Finite Group Databasebeta

← #28755214

Subgroups — #28755214

Order 15104.

2094 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21430163C211yesmaximal, characteristic, complemented
2#21430153C211yesmaximal, characteristic, complemented
3#21430144C211yesmaximal, characteristic, complemented
4#21430142C211yesmaximal, characteristic, complemented
5#21430105C211yesmaximal, characteristic, complemented
6#21430086C211yesmaximal, characteristic, complemented
7#21430080C211yesmaximal, characteristic, complemented
8#21430067C211yesmaximal, characteristic, complemented
9#21430053C211yesmaximal, characteristic, complemented
10#21430050C211yesmaximal, characteristic, complemented
11#21430023C211yesmaximal, characteristic, complemented
12#21429902C211yesmaximal, characteristic, complemented
13#21429870C211yesmaximal, characteristic, complemented
14#21429868C211yesmaximal, characteristic, complemented
15#21429835C211yesmaximal, characteristic
16#21427395C211yesmaximal, characteristic, complemented
17#21427393C211yesmaximal, characteristic, complemented
18#21427385C211yesmaximal, characteristic, complemented
19#21427384C211yesmaximal, characteristic, complemented
20#21427361C211yesmaximal, characteristic, complemented
21#21427354C211yesmaximal, characteristic, complemented
22#21427341C211yesmaximal, characteristic, complemented
23#21427339C211yesmaximal, characteristic, complemented
24#21426626C211yesmaximal, characteristic, complemented
25#21426608C211yesmaximal, characteristic, complemented
26#21426601C211yesmaximal, characteristic, complemented
27#21426597C211yesmaximal, characteristic, complemented
28#21426538C211yesmaximal, characteristic, complemented
29#21426534C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2649C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33C2×#14273707C2211yescharacteristic
34C2×#14273700C2211yescharacteristic
35C2×#14273697C2211yescharacteristic
36C2×#14273695C2211yescharacteristic
37C2×#14273692C2211yescharacteristic, complemented
38C2×D4×Dic59C2211yescharacteristic
39C2×#14273689C2211yescharacteristic
40C2×#14273689C2211yescharacteristic
41C2×(C22⋊D59)⋊C4C2211yescharacteristic
42C2×(C22⋊D59)⋊C4C2211yescharacteristic
43C2×(C22⋊D59)⋊C4C2211yescharacteristic
44C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
45C2×#14273685C2211yescharacteristic, complemented
46C2×#14273683C2211yescharacteristic, complemented
47C2×C22⋊C4×D59C2211yescharacteristic
48C2×C22⋊C4×D59C2211yescharacteristic
49C2×C42×D59C2211yescharacteristic
50C2×C42×D59C2211yescharacteristic
51C59⋊#401C2211yescharacteristic, complemented
52C59⋊#401C2211yescharacteristic, complemented
53#16837344C2211yescharacteristic, complemented
54#16837344C2211yescharacteristic, complemented
55#16837343C2211yescharacteristic, complemented
56#16837343C2211yescharacteristic, complemented
57#16837342C2211yescharacteristic, complemented
58#16837342C2211yescharacteristic, complemented
59#16837341C2211yescharacteristic, complemented
60#16837340C2211yescharacteristic, complemented
61#16837340C2211yescharacteristic, complemented
62#16837340C2211yescharacteristic, complemented
63#16837337C2211yescharacteristic
64#16837336C2211yescharacteristic, complemented
65#16837336C2211yescharacteristic, complemented
66#16837335C2211yescharacteristic, complemented
67#16837334C2211yescharacteristic, complemented
68#16837331C2211yescharacteristic
69#16837331C2211yescharacteristic
70#16837331C2211yescharacteristic
71#16837331C2211yescharacteristic, complemented
72#16837331C2211yescharacteristic, complemented
73#16837330C2211yescharacteristic
74#16837330C2211yescharacteristic
75#16837330C2211yescharacteristic
76#16837330C2211yescharacteristic, complemented
77#16837330C2211yescharacteristic, complemented
78#16837330C2211yescharacteristic, complemented
79#16837329C2211yescharacteristic
80#16837328C2211yescharacteristic
81#16837328C2211yescharacteristic, complemented
82#16837328C2211yescharacteristic, complemented
83#16837327C2211yescharacteristic
84#16837325C2211yescharacteristic
85#16837325C2211yescharacteristic
86#16837324C2211yescharacteristic
87#16837324C2211yescharacteristic
88#16837324C2211yescharacteristic, complemented
89#16837320C2211yescharacteristic
90#16837319C2211yescharacteristic
91#16837319C2211yescharacteristic
92#16837318C2211yescharacteristic
93#16837318C2211yescharacteristic
94#16837318C2211yescharacteristic
95#16837318C2211yescharacteristic
96#16837318C2211yescharacteristic, complemented
97#16837318C2211yescharacteristic, complemented
98#16837317C2211yescharacteristic
99#16837317C2211yescharacteristic
100#16837316C2211yescharacteristic
101#16837315C2211yescharacteristic
102#16837315C2211yescharacteristic, complemented
103#16837314C2211yescharacteristic
104#16837314C2211yescharacteristic, complemented
105#16837311C2211yescharacteristic
106#16837310C2211yescharacteristic
107#16837308C2211yescharacteristic, complemented
108#16837302C2211yescharacteristic, complemented
109#16837297C2211yescharacteristic, complemented
110#16837295C2211yescharacteristic, complemented
111#16837293C2211yescharacteristic, complemented
112#16837293C2211yescharacteristic, complemented
113#16837291C2211yescharacteristic, complemented
114#16837288C2211yescharacteristic, complemented
115#16837286C2211yescharacteristic, complemented
116#16837285C2211yescharacteristic, complemented
117#16837285C2211yescharacteristic, complemented
118#16837284C2211yescharacteristic, complemented
119#16837281C2211yescharacteristic
120#16837280C2211yescharacteristic
121#16837280C2211yescharacteristic
122#16837280C2211yescharacteristic
123#16837280C2211yescharacteristic
124#16837280C2211yescharacteristic
125#16837278C2211yescharacteristic
126#16837278C2211yescharacteristic
127#16837278C2211yescharacteristic
128#16837278C2211yescharacteristic
129#16837278C2211yescharacteristic
130#16837276C2211yescharacteristic
131#16837276C2211yescharacteristic
132#16837276C2211yescharacteristic
133#16837276C2211yescharacteristic
134#16837275C2211yescharacteristic
135#16837273C2211yescharacteristic
136#16837273C2211yescharacteristic
137#16837273C2211yescharacteristic
138#16837273C2211yescharacteristic
139#16837273C2211yescharacteristic
140#16837273C2211yescharacteristic
141#16837261C2211yescharacteristic
142#16837259C2211yescharacteristic
143#16837257C2211yescharacteristic
144#16837257C2211yescharacteristic
145C4⋊C4×Dic59C2211yescharacteristic, complemented
146C4⋊C4×Dic59C2211yescharacteristic, complemented
147C4⋊C4×Dic59C2211yescharacteristic, complemented
148C4⋊C4×Dic59C2211yescharacteristic, complemented
149#16837253C2211yescharacteristic, complemented
150#16837253C2211yescharacteristic, complemented
151C22⋊C4×Dic59C2211yescharacteristic
152C22⋊C4×Dic59C2211yescharacteristic
153C22⋊C4×Dic59C2211yescharacteristic
154C22⋊C4×Dic59C2211yescharacteristic
155C22⋊C4×Dic59C2211yescharacteristic, complemented
156C22⋊C4×Dic59C2211yescharacteristic, complemented
157C4×(C2×D59)⋊C4C2211yescharacteristic
158C4×(C2×D59)⋊C4C2211yescharacteristic
159C4×C22⋊Dic59C2211yescharacteristic
160#16837249C2211yescharacteristic
161#16837249C2211yescharacteristic
162#16837249C2211yescharacteristic
163#16837249C2211yescharacteristic
164#16837249C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837247C2211yescharacteristic, complemented
169#16837247C2211yescharacteristic, complemented
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172C59×#400C2211yescharacteristic, complemented
173C59×#400C2211yescharacteristic, complemented
174C59×#399C2211yescharacteristic
175C59×#397C2211yescharacteristic
176C59×#397C2211yescharacteristic, complemented
177C59×#396C2211yescharacteristic, complemented
178C59×#394C2211yescharacteristic
179C59×#394C2211yescharacteristic
180C59×#389C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#385C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×C22⋊D59C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C23×Dic59C2311yescharacteristic
196C23×Dic59C2311yescharacteristic
197C22×C4×D59—24no—
198C22×C4×D59—42no—
199C22×C4×D59—42no—
200C22×C4×D59C2311yescharacteristic
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209#14273707—24no—
210#14273700—24no—
211#14273697—24no—
212#14273695—24no—
213#14273692—42no—
214D4×Dic59—42no—
215#14273689—24no—
216#14273689—42no—
217(C22⋊D59)⋊C4—24no—
218(C22⋊D59)⋊C4—42no—
219(C22⋊D59)⋊C4—42no—
220(C22⋊D59)⋊C4—42no—
221#14273685—42no—
222#14273683—42no—
223C2×C4⋊Dic59C2311yescharacteristic
224C2×C4⋊Dic59C2311yescharacteristic
225C2×C4⋊Dic59C2311yescharacteristic
226C2×C4⋊Dic59C2311yescharacteristic
227C2×C4⋊Dic59C2311yescharacteristic
228C2×C4⋊Dic59C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×C22⋊Dic59C2311yescharacteristic
242C2×C22⋊Dic59C2311yescharacteristic
243C2×C22⋊Dic59C2311yescharacteristic
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×(C2×D59)⋊C4C2311yescharacteristic
251C2×(C2×D59)⋊C4C2311yescharacteristic
252C2×(C2×D59)⋊C4C2311yescharacteristic
253C2×(C2×D59)⋊C4C2311yescharacteristic
254C2×(C2×D59)⋊C4C2311yescharacteristic
255C2×(C2×D59)⋊C4C2311yescharacteristic
256C2×(C2×D59)⋊C4C2311yescharacteristic
257C2×(C2×D59)⋊C4C2311yescharacteristic
258C2×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
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
276C22⋊C4×D59—24no—
277C22⋊C4×D59—24no—
278C2×C4×Dic59C2311yescharacteristic
279C2×C4×Dic59C2311yescharacteristic
280C2×C4×Dic59C2311yescharacteristic
281C2×C4×Dic59C2311yescharacteristic
282C2×C4×Dic59C2311yescharacteristic
283C2×C4×Dic59C2311yescharacteristic
284C2×C4×Dic59C2311yescharacteristic
285C2×C4×Dic59C2311yescharacteristic
286C2×C4×Dic59C2311yescharacteristic
287C2×C4×Dic59C2311yescharacteristic
288C2×C4×Dic59C2311yescharacteristic
289C2×C4×Dic59C2311yescharacteristic
290C42×D59—42no—
291C42×D59—42no—
292C59⋊#95C2311yescharacteristic
293C59⋊#95C2311yescharacteristic
294C59⋊#95C2311yescharacteristic
295C59⋊#95C2311yescharacteristic
296C59⋊#95C2311yescharacteristic
297C59⋊#95C2311yescharacteristic
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
328C22×D4×C59C2311yescharacteristic
329C23×C4×C59C2311yescharacteristic
330C2×C4⋊C4×C59C2311yescharacteristic
331C2×C4⋊C4×C59C2311yescharacteristic
332C2×C4⋊C4×C59C2311yescharacteristic
333C2×C4⋊C4×C59C2311yescharacteristic
334C2×C4⋊C4×C59C2311yescharacteristic
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C22⋊C4×C59C2311yescharacteristic
339C2×C22⋊C4×C59C2311yescharacteristic
340C2×C22⋊C4×C59C2311yescharacteristic
341C2×C22⋊C4×C59C2311yescharacteristic
342C2×C22⋊C4×C59C2311yescharacteristic
343C2×C22⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C42×C59C2311yescharacteristic
350C2×C42×C59C2311yescharacteristic
351#95×C59C2311yescharacteristic
352#95×C59C2311yescharacteristic
353#95×C59C2311yescharacteristic
354#95×C59C2311yescharacteristic
355#95×C59C2311yescharacteristic
356#95×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363C24×C59C2411yescharacteristic
364C24×C59C2411yescharacteristic
365C23×D59—22no—
366C23×D59—22no—
367C23×D59—41no—
368C23×D59—41no—
369C23×D59—41no—
370C23×D59—41no—
371C23×D59#4114yes—
372C23×D59C2411yescharacteristic
373C23×D59C2411yescharacteristic
374C23×D59C2411yescharacteristic
375C2×D4×C59—22no—
376C2×D4×C59—41no—
377C2×D4×C59—41no—
378C22×C4×C59—22no—
379C22×C4×C59—41no—
380C22×C4×C59—41no—
381C22×C4×C59C2411yescharacteristic
382C22×C4×C59C2411yescharacteristic
383C22×C4×C59C2411yescharacteristic
384C22×C4×C59C2411yescharacteristic
385C22×C4×C59C2411yescharacteristic
386C22×C4×C59C2411yescharacteristic
387C22×C4×C59C2411yescharacteristic
388C22×C4×C59C2411yescharacteristic
389C22×C4×C59C2411yescharacteristic
390C22×C4×C59C2411yescharacteristic
391C22×C4×C59C2411yescharacteristic
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C2×C22⋊D59—22no—
395C2×C22⋊D59—22no—
396C2×C22⋊D59—22no—
397C2×C22⋊D59—22no—
398C2×C22⋊D59—22no—
399C2×C22⋊D59—22no—
400C2×C22⋊D59—41no—
401C2×C22⋊D59—41no—
402C2×C22⋊D59—41no—
403C2×C22⋊D59—41no—
404C2×C22⋊D59—41no—
405C2×C22⋊D59—41no—
406C22×Dic59—22no—
407C22×Dic59—22no—
408C22×Dic59—22no—
409C22×Dic59—22no—
410C22×Dic59—22no—
411C22×Dic59—22no—
412C22×Dic59C2411yescharacteristic
413C22×Dic59C2411yescharacteristic
414C22×Dic59C2411yescharacteristic
415C22×Dic59C2411yescharacteristic
416C22×Dic59C2411yescharacteristic
417C22×Dic59C2411yescharacteristic
418C22×Dic59C2411yescharacteristic
419C22×Dic59C2411yescharacteristic
420C22×Dic59C2411yescharacteristic
421C22×Dic59C2411yescharacteristic
422C22×Dic59C2411yescharacteristic
423C22×Dic59C2411yescharacteristic
424C22×Dic59C2411yescharacteristic
425C2×D236—22no—
426C2×D236—22no—
427C2×D236—22no—
428C2×D236—22no—
429C2×D236—41no—
430C2×D236—41no—
431C2×C4×D59—22no—
432C2×C4×D59—22no—
433C2×C4×D59—22no—
434C2×C4×D59—22no—
435C2×C4×D59—22no—
436C2×C4×D59—22no—
437C2×C4×D59—22no—
438C2×C4×D59—22no—
439C2×C4×D59—22no—
440C2×C4×D59—22no—
441C2×C4×D59—22no—
442C2×C4×D59—22no—
443C2×C4×D59—22no—
444C2×C4×D59—416no—
445C2×C4×D59—41no—
446C2×C4×D59—41no—
447C2×C4×D59—41no—
448C2×C4×D59—41no—
449C2×C4×D59—41no—
450C2×C4×D59—41no—
451C2×C4×D59—41no—
452C2×C4×D59—41no—
453C2×C4×D59—41no—
454C2×C4×D59—41no—
455C2×C4×D59—41no—
456C2×C4×D59—41no—
457C2×C4×D59#4114yes—
458C2×C4×D59#4114yes—
459C2×Dic118—22no—
460C2×Dic118—41no—
461C2×Dic118—41no—
462C4⋊C4×C59—22no—
463C4⋊C4×C59—22no—
464C4⋊C4×C59—41no—
465C4⋊C4×C59—41no—
466C4⋊C4×C59—41no—
467C4⋊C4×C59—41no—
468C4⋊C4×C59—41no—
469C4⋊C4×C59—41no—
470C22⋊C4×C59—22no—
471C22⋊C4×C59—22no—
472C22⋊C4×C59—22no—
473C22⋊C4×C59—22no—
474C22⋊C4×C59—22no—
475C22⋊C4×C59—41no—
476C22⋊C4×C59—41no—
477C22⋊C4×C59—41no—
478C22⋊C4×C59—41no—
479C22⋊C4×C59—41no—
480C22⋊C4×C59—41no—
481C42×C59—41no—
482C42×C59—41no—
483C22⋊Dic59—22no—
484C22⋊Dic59—22no—
485C22⋊Dic59—22no—
486C22⋊Dic59—41no—
487C22⋊Dic59—41no—
488C22⋊Dic59—41no—
489C22⋊Dic59—41no—
490C22⋊Dic59—41no—
491C22⋊Dic59—41no—
492(C2×D59)⋊C4—22no—
493(C2×D59)⋊C4—22no—
494(C2×D59)⋊C4—22no—
495(C2×D59)⋊C4—22no—
496(C2×D59)⋊C4—22no—
497(C2×D59)⋊C4—22no—
498(C2×D59)⋊C4—22no—
499(C2×D59)⋊C4—22no—
500(C2×D59)⋊C4—22no—
501(C2×D59)⋊C4—22no—
502(C2×D59)⋊C4—22no—
503(C2×D59)⋊C4—22no—
504(C2×D59)⋊C4—22no—
505(C2×D59)⋊C4—22no—
506(C2×D59)⋊C4—41no—
507(C2×D59)⋊C4—41no—
508(C2×D59)⋊C4—41no—
509(C2×D59)⋊C4—41no—
510(C2×D59)⋊C4—41no—
511(C2×D59)⋊C4—41no—
512(C2×D59)⋊C4—41no—
513(C2×D59)⋊C4—41no—
514(C2×D59)⋊C4—41no—
515(C2×D59)⋊C4—41no—
516(C2×D59)⋊C4—41no—
517(C2×D59)⋊C4—41no—
518C4⋊Dic59—22no—
519C4⋊Dic59—22no—
520C4⋊Dic59—41no—
521C4⋊Dic59—41no—
522C4⋊Dic59—41no—
523C4⋊Dic59—41no—
524Dic59⋊C4—22no—
525Dic59⋊C4—22no—
526Dic59⋊C4—41no—
527Dic59⋊C4—41no—
528Dic59⋊C4—41no—
529Dic59⋊C4—41no—
530Dic59⋊C4—41no—
531Dic59⋊C4—41no—
532Dic59⋊C4—41no—
533Dic59⋊C4—41no—
534Dic59⋊C4—41no—
535Dic59⋊C4—41no—
536C4×Dic59—22no—
537C4×Dic59—22no—
538C4×Dic59—22no—
539C4×Dic59—22no—
540C4×Dic59—22no—
541C4×Dic59—22no—
542C4×Dic59—22no—
543C4×Dic59—22no—
544C4×Dic59—22no—
545C4×Dic59—22no—
546C4×Dic59—41no—
547C4×Dic59—41no—
548C23×C59—21no—
549C23×C59—21no—
550C23×C59—21no—
551C23×C59—21no—
552C23×C59—21no—
553C23×C59—21no—
554C23×C59—21no—
555C23×C59—21no—
556C23×C59—21no—
557C23×C59—21no—
558C23×C59—21no—
559C23×C59—21no—
560C23×C59—21no—
561C23×C59C2×#4112yes—
562C23×C59C2511yescharacteristic
563C22×D59—21no—
564C22×D59—21no—
565C22×D59—21no—
566C22×D59—21no—
567C22×D59—21no—
568C22×D59—21no—
569C22×D59—21no—
570C22×D59—21no—
571C22×D59—21no—
572C22×D59—21no—
573C22×D59—28no—
574C22×D59—21no—
575C22×D59—21no—
576C22×D59—21no—
577C22×D59—21no—
578C22×D59—21no—
579C22×D59—21no—
580C22×D59—21no—
581C22×D59—44no—
582C22×D59—44no—
583C22×D59—44no—
584C22×D59—44no—
585C22×D59—44no—
586C22×D59—44no—
587C22×D59C2×#4112yes—
588C22×D59C2×#4112yes—
589C22×D59C2×#4112yes—
590C22×D59C2×#4112yes—
591D4×C59—44no—
592C2×C4×C59—21no—
593C2×C4×C59—21no—
594C2×C4×C59—21no—
595C2×C4×C59—21no—
596C2×C4×C59—21no—
597C2×C4×C59—21no—
598C2×C4×C59—21no—
599C2×C4×C59—21no—
600C2×C4×C59—21no—
601C2×C4×C59—21no—
602C2×C4×C59—21no—
603C2×C4×C59—21no—
604C2×C4×C59—21no—
605C2×C4×C59—21no—
606C2×C4×C59—21no—
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—44no—
630C2×C4×C59C2×#4112yes—
631C2×C4×C59C2×#4112yes—
632C22⋊D59—44no—
633C22⋊D59—44no—
634C22⋊D59—44no—
635C22⋊D59—44no—
636C2×Dic59—21no—
637C2×Dic59—21no—
638C2×Dic59—21no—
639C2×Dic59—21no—
640C2×Dic59—21no—
641C2×Dic59—21no—
642C2×Dic59—21no—
643C2×Dic59—21no—
644C2×Dic59—21no—
645C2×Dic59—21no—
646C2×Dic59—21no—
647C2×Dic59—21no—
648C2×Dic59—21no—
649C2×Dic59—21no—
650C2×Dic59—21no—
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—44no—
672C2×Dic59—44no—
673C2×Dic59C2×#4112yes—
674C2×Dic59C2×#4112yes—
675C2×Dic59H(5,𝔽2)12yes—
676C2×Dic59H(5,𝔽2)12yes—
677D236—44no—
678D236—44no—
679C4×D59—28no—
680C4×D59—44no—
681C4×D59—44no—
682C4×D59—44no—
683C4×D59—44no—
684C4×D59—44no—
685C4×D59—44no—
686C4×D59—44no—
687C4×D59—44no—
688Dic118—44no—
689#34570—591nomaximal, Sylow
690C22×C59—22no—
691C22×C59—22no—
692C22×C59—22no—
693C22×C59—41no—
694C22×C59—41no—
695C22×C59—41no—
696C22×C59—41no—
697C22×C59—41no—
698C22×C59—41no—
699C22×C59—41no—
700C22×C59—41no—
701C22×C59—41no—
702C22×C59—41no—
703C22×C59—41no—
704C22×C59C22×#4111yescharacteristic
705C22×C59C22×#4111yescharacteristic
706C22×C59C22×#4111yescharacteristic
707C22×C59C2×H(5,𝔽2)11yescharacteristic
708C22×C59C2×H(5,𝔽2)11yescharacteristic
709C22×C59#58511yescharacteristic
710C22×C59#58511yescharacteristic
711C2×D59—22no—
712C2×D59—22no—
713C2×D59—22no—
714C2×D59—22no—
715C2×D59—22no—
716C2×D59—22no—
717C2×D59—22no—
718C2×D59—22no—
719C2×D59—22no—
720C2×D59—416no—
721C2×D59—41no—
722C2×D59—41no—
723C2×D59—41no—
724C2×D59—41no—
725C2×D59—41no—
726C2×D59—41no—
727C2×D59—41no—
728C2×D59—41no—
729C2×D59—41no—
730C2×D59—41no—
731C2×D59—41no—
732C2×D59#52914yes—
733C4×C59—22no—
734C4×C59—22no—
735C4×C59—41no—
736C4×C59—41no—
737C4×C59—41no—
738C4×C59—41no—
739C4×C59—41no—
740C4×C59—41no—
741C4×C59—41no—
742C4×C59—41no—
743C4×C59—41no—
744C4×C59—41no—
745C4×C59—41no—
746Dic59—22no—
747Dic59—41no—
748Dic59—41no—
749Dic59—41no—
750Dic59—41no—
751Dic59—41no—
752Dic59—41no—
753Dic59—41no—
754Dic59—41no—
755Dic59—41no—
756Dic59—41no—
757Dic59—41no—
758Dic59#53814yes—
759#2653—591no—
760#2653—591no—
761#2652—591no—
762#2652—591no—
763#2649—591no—
764#2649D5911yescharacteristic, complemented
765#2648—591no—
766#2648—591no—
767#2646—591no—
768#2643—591no—
769#2643—591no—
770#2639—591no—
771#2626—591no—
772#2622—591no—
773#2622—591no—
774#2617—591no—
775#2401—591no—
776#2401—591no—
777#2398—591no—
778#2398—591no—
779#2395—591no—
780#2395—591no—
781#2392—591no—
782#2392—591no—
783C4×C22⋊Q8—591no—
784C4×#121—591no—
785C4×#120—591no—
786C4×#120—591no—
787#2290—591no—
788#2290—591no—
789C2×C4×C22⋊C4—591no—
790C2×C59—42no—
791C2×C59—81no—
792C2×C59C2×#52911yescharacteristic
793C2×C59C2×#53811yescharacteristic
794C2×C59#345511yescharacteristic
795C2×C59#345911yescharacteristic
796C2×C59#345911yescharacteristic
797C2×C59#345911yescharacteristic
798C2×C59#346011yescharacteristic
799D59—24no—
800D59—42no—
801D59—81no—
802C24×C4—591no—
803C2×C22⋊Q8—591no—
804C2×#121—591no—
805C2×#120—591no—
806C2×#120—591no—
807C2×C4×Q8—591no—
808C2×C4×D4—591no—
809C2×C4×D4—591no—
810C2×C4×D4—591no—
811C2×C4×D4—591no—
812C2×C4×D4—591no—
813C2×C4×D4—591no—
814C2×C4×D4—591no—
815C2×#117—591no—
816C2×#117—591no—
817C22×C22⋊C4—591no—
818C22×C22⋊C4—591no—
819C22×C42—591no—
820C22×C42—591no—
821#401—591no—
822#401—591no—
823#400—591no—
824#400—591no—
825#400—591no—
826#400—591no—
827#400—591no—
828#400—591no—
829#400—591no—
830#400—591no—
831#400—591no—
832#400—591no—
833#400C2×D5911yescharacteristic, complemented
834#400C2×D5911yescharacteristic, complemented
835#399—591no—
836#399C2×D5911yescharacteristic
837#398—591no—
838#398—591no—
839#398—591no—
840#398—591no—
841#397—591no—
842#397—591no—
843#397—591no—
844#397—591no—
845#397—591no—
846#397—591no—
847#397—591no—
848#397—591no—
849#397—591no—
850#397—591no—
851#397—591no—
852#397—591no—
853#397—591no—
854#397—591no—
855#397—591no—
856#397—591no—
857#397C2×D5911yescharacteristic
858#397C2×D5911yescharacteristic, complemented
859#396—591no—
860#396—591no—
861#396—591no—
862#396—591no—
863#396—591no—
864#396C2×D5911yescharacteristic, complemented
865#394—591no—
866#394—591no—
867#394—591no—
868#394—591no—
869#394—591no—
870#394—591no—
871#394—591no—
872#394—591no—
873#394—591no—
874#394—591no—
875#394—591no—
876#394—591no—
877#394C2×D5911yescharacteristic
878#394C2×D5911yescharacteristic
879#393—591no—
880#393—591no—
881#393—591no—
882#393—591no—
883#392—591no—
884#392—591no—
885#391—591no—
886#390—591no—
887#389—591no—
888#389C2×D5911yescharacteristic, complemented
889#388—591no—
890#388—591no—
891#388—591no—
892#388—591no—
893#388C2×D5911yescharacteristic, complemented
894#388C2×D5911yescharacteristic, complemented
895#387—591no—
896#387—591no—
897#387—591no—
898#387—591no—
899#387—591no—
900#387C2×D5911yescharacteristic, complemented
901#386—591no—
902#386—591no—
903#386—591no—
904#386—591no—
905#386—591no—
906#386—591no—
907#386—591no—
908#386—591no—
909#386—591no—
910#386—591no—
911#386—591no—
912#386C2×D5911yescharacteristic
913#385—591no—
914#385—591no—
915#385—591no—
916#385—591no—
917#385—591no—
918#385—591no—
919#385—591no—
920#385—591no—
921#385—591no—
922#385—591no—
923#385—591no—
924#385C2×D5911yescharacteristic
925#380—591no—
926#380—591no—
927#379—591no—
928#379—591no—
929C4×C4⋊C4—591no—
930C4×C4⋊C4—591no—
931C4×C4⋊C4—591no—
932C4×C4⋊C4—591no—
933C4×C4⋊C4—591no—
934C4×C4⋊C4—591no—
935C4×C22⋊C4—591no—
936C4×C22⋊C4—591no—
937C4×C22⋊C4—591no—
938C4×C22⋊C4—591no—
939C4×C22⋊C4—591no—
940C4×C22⋊C4—591no—
941C4×C22⋊C4—591no—
942C4×C22⋊C4—591no—
943C4×C22⋊C4—591no—
944C4×C22⋊C4—591no—
945C4×C22⋊C4—591no—
946C4×C22⋊C4—591no—
947C4×C22⋊C4—591no—
948C4×C22⋊C4—591no—
949C4×C22⋊C4—591no—
950C4×C22⋊C4—591no—
951C4×C22⋊C4—591no—
952C4×C22⋊C4C2×D5911yescharacteristic
953#376—591no—
954#376—591no—
955C2×#95—591no—
956C2×#95—591no—
957C59#3457011yescharacteristic, complemented, Sylow
958C25—591no—
959C22×Q8—591no—
960C22×D4—591no—
961C22×D4—591no—
962C22×D4—591no—
963C22×D4—591no—
964C22×D4—591no—
965C22×D4—591no—
966C22×D4C22×D5911yescharacteristic
967C23×C4—591no—
968C23×C4—591no—
969C23×C4—591no—
970C23×C4—591no—
971C23×C4—591no—
972C23×C4—591no—
973C23×C4—591no—
974C23×C4—591no—
975C23×C4—591no—
976C23×C4—591no—
977C23×C4—591no—
978C23×C4—1184no—
979C23×C4—2362no—
980C23×C4—2362no—
981C23×C4C22×D5911yescharacteristic
982C22⋊Q8—1184no—
983#121—1184no—
984#120—1184no—
985#120—1184no—
986C4×Q8—2362no—
987C4×D4—1184no—
988C4×D4—1184no—
989C4×D4—2362no—
990C4×D4—2362no—
991C4×D4—2362no—
992C4×D4—2362no—
993C4×D4—2362no—
994#117—2362no—
995#117—2362no—
996C2×C4⋊C4—591no—
997C2×C4⋊C4—591no—
998C2×C4⋊C4—591no—
999C2×C4⋊C4—591no—
1000C2×C4⋊C4—591no—
1001C2×C4⋊C4—591no—
1002C2×C4⋊C4—591no—
1003C2×C4⋊C4—591no—
1004C2×C4⋊C4—591no—
1005C2×C4⋊C4—591no—
1006C2×C4⋊C4—591no—
1007C2×C4⋊C4—591no—
1008C2×C4⋊C4—591no—
1009C2×C4⋊C4—591no—
1010C2×C4⋊C4—591no—
1011C2×C4⋊C4—591no—
1012C2×C4⋊C4—591no—
1013C2×C4⋊C4—591no—
1014C2×C4⋊C4C22×D5911yescharacteristic
1015C2×C4⋊C4C22×D5911yescharacteristic
1016C2×C4⋊C4C22×D5911yescharacteristic
1017C2×C4⋊C4C22×D5911yescharacteristic
1018C2×C4⋊C4C22×D5911yescharacteristic
1019C2×C4⋊C4C22×D5911yescharacteristic
1020C2×C4⋊C4C22×D5911yescharacteristic
1021C2×C4⋊C4C22×D5911yescharacteristic
1022C2×C22⋊C4—591no—
1023C2×C22⋊C4—591no—
1024C2×C22⋊C4—591no—
1025C2×C22⋊C4—591no—
1026C2×C22⋊C4—591no—
1027C2×C22⋊C4—591no—
1028C2×C22⋊C4—591no—
1029C2×C22⋊C4—591no—
1030C2×C22⋊C4—591no—
1031C2×C22⋊C4—591no—
1032C2×C22⋊C4—591no—
1033C2×C22⋊C4—591no—
1034C2×C22⋊C4—591no—
1035C2×C22⋊C4—591no—
1036C2×C22⋊C4—591no—
1037C2×C22⋊C4—591no—
1038C2×C22⋊C4—591no—
1039C2×C22⋊C4—591no—
1040C2×C22⋊C4—591no—
1041C2×C22⋊C4—591no—
1042C2×C22⋊C4—591no—
1043C2×C22⋊C4—591no—
1044C2×C22⋊C4—591no—
1045C2×C22⋊C4—591no—
1046C2×C22⋊C4—591no—
1047C2×C22⋊C4—591no—
1048C2×C22⋊C4—591no—
1049C2×C22⋊C4—591no—
1050C2×C22⋊C4—591no—
1051C2×C22⋊C4—591no—
1052C2×C22⋊C4—591no—
1053C2×C22⋊C4—591no—
1054C2×C22⋊C4—591no—
1055C2×C22⋊C4—591no—
1056C2×C22⋊C4—591no—
1057C2×C22⋊C4—1184no—
1058C2×C22⋊C4—1184no—
1059C2×C22⋊C4C22×D5911yescharacteristic
1060C2×C22⋊C4C22×D5911yescharacteristic
1061C2×C22⋊C4C22×D5911yescharacteristic
1062C2×C22⋊C4C22×D5911yescharacteristic
1063C2×C22⋊C4C22×D5911yescharacteristic
1064C2×C22⋊C4C22×D5911yescharacteristic
1065C2×C22⋊C4C22×D5911yescharacteristic
1066C2×C22⋊C4C22×D5911yescharacteristic
1067C2×C22⋊C4C22×D5911yescharacteristic
1068C2×C22⋊C4C22×D5911yescharacteristic
1069C2×C22⋊C4C22×D5911yescharacteristic
1070C2×C42—591no—
1071C2×C42—591no—
1072C2×C42—591no—
1073C2×C42—591no—
1074C2×C42—591no—
1075C2×C42—591no—
1076C2×C42—591no—
1077C2×C42—591no—
1078C2×C42—591no—
1079C2×C42—591no—
1080C2×C42—591no—
1081C2×C42—591no—
1082C2×C42—2362no—
1083C2×C42—2362no—
1084C2×C42C22×D5911yescharacteristic
1085C2×C42C22×D5911yescharacteristic
1086#95—591no—
1087#95—591no—
1088#95—591no—
1089#95—591no—
1090#95—591no—
1091#95—591no—
1092#95—591no—
1093#95—591no—
1094#95—591no—
1095#95—591no—
1096#95—591no—
1097#95—591no—
1098#95—591no—
1099#95—591no—
1100#95—591no—
1101#95—591no—
1102#95—591no—
1103#95—591no—
1104#95—591no—
1105#95—591no—
1106#95—591no—
1107#95—591no—
1108#95—591no—
1109#95—591no—
1110#95—591no—
1111#95—591no—
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#95C22×D5911yescharacteristic
1123#95C22×D5911yescharacteristic
1124#95C22×D5911yescharacteristic
1125#95C22×D5911yescharacteristic
1126#95C22×D5911yescharacteristic
1127#95C22×D5911yescharacteristic
1128#95C22×D5911yescharacteristic
1129#95C22×D5911yescharacteristic
1130#95C22×D5911yescharacteristic
1131#95C22×D5911yescharacteristic
1132#95C22×D5911yescharacteristic
1133#95C22×D5911yescharacteristic
1134C24—591no—
1135C24—591no—
1136C24—594no—
1137C24—591no—
1138C24—1182no—
1139C24—1182no—
1140C24—2361no—
1141C24—2361no—
1142C24—2361no—
1143C24—2361no—
1144C24C23×D5911yescharacteristic
1145C24C23×D5911yescharacteristic
1146C2×Q8—1182no—
1147C2×Q8—2361no—
1148C2×Q8—2361no—
1149C2×D4—22no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—1182no—
1153C2×D4—1182no—
1154C2×D4—1182no—
1155C2×D4—1182no—
1156C2×D4—1182no—
1157C2×D4—1182no—
1158C2×D4—1182no—
1159C2×D4—1182no—
1160C2×D4—1182no—
1161C2×D4—1182no—
1162C2×D4—2361no—
1163C2×D4—2361no—
1164C2×D4—2361no—
1165C2×D4—2361no—
1166C2×D4—2361no—
1167C2×D4—2361no—
1168C2×D4—2361no—
1169C2×D4—2361no—
1170C22×C4—22no—
1171C22×C4—41no—
1172C22×C4—41no—
1173C22×C4—591no—
1174C22×C4—591no—
1175C22×C4—594no—
1176C22×C4—594no—
1177C22×C4—591no—
1178C22×C4—591no—
1179C22×C4—591no—
1180C22×C4—591no—
1181C22×C4—591no—
1182C22×C4—591no—
1183C22×C4—591no—
1184C22×C4—591no—
1185C22×C4—591no—
1186C22×C4—591no—
1187C22×C4—591no—
1188C22×C4—1182no—
1189C22×C4—1182no—
1190C22×C4—1182no—
1191C22×C4—1182no—
1192C22×C4—1182no—
1193C22×C4—1182no—
1194C22×C4—1182no—
1195C22×C4—1182no—
1196C22×C4—1182no—
1197C22×C4—1182no—
1198C22×C4—1182no—
1199C22×C4—1182no—
1200C22×C4—1182no—
1201C22×C4—1182no—
1202C22×C4—1182no—
1203C22×C4—1182no—
1204C22×C4—1182no—
1205C22×C4—1182no—
1206C22×C4—1182no—
1207C22×C4—2361no—
1208C22×C4—2361no—
1209C22×C4—2361no—
1210C22×C4—2361no—
1211C22×C4—2361no—
1212C22×C4—2361no—
1213C22×C4—2361no—
1214C22×C4—2361no—
1215C22×C4—2361no—
1216C22×C4—2361no—
1217C22×C4—2361no—
1218C22×C4—2361no—
1219C22×C4—23616no—
1220C22×C4C23×D5911yescharacteristic
1221C22×C4C23×D5911yescharacteristic
1222C22×C4C23×D5911yescharacteristic
1223C22×C4C23×D5911yescharacteristic
1224C22×C4C23×D5911yescharacteristic
1225C22×C4C23×D5911yescharacteristic
1226C22×C4C23×D5911yescharacteristic
1227C22×C4C23×D5911yescharacteristic
1228C22×C4C23×D5911yescharacteristic
1229C22×C4C23×D5911yescharacteristic
1230C22×C4C23×D5911yescharacteristic
1231C22×C4C23×D5911yescharacteristic
1232C22×C4C23×D5911yescharacteristic
1233C4⋊C4—22no—
1234C4⋊C4—22no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—1182no—
1242C4⋊C4—1182no—
1243C4⋊C4—1182no—
1244C4⋊C4—1182no—
1245C4⋊C4—2361no—
1246C4⋊C4—2361no—
1247C4⋊C4—2361no—
1248C4⋊C4—2361no—
1249C4⋊C4—2361no—
1250C4⋊C4—2361no—
1251C4⋊C4—2361no—
1252C4⋊C4—2361no—
1253C4⋊C4—2361no—
1254C4⋊C4—2361no—
1255C4⋊C4—2361no—
1256C4⋊C4—2361no—
1257C4⋊C4—2361no—
1258C4⋊C4—2361no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—1182no—
1271C22⋊C4—1182no—
1272C22⋊C4—1182no—
1273C22⋊C4—1182no—
1274C22⋊C4—1182no—
1275C22⋊C4—1182no—
1276C22⋊C4—1182no—
1277C22⋊C4—1182no—
1278C22⋊C4—1182no—
1279C22⋊C4—1182no—
1280C22⋊C4—1182no—
1281C22⋊C4—1182no—
1282C22⋊C4—1182no—
1283C22⋊C4—1182no—
1284C22⋊C4—1182no—
1285C22⋊C4—1182no—
1286C22⋊C4—1182no—
1287C22⋊C4—2361no—
1288C22⋊C4—2361no—
1289C22⋊C4—2361no—
1290C22⋊C4—2361no—
1291C22⋊C4—2361no—
1292C22⋊C4—2361no—
1293C22⋊C4—2361no—
1294C22⋊C4—2361no—
1295C22⋊C4—2361no—
1296C22⋊C4—2361no—
1297C22⋊C4—2361no—
1298C22⋊C4—2361no—
1299C22⋊C4—2361no—
1300C22⋊C4—2361no—
1301C22⋊C4—2361no—
1302C22⋊C4—2361no—
1303C22⋊C4—2361no—
1304C22⋊C4—2361no—
1305C42—41no—
1306C42—41no—
1307C42—1182no—
1308C42—1182no—
1309C42—1182no—
1310C42—1182no—
1311C42—1182no—
1312C42—1182no—
1313C42—1182no—
1314C42—1182no—
1315C42—1182no—
1316C42—1182no—
1317C42—2361no—
1318C42—2361no—
1319C23—21no—
1320C23—21no—
1321C23—21no—
1322C23—21no—
1323C23—21no—
1324C23—21no—
1325C23—21no—
1326C23—21no—
1327C23—21no—
1328C23—21no—
1329C23—21no—
1330C23—21no—
1331C23—21no—
1332C23—592no—
1333C23—592no—
1334C23—592no—
1335C23—592no—
1336C23—1188no—
1337C23—1181no—
1338C23—1181no—
1339C23—1181no—
1340C23—1181no—
1341C23—1181no—
1342C23—1181no—
1343C23—1181no—
1344C23—1181no—
1345C23—1181no—
1346C23—1181no—
1347C23—1181no—
1348C23—1181no—
1349C23—1181no—
1350C23—1181no—
1351C23—1181no—
1352C23—1181no—
1353C23—1181no—
1354C23—2364no—
1355C23—2364no—
1356C23—2364no—
1357C23—2364no—
1358C23—2364no—
1359C23—2364no—
1360C23#41×D5912yes—
1361C23C24×D5911yescharacteristic
1362Q8—2364no—
1363D4—44no—
1364D4—2364no—
1365D4—2364no—
1366D4—2364no—
1367D4—2364no—
1368D4—2364no—
1369D4—2364no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—44no—
1408C2×C4—592no—
1409C2×C4—592no—
1410C2×C4—592no—
1411C2×C4—592no—
1412C2×C4—1188no—
1413C2×C4—1181no—
1414C2×C4—1181no—
1415C2×C4—1181no—
1416C2×C4—1181no—
1417C2×C4—1181no—
1418C2×C4—1181no—
1419C2×C4—1181no—
1420C2×C4—1181no—
1421C2×C4—1181no—
1422C2×C4—1181no—
1423C2×C4—1181no—
1424C2×C4—1181no—
1425C2×C4—1181no—
1426C2×C4—1181no—
1427C2×C4—1181no—
1428C2×C4—1181no—
1429C2×C4—1181no—
1430C2×C4—1181no—
1431C2×C4—1181no—
1432C2×C4—1181no—
1433C2×C4—1181no—
1434C2×C4—1181no—
1435C2×C4—1181no—
1436C2×C4—1181no—
1437C2×C4—1181no—
1438C2×C4—1181no—
1439C2×C4—1181no—
1440C2×C4—1181no—
1441C2×C4—1181no—
1442C2×C4—1181no—
1443C2×C4—1181no—
1444C2×C4—1181no—
1445C2×C4—1181no—
1446C2×C4—1181no—
1447C2×C4—1181no—
1448C2×C4—2364no—
1449C2×C4—2364no—
1450C2×C4—2364no—
1451C2×C4—2364no—
1452C2×C4—2364no—
1453C2×C4—2364no—
1454C2×C4—2364no—
1455C2×C4—2364no—
1456C2×C4—2364no—
1457C2×C4—2364no—
1458C2×C4#41×D5912yes—
1459C2×C4#41×D5912yes—
1460C22—22no—
1461C22—22no—
1462C22—22no—
1463C22—41no—
1464C22—41no—
1465C22—41no—
1466C22—41no—
1467C22—41no—
1468C22—41no—
1469C22—41no—
1470C22—41no—
1471C22—41no—
1472C22—41no—
1473C22—41no—
1474C22—594no—
1475C22—1182no—
1476C22—1182no—
1477C22—1182no—
1478C22—1182no—
1479C22—1182no—
1480C22—1182no—
1481C22—1182no—
1482C22—1182no—
1483C22—1182no—
1484C22—23616no—
1485C22—2361no—
1486C22—2361no—
1487C22—2361no—
1488C22—2361no—
1489C22—2361no—
1490C22—2361no—
1491C22—2361no—
1492C22—2361no—
1493C22—2361no—
1494C22—2361no—
1495C22—2361no—
1496C22C2×#41×D5911yescharacteristic
1497C22C2×#41×D5911yescharacteristic
1498C22C2×#41×D5911yescharacteristic
1499C22H(5,𝔽2)×D5911yescharacteristic
1500C22H(5,𝔽2)×D5911yescharacteristic
1501C22#1683823711yescharacteristic
1502C22#1683823911yescharacteristic
1503C4—22no—
1504C4—22no—
1505C4—41no—
1506C4—41no—
1507C4—41no—
1508C4—41no—
1509C4—41no—
1510C4—41no—
1511C4—41no—
1512C4—41no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—594no—
1517C4—1182no—
1518C4—2361no—
1519C4—2361no—
1520C4—2361no—
1521C4—2361no—
1522C4—2361no—
1523C4—2361no—
1524C4—2361no—
1525C4—2361no—
1526C4—2361no—
1527C4—2361no—
1528C4—2361no—
1529C2—42no—
1530C2—81no—
1531C2—1184no—
1532C2—4721no—
1533C2—2362no—
1534C2#529×D5911yescharacteristic
1535C2#538×D5911yescharacteristic
1536C2#2143748311yescharacteristic
1537C2#2143750411yescharacteristic
1538C2#2143750411yescharacteristic
1539C2#2143750711yescharacteristic
1540C2#2143751111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2649C2
prime radical#21429835C2
hypercenter#2649D59
hypocenterC59#34570
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2649

Complements

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

NH ≅ G/Ntype
1. #21430163C2semidirect
2. #21430153C2semidirect
3. #21430144C2semidirect
4. #21430142C2semidirect
5. #21430105C2semidirect
6. #21430086C2semidirect
7. #21430080C2semidirect
8. #21430067C2semidirect
9. #21430053C2semidirect
10. #21430050C2semidirect
11. #21430023C2semidirect
12. #21429902C2semidirect
13. #21429870C2semidirect
14. #21429868C2semidirect
16. #21427395C2semidirect
17. #21427393C2semidirect
18. #21427385C2semidirect
19. #21427384C2semidirect
20. #21427361C2semidirect
21. #21427354C2semidirect
22. #21427341C2semidirect
23. #21427339C2semidirect
24. #21426626C2semidirect
25. #21426608C2semidirect
26. #21426601C2semidirect
27. #21426597C2semidirect
28. #21426538C2semidirect
29. #21426534C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2649C2semidirect
37. C2×#14273692C22semidirect
44. C2×(C22⋊D59)⋊C4C22semidirect
45. C2×#14273685C22semidirect
46. C2×#14273683C22semidirect
51. C59⋊#401C22semidirect
52. C59⋊#401C22semidirect
53. #16837344C22semidirect
54. #16837344C22semidirect
55. #16837343C22semidirect
56. #16837343C22semidirect
57. #16837342C22semidirect
58. #16837342C22semidirect
59. #16837341C22semidirect
60. #16837340C22semidirect
61. #16837340C22semidirect
62. #16837340C22semidirect
64. #16837336C22semidirect
65. #16837336C22semidirect
66. #16837335C22semidirect
67. #16837334C22semidirect
71. #16837331C22semidirect
72. #16837331C22semidirect
76. #16837330C22semidirect
77. #16837330C22semidirect
78. #16837330C22semidirect
81. #16837328C22semidirect
82. #16837328C22semidirect
88. #16837324C22semidirect
96. #16837318C22semidirect
97. #16837318C22semidirect
102. #16837315C22semidirect
104. #16837314C22semidirect
107. #16837308C22semidirect
108. #16837302C22semidirect
109. #16837297C22semidirect
110. #16837295C22semidirect
111. #16837293C22semidirect
112. #16837293C22semidirect
113. #16837291C22semidirect
114. #16837288C22semidirect
115. #16837286C22semidirect
116. #16837285C22semidirect
117. #16837285C22semidirect
118. #16837284C22semidirect
145. C4⋊C4×Dic59C22semidirect
146. C4⋊C4×Dic59C22semidirect
147. C4⋊C4×Dic59C22semidirect
148. C4⋊C4×Dic59C22semidirect
149. #16837253C22semidirect
150. #16837253C22semidirect
155. C22⋊C4×Dic59C22semidirect
156. C22⋊C4×Dic59C22semidirect
166. #16837249C22semidirect
167. #16837249C22semidirect
168. #16837247C22semidirect
169. #16837247C22semidirect
172. C59×#400C22semidirect
173. C59×#400C22semidirect
176. C59×#397C22semidirect
177. C59×#396C22semidirect
180. C59×#389C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
183. C59×#387C22semidirect
764. #2649D59semidirect
833. #400C2×D59semidirect
834. #400C2×D59semidirect
858. #397C2×D59semidirect
864. #396C2×D59semidirect
888. #389C2×D59semidirect
893. #388C2×D59semidirect
894. #388C2×D59semidirect
900. #387C2×D59semidirect
957. C59#34570semidirect

Maximal subgroups

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

subgroupindex
#214301632
#214301532
#214301442
#214301422
#214301052
#214300862
#214300802
#214300672
#214300532
#214300502
#214300232
#214299022
#214298702
#214298682
#214298352
#214273952
#214273932
#214273852
#214273842
#214273612
#214273542
#214273412
#214273392
#214266262
#214266082
#214266012
#214265972
#214265382
#214265342
C4×C22⋊C4×D592
C59×#26492
#3457059