Finite Group Databasebeta

← #28748939

Subgroups — #28748939

Order 15104.

4982 conjugacy classes of subgroups.

The subgroup lattice has 2094 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#120×D59C211yesmaximal, characteristic
2C2×#16837874C211yesmaximal, characteristic, complemented
3C22×C22⋊C4×D59C211yesmaximal, characteristic, complemented
4#21427080C211yesmaximal, characteristic, complemented
5#21427078C211yesmaximal, characteristic, complemented
6#21427076C211yesmaximal, characteristic, complemented
7#21427075C211yesmaximal, characteristic, complemented
8#21427075C211yesmaximal, characteristic, complemented
9#21427073C211yesmaximal, characteristic, complemented
10#21427072C211yesmaximal, characteristic, complemented
11#21426944C211yesmaximal, characteristic, complemented
12#21426943C211yesmaximal, characteristic, complemented
13#21426940C211yesmaximal, characteristic, complemented
14#21426939C211yesmaximal, characteristic, complemented
15#21426917C211yesmaximal, characteristic, complemented
16#21426914C211yesmaximal, characteristic, complemented
17#21426914C211yesmaximal, characteristic, complemented
18D4×(C2×D59)⋊C4C211yesmaximal, characteristic, complemented
19#21426758C211yesmaximal, characteristic, complemented
20#21426755C211yesmaximal, characteristic, complemented
21#21426752C211yesmaximal, characteristic, complemented
22#21426749C211yesmaximal, characteristic, complemented
23#21426707C211yesmaximal, characteristic, complemented
24#21426670C211yesmaximal, characteristic, complemented
25#21426601C211yesmaximal, characteristic, complemented
26C4×#14273697C211yesmaximal, characteristic, complemented
27#21426597C211yesmaximal, characteristic, complemented
28C4×#14273695C211yesmaximal, characteristic, complemented
29C2×#16837257C211yesmaximal, characteristic, complemented
30#21426448C211yesmaximal, characteristic, complemented
31C59×#2358C211yesmaximal, characteristic, complemented
32C25×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C22×D4×D59C2211yescharacteristic
36C23×C4×D59C2211yescharacteristic, complemented
37C23×C4×D59C2211yescharacteristic, complemented
38C2×#14273697C2211yescharacteristic
39C2×#14273697C2211yescharacteristic
40C2×#14273697C2211yescharacteristic
41C2×#14273696C2211yescharacteristic
42C2×#14273695C2211yescharacteristic
43C2×#14273695C2211yescharacteristic
44C2×#14273695C2211yescharacteristic
45#120×D59C4116yescomplemented
46#16837874—28no—
47C2×C4×D236C2211yescharacteristic, complemented
48C2×C4×D236C2211yescharacteristic, complemented
49C2×D4×Dic59C2211yescharacteristic, complemented
50C2×D4×Dic59C2211yescharacteristic, complemented
51C2×#14273689C2211yescharacteristic, complemented
52C2×#14273689C2211yescharacteristic, complemented
53C2×C4×C22⋊D59C2211yescharacteristic, complemented
54C2×C4×C22⋊D59C2211yescharacteristic, complemented
55C2×C4×C22⋊D59C2211yescharacteristic, complemented
56C2×C4×C22⋊D59C2211yescharacteristic, complemented
57C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
58C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
59C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
60C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
61C2×#14273685C2211yescharacteristic, complemented
62C2×#14273684C2211yescharacteristic, complemented
63C22×C22⋊Dic59C2211yescharacteristic, complemented
64C22×C22⋊Dic59C2211yescharacteristic, complemented
65C22×(C2×D59)⋊C4C2211yescharacteristic
66C22×(C2×D59)⋊C4C2211yescharacteristic
67C22×(C2×D59)⋊C4C2211yescharacteristic
68C22×(C2×D59)⋊C4C2211yescharacteristic
69C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
70C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
71C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
72C2×C22⋊C4×D59—28no—
73C2×C22⋊C4×D59C2211yescharacteristic
74C2×C22⋊C4×D59C2211yescharacteristic
75C2×C22⋊C4×D59C2211yescharacteristic
76C2×C22⋊C4×D59C2211yescharacteristic
77C2×C22⋊C4×D59C2211yescharacteristic
78C2×C22⋊C4×D59C2211yescharacteristic
79C2×C22⋊C4×D59C2211yescharacteristic
80C2×C22⋊C4×D59C2211yescharacteristic, complemented
81C2×C22⋊C4×D59C2211yescharacteristic, complemented
82C2×C22⋊C4×D59C2211yescharacteristic, complemented
83C2×C22⋊C4×D59C2211yescharacteristic, complemented
84C2×C22⋊C4×D59C2211yescharacteristic, complemented
85#16837305C2211yescharacteristic, complemented
86#16837304C2211yescharacteristic, complemented
87#16837303C2211yescharacteristic, complemented
88#16837302C2211yescharacteristic, complemented
89#16837302C2211yescharacteristic, complemented
90#16837302C2211yescharacteristic, complemented
91#16837302C2211yescharacteristic, complemented
92#16837296C2211yescharacteristic, complemented
93#16837296C2211yescharacteristic, complemented
94#16837295C2211yescharacteristic, complemented
95#16837295C2211yescharacteristic, complemented
96#16837294C2211yescharacteristic, complemented
97#16837294C2211yescharacteristic, complemented
98#16837293C2211yescharacteristic, complemented
99#16837293C2211yescharacteristic, complemented
100#16837292C2211yescharacteristic, complemented
101#16837292C2211yescharacteristic, complemented
102#16837291C2211yescharacteristic, complemented
103#16837291C2211yescharacteristic, complemented
104#16837290C2211yescharacteristic, complemented
105#16837290C2211yescharacteristic, complemented
106#16837282C2211yescharacteristic, complemented
107#16837282C2211yescharacteristic, complemented
108#16837282C2211yescharacteristic, complemented
109#16837281C2211yescharacteristic, complemented
110#16837281C2211yescharacteristic, complemented
111#16837281C2211yescharacteristic, complemented
112#16837280C2211yescharacteristic, complemented
113#16837280C2211yescharacteristic, complemented
114#16837280C2211yescharacteristic, complemented
115#16837280C2211yescharacteristic, complemented
116#16837280C2211yescharacteristic, complemented
117#16837280C2211yescharacteristic, complemented
118#16837279C2211yescharacteristic, complemented
119#16837279C2211yescharacteristic, complemented
120#16837279C2211yescharacteristic, complemented
121#16837278C2211yescharacteristic, complemented
122#16837278C2211yescharacteristic, complemented
123#16837278C2211yescharacteristic, complemented
124#16837278C2211yescharacteristic, complemented
125#16837278C2211yescharacteristic, complemented
126#16837278C2211yescharacteristic, complemented
127#16837277C2211yescharacteristic, complemented
128#16837277C2211yescharacteristic, complemented
129#16837276C2211yescharacteristic, complemented
130#16837276C2211yescharacteristic, complemented
131#16837276C2211yescharacteristic, complemented
132#16837276C2211yescharacteristic, complemented
133#16837275C2211yescharacteristic, complemented
134#16837275C2211yescharacteristic, complemented
135#16837274C2211yescharacteristic, complemented
136#16837274C2211yescharacteristic, complemented
137#16837273C2211yescharacteristic, complemented
138#16837273C2211yescharacteristic, complemented
139#16837273C2211yescharacteristic, complemented
140#16837273C2211yescharacteristic, complemented
141#16837264C2211yescharacteristic, complemented
142#16837264C2211yescharacteristic, complemented
143#16837261C2211yescharacteristic, complemented
144#16837261C2211yescharacteristic, complemented
145#16837259C2211yescharacteristic, complemented
146#16837259C2211yescharacteristic, complemented
147#16837257C2211yescharacteristic
148#16837257C2211yescharacteristic
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151#16837257C2211yescharacteristic, complemented
152#16837257C2211yescharacteristic, complemented
153#16837257C2211yescharacteristic, complemented
154#16837257C2211yescharacteristic, complemented
155#16837257C2211yescharacteristic, complemented
156#16837257C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic, complemented
159C22⋊C4×Dic59C2211yescharacteristic, complemented
160C22⋊C4×Dic59C2211yescharacteristic, complemented
161C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
167C4×C22⋊Dic59C2211yescharacteristic, complemented
168C4×C22⋊Dic59C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172#16837249C2211yescharacteristic, complemented
173#16837249C2211yescharacteristic, complemented
174#16837249C2211yescharacteristic, complemented
175C2×#120×C59C2211yescharacteristic
176C2×C4×D4×C59C2211yescharacteristic, complemented
177C2×C4×D4×C59C2211yescharacteristic, complemented
178C22×C22⋊C4×C59C2211yescharacteristic, complemented
179C22×C22⋊C4×C59C2211yescharacteristic, complemented
180C59×#390C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic, complemented
188C4×C22⋊C4×C59C2211yescharacteristic, complemented
189C4×C22⋊C4×C59C2211yescharacteristic, complemented
190C24×D59—24no—
191C24×D59—24no—
192C24×D59—42no—
193C24×D59—42no—
194C24×D59—42no—
195C24×D59—42no—
196C24×D59C2×C418yescomplemented
197C24×D59C2311yescharacteristic
198C24×D59C2311yescharacteristic
199C24×D59C2311yescharacteristic
200C24×D59C2311yescharacteristic
201C24×D59C2311yescharacteristic
202C24×D59C2311yescharacteristic
203C24×D59C2311yescharacteristic
204C22×D236C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C22×C22⋊D59C2311yescharacteristic
211C22×C22⋊D59C2311yescharacteristic
212C22×C22⋊D59C2311yescharacteristic
213C2×D4×D59—24no—
214C2×D4×D59—24no—
215C2×D4×D59—42no—
216C2×D4×D59—42no—
217C2×D4×D59—42no—
218C2×D4×D59—42no—
219C2×D4×D59C2×C418yescomplemented
220C2×D4×D59C2×C418yescomplemented
221C2×D4×D59C2×C418yescomplemented
222C23×Dic59C2311yescharacteristic
223C23×Dic59C2311yescharacteristic
224C23×Dic59C2311yescharacteristic
225C23×Dic59C2311yescharacteristic
226C23×Dic59C2311yescharacteristic, complemented
227C22×C4×D59—24no—
228C22×C4×D59—24no—
229C22×C4×D59—42no—
230C22×C4×D59—42no—
231C22×C4×D59—42no—
232C22×C4×D59—42no—
233C22×C4×D59C2311yescharacteristic
234C22×C4×D59C2311yescharacteristic
235C22×C4×D59C2311yescharacteristic
236C22×C4×D59C2311yescharacteristic
237C22×C4×D59C2311yescharacteristic
238C22×C4×D59C2311yescharacteristic
239C22×C4×D59C2311yescharacteristic
240C22×C4×D59C2311yescharacteristic
241C22×C4×D59C2311yescharacteristic
242C22×C4×D59C2311yescharacteristic
243C22×C4×D59C2311yescharacteristic
244C22×C4×D59C2311yescharacteristic, complemented
245C22×C4×D59C2311yescharacteristic, complemented
246#14273697C2×C418yescomplemented
247#14273697C2×C418yescomplemented
248#14273697C2×C418yescomplemented
249#14273696C2×C418yescomplemented
250#14273695C2×C418yescomplemented
251#14273695C2×C418yescomplemented
252#14273695C2×C418yescomplemented
253C4×D236—24no—
254C4×D236—42no—
255D4×Dic59—24no—
256D4×Dic59—42no—
257#14273689—24no—
258#14273689—42no—
259C4×C22⋊D59—24no—
260C4×C22⋊D59—24no—
261C4×C22⋊D59—42no—
262C4×C22⋊D59—42no—
263(C22⋊D59)⋊C4—24no—
264(C22⋊D59)⋊C4—24no—
265(C22⋊D59)⋊C4—42no—
266(C22⋊D59)⋊C4—42no—
267#14273685—24no—
268#14273684—24no—
269C2×C4⋊Dic59C2311yescharacteristic, complemented
270C2×C4⋊Dic59C2311yescharacteristic, complemented
271C2×C4⋊Dic59C2311yescharacteristic, complemented
272C2×Dic59⋊C4C2311yescharacteristic, complemented
273C2×Dic59⋊C4C2311yescharacteristic, complemented
274C2×Dic59⋊C4C2311yescharacteristic, complemented
275C2×Dic59⋊C4C2311yescharacteristic, complemented
276C2×Dic59⋊C4C2311yescharacteristic, complemented
277C2×Dic59⋊C4C2311yescharacteristic, complemented
278C2×C22⋊Dic59—24no—
279C2×C22⋊Dic59—42no—
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic, complemented
292C2×C22⋊Dic59C2311yescharacteristic, complemented
293C2×C22⋊Dic59C2311yescharacteristic, complemented
294C2×(C2×D59)⋊C4—24no—
295C2×(C2×D59)⋊C4—24no—
296C2×(C2×D59)⋊C4—24no—
297C2×(C2×D59)⋊C4—24no—
298C2×(C2×D59)⋊C4—24no—
299C2×(C2×D59)⋊C4—42no—
300C2×(C2×D59)⋊C4—42no—
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×(C2×D59)⋊C4C2311yescharacteristic
316C2×(C2×D59)⋊C4C2311yescharacteristic
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C2×(C2×D59)⋊C4C2311yescharacteristic
319C2×(C2×D59)⋊C4C2311yescharacteristic
320C2×(C2×D59)⋊C4C2311yescharacteristic
321C2×(C2×D59)⋊C4C2311yescharacteristic
322C2×(C2×D59)⋊C4C2311yescharacteristic
323C2×(C2×D59)⋊C4C2311yescharacteristic
324C2×(C2×D59)⋊C4C2311yescharacteristic
325C2×(C2×D59)⋊C4C2311yescharacteristic
326C2×(C2×D59)⋊C4C2311yescharacteristic
327C2×(C2×D59)⋊C4C2311yescharacteristic
328C2×(C2×D59)⋊C4C2311yescharacteristic
329C2×(C2×D59)⋊C4C2311yescharacteristic
330C2×(C2×D59)⋊C4C2311yescharacteristic
331C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
332C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
333C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
334C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
335C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
336C2×(C2×D59)⋊C4C2311yescharacteristic, complemented
337C22⋊C4×D59—24no—
338C22⋊C4×D59—24no—
339C22⋊C4×D59—24no—
340C22⋊C4×D59—24no—
341C22⋊C4×D59—24no—
342C22⋊C4×D59—24no—
343C22⋊C4×D59—24no—
344C22⋊C4×D59—24no—
345C22⋊C4×D59C2×C418yescomplemented
346C22⋊C4×D59C2×C418yescomplemented
347C22⋊C4×D59C2×C418yescomplemented
348C22⋊C4×D59D418yescomplemented
349C2×C4×Dic59C2311yescharacteristic, complemented
350C2×C4×Dic59C2311yescharacteristic, complemented
351C2×C4×Dic59C2311yescharacteristic, complemented
352C2×C4×Dic59C2311yescharacteristic, complemented
353C2×C4×Dic59C2311yescharacteristic, complemented
354C2×C4×Dic59C2311yescharacteristic, complemented
355C2×C4×Dic59C2311yescharacteristic, complemented
356C2×C4×Dic59C2311yescharacteristic, complemented
357C2×C4×Dic59C2311yescharacteristic, complemented
358C59⋊#95C2311yescharacteristic, complemented
359C59⋊#95C2311yescharacteristic, complemented
360C59⋊#95C2311yescharacteristic, complemented
361C59⋊#95C2311yescharacteristic, complemented
362C59⋊#95C2311yescharacteristic, complemented
363C59⋊#95C2311yescharacteristic, complemented
364C59⋊#95C2311yescharacteristic, complemented
365C59⋊#95C2311yescharacteristic, complemented
366C59⋊#95C2311yescharacteristic, complemented
367C59⋊#95C2311yescharacteristic, complemented
368C59⋊#95C2311yescharacteristic, complemented
369C59⋊#95C2311yescharacteristic, complemented
370C59⋊#95C2311yescharacteristic, complemented
371C59⋊#95C2311yescharacteristic, complemented
372C59⋊#95C2311yescharacteristic, complemented
373C59⋊#95C2311yescharacteristic, complemented
374C59⋊#95C2311yescharacteristic, complemented
375C59⋊#95C2311yescharacteristic, complemented
376C25×C59C2311yescharacteristic
377C22×D4×C59C2311yescharacteristic
378C22×D4×C59C2311yescharacteristic
379C22×D4×C59C2311yescharacteristic
380C23×C4×C59C2311yescharacteristic
381C23×C4×C59C2311yescharacteristic
382C23×C4×C59C2311yescharacteristic
383C23×C4×C59C2311yescharacteristic
384C23×C4×C59C2311yescharacteristic, complemented
385#120×C59C2×C418yescomplemented
386C4×D4×C59—24no—
387C4×D4×C59—42no—
388C2×C4⋊C4×C59C2311yescharacteristic, complemented
389C2×C4⋊C4×C59C2311yescharacteristic, complemented
390C2×C4⋊C4×C59C2311yescharacteristic, complemented
391C2×C22⋊C4×C59—24no—
392C2×C22⋊C4×C59—42no—
393C2×C22⋊C4×C59C2311yescharacteristic
394C2×C22⋊C4×C59C2311yescharacteristic
395C2×C22⋊C4×C59C2311yescharacteristic
396C2×C22⋊C4×C59C2311yescharacteristic
397C2×C22⋊C4×C59C2311yescharacteristic
398C2×C22⋊C4×C59C2311yescharacteristic
399C2×C22⋊C4×C59C2311yescharacteristic
400C2×C22⋊C4×C59C2311yescharacteristic
401C2×C22⋊C4×C59C2311yescharacteristic
402C2×C22⋊C4×C59C2311yescharacteristic
403C2×C22⋊C4×C59C2311yescharacteristic
404C2×C22⋊C4×C59C2311yescharacteristic, complemented
405C2×C22⋊C4×C59C2311yescharacteristic, complemented
406C2×C22⋊C4×C59C2311yescharacteristic, complemented
407C2×C42×C59C2311yescharacteristic, complemented
408C2×C42×C59C2311yescharacteristic, complemented
409C2×C42×C59C2311yescharacteristic, complemented
410#95×C59C2311yescharacteristic, complemented
411#95×C59C2311yescharacteristic, complemented
412#95×C59C2311yescharacteristic, complemented
413#95×C59C2311yescharacteristic, complemented
414#95×C59C2311yescharacteristic, complemented
415#95×C59C2311yescharacteristic, complemented
416C24×C59—22no—
417C24×C59—22no—
418C24×C59—22no—
419C24×C59—22no—
420C24×C59—41no—
421C24×C59—41no—
422C24×C59C22×C414yes—
423C24×C59C2411yescharacteristic
424C24×C59C2411yescharacteristic
425C24×C59C2411yescharacteristic
426C24×C59C2411yescharacteristic
427C23×D59—22no—
428C23×D59—22no—
429C23×D59—22no—
430C23×D59—22no—
431C23×D59—22no—
432C23×D59—22no—
433C23×D59—22no—
434C23×D59—22no—
435C23×D59—22no—
436C23×D59—22no—
437C23×D59—232no—
438C23×D59—22no—
439C23×D59—22no—
440C23×D59—22no—
441C23×D59—22no—
442C23×D59—22no—
443C23×D59—22no—
444C23×D59—22no—
445C23×D59—22no—
446C23×D59—22no—
447C23×D59—22no—
448C23×D59—22no—
449C23×D59—22no—
450C23×D59—416no—
451C23×D59—416no—
452C23×D59—41no—
453C23×D59—41no—
454C23×D59—41no—
455C23×D59—41no—
456C23×D59—41no—
457C23×D59—41no—
458C23×D59—41no—
459C23×D59—41no—
460C23×D59—41no—
461C23×D59—41no—
462C23×D59—41no—
463C23×D59—41no—
464C23×D59—41no—
465C23×D59—41no—
466C23×D59—41no—
467C23×D59—41no—
468C23×D59—41no—
469C23×D59—41no—
470C23×D59—416no—
471C23×D59—416no—
472C23×D59—416no—
473C23×D59—416no—
474C23×D59C22×C414yes—
475C23×D59C22×C414yes—
476C23×D59C22×C414yes—
477C23×D59C22×C414yes—
478C23×D59C22×C414yes—
479C23×D59C22×C414yes—
480C23×D59C22×C414yescomplemented
481C23×D59C2×D414yes—
482C23×D59#4114yes—
483C23×D59C2411yescharacteristic
484C23×D59C2411yescharacteristic
485C23×D59C2411yescharacteristic
486C23×D59C2411yescharacteristic
487C23×D59C2411yescharacteristic
488C2×D4×C59—22no—
489C2×D4×C59—22no—
490C2×D4×C59—22no—
491C2×D4×C59—22no—
492C2×D4×C59—41no—
493C2×D4×C59—41no—
494C2×D4×C59C22×C414yes—
495C2×D4×C59C22×C414yescomplemented
496C2×D4×C59C22×C414yescomplemented
497C22×C4×C59—22no—
498C22×C4×C59—22no—
499C22×C4×C59—22no—
500C22×C4×C59—22no—
501C22×C4×C59—22no—
502C22×C4×C59—22no—
503C22×C4×C59—22no—
504C22×C4×C59—41no—
505C22×C4×C59—41no—
506C22×C4×C59—41no—
507C22×C4×C59—41no—
508C22×C4×C59—41no—
509C22×C4×C59—41no—
510C22×C4×C59—41no—
511C22×C4×C59—41no—
512C22×C4×C59C2411yescharacteristic
513C22×C4×C59C2411yescharacteristic
514C22×C4×C59C2411yescharacteristic
515C22×C4×C59C2411yescharacteristic
516C22×C4×C59C2411yescharacteristic
517C22×C4×C59C2411yescharacteristic
518C22×C4×C59C2411yescharacteristic
519C22×C4×C59C2411yescharacteristic
520C22×C4×C59C2411yescharacteristic
521C22×C4×C59C2411yescharacteristic
522C22×C4×C59C2411yescharacteristic
523C2×C22⋊D59—22no—
524C2×C22⋊D59—22no—
525C2×C22⋊D59—22no—
526C2×C22⋊D59—22no—
527C2×C22⋊D59—22no—
528C2×C22⋊D59—22no—
529C2×C22⋊D59—22no—
530C2×C22⋊D59—22no—
531C2×C22⋊D59—41no—
532C2×C22⋊D59—41no—
533C2×C22⋊D59—41no—
534C2×C22⋊D59—41no—
535C2×C22⋊D59C22×C414yes—
536C2×C22⋊D59C22×C414yes—
537C2×C22⋊D59C22×C414yes—
538C2×C22⋊D59C22×C414yescomplemented
539C2×C22⋊D59C22×C414yescomplemented
540C2×C22⋊D59C22×C414yescomplemented
541C22×Dic59—22no—
542C22×Dic59—22no—
543C22×Dic59—22no—
544C22×Dic59—22no—
545C22×Dic59—22no—
546C22×Dic59—22no—
547C22×Dic59—22no—
548C22×Dic59—41no—
549C22×Dic59—41no—
550C22×Dic59—41no—
551C22×Dic59—41no—
552C22×Dic59—41no—
553C22×Dic59—41no—
554C22×Dic59—41no—
555C22×Dic59—41no—
556C22×Dic59C2411yescharacteristic
557C22×Dic59C2411yescharacteristic
558C22×Dic59C2411yescharacteristic
559C22×Dic59C2411yescharacteristic
560C22×Dic59C2411yescharacteristic
561C22×Dic59C2411yescharacteristic
562C22×Dic59C2411yescharacteristic
563C22×Dic59C2411yescharacteristic
564C22×Dic59C2411yescharacteristic
565C22×Dic59C2411yescharacteristic
566C22×Dic59C2411yescharacteristic
567D4×D59—232no—
568D4×D59—416no—
569D4×D59—416no—
570C2×D236—22no—
571C2×D236—22no—
572C2×D236—22no—
573C2×D236—22no—
574C2×D236—41no—
575C2×D236—41no—
576C2×D236C22×C414yes—
577C2×D236C22×C414yes—
578C2×D236C22×C414yescomplemented
579C2×C4×D59—22no—
580C2×C4×D59—22no—
581C2×C4×D59—22no—
582C2×C4×D59—22no—
583C2×C4×D59—22no—
584C2×C4×D59—22no—
585C2×C4×D59—22no—
586C2×C4×D59—22no—
587C2×C4×D59—22no—
588C2×C4×D59—22no—
589C2×C4×D59—22no—
590C2×C4×D59—22no—
591C2×C4×D59—22no—
592C2×C4×D59—22no—
593C2×C4×D59—41no—
594C2×C4×D59—41no—
595C2×C4×D59—41no—
596C2×C4×D59—41no—
597C2×C4×D59—41no—
598C2×C4×D59—41no—
599C2×C4×D59—41no—
600C2×C4×D59—41no—
601C2×C4×D59—41no—
602C2×C4×D59—41no—
603C2×C4×D59—41no—
604C2×C4×D59—41no—
605C2×C4×D59—41no—
606C2×C4×D59—41no—
607C2×C4×D59—41no—
608C2×C4×D59—41no—
609C2×C4×D59—416no—
610C2×C4×D59—416no—
611C2×C4×D59—41no—
612C2×C4×D59—41no—
613C2×C4×D59—41no—
614C2×C4×D59—41no—
615C2×C4×D59C22×C414yescomplemented
616C2×C4×D59C22×C414yescomplemented
617C2×C4×D59C22×C414yescomplemented
618C2×C4×D59C2×D414yescomplemented
619C2×C4×D59C2×D414yescomplemented
620C4⋊C4×C59—22no—
621C4⋊C4×C59—41no—
622C4⋊C4×C59—41no—
623C22⋊C4×C59—22no—
624C22⋊C4×C59—22no—
625C22⋊C4×C59—22no—
626C22⋊C4×C59—22no—
627C22⋊C4×C59—22no—
628C22⋊C4×C59—22no—
629C22⋊C4×C59—41no—
630C22⋊C4×C59—41no—
631C22⋊C4×C59—41no—
632C22⋊C4×C59—41no—
633C22⋊C4×C59C22×C414yes—
634C22⋊C4×C59C22×C414yescomplemented
635C22⋊C4×C59C22×C414yescomplemented
636C22⋊C4×C59C2×D414yescomplemented
637C42×C59—22no—
638C42×C59—41no—
639C42×C59—41no—
640C22⋊Dic59—22no—
641C22⋊Dic59—22no—
642C22⋊Dic59—22no—
643C22⋊Dic59—22no—
644C22⋊Dic59—22no—
645C22⋊Dic59—22no—
646C22⋊Dic59—41no—
647C22⋊Dic59—41no—
648C22⋊Dic59—41no—
649C22⋊Dic59—41no—
650C22⋊Dic59C22×C414yes—
651C22⋊Dic59C22×C414yescomplemented
652C22⋊Dic59C22×C414yescomplemented
653C22⋊Dic59C2×D414yescomplemented
654(C2×D59)⋊C4—22no—
655(C2×D59)⋊C4—22no—
656(C2×D59)⋊C4—22no—
657(C2×D59)⋊C4—22no—
658(C2×D59)⋊C4—22no—
659(C2×D59)⋊C4—22no—
660(C2×D59)⋊C4—22no—
661(C2×D59)⋊C4—22no—
662(C2×D59)⋊C4—22no—
663(C2×D59)⋊C4—22no—
664(C2×D59)⋊C4—22no—
665(C2×D59)⋊C4—22no—
666(C2×D59)⋊C4—22no—
667(C2×D59)⋊C4—22no—
668(C2×D59)⋊C4—22no—
669(C2×D59)⋊C4—22no—
670(C2×D59)⋊C4—22no—
671(C2×D59)⋊C4—22no—
672(C2×D59)⋊C4—22no—
673(C2×D59)⋊C4—22no—
674(C2×D59)⋊C4—41no—
675(C2×D59)⋊C4—41no—
676(C2×D59)⋊C4—41no—
677(C2×D59)⋊C4—41no—
678(C2×D59)⋊C4—41no—
679(C2×D59)⋊C4—41no—
680(C2×D59)⋊C4—41no—
681(C2×D59)⋊C4—41no—
682(C2×D59)⋊C4C22×C414yes—
683(C2×D59)⋊C4C22×C414yes—
684(C2×D59)⋊C4C22×C414yes—
685(C2×D59)⋊C4C22×C414yes—
686(C2×D59)⋊C4C22×C414yescomplemented
687(C2×D59)⋊C4C22×C414yescomplemented
688(C2×D59)⋊C4C2×D414yes—
689(C2×D59)⋊C4C2×D414yes—
690C4⋊Dic59—22no—
691C4⋊Dic59—41no—
692C4⋊Dic59—41no—
693Dic59⋊C4—22no—
694Dic59⋊C4—22no—
695Dic59⋊C4—41no—
696Dic59⋊C4—41no—
697Dic59⋊C4—41no—
698Dic59⋊C4—41no—
699C4×Dic59—22no—
700C4×Dic59—22no—
701C4×Dic59—22no—
702C4×Dic59—41no—
703C4×Dic59—41no—
704C4×Dic59—41no—
705C4×Dic59—41no—
706C4×Dic59—41no—
707C4×Dic59—41no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—21no—
711C23×C59—21no—
712C23×C59—21no—
713C23×C59—21no—
714C23×C59—21no—
715C23×C59—21no—
716C23×C59—28no—
717C23×C59—28no—
718C23×C59—21no—
719C23×C59—21no—
720C23×C59—21no—
721C23×C59—21no—
722C23×C59—21no—
723C23×C59—21no—
724C23×C59—21no—
725C23×C59—21no—
726C23×C59—21no—
727C23×C59—21no—
728C23×C59—21no—
729C23×C59—21no—
730C23×C59—44no—
731C23×C59—44no—
732C23×C59—44no—
733C23×C59—44no—
734C23×C59—44no—
735C23×C59C23×C412yes—
736C23×C59C23×C412yes—
737C23×C59C23×C412yes—
738C23×C59C23×C412yes—
739C23×C59C22×D412yes—
740C23×C59C2×#4112yes—
741C23×C59H(5,𝔽2)12yes—
742C23×C59H(5,𝔽2)12yes—
743C23×C59C2511yescharacteristic
744C22×D59—28no—
745C22×D59—28no—
746C22×D59—28no—
747C22×D59—28no—
748C22×D59—28no—
749C22×D59—21no—
750C22×D59—21no—
751C22×D59—21no—
752C22×D59—21no—
753C22×D59—21no—
754C22×D59—21no—
755C22×D59—21no—
756C22×D59—21no—
757C22×D59—21no—
758C22×D59—21no—
759C22×D59—21no—
760C22×D59—21no—
761C22×D59—28no—
762C22×D59—28no—
763C22×D59—28no—
764C22×D59—28no—
765C22×D59—21no—
766C22×D59—21no—
767C22×D59—21no—
768C22×D59—21no—
769C22×D59—21no—
770C22×D59—21no—
771C22×D59—21no—
772C22×D59—21no—
773C22×D59—21no—
774C22×D59—21no—
775C22×D59—21no—
776C22×D59—21no—
777C22×D59—28no—
778C22×D59—28no—
779C22×D59—28no—
780C22×D59—28no—
781C22×D59—28no—
782C22×D59—28no—
783C22×D59—44no—
784C22×D59—44no—
785C22×D59—44no—
786C22×D59—44no—
787C22×D59—44no—
788C22×D59—44no—
789C22×D59—44no—
790C22×D59—44no—
791C22×D59—44no—
792C22×D59—44no—
793C22×D59—44no—
794C22×D59—44no—
795C22×D59—44no—
796C22×D59—44no—
797C22×D59—44no—
798C22×D59—44no—
799C22×D59—44no—
800C22×D59—44no—
801C22×D59—44no—
802C22×D59—44no—
803C22×D59—44no—
804C22×D59—44no—
805C22×D59—44no—
806C22×D59—44no—
807C22×D59—44no—
808C22×D59—4128no—
809C22×D59—44no—
810C22×D59—44no—
811C22×D59—44no—
812C22×D59—44no—
813C22×D59—82no—
814C22×D59—82no—
815C22×D59—82no—
816C22×D59—82no—
817C22×D59C4×D4116yescomplemented
818C22×D59C23×C412yes—
819C22×D59C23×C412yes—
820C22×D59C23×C412yes—
821C22×D59C23×C412yes—
822C22×D59C23×C412yes—
823C22×D59C22×D412yes—
824C22×D59C22×D412yes—
825C22×D59C2×#4112yes—
826C22×D59C2×#4112yes—
827C22×D59H(5,𝔽2)12yes—
828C22×D59H(5,𝔽2)12yes—
829D4×C59—28no—
830D4×C59—28no—
831D4×C59—44no—
832C2×C4×C59—21no—
833C2×C4×C59—21no—
834C2×C4×C59—21no—
835C2×C4×C59—21no—
836C2×C4×C59—21no—
837C2×C4×C59—21no—
838C2×C4×C59—21no—
839C2×C4×C59—21no—
840C2×C4×C59—21no—
841C2×C4×C59—21no—
842C2×C4×C59—21no—
843C2×C4×C59—21no—
844C2×C4×C59—21no—
845C2×C4×C59—21no—
846C2×C4×C59—21no—
847C2×C4×C59—21no—
848C2×C4×C59—21no—
849C2×C4×C59—21no—
850C2×C4×C59—21no—
851C2×C4×C59—21no—
852C2×C4×C59—21no—
853C2×C4×C59—21no—
854C2×C4×C59—21no—
855C2×C4×C59—21no—
856C2×C4×C59—21no—
857C2×C4×C59—21no—
858C2×C4×C59—21no—
859C2×C4×C59—21no—
860C2×C4×C59—44no—
861C2×C4×C59—44no—
862C2×C4×C59—82no—
863C2×C4×C59—82no—
864C2×C4×C59—82no—
865C2×C4×C59C23×C412yes—
866C2×C4×C59C23×C412yes—
867C2×C4×C59C23×C412yes—
868C2×C4×C59C22×D412yes—
869C2×C4×C59C22×D412yes—
870C22⋊D59—28no—
871C22⋊D59—28no—
872C22⋊D59—28no—
873C22⋊D59—28no—
874C22⋊D59—44no—
875C22⋊D59—44no—
876C2×Dic59—21no—
877C2×Dic59—21no—
878C2×Dic59—21no—
879C2×Dic59—21no—
880C2×Dic59—21no—
881C2×Dic59—21no—
882C2×Dic59—21no—
883C2×Dic59—21no—
884C2×Dic59—21no—
885C2×Dic59—21no—
886C2×Dic59—21no—
887C2×Dic59—21no—
888C2×Dic59—21no—
889C2×Dic59—21no—
890C2×Dic59—21no—
891C2×Dic59—21no—
892C2×Dic59—21no—
893C2×Dic59—21no—
894C2×Dic59—21no—
895C2×Dic59—21no—
896C2×Dic59—21no—
897C2×Dic59—21no—
898C2×Dic59—21no—
899C2×Dic59—21no—
900C2×Dic59—21no—
901C2×Dic59—21no—
902C2×Dic59—21no—
903C2×Dic59—21no—
904C2×Dic59—44no—
905C2×Dic59—44no—
906C2×Dic59—82no—
907C2×Dic59—82no—
908C2×Dic59—82no—
909C2×Dic59C23×C412yes—
910C2×Dic59C23×C412yes—
911C2×Dic59C23×C412yes—
912C2×Dic59C22×D412yes—
913C2×Dic59C22×D412yes—
914D236—28no—
915D236—28no—
916D236—44no—
917C4×D59—28no—
918C4×D59—44no—
919C4×D59—44no—
920C4×D59—44no—
921C4×D59—44no—
922C4×D59—44no—
923C4×D59—44no—
924C4×D59—44no—
925C4×D59—44no—
926C4×D59—44no—
927C4×D59—44no—
928C4×D59—82no—
929C4×D59—82no—
930#34198—591nomaximal, Sylow
931C22×C59—22no—
932C22×C59—22no—
933C22×C59—22no—
934C22×C59—22no—
935C22×C59—22no—
936C22×C59—22no—
937C22×C59—22no—
938C22×C59—22no—
939C22×C59—22no—
940C22×C59—22no—
941C22×C59—22no—
942C22×C59—22no—
943C22×C59—22no—
944C22×C59—22no—
945C22×C59—22no—
946C22×C59—22no—
947C22×C59—22no—
948C22×C59—22no—
949C22×C59—416no—
950C22×C59—41no—
951C22×C59—41no—
952C22×C59—41no—
953C22×C59—41no—
954C22×C59—41no—
955C22×C59—41no—
956C22×C59—41no—
957C22×C59—41no—
958C22×C59C2×C4×D414yes—
959C22×C59#51814yescomplemented
960C22×C59C24×C411yescharacteristic
961C22×C59C23×D411yescharacteristic
962C22×C59C22×#4111yescharacteristic
963C22×C59C2×H(5,𝔽2)11yescharacteristic
964C22×C59C2×H(5,𝔽2)11yescharacteristic
965C22×C59C2×H(5,𝔽2)11yescharacteristic
966C22×C59C2×H(5,𝔽2)11yescharacteristic
967C2×D59—232no—
968C2×D59—22no—
969C2×D59—22no—
970C2×D59—22no—
971C2×D59—22no—
972C2×D59—22no—
973C2×D59—22no—
974C2×D59—22no—
975C2×D59—22no—
976C2×D59—22no—
977C2×D59—22no—
978C2×D59—22no—
979C2×D59—22no—
980C2×D59—22no—
981C2×D59—22no—
982C2×D59—22no—
983C2×D59—22no—
984C2×D59—22no—
985C2×D59—22no—
986C2×D59—22no—
987C2×D59—22no—
988C2×D59—22no—
989C2×D59—22no—
990C2×D59—22no—
991C2×D59—22no—
992C2×D59—416no—
993C2×D59—416no—
994C2×D59—416no—
995C2×D59—416no—
996C2×D59—416no—
997C2×D59—41no—
998C2×D59—41no—
999C2×D59—41no—
1000C2×D59—41no—
1001C2×D59—41no—
1002C2×D59—41no—
1003C2×D59—41no—
1004C2×D59—41no—
1005C2×D59—88no—
1006C2×D59C2×C4×D414yes—
1007C2×D59C2×C4×D414yes—
1008C2×D59#51814yescomplemented
1009C4×C59—22no—
1010C4×C59—22no—
1011C4×C59—22no—
1012C4×C59—22no—
1013C4×C59—22no—
1014C4×C59—41no—
1015C4×C59—41no—
1016C4×C59—41no—
1017C4×C59—41no—
1018C4×C59—41no—
1019C4×C59—41no—
1020Dic59—22no—
1021Dic59—22no—
1022Dic59—22no—
1023Dic59—22no—
1024Dic59—22no—
1025Dic59—41no—
1026Dic59—41no—
1027Dic59—41no—
1028Dic59—41no—
1029Dic59—41no—
1030Dic59—41no—
1031C22×#120—591no—
1032C2×#518—591no—
1033C23×C22⋊C4—591no—
1034#2358—591no—
1035#2358—591no—
1036#2358—591no—
1037#2358—591no—
1038#2358—591no—
1039#2358—591no—
1040#2358—591no—
1041#2358D5911yescharacteristic, complemented
1042#2342—591no—
1043#2342—591no—
1044#2342—591no—
1045#2342—591no—
1046D4×C22⋊C4—591no—
1047D4×C22⋊C4—591no—
1048D4×C22⋊C4—591no—
1049D4×C22⋊C4—591no—
1050#2321—591no—
1051#2321—591no—
1052#2321—591no—
1053#2321—591no—
1054#2315—591no—
1055#2308—591no—
1056C4×#120—591no—
1057C4×#120—591no—
1058C4×#120—591no—
1059C4×#120—591no—
1060C2×#379—591no—
1061#2273—591no—
1062C2×C59—24no—
1063C2×C59—24no—
1064C2×C59—42no—
1065C2×C59—42no—
1066C2×C59C22×C4×D411yescharacteristic
1067C2×C59C2×#51811yescharacteristic
1068C2×C59C2×#51811yescharacteristic
1069C2×C59#348411yescharacteristic
1070C2×C59#348411yescharacteristic
1071C2×C59#349011yescharacteristic
1072C2×C59#349011yescharacteristic
1073D59—24no—
1074D59—24no—
1075D59—24no—
1076D59—42no—
1077D59—42no—
1078C26—591no—
1079C23×D4—591no—
1080C23×D4—591no—
1081C23×D4—591no—
1082C24×C4—591no—
1083C24×C4—591no—
1084C2×#120—591no—
1085C2×#120—591no—
1086C2×#120—591no—
1087C2×#120—591no—
1088C2×#120—5916no—
1089C2×#120—591no—
1090C2×#120—591no—
1091C2×#120—591no—
1092C2×#120C2×D5911yescharacteristic
1093#518—1188no—
1094C2×C4×D4—591no—
1095C2×C4×D4—591no—
1096C2×C4×D4—591no—
1097C2×C4×D4—591no—
1098C2×C4×D4—591no—
1099C2×C4×D4—591no—
1100C2×C4×D4—591no—
1101C2×C4×D4—591no—
1102C2×C4×D4—591no—
1103C2×C4×D4—591no—
1104C2×C4×D4—591no—
1105C2×C4×D4—591no—
1106C2×C4×D4—591no—
1107C2×C4×D4—591no—
1108C2×C4×D4C2×D5911yescharacteristic, complemented
1109C2×C4×D4C2×D5911yescharacteristic, complemented
1110C2×#117—591no—
1111C2×#117—591no—
1112C22×C22⋊C4—591no—
1113C22×C22⋊C4—591no—
1114C22×C22⋊C4—591no—
1115C22×C22⋊C4—591no—
1116C22×C22⋊C4—591no—
1117C22×C22⋊C4—591no—
1118C22×C22⋊C4—591no—
1119C22×C22⋊C4—591no—
1120C22×C22⋊C4—591no—
1121C22×C22⋊C4—591no—
1122C22×C22⋊C4—591no—
1123C22×C22⋊C4—591no—
1124C22×C22⋊C4—591no—
1125C22×C22⋊C4—591no—
1126C22×C22⋊C4—591no—
1127C22×C22⋊C4—591no—
1128C22×C22⋊C4—591no—
1129C22×C22⋊C4—591no—
1130C22×C22⋊C4—591no—
1131C22×C22⋊C4—591no—
1132C22×C22⋊C4—591no—
1133C22×C22⋊C4—1188no—
1134C22×C22⋊C4C2×D5911yescharacteristic, complemented
1135C22×C22⋊C4C2×D5911yescharacteristic, complemented
1136#390—591no—
1137#390—591no—
1138#390—591no—
1139#390—591no—
1140#390—591no—
1141#390—591no—
1142#390—591no—
1143#390C2×D5911yescharacteristic, complemented
1144#388—591no—
1145#388—591no—
1146#388—591no—
1147#388—591no—
1148#388—591no—
1149#388—591no—
1150#388—591no—
1151#388—591no—
1152#388—591no—
1153#388—591no—
1154#388—591no—
1155#388—591no—
1156#388—591no—
1157#388—591no—
1158#388C2×D5911yescharacteristic, complemented
1159#388C2×D5911yescharacteristic, complemented
1160#386—591no—
1161#386—591no—
1162#386—591no—
1163#386—591no—
1164#386—591no—
1165#386—591no—
1166#386—591no—
1167#386—591no—
1168#386—591no—
1169#386—591no—
1170#386—591no—
1171#386—591no—
1172#386—591no—
1173#386—591no—
1174#386—591no—
1175#386—591no—
1176#386—591no—
1177#386—591no—
1178#386—591no—
1179#386—591no—
1180#386—591no—
1181#386C2×D5911yescharacteristic, complemented
1182#386C2×D5911yescharacteristic, complemented
1183#386C2×D5911yescharacteristic, complemented
1184#385—591no—
1185#385—591no—
1186#385—591no—
1187#385—591no—
1188#385—591no—
1189#385—591no—
1190#385—591no—
1191#385—591no—
1192#385—591no—
1193#385—591no—
1194#385—591no—
1195#385—591no—
1196#385—591no—
1197#385—591no—
1198#385C2×D5911yescharacteristic, complemented
1199#385C2×D5911yescharacteristic, complemented
1200#381—591no—
1201#381—591no—
1202#380—591no—
1203#380—591no—
1204#380—591no—
1205#380—591no—
1206#379—591no—
1207#379—591no—
1208#379—591no—
1209#379—591no—
1210#379—591no—
1211#379—591no—
1212#379—591no—
1213#379—591no—
1214#379—591no—
1215#379—591no—
1216C4×C22⋊C4—591no—
1217C4×C22⋊C4—591no—
1218C4×C22⋊C4—591no—
1219C4×C22⋊C4—591no—
1220C4×C22⋊C4—591no—
1221C4×C22⋊C4—591no—
1222C4×C22⋊C4—591no—
1223C4×C22⋊C4—591no—
1224C4×C22⋊C4—591no—
1225C4×C22⋊C4—591no—
1226C4×C22⋊C4—591no—
1227C4×C22⋊C4—591no—
1228C4×C22⋊C4—591no—
1229C4×C22⋊C4—591no—
1230C4×C22⋊C4—591no—
1231C4×C22⋊C4—591no—
1232C4×C22⋊C4—591no—
1233C4×C22⋊C4—591no—
1234C4×C22⋊C4C2×D5911yescharacteristic, complemented
1235C4×C22⋊C4C2×D5911yescharacteristic, complemented
1236C59#3419811yescharacteristic, complemented, Sylow
1237C25—591no—
1238C25—591no—
1239C25—591no—
1240C25—591no—
1241C25—591no—
1242C25—598no—
1243C25—591no—
1244C25—591no—
1245C25—1184no—
1246C25—1184no—
1247C25—2362no—
1248C25—2362no—
1249C25—2362no—
1250C25—2362no—
1251C25C22×D5911yescharacteristic
1252C22×D4—591no—
1253C22×D4—591no—
1254C22×D4—591no—
1255C22×D4—591no—
1256C22×D4—591no—
1257C22×D4—591no—
1258C22×D4—598no—
1259C22×D4—598no—
1260C22×D4—598no—
1261C22×D4—591no—
1262C22×D4—591no—
1263C22×D4—591no—
1264C22×D4—1184no—
1265C22×D4—1184no—
1266C22×D4—2362no—
1267C22×D4—2362no—
1268C22×D4—2362no—
1269C22×D4—2362no—
1270C22×D4C22×D5911yescharacteristic
1271C22×D4C22×D5911yescharacteristic
1272C22×D4C22×D5911yescharacteristic
1273C23×C4—591no—
1274C23×C4—591no—
1275C23×C4—591no—
1276C23×C4—591no—
1277C23×C4—591no—
1278C23×C4—591no—
1279C23×C4—591no—
1280C23×C4—591no—
1281C23×C4—591no—
1282C23×C4—591no—
1283C23×C4—591no—
1284C23×C4—591no—
1285C23×C4—591no—
1286C23×C4—591no—
1287C23×C4—591no—
1288C23×C4—591no—
1289C23×C4—591no—
1290C23×C4—591no—
1291C23×C4—1184no—
1292C23×C4—1184no—
1293C23×C4—2362no—
1294C23×C4—2362no—
1295C23×C4—2362no—
1296C23×C4—2362no—
1297C23×C4C22×D5911yescharacteristic
1298C23×C4C22×D5911yescharacteristic
1299C23×C4C22×D5911yescharacteristic
1300C23×C4C22×D5911yescharacteristic
1301C23×C4C22×D5911yescharacteristic, complemented
1302#120—598no—
1303#120—598no—
1304#120—598no—
1305#120—598no—
1306#120—598no—
1307#120—598no—
1308#120—598no—
1309#120C4×D5918yescomplemented
1310C4×D4—24no—
1311C4×D4—42no—
1312C4×D4—1184no—
1313C4×D4—1184no—
1314C4×D4—1184no—
1315C4×D4—1184no—
1316C4×D4—1184no—
1317C4×D4—1184no—
1318C4×D4—1184no—
1319C4×D4—2362no—
1320C4×D4—2362no—
1321C4×D4—2362no—
1322C4×D4—2362no—
1323C4×D4—2362no—
1324C4×D4—2362no—
1325C4×D4—2362no—
1326#117—1184no—
1327#117—1184no—
1328C2×C4⋊C4—591no—
1329C2×C4⋊C4—591no—
1330C2×C4⋊C4—591no—
1331C2×C4⋊C4—591no—
1332C2×C4⋊C4—591no—
1333C2×C4⋊C4—591no—
1334C2×C4⋊C4—591no—
1335C2×C4⋊C4—591no—
1336C2×C4⋊C4—591no—
1337C2×C4⋊C4C22×D5911yescharacteristic, complemented
1338C2×C4⋊C4C22×D5911yescharacteristic, complemented
1339C2×C4⋊C4C22×D5911yescharacteristic, complemented
1340C2×C22⋊C4—24no—
1341C2×C22⋊C4—42no—
1342C2×C22⋊C4—591no—
1343C2×C22⋊C4—591no—
1344C2×C22⋊C4—591no—
1345C2×C22⋊C4—591no—
1346C2×C22⋊C4—591no—
1347C2×C22⋊C4—591no—
1348C2×C22⋊C4—591no—
1349C2×C22⋊C4—591no—
1350C2×C22⋊C4—591no—
1351C2×C22⋊C4—591no—
1352C2×C22⋊C4—591no—
1353C2×C22⋊C4—591no—
1354C2×C22⋊C4—598no—
1355C2×C22⋊C4—598no—
1356C2×C22⋊C4—598no—
1357C2×C22⋊C4—598no—
1358C2×C22⋊C4—591no—
1359C2×C22⋊C4—591no—
1360C2×C22⋊C4—591no—
1361C2×C22⋊C4—591no—
1362C2×C22⋊C4—591no—
1363C2×C22⋊C4—591no—
1364C2×C22⋊C4—591no—
1365C2×C22⋊C4—591no—
1366C2×C22⋊C4—591no—
1367C2×C22⋊C4—591no—
1368C2×C22⋊C4—591no—
1369C2×C22⋊C4—591no—
1370C2×C22⋊C4—591no—
1371C2×C22⋊C4—591no—
1372C2×C22⋊C4—591no—
1373C2×C22⋊C4—591no—
1374C2×C22⋊C4—591no—
1375C2×C22⋊C4—591no—
1376C2×C22⋊C4—591no—
1377C2×C22⋊C4—591no—
1378C2×C22⋊C4—591no—
1379C2×C22⋊C4—591no—
1380C2×C22⋊C4—591no—
1381C2×C22⋊C4—591no—
1382C2×C22⋊C4—591no—
1383C2×C22⋊C4—591no—
1384C2×C22⋊C4—591no—
1385C2×C22⋊C4—591no—
1386C2×C22⋊C4—591no—
1387C2×C22⋊C4—591no—
1388C2×C22⋊C4—591no—
1389C2×C22⋊C4—591no—
1390C2×C22⋊C4—591no—
1391C2×C22⋊C4—591no—
1392C2×C22⋊C4—591no—
1393C2×C22⋊C4—591no—
1394C2×C22⋊C4—591no—
1395C2×C22⋊C4—591no—
1396C2×C22⋊C4—1184no—
1397C2×C22⋊C4—1184no—
1398C2×C22⋊C4—1184no—
1399C2×C22⋊C4—1184no—
1400C2×C22⋊C4—1184no—
1401C2×C22⋊C4—1184no—
1402C2×C22⋊C4—1184no—
1403C2×C22⋊C4—1184no—
1404C2×C22⋊C4—1184no—
1405C2×C22⋊C4—1184no—
1406C2×C22⋊C4—1184no—
1407C2×C22⋊C4—1184no—
1408C2×C22⋊C4—1184no—
1409C2×C22⋊C4—1184no—
1410C2×C22⋊C4—2362no—
1411C2×C22⋊C4—2362no—
1412C2×C22⋊C4—2362no—
1413C2×C22⋊C4C22×D5911yescharacteristic
1414C2×C22⋊C4C22×D5911yescharacteristic
1415C2×C22⋊C4C22×D5911yescharacteristic
1416C2×C22⋊C4C22×D5911yescharacteristic
1417C2×C22⋊C4C22×D5911yescharacteristic
1418C2×C22⋊C4C22×D5911yescharacteristic
1419C2×C22⋊C4C22×D5911yescharacteristic
1420C2×C22⋊C4C22×D5911yescharacteristic
1421C2×C22⋊C4C22×D5911yescharacteristic
1422C2×C22⋊C4C22×D5911yescharacteristic
1423C2×C22⋊C4C22×D5911yescharacteristic
1424C2×C22⋊C4C22×D5911yescharacteristic, complemented
1425C2×C22⋊C4C22×D5911yescharacteristic, complemented
1426C2×C22⋊C4C22×D5911yescharacteristic, complemented
1427C2×C42—591no—
1428C2×C42—591no—
1429C2×C42—591no—
1430C2×C42—591no—
1431C2×C42—591no—
1432C2×C42—591no—
1433C2×C42—591no—
1434C2×C42—591no—
1435C2×C42—591no—
1436C2×C42C22×D5911yescharacteristic, complemented
1437C2×C42C22×D5911yescharacteristic, complemented
1438C2×C42C22×D5911yescharacteristic, complemented
1439#95—591no—
1440#95—591no—
1441#95—591no—
1442#95—591no—
1443#95—591no—
1444#95—591no—
1445#95—591no—
1446#95—591no—
1447#95—591no—
1448#95—591no—
1449#95—591no—
1450#95—591no—
1451#95—591no—
1452#95—591no—
1453#95—591no—
1454#95—591no—
1455#95—591no—
1456#95—591no—
1457#95C22×D5911yescharacteristic, complemented
1458#95C22×D5911yescharacteristic, complemented
1459#95C22×D5911yescharacteristic, complemented
1460#95C22×D5911yescharacteristic, complemented
1461#95C22×D5911yescharacteristic, complemented
1462#95C22×D5911yescharacteristic, complemented
1463C24—22no—
1464C24—22no—
1465C24—22no—
1466C24—22no—
1467C24—41no—
1468C24—41no—
1469C24—591no—
1470C24—591no—
1471C24—591no—
1472C24—594no—
1473C24—594no—
1474C24—594no—
1475C24—594no—
1476C24—591no—
1477C24—591no—
1478C24—594no—
1479C24—594no—
1480C24—594no—
1481C24—594no—
1482C24—594no—
1483C24—1182no—
1484C24—1182no—
1485C24—1182no—
1486C24—1182no—
1487C24—1182no—
1488C24—1182no—
1489C24—1182no—
1490C24—1182no—
1491C24—1182no—
1492C24—1182no—
1493C24—1182no—
1494C24—1182no—
1495C24—1182no—
1496C24—1182no—
1497C24—1182no—
1498C24—1182no—
1499C24—11832no—
1500C24—1182no—
1501C24—1182no—
1502C24—1182no—
1503C24—1182no—
1504C24—1182no—
1505C24—1182no—
1506C24—2361no—
1507C24—2361no—
1508C24—2361no—
1509C24—2361no—
1510C24—2361no—
1511C24—2361no—
1512C24—2361no—
1513C24—2361no—
1514C24—2361no—
1515C24—2361no—
1516C24—2361no—
1517C24—2361no—
1518C24—2361no—
1519C24—2361no—
1520C24—2361no—
1521C24—2361no—
1522C24—2361no—
1523C24—2361no—
1524C24—23616no—
1525C24—23616no—
1526C24—23616no—
1527C24—23616no—
1528C24—23616no—
1529C24—23616no—
1530C24C2×C4×D5914yes—
1531C24C23×D5911yescharacteristic
1532C24C23×D5911yescharacteristic
1533C24C23×D5911yescharacteristic
1534C24C23×D5911yescharacteristic
1535C2×D4—22no—
1536C2×D4—22no—
1537C2×D4—22no—
1538C2×D4—22no—
1539C2×D4—41no—
1540C2×D4—41no—
1541C2×D4—594no—
1542C2×D4—594no—
1543C2×D4—594no—
1544C2×D4—594no—
1545C2×D4—594no—
1546C2×D4—594no—
1547C2×D4—594no—
1548C2×D4—594no—
1549C2×D4—594no—
1550C2×D4—1182no—
1551C2×D4—1182no—
1552C2×D4—1182no—
1553C2×D4—1182no—
1554C2×D4—11832no—
1555C2×D4—1182no—
1556C2×D4—1182no—
1557C2×D4—1182no—
1558C2×D4—1182no—
1559C2×D4—1182no—
1560C2×D4—1182no—
1561C2×D4—1182no—
1562C2×D4—1182no—
1563C2×D4—2361no—
1564C2×D4—2361no—
1565C2×D4—2361no—
1566C2×D4—2361no—
1567C2×D4—2361no—
1568C2×D4—2361no—
1569C2×D4—23616no—
1570C2×D4—23616no—
1571C2×D4C2×C4×D5914yes—
1572C2×D4C2×C4×D5914yescomplemented
1573C2×D4C2×C4×D5914yescomplemented
1574C22×C4—22no—
1575C22×C4—22no—
1576C22×C4—22no—
1577C22×C4—22no—
1578C22×C4—22no—
1579C22×C4—22no—
1580C22×C4—22no—
1581C22×C4—41no—
1582C22×C4—41no—
1583C22×C4—41no—
1584C22×C4—41no—
1585C22×C4—41no—
1586C22×C4—41no—
1587C22×C4—41no—
1588C22×C4—41no—
1589C22×C4—591no—
1590C22×C4—591no—
1591C22×C4—591no—
1592C22×C4—591no—
1593C22×C4—591no—
1594C22×C4—594no—
1595C22×C4—594no—
1596C22×C4—594no—
1597C22×C4—594no—
1598C22×C4—594no—
1599C22×C4—591no—
1600C22×C4—591no—
1601C22×C4—591no—
1602C22×C4—591no—
1603C22×C4—591no—
1604C22×C4—591no—
1605C22×C4—1182no—
1606C22×C4—1182no—
1607C22×C4—1182no—
1608C22×C4—1182no—
1609C22×C4—1182no—
1610C22×C4—1182no—
1611C22×C4—1182no—
1612C22×C4—1182no—
1613C22×C4—1182no—
1614C22×C4—1182no—
1615C22×C4—1182no—
1616C22×C4—1182no—
1617C22×C4—1182no—
1618C22×C4—1182no—
1619C22×C4—1182no—
1620C22×C4—1182no—
1621C22×C4—1182no—
1622C22×C4—1182no—
1623C22×C4—1182no—
1624C22×C4—1182no—
1625C22×C4—1182no—
1626C22×C4—2361no—
1627C22×C4—2361no—
1628C22×C4—2361no—
1629C22×C4—2361no—
1630C22×C4—2361no—
1631C22×C4—2361no—
1632C22×C4—2361no—
1633C22×C4—2361no—
1634C22×C4—2361no—
1635C22×C4—2361no—
1636C22×C4—2361no—
1637C22×C4—2361no—
1638C22×C4—2361no—
1639C22×C4—2361no—
1640C22×C4—2361no—
1641C22×C4—2361no—
1642C22×C4—2361no—
1643C22×C4—2361no—
1644C22×C4—2361no—
1645C22×C4—2361no—
1646C22×C4—23616no—
1647C22×C4—23616no—
1648C22×C4—2361no—
1649C22×C4—2361no—
1650C22×C4—2361no—
1651C22×C4—2361no—
1652C22×C4—2361no—
1653C22×C4—2361no—
1654C22×C4—2361no—
1655C22×C4—2361no—
1656C22×C4C23×D5911yescharacteristic
1657C22×C4C23×D5911yescharacteristic
1658C22×C4C23×D5911yescharacteristic
1659C22×C4C23×D5911yescharacteristic
1660C22×C4C23×D5911yescharacteristic
1661C22×C4C23×D5911yescharacteristic
1662C22×C4C23×D5911yescharacteristic
1663C22×C4C23×D5911yescharacteristic
1664C22×C4C23×D5911yescharacteristic
1665C22×C4C23×D5911yescharacteristic
1666C22×C4C23×D5911yescharacteristic
1667C4⋊C4—22no—
1668C4⋊C4—41no—
1669C4⋊C4—41no—
1670C4⋊C4—1182no—
1671C4⋊C4—1182no—
1672C4⋊C4—1182no—
1673C4⋊C4—2361no—
1674C4⋊C4—2361no—
1675C4⋊C4—2361no—
1676C4⋊C4—2361no—
1677C4⋊C4—2361no—
1678C4⋊C4—2361no—
1679C22⋊C4—22no—
1680C22⋊C4—22no—
1681C22⋊C4—22no—
1682C22⋊C4—22no—
1683C22⋊C4—22no—
1684C22⋊C4—22no—
1685C22⋊C4—41no—
1686C22⋊C4—41no—
1687C22⋊C4—41no—
1688C22⋊C4—41no—
1689C22⋊C4—594no—
1690C22⋊C4—594no—
1691C22⋊C4—594no—
1692C22⋊C4—594no—
1693C22⋊C4—594no—
1694C22⋊C4—594no—
1695C22⋊C4—594no—
1696C22⋊C4—594no—
1697C22⋊C4—594no—
1698C22⋊C4—594no—
1699C22⋊C4—594no—
1700C22⋊C4—594no—
1701C22⋊C4—1182no—
1702C22⋊C4—1182no—
1703C22⋊C4—1182no—
1704C22⋊C4—1182no—
1705C22⋊C4—1182no—
1706C22⋊C4—1182no—
1707C22⋊C4—1182no—
1708C22⋊C4—1182no—
1709C22⋊C4—1182no—
1710C22⋊C4—1182no—
1711C22⋊C4—1182no—
1712C22⋊C4—1182no—
1713C22⋊C4—1182no—
1714C22⋊C4—1182no—
1715C22⋊C4—1182no—
1716C22⋊C4—1182no—
1717C22⋊C4—1182no—
1718C22⋊C4—1182no—
1719C22⋊C4—1182no—
1720C22⋊C4—1182no—
1721C22⋊C4—1182no—
1722C22⋊C4—1182no—
1723C22⋊C4—1182no—
1724C22⋊C4—1182no—
1725C22⋊C4—1182no—
1726C22⋊C4—1182no—
1727C22⋊C4—2361no—
1728C22⋊C4—2361no—
1729C22⋊C4—2361no—
1730C22⋊C4—2361no—
1731C22⋊C4—2361no—
1732C22⋊C4—2361no—
1733C22⋊C4—2361no—
1734C22⋊C4—2361no—
1735C22⋊C4—2361no—
1736C22⋊C4—2361no—
1737C22⋊C4—2361no—
1738C22⋊C4—2361no—
1739C22⋊C4C2×C4×D5914yes—
1740C22⋊C4C2×C4×D5914yescomplemented
1741C22⋊C4C2×C4×D5914yescomplemented
1742C22⋊C4D4×D5914yescomplemented
1743C42—22no—
1744C42—41no—
1745C42—41no—
1746C42—1182no—
1747C42—1182no—
1748C42—1182no—
1749C42—2361no—
1750C42—2361no—
1751C42—2361no—
1752C42—2361no—
1753C42—2361no—
1754C42—2361no—
1755C23—21no—
1756C23—21no—
1757C23—21no—
1758C23—21no—
1759C23—21no—
1760C23—21no—
1761C23—21no—
1762C23—21no—
1763C23—21no—
1764C23—21no—
1765C23—21no—
1766C23—21no—
1767C23—21no—
1768C23—21no—
1769C23—21no—
1770C23—21no—
1771C23—21no—
1772C23—21no—
1773C23—21no—
1774C23—21no—
1775C23—28no—
1776C23—28no—
1777C23—44no—
1778C23—44no—
1779C23—44no—
1780C23—44no—
1781C23—44no—
1782C23—592no—
1783C23—592no—
1784C23—592no—
1785C23—592no—
1786C23—592no—
1787C23—592no—
1788C23—592no—
1789C23—592no—
1790C23—592no—
1791C23—5916no—
1792C23—592no—
1793C23—592no—
1794C23—1188no—
1795C23—1188no—
1796C23—1188no—
1797C23—1188no—
1798C23—1188no—
1799C23—1188no—
1800C23—1188no—
1801C23—1188no—
1802C23—1188no—
1803C23—1188no—
1804C23—1188no—
1805C23—1188no—
1806C23—1181no—
1807C23—1181no—
1808C23—1181no—
1809C23—1181no—
1810C23—1181no—
1811C23—1181no—
1812C23—1181no—
1813C23—1181no—
1814C23—1181no—
1815C23—1181no—
1816C23—1181no—
1817C23—1181no—
1818C23—1188no—
1819C23—1181no—
1820C23—1181no—
1821C23—1181no—
1822C23—1181no—
1823C23—1181no—
1824C23—1181no—
1825C23—1181no—
1826C23—1181no—
1827C23—1181no—
1828C23—1181no—
1829C23—1181no—
1830C23—1181no—
1831C23—1188no—
1832C23—1188no—
1833C23—4722no—
1834C23—4722no—
1835C23—4722no—
1836C23—4722no—
1837C23—2364no—
1838C23—2364no—
1839C23—2364no—
1840C23—2364no—
1841C23—2364no—
1842C23—2364no—
1843C23—2364no—
1844C23—2364no—
1845C23—2364no—
1846C23—2364no—
1847C23—2364no—
1848C23—2364no—
1849C23—2364no—
1850C23—2364no—
1851C23—2364no—
1852C23—2364no—
1853C23—2364no—
1854C23—2364no—
1855C23—2364no—
1856C23—2364no—
1857C23—2364no—
1858C23—2364no—
1859C23—2364no—
1860C23—2364no—
1861C23—2364no—
1862C23—236128no—
1863C23—2364no—
1864C23—2364no—
1865C23—2364no—
1866C23—2364no—
1867C23C22×C4×D5912yes—
1868C23C22×C4×D5912yes—
1869C23C22×C4×D5912yes—
1870C23C22×C4×D5912yes—
1871C23C2×D4×D5912yes—
1872C23#41×D5912yes—
1873C23#1427377212yes—
1874C23#1427377312yes—
1875C23C24×D5911yescharacteristic
1876D4—28no—
1877D4—28no—
1878D4—44no—
1879D4—1188no—
1880D4—1188no—
1881D4—1188no—
1882D4—1188no—
1883D4—1188no—
1884D4—1188no—
1885D4—2364no—
1886D4—2364no—
1887D4—2364no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—21no—
1896C2×C4—21no—
1897C2×C4—21no—
1898C2×C4—21no—
1899C2×C4—21no—
1900C2×C4—21no—
1901C2×C4—21no—
1902C2×C4—21no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—21no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—21no—
1909C2×C4—21no—
1910C2×C4—21no—
1911C2×C4—21no—
1912C2×C4—21no—
1913C2×C4—21no—
1914C2×C4—21no—
1915C2×C4—21no—
1916C2×C4—44no—
1917C2×C4—44no—
1918C2×C4—82no—
1919C2×C4—82no—
1920C2×C4—82no—
1921C2×C4—592no—
1922C2×C4—592no—
1923C2×C4—592no—
1924C2×C4—592no—
1925C2×C4—592no—
1926C2×C4—1188no—
1927C2×C4—1181no—
1928C2×C4—1181no—
1929C2×C4—1181no—
1930C2×C4—1181no—
1931C2×C4—1181no—
1932C2×C4—1181no—
1933C2×C4—1181no—
1934C2×C4—1181no—
1935C2×C4—1181no—
1936C2×C4—1181no—
1937C2×C4—1181no—
1938C2×C4—1181no—
1939C2×C4—1181no—
1940C2×C4—1181no—
1941C2×C4—1181no—
1942C2×C4—1181no—
1943C2×C4—1181no—
1944C2×C4—1181no—
1945C2×C4—1181no—
1946C2×C4—1181no—
1947C2×C4—1181no—
1948C2×C4—1181no—
1949C2×C4—1181no—
1950C2×C4—1181no—
1951C2×C4—1181no—
1952C2×C4—1181no—
1953C2×C4—1181no—
1954C2×C4—1181no—
1955C2×C4—4722no—
1956C2×C4—4722no—
1957C2×C4—4722no—
1958C2×C4—4722no—
1959C2×C4—4722no—
1960C2×C4—2364no—
1961C2×C4—2364no—
1962C2×C4—2364no—
1963C2×C4—2364no—
1964C2×C4—2364no—
1965C2×C4—2364no—
1966C2×C4—2364no—
1967C2×C4—2364no—
1968C2×C4—2364no—
1969C2×C4—2364no—
1970C2×C4—2364no—
1971C2×C4—2364no—
1972C2×C4C22×C4×D5912yes—
1973C2×C4C22×C4×D5912yes—
1974C2×C4C22×C4×D5912yes—
1975C2×C4C2×D4×D5912yes—
1976C2×C4C2×D4×D5912yes—
1977C22—22no—
1978C22—22no—
1979C22—22no—
1980C22—22no—
1981C22—22no—
1982C22—22no—
1983C22—22no—
1984C22—22no—
1985C22—22no—
1986C22—22no—
1987C22—22no—
1988C22—22no—
1989C22—22no—
1990C22—22no—
1991C22—22no—
1992C22—22no—
1993C22—22no—
1994C22—22no—
1995C22—416no—
1996C22—41no—
1997C22—41no—
1998C22—41no—
1999C22—41no—
2000C22—41no—
2001C22—41no—
2002C22—41no—
2003C22—41no—
2004C22—594no—
2005C22—594no—
2006C22—594no—
2007C22—11832no—
2008C22—1182no—
2009C22—1182no—
2010C22—1182no—
2011C22—1182no—
2012C22—1182no—
2013C22—1182no—
2014C22—1182no—
2015C22—1182no—
2016C22—1182no—
2017C22—1182no—
2018C22—1182no—
2019C22—1182no—
2020C22—1182no—
2021C22—1182no—
2022C22—1182no—
2023C22—1182no—
2024C22—1182no—
2025C22—1182no—
2026C22—1182no—
2027C22—1182no—
2028C22—1182no—
2029C22—1182no—
2030C22—1182no—
2031C22—1182no—
2032C22—4728no—
2033C22—23616no—
2034C22—23616no—
2035C22—23616no—
2036C22—23616no—
2037C22—23616no—
2038C22—2361no—
2039C22—2361no—
2040C22—2361no—
2041C22—2361no—
2042C22—2361no—
2043C22—2361no—
2044C22—2361no—
2045C22—2361no—
2046C22C4×D4×D5914yes—
2047C22#1683787414yescomplemented
2048C22C23×C4×D5911yescharacteristic
2049C22C22×D4×D5911yescharacteristic
2050C22C2×#41×D5911yescharacteristic
2051C22H(5,𝔽2)×D5911yescharacteristic
2052C22H(5,𝔽2)×D5911yescharacteristic
2053C22C2×#1427377211yescharacteristic
2054C22C2×#1427377311yescharacteristic
2055C4—22no—
2056C4—22no—
2057C4—22no—
2058C4—22no—
2059C4—22no—
2060C4—41no—
2061C4—41no—
2062C4—41no—
2063C4—41no—
2064C4—41no—
2065C4—41no—
2066C4—1182no—
2067C4—1182no—
2068C4—1182no—
2069C4—1182no—
2070C4—1182no—
2071C4—2361no—
2072C4—2361no—
2073C4—2361no—
2074C4—2361no—
2075C4—2361no—
2076C4—2361no—
2077C2—24no—
2078C2—24no—
2079C2—42no—
2080C2—42no—
2081C2—1184no—
2082C2—1184no—
2083C2—1184no—
2084C2—2362no—
2085C2—2362no—
2086C2C2×C4×D4×D5911yescharacteristic
2087C2#518×D5911yescharacteristic
2088C2C2×#1683787411yescharacteristic
2089C2#2143772411yescharacteristic
2090C2#2143772611yescharacteristic
2091C2#2143777811yescharacteristic
2092C2#2143778011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2358C2
socle, cosocleC23×C59C25
prime radicalC2×#120×D59C2
hypercenter#2358D59
hypocenterC59#34198
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2358

Complements

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

NH ≅ G/Ntype
2. C2×#16837874C2semidirect
3. C22×C22⋊C4×D59C2semidirect
4. #21427080C2semidirect
5. #21427078C2semidirect
6. #21427076C2semidirect
7. #21427075C2semidirect
8. #21427075C2semidirect
9. #21427073C2semidirect
10. #21427072C2semidirect
11. #21426944C2semidirect
12. #21426943C2semidirect
13. #21426940C2semidirect
14. #21426939C2semidirect
15. #21426917C2semidirect
16. #21426914C2semidirect
17. #21426914C2semidirect
18. D4×(C2×D59)⋊C4C2semidirect
19. #21426758C2semidirect
20. #21426755C2semidirect
21. #21426752C2semidirect
22. #21426749C2semidirect
23. #21426707C2semidirect
24. #21426670C2semidirect
25. #21426601C2semidirect
26. C4×#14273697C2semidirect
27. #21426597C2semidirect
28. C4×#14273695C2semidirect
29. C2×#16837257C2semidirect
30. #21426448C2semidirect
31. C59×#2358C2semidirect
36. C23×C4×D59C22semidirect
37. C23×C4×D59C22semidirect
45. #120×D59C4semidirect
47. C2×C4×D236C22semidirect
48. C2×C4×D236C22semidirect
49. C2×D4×Dic59C22semidirect
50. C2×D4×Dic59C22semidirect
51. C2×#14273689C22semidirect
52. C2×#14273689C22semidirect
53. C2×C4×C22⋊D59C22semidirect
54. C2×C4×C22⋊D59C22semidirect
55. C2×C4×C22⋊D59C22semidirect
56. C2×C4×C22⋊D59C22semidirect
57. C2×(C22⋊D59)⋊C4C22semidirect
58. C2×(C22⋊D59)⋊C4C22semidirect
59. C2×(C22⋊D59)⋊C4C22semidirect
60. C2×(C22⋊D59)⋊C4C22semidirect
61. C2×#14273685C22semidirect
62. C2×#14273684C22semidirect
63. C22×C22⋊Dic59C22semidirect
64. C22×C22⋊Dic59C22semidirect
69. C22×(C2×D59)⋊C4C22semidirect
70. C22×(C2×D59)⋊C4C22semidirect
71. C22×(C2×D59)⋊C4C22semidirect
80. C2×C22⋊C4×D59C22semidirect
81. C2×C22⋊C4×D59C22semidirect
82. C2×C22⋊C4×D59C22semidirect
83. C2×C22⋊C4×D59C22semidirect
84. C2×C22⋊C4×D59C22semidirect
85. #16837305C22semidirect
86. #16837304C22semidirect
87. #16837303C22semidirect
88. #16837302C22semidirect
89. #16837302C22semidirect
90. #16837302C22semidirect
91. #16837302C22semidirect
92. #16837296C22semidirect
93. #16837296C22semidirect
94. #16837295C22semidirect
95. #16837295C22semidirect
96. #16837294C22semidirect
97. #16837294C22semidirect
98. #16837293C22semidirect
99. #16837293C22semidirect
100. #16837292C22semidirect
101. #16837292C22semidirect
102. #16837291C22semidirect
103. #16837291C22semidirect
104. #16837290C22semidirect
105. #16837290C22semidirect
106. #16837282C22semidirect
107. #16837282C22semidirect
108. #16837282C22semidirect
109. #16837281C22semidirect
110. #16837281C22semidirect
111. #16837281C22semidirect
112. #16837280C22semidirect
113. #16837280C22semidirect
114. #16837280C22semidirect
115. #16837280C22semidirect
116. #16837280C22semidirect
117. #16837280C22semidirect
118. #16837279C22semidirect
119. #16837279C22semidirect
120. #16837279C22semidirect
121. #16837278C22semidirect
122. #16837278C22semidirect
123. #16837278C22semidirect
124. #16837278C22semidirect
125. #16837278C22semidirect
126. #16837278C22semidirect
127. #16837277C22semidirect
128. #16837277C22semidirect
129. #16837276C22semidirect
130. #16837276C22semidirect
131. #16837276C22semidirect
132. #16837276C22semidirect
133. #16837275C22semidirect
134. #16837275C22semidirect
135. #16837274C22semidirect
136. #16837274C22semidirect
137. #16837273C22semidirect
138. #16837273C22semidirect
139. #16837273C22semidirect
140. #16837273C22semidirect
141. #16837264C22semidirect
142. #16837264C22semidirect
143. #16837261C22semidirect
144. #16837261C22semidirect
145. #16837259C22semidirect
146. #16837259C22semidirect
151. #16837257C22semidirect
152. #16837257C22semidirect
153. #16837257C22semidirect
154. #16837257C22semidirect
155. #16837257C22semidirect
156. #16837257C22semidirect
157. C22⋊C4×Dic59C22semidirect
158. C22⋊C4×Dic59C22semidirect
159. C22⋊C4×Dic59C22semidirect
160. C22⋊C4×Dic59C22semidirect
161. C4×(C2×D59)⋊C4C22semidirect
162. C4×(C2×D59)⋊C4C22semidirect
163. C4×(C2×D59)⋊C4C22semidirect
164. C4×(C2×D59)⋊C4C22semidirect
165. C4×(C2×D59)⋊C4C22semidirect
166. C4×(C2×D59)⋊C4C22semidirect
167. C4×C22⋊Dic59C22semidirect
168. C4×C22⋊Dic59C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. #16837249C22semidirect
173. #16837249C22semidirect
174. #16837249C22semidirect
176. C2×C4×D4×C59C22semidirect
177. C2×C4×D4×C59C22semidirect
178. C22×C22⋊C4×C59C22semidirect
179. C22×C22⋊C4×C59C22semidirect
180. C59×#390C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
183. C59×#386C22semidirect
184. C59×#386C22semidirect
185. C59×#386C22semidirect
186. C59×#385C22semidirect
187. C59×#385C22semidirect
188. C4×C22⋊C4×C59C22semidirect
189. C4×C22⋊C4×C59C22semidirect
196. C24×D59C2×C4semidirect
219. C2×D4×D59C2×C4semidirect
220. C2×D4×D59C2×C4semidirect
221. C2×D4×D59C2×C4semidirect
226. C23×Dic59C23semidirect
244. C22×C4×D59C23semidirect
245. C22×C4×D59C23semidirect
246. #14273697C2×C4semidirect
247. #14273697C2×C4semidirect
248. #14273697C2×C4semidirect
249. #14273696C2×C4semidirect
250. #14273695C2×C4semidirect
251. #14273695C2×C4semidirect
252. #14273695C2×C4semidirect
269. C2×C4⋊Dic59C23semidirect
270. C2×C4⋊Dic59C23semidirect
271. C2×C4⋊Dic59C23semidirect
272. C2×Dic59⋊C4C23semidirect
273. C2×Dic59⋊C4C23semidirect
274. C2×Dic59⋊C4C23semidirect
275. C2×Dic59⋊C4C23semidirect
276. C2×Dic59⋊C4C23semidirect
277. C2×Dic59⋊C4C23semidirect
291. C2×C22⋊Dic59C23semidirect
292. C2×C22⋊Dic59C23semidirect
293. C2×C22⋊Dic59C23semidirect
331. C2×(C2×D59)⋊C4C23semidirect
332. C2×(C2×D59)⋊C4C23semidirect
333. C2×(C2×D59)⋊C4C23semidirect
334. C2×(C2×D59)⋊C4C23semidirect
335. C2×(C2×D59)⋊C4C23semidirect
336. C2×(C2×D59)⋊C4C23semidirect
345. C22⋊C4×D59C2×C4semidirect
346. C22⋊C4×D59C2×C4semidirect
347. C22⋊C4×D59C2×C4semidirect
348. C22⋊C4×D59D4semidirect
349. C2×C4×Dic59C23semidirect
350. C2×C4×Dic59C23semidirect
351. C2×C4×Dic59C23semidirect
352. C2×C4×Dic59C23semidirect
353. C2×C4×Dic59C23semidirect
354. C2×C4×Dic59C23semidirect
355. C2×C4×Dic59C23semidirect
356. C2×C4×Dic59C23semidirect
357. C2×C4×Dic59C23semidirect
358. C59⋊#95C23semidirect
359. C59⋊#95C23semidirect
360. C59⋊#95C23semidirect
361. C59⋊#95C23semidirect
362. C59⋊#95C23semidirect
363. C59⋊#95C23semidirect
364. C59⋊#95C23semidirect
365. C59⋊#95C23semidirect
366. C59⋊#95C23semidirect
367. C59⋊#95C23semidirect
368. C59⋊#95C23semidirect
369. C59⋊#95C23semidirect
370. C59⋊#95C23semidirect
371. C59⋊#95C23semidirect
372. C59⋊#95C23semidirect
373. C59⋊#95C23semidirect
374. C59⋊#95C23semidirect
375. C59⋊#95C23semidirect
384. C23×C4×C59C23semidirect
385. #120×C59C2×C4semidirect
388. C2×C4⋊C4×C59C23semidirect
389. C2×C4⋊C4×C59C23semidirect
390. C2×C4⋊C4×C59C23semidirect
404. C2×C22⋊C4×C59C23semidirect
405. C2×C22⋊C4×C59C23semidirect
406. C2×C22⋊C4×C59C23semidirect
407. C2×C42×C59C23semidirect
408. C2×C42×C59C23semidirect
409. C2×C42×C59C23semidirect
410. #95×C59C23semidirect
411. #95×C59C23semidirect
412. #95×C59C23semidirect
413. #95×C59C23semidirect
414. #95×C59C23semidirect
415. #95×C59C23semidirect
480. C23×D59C22×C4semidirect
495. C2×D4×C59C22×C4semidirect
496. C2×D4×C59C22×C4semidirect
538. C2×C22⋊D59C22×C4semidirect
539. C2×C22⋊D59C22×C4semidirect
540. C2×C22⋊D59C22×C4semidirect
578. C2×D236C22×C4semidirect
615. C2×C4×D59C22×C4semidirect
616. C2×C4×D59C22×C4semidirect
617. C2×C4×D59C22×C4semidirect
618. C2×C4×D59C2×D4semidirect
619. C2×C4×D59C2×D4semidirect
634. C22⋊C4×C59C22×C4semidirect
635. C22⋊C4×C59C22×C4semidirect
636. C22⋊C4×C59C2×D4semidirect
651. C22⋊Dic59C22×C4semidirect
652. C22⋊Dic59C22×C4semidirect
653. C22⋊Dic59C2×D4semidirect
686. (C2×D59)⋊C4C22×C4semidirect
687. (C2×D59)⋊C4C22×C4semidirect
817. C22×D59C4×D4semidirect
959. C22×C59#518semidirect
1008. C2×D59#518semidirect
1041. #2358D59semidirect
1108. C2×C4×D4C2×D59semidirect
1109. C2×C4×D4C2×D59semidirect
1134. C22×C22⋊C4C2×D59semidirect
1135. C22×C22⋊C4C2×D59semidirect
1143. #390C2×D59semidirect
1158. #388C2×D59semidirect
1159. #388C2×D59semidirect
1181. #386C2×D59semidirect
1182. #386C2×D59semidirect
1183. #386C2×D59semidirect
1198. #385C2×D59semidirect
1199. #385C2×D59semidirect
1234. C4×C22⋊C4C2×D59semidirect
1235. C4×C22⋊C4C2×D59semidirect
1236. C59#34198semidirect
1301. C23×C4C22×D59semidirect
1309. #120C4×D59semidirect
1337. C2×C4⋊C4C22×D59semidirect
1338. C2×C4⋊C4C22×D59semidirect
1339. C2×C4⋊C4C22×D59semidirect
1424. C2×C22⋊C4C22×D59semidirect
1425. C2×C22⋊C4C22×D59semidirect
1426. C2×C22⋊C4C22×D59semidirect
1436. C2×C42C22×D59semidirect
1437. C2×C42C22×D59semidirect
1438. C2×C42C22×D59semidirect
1457. #95C22×D59semidirect
1458. #95C22×D59semidirect
1459. #95C22×D59semidirect
1460. #95C22×D59semidirect
1461. #95C22×D59semidirect
1462. #95C22×D59semidirect
1572. C2×D4C2×C4×D59semidirect
1573. C2×D4C2×C4×D59semidirect
1740. C22⋊C4C2×C4×D59semidirect
1741. C22⋊C4C2×C4×D59semidirect
1742. C22⋊C4D4×D59semidirect
2047. C22#16837874semidirect

Maximal subgroups

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

subgroupindex
C2×#120×D592
C2×#168378742
C22×C22⋊C4×D592
#214270802
#214270782
#214270762
#214270752
#214270732
#214270722
#214269442
#214269432
#214269402
#214269392
#214269172
#214269142
D4×(C2×D59)⋊C42
#214267582
#214267552
#214267522
#214267492
#214267072
#214266702
#214266012
C4×#142736972
#214265972
C4×#142736952
C2×#168372572
#214264482
C59×#23582
#3419859