Finite Group Databasebeta

← #28754032

Subgroups — #28754032

Order 15104.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838048C211yesmaximal, characteristic
2#21427259C211yesmaximal, characteristic, complemented
3#21427255C211yesmaximal, characteristic, complemented
4#21427241C211yesmaximal, characteristic, complemented
5#21427233C211yesmaximal, characteristic, complemented
6#21427206C211yesmaximal, characteristic, complemented
7#21427140C211yesmaximal, characteristic, complemented
8#21427129C211yesmaximal, characteristic, complemented
9#21427083C211yesmaximal, characteristic, complemented
10#21427077C211yesmaximal, characteristic, complemented
11#21427037C211yesmaximal, characteristic, complemented
12#21427036C211yesmaximal, characteristic, complemented
13#21426944C211yesmaximal, characteristic, complemented
14#21426940C211yesmaximal, characteristic, complemented
15#21426920C211yesmaximal, characteristic, complemented
16#21426916C211yesmaximal, characteristic, complemented
17#21426909C211yesmaximal, characteristic, complemented
18#21426889C211yesmaximal, characteristic, complemented
19#21426859C211yesmaximal, characteristic, complemented
20#21426849C211yesmaximal, characteristic, complemented
21#21426796C211yesmaximal, characteristic, complemented
22#21426760C211yesmaximal, characteristic, complemented
23#21426755C211yesmaximal, characteristic, complemented
24#21426755C211yesmaximal, characteristic, complemented
25#21426690C211yesmaximal, characteristic, complemented
26#21426685C211yesmaximal, characteristic, complemented
27#21426673C211yesmaximal, characteristic, complemented
28#21426608C211yesmaximal, characteristic, complemented
29#21426537C211yesmaximal, characteristic, complemented
30#388×D59C211yesmaximal, characteristic, complemented
31C59×#2319C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C23×D236C2211yescharacteristic
34#16838048C4116yescomplemented
35C2×#14273715C2211yescharacteristic
36C2×#14273712C2211yescharacteristic
37C2×#14273712C2211yescharacteristic
38C2×#14273706C2211yescharacteristic
39C2×#14273701C2211yescharacteristic
40C2×#14273700C2211yescharacteristic
41C2×#14273700C2211yescharacteristic
42C2×#14273695C2211yescharacteristic
43C2×#14273695C2211yescharacteristic
44C2×C4×D236C2211yescharacteristic
45C2×#14273689C2211yescharacteristic
46C2×#14273689C2211yescharacteristic
47C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
48C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
49C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
50C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
51C2×#14273685C2211yescharacteristic, complemented
52C2×#14273684C2211yescharacteristic, complemented
53C2×C4⋊C4×D59C2211yescharacteristic, complemented
54C2×C22⋊C4×D59C2211yescharacteristic
55C2×C22⋊C4×D59C2211yescharacteristic
56C2×C22⋊C4×D59C2211yescharacteristic
57C2×C22⋊C4×D59C2211yescharacteristic
58C2×C22⋊C4×D59C2211yescharacteristic
59C2×C22⋊C4×D59C2211yescharacteristic
60C2×C42×D59C2211yescharacteristic, complemented
61#16837306C2211yescharacteristic, complemented
62#16837306C2211yescharacteristic, complemented
63#16837306C2211yescharacteristic, complemented
64#16837306C2211yescharacteristic, complemented
65#16837303C2211yescharacteristic
66#16837303C2211yescharacteristic
67#16837302C2211yescharacteristic, complemented
68#16837302C2211yescharacteristic, complemented
69#16837302C2211yescharacteristic, complemented
70#16837302C2211yescharacteristic, complemented
71#16837297C2211yescharacteristic, complemented
72#16837297C2211yescharacteristic, complemented
73#16837296C2211yescharacteristic
74#16837296C2211yescharacteristic
75#16837296C2211yescharacteristic
76#16837296C2211yescharacteristic
77#16837295C2211yescharacteristic
78#16837295C2211yescharacteristic
79#16837294C2211yescharacteristic, complemented
80#16837294C2211yescharacteristic, complemented
81#16837293C2211yescharacteristic, complemented
82#16837293C2211yescharacteristic, complemented
83#16837293C2211yescharacteristic, complemented
84#16837293C2211yescharacteristic, complemented
85#16837293C2211yescharacteristic, complemented
86#16837293C2211yescharacteristic, complemented
87#16837292C2211yescharacteristic, complemented
88#16837292C2211yescharacteristic, complemented
89#16837292C2211yescharacteristic, complemented
90#16837292C2211yescharacteristic, complemented
91#16837292C2211yescharacteristic, complemented
92#16837292C2211yescharacteristic, complemented
93#16837291C2211yescharacteristic, complemented
94#16837291C2211yescharacteristic, complemented
95#16837290C2211yescharacteristic
96#16837290C2211yescharacteristic
97#16837290C2211yescharacteristic
98#16837290C2211yescharacteristic
99#16837288C2211yescharacteristic, complemented
100#16837288C2211yescharacteristic, complemented
101#16837285C2211yescharacteristic, complemented
102#16837285C2211yescharacteristic, complemented
103#16837285C2211yescharacteristic, complemented
104#16837285C2211yescharacteristic, complemented
105#16837284C2211yescharacteristic, complemented
106#16837284C2211yescharacteristic, complemented
107#16837283C2211yescharacteristic, complemented
108#16837283C2211yescharacteristic, complemented
109#16837282C2211yescharacteristic
110#16837282C2211yescharacteristic
111#16837280C2211yescharacteristic
112#16837280C2211yescharacteristic
113#16837280C2211yescharacteristic
114#16837280C2211yescharacteristic
115#16837280C2211yescharacteristic
116#16837280C2211yescharacteristic
117#16837280C2211yescharacteristic
118#16837280C2211yescharacteristic
119#16837280C2211yescharacteristic
120#16837280C2211yescharacteristic
121#16837280C2211yescharacteristic
122#16837280C2211yescharacteristic
123#16837279C2211yescharacteristic, complemented
124#16837279C2211yescharacteristic, complemented
125#16837279C2211yescharacteristic, complemented
126#16837279C2211yescharacteristic, complemented
127#16837278C2211yescharacteristic, complemented
128#16837278C2211yescharacteristic, complemented
129#16837278C2211yescharacteristic, complemented
130#16837278C2211yescharacteristic, complemented
131#16837276C2211yescharacteristic, complemented
132#16837276C2211yescharacteristic, complemented
133#16837273C2211yescharacteristic, complemented
134#16837273C2211yescharacteristic, complemented
135#16837273C2211yescharacteristic, complemented
136#16837273C2211yescharacteristic, complemented
137#16837273C2211yescharacteristic, complemented
138#16837273C2211yescharacteristic, complemented
139#16837270C2211yescharacteristic, complemented
140#16837265C2211yescharacteristic
141#16837264C2211yescharacteristic, complemented
142#16837264C2211yescharacteristic, complemented
143#16837262C2211yescharacteristic, complemented
144#16837261C2211yescharacteristic, complemented
145#16837261C2211yescharacteristic, complemented
146#16837259C2211yescharacteristic, complemented
147#16837259C2211yescharacteristic, complemented
148#16837257C2211yescharacteristic
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151#16837257C2211yescharacteristic
152#16837253C2211yescharacteristic, complemented
153#16837253C2211yescharacteristic, complemented
154C22⋊C4×Dic59C2211yescharacteristic, complemented
155C22⋊C4×Dic59C2211yescharacteristic, complemented
156C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
157C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
158C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
159C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
160C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
161C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
164C4×C22⋊Dic59C2211yescharacteristic
165#16837249C2211yescharacteristic, complemented
166#16837249C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169#16837248C2211yescharacteristic, complemented
170C2×C59⋊#95C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173C2×C4×D4×C59C2211yescharacteristic
174C59×#390C2211yescharacteristic
175C59×#390C2211yescharacteristic
176C59×#389C2211yescharacteristic, complemented
177C59×#389C2211yescharacteristic, complemented
178C59×#388C2211yescharacteristic
179C59×#388C2211yescharacteristic
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#381C2211yescharacteristic
183C59×#381C2211yescharacteristic, complemented
184C59×#380C2211yescharacteristic
185C59×#380C2211yescharacteristic, complemented
186C4×C4⋊C4×C59C2211yescharacteristic, complemented
187C59×#376C2211yescharacteristic, complemented
188C24×D59C2311yescharacteristic
189C24×D59C2311yescharacteristic
190C2×#11745685—42no—
191C2×#11745685—42no—
192C2×#11745685C2×C418yescomplemented
193C22×Dic118C2311yescharacteristic
194C22×D236—42no—
195C22×D236—42no—
196C22×D236C2×C418yescomplemented
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
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#14273715C2×C418yescomplemented
220#14273712C2×C418yescomplemented
221#14273712C2×C418yescomplemented
222#14273706C2×C418yescomplemented
223#14273701C2×C418yescomplemented
224#14273700C2×C418yescomplemented
225#14273700C2×C418yescomplemented
226#14273695C2×C418yescomplemented
227#14273695C2×C418yescomplemented
228C4×D236C2×C418yescomplemented
229#14273689—42no—
230#14273689—42no—
231(C22⋊D59)⋊C4—42no—
232(C22⋊D59)⋊C4—42no—
233(C22⋊D59)⋊C4—42no—
234(C22⋊D59)⋊C4—42no—
235#14273685—42no—
236#14273684—42no—
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
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
250C4⋊C4×D59—42no—
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
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
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
291C22⋊C4×D59—42no—
292C22⋊C4×D59—42no—
293C22⋊C4×D59—42no—
294C22⋊C4×D59—42no—
295C22⋊C4×D59C2×C418yescomplemented
296C22⋊C4×D59C2×C418yescomplemented
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C42×D59—42no—
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
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C22×D4×C59C2311yescharacteristic
341C23×C4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343C4×D4×C59C2×C418yescomplemented
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C42×C59C2311yescharacteristic
362C2×C42×C59C2311yescharacteristic
363C2×C42×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365C2×C42×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
375#95×C59C2311yescharacteristic
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C23×D59—22no—
379C23×D59—22no—
380C23×D59—41no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59—41no—
386C23×D59—41no—
387C23×D59—41no—
388C23×D59—41no—
389C23×D59—41no—
390C23×D59C22×C414yes—
391C23×D59C22×C414yes—
392C23×D59C2411yescharacteristic
393C23×D59C2411yescharacteristic
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C2×D4×C59C22×C414yes—
399C22×C4×C59—41no—
400C22×C4×C59—41no—
401C22×C4×C59—41no—
402C22×C4×C59—41no—
403C22×C4×C59C22×C414yes—
404C22×C4×C59C22×C414yes—
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
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⋊D59C22×C414yes—
427C2×C22⋊D59C22×C414yes—
428C2×C22⋊D59C22×C414yes—
429C2×C22⋊D59C22×C414yes—
430C22×Dic59—22no—
431C22×Dic59—41no—
432C22×Dic59—41no—
433C22×Dic59—41no—
434C22×Dic59—41no—
435C22×Dic59—41no—
436C22×Dic59C2411yescharacteristic
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448#11745685—416no—
449C2×D236—22no—
450C2×D236—22no—
451C2×D236—22no—
452C2×D236—22no—
453C2×D236—416no—
454C2×D236—41no—
455C2×D236—41no—
456C2×D236—41no—
457C2×D236—41no—
458C2×D236C22×C414yes—
459C2×D236C22×C414yes—
460C2×D236C22×C414yes—
461C2×D236C22×C414yes—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
466C2×C4×D59—22no—
467C2×C4×D59—22no—
468C2×C4×D59—22no—
469C2×C4×D59—22no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—41no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59—41no—
489C2×C4×D59—41no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×C4×D59—41no—
493C2×C4×D59—41no—
494C2×C4×D59C22×C414yes—
495C2×C4×D59C22×C414yes—
496C2×C4×D59C22×C414yes—
497C2×C4×D59C22×C414yes—
498C2×Dic118—41no—
499C2×Dic118—41no—
500C2×Dic118C22×C414yes—
501C4⋊C4×C59—41no—
502C4⋊C4×C59—41no—
503C4⋊C4×C59—41no—
504C4⋊C4×C59—41no—
505C4⋊C4×C59—41no—
506C4⋊C4×C59—41no—
507C4⋊C4×C59C22×C414yes—
508C22⋊C4×C59—41no—
509C22⋊C4×C59—41no—
510C22⋊C4×C59—41no—
511C22⋊C4×C59—41no—
512C22⋊C4×C59—41no—
513C22⋊C4×C59—41no—
514C22⋊C4×C59—41no—
515C22⋊C4×C59—41no—
516C22⋊C4×C59C22×C414yes—
517C22⋊C4×C59C22×C414yes—
518C42×C59—41no—
519C42×C59—41no—
520C42×C59—41no—
521C42×C59—41no—
522C42×C59C22×C414yes—
523C22⋊Dic59—22no—
524C22⋊Dic59—41no—
525C22⋊Dic59—41no—
526C22⋊Dic59—41no—
527C22⋊Dic59—41no—
528C22⋊Dic59—41no—
529C22⋊Dic59C22×C414yes—
530C22⋊Dic59C22×C414yes—
531(C2×D59)⋊C4—22no—
532(C2×D59)⋊C4—22no—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—41no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊C4—41no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4—41no—
552(C2×D59)⋊C4—41no—
553(C2×D59)⋊C4—41no—
554(C2×D59)⋊C4—41no—
555(C2×D59)⋊C4C22×C414yes—
556(C2×D59)⋊C4C22×C414yes—
557(C2×D59)⋊C4C22×C414yes—
558(C2×D59)⋊C4C22×C414yes—
559(C2×D59)⋊C4C22×C414yes—
560(C2×D59)⋊C4C22×C414yes—
561(C2×D59)⋊C4C22×C414yes—
562(C2×D59)⋊C4C22×C414yes—
563C4⋊Dic59—41no—
564C4⋊Dic59—41no—
565C4⋊Dic59C22×C414yes—
566Dic59⋊C4—22no—
567Dic59⋊C4—41no—
568Dic59⋊C4—41no—
569Dic59⋊C4—41no—
570Dic59⋊C4—41no—
571Dic59⋊C4—41no—
572Dic59⋊C4—41no—
573Dic59⋊C4—41no—
574Dic59⋊C4C22×C414yes—
575Dic59⋊C4C22×C414yes—
576C4×Dic59—22no—
577C4×Dic59—22no—
578C4×Dic59—41no—
579C4×Dic59—41no—
580C4×Dic59—41no—
581C4×Dic59—41no—
582C4×Dic59—41no—
583C4×Dic59—41no—
584C4×Dic59—41no—
585C4×Dic59—41no—
586C4×Dic59—41no—
587C4×Dic59—41no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59C23×C412yes—
601C23×C59C23×C412yes—
602C23×C59C2511yescharacteristic
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
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—28no—
626C22×D59—44no—
627C22×D59—44no—
628C22×D59—44no—
629C22×D59—44no—
630C22×D59—44no—
631C22×D59—82no—
632C22×D59—82no—
633C22×D59—82no—
634C22×D59—82no—
635C22×D59—82no—
636C22×D59—82no—
637C22×D59—82no—
638C22×D59—82no—
639C22×D59C23×C412yes—
640C22×D59C23×C412yes—
641C22×D59C23×C412yes—
642C22×D59C23×C412yes—
643C22×D59H(5,𝔽2)12yes—
644C22×D59H(5,𝔽2)12yes—
645D4×C59—44no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
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—44no—
681C2×C4×C59—44no—
682C2×C4×C59C23×C412yes—
683C2×C4×C59C23×C412yes—
684C2×C4×C59C23×C412yes—
685C2×C4×C59C23×C412yes—
686C2×C4×C59C23×C412yes—
687C22⋊D59—28no—
688C22⋊D59—44no—
689C22⋊D59—44no—
690C22⋊D59—44no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
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—82no—
723C2×Dic59—82no—
724C2×Dic59C23×C412yes—
725C2×Dic59C23×C412yes—
726C2×Dic59C23×C412yes—
727C2×Dic59C23×C412yes—
728C2×Dic59H(5,𝔽2)12yes—
729D236—28no—
730D236—28no—
731D236—44no—
732D236—44no—
733C4×D59—28no—
734C4×D59—44no—
735C4×D59—44no—
736C4×D59—44no—
737C4×D59—44no—
738C4×D59—44no—
739C4×D59—82no—
740C4×D59—82no—
741C4×D59—82no—
742C4×D59—82no—
743C4×D59—82no—
744C4×D59—82no—
745Dic118—44no—
746#34492—591nomaximal, Sylow
747C22×C59—22no—
748C22×C59—22no—
749C22×C59—22no—
750C22×C59—22no—
751C22×C59—22no—
752C22×C59—22no—
753C22×C59—41no—
754C22×C59—41no—
755C22×C59—41no—
756C22×C59—41no—
757C22×C59—41no—
758C22×C59—41no—
759C22×C59—41no—
760C22×C59—41no—
761C22×C59C24×C411yescharacteristic
762C22×C59C2×H(5,𝔽2)11yescharacteristic
763C22×C59C2×H(5,𝔽2)11yescharacteristic
764C22×C59C2×H(5,𝔽2)11yescharacteristic
765C22×C59#58511yescharacteristic
766C22×C59#58511yescharacteristic
767C22×C59#58511yescharacteristic
768C2×D59—22no—
769C2×D59—22no—
770C2×D59—22no—
771C2×D59—22no—
772C2×D59—22no—
773C2×D59—22no—
774C2×D59—22no—
775C2×D59—22no—
776C2×D59—22no—
777C2×D59—22no—
778C2×D59—22no—
779C2×D59—22no—
780C2×D59—22no—
781C2×D59—22no—
782C2×D59—22no—
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
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—88no—
796C2×D59—88no—
797C2×D59#51814yes—
798C4×C59—22no—
799C4×C59—22no—
800C4×C59—22no—
801C4×C59—22no—
802C4×C59—22no—
803C4×C59—41no—
804C4×C59—41no—
805C4×C59—41no—
806C4×C59—41no—
807C4×C59—41no—
808C4×C59—41no—
809C4×C59—41no—
810C4×C59—41no—
811Dic59—22no—
812Dic59—22no—
813Dic59—22no—
814Dic59—22no—
815Dic59—22no—
816Dic59—41no—
817Dic59—41no—
818Dic59—41no—
819Dic59—41no—
820Dic59—41no—
821Dic59—41no—
822Dic59—41no—
823C2×#546—591no—
824#2378—591no—
825#2377—591no—
826#2376—591no—
827#2375—591no—
828#2372—591no—
829#2364—591no—
830#2363—591no—
831#2359—591no—
832#2358—591no—
833#2353—591no—
834#2353—591no—
835#2342—591no—
836#2342—591no—
837#2339—591no—
838D4×C22⋊C4—591no—
839#2337—591no—
840#2335—591no—
841#2333—591no—
842#2332—591no—
843#2325—591no—
844#2322—591no—
845#2321—591no—
846#2321—591no—
847#2319D5911yescharacteristic, complemented
848#2312—591no—
849#2311—591no—
850#2308—591no—
851C4×#121—591no—
852#2290—591no—
853C2×#388—591no—
854C2×C59—42no—
855C2×C59—42no—
856C2×C59C2×#51811yescharacteristic
857C2×C59#342811yescharacteristic
858C2×C59C4×H(5,𝔽2)11yescharacteristic
859C2×C59#353411yescharacteristic
860C2×C59#354211yescharacteristic
861C2×C59#354511yescharacteristic
862C2×C59#356011yescharacteristic
863D59—24no—
864D59—42no—
865D59—42no—
866D59—42no—
867C22×#41—591no—
868C23×D4—591no—
869#546—5916no—
870C2×#124—591no—
871C2×#123—591no—
872C2×#123—591no—
873C2×C22⋊Q8—591no—
874C2×#121—591no—
875C2×#121—591no—
876C2×#121—591no—
877C2×#120—591no—
878C2×#120—591no—
879C2×C4×D4—591no—
880C2×C4×D4—591no—
881C2×C4×D4—591no—
882C2×C4×D4—591no—
883C2×C4×D4—591no—
884C2×C4×D4—591no—
885C2×C4×D4—591no—
886C2×C4×D4C2×D5911yescharacteristic
887C2×#117—591no—
888C2×#117—591no—
889C22×C4⋊C4—591no—
890C22×C22⋊C4—591no—
891C22×C22⋊C4—591no—
892C22×C22⋊C4—591no—
893C22×C22⋊C4—591no—
894C22×C22⋊C4—591no—
895C22×C22⋊C4—591no—
896C22×C42—591no—
897#391—591no—
898#391—591no—
899#391—591no—
900#391—591no—
901#390—591no—
902#390—591no—
903#390—591no—
904#390—591no—
905#390—591no—
906#390—591no—
907#390C2×D5911yescharacteristic
908#390C2×D5911yescharacteristic
909#389—591no—
910#389—591no—
911#389C2×D5911yescharacteristic, complemented
912#389C2×D5911yescharacteristic, complemented
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388—591no—
932#388—591no—
933#388—591no—
934#388—591no—
935#388—591no—
936#388—591no—
937#388—591no—
938#388—591no—
939#388C2×D5911yescharacteristic
940#388C2×D5911yescharacteristic
941#388C2×D5911yescharacteristic, complemented
942#388C2×D5911yescharacteristic, complemented
943#387—591no—
944#387—591no—
945#387—591no—
946#387—591no—
947#387—591no—
948#387—591no—
949#387—591no—
950#387—591no—
951#387—591no—
952#387—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386—591no—
959#386—591no—
960#386—591no—
961#386—591no—
962#386—591no—
963#386—591no—
964#386—591no—
965#386—591no—
966#386—591no—
967#386—591no—
968#386—591no—
969#386—591no—
970#386—591no—
971#386—591no—
972#386—591no—
973#386—591no—
974#386—591no—
975#385—591no—
976#385—591no—
977#385—591no—
978#385—591no—
979#385—591no—
980#385—591no—
981#385—591no—
982#385—591no—
983#383—591no—
984#381—591no—
985#381—591no—
986#381—591no—
987#381C2×D5911yescharacteristic
988#381C2×D5911yescharacteristic, complemented
989#380—591no—
990#380—591no—
991#380—591no—
992#380—591no—
993#380—591no—
994#380C2×D5911yescharacteristic
995#380C2×D5911yescharacteristic, complemented
996#379—591no—
997#379—591no—
998#379—591no—
999#379—591no—
1000C4×C4⋊C4—591no—
1001C4×C4⋊C4—591no—
1002C4×C4⋊C4C2×D5911yescharacteristic, complemented
1003C4×C22⋊C4—591no—
1004C4×C22⋊C4—591no—
1005C4×C22⋊C4—591no—
1006C4×C22⋊C4—591no—
1007C4×C22⋊C4—591no—
1008C4×C22⋊C4—591no—
1009C4×C22⋊C4—591no—
1010C4×C22⋊C4—591no—
1011C4×C22⋊C4—591no—
1012C4×C22⋊C4—591no—
1013C4×C22⋊C4—591no—
1014C4×C22⋊C4—591no—
1015C4×C22⋊C4—591no—
1016C4×C22⋊C4—591no—
1017C4×C22⋊C4—591no—
1018#376—591no—
1019#376C2×D5911yescharacteristic, complemented
1020C2×#95—591no—
1021C2×#95—591no—
1022C2×#95—591no—
1023C59#3449211yescharacteristic, complemented, Sylow
1024C25—591no—
1025C25—591no—
1026C2×#41—598no—
1027C2×#41—2362no—
1028C2×#41—2362no—
1029C22×Q8—591no—
1030C22×D4—591no—
1031C22×D4—591no—
1032C22×D4—591no—
1033C22×D4—591no—
1034C22×D4—598no—
1035C22×D4—591no—
1036C22×D4—591no—
1037C22×D4—591no—
1038C22×D4—591no—
1039C22×D4—2362no—
1040C22×D4—2362no—
1041C22×D4C22×D5911yescharacteristic
1042C23×C4—591no—
1043C23×C4—591no—
1044C23×C4—591no—
1045C23×C4—591no—
1046C23×C4—591no—
1047C23×C4—591no—
1048C23×C4—591no—
1049C23×C4—591no—
1050C23×C4—591no—
1051C23×C4—591no—
1052C23×C4—591no—
1053C23×C4—591no—
1054C23×C4—591no—
1055C23×C4—591no—
1056C23×C4C22×D5911yescharacteristic
1057C23×C4C22×D5911yescharacteristic
1058#124—598no—
1059#123—598no—
1060#123—598no—
1061C22⋊Q8—598no—
1062#121—598no—
1063#121—598no—
1064#121—598no—
1065#120—598no—
1066#120—598no—
1067C4×D4—598no—
1068C4×D4—2362no—
1069C4×D4—2362no—
1070C4×D4—2362no—
1071C4×D4—2362no—
1072C4×D4—2362no—
1073C4×D4—2362no—
1074C4×D4C4×D5918yescomplemented
1075#117—2362no—
1076#117—2362no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—591no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—2362no—
1091C2×C4⋊C4C22×D5911yescharacteristic
1092C2×C4⋊C4C22×D5911yescharacteristic
1093C2×C4⋊C4C22×D5911yescharacteristic
1094C2×C4⋊C4C22×D5911yescharacteristic
1095C2×C4⋊C4C22×D5911yescharacteristic
1096C2×C4⋊C4C22×D5911yescharacteristic
1097C2×C4⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—598no—
1109C2×C22⋊C4—598no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
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—2362no—
1141C2×C22⋊C4—2362no—
1142C2×C22⋊C4—2362no—
1143C2×C22⋊C4—2362no—
1144C2×C22⋊C4C22×D5911yescharacteristic
1145C2×C22⋊C4C22×D5911yescharacteristic
1146C2×C22⋊C4C22×D5911yescharacteristic
1147C2×C22⋊C4C22×D5911yescharacteristic
1148C2×C22⋊C4C22×D5911yescharacteristic
1149C2×C22⋊C4C22×D5911yescharacteristic
1150C2×C22⋊C4C22×D5911yescharacteristic
1151C2×C22⋊C4C22×D5911yescharacteristic
1152C2×C22⋊C4C22×D5911yescharacteristic
1153C2×C22⋊C4C22×D5911yescharacteristic
1154C2×C42—591no—
1155C2×C42—591no—
1156C2×C42—591no—
1157C2×C42—591no—
1158C2×C42—591no—
1159C2×C42—591no—
1160C2×C42—591no—
1161C2×C42—591no—
1162C2×C42—591no—
1163C2×C42—591no—
1164C2×C42—591no—
1165C2×C42—591no—
1166C2×C42—2362no—
1167C2×C42C22×D5911yescharacteristic
1168C2×C42C22×D5911yescharacteristic
1169C2×C42C22×D5911yescharacteristic
1170C2×C42C22×D5911yescharacteristic
1171C2×C42C22×D5911yescharacteristic
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95—591no—
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#95C22×D5911yescharacteristic
1203#95C22×D5911yescharacteristic
1204#95C22×D5911yescharacteristic
1205#95C22×D5911yescharacteristic
1206#95C22×D5911yescharacteristic
1207#95C22×D5911yescharacteristic
1208#95C22×D5911yescharacteristic
1209#95C22×D5911yescharacteristic
1210#95C22×D5911yescharacteristic
1211#95C22×D5911yescharacteristic
1212C24—591no—
1213C24—591no—
1214C24—591no—
1215C24—591no—
1216C24—594no—
1217C24—594no—
1218C24—1182no—
1219C24—1182no—
1220C24—2361no—
1221C24—2361no—
1222C24—2361no—
1223C24—2361no—
1224C24—2361no—
1225C24—2361no—
1226C24—2361no—
1227C24—2361no—
1228C24—2361no—
1229C24—2361no—
1230C24C23×D5911yescharacteristic
1231C24C23×D5911yescharacteristic
1232#41—23616no—
1233C2×Q8—594no—
1234C2×Q8—2361no—
1235C2×Q8—2361no—
1236C2×D4—41no—
1237C2×D4—41no—
1238C2×D4—594no—
1239C2×D4—594no—
1240C2×D4—594no—
1241C2×D4—594no—
1242C2×D4—594no—
1243C2×D4—594no—
1244C2×D4—594no—
1245C2×D4—594no—
1246C2×D4—1182no—
1247C2×D4—1182no—
1248C2×D4—1182no—
1249C2×D4—1182no—
1250C2×D4—1182no—
1251C2×D4—1182no—
1252C2×D4—2361no—
1253C2×D4—2361no—
1254C2×D4—2361no—
1255C2×D4—2361no—
1256C2×D4—23616no—
1257C2×D4—2361no—
1258C2×D4—2361no—
1259C2×D4—2361no—
1260C2×D4—2361no—
1261C2×D4—2361no—
1262C2×D4—2361no—
1263C2×D4C2×C4×D5914yes—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—591no—
1269C22×C4—591no—
1270C22×C4—591no—
1271C22×C4—591no—
1272C22×C4—591no—
1273C22×C4—594no—
1274C22×C4—594no—
1275C22×C4—594no—
1276C22×C4—594no—
1277C22×C4—591no—
1278C22×C4—591no—
1279C22×C4—591no—
1280C22×C4—591no—
1281C22×C4—591no—
1282C22×C4—591no—
1283C22×C4—591no—
1284C22×C4—1182no—
1285C22×C4—1182no—
1286C22×C4—1182no—
1287C22×C4—1182no—
1288C22×C4—1182no—
1289C22×C4—1182no—
1290C22×C4—1182no—
1291C22×C4—1182no—
1292C22×C4—1182no—
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—
1305C22×C4—2361no—
1306C22×C4—2361no—
1307C22×C4—2361no—
1308C22×C4—2361no—
1309C22×C4—2361no—
1310C22×C4—2361no—
1311C22×C4—2361no—
1312C22×C4—2361no—
1313C22×C4—2361no—
1314C22×C4—2361no—
1315C22×C4—2361no—
1316C22×C4—2361no—
1317C22×C4—2361no—
1318C22×C4—2361no—
1319C22×C4—2361no—
1320C22×C4—2361no—
1321C22×C4—2361no—
1322C22×C4C2×C4×D5914yes—
1323C22×C4C2×C4×D5914yes—
1324C22×C4C23×D5911yescharacteristic
1325C22×C4C23×D5911yescharacteristic
1326C22×C4C23×D5911yescharacteristic
1327C22×C4C23×D5911yescharacteristic
1328C22×C4C23×D5911yescharacteristic
1329C22×C4C23×D5911yescharacteristic
1330C22×C4C23×D5911yescharacteristic
1331C22×C4C23×D5911yescharacteristic
1332C22×C4C23×D5911yescharacteristic
1333C22×C4C23×D5911yescharacteristic
1334C22×C4C23×D5911yescharacteristic
1335C22×C4C23×D5911yescharacteristic
1336C22×C4C23×D5911yescharacteristic
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—594no—
1344C4⋊C4—594no—
1345C4⋊C4—594no—
1346C4⋊C4—1182no—
1347C4⋊C4—2361no—
1348C4⋊C4—2361no—
1349C4⋊C4—2361no—
1350C4⋊C4—2361no—
1351C4⋊C4—2361no—
1352C4⋊C4—2361no—
1353C4⋊C4—2361no—
1354C4⋊C4—2361no—
1355C4⋊C4—2361no—
1356C4⋊C4C2×C4×D5914yes—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—594no—
1366C22⋊C4—594no—
1367C22⋊C4—594no—
1368C22⋊C4—594no—
1369C22⋊C4—594no—
1370C22⋊C4—594no—
1371C22⋊C4—594no—
1372C22⋊C4—594no—
1373C22⋊C4—594no—
1374C22⋊C4—594no—
1375C22⋊C4—1182no—
1376C22⋊C4—1182no—
1377C22⋊C4—1182no—
1378C22⋊C4—1182no—
1379C22⋊C4—1182no—
1380C22⋊C4—1182no—
1381C22⋊C4—1182no—
1382C22⋊C4—2361no—
1383C22⋊C4—2361no—
1384C22⋊C4—2361no—
1385C22⋊C4—2361no—
1386C22⋊C4—2361no—
1387C22⋊C4—2361no—
1388C22⋊C4—2361no—
1389C22⋊C4—2361no—
1390C22⋊C4—2361no—
1391C22⋊C4—2361no—
1392C22⋊C4—2361no—
1393C22⋊C4—2361no—
1394C22⋊C4—2361no—
1395C22⋊C4—2361no—
1396C22⋊C4—2361no—
1397C22⋊C4—2361no—
1398C22⋊C4—2361no—
1399C22⋊C4—2361no—
1400C22⋊C4—2361no—
1401C22⋊C4—2361no—
1402C22⋊C4—2361no—
1403C22⋊C4—2361no—
1404C22⋊C4—2361no—
1405C22⋊C4C2×C4×D5914yes—
1406C22⋊C4C2×C4×D5914yes—
1407C42—41no—
1408C42—41no—
1409C42—41no—
1410C42—41no—
1411C42—1182no—
1412C42—1182no—
1413C42—2361no—
1414C42—2361no—
1415C42—2361no—
1416C42—2361no—
1417C42—2361no—
1418C42—2361no—
1419C42—2361no—
1420C42—2361no—
1421C42—2361no—
1422C42—2361no—
1423C42C2×C4×D5914yes—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—592no—
1437C23—592no—
1438C23—592no—
1439C23—592no—
1440C23—592no—
1441C23—592no—
1442C23—1188no—
1443C23—1181no—
1444C23—1181no—
1445C23—1181no—
1446C23—1181no—
1447C23—1181no—
1448C23—1181no—
1449C23—1181no—
1450C23—1181no—
1451C23—1181no—
1452C23—1181no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—1181no—
1457C23—1181no—
1458C23—1181no—
1459C23—1181no—
1460C23—1181no—
1461C23—1181no—
1462C23—1181no—
1463C23—1181no—
1464C23—1181no—
1465C23—4722no—
1466C23—4722no—
1467C23—4722no—
1468C23—4722no—
1469C23—4722no—
1470C23—4722no—
1471C23—4722no—
1472C23—4722no—
1473C23—2364no—
1474C23—2364no—
1475C23—2364no—
1476C23—2364no—
1477C23—2364no—
1478C23C22×C4×D5912yes—
1479C23C22×C4×D5912yes—
1480C23C24×D5911yescharacteristic
1481Q8—2364no—
1482D4—44no—
1483D4—1188no—
1484D4—1188no—
1485D4—1188no—
1486D4—2364no—
1487D4—2364no—
1488D4—2364no—
1489D4—2364no—
1490D4—2364no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—44no—
1526C2×C4—44no—
1527C2×C4—592no—
1528C2×C4—592no—
1529C2×C4—592no—
1530C2×C4—592no—
1531C2×C4—592no—
1532C2×C4—1188no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—1181no—
1546C2×C4—1181no—
1547C2×C4—1181no—
1548C2×C4—1181no—
1549C2×C4—1181no—
1550C2×C4—1181no—
1551C2×C4—1181no—
1552C2×C4—1181no—
1553C2×C4—1181no—
1554C2×C4—1181no—
1555C2×C4—1181no—
1556C2×C4—1181no—
1557C2×C4—1181no—
1558C2×C4—1181no—
1559C2×C4—1181no—
1560C2×C4—1181no—
1561C2×C4—1181no—
1562C2×C4—1181no—
1563C2×C4—1181no—
1564C2×C4—4722no—
1565C2×C4—4722no—
1566C2×C4—4722no—
1567C2×C4—4722no—
1568C2×C4—4722no—
1569C2×C4—4722no—
1570C2×C4—4722no—
1571C2×C4—4722no—
1572C2×C4—2364no—
1573C2×C4—2364no—
1574C2×C4—2364no—
1575C2×C4—2364no—
1576C2×C4—2364no—
1577C2×C4C22×C4×D5912yes—
1578C2×C4C22×C4×D5912yes—
1579C2×C4C22×C4×D5912yes—
1580C2×C4C22×C4×D5912yes—
1581C2×C4C22×C4×D5912yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—594no—
1597C22—1182no—
1598C22—1182no—
1599C22—1182no—
1600C22—1182no—
1601C22—1182no—
1602C22—1182no—
1603C22—1182no—
1604C22—1182no—
1605C22—1182no—
1606C22—1182no—
1607C22—1182no—
1608C22—1182no—
1609C22—1182no—
1610C22—1182no—
1611C22—1182no—
1612C22—4728no—
1613C22—4728no—
1614C22—2361no—
1615C22—2361no—
1616C22—2361no—
1617C22—2361no—
1618C22—2361no—
1619C22—2361no—
1620C22—2361no—
1621C22—2361no—
1622C22—2361no—
1623C22—2361no—
1624C22—2361no—
1625C22—2361no—
1626C22C23×C4×D5911yescharacteristic
1627C22H(5,𝔽2)×D5911yescharacteristic
1628C22H(5,𝔽2)×D5911yescharacteristic
1629C22H(5,𝔽2)×D5911yescharacteristic
1630C22#1683823811yescharacteristic
1631C22#1683823811yescharacteristic
1632C22#1683823911yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—1182no—
1647C4—1182no—
1648C4—1182no—
1649C4—1182no—
1650C4—1182no—
1651C4—2361no—
1652C4—2361no—
1653C4—2361no—
1654C4—2361no—
1655C4—2361no—
1656C4—2361no—
1657C4—2361no—
1658C2—42no—
1659C2—42no—
1660C2—1184no—
1661C2—2362no—
1662C2—2362no—
1663C2—2362no—
1664C2#518×D5911yescharacteristic
1665C2#2143729711yescharacteristic
1666C2#2143730211yescharacteristic
1667C2#2143827911yescharacteristic
1668C2#2143840311yescharacteristic
1669C2#2143844411yescharacteristic
1670C2#2143865111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2319C2
socle, cosocleC23×C59C25
prime radicalC2×#16838048C2
hypercenter#2319D59
hypocenterC59#34492
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2319

Complements

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

NH ≅ G/Ntype
2. #21427259C2semidirect
3. #21427255C2semidirect
4. #21427241C2semidirect
5. #21427233C2semidirect
6. #21427206C2semidirect
7. #21427140C2semidirect
8. #21427129C2semidirect
9. #21427083C2semidirect
10. #21427077C2semidirect
11. #21427037C2semidirect
12. #21427036C2semidirect
13. #21426944C2semidirect
14. #21426940C2semidirect
15. #21426920C2semidirect
16. #21426916C2semidirect
17. #21426909C2semidirect
18. #21426889C2semidirect
19. #21426859C2semidirect
20. #21426849C2semidirect
21. #21426796C2semidirect
22. #21426760C2semidirect
23. #21426755C2semidirect
24. #21426755C2semidirect
25. #21426690C2semidirect
26. #21426685C2semidirect
27. #21426673C2semidirect
28. #21426608C2semidirect
29. #21426537C2semidirect
30. #388×D59C2semidirect
31. C59×#2319C2semidirect
34. #16838048C4semidirect
47. C2×(C22⋊D59)⋊C4C22semidirect
48. C2×(C22⋊D59)⋊C4C22semidirect
49. C2×(C22⋊D59)⋊C4C22semidirect
50. C2×(C22⋊D59)⋊C4C22semidirect
51. C2×#14273685C22semidirect
52. C2×#14273684C22semidirect
53. C2×C4⋊C4×D59C22semidirect
60. C2×C42×D59C22semidirect
61. #16837306C22semidirect
62. #16837306C22semidirect
63. #16837306C22semidirect
64. #16837306C22semidirect
67. #16837302C22semidirect
68. #16837302C22semidirect
69. #16837302C22semidirect
70. #16837302C22semidirect
71. #16837297C22semidirect
72. #16837297C22semidirect
79. #16837294C22semidirect
80. #16837294C22semidirect
81. #16837293C22semidirect
82. #16837293C22semidirect
83. #16837293C22semidirect
84. #16837293C22semidirect
85. #16837293C22semidirect
86. #16837293C22semidirect
87. #16837292C22semidirect
88. #16837292C22semidirect
89. #16837292C22semidirect
90. #16837292C22semidirect
91. #16837292C22semidirect
92. #16837292C22semidirect
93. #16837291C22semidirect
94. #16837291C22semidirect
99. #16837288C22semidirect
100. #16837288C22semidirect
101. #16837285C22semidirect
102. #16837285C22semidirect
103. #16837285C22semidirect
104. #16837285C22semidirect
105. #16837284C22semidirect
106. #16837284C22semidirect
107. #16837283C22semidirect
108. #16837283C22semidirect
123. #16837279C22semidirect
124. #16837279C22semidirect
125. #16837279C22semidirect
126. #16837279C22semidirect
127. #16837278C22semidirect
128. #16837278C22semidirect
129. #16837278C22semidirect
130. #16837278C22semidirect
131. #16837276C22semidirect
132. #16837276C22semidirect
133. #16837273C22semidirect
134. #16837273C22semidirect
135. #16837273C22semidirect
136. #16837273C22semidirect
137. #16837273C22semidirect
138. #16837273C22semidirect
139. #16837270C22semidirect
141. #16837264C22semidirect
142. #16837264C22semidirect
143. #16837262C22semidirect
144. #16837261C22semidirect
145. #16837261C22semidirect
146. #16837259C22semidirect
147. #16837259C22semidirect
152. #16837253C22semidirect
153. #16837253C22semidirect
154. C22⋊C4×Dic59C22semidirect
155. C22⋊C4×Dic59C22semidirect
156. C4×(C2×D59)⋊C4C22semidirect
157. C4×(C2×D59)⋊C4C22semidirect
158. C4×(C2×D59)⋊C4C22semidirect
159. C4×(C2×D59)⋊C4C22semidirect
160. C4×(C2×D59)⋊C4C22semidirect
161. C4×(C2×D59)⋊C4C22semidirect
162. C4×(C2×D59)⋊C4C22semidirect
163. C4×(C2×D59)⋊C4C22semidirect
165. #16837249C22semidirect
166. #16837249C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. #16837248C22semidirect
170. C2×C59⋊#95C22semidirect
171. #95×D59C22semidirect
172. #95×D59C22semidirect
176. C59×#389C22semidirect
177. C59×#389C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
183. C59×#381C22semidirect
185. C59×#380C22semidirect
186. C4×C4⋊C4×C59C22semidirect
187. C59×#376C22semidirect
192. C2×#11745685C2×C4semidirect
196. C22×D236C2×C4semidirect
219. #14273715C2×C4semidirect
220. #14273712C2×C4semidirect
221. #14273712C2×C4semidirect
222. #14273706C2×C4semidirect
223. #14273701C2×C4semidirect
224. #14273700C2×C4semidirect
225. #14273700C2×C4semidirect
226. #14273695C2×C4semidirect
227. #14273695C2×C4semidirect
228. C4×D236C2×C4semidirect
295. C22⋊C4×D59C2×C4semidirect
296. C22⋊C4×D59C2×C4semidirect
343. C4×D4×C59C2×C4semidirect
847. #2319D59semidirect
911. #389C2×D59semidirect
912. #389C2×D59semidirect
941. #388C2×D59semidirect
942. #388C2×D59semidirect
988. #381C2×D59semidirect
995. #380C2×D59semidirect
1002. C4×C4⋊C4C2×D59semidirect
1019. #376C2×D59semidirect
1023. C59#34492semidirect
1074. C4×D4C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168380482
#214272592
#214272552
#214272412
#214272332
#214272062
#214271402
#214271292
#214270832
#214270772
#214270372
#214270362
#214269442
#214269402
#214269202
#214269162
#214269092
#214268892
#214268592
#214268492
#214267962
#214267602
#214267552
#214266902
#214266852
#214266732
#214266082
#214265372
#388×D592
C59×#23192
#3449259