Finite Group Databasebeta

← #29451789

Subgroups — #29451789

Order 15104.

2288 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21431306C211yesmaximal, characteristic, complemented
2#21430743C211yesmaximal, characteristic, complemented
3#21430308C211yesmaximal, characteristic, complemented
4#21429714C211yesmaximal, characteristic, complemented
5#21429711C211yesmaximal, characteristic, complemented
6#21429548C211yesmaximal, characteristic, complemented
7#21429545C211yesmaximal, characteristic, complemented
8#21429199C211yesmaximal, characteristic, complemented
9#21429190C211yesmaximal, characteristic, complemented
10#21429026C211yesmaximal, characteristic, complemented
11#21429021C211yesmaximal, characteristic, complemented
12#21428733C211yesmaximal, characteristic, complemented
13#21428725C211yesmaximal, characteristic, complemented
14#21428213C211yesmaximal, characteristic, complemented
15#21428211C211yesmaximal, characteristic, complemented
16#21428103C211yesmaximal, characteristic, complemented
17#21428095C211yesmaximal, characteristic, complemented
18#21427989C211yesmaximal, characteristic, complemented
19#21427983C211yesmaximal, characteristic, complemented
20#21427710C211yesmaximal, characteristic, complemented
21#21427410C211yesmaximal, characteristic, complemented
22#21427232C211yesmaximal, characteristic, complemented
23#21427224C211yesmaximal, characteristic, complemented
24#21427157C211yesmaximal, characteristic, complemented
25#21427076C211yesmaximal, characteristic, complemented
26#21427076C211yesmaximal, characteristic, complemented
27#21427074C211yesmaximal, characteristic, complemented
28#121×Dic59C211yesmaximal, characteristic, complemented
29#21426602C211yesmaximal, characteristic, complemented
30#21426581C211yesmaximal, characteristic, complemented
31C59×#2703C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C2×#14273723C2211yescharacteristic
34C2×#14273713C2211yescharacteristic, complemented
35C2×#14273710C2211yescharacteristic
36C2×#14273709C2211yescharacteristic
37C2×#14273709C2211yescharacteristic
38C2×#14273709C2211yescharacteristic, complemented
39C2×#14273708C2211yescharacteristic, complemented
40C2×#14273701C2211yescharacteristic
41C2×#14273699C2211yescharacteristic
42C2×#14273699C2211yescharacteristic, complemented
43C2×#14273698C2211yescharacteristic
44C2×#14273697C2211yescharacteristic
45C2×#14273695C2211yescharacteristic
46C2×#14273695C2211yescharacteristic
47C2×#14273695C2211yescharacteristic
48C2×C4×D236C2211yescharacteristic
49C2×D4×Dic59C2211yescharacteristic
50C2×D4×Dic59C2211yescharacteristic
51C2×D4×Dic59C2211yescharacteristic, complemented
52C2×#14273689C2211yescharacteristic
53C2×(C22⋊D59)⋊C4C2211yescharacteristic
54C2×(C22⋊D59)⋊C4C2211yescharacteristic
55C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
56C2×#14273683C2211yescharacteristic, complemented
57C22×(C2×D59)⋊C4C2211yescharacteristic
58C2×C22⋊C4×D59C2211yescharacteristic
59C2×C22⋊C4×D59C2211yescharacteristic
60C22×C4×Dic59C2211yescharacteristic, complemented
61#16837344C2211yescharacteristic, complemented
62#16837339C2211yescharacteristic
63#16837338C2211yescharacteristic
64#16837337C2211yescharacteristic
65#16837337C2211yescharacteristic
66#16837336C2211yescharacteristic, complemented
67#16837335C2211yescharacteristic, complemented
68#16837331C2211yescharacteristic, complemented
69#16837330C2211yescharacteristic, complemented
70#16837329C2211yescharacteristic, complemented
71#16837325C2211yescharacteristic, complemented
72#16837325C2211yescharacteristic, complemented
73#16837319C2211yescharacteristic
74#16837318C2211yescharacteristic
75#16837318C2211yescharacteristic, complemented
76#16837315C2211yescharacteristic
77#16837314C2211yescharacteristic
78#16837311C2211yescharacteristic
79#16837311C2211yescharacteristic
80#16837311C2211yescharacteristic
81#16837310C2211yescharacteristic
82#16837310C2211yescharacteristic
83#16837310C2211yescharacteristic
84#16837310C2211yescharacteristic
85#16837310C2211yescharacteristic
86#16837310C2211yescharacteristic, complemented
87#16837306C2211yescharacteristic, complemented
88#16837306C2211yescharacteristic, complemented
89#16837306C2211yescharacteristic, complemented
90#16837305C2211yescharacteristic
91#16837305C2211yescharacteristic
92#16837303C2211yescharacteristic
93#16837303C2211yescharacteristic
94#16837302C2211yescharacteristic
95#16837302C2211yescharacteristic
96#16837302C2211yescharacteristic
97#16837302C2211yescharacteristic
98#16837302C2211yescharacteristic
99#16837302C2211yescharacteristic
100#16837302C2211yescharacteristic
101#16837302C2211yescharacteristic, complemented
102#16837301C2211yescharacteristic, complemented
103#16837298C2211yescharacteristic, complemented
104#16837296C2211yescharacteristic, complemented
105#16837295C2211yescharacteristic
106#16837295C2211yescharacteristic
107#16837295C2211yescharacteristic, complemented
108#16837295C2211yescharacteristic, complemented
109#16837295C2211yescharacteristic, complemented
110#16837294C2211yescharacteristic
111#16837294C2211yescharacteristic
112#16837294C2211yescharacteristic, complemented
113#16837294C2211yescharacteristic, complemented
114#16837292C2211yescharacteristic
115#16837291C2211yescharacteristic
116#16837291C2211yescharacteristic
117#16837291C2211yescharacteristic, complemented
118#16837290C2211yescharacteristic, complemented
119#16837290C2211yescharacteristic, complemented
120#16837289C2211yescharacteristic, complemented
121#16837288C2211yescharacteristic, complemented
122#16837288C2211yescharacteristic, complemented
123#16837287C2211yescharacteristic, complemented
124#16837287C2211yescharacteristic, complemented
125#16837286C2211yescharacteristic, complemented
126#16837284C2211yescharacteristic, complemented
127#16837284C2211yescharacteristic, complemented
128#16837282C2211yescharacteristic
129#16837282C2211yescharacteristic
130#16837282C2211yescharacteristic, complemented
131#16837282C2211yescharacteristic, complemented
132#16837281C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837279C2211yescharacteristic
136#16837279C2211yescharacteristic
137#16837279C2211yescharacteristic
138#16837279C2211yescharacteristic
139#16837279C2211yescharacteristic, complemented
140#16837279C2211yescharacteristic, complemented
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic
144#16837278C2211yescharacteristic
145#16837278C2211yescharacteristic
146#16837278C2211yescharacteristic, complemented
147#16837276C2211yescharacteristic
148#16837276C2211yescharacteristic
149#16837276C2211yescharacteristic
150#16837274C2211yescharacteristic
151#16837274C2211yescharacteristic
152#16837273C2211yescharacteristic
153#16837264C2211yescharacteristic
154#16837262C2211yescharacteristic, complemented
155C4⋊C4×Dic59C2211yescharacteristic, complemented
156C4⋊C4×Dic59C2211yescharacteristic, complemented
157C4⋊C4×Dic59C2211yescharacteristic, complemented
158C4×Dic59⋊C4C2211yescharacteristic, complemented
159C22⋊C4×Dic59C2211yescharacteristic
160C22⋊C4×Dic59C2211yescharacteristic, complemented
161C22⋊C4×Dic59C2211yescharacteristic, complemented
162C22⋊C4×Dic59C2211yescharacteristic, complemented
163C22⋊C4×Dic59C2211yescharacteristic, complemented
164C4×(C2×D59)⋊C4C2211yescharacteristic
165C4×C22⋊Dic59C2211yescharacteristic
166C4×C22⋊Dic59C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic
170#16837249C2211yescharacteristic
171#16837249C2211yescharacteristic, complemented
172C2×#123×C59C2211yescharacteristic
173C2×#121×C59C2211yescharacteristic
174C59×#400C2211yescharacteristic, complemented
175C59×#397C2211yescharacteristic, complemented
176C59×#394C2211yescharacteristic, complemented
177C59×#392C2211yescharacteristic
178C59×#392C2211yescharacteristic
179C59×#392C2211yescharacteristic, complemented
180C59×#390C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic
182C59×#388C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic, complemented
186C59×#380C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C2×#11745687—24no—
189C2×#11745687—42no—
190C2×#11745687—42no—
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214#14273723—24no—
215#14273713—42no—
216#14273710—42no—
217#14273709—24no—
218#14273709—42no—
219#14273709—42no—
220#14273708—42no—
221#14273701—24no—
222#14273699—42no—
223#14273699—42no—
224#14273698—42no—
225#14273697—24no—
226#14273695—24no—
227#14273695—24no—
228#14273695—42no—
229C4×D236—42no—
230D4×Dic59—42no—
231D4×Dic59—42no—
232D4×Dic59—42no—
233#14273689—42no—
234(C22⋊D59)⋊C4—42no—
235(C22⋊D59)⋊C4—42no—
236(C22⋊D59)⋊C4—42no—
237#14273683—42no—
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×(C2×D59)⋊C4—42no—
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C22⋊C4×D59—42no—
297C22⋊C4×D59—42no—
298C2×C4×Dic59—42no—
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C22×D4×C59C2311yescharacteristic
339C22×D4×C59C2311yescharacteristic
340C22×D4×C59C2311yescharacteristic
341C22×D4×C59C2311yescharacteristic
342C22×D4×C59C2311yescharacteristic
343C22×D4×C59C2311yescharacteristic
344C23×C4×C59C2311yescharacteristic
345C23×C4×C59C2311yescharacteristic
346#123×C59—24no—
347#121×C59—24no—
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C4⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C42×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375C24×C59C2411yescharacteristic
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C24×C59C2411yescharacteristic
379C23×D59—22no—
380C23×D59—22no—
381C23×D59—22no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59—41no—
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C2×D4×C59—22no—
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—22no—
395C2×D4×C59—22no—
396C2×D4×C59—22no—
397C2×D4×C59—41no—
398C2×D4×C59—41no—
399C2×D4×C59—41no—
400C2×D4×C59—41no—
401C2×D4×C59—41no—
402C2×D4×C59—41no—
403C2×D4×C59—41no—
404C2×D4×C59—41no—
405C2×D4×C59—41no—
406C2×D4×C59—41no—
407C22×C4×C59—22no—
408C22×C4×C59—22no—
409C22×C4×C59—22no—
410C22×C4×C59—41no—
411C22×C4×C59—41no—
412C22×C4×C59—41no—
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C2×C22⋊D59—22no—
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—22no—
430C2×C22⋊D59—22no—
431C2×C22⋊D59—22no—
432C2×C22⋊D59—22no—
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59—41no—
453C2×C22⋊D59#4114yes—
454C22×Dic59—22no—
455C22×Dic59—22no—
456C22×Dic59—22no—
457C22×Dic59—22no—
458C22×Dic59—22no—
459C22×Dic59—22no—
460C22×Dic59—22no—
461C22×Dic59—22no—
462C22×Dic59—22no—
463C22×Dic59—41no—
464C22×Dic59—41no—
465C22×Dic59—41no—
466C22×Dic59—41no—
467C22×Dic59—41no—
468C22×Dic59—41no—
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479C22×Dic59C2411yescharacteristic
480C22×Dic59C2411yescharacteristic
481C22×Dic59C2411yescharacteristic
482#11745687—416no—
483C2×D236—22no—
484C2×D236—22no—
485C2×D236—22no—
486C2×D236—22no—
487C2×D236—41no—
488C2×D236—41no—
489C2×C4×D59—22no—
490C2×C4×D59—22no—
491C2×C4×D59—22no—
492C2×C4×D59—22no—
493C2×C4×D59—22no—
494C2×C4×D59—41no—
495C2×C4×D59—41no—
496C2×C4×D59—41no—
497C2×C4×D59—41no—
498C2×C4×D59—41no—
499C2×C4×D59—41no—
500C2×C4×D59—41no—
501C2×C4×D59—41no—
502C2×C4×D59—41no—
503C2×C4×D59—41no—
504C2×Dic118—22no—
505C2×Dic118—22no—
506C2×Dic118—41no—
507C4⋊C4×C59—22no—
508C4⋊C4×C59—22no—
509C4⋊C4×C59—22no—
510C4⋊C4×C59—41no—
511C22⋊C4×C59—22no—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—22no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59—41no—
517C22⋊C4×C59—41no—
518C22⋊C4×C59—41no—
519C22⋊C4×C59—41no—
520C22⋊C4×C59—41no—
521C22⋊C4×C59—41no—
522C22⋊C4×C59—41no—
523C22⋊C4×C59—41no—
524C22⋊C4×C59#4114yescomplemented
525C42×C59—41no—
526C22⋊Dic59—22no—
527C22⋊Dic59—22no—
528C22⋊Dic59—22no—
529C22⋊Dic59—22no—
530C22⋊Dic59—22no—
531C22⋊Dic59—22no—
532C22⋊Dic59—22no—
533C22⋊Dic59—22no—
534C22⋊Dic59—22no—
535C22⋊Dic59—22no—
536C22⋊Dic59—22no—
537C22⋊Dic59—41no—
538C22⋊Dic59—41no—
539C22⋊Dic59—41no—
540C22⋊Dic59—41no—
541C22⋊Dic59—41no—
542(C2×D59)⋊C4—22no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—22no—
550(C2×D59)⋊C4—22no—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—41no—
557(C2×D59)⋊C4—41no—
558(C2×D59)⋊C4—41no—
559(C2×D59)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563(C2×D59)⋊C4—41no—
564(C2×D59)⋊C4—41no—
565(C2×D59)⋊C4#4114yescomplemented
566C4⋊Dic59—22no—
567C4⋊Dic59—22no—
568C4⋊Dic59—22no—
569C4⋊Dic59—22no—
570C4⋊Dic59—41no—
571C4⋊Dic59—41no—
572C4⋊Dic59—41no—
573Dic59⋊C4—22no—
574Dic59⋊C4—22no—
575Dic59⋊C4—22no—
576Dic59⋊C4—22no—
577Dic59⋊C4—22no—
578Dic59⋊C4—41no—
579Dic59⋊C4—41no—
580Dic59⋊C4—41no—
581Dic59⋊C4—41no—
582Dic59⋊C4—41no—
583C4×Dic59—22no—
584C4×Dic59—22no—
585C4×Dic59—22no—
586C4×Dic59—41no—
587C4×Dic59—41no—
588C4×Dic59—41no—
589C4×Dic59—41no—
590C4×Dic59—41no—
591C4×Dic59—41no—
592C4×Dic59—41no—
593C4×Dic59—41no—
594C4×Dic59—41no—
595C4×Dic59—41no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59C2×#4112yes—
623C23×C59C2×#4112yes—
624C23×C59C2511yescharacteristic
625C22×D59—21no—
626C22×D59—21no—
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—44no—
645C22×D59—44no—
646C22×D59—44no—
647C22×D59—82no—
648C22×D59—82no—
649C22×D59—82no—
650C22×D59—82no—
651C22×D59C2×#4112yes—
652C22×D59C2×#4112yes—
653D4×C59—44no—
654D4×C59—44no—
655D4×C59—44no—
656D4×C59—44no—
657D4×C59—82no—
658D4×C59—82no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—44no—
690C2×C4×C59—82no—
691C2×C4×C59C2×#4112yes—
692C2×C4×C59C2×#4112yes—
693C2×C4×C59C2×#4112yes—
694C22⋊D59—44no—
695C22⋊D59—44no—
696C22⋊D59—44no—
697C22⋊D59—44no—
698C22⋊D59—44no—
699C22⋊D59—82no—
700C22⋊D59—82no—
701C22⋊D59—82no—
702C22⋊D59—82no—
703C22⋊D59—82no—
704C2×Dic59—28no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—44no—
739C2×Dic59—44no—
740C2×Dic59—82no—
741C2×Dic59—82no—
742C2×Dic59C2×#4112yes—
743C2×Dic59C2×#4112yes—
744C2×Dic59H(5,𝔽2)12yes—
745C2×Dic59H(5,𝔽2)12yes—
746C2×Dic59H(5,𝔽2)12yes—
747C2×Dic59H(5,𝔽2)12yes—
748D236—44no—
749D236—44no—
750C4×D59—44no—
751C4×D59—82no—
752C4×D59—82no—
753C4×D59—82no—
754C4×D59—82no—
755Dic118—44no—
756#60034—591nomaximal, Sylow
757C22×C59—22no—
758C22×C59—22no—
759C22×C59—22no—
760C22×C59—22no—
761C22×C59—22no—
762C22×C59—22no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59—41no—
775C22×C59—41no—
776C22×C59—41no—
777C22×C59—41no—
778C22×C59—41no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59C22×#4111yescharacteristic
786C22×C59C22×#4111yescharacteristic
787C22×C59C22×#4111yescharacteristic
788C22×C59C2×H(5,𝔽2)11yescharacteristic
789C22×C59C2×H(5,𝔽2)11yescharacteristic
790C22×C59C2×H(5,𝔽2)11yescharacteristic
791C22×C59C2×H(5,𝔽2)11yescharacteristic
792C2×D59—22no—
793C2×D59—22no—
794C2×D59—22no—
795C2×D59—22no—
796C2×D59—22no—
797C2×D59—22no—
798C2×D59—41no—
799C2×D59—41no—
800C2×D59—41no—
801C2×D59—41no—
802C2×D59—41no—
803C2×D59—41no—
804C2×D59—41no—
805C2×D59—41no—
806C2×D59—41no—
807C2×D59—41no—
808C2×D59—41no—
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—88no—
814C4×C59—22no—
815C4×C59—22no—
816C4×C59—22no—
817C4×C59—41no—
818C4×C59—41no—
819C4×C59—41no—
820C4×C59—41no—
821C4×C59—41no—
822C4×C59—41no—
823C4×C59—41no—
824C4×C59—41no—
825Dic59—22no—
826Dic59—22no—
827Dic59—22no—
828Dic59—22no—
829Dic59—22no—
830Dic59—22no—
831Dic59—41no—
832Dic59—41no—
833Dic59—41no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838#2748—591no—
839#2703—591no—
840#2703D5911yescharacteristic, complemented
841#2669—591no—
842#2602—591no—
843#2602—591no—
844#2589—591no—
845#2589—591no—
846#2557—591no—
847#2557—591no—
848#2539—591no—
849#2539—591no—
850#2516—591no—
851#2516—591no—
852#2471—591no—
853#2471—591no—
854#2464—591no—
855#2464—591no—
856#2456—591no—
857#2456—591no—
858#2431—591no—
859#2404—591no—
860#2374—591no—
861#2374—591no—
862#2366—591no—
863#2358—591no—
864#2358—591no—
865#2358—591no—
866C4×#121—591no—
867C4×#121—591no—
868#2297—591no—
869C2×C59—42no—
870C2×C59—42no—
871C2×C59—81no—
872C2×C59—81no—
873C2×C59#348111yescharacteristic
874C2×C59#348111yescharacteristic
875C2×C59#348111yescharacteristic
876C2×C59#349011yescharacteristic
877C2×C59#350811yescharacteristic
878C2×C59#350811yescharacteristic
879C2×C59#353711yescharacteristic
880D59—42no—
881D59—42no—
882D59—81no—
883C22×#41—591no—
884C2×#127—591no—
885C2×#124—591no—
886C2×#123—591no—
887C2×#123—591no—
888C2×#123—591no—
889C2×#123—591no—
890C2×#123—591no—
891C2×#123C2×D5911yescharacteristic
892C2×#121—591no—
893C2×#121—591no—
894C2×#121—591no—
895C2×#121—591no—
896C2×#121C2×D5911yescharacteristic
897C2×#120—591no—
898C2×#120—591no—
899C2×#120—591no—
900C2×#120—591no—
901C2×C4×D4—591no—
902C2×C4×D4—591no—
903C2×C4×D4—591no—
904C2×C4×D4—591no—
905C2×C4×D4—591no—
906C2×C4×D4—591no—
907C2×C4×D4—591no—
908C2×C4×D4—591no—
909C2×#117—591no—
910C22×C22⋊C4—591no—
911C22×C22⋊C4—591no—
912C22×C22⋊C4—591no—
913C22×C42—591no—
914#400—591no—
915#400C2×D5911yescharacteristic, complemented
916#399—591no—
917#399—591no—
918#399—591no—
919#399—591no—
920#398—591no—
921#398—591no—
922#397—591no—
923#397—591no—
924#397—591no—
925#397C2×D5911yescharacteristic, complemented
926#396—591no—
927#396—591no—
928#394—591no—
929#394—591no—
930#394—591no—
931#394C2×D5911yescharacteristic, complemented
932#393—591no—
933#393—591no—
934#392—591no—
935#392—591no—
936#392—591no—
937#392—591no—
938#392—591no—
939#392—591no—
940#392—591no—
941#392—591no—
942#392—591no—
943#392C2×D5911yescharacteristic
944#392C2×D5911yescharacteristic
945#392C2×D5911yescharacteristic, complemented
946#391—591no—
947#391—591no—
948#391—591no—
949#390—591no—
950#390—591no—
951#390—591no—
952#390—591no—
953#390—591no—
954#390—591no—
955#390—591no—
956#390—591no—
957#390—591no—
958#390—591no—
959#390—591no—
960#390—591no—
961#390C2×D5911yescharacteristic, complemented
962#389—591no—
963#389—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388C2×D5911yescharacteristic
981#388C2×D5911yescharacteristic, complemented
982#387—591no—
983#387—591no—
984#387—591no—
985#387—591no—
986#387—591no—
987#387—591no—
988#387—591no—
989#387—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#386—591no—
1005#386—591no—
1006#386—591no—
1007#386—591no—
1008#386—591no—
1009#386C2×D5911yescharacteristic
1010#386C2×D5911yescharacteristic
1011#386C2×D5911yescharacteristic, complemented
1012#385—591no—
1013#385—591no—
1014#385—591no—
1015#385—591no—
1016#385—591no—
1017#385—591no—
1018#381—591no—
1019#380—591no—
1020#380C2×D5911yescharacteristic, complemented
1021C4×C4⋊C4—591no—
1022C4×C4⋊C4—591no—
1023C4×C4⋊C4—591no—
1024C4×C4⋊C4—591no—
1025C4×C22⋊C4—591no—
1026C4×C22⋊C4—591no—
1027C4×C22⋊C4—591no—
1028C4×C22⋊C4—591no—
1029C4×C22⋊C4—591no—
1030C4×C22⋊C4—591no—
1031C4×C22⋊C4—591no—
1032C4×C22⋊C4—591no—
1033C4×C22⋊C4—591no—
1034C4×C22⋊C4—591no—
1035C4×C22⋊C4—591no—
1036C4×C22⋊C4—591no—
1037C4×C22⋊C4—591no—
1038C59#6003411yescharacteristic, complemented, Sylow
1039C25—591no—
1040C2×#41—1184no—
1041C2×#41—2362no—
1042C2×#41—2362no—
1043C22×Q8—591no—
1044C22×D4—591no—
1045C22×D4—591no—
1046C22×D4—591no—
1047C22×D4—591no—
1048C22×D4—591no—
1049C22×D4—591no—
1050C22×D4—591no—
1051C22×D4—591no—
1052C22×D4—591no—
1053C22×D4—591no—
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4C22×D5911yescharacteristic
1057C22×D4C22×D5911yescharacteristic
1058C22×D4C22×D5911yescharacteristic
1059C22×D4C22×D5911yescharacteristic
1060C22×D4C22×D5911yescharacteristic
1061C22×D4C22×D5911yescharacteristic
1062C23×C4—591no—
1063C23×C4—591no—
1064C23×C4—591no—
1065C23×C4—591no—
1066C23×C4—591no—
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4—591no—
1070C23×C4—591no—
1071C23×C4—591no—
1072C23×C4C22×D5911yescharacteristic
1073C23×C4C22×D5911yescharacteristic
1074#127—1184no—
1075#124—2362no—
1076#123—24no—
1077#123—1184no—
1078#123—2362no—
1079#123—2362no—
1080#123—2362no—
1081#123—2362no—
1082#121—24no—
1083#121—1184no—
1084#121—2362no—
1085#121—2362no—
1086#121—2362no—
1087#120—1184no—
1088#120—1184no—
1089#120—1184no—
1090#120—2362no—
1091C4×D4—2362no—
1092C4×D4—2362no—
1093C4×D4—2362no—
1094C4×D4—2362no—
1095C4×D4—2362no—
1096C4×D4—2362no—
1097C4×D4—2362no—
1098C4×D4—2362no—
1099#117—2362no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—591no—
1106C2×C4⋊C4—591no—
1107C2×C4⋊C4—591no—
1108C2×C4⋊C4—591no—
1109C2×C4⋊C4—591no—
1110C2×C4⋊C4—591no—
1111C2×C4⋊C4—591no—
1112C2×C4⋊C4—591no—
1113C2×C4⋊C4—591no—
1114C2×C4⋊C4—591no—
1115C2×C4⋊C4—591no—
1116C2×C4⋊C4—591no—
1117C2×C4⋊C4C22×D5911yescharacteristic
1118C2×C4⋊C4C22×D5911yescharacteristic
1119C2×C4⋊C4C22×D5911yescharacteristic
1120C2×C4⋊C4C22×D5911yescharacteristic
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—2362no—
1162C2×C22⋊C4—2362no—
1163C2×C22⋊C4—2362no—
1164C2×C22⋊C4C22×D5911yescharacteristic
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C22⋊C4C22×D5911yescharacteristic
1167C2×C22⋊C4C22×D5911yescharacteristic
1168C2×C22⋊C4C22×D5911yescharacteristic
1169C2×C22⋊C4C22×D5911yescharacteristic
1170C2×C22⋊C4C22×D5911yescharacteristic
1171C2×C22⋊C4C22×D5911yescharacteristic
1172C2×C22⋊C4C22×D5911yescharacteristic
1173C2×C22⋊C4C22×D5911yescharacteristic
1174C2×C22⋊C4C22×D5911yescharacteristic
1175C2×C22⋊C4C22×D5911yescharacteristic
1176C2×C22⋊C4C22×D5911yescharacteristic
1177C2×C22⋊C4C22×D5911yescharacteristic
1178C2×C42—591no—
1179C2×C42—591no—
1180C2×C42—591no—
1181C2×C42—591no—
1182C2×C42—591no—
1183C2×C42—591no—
1184C2×C42—591no—
1185C2×C42—591no—
1186C2×C42—591no—
1187C2×C42—591no—
1188C2×C42—591no—
1189C2×C42—591no—
1190C2×C42—591no—
1191C2×C42—2362no—
1192C2×C42C22×D5911yescharacteristic
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95—591no—
1210#95—591no—
1211#95—591no—
1212#95—591no—
1213#95—591no—
1214#95—591no—
1215#95—591no—
1216#95—591no—
1217#95—591no—
1218#95—591no—
1219#95C22×D5911yescharacteristic
1220#95C22×D5911yescharacteristic
1221#95C22×D5911yescharacteristic
1222#95C22×D5911yescharacteristic
1223#95C22×D5911yescharacteristic
1224#95C22×D5911yescharacteristic
1225#95C22×D5911yescharacteristic
1226#95C22×D5911yescharacteristic
1227C24—591no—
1228C24—591no—
1229C24—591no—
1230C24—1182no—
1231C24—1182no—
1232C24—1182no—
1233C24—2361no—
1234C24—2361no—
1235C24—2361no—
1236C24—2361no—
1237C24C23×D5911yescharacteristic
1238C24C23×D5911yescharacteristic
1239C24C23×D5911yescharacteristic
1240C24C23×D5911yescharacteristic
1241#41—23616no—
1242C2×Q8—1182no—
1243C2×Q8—1182no—
1244C2×Q8—2361no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—22no—
1252C2×D4—22no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—594no—
1264C2×D4—1182no—
1265C2×D4—1182no—
1266C2×D4—1182no—
1267C2×D4—1182no—
1268C2×D4—1182no—
1269C2×D4—1182no—
1270C2×D4—1182no—
1271C2×D4—1182no—
1272C2×D4—1182no—
1273C2×D4—1182no—
1274C2×D4—1182no—
1275C2×D4—1182no—
1276C2×D4—1182no—
1277C2×D4—1182no—
1278C2×D4—1182no—
1279C2×D4—1182no—
1280C2×D4—2361no—
1281C2×D4—2361no—
1282C2×D4—2361no—
1283C2×D4—2361no—
1284C2×D4—2361no—
1285C2×D4—2361no—
1286C2×D4—2361no—
1287C2×D4—2361no—
1288C2×D4—2361no—
1289C2×D4—2361no—
1290C2×D4—2361no—
1291C2×D4—2361no—
1292C2×D4—2361no—
1293C2×D4—2361no—
1294C2×D4—2361no—
1295C2×D4—2361no—
1296C2×D4—2361no—
1297C2×D4—2361no—
1298C2×D4—2361no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—591no—
1306C22×C4—591no—
1307C22×C4—591no—
1308C22×C4—591no—
1309C22×C4—591no—
1310C22×C4—591no—
1311C22×C4—591no—
1312C22×C4—591no—
1313C22×C4—591no—
1314C22×C4—591no—
1315C22×C4—591no—
1316C22×C4—591no—
1317C22×C4—591no—
1318C22×C4—1182no—
1319C22×C4—1182no—
1320C22×C4—1182no—
1321C22×C4—1182no—
1322C22×C4—1182no—
1323C22×C4—1182no—
1324C22×C4—1182no—
1325C22×C4—1182no—
1326C22×C4—1182no—
1327C22×C4—1182no—
1328C22×C4—1182no—
1329C22×C4—1182no—
1330C22×C4—1182no—
1331C22×C4—1182no—
1332C22×C4—2361no—
1333C22×C4—2361no—
1334C22×C4—2361no—
1335C22×C4—2361no—
1336C22×C4—2361no—
1337C22×C4—2361no—
1338C22×C4—2361no—
1339C22×C4—2361no—
1340C22×C4—2361no—
1341C22×C4—2361no—
1342C22×C4—2361no—
1343C22×C4—2361no—
1344C22×C4—2361no—
1345C22×C4—2361no—
1346C22×C4—2361no—
1347C22×C4—2361no—
1348C22×C4C23×D5911yescharacteristic
1349C22×C4C23×D5911yescharacteristic
1350C22×C4C23×D5911yescharacteristic
1351C22×C4C23×D5911yescharacteristic
1352C22×C4C23×D5911yescharacteristic
1353C22×C4C23×D5911yescharacteristic
1354C22×C4C23×D5911yescharacteristic
1355C22×C4C23×D5911yescharacteristic
1356C22×C4C23×D5911yescharacteristic
1357C22×C4C23×D5911yescharacteristic
1358C22×C4C23×D5911yescharacteristic
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—41no—
1363C4⋊C4—1182no—
1364C4⋊C4—1182no—
1365C4⋊C4—1182no—
1366C4⋊C4—1182no—
1367C4⋊C4—1182no—
1368C4⋊C4—1182no—
1369C4⋊C4—1182no—
1370C4⋊C4—1182no—
1371C4⋊C4—1182no—
1372C4⋊C4—2361no—
1373C4⋊C4—2361no—
1374C4⋊C4—2361no—
1375C4⋊C4—2361no—
1376C4⋊C4—2361no—
1377C4⋊C4—2361no—
1378C4⋊C4—2361no—
1379C4⋊C4—2361no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—594no—
1394C22⋊C4—1182no—
1395C22⋊C4—1182no—
1396C22⋊C4—1182no—
1397C22⋊C4—1182no—
1398C22⋊C4—1182no—
1399C22⋊C4—1182no—
1400C22⋊C4—1182no—
1401C22⋊C4—1182no—
1402C22⋊C4—1182no—
1403C22⋊C4—1182no—
1404C22⋊C4—1182no—
1405C22⋊C4—1182no—
1406C22⋊C4—1182no—
1407C22⋊C4—1182no—
1408C22⋊C4—1182no—
1409C22⋊C4—1182no—
1410C22⋊C4—1182no—
1411C22⋊C4—1182no—
1412C22⋊C4—1182no—
1413C22⋊C4—1182no—
1414C22⋊C4—1182no—
1415C22⋊C4—1182no—
1416C22⋊C4—1182no—
1417C22⋊C4—1182no—
1418C22⋊C4—1182no—
1419C22⋊C4—2361no—
1420C22⋊C4—2361no—
1421C22⋊C4—2361no—
1422C22⋊C4—2361no—
1423C22⋊C4—2361no—
1424C22⋊C4—2361no—
1425C22⋊C4—2361no—
1426C22⋊C4—2361no—
1427C22⋊C4—2361no—
1428C22⋊C4—2361no—
1429C22⋊C4—2361no—
1430C22⋊C4—2361no—
1431C22⋊C4—2361no—
1432C22⋊C4—2361no—
1433C22⋊C4#1174568714yescomplemented
1434C42—41no—
1435C42—1182no—
1436C42—1182no—
1437C42—1182no—
1438C42—2361no—
1439C42—2361no—
1440C42—2361no—
1441C42—2361no—
1442C42—2361no—
1443C42—2361no—
1444C42—2361no—
1445C42—2361no—
1446C42—2361no—
1447C42—2361no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—592no—
1475C23—592no—
1476C23—1181no—
1477C23—1181no—
1478C23—1181no—
1479C23—1181no—
1480C23—1181no—
1481C23—1181no—
1482C23—1181no—
1483C23—1181no—
1484C23—1181no—
1485C23—1181no—
1486C23—1181no—
1487C23—1181no—
1488C23—1181no—
1489C23—1181no—
1490C23—1181no—
1491C23—1181no—
1492C23—1181no—
1493C23—1181no—
1494C23—1181no—
1495C23—4722no—
1496C23—4722no—
1497C23—4722no—
1498C23—4722no—
1499C23—2364no—
1500C23—2364no—
1501C23—2364no—
1502C23#41×D5912yes—
1503C23C2×#1174568712yes—
1504C23C24×D5911yescharacteristic
1505Q8—2364no—
1506D4—44no—
1507D4—44no—
1508D4—44no—
1509D4—44no—
1510D4—82no—
1511D4—82no—
1512D4—4722no—
1513D4—4722no—
1514D4—4722no—
1515D4—4722no—
1516D4—4722no—
1517D4—2364no—
1518D4—2364no—
1519D4—2364no—
1520D4—2364no—
1521D4—2364no—
1522D4—2364no—
1523D4—2364no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—44no—
1555C2×C4—82no—
1556C2×C4—592no—
1557C2×C4—592no—
1558C2×C4—592no—
1559C2×C4—592no—
1560C2×C4—592no—
1561C2×C4—592no—
1562C2×C4—1188no—
1563C2×C4—1181no—
1564C2×C4—1181no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—1181no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—1181no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—4722no—
1597C2×C4—4722no—
1598C2×C4—4722no—
1599C2×C4—4722no—
1600C2×C4—4722no—
1601C2×C4—4722no—
1602C2×C4—2364no—
1603C2×C4—2364no—
1604C2×C4—2364no—
1605C2×C4#41×D5912yes—
1606C2×C4C2×#1174568712yes—
1607C2×C4C2×#1174568712yes—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—1182no—
1637C22—1182no—
1638C22—1182no—
1639C22—1182no—
1640C22—1182no—
1641C22—1182no—
1642C22—4728no—
1643C22—2361no—
1644C22—2361no—
1645C22—2361no—
1646C22—2361no—
1647C22—2361no—
1648C22—2361no—
1649C22—2361no—
1650C22—2361no—
1651C22—2361no—
1652C22—2361no—
1653C22—2361no—
1654C22—2361no—
1655C22—2361no—
1656C22—2361no—
1657C22—2361no—
1658C22C2×#41×D5911yescharacteristic
1659C22C2×#41×D5911yescharacteristic
1660C22C22×#1174568711yescharacteristic
1661C22H(5,𝔽2)×D5911yescharacteristic
1662C22H(5,𝔽2)×D5911yescharacteristic
1663C22H(5,𝔽2)×D5911yescharacteristic
1664C22H(5,𝔽2)×D5911yescharacteristic
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—1182no—
1677C4—1182no—
1678C4—1182no—
1679C4—1182no—
1680C4—1182no—
1681C4—1182no—
1682C4—2361no—
1683C4—2361no—
1684C4—2361no—
1685C4—2361no—
1686C4—2361no—
1687C4—2361no—
1688C4—2361no—
1689C2—42no—
1690C2—42no—
1691C2—81no—
1692C2—81no—
1693C2—4721no—
1694C2—2362no—
1695C2—2362no—
1696C2#2143770111yescharacteristic
1697C2#2143770111yescharacteristic
1698C2#2143770311yescharacteristic
1699C2#2143778211yescharacteristic
1700C2#2143796811yescharacteristic
1701C2#2143797111yescharacteristic
1702C2#2143833011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2703C2
hypercenter#2703D59
hypocenterC59#60034
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2703

Complements

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

NH ≅ G/Ntype
1. #21431306C2semidirect
2. #21430743C2semidirect
3. #21430308C2semidirect
4. #21429714C2semidirect
5. #21429711C2semidirect
6. #21429548C2semidirect
7. #21429545C2semidirect
8. #21429199C2semidirect
9. #21429190C2semidirect
10. #21429026C2semidirect
11. #21429021C2semidirect
12. #21428733C2semidirect
13. #21428725C2semidirect
14. #21428213C2semidirect
15. #21428211C2semidirect
16. #21428103C2semidirect
17. #21428095C2semidirect
18. #21427989C2semidirect
19. #21427983C2semidirect
20. #21427710C2semidirect
21. #21427410C2semidirect
22. #21427232C2semidirect
23. #21427224C2semidirect
24. #21427157C2semidirect
25. #21427076C2semidirect
26. #21427076C2semidirect
27. #21427074C2semidirect
28. #121×Dic59C2semidirect
29. #21426602C2semidirect
30. #21426581C2semidirect
31. C59×#2703C2semidirect
34. C2×#14273713C22semidirect
38. C2×#14273709C22semidirect
39. C2×#14273708C22semidirect
42. C2×#14273699C22semidirect
51. C2×D4×Dic59C22semidirect
55. C2×(C22⋊D59)⋊C4C22semidirect
56. C2×#14273683C22semidirect
60. C22×C4×Dic59C22semidirect
61. #16837344C22semidirect
66. #16837336C22semidirect
67. #16837335C22semidirect
68. #16837331C22semidirect
69. #16837330C22semidirect
70. #16837329C22semidirect
71. #16837325C22semidirect
72. #16837325C22semidirect
75. #16837318C22semidirect
86. #16837310C22semidirect
87. #16837306C22semidirect
88. #16837306C22semidirect
89. #16837306C22semidirect
101. #16837302C22semidirect
102. #16837301C22semidirect
103. #16837298C22semidirect
104. #16837296C22semidirect
107. #16837295C22semidirect
108. #16837295C22semidirect
109. #16837295C22semidirect
112. #16837294C22semidirect
113. #16837294C22semidirect
117. #16837291C22semidirect
118. #16837290C22semidirect
119. #16837290C22semidirect
120. #16837289C22semidirect
121. #16837288C22semidirect
122. #16837288C22semidirect
123. #16837287C22semidirect
124. #16837287C22semidirect
125. #16837286C22semidirect
126. #16837284C22semidirect
127. #16837284C22semidirect
130. #16837282C22semidirect
131. #16837282C22semidirect
139. #16837279C22semidirect
140. #16837279C22semidirect
146. #16837278C22semidirect
154. #16837262C22semidirect
155. C4⋊C4×Dic59C22semidirect
156. C4⋊C4×Dic59C22semidirect
157. C4⋊C4×Dic59C22semidirect
158. C4×Dic59⋊C4C22semidirect
160. C22⋊C4×Dic59C22semidirect
161. C22⋊C4×Dic59C22semidirect
162. C22⋊C4×Dic59C22semidirect
163. C22⋊C4×Dic59C22semidirect
171. #16837249C22semidirect
174. C59×#400C22semidirect
175. C59×#397C22semidirect
176. C59×#394C22semidirect
179. C59×#392C22semidirect
180. C59×#390C22semidirect
182. C59×#388C22semidirect
185. C59×#386C22semidirect
186. C59×#380C22semidirect
524. C22⋊C4×C59#41semidirect
565. (C2×D59)⋊C4#41semidirect
840. #2703D59semidirect
915. #400C2×D59semidirect
925. #397C2×D59semidirect
931. #394C2×D59semidirect
945. #392C2×D59semidirect
961. #390C2×D59semidirect
981. #388C2×D59semidirect
1011. #386C2×D59semidirect
1020. #380C2×D59semidirect
1038. C59#60034semidirect
1433. C22⋊C4#11745687semidirect

Maximal subgroups

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

subgroupindex
#214313062
#214307432
#214303082
#214297142
#214297112
#214295482
#214295452
#214291992
#214291902
#214290262
#214290212
#214287332
#214287252
#214282132
#214282112
#214281032
#214280952
#214279892
#214279832
#214277102
#214274102
#214272322
#214272242
#214271572
#214270762
#214270742
#121×Dic592
#214266022
#214265812
C59×#27032
#6003459