Finite Group Databasebeta

← #29451786

Subgroups — #29451786

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#21431304C211yesmaximal, characteristic, complemented
2#21430734C211yesmaximal, characteristic, complemented
3#21430733C211yesmaximal, characteristic, complemented
4#21430311C211yesmaximal, characteristic, complemented
5#21429715C211yesmaximal, characteristic, complemented
6#21429714C211yesmaximal, characteristic, complemented
7#21429547C211yesmaximal, characteristic, complemented
8#21429543C211yesmaximal, characteristic, complemented
9#21429201C211yesmaximal, characteristic, complemented
10#21429195C211yesmaximal, characteristic, complemented
11#21429026C211yesmaximal, characteristic, complemented
12#21429025C211yesmaximal, characteristic, complemented
13#21428736C211yesmaximal, characteristic, complemented
14#21428724C211yesmaximal, characteristic, complemented
15#21428214C211yesmaximal, characteristic, complemented
16#21428207C211yesmaximal, characteristic, complemented
17#21428106C211yesmaximal, characteristic, complemented
18#21428102C211yesmaximal, characteristic, complemented
19#21427994C211yesmaximal, characteristic, complemented
20#21427987C211yesmaximal, characteristic, complemented
21#21427715C211yesmaximal, characteristic, complemented
22#21427413C211yesmaximal, characteristic, complemented
23#21427230C211yesmaximal, characteristic, complemented
24#21427160C211yesmaximal, characteristic, complemented
25#21427078C211yesmaximal, characteristic, complemented
26#21427078C211yesmaximal, characteristic, complemented
27#21427074C211yesmaximal, characteristic, complemented
28C4×#14273702C211yesmaximal, characteristic, complemented
29#21426608C211yesmaximal, characteristic, complemented
30#21426582C211yesmaximal, characteristic, complemented
31C59×#2374C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C2×#14273724C2211yescharacteristic
34C2×#14273715C2211yescharacteristic, complemented
35C2×#14273712C2211yescharacteristic
36C2×#14273710C2211yescharacteristic
37C2×#14273709C2211yescharacteristic
38C2×#14273709C2211yescharacteristic, complemented
39C2×#14273709C2211yescharacteristic, complemented
40C2×#14273702C2211yescharacteristic
41C2×#14273701C2211yescharacteristic, complemented
42C2×#14273700C2211yescharacteristic
43C2×#14273700C2211yescharacteristic
44C2×#14273699C2211yescharacteristic
45C2×#14273697C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×#14273697C2211yescharacteristic
48C2×#14273695C2211yescharacteristic
49C2×C4×D236C2211yescharacteristic
50C2×C4×D236C2211yescharacteristic
51C2×C4×D236C2211yescharacteristic
52C2×C4×D236C2211yescharacteristic, complemented
53C2×#14273689C2211yescharacteristic
54C2×#14273689C2211yescharacteristic, complemented
55C2×(C22⋊D59)⋊C4C2211yescharacteristic
56C2×(C22⋊D59)⋊C4C2211yescharacteristic
57C2×#14273684C2211yescharacteristic, complemented
58C22×(C2×D59)⋊C4C2211yescharacteristic
59C2×C22⋊C4×D59C2211yescharacteristic
60C2×C22⋊C4×D59C2211yescharacteristic
61C2×C42×D59C2211yescharacteristic, complemented
62#16837341C2211yescharacteristic, complemented
63#16837340C2211yescharacteristic, complemented
64#16837338C2211yescharacteristic
65#16837337C2211yescharacteristic
66#16837337C2211yescharacteristic
67#16837337C2211yescharacteristic
68#16837336C2211yescharacteristic, complemented
69#16837334C2211yescharacteristic, complemented
70#16837331C2211yescharacteristic, complemented
71#16837331C2211yescharacteristic, complemented
72#16837331C2211yescharacteristic, complemented
73#16837328C2211yescharacteristic, complemented
74#16837326C2211yescharacteristic, complemented
75#16837324C2211yescharacteristic, complemented
76#16837320C2211yescharacteristic
77#16837319C2211yescharacteristic
78#16837318C2211yescharacteristic, complemented
79#16837317C2211yescharacteristic, complemented
80#16837315C2211yescharacteristic
81#16837314C2211yescharacteristic
82#16837312C2211yescharacteristic
83#16837312C2211yescharacteristic
84#16837311C2211yescharacteristic
85#16837311C2211yescharacteristic
86#16837311C2211yescharacteristic
87#16837311C2211yescharacteristic
88#16837311C2211yescharacteristic
89#16837311C2211yescharacteristic
90#16837311C2211yescharacteristic, complemented
91#16837311C2211yescharacteristic, complemented
92#16837310C2211yescharacteristic
93#16837310C2211yescharacteristic
94#16837308C2211yescharacteristic, complemented
95#16837306C2211yescharacteristic, complemented
96#16837306C2211yescharacteristic, complemented
97#16837304C2211yescharacteristic
98#16837304C2211yescharacteristic
99#16837304C2211yescharacteristic
100#16837304C2211yescharacteristic, complemented
101#16837303C2211yescharacteristic
102#16837303C2211yescharacteristic
103#16837303C2211yescharacteristic, complemented
104#16837302C2211yescharacteristic
105#16837302C2211yescharacteristic
106#16837302C2211yescharacteristic
107#16837302C2211yescharacteristic
108#16837302C2211yescharacteristic
109#16837301C2211yescharacteristic, complemented
110#16837297C2211yescharacteristic, complemented
111#16837296C2211yescharacteristic, complemented
112#16837295C2211yescharacteristic
113#16837295C2211yescharacteristic, complemented
114#16837294C2211yescharacteristic
115#16837294C2211yescharacteristic
116#16837294C2211yescharacteristic, complemented
117#16837293C2211yescharacteristic
118#16837293C2211yescharacteristic
119#16837293C2211yescharacteristic
120#16837293C2211yescharacteristic, complemented
121#16837293C2211yescharacteristic, complemented
122#16837293C2211yescharacteristic, complemented
123#16837292C2211yescharacteristic, complemented
124#16837291C2211yescharacteristic, complemented
125#16837289C2211yescharacteristic, complemented
126#16837286C2211yescharacteristic, complemented
127#16837286C2211yescharacteristic, complemented
128#16837286C2211yescharacteristic, complemented
129#16837285C2211yescharacteristic, complemented
130#16837285C2211yescharacteristic, complemented
131#16837281C2211yescharacteristic
132#16837281C2211yescharacteristic
133#16837281C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic
137#16837280C2211yescharacteristic
138#16837280C2211yescharacteristic
139#16837280C2211yescharacteristic
140#16837280C2211yescharacteristic
141#16837280C2211yescharacteristic
142#16837280C2211yescharacteristic
143#16837280C2211yescharacteristic, complemented
144#16837280C2211yescharacteristic, complemented
145#16837280C2211yescharacteristic, complemented
146#16837280C2211yescharacteristic, complemented
147#16837278C2211yescharacteristic
148#16837278C2211yescharacteristic
149#16837278C2211yescharacteristic
150#16837278C2211yescharacteristic, complemented
151#16837278C2211yescharacteristic, complemented
152#16837277C2211yescharacteristic
153#16837277C2211yescharacteristic
154#16837276C2211yescharacteristic
155#16837276C2211yescharacteristic
156#16837276C2211yescharacteristic
157#16837273C2211yescharacteristic
158#16837264C2211yescharacteristic
159#16837261C2211yescharacteristic, complemented
160#16837259C2211yescharacteristic, complemented
161C4×C4⋊Dic59C2211yescharacteristic, complemented
162#16837253C2211yescharacteristic, complemented
163C22⋊C4×Dic59C2211yescharacteristic
164C4×(C2×D59)⋊C4C2211yescharacteristic
165C4×(C2×D59)⋊C4C2211yescharacteristic
166C4×(C2×D59)⋊C4C2211yescharacteristic
167C4×(C2×D59)⋊C4C2211yescharacteristic
168C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
169C4×C22⋊Dic59C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic
171#16837249C2211yescharacteristic, complemented
172C2×#123×C59C2211yescharacteristic
173C59×#390C2211yescharacteristic
174C59×#388C2211yescharacteristic
175C59×#388C2211yescharacteristic
176C59×#388C2211yescharacteristic, complemented
177C59×#388C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#387C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic
181C4×C4⋊C4×C59C2211yescharacteristic, complemented
182C4×C4⋊C4×C59C2211yescharacteristic, complemented
183C4×C22⋊C4×C59C2211yescharacteristic
184C4×C22⋊C4×C59C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C2×#11745685—24no—
189C2×#11745685—42no—
190C2×#11745685—42no—
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219#14273724—24no—
220#14273715—42no—
221#14273712—42no—
222#14273710—42no—
223#14273709—24no—
224#14273709—42no—
225#14273709—42no—
226#14273702—24no—
227#14273701—42no—
228#14273700—24no—
229#14273700—42no—
230#14273699—42no—
231#14273697—24no—
232#14273697—24no—
233#14273697—24no—
234#14273695—42no—
235C4×D236—42no—
236C4×D236—42no—
237C4×D236—42no—
238C4×D236—42no—
239#14273689—42no—
240#14273689—42no—
241(C22⋊D59)⋊C4—42no—
242(C22⋊D59)⋊C4—42no—
243#14273684—42no—
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×(C2×D59)⋊C4—42no—
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
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
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C22⋊C4×D59—42no—
306C22⋊C4×D59—42no—
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C42×D59—42no—
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
338C59⋊#95C2311yescharacteristic
339C22×D4×C59C2311yescharacteristic
340C23×C4×C59C2311yescharacteristic
341C23×C4×C59C2311yescharacteristic
342#123×C59—24no—
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊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×C42×C59C2311yescharacteristic
359C2×C42×C59C2311yescharacteristic
360C2×C42×C59C2311yescharacteristic
361C2×C42×C59C2311yescharacteristic
362C2×C42×C59C2311yescharacteristic
363C2×C42×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×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
377C23×D59—22no—
378C23×D59—22no—
379C23×D59—22no—
380C23×D59—41no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59C2411yescharacteristic
385C23×D59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C2×D4×C59—22no—
390C2×D4×C59—41no—
391C2×D4×C59—41no—
392C22×C4×C59—22no—
393C22×C4×C59—22no—
394C22×C4×C59—22no—
395C22×C4×C59—41no—
396C22×C4×C59—41no—
397C22×C4×C59—41no—
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C2×C22⋊D59—22no—
415C2×C22⋊D59—22no—
416C2×C22⋊D59—22no—
417C2×C22⋊D59—22no—
418C2×C22⋊D59—22no—
419C2×C22⋊D59—22no—
420C2×C22⋊D59—41no—
421C2×C22⋊D59—41no—
422C2×C22⋊D59—41no—
423C2×C22⋊D59—41no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C2×C22⋊D59—41no—
427C2×C22⋊D59—41no—
428C2×C22⋊D59—41no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C22×Dic59—22no—
436C22×Dic59—41no—
437C22×Dic59—41no—
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449#11745685—416no—
450C2×D236—22no—
451C2×D236—22no—
452C2×D236—22no—
453C2×D236—22no—
454C2×D236—22no—
455C2×D236—22no—
456C2×D236—22no—
457C2×D236—22no—
458C2×D236—22no—
459C2×D236—22no—
460C2×D236—22no—
461C2×D236—22no—
462C2×D236—22no—
463C2×D236—22no—
464C2×D236—41no—
465C2×D236—41no—
466C2×D236—41no—
467C2×D236—41no—
468C2×D236—41no—
469C2×D236—41no—
470C2×D236—41no—
471C2×D236—41no—
472C2×D236—41no—
473C2×D236—41no—
474C2×D236—41no—
475C2×D236—41no—
476C2×D236#4114yes—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—22no—
480C2×C4×D59—22no—
481C2×C4×D59—22no—
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—22no—
485C2×C4×D59—22no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59—22no—
489C2×C4×D59—22no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×C4×D59—41no—
493C2×C4×D59—41no—
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—22no—
511C4⋊C4×C59—41no—
512C22⋊C4×C59—22no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—22no—
515C22⋊C4×C59—22no—
516C22⋊C4×C59—22no—
517C22⋊C4×C59—22no—
518C22⋊C4×C59—22no—
519C22⋊C4×C59—22no—
520C22⋊C4×C59—41no—
521C22⋊C4×C59#4114yescomplemented
522C42×C59—22no—
523C42×C59—22no—
524C42×C59—41no—
525C42×C59—41no—
526C42×C59—41no—
527C42×C59—41no—
528C42×C59—41no—
529C22⋊Dic59—22no—
530C22⋊Dic59—22no—
531C22⋊Dic59—22no—
532C22⋊Dic59—41no—
533C22⋊Dic59—41no—
534C22⋊Dic59—41no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—22no—
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—41no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4—41no—
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—41no—
566(C2×D59)⋊C4—41no—
567(C2×D59)⋊C4—41no—
568(C2×D59)⋊C4—41no—
569(C2×D59)⋊C4—41no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4—41no—
572(C2×D59)⋊C4#4114yescomplemented
573C4⋊Dic59—22no—
574C4⋊Dic59—22no—
575C4⋊Dic59—22no—
576C4⋊Dic59—41no—
577C4⋊Dic59—41no—
578C4⋊Dic59—41no—
579Dic59⋊C4—22no—
580Dic59⋊C4—22no—
581Dic59⋊C4—22no—
582Dic59⋊C4—22no—
583Dic59⋊C4—22no—
584Dic59⋊C4—41no—
585Dic59⋊C4—41no—
586Dic59⋊C4—41no—
587Dic59⋊C4—41no—
588Dic59⋊C4—41no—
589C4×Dic59—22no—
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×C59C2×#4112yes—
610C23×C59C2511yescharacteristic
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
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—44no—
644C22×D59—44no—
645C22×D59—44no—
646C22×D59—82no—
647C22×D59—82no—
648C22×D59—82no—
649C22×D59—82no—
650C22×D59C2×#4112yes—
651C22×D59C2×#4112yes—
652C22×D59C2×#4112yes—
653D4×C59—82no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
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—44no—
688C2×C4×C59—82no—
689C2×C4×C59C2×#4112yes—
690C2×C4×C59C2×#4112yes—
691C2×C4×C59C2×#4112yes—
692C2×C4×C59C2×#4112yes—
693C2×C4×C59H(5,𝔽2)12yes—
694C2×C4×C59H(5,𝔽2)12yes—
695C22⋊D59—44no—
696C22⋊D59—44no—
697C22⋊D59—44no—
698C22⋊D59—44no—
699C22⋊D59—82no—
700C22⋊D59—82no—
701C22⋊D59—82no—
702C22⋊D59—82no—
703C2×Dic59—21no—
704C2×Dic59—21no—
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—82no—
734C2×Dic59C2×#4112yes—
735C2×Dic59H(5,𝔽2)12yes—
736C2×Dic59H(5,𝔽2)12yes—
737D236—44no—
738D236—44no—
739D236—44no—
740D236—44no—
741D236—44no—
742D236—44no—
743D236—44no—
744D236—82no—
745D236—82no—
746C4×D59—28no—
747C4×D59—44no—
748C4×D59—44no—
749C4×D59—44no—
750C4×D59—82no—
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—41no—
761C22×C59—41no—
762C22×C59—41no—
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×C59C22×#4111yescharacteristic
772C22×C59C22×#4111yescharacteristic
773C22×C59C22×#4111yescharacteristic
774C22×C59C2×H(5,𝔽2)11yescharacteristic
775C22×C59C2×H(5,𝔽2)11yescharacteristic
776C22×C59C2×H(5,𝔽2)11yescharacteristic
777C22×C59C2×H(5,𝔽2)11yescharacteristic
778C2×D59—22no—
779C2×D59—22no—
780C2×D59—22no—
781C2×D59—22no—
782C2×D59—22no—
783C2×D59—22no—
784C2×D59—22no—
785C2×D59—22no—
786C2×D59—22no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C2×D59—41no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—41no—
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—22no—
818C4×C59—22no—
819C4×C59—22no—
820C4×C59—41no—
821C4×C59—41no—
822C4×C59—41no—
823C4×C59—41no—
824C4×C59—41no—
825C4×C59—41no—
826C4×C59—41no—
827Dic59—22no—
828Dic59—22no—
829Dic59—22no—
830Dic59—41no—
831Dic59—41no—
832Dic59—41no—
833Dic59—41no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838#2748—591no—
839#2703—591no—
840#2703—591no—
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#2374D5911yescharacteristic, complemented
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—81no—
871C2×C59#348111yescharacteristic
872C2×C59#348111yescharacteristic
873C2×C59#348111yescharacteristic
874C2×C59#349011yescharacteristic
875C2×C59#350811yescharacteristic
876C2×C59#350811yescharacteristic
877C2×C59#353711yescharacteristic
878D59—42no—
879D59—42no—
880D59—42no—
881D59—81no—
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×#121—591no—
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#400—591no—
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#397—591no—
926#396—591no—
927#396—591no—
928#394—591no—
929#394—591no—
930#394—591no—
931#394—591no—
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#392—591no—
944#392—591no—
945#392—591no—
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
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#388C2×D5911yescharacteristic
979#388C2×D5911yescharacteristic
980#388C2×D5911yescharacteristic, complemented
981#388C2×D5911yescharacteristic, complemented
982#387—591no—
983#387—591no—
984#387—591no—
985#387—591no—
986#387—591no—
987#387—591no—
988#387C2×D5911yescharacteristic, complemented
989#387C2×D5911yescharacteristic, complemented
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#386—591no—
1010#386—591no—
1011#386C2×D5911yescharacteristic
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#380—591no—
1021C4×C4⋊C4—591no—
1022C4×C4⋊C4—591no—
1023C4×C4⋊C4C2×D5911yescharacteristic, complemented
1024C4×C4⋊C4C2×D5911yescharacteristic, complemented
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⋊C4C2×D5911yescharacteristic
1035C4×C22⋊C4C2×D5911yescharacteristic
1036C4×C22⋊C4C2×D5911yescharacteristic, complemented
1037C4×C22⋊C4C2×D5911yescharacteristic, complemented
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×D4—591no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4—591no—
1060C22×D4—591no—
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—1184no—
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⋊C4C22×D5911yescharacteristic
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—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—2362no—
1166C2×C22⋊C4—2362no—
1167C2×C22⋊C4—2362no—
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—2362no—
1186C2×C42C22×D5911yescharacteristic
1187C2×C42C22×D5911yescharacteristic
1188C2×C42C22×D5911yescharacteristic
1189C2×C42C22×D5911yescharacteristic
1190C2×C42C22×D5911yescharacteristic
1191C2×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
1218#95C22×D5911yescharacteristic
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—591no—
1231C24—591no—
1232C24—1182no—
1233C24—1182no—
1234C24—1182no—
1235C24—2361no—
1236C24—2361no—
1237C24—2361no—
1238C24—2361no—
1239C24C23×D5911yescharacteristic
1240C24C23×D5911yescharacteristic
1241#41—23616no—
1242C2×Q8—1182no—
1243C2×Q8—1182no—
1244C2×Q8—2361no—
1245C2×D4—22no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—594no—
1249C2×D4—1182no—
1250C2×D4—1182no—
1251C2×D4—1182no—
1252C2×D4—1182no—
1253C2×D4—1182no—
1254C2×D4—1182no—
1255C2×D4—1182no—
1256C2×D4—1182no—
1257C2×D4—1182no—
1258C2×D4—1182no—
1259C2×D4—1182no—
1260C2×D4—1182no—
1261C2×D4—1182no—
1262C2×D4—1182no—
1263C2×D4—1182no—
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—2361no—
1273C2×D4—2361no—
1274C2×D4—2361no—
1275C2×D4—2361no—
1276C2×D4—2361no—
1277C2×D4—2361no—
1278C2×D4—2361no—
1279C2×D4—2361no—
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—1182no—
1317C22×C4—1182no—
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—2361no—
1331C22×C4—2361no—
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×C4C23×D5911yescharacteristic
1347C22×C4C23×D5911yescharacteristic
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—22no—
1363C4⋊C4—41no—
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—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—41no—
1389C22⋊C4—594no—
1390C22⋊C4—1182no—
1391C22⋊C4—1182no—
1392C22⋊C4—1182no—
1393C22⋊C4—1182no—
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—2361no—
1412C22⋊C4—2361no—
1413C22⋊C4—2361no—
1414C22⋊C4—2361no—
1415C22⋊C4—2361no—
1416C22⋊C4—2361no—
1417C22⋊C4—2361no—
1418C22⋊C4—2361no—
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#1174568514yescomplemented
1434C42—22no—
1435C42—22no—
1436C42—41no—
1437C42—41no—
1438C42—41no—
1439C42—41no—
1440C42—41no—
1441C42—1182no—
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—592no—
1462C23—592no—
1463C23—592no—
1464C23—1181no—
1465C23—1181no—
1466C23—1181no—
1467C23—1181no—
1468C23—1181no—
1469C23—1181no—
1470C23—1181no—
1471C23—1181no—
1472C23—1181no—
1473C23—1181no—
1474C23—1181no—
1475C23—1181no—
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—1181no—
1496C23—4722no—
1497C23—4722no—
1498C23—4722no—
1499C23—4722no—
1500C23—2364no—
1501C23—2364no—
1502C23—2364no—
1503C23C2×#1174568512yes—
1504C23C24×D5911yescharacteristic
1505Q8—2364no—
1506D4—82no—
1507D4—4722no—
1508D4—4722no—
1509D4—4722no—
1510D4—4722no—
1511D4—4722no—
1512D4—4722no—
1513D4—2364no—
1514D4—2364no—
1515D4—2364no—
1516D4—2364no—
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—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—44no—
1558C2×C4—82no—
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—4722no—
1594C2×C4—4722no—
1595C2×C4—4722no—
1596C2×C4—4722no—
1597C2×C4—4722no—
1598C2×C4—4722no—
1599C2×C4—2364no—
1600C2×C4—2364no—
1601C2×C4—2364no—
1602C2×C4#41×D5912yes—
1603C2×C4#41×D5912yes—
1604C2×C4C2×#1174568512yes—
1605C2×C4C2×#1174568512yes—
1606C2×C4#1427377312yes—
1607C2×C4#1427377312yes—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—1182no—
1623C22—1182no—
1624C22—1182no—
1625C22—1182no—
1626C22—1182no—
1627C22—1182no—
1628C22—1182no—
1629C22—1182no—
1630C22—1182no—
1631C22—4728no—
1632C22—2361no—
1633C22—2361no—
1634C22—2361no—
1635C22—2361no—
1636C22—2361no—
1637C22—2361no—
1638C22—2361no—
1639C22—2361no—
1640C22—2361no—
1641C22—2361no—
1642C22—2361no—
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×#1174568511yescharacteristic
1661C22H(5,𝔽2)×D5911yescharacteristic
1662C22H(5,𝔽2)×D5911yescharacteristic
1663C22C2×#1427377311yescharacteristic
1664C22C2×#1427377311yescharacteristic
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—22no—
1669C4—22no—
1670C4—22no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—1182no—
1679C4—1182no—
1680C4—1182no—
1681C4—2361no—
1682C4—2361no—
1683C4—2361no—
1684C4—2361no—
1685C4—2361no—
1686C4—2361no—
1687C4—2361no—
1688C4—2361no—
1689C2—42no—
1690C2—81no—
1691C2—4721no—
1692C2—4721no—
1693C2—2362no—
1694C2—2362no—
1695C2—2362no—
1696C2#2143770311yescharacteristic
1697C2#2143770611yescharacteristic
1698C2#2143770611yescharacteristic
1699C2#2143778011yescharacteristic
1700C2#2143796711yescharacteristic
1701C2#2143796911yescharacteristic
1702C2#2143833211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2374C2
hypercenter#2374D59
hypocenterC59#60034
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2374

Complements

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

NH ≅ G/Ntype
1. #21431304C2semidirect
2. #21430734C2semidirect
3. #21430733C2semidirect
4. #21430311C2semidirect
5. #21429715C2semidirect
6. #21429714C2semidirect
7. #21429547C2semidirect
8. #21429543C2semidirect
9. #21429201C2semidirect
10. #21429195C2semidirect
11. #21429026C2semidirect
12. #21429025C2semidirect
13. #21428736C2semidirect
14. #21428724C2semidirect
15. #21428214C2semidirect
16. #21428207C2semidirect
17. #21428106C2semidirect
18. #21428102C2semidirect
19. #21427994C2semidirect
20. #21427987C2semidirect
21. #21427715C2semidirect
22. #21427413C2semidirect
23. #21427230C2semidirect
24. #21427160C2semidirect
25. #21427078C2semidirect
26. #21427078C2semidirect
27. #21427074C2semidirect
28. C4×#14273702C2semidirect
29. #21426608C2semidirect
30. #21426582C2semidirect
31. C59×#2374C2semidirect
34. C2×#14273715C22semidirect
38. C2×#14273709C22semidirect
39. C2×#14273709C22semidirect
41. C2×#14273701C22semidirect
52. C2×C4×D236C22semidirect
54. C2×#14273689C22semidirect
57. C2×#14273684C22semidirect
61. C2×C42×D59C22semidirect
62. #16837341C22semidirect
63. #16837340C22semidirect
68. #16837336C22semidirect
69. #16837334C22semidirect
70. #16837331C22semidirect
71. #16837331C22semidirect
72. #16837331C22semidirect
73. #16837328C22semidirect
74. #16837326C22semidirect
75. #16837324C22semidirect
78. #16837318C22semidirect
79. #16837317C22semidirect
90. #16837311C22semidirect
91. #16837311C22semidirect
94. #16837308C22semidirect
95. #16837306C22semidirect
96. #16837306C22semidirect
100. #16837304C22semidirect
103. #16837303C22semidirect
109. #16837301C22semidirect
110. #16837297C22semidirect
111. #16837296C22semidirect
113. #16837295C22semidirect
116. #16837294C22semidirect
120. #16837293C22semidirect
121. #16837293C22semidirect
122. #16837293C22semidirect
123. #16837292C22semidirect
124. #16837291C22semidirect
125. #16837289C22semidirect
126. #16837286C22semidirect
127. #16837286C22semidirect
128. #16837286C22semidirect
129. #16837285C22semidirect
130. #16837285C22semidirect
143. #16837280C22semidirect
144. #16837280C22semidirect
145. #16837280C22semidirect
146. #16837280C22semidirect
150. #16837278C22semidirect
151. #16837278C22semidirect
159. #16837261C22semidirect
160. #16837259C22semidirect
161. C4×C4⋊Dic59C22semidirect
162. #16837253C22semidirect
168. C4×(C2×D59)⋊C4C22semidirect
169. C4×C22⋊Dic59C22semidirect
171. #16837249C22semidirect
176. C59×#388C22semidirect
177. C59×#388C22semidirect
178. C59×#387C22semidirect
179. C59×#387C22semidirect
181. C4×C4⋊C4×C59C22semidirect
182. C4×C4⋊C4×C59C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
521. C22⋊C4×C59#41semidirect
572. (C2×D59)⋊C4#41semidirect
861. #2374D59semidirect
980. #388C2×D59semidirect
981. #388C2×D59semidirect
988. #387C2×D59semidirect
989. #387C2×D59semidirect
1023. C4×C4⋊C4C2×D59semidirect
1024. C4×C4⋊C4C2×D59semidirect
1036. C4×C22⋊C4C2×D59semidirect
1037. C4×C22⋊C4C2×D59semidirect
1038. C59#60034semidirect
1433. C22⋊C4#11745685semidirect

Maximal subgroups

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

subgroupindex
#214313042
#214307342
#214307332
#214303112
#214297152
#214297142
#214295472
#214295432
#214292012
#214291952
#214290262
#214290252
#214287362
#214287242
#214282142
#214282072
#214281062
#214281022
#214279942
#214279872
#214277152
#214274132
#214272302
#214271602
#214270782
#214270742
C4×#142737022
#214266082
#214265822
C59×#23742
#6003459