Finite Group Databasebeta

← #28795862

Subgroups — #28795862

Order 15104.

2034 conjugacy classes of subgroups.

The subgroup lattice has 1574 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432380C211yesmaximal, characteristic, complemented
2#21432377C211yesmaximal, characteristic
3#21431296C211yesmaximal, characteristic, complemented
4#21431292C211yesmaximal, characteristic, complemented
5#21431224C211yesmaximal, characteristic, complemented
6#21431223C211yesmaximal, characteristic, complemented
7#21431217C211yesmaximal, characteristic, complemented
8#21431209C211yesmaximal, characteristic, complemented
9#21430934C211yesmaximal, characteristic, complemented
10#21430932C211yesmaximal, characteristic, complemented
11#21430720C211yesmaximal, characteristic, complemented
12#21430591C211yesmaximal, characteristic, complemented
13#21430587C211yesmaximal, characteristic, complemented
14#21430583C211yesmaximal, characteristic, complemented
15#21430571C211yesmaximal, characteristic, complemented
16#21430349C211yesmaximal, characteristic, complemented
17#21430340C211yesmaximal, characteristic, complemented
18#21430211C211yesmaximal, characteristic, complemented
19#21430025C211yesmaximal, characteristic, complemented
20#21428353C211yesmaximal, characteristic, complemented
21#21428350C211yesmaximal, characteristic, complemented
22#21428220C211yesmaximal, characteristic, complemented
23#21428217C211yesmaximal, characteristic, complemented
24#21427912C211yesmaximal, characteristic, complemented
25#21427906C211yesmaximal, characteristic, complemented
26#21427563C211yesmaximal, characteristic, complemented
27#21427551C211yesmaximal, characteristic, complemented
28#21426828C211yesmaximal, characteristic, complemented
29#21426800C211yesmaximal, characteristic, complemented
30#380×D59C211yesmaximal, characteristic, complemented
31C59×#2702C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33C2×#14273722C2211yescharacteristic, complemented
34C2×#14273714C2211yescharacteristic
35C2×#14273713C2211yescharacteristic
36C2×#14273709C2211yescharacteristic
37C2×#14273708C2211yescharacteristic
38C2×#14273707C2211yescharacteristic
39C2×#14273705C2211yescharacteristic
40C2×#14273705C2211yescharacteristic, complemented
41C2×#14273704C2211yescharacteristic, complemented
42C2×#14273703C2211yescharacteristic
43C2×#14273703C2211yescharacteristic
44C2×#14273700C2211yescharacteristic
45C2×#14273700C2211yescharacteristic
46C2×#14273699C2211yescharacteristic
47C2×#14273697C2211yescharacteristic
48C2×#14273695C2211yescharacteristic
49C2×C4×D236C2211yescharacteristic
50C2×(C22⋊D59)⋊C4C2211yescharacteristic
51C2×C4⋊C4×D59C2211yescharacteristic
52C2×C4⋊C4×D59C2211yescharacteristic
53C2×C22⋊C4×D59C2211yescharacteristic
54C2×C22⋊C4×D59C2211yescharacteristic
55#16837343C2211yescharacteristic, complemented
56#16837343C2211yescharacteristic, complemented
57#16837343C2211yescharacteristic, complemented
58#16837341C2211yescharacteristic, complemented
59#16837340C2211yescharacteristic, complemented
60#16837339C2211yescharacteristic
61#16837338C2211yescharacteristic, complemented
62#16837337C2211yescharacteristic
63#16837337C2211yescharacteristic, complemented
64#16837336C2211yescharacteristic, complemented
65#16837336C2211yescharacteristic, complemented
66#16837335C2211yescharacteristic, complemented
67#16837335C2211yescharacteristic, complemented
68#16837333C2211yescharacteristic, complemented
69#16837330C2211yescharacteristic
70#16837330C2211yescharacteristic
71#16837329C2211yescharacteristic, complemented
72#16837328C2211yescharacteristic, complemented
73#16837327C2211yescharacteristic
74#16837327C2211yescharacteristic
75#16837327C2211yescharacteristic, complemented
76#16837327C2211yescharacteristic, complemented
77#16837326C2211yescharacteristic, complemented
78#16837325C2211yescharacteristic, complemented
79#16837324C2211yescharacteristic, complemented
80#16837323C2211yescharacteristic, complemented
81#16837323C2211yescharacteristic, complemented
82#16837323C2211yescharacteristic, complemented
83#16837323C2211yescharacteristic, complemented
84#16837322C2211yescharacteristic, complemented
85#16837322C2211yescharacteristic, complemented
86#16837319C2211yescharacteristic
87#16837319C2211yescharacteristic
88#16837318C2211yescharacteristic
89#16837318C2211yescharacteristic
90#16837317C2211yescharacteristic
91#16837317C2211yescharacteristic
92#16837317C2211yescharacteristic, complemented
93#16837317C2211yescharacteristic, complemented
94#16837315C2211yescharacteristic
95#16837315C2211yescharacteristic
96#16837313C2211yescharacteristic, complemented
97#16837309C2211yescharacteristic, complemented
98#16837304C2211yescharacteristic
99#16837302C2211yescharacteristic
100#16837301C2211yescharacteristic, complemented
101#16837299C2211yescharacteristic, complemented
102#16837297C2211yescharacteristic, complemented
103#16837296C2211yescharacteristic
104#16837296C2211yescharacteristic, complemented
105#16837294C2211yescharacteristic
106#16837293C2211yescharacteristic
107#16837292C2211yescharacteristic
108#16837292C2211yescharacteristic, complemented
109#16837291C2211yescharacteristic
110#16837291C2211yescharacteristic, complemented
111#16837290C2211yescharacteristic
112#16837289C2211yescharacteristic, complemented
113#16837288C2211yescharacteristic, complemented
114#16837287C2211yescharacteristic, complemented
115#16837287C2211yescharacteristic, complemented
116#16837286C2211yescharacteristic, complemented
117#16837286C2211yescharacteristic, complemented
118#16837286C2211yescharacteristic, complemented
119#16837286C2211yescharacteristic, complemented
120#16837285C2211yescharacteristic, complemented
121#16837284C2211yescharacteristic, complemented
122#16837284C2211yescharacteristic, complemented
123#16837283C2211yescharacteristic, complemented
124#16837281C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837280C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837279C2211yescharacteristic
132#16837279C2211yescharacteristic, complemented
133#16837278C2211yescharacteristic
134#16837278C2211yescharacteristic
135#16837278C2211yescharacteristic
136#16837278C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic, complemented
139#16837277C2211yescharacteristic, complemented
140#16837277C2211yescharacteristic, complemented
141#16837276C2211yescharacteristic
142#16837276C2211yescharacteristic, complemented
143#16837274C2211yescharacteristic
144#16837274C2211yescharacteristic
145#16837273C2211yescharacteristic
146#16837273C2211yescharacteristic
147#16837273C2211yescharacteristic
148#16837273C2211yescharacteristic
149#16837273C2211yescharacteristic
150#16837273C2211yescharacteristic, complemented
151#16837262C2211yescharacteristic
152#16837262C2211yescharacteristic
153#16837261C2211yescharacteristic
154#16837261C2211yescharacteristic
155#16837261C2211yescharacteristic
156#16837261C2211yescharacteristic
157#16837261C2211yescharacteristic
158#16837260C2211yescharacteristic
159#16837260C2211yescharacteristic
160#16837260C2211yescharacteristic
161#16837259C2211yescharacteristic
162#16837259C2211yescharacteristic
163#16837259C2211yescharacteristic
164#16837259C2211yescharacteristic
165#16837259C2211yescharacteristic
166#16837257C2211yescharacteristic
167#16837257C2211yescharacteristic
168C4×(C2×D59)⋊C4C2211yescharacteristic
169#16837249C2211yescharacteristic
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172C2×#126×C59C2211yescharacteristic, complemented
173C2×C22⋊Q8×C59C2211yescharacteristic
174C59×#400C2211yescharacteristic, complemented
175C59×#398C2211yescharacteristic, complemented
176C59×#396C2211yescharacteristic, complemented
177C59×#394C2211yescharacteristic
178C59×#394C2211yescharacteristic
179C59×#393C2211yescharacteristic, complemented
180C59×#391C2211yescharacteristic, complemented
181C59×#389C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic
183C59×#388C2211yescharacteristic
184C59×#388C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic
186C59×#380C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×Dic118C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C22×C4×D59—24no—
199C22×C4×D59—42no—
200C22×C4×D59—42no—
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210#14273722—42no—
211#14273714—42no—
212#14273713—42no—
213#14273709—42no—
214#14273708—42no—
215#14273707—42no—
216#14273705—42no—
217#14273705—42no—
218#14273704—42no—
219#14273703—24no—
220#14273703—42no—
221#14273700—24no—
222#14273700—42no—
223#14273699—42no—
224#14273697—42no—
225#14273695—42no—
226C4×D236—42no—
227(C22⋊D59)⋊C4—42no—
228C2×C4⋊Dic59C2311yescharacteristic
229C2×C4⋊Dic59C2311yescharacteristic
230C2×C4⋊Dic59C2311yescharacteristic
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
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
255C4⋊C4×D59—42no—
256C4⋊C4×D59—42no—
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×(C2×D59)⋊C4C2311yescharacteristic
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
292C22⋊C4×D59—42no—
293C22⋊C4×D59—42no—
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
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
332C22×Q8×C59C2311yescharacteristic
333C22×D4×C59C2311yescharacteristic
334C23×C4×C59C2311yescharacteristic
335#126×C59—42no—
336C22⋊Q8×C59—42no—
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊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×C42×C59C2311yescharacteristic
358C2×C42×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59C2411yescharacteristic
370C24×C59C2411yescharacteristic
371C23×D59—22no—
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—22no—
375C23×D59—22no—
376C23×D59—41no—
377C23×D59—41no—
378C23×D59C2411yescharacteristic
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C2×Q8×C59—22no—
382C2×Q8×C59—41no—
383C2×Q8×C59—41no—
384C2×D4×C59—22no—
385C2×D4×C59—41no—
386C2×D4×C59—41no—
387C22×C4×C59—22no—
388C22×C4×C59—22no—
389C22×C4×C59—41no—
390C22×C4×C59C2411yescharacteristic
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C2×C22⋊D59—22no—
404C2×C22⋊D59—22no—
405C2×C22⋊D59—22no—
406C2×C22⋊D59—22no—
407C2×C22⋊D59—22no—
408C2×C22⋊D59—22no—
409C2×C22⋊D59—41no—
410C2×C22⋊D59—41no—
411C2×C22⋊D59—41no—
412C2×C22⋊D59—41no—
413C2×C22⋊D59—41no—
414C2×C22⋊D59—41no—
415C22×Dic59—22no—
416C22×Dic59—22no—
417C22×Dic59—41no—
418C22×Dic59—41no—
419C22×Dic59—41no—
420C22×Dic59—41no—
421C22×Dic59C2411yescharacteristic
422C22×Dic59C2411yescharacteristic
423C22×Dic59C2411yescharacteristic
424C22×Dic59C2411yescharacteristic
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429C22×Dic59C2411yescharacteristic
430C22×Dic59C2411yescharacteristic
431C22×Dic59C2411yescharacteristic
432C22×Dic59C2411yescharacteristic
433C22×Dic59C2411yescharacteristic
434C2×D236—22no—
435C2×D236—22no—
436C2×D236—22no—
437C2×D236—22no—
438C2×D236—41no—
439C2×D236—41no—
440C2×C4×D59—22no—
441C2×C4×D59—22no—
442C2×C4×D59—22no—
443C2×C4×D59—22no—
444C2×C4×D59—22no—
445C2×C4×D59—22no—
446C2×C4×D59—22no—
447C2×C4×D59—22no—
448C2×C4×D59—22no—
449C2×C4×D59—22no—
450C2×C4×D59—22no—
451C2×C4×D59—416no—
452C2×C4×D59—41no—
453C2×C4×D59—41no—
454C2×C4×D59—41no—
455C2×C4×D59—41no—
456C2×C4×D59—41no—
457C2×C4×D59—41no—
458C2×C4×D59—41no—
459C2×C4×D59—41no—
460C2×C4×D59—41no—
461C2×C4×D59—41no—
462C2×C4×D59—41no—
463C2×C4×D59—41no—
464C2×C4×D59—41no—
465C2×C4×D59—41no—
466C2×C4×D59—41no—
467C2×C4×D59#4114yes—
468C2×Dic118—41no—
469C2×Dic118—41no—
470C2×Dic118—41no—
471C2×Dic118—41no—
472C2×Dic118—41no—
473C2×Dic118—41no—
474C4⋊C4×C59—22no—
475C4⋊C4×C59—22no—
476C4⋊C4×C59—22no—
477C4⋊C4×C59—41no—
478C4⋊C4×C59—41no—
479C4⋊C4×C59—41no—
480C4⋊C4×C59—41no—
481C4⋊C4×C59—41no—
482C4⋊C4×C59—41no—
483C22⋊C4×C59—22no—
484C22⋊C4×C59—22no—
485C22⋊C4×C59—22no—
486C22⋊C4×C59—22no—
487C22⋊C4×C59—41no—
488C22⋊C4×C59—41no—
489C22⋊C4×C59—41no—
490C22⋊C4×C59—41no—
491C22⋊C4×C59—41no—
492C22⋊C4×C59—41no—
493C22⋊C4×C59—41no—
494C42×C59—41no—
495C42×C59—41no—
496C22⋊Dic59—22no—
497C22⋊Dic59—22no—
498C22⋊Dic59—22no—
499C22⋊Dic59—22no—
500C22⋊Dic59—22no—
501C22⋊Dic59—41no—
502C22⋊Dic59—41no—
503C22⋊Dic59—41no—
504C22⋊Dic59—41no—
505(C2×D59)⋊C4—22no—
506(C2×D59)⋊C4—22no—
507(C2×D59)⋊C4—22no—
508(C2×D59)⋊C4—22no—
509(C2×D59)⋊C4—22no—
510(C2×D59)⋊C4—22no—
511(C2×D59)⋊C4—22no—
512(C2×D59)⋊C4—22no—
513(C2×D59)⋊C4—22no—
514(C2×D59)⋊C4—22no—
515(C2×D59)⋊C4—22no—
516(C2×D59)⋊C4—41no—
517(C2×D59)⋊C4—41no—
518(C2×D59)⋊C4—41no—
519(C2×D59)⋊C4—41no—
520(C2×D59)⋊C4—41no—
521(C2×D59)⋊C4—41no—
522(C2×D59)⋊C4—41no—
523(C2×D59)⋊C4—41no—
524(C2×D59)⋊C4—41no—
525(C2×D59)⋊C4—41no—
526(C2×D59)⋊C4—41no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531C4⋊Dic59—22no—
532C4⋊Dic59—22no—
533C4⋊Dic59—41no—
534C4⋊Dic59—41no—
535C4⋊Dic59—41no—
536C4⋊Dic59—41no—
537C4⋊Dic59—41no—
538C4⋊Dic59—41no—
539C4⋊Dic59—41no—
540Dic59⋊C4—22no—
541Dic59⋊C4—22no—
542Dic59⋊C4—22no—
543Dic59⋊C4—22no—
544Dic59⋊C4—22no—
545Dic59⋊C4—22no—
546Dic59⋊C4—22no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549Dic59⋊C4—41no—
550Dic59⋊C4—41no—
551Dic59⋊C4—41no—
552Dic59⋊C4—41no—
553Dic59⋊C4—41no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558C4×Dic59—41no—
559C4×Dic59—41no—
560C4×Dic59—41no—
561C4×Dic59—41no—
562C23×C59—21no—
563C23×C59—21no—
564C23×C59—21no—
565C23×C59—21no—
566C23×C59—21no—
567C23×C59—21no—
568C23×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59H(5,𝔽2)12yes—
576C23×C59C2511yescharacteristic
577C22×D59—21no—
578C22×D59—21no—
579C22×D59—21no—
580C22×D59—21no—
581C22×D59—28no—
582C22×D59—21no—
583C22×D59—21no—
584C22×D59—21no—
585C22×D59—21no—
586C22×D59—21no—
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—44no—
596C22×D59—44no—
597C22×D59—44no—
598C22×D59—44no—
599C22×D59—44no—
600C22×D59—44no—
601C22×D59C2×#4112yes—
602C22×D59H(5,𝔽2)12yes—
603C22×D592−1+412yes—
604C22×D592−1+412yes—
605Q8×C59—82no—
606D4×C59—82no—
607C2×C4×C59—21no—
608C2×C4×C59—21no—
609C2×C4×C59—21no—
610C2×C4×C59—21no—
611C2×C4×C59—21no—
612C2×C4×C59—21no—
613C2×C4×C59—21no—
614C2×C4×C59—21no—
615C2×C4×C59—21no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—44no—
645C2×C4×C59C2×#4112yes—
646C2×C4×C59H(5,𝔽2)12yes—
647C22⋊D59—44no—
648C22⋊D59—82no—
649C22⋊D59—82no—
650C22⋊D59—82no—
651C2×Dic59—21no—
652C2×Dic59—21no—
653C2×Dic59—21no—
654C2×Dic59—21no—
655C2×Dic59—21no—
656C2×Dic59—21no—
657C2×Dic59—21no—
658C2×Dic59—21no—
659C2×Dic59—21no—
660C2×Dic59—21no—
661C2×Dic59—21no—
662C2×Dic59—21no—
663C2×Dic59—21no—
664C2×Dic59—21no—
665C2×Dic59—21no—
666C2×Dic59—21no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—44no—
689C2×Dic59—82no—
690C2×Dic59C2×#4112yes—
691C2×Dic59H(5,𝔽2)12yes—
692D236—44no—
693D236—82no—
694C4×D59—28no—
695C4×D59—44no—
696C4×D59—44no—
697C4×D59—44no—
698C4×D59—82no—
699C4×D59—82no—
700C4×D59—82no—
701C4×D59—82no—
702C4×D59—82no—
703Dic118—82no—
704Dic118—82no—
705#36729—591nomaximal, Sylow
706C22×C59—22no—
707C22×C59—22no—
708C22×C59—22no—
709C22×C59—41no—
710C22×C59—41no—
711C22×C59—41no—
712C22×C59—41no—
713C22×C59—41no—
714C22×C59—41no—
715C22×C59—41no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59—41no—
719C22×C59—41no—
720C22×C59C22×#4111yescharacteristic
721C22×C59C2×H(5,𝔽2)11yescharacteristic
722C22×C59C2×H(5,𝔽2)11yescharacteristic
723C22×C59C2×H(5,𝔽2)11yescharacteristic
724C22×C59C2×H(5,𝔽2)11yescharacteristic
725C22×C59C2×2−1+411yescharacteristic
726C22×C59C2×2−1+411yescharacteristic
727C2×D59—22no—
728C2×D59—22no—
729C2×D59—22no—
730C2×D59—22no—
731C2×D59—22no—
732C2×D59—22no—
733C2×D59—22no—
734C2×D59—22no—
735C2×D59—22no—
736C2×D59—416no—
737C2×D59—41no—
738C2×D59—41no—
739C2×D59—41no—
740C2×D59—41no—
741C2×D59—41no—
742C2×D59—41no—
743C2×D59—41no—
744C2×D59—41no—
745C2×D59—41no—
746C2×D59—41no—
747C2×D59—41no—
748C2×D59#54214yes—
749C4×C59—22no—
750C4×C59—22no—
751C4×C59—41no—
752C4×C59—41no—
753C4×C59—41no—
754C4×C59—41no—
755C4×C59—41no—
756C4×C59—41no—
757C4×C59—41no—
758C4×C59—41no—
759C4×C59—41no—
760C4×C59—41no—
761C4×C59—41no—
762Dic59—22no—
763Dic59—22no—
764Dic59—41no—
765Dic59—41no—
766Dic59—41no—
767Dic59—41no—
768Dic59—41no—
769Dic59—41no—
770Dic59—41no—
771Dic59—41no—
772Dic59—41no—
773Dic59—41no—
774Dic59—41no—
775#2848—591no—
776#2847—591no—
777#2747—591no—
778#2747—591no—
779#2742—591no—
780#2742—591no—
781#2741—591no—
782#2741—591no—
783#2717—591no—
784#2717—591no—
785#2702—591no—
786#2702D5911yescharacteristic, complemented
787#2692—591no—
788#2692—591no—
789#2691—591no—
790#2691—591no—
791#2672—591no—
792#2672—591no—
793#2659—591no—
794#2639—591no—
795#2481—591no—
796#2481—591no—
797#2472—591no—
798#2472—591no—
799#2449—591no—
800#2449—591no—
801#2418—591no—
802#2418—591no—
803#2329—591no—
804#2325—591no—
805C2×#380—591no—
806C2×C59—42no—
807C2×C59—81no—
808C2×C59C2×#54211yescharacteristic
809C2×C59#349011yescharacteristic
810C2×C59#349211yescharacteristic
811C2×C59#353611yescharacteristic
812C2×C59#353611yescharacteristic
813C2×C59#353711yescharacteristic
814C2×C59#353811yescharacteristic
815D59—24no—
816D59—42no—
817D59—81no—
818C24×C4—591no—
819C2×#126—591no—
820C2×#126C2×D5911yescharacteristic, complemented
821C2×#124—591no—
822C2×#124—591no—
823C2×#123—591no—
824C2×#123—591no—
825C2×C22⋊Q8—591no—
826C2×C22⋊Q8—591no—
827C2×C22⋊Q8—591no—
828C2×C22⋊Q8—591no—
829C2×C22⋊Q8—591no—
830C2×C22⋊Q8—591no—
831C2×C22⋊Q8C2×D5911yescharacteristic
832C2×#121—591no—
833C2×#121—591no—
834C2×#121—591no—
835C2×#120—591no—
836C2×#120—591no—
837C2×C4×D4—591no—
838C2×C4×D4—591no—
839C22×C4⋊C4—591no—
840C22×C4⋊C4—591no—
841C22×C22⋊C4—591no—
842C22×C22⋊C4—591no—
843#400—591no—
844#400—591no—
845#400—591no—
846#400—591no—
847#400—591no—
848#400C2×D5911yescharacteristic, complemented
849#399—591no—
850#399—591no—
851#399—591no—
852#399—591no—
853#398—591no—
854#398—591no—
855#398—591no—
856#398—591no—
857#398—591no—
858#398C2×D5911yescharacteristic, complemented
859#397—591no—
860#397—591no—
861#397—591no—
862#397—591no—
863#397—591no—
864#397—591no—
865#397—591no—
866#397—591no—
867#396—591no—
868#396—591no—
869#396—591no—
870#396C2×D5911yescharacteristic, complemented
871#395—591no—
872#395—591no—
873#395—591no—
874#395—591no—
875#395—591no—
876#395—591no—
877#394—591no—
878#394—591no—
879#394—591no—
880#394—591no—
881#394—591no—
882#394—591no—
883#394—591no—
884#394—591no—
885#394C2×D5911yescharacteristic
886#394C2×D5911yescharacteristic
887#393—591no—
888#393—591no—
889#393—591no—
890#393C2×D5911yescharacteristic, complemented
891#391—591no—
892#391C2×D5911yescharacteristic, complemented
893#390—591no—
894#390—591no—
895#389—591no—
896#389—591no—
897#389—591no—
898#389C2×D5911yescharacteristic, complemented
899#388—591no—
900#388—591no—
901#388—591no—
902#388—591no—
903#388—591no—
904#388—591no—
905#388—591no—
906#388—591no—
907#388—591no—
908#388C2×D5911yescharacteristic
909#388C2×D5911yescharacteristic
910#388C2×D5911yescharacteristic, complemented
911#387—591no—
912#387—591no—
913#387—591no—
914#387—591no—
915#387—591no—
916#387—591no—
917#387—591no—
918#387—591no—
919#387—591no—
920#387—591no—
921#387—591no—
922#387—591no—
923#386—591no—
924#386—591no—
925#386—591no—
926#386—591no—
927#386—591no—
928#386—591no—
929#386—591no—
930#386—591no—
931#386—591no—
932#386—591no—
933#386—591no—
934#386—591no—
935#386—591no—
936#386—591no—
937#386—591no—
938#386C2×D5911yescharacteristic
939#385—591no—
940#385—591no—
941#385—591no—
942#385—591no—
943#385—591no—
944#385—591no—
945#385—591no—
946#385—591no—
947#385—591no—
948#385—591no—
949#385—591no—
950#385—591no—
951#380—591no—
952#380—591no—
953#380—591no—
954#380—591no—
955#380—591no—
956#380—591no—
957#380—591no—
958#380—591no—
959#380—591no—
960#380—591no—
961#380—591no—
962#380—591no—
963#380—591no—
964#380—591no—
965#380—591no—
966#380C2×D5911yescharacteristic
967#379—591no—
968#379—591no—
969C4×C22⋊C4—591no—
970C4×C22⋊C4—591no—
971C2×#95—591no—
972C2×#95—591no—
973C59#3672911yescharacteristic, complemented, Sylow
974C25—591no—
975C22×Q8—591no—
976C22×Q8—591no—
977C22×Q8C22×D5911yescharacteristic
978C22×D4—591no—
979C22×D4—591no—
980C22×D4—591no—
981C22×D4—591no—
982C22×D4—591no—
983C22×D4—591no—
984C22×D4C22×D5911yescharacteristic
985C23×C4—591no—
986C23×C4—591no—
987C23×C4—591no—
988C23×C4—591no—
989C23×C4—591no—
990C23×C4—591no—
991C23×C4—591no—
992C23×C4—591no—
993C23×C4—591no—
994C23×C4—591no—
995C23×C4—591no—
996C23×C4—1184no—
997C23×C4—2362no—
998C23×C4—2362no—
999C23×C4C22×D5911yescharacteristic
1000#126—42no—
1001#126—2362no—
1002#124—2362no—
1003#124—2362no—
1004#123—2362no—
1005#123—2362no—
1006C22⋊Q8—42no—
1007C22⋊Q8—1184no—
1008C22⋊Q8—2362no—
1009C22⋊Q8—2362no—
1010C22⋊Q8—2362no—
1011C22⋊Q8—2362no—
1012C22⋊Q8—2362no—
1013#121—1184no—
1014#121—2362no—
1015#121—2362no—
1016#120—2362no—
1017#120—2362no—
1018C4×D4—2362no—
1019C4×D4—2362no—
1020C2×C4⋊C4—591no—
1021C2×C4⋊C4—591no—
1022C2×C4⋊C4—591no—
1023C2×C4⋊C4—591no—
1024C2×C4⋊C4—591no—
1025C2×C4⋊C4—591no—
1026C2×C4⋊C4—591no—
1027C2×C4⋊C4—591no—
1028C2×C4⋊C4—591no—
1029C2×C4⋊C4—591no—
1030C2×C4⋊C4—591no—
1031C2×C4⋊C4—591no—
1032C2×C4⋊C4—591no—
1033C2×C4⋊C4—591no—
1034C2×C4⋊C4—591no—
1035C2×C4⋊C4—591no—
1036C2×C4⋊C4—591no—
1037C2×C4⋊C4—591no—
1038C2×C4⋊C4—591no—
1039C2×C4⋊C4—591no—
1040C2×C4⋊C4—591no—
1041C2×C4⋊C4—591no—
1042C2×C4⋊C4—591no—
1043C2×C4⋊C4—591no—
1044C2×C4⋊C4—591no—
1045C2×C4⋊C4—591no—
1046C2×C4⋊C4—591no—
1047C2×C4⋊C4—2362no—
1048C2×C4⋊C4—2362no—
1049C2×C4⋊C4C22×D5911yescharacteristic
1050C2×C4⋊C4C22×D5911yescharacteristic
1051C2×C4⋊C4C22×D5911yescharacteristic
1052C2×C4⋊C4C22×D5911yescharacteristic
1053C2×C4⋊C4C22×D5911yescharacteristic
1054C2×C4⋊C4C22×D5911yescharacteristic
1055C2×C4⋊C4C22×D5911yescharacteristic
1056C2×C4⋊C4C22×D5911yescharacteristic
1057C2×C4⋊C4C22×D5911yescharacteristic
1058C2×C22⋊C4—591no—
1059C2×C22⋊C4—591no—
1060C2×C22⋊C4—591no—
1061C2×C22⋊C4—591no—
1062C2×C22⋊C4—591no—
1063C2×C22⋊C4—591no—
1064C2×C22⋊C4—591no—
1065C2×C22⋊C4—591no—
1066C2×C22⋊C4—591no—
1067C2×C22⋊C4—591no—
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—2362no—
1094C2×C22⋊C4—2362no—
1095C2×C22⋊C4C22×D5911yescharacteristic
1096C2×C22⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C22⋊C4C22×D5911yescharacteristic
1103C2×C22⋊C4C22×D5911yescharacteristic
1104C2×C22⋊C4C22×D5911yescharacteristic
1105C2×C22⋊C4C22×D5911yescharacteristic
1106C2×C42—591no—
1107C2×C42—591no—
1108C2×C42—591no—
1109C2×C42—591no—
1110C2×C42C22×D5911yescharacteristic
1111C2×C42C22×D5911yescharacteristic
1112#95—591no—
1113#95—591no—
1114#95—591no—
1115#95—591no—
1116#95—591no—
1117#95—591no—
1118#95—591no—
1119#95—591no—
1120#95—591no—
1121#95—591no—
1122#95—591no—
1123#95—591no—
1124#95—591no—
1125#95—591no—
1126#95—591no—
1127#95—591no—
1128#95—591no—
1129#95—591no—
1130#95—591no—
1131#95—591no—
1132#95—591no—
1133#95—591no—
1134#95—591no—
1135#95—591no—
1136#95—591no—
1137#95—591no—
1138#95—591no—
1139#95—591no—
1140#95—591no—
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95C22×D5911yescharacteristic
1147#95C22×D5911yescharacteristic
1148#95C22×D5911yescharacteristic
1149#95C22×D5911yescharacteristic
1150#95C22×D5911yescharacteristic
1151#95C22×D5911yescharacteristic
1152#95C22×D5911yescharacteristic
1153#95C22×D5911yescharacteristic
1154#95C22×D5911yescharacteristic
1155#95C22×D5911yescharacteristic
1156C24—591no—
1157C24—591no—
1158C24—591no—
1159C24—1182no—
1160C24—1182no—
1161C24—1182no—
1162C24—1182no—
1163C24—1182no—
1164C24—2361no—
1165C24—2361no—
1166C24C23×D5911yescharacteristic
1167C24C23×D5911yescharacteristic
1168C2×Q8—22no—
1169C2×Q8—41no—
1170C2×Q8—41no—
1171C2×Q8—2361no—
1172C2×Q8—2361no—
1173C2×Q8—2361no—
1174C2×Q8—2361no—
1175C2×Q8—2361no—
1176C2×Q8—2361no—
1177C2×D4—22no—
1178C2×D4—41no—
1179C2×D4—41no—
1180C2×D4—1182no—
1181C2×D4—1182no—
1182C2×D4—1182no—
1183C2×D4—1182no—
1184C2×D4—1182no—
1185C2×D4—1182no—
1186C2×D4—1182no—
1187C2×D4—1182no—
1188C2×D4—1182no—
1189C2×D4—1182no—
1190C2×D4—2361no—
1191C2×D4—2361no—
1192C2×D4—2361no—
1193C2×D4—2361no—
1194C2×D4—2361no—
1195C2×D4—2361no—
1196C2×D4—2361no—
1197C2×D4—2361no—
1198C22×C4—22no—
1199C22×C4—22no—
1200C22×C4—41no—
1201C22×C4—591no—
1202C22×C4—591no—
1203C22×C4—594no—
1204C22×C4—591no—
1205C22×C4—591no—
1206C22×C4—591no—
1207C22×C4—591no—
1208C22×C4—591no—
1209C22×C4—591no—
1210C22×C4—591no—
1211C22×C4—591no—
1212C22×C4—591no—
1213C22×C4—591no—
1214C22×C4—591no—
1215C22×C4—1182no—
1216C22×C4—1182no—
1217C22×C4—1182no—
1218C22×C4—1182no—
1219C22×C4—1182no—
1220C22×C4—1182no—
1221C22×C4—1182no—
1222C22×C4—1182no—
1223C22×C4—1182no—
1224C22×C4—1182no—
1225C22×C4—1182no—
1226C22×C4—1182no—
1227C22×C4—1182no—
1228C22×C4—2361no—
1229C22×C4—2361no—
1230C22×C4—2361no—
1231C22×C4—2361no—
1232C22×C4—2361no—
1233C22×C4—2361no—
1234C22×C4—2361no—
1235C22×C4—2361no—
1236C22×C4—2361no—
1237C22×C4—2361no—
1238C22×C4—2361no—
1239C22×C4—2361no—
1240C22×C4—2361no—
1241C22×C4—2361no—
1242C22×C4—2361no—
1243C22×C4—23616no—
1244C22×C4—2361no—
1245C22×C4—2361no—
1246C22×C4—2361no—
1247C22×C4—2361no—
1248C22×C4C23×D5911yescharacteristic
1249C22×C4C23×D5911yescharacteristic
1250C22×C4C23×D5911yescharacteristic
1251C22×C4C23×D5911yescharacteristic
1252C22×C4C23×D5911yescharacteristic
1253C22×C4C23×D5911yescharacteristic
1254C22×C4C23×D5911yescharacteristic
1255C22×C4C23×D5911yescharacteristic
1256C22×C4C23×D5911yescharacteristic
1257C22×C4C23×D5911yescharacteristic
1258C22×C4C23×D5911yescharacteristic
1259C22×C4C23×D5911yescharacteristic
1260C22×C4C23×D5911yescharacteristic
1261C4⋊C4—22no—
1262C4⋊C4—22no—
1263C4⋊C4—22no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—1182no—
1271C4⋊C4—1182no—
1272C4⋊C4—1182no—
1273C4⋊C4—1182no—
1274C4⋊C4—1182no—
1275C4⋊C4—1182no—
1276C4⋊C4—1182no—
1277C4⋊C4—1182no—
1278C4⋊C4—1182no—
1279C4⋊C4—2361no—
1280C4⋊C4—2361no—
1281C4⋊C4—2361no—
1282C4⋊C4—2361no—
1283C4⋊C4—2361no—
1284C4⋊C4—2361no—
1285C4⋊C4—2361no—
1286C4⋊C4—2361no—
1287C4⋊C4—2361no—
1288C4⋊C4—2361no—
1289C4⋊C4—2361no—
1290C4⋊C4—2361no—
1291C4⋊C4—2361no—
1292C4⋊C4—2361no—
1293C4⋊C4—2361no—
1294C4⋊C4—2361no—
1295C4⋊C4—2361no—
1296C4⋊C4—2361no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—22no—
1300C22⋊C4—22no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—1182no—
1309C22⋊C4—1182no—
1310C22⋊C4—1182no—
1311C22⋊C4—1182no—
1312C22⋊C4—1182no—
1313C22⋊C4—1182no—
1314C22⋊C4—1182no—
1315C22⋊C4—1182no—
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—2361no—
1325C22⋊C4—2361no—
1326C22⋊C4—2361no—
1327C22⋊C4—2361no—
1328C22⋊C4—2361no—
1329C22⋊C4—2361no—
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—
1343C42—41no—
1344C42—41no—
1345C42—2361no—
1346C42—2361no—
1347C42—2361no—
1348C42—2361no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—592no—
1363C23—592no—
1364C23—592no—
1365C23—592no—
1366C23—1188no—
1367C23—1181no—
1368C23—1181no—
1369C23—1181no—
1370C23—1181no—
1371C23—1181no—
1372C23—1181no—
1373C23—1181no—
1374C23—1181no—
1375C23—1181no—
1376C23—1181no—
1377C23—1181no—
1378C23—1181no—
1379C23—1181no—
1380C23—1181no—
1381C23—1181no—
1382C23—1181no—
1383C23—1181no—
1384C23—2364no—
1385C23—2364no—
1386C23—2364no—
1387C23—2364no—
1388C23—2364no—
1389C23—2364no—
1390C23#1427377312yes—
1391C23C24×D5911yescharacteristic
1392Q8—82no—
1393Q8—4722no—
1394Q8—4722no—
1395D4—82no—
1396D4—4722no—
1397D4—4722no—
1398D4—4722no—
1399D4—4722no—
1400D4—2364no—
1401D4—2364no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—44no—
1440C2×C4—592no—
1441C2×C4—592no—
1442C2×C4—1188no—
1443C2×C4—1181no—
1444C2×C4—1181no—
1445C2×C4—1181no—
1446C2×C4—1181no—
1447C2×C4—1181no—
1448C2×C4—1181no—
1449C2×C4—1181no—
1450C2×C4—1181no—
1451C2×C4—1181no—
1452C2×C4—1181no—
1453C2×C4—1181no—
1454C2×C4—1181no—
1455C2×C4—1181no—
1456C2×C4—1181no—
1457C2×C4—1181no—
1458C2×C4—1181no—
1459C2×C4—1181no—
1460C2×C4—1181no—
1461C2×C4—1181no—
1462C2×C4—1181no—
1463C2×C4—1181no—
1464C2×C4—1181no—
1465C2×C4—1181no—
1466C2×C4—1181no—
1467C2×C4—1181no—
1468C2×C4—1181no—
1469C2×C4—1181no—
1470C2×C4—1181no—
1471C2×C4—1181no—
1472C2×C4—1181no—
1473C2×C4—1181no—
1474C2×C4—1181no—
1475C2×C4—1181no—
1476C2×C4—1181no—
1477C2×C4—1181no—
1478C2×C4—1181no—
1479C2×C4—1181no—
1480C2×C4—4722no—
1481C2×C4—4722no—
1482C2×C4—4722no—
1483C2×C4—4722no—
1484C2×C4—4722no—
1485C2×C4—4722no—
1486C2×C4—2364no—
1487C2×C4—2364no—
1488C2×C4—2364no—
1489C2×C4—2364no—
1490C2×C4#41×D5912yes—
1491C2×C4#1427377212yes—
1492C22—22no—
1493C22—22no—
1494C22—22no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—41no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—594no—
1507C22—1182no—
1508C22—1182no—
1509C22—1182no—
1510C22—1182no—
1511C22—1182no—
1512C22—1182no—
1513C22—1182no—
1514C22—1182no—
1515C22—1182no—
1516C22—23616no—
1517C22—2361no—
1518C22—2361no—
1519C22—2361no—
1520C22—2361no—
1521C22—2361no—
1522C22—2361no—
1523C22—2361no—
1524C22—2361no—
1525C22—2361no—
1526C22—2361no—
1527C22—2361no—
1528C22C2×#41×D5911yescharacteristic
1529C22H(5,𝔽2)×D5911yescharacteristic
1530C22H(5,𝔽2)×D5911yescharacteristic
1531C22C2×#1427377211yescharacteristic
1532C22C2×#1427377311yescharacteristic
1533C222−1+4×D5911yescharacteristic
1534C222−1+4×D5911yescharacteristic
1535C4—22no—
1536C4—22no—
1537C4—41no—
1538C4—41no—
1539C4—41no—
1540C4—41no—
1541C4—41no—
1542C4—41no—
1543C4—41no—
1544C4—41no—
1545C4—41no—
1546C4—41no—
1547C4—41no—
1548C4—1182no—
1549C4—1182no—
1550C4—2361no—
1551C4—2361no—
1552C4—2361no—
1553C4—2361no—
1554C4—2361no—
1555C4—2361no—
1556C4—2361no—
1557C4—2361no—
1558C4—2361no—
1559C4—2361no—
1560C4—2361no—
1561C2—42no—
1562C2—81no—
1563C2—1184no—
1564C2—4721no—
1565C2—2362no—
1566C2#542×D5911yescharacteristic
1567C2#2143777811yescharacteristic
1568C2#2143779611yescharacteristic
1569C2#2143831211yescharacteristic
1570C2#2143831411yescharacteristic
1571C2#2143832811yescharacteristic
1572C2#2143834011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2702C2
prime radical#21432377C2
hypercenter#2702D59
hypocenterC59#36729
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2702

Complements

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

NH ≅ G/Ntype
1. #21432380C2semidirect
3. #21431296C2semidirect
4. #21431292C2semidirect
5. #21431224C2semidirect
6. #21431223C2semidirect
7. #21431217C2semidirect
8. #21431209C2semidirect
9. #21430934C2semidirect
10. #21430932C2semidirect
11. #21430720C2semidirect
12. #21430591C2semidirect
13. #21430587C2semidirect
14. #21430583C2semidirect
15. #21430571C2semidirect
16. #21430349C2semidirect
17. #21430340C2semidirect
18. #21430211C2semidirect
19. #21430025C2semidirect
20. #21428353C2semidirect
21. #21428350C2semidirect
22. #21428220C2semidirect
23. #21428217C2semidirect
24. #21427912C2semidirect
25. #21427906C2semidirect
26. #21427563C2semidirect
27. #21427551C2semidirect
28. #21426828C2semidirect
29. #21426800C2semidirect
30. #380×D59C2semidirect
31. C59×#2702C2semidirect
33. C2×#14273722C22semidirect
40. C2×#14273705C22semidirect
41. C2×#14273704C22semidirect
55. #16837343C22semidirect
56. #16837343C22semidirect
57. #16837343C22semidirect
58. #16837341C22semidirect
59. #16837340C22semidirect
61. #16837338C22semidirect
63. #16837337C22semidirect
64. #16837336C22semidirect
65. #16837336C22semidirect
66. #16837335C22semidirect
67. #16837335C22semidirect
68. #16837333C22semidirect
71. #16837329C22semidirect
72. #16837328C22semidirect
75. #16837327C22semidirect
76. #16837327C22semidirect
77. #16837326C22semidirect
78. #16837325C22semidirect
79. #16837324C22semidirect
80. #16837323C22semidirect
81. #16837323C22semidirect
82. #16837323C22semidirect
83. #16837323C22semidirect
84. #16837322C22semidirect
85. #16837322C22semidirect
92. #16837317C22semidirect
93. #16837317C22semidirect
96. #16837313C22semidirect
97. #16837309C22semidirect
100. #16837301C22semidirect
101. #16837299C22semidirect
102. #16837297C22semidirect
104. #16837296C22semidirect
108. #16837292C22semidirect
110. #16837291C22semidirect
112. #16837289C22semidirect
113. #16837288C22semidirect
114. #16837287C22semidirect
115. #16837287C22semidirect
116. #16837286C22semidirect
117. #16837286C22semidirect
118. #16837286C22semidirect
119. #16837286C22semidirect
120. #16837285C22semidirect
121. #16837284C22semidirect
122. #16837284C22semidirect
123. #16837283C22semidirect
132. #16837279C22semidirect
138. #16837278C22semidirect
139. #16837277C22semidirect
140. #16837277C22semidirect
142. #16837276C22semidirect
150. #16837273C22semidirect
172. C2×#126×C59C22semidirect
174. C59×#400C22semidirect
175. C59×#398C22semidirect
176. C59×#396C22semidirect
179. C59×#393C22semidirect
180. C59×#391C22semidirect
181. C59×#389C22semidirect
184. C59×#388C22semidirect
786. #2702D59semidirect
820. C2×#126C2×D59semidirect
848. #400C2×D59semidirect
858. #398C2×D59semidirect
870. #396C2×D59semidirect
890. #393C2×D59semidirect
892. #391C2×D59semidirect
898. #389C2×D59semidirect
910. #388C2×D59semidirect
973. C59#36729semidirect

Maximal subgroups

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

subgroupindex
#214323802
#214323772
#214312962
#214312922
#214312242
#214312232
#214312172
#214312092
#214309342
#214309322
#214307202
#214305912
#214305872
#214305832
#214305712
#214303492
#214303402
#214302112
#214300252
#214283532
#214283502
#214282202
#214282172
#214279122
#214279062
#214275632
#214275512
#214268282
#214268002
#380×D592
C59×#27022
#3672959