Finite Group Databasebeta

← #28756616

Subgroups — #28756616

Order 15104.

3700 conjugacy classes of subgroups.

The subgroup lattice has 1944 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837951C211yesmaximal, characteristic, complemented
2C2×#16837915C211yesmaximal, characteristic, complemented
3C2×#16837908C211yesmaximal, characteristic, complemented
4C22×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
5#21428222C211yesmaximal, characteristic, complemented
6#21428108C211yesmaximal, characteristic, complemented
7#21428100C211yesmaximal, characteristic, complemented
8#21428067C211yesmaximal, characteristic, complemented
9#21428059C211yesmaximal, characteristic, complemented
10#21427941C211yesmaximal, characteristic, complemented
11#21427856C211yesmaximal, characteristic, complemented
12#21427795C211yesmaximal, characteristic, complemented
13#21427731C211yesmaximal, characteristic, complemented
14#21427679C211yesmaximal, characteristic, complemented
15#21427634C211yesmaximal, characteristic, complemented
16#21427632C211yesmaximal, characteristic, complemented
17#21427605C211yesmaximal, characteristic, complemented
18#21427535C211yesmaximal, characteristic, complemented
19#21427451C211yesmaximal, characteristic, complemented
20#21427335C211yesmaximal, characteristic, complemented
21#21427333C211yesmaximal, characteristic, complemented
22#21427313C211yesmaximal, characteristic, complemented
23#21427310C211yesmaximal, characteristic, complemented
24#21426660C211yesmaximal, characteristic, complemented
25#21426608C211yesmaximal, characteristic, complemented
26#21426606C211yesmaximal, characteristic, complemented
27#21426601C211yesmaximal, characteristic, complemented
28#21426595C211yesmaximal, characteristic, complemented
29#21426556C211yesmaximal, characteristic, complemented
30C4×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
31C59×#2472C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic, complemented
33C22×#11745687C2211yescharacteristic, complemented
34C23×C22⋊D59C2211yescharacteristic
35C24×Dic59C2211yescharacteristic
36C23×C4×D59C2211yescharacteristic
37#16837951—28no—
38C2×#14273725C2211yescharacteristic, complemented
39C2×#14273723C2211yescharacteristic
40C2×#14273723C2211yescharacteristic
41C2×#14273715C2211yescharacteristic, complemented
42#16837915—28no—
43#16837908—28no—
44C2×#14273712C2211yescharacteristic, complemented
45C2×#14273712C2211yescharacteristic, complemented
46C2×#14273711C2211yescharacteristic, complemented
47C2×#14273708C2211yescharacteristic, complemented
48C2×#14273704C2211yescharacteristic
49C2×#14273704C2211yescharacteristic, complemented
50C2×#14273703C2211yescharacteristic, complemented
51C2×#14273702C2211yescharacteristic, complemented
52C2×#14273701C2211yescharacteristic
53C2×#14273700C2211yescharacteristic
54C2×#14273700C2211yescharacteristic
55C2×#14273700C2211yescharacteristic, complemented
56C2×#14273700C2211yescharacteristic, complemented
57C2×#14273700C2211yescharacteristic, complemented
58C2×#14273699C2211yescharacteristic
59C2×#14273699C2211yescharacteristic
60C2×#14273699C2211yescharacteristic, complemented
61C2×#14273697C2211yescharacteristic
62C2×#14273697C2211yescharacteristic
63C2×#14273696C2211yescharacteristic
64C2×#14273696C2211yescharacteristic
65C2×#14273695C2211yescharacteristic
66C2×D4×Dic59C2211yescharacteristic
67C2×D4×Dic59C2211yescharacteristic, complemented
68C2×#14273689C2211yescharacteristic, complemented
69C2×#14273689C2211yescharacteristic, complemented
70C2×C4×C22⋊D59C2211yescharacteristic
71C2×(C22⋊D59)⋊C4—28no—
72C2×(C22⋊D59)⋊C4C2211yescharacteristic
73C2×(C22⋊D59)⋊C4C2211yescharacteristic
74C2×(C22⋊D59)⋊C4C2211yescharacteristic
75C2×(C22⋊D59)⋊C4C2211yescharacteristic
76C2×(C22⋊D59)⋊C4C2211yescharacteristic
77C2×(C22⋊D59)⋊C4C2211yescharacteristic
78C2×(C22⋊D59)⋊C4C2211yescharacteristic
79C2×(C22⋊D59)⋊C4C2211yescharacteristic
80C2×(C22⋊D59)⋊C4C2211yescharacteristic
81C2×(C22⋊D59)⋊C4C2211yescharacteristic
82C2×(C22⋊D59)⋊C4C2211yescharacteristic
83C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
84C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
85C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
86C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
87C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
88C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
89C2×#14273685C2211yescharacteristic, complemented
90C2×#14273683C2211yescharacteristic, complemented
91C22×Dic59⋊C4C2211yescharacteristic
92C22×(C2×D59)⋊C4C2211yescharacteristic
93C22×C4×Dic59C2211yescharacteristic
94C2×C42×D59C2211yescharacteristic, complemented
95#16837333C2211yescharacteristic, complemented
96#16837332C2211yescharacteristic, complemented
97#16837329C2211yescharacteristic, complemented
98#16837326C2211yescharacteristic, complemented
99#16837326C2211yescharacteristic, complemented
100#16837325C2211yescharacteristic, complemented
101#16837325C2211yescharacteristic, complemented
102#16837322C2211yescharacteristic, complemented
103#16837321C2211yescharacteristic, complemented
104#16837320C2211yescharacteristic, complemented
105#16837320C2211yescharacteristic, complemented
106#16837320C2211yescharacteristic, complemented
107#16837320C2211yescharacteristic, complemented
108#16837317C2211yescharacteristic
109#16837317C2211yescharacteristic
110#16837317C2211yescharacteristic, complemented
111#16837317C2211yescharacteristic, complemented
112#16837317C2211yescharacteristic, complemented
113#16837317C2211yescharacteristic, complemented
114#16837315C2211yescharacteristic, complemented
115#16837311C2211yescharacteristic
116#16837311C2211yescharacteristic
117#16837311C2211yescharacteristic
118#16837311C2211yescharacteristic
119#16837311C2211yescharacteristic, complemented
120#16837311C2211yescharacteristic, complemented
121#16837310C2211yescharacteristic
122#16837310C2211yescharacteristic
123#16837304C2211yescharacteristic, complemented
124#16837302C2211yescharacteristic
125#16837302C2211yescharacteristic
126#16837302C2211yescharacteristic
127#16837302C2211yescharacteristic
128#16837302C2211yescharacteristic, complemented
129#16837302C2211yescharacteristic, complemented
130#16837302C2211yescharacteristic, complemented
131#16837302C2211yescharacteristic, complemented
132#16837299C2211yescharacteristic, complemented
133#16837299C2211yescharacteristic, complemented
134#16837297C2211yescharacteristic, complemented
135#16837297C2211yescharacteristic, complemented
136#16837295C2211yescharacteristic, complemented
137#16837294C2211yescharacteristic, complemented
138#16837293C2211yescharacteristic, complemented
139#16837293C2211yescharacteristic, complemented
140#16837291C2211yescharacteristic, complemented
141#16837290C2211yescharacteristic, complemented
142#16837281C2211yescharacteristic
143#16837280C2211yescharacteristic, complemented
144#16837279C2211yescharacteristic
145#16837279C2211yescharacteristic, complemented
146#16837279C2211yescharacteristic, complemented
147#16837278C2211yescharacteristic, complemented
148#16837278C2211yescharacteristic, complemented
149#16837278C2211yescharacteristic, complemented
150#16837276C2211yescharacteristic, complemented
151#16837276C2211yescharacteristic, complemented
152#16837275C2211yescharacteristic
153#16837274C2211yescharacteristic
154#16837274C2211yescharacteristic, complemented
155#16837274C2211yescharacteristic, complemented
156#16837271C2211yescharacteristic, complemented
157#16837261C2211yescharacteristic, complemented
158#16837260C2211yescharacteristic
159#16837257C2211yescharacteristic
160C4×Dic59⋊C4C2211yescharacteristic, complemented
161#16837253C2211yescharacteristic, complemented
162#16837253C2211yescharacteristic, complemented
163#16837253C2211yescharacteristic, complemented
164C22⋊C4×Dic59C2211yescharacteristic
165C22⋊C4×Dic59C2211yescharacteristic
166C22⋊C4×Dic59C2211yescharacteristic, complemented
167C22⋊C4×Dic59C2211yescharacteristic, complemented
168C22⋊C4×Dic59C2211yescharacteristic, complemented
169C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172#16837249C2211yescharacteristic, complemented
173#16837249C2211yescharacteristic, complemented
174#16837249C2211yescharacteristic, complemented
175C42×Dic59C2211yescharacteristic, complemented
176C2×#124×C59C2211yescharacteristic, complemented
177C2×C22⋊Q8×C59C2211yescharacteristic
178C2×#120×C59C2211yescharacteristic
179C22×C22⋊C4×C59C2211yescharacteristic
180C59×#397C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#394C2211yescharacteristic, complemented
183C59×#393C2211yescharacteristic, complemented
184C59×#390C2211yescharacteristic, complemented
185C59×#388C2211yescharacteristic, complemented
186C59×#388C2211yescharacteristic, complemented
187C59×#386C2211yescharacteristic
188C59×#386C2211yescharacteristic
189C59×#379C2211yescharacteristic
190C4×C22⋊C4×C59C2211yescharacteristic
191C24×D59C2311yescharacteristic
192C2×#11745689—24no—
193C2×#11745689—24no—
194C2×#11745689—42no—
195C2×#11745687—24no—
196C2×#11745687—24no—
197C2×#11745687—42no—
198C22×Dic118C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×D236C2311yescharacteristic
203C22×D236C2311yescharacteristic
204C22×C22⋊D59—24no—
205C22×C22⋊D59—24no—
206C22×C22⋊D59—24no—
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C22×C22⋊D59C2311yescharacteristic
211C22×C22⋊D59C2311yescharacteristic
212C22×C22⋊D59C2311yescharacteristic
213C22×C22⋊D59C2311yescharacteristic
214C22×C22⋊D59C2311yescharacteristic
215C22×C22⋊D59C2311yescharacteristic
216C22×C22⋊D59C2311yescharacteristic
217C22×C22⋊D59C2311yescharacteristic
218C22×C22⋊D59C2311yescharacteristic
219C22×C22⋊D59C2311yescharacteristic
220C22×C22⋊D59C2311yescharacteristic
221C23×Dic59—24no—
222C23×Dic59—24no—
223C23×Dic59—42no—
224C23×Dic59C2311yescharacteristic
225C23×Dic59C2311yescharacteristic
226C23×Dic59C2311yescharacteristic
227C23×Dic59C2311yescharacteristic
228C23×Dic59C2311yescharacteristic
229C23×Dic59C2311yescharacteristic
230C23×Dic59C2311yescharacteristic
231C23×Dic59C2311yescharacteristic
232C22×C4×D59—24no—
233C22×C4×D59—24no—
234C22×C4×D59—42no—
235C22×C4×D59C2311yescharacteristic
236C22×C4×D59C2311yescharacteristic
237C22×C4×D59C2311yescharacteristic
238C22×C4×D59C2311yescharacteristic
239C22×C4×D59C2311yescharacteristic
240C22×C4×D59C2311yescharacteristic
241C22×C4×D59C2311yescharacteristic
242C22×C4×D59C2311yescharacteristic
243#14273725—24no—
244#14273723—24no—
245#14273723—24no—
246#14273715—24no—
247#14273712—24no—
248#14273712—24no—
249#14273711—24no—
250#14273708—24no—
251#14273704—24no—
252#14273704—24no—
253#14273703—24no—
254#14273702—24no—
255#14273701—24no—
256#14273700—24no—
257#14273700—24no—
258#14273700—24no—
259#14273700—24no—
260#14273700—24no—
261#14273699—24no—
262#14273699—24no—
263#14273699—24no—
264#14273697—24no—
265#14273697—24no—
266#14273696—24no—
267#14273696—24no—
268#14273695—24no—
269D4×Dic59—24no—
270D4×Dic59—24no—
271#14273689—24no—
272#14273689—24no—
273C4×C22⋊D59—24no—
274(C22⋊D59)⋊C4—24no—
275(C22⋊D59)⋊C4—24no—
276(C22⋊D59)⋊C4—24no—
277(C22⋊D59)⋊C4—24no—
278(C22⋊D59)⋊C4—24no—
279(C22⋊D59)⋊C4—24no—
280(C22⋊D59)⋊C4—24no—
281(C22⋊D59)⋊C4—24no—
282(C22⋊D59)⋊C4—24no—
283(C22⋊D59)⋊C4—24no—
284(C22⋊D59)⋊C4—24no—
285(C22⋊D59)⋊C4—24no—
286(C22⋊D59)⋊C4—24no—
287(C22⋊D59)⋊C4—42no—
288(C22⋊D59)⋊C4—42no—
289(C22⋊D59)⋊C4D418yescomplemented
290(C22⋊D59)⋊C4D418yescomplemented
291#14273685—24no—
292#14273683—24no—
293C2×C4⋊Dic59C2311yescharacteristic
294C2×C4⋊Dic59C2311yescharacteristic
295C2×C4⋊Dic59C2311yescharacteristic
296C2×Dic59⋊C4—24no—
297C2×Dic59⋊C4C2311yescharacteristic
298C2×Dic59⋊C4C2311yescharacteristic
299C2×Dic59⋊C4C2311yescharacteristic
300C2×Dic59⋊C4C2311yescharacteristic
301C2×Dic59⋊C4C2311yescharacteristic
302C2×Dic59⋊C4C2311yescharacteristic
303C2×Dic59⋊C4C2311yescharacteristic
304C2×Dic59⋊C4C2311yescharacteristic
305C2×Dic59⋊C4C2311yescharacteristic
306C2×Dic59⋊C4C2311yescharacteristic
307C2×Dic59⋊C4C2311yescharacteristic
308C2×Dic59⋊C4C2311yescharacteristic
309C2×Dic59⋊C4C2311yescharacteristic
310C2×Dic59⋊C4C2311yescharacteristic
311C2×Dic59⋊C4C2311yescharacteristic
312C2×Dic59⋊C4C2311yescharacteristic
313C2×Dic59⋊C4C2311yescharacteristic
314C2×Dic59⋊C4C2311yescharacteristic
315C2×C22⋊Dic59C2311yescharacteristic
316C2×C22⋊Dic59C2311yescharacteristic
317C2×C22⋊Dic59C2311yescharacteristic
318C2×C22⋊Dic59C2311yescharacteristic
319C2×C22⋊Dic59C2311yescharacteristic
320C2×C22⋊Dic59C2311yescharacteristic
321C2×C22⋊Dic59C2311yescharacteristic
322C2×C22⋊Dic59C2311yescharacteristic
323C2×C22⋊Dic59C2311yescharacteristic
324C2×(C2×D59)⋊C4—24no—
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
332C2×(C2×D59)⋊C4C2311yescharacteristic
333C2×(C2×D59)⋊C4C2311yescharacteristic
334C2×(C2×D59)⋊C4C2311yescharacteristic
335C2×(C2×D59)⋊C4C2311yescharacteristic
336C2×(C2×D59)⋊C4C2311yescharacteristic
337C2×(C2×D59)⋊C4C2311yescharacteristic
338C2×(C2×D59)⋊C4C2311yescharacteristic
339C2×(C2×D59)⋊C4C2311yescharacteristic
340C2×(C2×D59)⋊C4C2311yescharacteristic
341C2×(C2×D59)⋊C4C2311yescharacteristic
342C2×(C2×D59)⋊C4C2311yescharacteristic
343C2×(C2×D59)⋊C4C2311yescharacteristic
344C2×(C2×D59)⋊C4C2311yescharacteristic
345C2×(C2×D59)⋊C4C2311yescharacteristic
346C2×(C2×D59)⋊C4C2311yescharacteristic
347C2×(C2×D59)⋊C4C2311yescharacteristic
348C2×(C2×D59)⋊C4C2311yescharacteristic
349C2×(C2×D59)⋊C4C2311yescharacteristic
350C2×(C2×D59)⋊C4C2311yescharacteristic
351C2×C4×Dic59—24no—
352C2×C4×Dic59C2311yescharacteristic
353C2×C4×Dic59C2311yescharacteristic
354C2×C4×Dic59C2311yescharacteristic
355C2×C4×Dic59C2311yescharacteristic
356C2×C4×Dic59C2311yescharacteristic
357C2×C4×Dic59C2311yescharacteristic
358C2×C4×Dic59C2311yescharacteristic
359C2×C4×Dic59C2311yescharacteristic
360C2×C4×Dic59C2311yescharacteristic
361C2×C4×Dic59C2311yescharacteristic
362C2×C4×Dic59C2311yescharacteristic
363C2×C4×Dic59C2311yescharacteristic
364C2×C4×Dic59C2311yescharacteristic
365C42×D59—24no—
366C59⋊#95C2311yescharacteristic
367C59⋊#95C2311yescharacteristic
368C59⋊#95C2311yescharacteristic
369C59⋊#95C2311yescharacteristic
370C59⋊#95C2311yescharacteristic
371C59⋊#95C2311yescharacteristic
372C59⋊#95C2311yescharacteristic
373C59⋊#95C2311yescharacteristic
374C59⋊#95C2311yescharacteristic
375C59⋊#95C2311yescharacteristic
376C59⋊#95C2311yescharacteristic
377C59⋊#95C2311yescharacteristic
378C59⋊#95C2311yescharacteristic
379C59⋊#95C2311yescharacteristic
380C25×C59C2311yescharacteristic
381C22×Q8×C59C2311yescharacteristic
382C22×D4×C59C2311yescharacteristic
383C22×D4×C59C2311yescharacteristic
384C22×D4×C59C2311yescharacteristic
385C23×C4×C59C2311yescharacteristic
386C23×C4×C59C2311yescharacteristic
387#124×C59—24no—
388C22⋊Q8×C59—24no—
389#120×C59—24no—
390C2×C4⋊C4×C59C2311yescharacteristic
391C2×C4⋊C4×C59C2311yescharacteristic
392C2×C4⋊C4×C59C2311yescharacteristic
393C2×C22⋊C4×C59—24no—
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
405C2×C22⋊C4×C59C2311yescharacteristic
406C2×C22⋊C4×C59C2311yescharacteristic
407C2×C22⋊C4×C59C2311yescharacteristic
408C2×C22⋊C4×C59C2311yescharacteristic
409C2×C22⋊C4×C59C2311yescharacteristic
410C2×C22⋊C4×C59C2311yescharacteristic
411C2×C42×C59C2311yescharacteristic
412C2×C42×C59C2311yescharacteristic
413#95×C59C2311yescharacteristic
414#95×C59C2311yescharacteristic
415#95×C59C2311yescharacteristic
416#95×C59C2311yescharacteristic
417#95×C59C2311yescharacteristic
418#95×C59C2311yescharacteristic
419C24×C59—22no—
420C24×C59—22no—
421C24×C59—22no—
422C24×C59—22no—
423C24×C59—22no—
424C24×C59—41no—
425C24×C59—41no—
426C24×C59C2411yescharacteristic
427C24×C59C2411yescharacteristic
428C24×C59C2411yescharacteristic
429C24×C59C2411yescharacteristic
430C23×D59—22no—
431C23×D59—22no—
432C23×D59—22no—
433C23×D59—22no—
434C23×D59—22no—
435C23×D59—41no—
436C23×D59—41no—
437C23×D59C2411yescharacteristic
438C23×D59C2411yescharacteristic
439C23×D59C2411yescharacteristic
440C23×D59C2411yescharacteristic
441C2×Q8×C59—22no—
442C2×Q8×C59—22no—
443C2×Q8×C59—41no—
444C2×D4×C59—22no—
445C2×D4×C59—22no—
446C2×D4×C59—22no—
447C2×D4×C59—22no—
448C2×D4×C59—22no—
449C2×D4×C59—22no—
450C2×D4×C59—22no—
451C2×D4×C59—41no—
452C2×D4×C59—41no—
453C22×C4×C59—22no—
454C22×C4×C59—22no—
455C22×C4×C59—22no—
456C22×C4×C59—22no—
457C22×C4×C59—41no—
458C22×C4×C59—41no—
459C22×C4×C59C2411yescharacteristic
460C22×C4×C59C2411yescharacteristic
461C22×C4×C59C2411yescharacteristic
462C22×C4×C59C2411yescharacteristic
463C22×C4×C59C2411yescharacteristic
464C22×C4×C59C2411yescharacteristic
465C22×C4×C59C2411yescharacteristic
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C22×C4×C59C2411yescharacteristic
469C22×C4×C59C2411yescharacteristic
470C2×C22⋊D59—232no—
471C2×C22⋊D59—22no—
472C2×C22⋊D59—22no—
473C2×C22⋊D59—22no—
474C2×C22⋊D59—22no—
475C2×C22⋊D59—22no—
476C2×C22⋊D59—22no—
477C2×C22⋊D59—22no—
478C2×C22⋊D59—22no—
479C2×C22⋊D59—22no—
480C2×C22⋊D59—22no—
481C2×C22⋊D59—22no—
482C2×C22⋊D59—22no—
483C2×C22⋊D59—22no—
484C2×C22⋊D59—22no—
485C2×C22⋊D59—22no—
486C2×C22⋊D59—22no—
487C2×C22⋊D59—22no—
488C2×C22⋊D59—22no—
489C2×C22⋊D59—22no—
490C2×C22⋊D59—22no—
491C2×C22⋊D59—22no—
492C2×C22⋊D59—22no—
493C2×C22⋊D59—22no—
494C2×C22⋊D59—22no—
495C2×C22⋊D59—22no—
496C2×C22⋊D59—22no—
497C2×C22⋊D59—22no—
498C2×C22⋊D59—22no—
499C2×C22⋊D59—22no—
500C2×C22⋊D59—22no—
501C2×C22⋊D59—22no—
502C2×C22⋊D59—22no—
503C2×C22⋊D59—41no—
504C2×C22⋊D59—41no—
505C2×C22⋊D59—41no—
506C2×C22⋊D59—41no—
507C2×C22⋊D59—41no—
508C2×C22⋊D59—41no—
509C2×C22⋊D59—41no—
510C2×C22⋊D59C2×D414yes—
511C2×C22⋊D59C2×D414yes—
512C2×C22⋊D59#4114yescomplemented
513C22×Dic59—22no—
514C22×Dic59—22no—
515C22×Dic59—22no—
516C22×Dic59—22no—
517C22×Dic59—22no—
518C22×Dic59—22no—
519C22×Dic59—22no—
520C22×Dic59—22no—
521C22×Dic59—22no—
522C22×Dic59—22no—
523C22×Dic59—22no—
524C22×Dic59—22no—
525C22×Dic59—22no—
526C22×Dic59—22no—
527C22×Dic59—22no—
528C22×Dic59—22no—
529C22×Dic59—22no—
530C22×Dic59—22no—
531C22×Dic59—41no—
532C22×Dic59—41no—
533C22×Dic59—41no—
534C22×Dic59—416no—
535C22×Dic59C2×D414yes—
536C22×Dic59C2×D414yes—
537C22×Dic59#4114yescomplemented
538C22×Dic59C2411yescharacteristic
539C22×Dic59C2411yescharacteristic
540C22×Dic59C2411yescharacteristic
541C22×Dic59C2411yescharacteristic
542C22×Dic59C2411yescharacteristic
543C22×Dic59C2411yescharacteristic
544C22×Dic59C2411yescharacteristic
545C22×Dic59C2411yescharacteristic
546C22×Dic59C2411yescharacteristic
547C22×Dic59C2411yescharacteristic
548C22×Dic59C2411yescharacteristic
549C22×Dic59C2411yescharacteristic
550#11745689—416no—
551#11745687—416no—
552C2×D236—22no—
553C2×D236—22no—
554C2×D236—22no—
555C2×D236—22no—
556C2×D236—22no—
557C2×D236—22no—
558C2×D236—22no—
559C2×D236—22no—
560C2×D236—22no—
561C2×D236—22no—
562C2×D236—41no—
563C2×D236—41no—
564C2×D236—41no—
565C2×D236—41no—
566C2×D236—41no—
567C2×C4×D59—22no—
568C2×C4×D59—22no—
569C2×C4×D59—22no—
570C2×C4×D59—22no—
571C2×C4×D59—22no—
572C2×C4×D59—22no—
573C2×C4×D59—22no—
574C2×C4×D59—22no—
575C2×C4×D59—22no—
576C2×C4×D59—22no—
577C2×C4×D59—22no—
578C2×C4×D59—22no—
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—416no—
587C2×C4×D59—41no—
588C2×C4×D59—41no—
589C2×C4×D59—41no—
590C2×C4×D59C2×D414yes—
591C2×C4×D59C2×D414yescomplemented
592C2×Dic118—22no—
593C2×Dic118—22no—
594C2×Dic118—41no—
595C4⋊C4×C59—22no—
596C4⋊C4×C59—22no—
597C4⋊C4×C59—22no—
598C22⋊C4×C59—22no—
599C22⋊C4×C59—22no—
600C22⋊C4×C59—22no—
601C22⋊C4×C59—22no—
602C22⋊C4×C59—22no—
603C22⋊C4×C59—22no—
604C22⋊C4×C59—22no—
605C22⋊C4×C59—22no—
606C22⋊C4×C59—22no—
607C22⋊C4×C59—22no—
608C22⋊C4×C59—22no—
609C22⋊C4×C59—41no—
610C22⋊C4×C59—41no—
611C22⋊C4×C59—41no—
612C22⋊C4×C59—41no—
613C22⋊C4×C59C2×D414yes—
614C22⋊C4×C59C2×D414yes—
615C42×C59—22no—
616C42×C59—41no—
617C22⋊Dic59—22no—
618C22⋊Dic59—22no—
619C22⋊Dic59—22no—
620C22⋊Dic59—22no—
621C22⋊Dic59—22no—
622C22⋊Dic59—22no—
623C22⋊Dic59—22no—
624C22⋊Dic59—22no—
625C22⋊Dic59#4114yescomplemented
626(C2×D59)⋊C4—22no—
627(C2×D59)⋊C4—22no—
628(C2×D59)⋊C4—22no—
629(C2×D59)⋊C4—22no—
630(C2×D59)⋊C4—22no—
631(C2×D59)⋊C4—22no—
632(C2×D59)⋊C4—22no—
633(C2×D59)⋊C4—22no—
634(C2×D59)⋊C4—22no—
635(C2×D59)⋊C4—22no—
636(C2×D59)⋊C4—22no—
637(C2×D59)⋊C4—22no—
638(C2×D59)⋊C4—22no—
639(C2×D59)⋊C4—22no—
640(C2×D59)⋊C4—22no—
641(C2×D59)⋊C4—22no—
642(C2×D59)⋊C4—22no—
643(C2×D59)⋊C4—22no—
644(C2×D59)⋊C4—22no—
645(C2×D59)⋊C4—22no—
646(C2×D59)⋊C4—41no—
647(C2×D59)⋊C4—41no—
648(C2×D59)⋊C4—41no—
649(C2×D59)⋊C4—41no—
650(C2×D59)⋊C4C2×D414yes—
651(C2×D59)⋊C4C2×D414yescomplemented
652C4⋊Dic59—22no—
653C4⋊Dic59—22no—
654C4⋊Dic59—22no—
655Dic59⋊C4—22no—
656Dic59⋊C4—22no—
657Dic59⋊C4—22no—
658Dic59⋊C4—22no—
659Dic59⋊C4—22no—
660Dic59⋊C4—22no—
661Dic59⋊C4—22no—
662Dic59⋊C4—22no—
663Dic59⋊C4—22no—
664Dic59⋊C4—22no—
665Dic59⋊C4—22no—
666Dic59⋊C4—22no—
667Dic59⋊C4—22no—
668Dic59⋊C4—22no—
669Dic59⋊C4—41no—
670Dic59⋊C4—41no—
671Dic59⋊C4C2×D414yes—
672Dic59⋊C4C2×D414yescomplemented
673C4×Dic59—22no—
674C4×Dic59—22no—
675C4×Dic59—22no—
676C4×Dic59—22no—
677C4×Dic59—22no—
678C4×Dic59—22no—
679C4×Dic59—22no—
680C4×Dic59—22no—
681C4×Dic59—22no—
682C4×Dic59—22no—
683C4×Dic59—22no—
684C4×Dic59C2×D414yes—
685C4×Dic59C2×D414yescomplemented
686C23×C59—21no—
687C23×C59—21no—
688C23×C59—21no—
689C23×C59—21no—
690C23×C59—28no—
691C23×C59—21no—
692C23×C59—21no—
693C23×C59—21no—
694C23×C59—21no—
695C23×C59—21no—
696C23×C59—21no—
697C23×C59—21no—
698C23×C59—21no—
699C23×C59—21no—
700C23×C59—21no—
701C23×C59—21no—
702C23×C59—21no—
703C23×C59—21no—
704C23×C59—21no—
705C23×C59—21no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59—21no—
709C23×C59—21no—
710C23×C59—44no—
711C23×C59—44no—
712C23×C59—44no—
713C23×C59—44no—
714C23×C59—44no—
715C23×C59—44no—
716C23×C59C22×D412yes—
717C23×C59C22×D412yes—
718C23×C59C2×#4112yes—
719C23×C59C2×#4112yes—
720C23×C59C2×#4112yes—
721C23×C59C2511yescharacteristic
722C22×D59—28no—
723C22×D59—21no—
724C22×D59—21no—
725C22×D59—21no—
726C22×D59—21no—
727C22×D59—21no—
728C22×D59—21no—
729C22×D59—21no—
730C22×D59—21no—
731C22×D59—21no—
732C22×D59—21no—
733C22×D59—21no—
734C22×D59—21no—
735C22×D59—21no—
736C22×D59—21no—
737C22×D59—21no—
738C22×D59—21no—
739C22×D59—21no—
740C22×D59—21no—
741C22×D59—21no—
742C22×D59—21no—
743C22×D59—21no—
744C22×D59—21no—
745C22×D59—21no—
746C22×D59—21no—
747C22×D59—21no—
748C22×D59—44no—
749C22×D59—44no—
750C22×D59—44no—
751C22×D59—44no—
752C22×D59—44no—
753C22×D59—44no—
754C22×D59C22×D412yes—
755C22×D59C22×D412yes—
756C22×D59C2×#4112yes—
757Q8×C59—44no—
758D4×C59—44no—
759D4×C59—44no—
760D4×C59—44no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—21no—
777C2×C4×C59—21no—
778C2×C4×C59—21no—
779C2×C4×C59—21no—
780C2×C4×C59—21no—
781C2×C4×C59—21no—
782C2×C4×C59—21no—
783C2×C4×C59—21no—
784C2×C4×C59—21no—
785C2×C4×C59—21no—
786C2×C4×C59—21no—
787C2×C4×C59—21no—
788C2×C4×C59—21no—
789C2×C4×C59—21no—
790C2×C4×C59—44no—
791C2×C4×C59—44no—
792C2×C4×C59C22×D412yes—
793C2×C4×C59C22×D412yes—
794C2×C4×C59C22×D412yes—
795C2×C4×C59C22×D412yes—
796C22⋊D59—28no—
797C22⋊D59—28no—
798C22⋊D59—28no—
799C22⋊D59—28no—
800C22⋊D59—28no—
801C22⋊D59—44no—
802C22⋊D59—44no—
803C22⋊D59—44no—
804C22⋊D59—44no—
805C22⋊D59—44no—
806C22⋊D59—44no—
807C22⋊D59—44no—
808C22⋊D59—44no—
809C22⋊D59—44no—
810C2×Dic59—21no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59—21no—
815C2×Dic59—21no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—21no—
821C2×Dic59—21no—
822C2×Dic59—28no—
823C2×Dic59—28no—
824C2×Dic59—28no—
825C2×Dic59—21no—
826C2×Dic59—21no—
827C2×Dic59—21no—
828C2×Dic59—21no—
829C2×Dic59—21no—
830C2×Dic59—21no—
831C2×Dic59—21no—
832C2×Dic59—21no—
833C2×Dic59—21no—
834C2×Dic59—21no—
835C2×Dic59—21no—
836C2×Dic59—21no—
837C2×Dic59—44no—
838C2×Dic59—44no—
839C2×Dic59—44no—
840C2×Dic59—44no—
841C2×Dic59—44no—
842C2×Dic59C22×D412yes—
843C2×Dic59C22×D412yes—
844C2×Dic59C22×D412yes—
845C2×Dic59C22×D412yes—
846C2×Dic59C22×D412yes—
847C2×Dic59C22×D412yes—
848C2×Dic59C2×#4112yes—
849C2×Dic59C2×#4112yes—
850C2×Dic59C2×#4112yes—
851C2×Dic59C2×#4112yes—
852C2×Dic59C2×#4112yes—
853C2×Dic59H(5,𝔽2)12yes—
854D236—44no—
855D236—44no—
856D236—44no—
857D236—44no—
858D236—44no—
859C4×D59—28no—
860C4×D59—28no—
861C4×D59—44no—
862C4×D59—44no—
863C4×D59—44no—
864C4×D59—44no—
865C4×D59—44no—
866C4×D59—44no—
867Dic118—44no—
868#34681—591nomaximal, Sylow
869C22×C59—22no—
870C22×C59—22no—
871C22×C59—22no—
872C22×C59—22no—
873C22×C59—22no—
874C22×C59—22no—
875C22×C59—22no—
876C22×C59—22no—
877C22×C59—22no—
878C22×C59—22no—
879C22×C59—22no—
880C22×C59—22no—
881C22×C59—416no—
882C22×C59—41no—
883C22×C59—41no—
884C22×C59—41no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59—41no—
890C22×C59—41no—
891C22×C59—41no—
892C22×C59—41no—
893C22×C59—41no—
894C22×C59—41no—
895C22×C59—41no—
896C22×C59—41no—
897C22×C59#53214yescomplemented
898C22×C59C23×D411yescharacteristic
899C22×C59C23×D411yescharacteristic
900C22×C59C22×#4111yescharacteristic
901C22×C59C22×#4111yescharacteristic
902C22×C59C22×#4111yescharacteristic
903C22×C59C2×H(5,𝔽2)11yescharacteristic
904C22×C59#58511yescharacteristic
905C2×D59—22no—
906C2×D59—22no—
907C2×D59—22no—
908C2×D59—22no—
909C2×D59—22no—
910C2×D59—22no—
911C2×D59—22no—
912C2×D59—22no—
913C2×D59—22no—
914C2×D59—416no—
915C2×D59—41no—
916C2×D59—41no—
917C2×D59—41no—
918C2×D59—41no—
919C2×D59—41no—
920C2×D59—41no—
921C2×D59—41no—
922C2×D59—41no—
923C2×D59—41no—
924C2×D59—41no—
925C2×D59—41no—
926C2×D59—41no—
927C2×D59—41no—
928C2×D59—41no—
929C2×D59—41no—
930C2×D59—41no—
931C2×D59—41no—
932C2×D59—41no—
933C2×D59—41no—
934C4×C59—22no—
935C4×C59—22no—
936C4×C59—22no—
937C4×C59—22no—
938C4×C59—41no—
939C4×C59—41no—
940C4×C59—41no—
941C4×C59—41no—
942C4×C59—41no—
943C4×C59—41no—
944C4×C59—41no—
945Dic59—22no—
946Dic59—22no—
947Dic59—22no—
948Dic59—22no—
949Dic59—22no—
950Dic59—22no—
951Dic59—41no—
952Dic59—41no—
953Dic59—41no—
954Dic59—41no—
955Dic59#52514yescomplemented
956Dic59D4214yes—
957C2×#532—591no—
958C2×#525—591no—
959C2×#525—591no—
960C22×C4×D4—591no—
961#2472—591no—
962#2472D5911yescharacteristic, complemented
963#2464—591no—
964#2464—591no—
965#2461—591no—
966#2461—591no—
967#2452—591no—
968#2445—591no—
969#2440—591no—
970#2433—591no—
971#2428—591no—
972#2424—591no—
973#2424—591no—
974#2422—591no—
975#2416—591no—
976#2408—591no—
977#2392—591no—
978#2392—591no—
979#2388—591no—
980#2388—591no—
981C4×#127—591no—
982C4×#121—591no—
983C4×#121—591no—
984C4×#120—591no—
985C4×#120—591no—
986#2293—591no—
987C42×D4—591no—
988C2×C59—24no—
989C2×C59—42no—
990C2×C59—42no—
991C2×C59—81no—
992C2×C59C2×#52511yescharacteristic
993C2×C59C2×#53211yescharacteristic
994C2×C59#346011yescharacteristic
995C2×C59C2×D4211yescharacteristic
996C2×C59D4×#4111yescharacteristic
997C2×C59D4×#4111yescharacteristic
998C2×C59#348111yescharacteristic
999D59—42no—
1000D59—42no—
1001D59—42no—
1002D59—81no—
1003C22×#41—591no—
1004C22×#41—591no—
1005C23×D4—591no—
1006C24×C4—591no—
1007C24×C4—591no—
1008#532—1188no—
1009C2×C4⋊Q8—591no—
1010C2×#127—591no—
1011C2×#127—591no—
1012C2×#124—591no—
1013C2×#124C2×D5911yescharacteristic, complemented
1014#525—1188no—
1015#525—1188no—
1016C2×#123—591no—
1017C2×#123—591no—
1018C2×#123—591no—
1019C2×#123—591no—
1020C2×C22⋊Q8—591no—
1021C2×C22⋊Q8—591no—
1022C2×C22⋊Q8—591no—
1023C2×C22⋊Q8C2×D5911yescharacteristic
1024C2×#121—591no—
1025C2×#121—591no—
1026C2×#121—591no—
1027C2×#121—591no—
1028C2×#121—591no—
1029C2×#121—591no—
1030C2×#121—591no—
1031C2×#121—591no—
1032C2×#121—591no—
1033C2×#121—591no—
1034C2×#120—591no—
1035C2×#120—591no—
1036C2×#120—591no—
1037C2×#120—591no—
1038C2×#120—591no—
1039C2×#120C2×D5911yescharacteristic
1040C2×C4×D4—591no—
1041C2×C4×D4—591no—
1042C2×C4×D4—591no—
1043C2×C4×D4—591no—
1044C2×C4×D4—591no—
1045C2×C4×D4—591no—
1046C2×C4×D4—591no—
1047C2×C4×D4—591no—
1048C2×C4×D4—591no—
1049C2×C4×D4—591no—
1050C2×C4×D4—591no—
1051C2×C4×D4—591no—
1052C2×C4×D4—591no—
1053C2×C4×D4—591no—
1054C2×C4×D4—591no—
1055C2×C4×D4—591no—
1056C2×C4×D4—591no—
1057C2×C4×D4—591no—
1058C2×C4×D4—591no—
1059C2×C4×D4—591no—
1060C2×C4×D4—591no—
1061C2×C4×D4—591no—
1062C2×C4×D4—1188no—
1063C2×#117—591no—
1064C2×#117—591no—
1065C22×C4⋊C4—591no—
1066C22×C22⋊C4—591no—
1067C22×C22⋊C4C2×D5911yescharacteristic
1068C22×C42—591no—
1069C22×C42—591no—
1070#398—591no—
1071#398—591no—
1072#397—591no—
1073#397C2×D5911yescharacteristic, complemented
1074#396—591no—
1075#396—591no—
1076#396—591no—
1077#396—591no—
1078#395—591no—
1079#395—591no—
1080#394—591no—
1081#394—591no—
1082#394—591no—
1083#394—591no—
1084#394—591no—
1085#394—591no—
1086#394—591no—
1087#394—591no—
1088#394—591no—
1089#394—591no—
1090#394C2×D5911yescharacteristic, complemented
1091#394C2×D5911yescharacteristic, complemented
1092#393—591no—
1093#393C2×D5911yescharacteristic, complemented
1094#392—591no—
1095#392—591no—
1096#392—591no—
1097#392—591no—
1098#392—591no—
1099#392—591no—
1100#392—591no—
1101#392—591no—
1102#390—591no—
1103#390—591no—
1104#390—591no—
1105#390—591no—
1106#390—591no—
1107#390—591no—
1108#390—591no—
1109#390—591no—
1110#390—591no—
1111#390C2×D5911yescharacteristic, complemented
1112#389—591no—
1113#389—591no—
1114#389—591no—
1115#389—591no—
1116#388—591no—
1117#388—591no—
1118#388—591no—
1119#388—591no—
1120#388—591no—
1121#388—591no—
1122#388C2×D5911yescharacteristic, complemented
1123#388C2×D5911yescharacteristic, complemented
1124#386—591no—
1125#386—591no—
1126#386—591no—
1127#386—591no—
1128#386—591no—
1129#386—591no—
1130#386—591no—
1131#386—591no—
1132#386C2×D5911yescharacteristic
1133#386C2×D5911yescharacteristic
1134#385—591no—
1135#385—591no—
1136#385—591no—
1137#385—591no—
1138#385—591no—
1139#385—591no—
1140#384—591no—
1141#380—591no—
1142#380—591no—
1143#379—591no—
1144#379C2×D5911yescharacteristic
1145C4×C4⋊C4—591no—
1146C4×C4⋊C4—591no—
1147C4×C4⋊C4—591no—
1148C4×C4⋊C4—591no—
1149C4×C22⋊C4—591no—
1150C4×C22⋊C4—591no—
1151C4×C22⋊C4—591no—
1152C4×C22⋊C4—591no—
1153C4×C22⋊C4—591no—
1154C4×C22⋊C4—591no—
1155C4×C22⋊C4—591no—
1156C4×C22⋊C4—591no—
1157C4×C22⋊C4—591no—
1158C4×C22⋊C4—591no—
1159C4×C22⋊C4—591no—
1160C4×C22⋊C4C2×D5911yescharacteristic
1161C43—591no—
1162C59#3468111yescharacteristic, complemented, Sylow
1163C25—591no—
1164C25C22×D5911yescharacteristic
1165C2×#41—1184no—
1166C2×#41—1184no—
1167C2×#41—1184no—
1168C2×#41—1184no—
1169C2×#41—2362no—
1170C2×#41—2362no—
1171C22×Q8—591no—
1172C22×Q8C22×D5911yescharacteristic
1173C22×D4—591no—
1174C22×D4—591no—
1175C22×D4—591no—
1176C22×D4—591no—
1177C22×D4—591no—
1178C22×D4—591no—
1179C22×D4—591no—
1180C22×D4—591no—
1181C22×D4—591no—
1182C22×D4—591no—
1183C22×D4—591no—
1184C22×D4—591no—
1185C22×D4—591no—
1186C22×D4—591no—
1187C22×D4—591no—
1188C22×D4—591no—
1189C22×D4—591no—
1190C22×D4—591no—
1191C22×D4—591no—
1192C22×D4—1184no—
1193C22×D4—1184no—
1194C22×D4—1184no—
1195C22×D4C22×D5911yescharacteristic
1196C22×D4C22×D5911yescharacteristic
1197C22×D4C22×D5911yescharacteristic
1198C23×C4—591no—
1199C23×C4—591no—
1200C23×C4—591no—
1201C23×C4—591no—
1202C23×C4—591no—
1203C23×C4—591no—
1204C23×C4—591no—
1205C23×C4—591no—
1206C23×C4—591no—
1207C23×C4—591no—
1208C23×C4—591no—
1209C23×C4—591no—
1210C23×C4—591no—
1211C23×C4—591no—
1212C23×C4—591no—
1213C23×C4—591no—
1214C23×C4—1184no—
1215C23×C4—1184no—
1216C23×C4—1184no—
1217C23×C4—1184no—
1218C23×C4—2362no—
1219C23×C4—2362no—
1220C23×C4C22×D5911yescharacteristic
1221C23×C4C22×D5911yescharacteristic
1222C4⋊Q8—1184no—
1223#127—1184no—
1224#127—1184no—
1225#124—24no—
1226#124—1184no—
1227#123—1184no—
1228#123—1184no—
1229#123—1184no—
1230#123—1184no—
1231C22⋊Q8—24no—
1232C22⋊Q8—1184no—
1233C22⋊Q8—1184no—
1234C22⋊Q8—1184no—
1235#121—1184no—
1236#121—1184no—
1237#121—1184no—
1238#121—1184no—
1239#121—1184no—
1240#121—1184no—
1241#121—1184no—
1242#121—1184no—
1243#121—1184no—
1244#121—1184no—
1245#120—24no—
1246#120—1184no—
1247#120—1184no—
1248#120—1184no—
1249#120—1184no—
1250#120—1184no—
1251C4×D4—598no—
1252C4×D4—598no—
1253C4×D4—1184no—
1254C4×D4—1184no—
1255C4×D4—1184no—
1256C4×D4—1184no—
1257C4×D4—1184no—
1258C4×D4—1184no—
1259C4×D4—1184no—
1260C4×D4—1184no—
1261C4×D4—1184no—
1262C4×D4—1184no—
1263C4×D4—1184no—
1264C4×D4—1184no—
1265C4×D4—1184no—
1266C4×D4—1184no—
1267C4×D4—1184no—
1268C4×D4—1184no—
1269C4×D4—1184no—
1270C4×D4—1184no—
1271C4×D4—2362no—
1272C4×D4—2362no—
1273#117—1184no—
1274#117—1184no—
1275C2×C4⋊C4—591no—
1276C2×C4⋊C4—591no—
1277C2×C4⋊C4—591no—
1278C2×C4⋊C4—591no—
1279C2×C4⋊C4—591no—
1280C2×C4⋊C4—591no—
1281C2×C4⋊C4—591no—
1282C2×C4⋊C4—591no—
1283C2×C4⋊C4—591no—
1284C2×C4⋊C4—591no—
1285C2×C4⋊C4—591no—
1286C2×C4⋊C4—591no—
1287C2×C4⋊C4—591no—
1288C2×C4⋊C4—591no—
1289C2×C4⋊C4—591no—
1290C2×C4⋊C4—591no—
1291C2×C4⋊C4—591no—
1292C2×C4⋊C4—591no—
1293C2×C4⋊C4—591no—
1294C2×C4⋊C4—591no—
1295C2×C4⋊C4—591no—
1296C2×C4⋊C4—1184no—
1297C2×C4⋊C4C22×D5911yescharacteristic
1298C2×C4⋊C4C22×D5911yescharacteristic
1299C2×C4⋊C4C22×D5911yescharacteristic
1300C2×C22⋊C4—24no—
1301C2×C22⋊C4—591no—
1302C2×C22⋊C4—591no—
1303C2×C22⋊C4—591no—
1304C2×C22⋊C4—591no—
1305C2×C22⋊C4—591no—
1306C2×C22⋊C4—591no—
1307C2×C22⋊C4—591no—
1308C2×C22⋊C4—591no—
1309C2×C22⋊C4—591no—
1310C2×C22⋊C4—591no—
1311C2×C22⋊C4—591no—
1312C2×C22⋊C4—591no—
1313C2×C22⋊C4—591no—
1314C2×C22⋊C4—591no—
1315C2×C22⋊C4—591no—
1316C2×C22⋊C4—591no—
1317C2×C22⋊C4—591no—
1318C2×C22⋊C4—591no—
1319C2×C22⋊C4—591no—
1320C2×C22⋊C4—591no—
1321C2×C22⋊C4—591no—
1322C2×C22⋊C4—591no—
1323C2×C22⋊C4—591no—
1324C2×C22⋊C4—591no—
1325C2×C22⋊C4—591no—
1326C2×C22⋊C4—591no—
1327C2×C22⋊C4—591no—
1328C2×C22⋊C4—591no—
1329C2×C22⋊C4—591no—
1330C2×C22⋊C4—591no—
1331C2×C22⋊C4—591no—
1332C2×C22⋊C4—591no—
1333C2×C22⋊C4—591no—
1334C2×C22⋊C4—591no—
1335C2×C22⋊C4—591no—
1336C2×C22⋊C4—1184no—
1337C2×C22⋊C4C22×D5911yescharacteristic
1338C2×C22⋊C4C22×D5911yescharacteristic
1339C2×C22⋊C4C22×D5911yescharacteristic
1340C2×C22⋊C4C22×D5911yescharacteristic
1341C2×C22⋊C4C22×D5911yescharacteristic
1342C2×C22⋊C4C22×D5911yescharacteristic
1343C2×C22⋊C4C22×D5911yescharacteristic
1344C2×C22⋊C4C22×D5911yescharacteristic
1345C2×C22⋊C4C22×D5911yescharacteristic
1346C2×C22⋊C4C22×D5911yescharacteristic
1347C2×C22⋊C4C22×D5911yescharacteristic
1348C2×C22⋊C4C22×D5911yescharacteristic
1349C2×C22⋊C4C22×D5911yescharacteristic
1350C2×C22⋊C4C22×D5911yescharacteristic
1351C2×C22⋊C4C22×D5911yescharacteristic
1352C2×C22⋊C4C22×D5911yescharacteristic
1353C2×C22⋊C4C22×D5911yescharacteristic
1354C2×C42—591no—
1355C2×C42—591no—
1356C2×C42—591no—
1357C2×C42—591no—
1358C2×C42—591no—
1359C2×C42—591no—
1360C2×C42—591no—
1361C2×C42—591no—
1362C2×C42—591no—
1363C2×C42—591no—
1364C2×C42—591no—
1365C2×C42—591no—
1366C2×C42—591no—
1367C2×C42—1184no—
1368C2×C42—1184no—
1369C2×C42C22×D5911yescharacteristic
1370C2×C42C22×D5911yescharacteristic
1371#95—591no—
1372#95—591no—
1373#95—591no—
1374#95—591no—
1375#95—591no—
1376#95—591no—
1377#95—591no—
1378#95—591no—
1379#95—591no—
1380#95—591no—
1381#95—591no—
1382#95—591no—
1383#95—591no—
1384#95—591no—
1385#95C22×D5911yescharacteristic
1386#95C22×D5911yescharacteristic
1387#95C22×D5911yescharacteristic
1388#95C22×D5911yescharacteristic
1389#95C22×D5911yescharacteristic
1390#95C22×D5911yescharacteristic
1391C24—22no—
1392C24—22no—
1393C24—22no—
1394C24—22no—
1395C24—22no—
1396C24—41no—
1397C24—41no—
1398C24—591no—
1399C24—591no—
1400C24—591no—
1401C24—591no—
1402C24—1182no—
1403C24—1182no—
1404C24—1182no—
1405C24—1182no—
1406C24—1182no—
1407C24—2361no—
1408C24—2361no—
1409C24C23×D5911yescharacteristic
1410C24C23×D5911yescharacteristic
1411C24C23×D5911yescharacteristic
1412C24C23×D5911yescharacteristic
1413#41—23616no—
1414#41—23616no—
1415C2×Q8—22no—
1416C2×Q8—22no—
1417C2×Q8—41no—
1418C2×Q8—1182no—
1419C2×Q8—1182no—
1420C2×Q8—2361no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—22no—
1424C2×D4—22no—
1425C2×D4—22no—
1426C2×D4—22no—
1427C2×D4—22no—
1428C2×D4—41no—
1429C2×D4—41no—
1430C2×D4—594no—
1431C2×D4—594no—
1432C2×D4—594no—
1433C2×D4—1182no—
1434C2×D4—1182no—
1435C2×D4—1182no—
1436C2×D4—1182no—
1437C2×D4—1182no—
1438C2×D4—1182no—
1439C2×D4—1182no—
1440C2×D4—1182no—
1441C2×D4—1182no—
1442C2×D4—1182no—
1443C2×D4—1182no—
1444C2×D4—1182no—
1445C2×D4—1182no—
1446C2×D4—1182no—
1447C2×D4—1182no—
1448C2×D4—1182no—
1449C2×D4—1182no—
1450C2×D4—1182no—
1451C2×D4—1182no—
1452C2×D4—1182no—
1453C2×D4—1182no—
1454C2×D4—1182no—
1455C2×D4—1182no—
1456C2×D4—11832no—
1457C2×D4—1182no—
1458C2×D4—1182no—
1459C2×D4—1182no—
1460C2×D4—1182no—
1461C2×D4—1182no—
1462C2×D4—1182no—
1463C2×D4—1182no—
1464C2×D4—1182no—
1465C2×D4—1182no—
1466C2×D4—1182no—
1467C2×D4—1182no—
1468C2×D4—1182no—
1469C2×D4—1182no—
1470C2×D4—1182no—
1471C2×D4—1182no—
1472C2×D4—1182no—
1473C2×D4—1182no—
1474C2×D4—1182no—
1475C2×D4—1182no—
1476C2×D4—2361no—
1477C2×D4—2361no—
1478C2×D4—2361no—
1479C2×D4—2361no—
1480C2×D4—2361no—
1481C2×D4—2361no—
1482C2×D4—2361no—
1483C2×D4—2361no—
1484C2×D4—2361no—
1485C2×D4—2361no—
1486C2×D4—2361no—
1487C2×D4—2361no—
1488C22×C4—22no—
1489C22×C4—22no—
1490C22×C4—22no—
1491C22×C4—22no—
1492C22×C4—41no—
1493C22×C4—41no—
1494C22×C4—591no—
1495C22×C4—591no—
1496C22×C4—594no—
1497C22×C4—594no—
1498C22×C4—594no—
1499C22×C4—591no—
1500C22×C4—591no—
1501C22×C4—591no—
1502C22×C4—591no—
1503C22×C4—591no—
1504C22×C4—591no—
1505C22×C4—594no—
1506C22×C4—594no—
1507C22×C4—591no—
1508C22×C4—591no—
1509C22×C4—591no—
1510C22×C4—591no—
1511C22×C4—1182no—
1512C22×C4—1182no—
1513C22×C4—1182no—
1514C22×C4—1182no—
1515C22×C4—1182no—
1516C22×C4—1182no—
1517C22×C4—1182no—
1518C22×C4—1182no—
1519C22×C4—1182no—
1520C22×C4—1182no—
1521C22×C4—1182no—
1522C22×C4—1182no—
1523C22×C4—1182no—
1524C22×C4—1182no—
1525C22×C4—1182no—
1526C22×C4—1182no—
1527C22×C4—1182no—
1528C22×C4—1182no—
1529C22×C4—1182no—
1530C22×C4—1182no—
1531C22×C4—1182no—
1532C22×C4—1182no—
1533C22×C4—1182no—
1534C22×C4—1182no—
1535C22×C4—1182no—
1536C22×C4—1182no—
1537C22×C4—1182no—
1538C22×C4—1182no—
1539C22×C4—1182no—
1540C22×C4—1182no—
1541C22×C4—1182no—
1542C22×C4—1182no—
1543C22×C4—1182no—
1544C22×C4—1182no—
1545C22×C4—1182no—
1546C22×C4—1182no—
1547C22×C4—1182no—
1548C22×C4—2361no—
1549C22×C4—2361no—
1550C22×C4—2361no—
1551C22×C4—23616no—
1552C22×C4—2361no—
1553C22×C4—2361no—
1554C22×C4—2361no—
1555C22×C4—23616no—
1556C22×C4C23×D5911yescharacteristic
1557C22×C4C23×D5911yescharacteristic
1558C22×C4C23×D5911yescharacteristic
1559C22×C4C23×D5911yescharacteristic
1560C22×C4C23×D5911yescharacteristic
1561C22×C4C23×D5911yescharacteristic
1562C22×C4C23×D5911yescharacteristic
1563C22×C4C23×D5911yescharacteristic
1564C22×C4C23×D5911yescharacteristic
1565C22×C4C23×D5911yescharacteristic
1566C22×C4C23×D5911yescharacteristic
1567C4⋊C4—22no—
1568C4⋊C4—22no—
1569C4⋊C4—22no—
1570C4⋊C4—594no—
1571C4⋊C4—594no—
1572C4⋊C4—1182no—
1573C4⋊C4—1182no—
1574C4⋊C4—1182no—
1575C4⋊C4—1182no—
1576C4⋊C4—1182no—
1577C4⋊C4—1182no—
1578C4⋊C4—1182no—
1579C4⋊C4—1182no—
1580C4⋊C4—1182no—
1581C4⋊C4—1182no—
1582C4⋊C4—1182no—
1583C4⋊C4—1182no—
1584C4⋊C4—1182no—
1585C4⋊C4—1182no—
1586C4⋊C4—1182no—
1587C4⋊C4—1182no—
1588C4⋊C4—1182no—
1589C4⋊C4—2361no—
1590C4⋊C4—2361no—
1591C22⋊C4—22no—
1592C22⋊C4—22no—
1593C22⋊C4—22no—
1594C22⋊C4—22no—
1595C22⋊C4—22no—
1596C22⋊C4—22no—
1597C22⋊C4—22no—
1598C22⋊C4—22no—
1599C22⋊C4—22no—
1600C22⋊C4—22no—
1601C22⋊C4—22no—
1602C22⋊C4—41no—
1603C22⋊C4—41no—
1604C22⋊C4—41no—
1605C22⋊C4—41no—
1606C22⋊C4—594no—
1607C22⋊C4—594no—
1608C22⋊C4—594no—
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—1182no—
1627C22⋊C4—1182no—
1628C22⋊C4—1182no—
1629C22⋊C4—1182no—
1630C22⋊C4—1182no—
1631C22⋊C4—1182no—
1632C22⋊C4—1182no—
1633C22⋊C4—1182no—
1634C22⋊C4—1182no—
1635C22⋊C4—1182no—
1636C22⋊C4—1182no—
1637C22⋊C4—2361no—
1638C22⋊C4—2361no—
1639C22⋊C4—2361no—
1640C22⋊C4—2361no—
1641C22⋊C4D4×D5914yes—
1642C22⋊C4D4×D5914yes—
1643C42—22no—
1644C42—41no—
1645C42—594no—
1646C42—594no—
1647C42—1182no—
1648C42—1182no—
1649C42—1182no—
1650C42—1182no—
1651C42—1182no—
1652C42—1182no—
1653C42—1182no—
1654C42—1182no—
1655C42—1182no—
1656C42—1182no—
1657C42—1182no—
1658C23—21no—
1659C23—21no—
1660C23—21no—
1661C23—21no—
1662C23—28no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—44no—
1683C23—44no—
1684C23—44no—
1685C23—44no—
1686C23—44no—
1687C23—44no—
1688C23—592no—
1689C23—592no—
1690C23—592no—
1691C23—1188no—
1692C23—1181no—
1693C23—1181no—
1694C23—1181no—
1695C23—1181no—
1696C23—1181no—
1697C23—1181no—
1698C23—1181no—
1699C23—1181no—
1700C23—1181no—
1701C23—1181no—
1702C23—1181no—
1703C23—1181no—
1704C23—1181no—
1705C23—1181no—
1706C23—1181no—
1707C23—1181no—
1708C23—1181no—
1709C23—1181no—
1710C23—1181no—
1711C23—1181no—
1712C23—1181no—
1713C23—1181no—
1714C23—1181no—
1715C23—1181no—
1716C23—1181no—
1717C23—2364no—
1718C23—2364no—
1719C23—2364no—
1720C23—2364no—
1721C23—2364no—
1722C23—2364no—
1723C23C2×D4×D5912yes—
1724C23C2×D4×D5912yes—
1725C23#41×D5912yes—
1726C23#41×D5912yes—
1727C23#41×D5912yes—
1728C23C24×D5911yescharacteristic
1729Q8—44no—
1730Q8—2364no—
1731D4—44no—
1732D4—44no—
1733D4—44no—
1734D4—1188no—
1735D4—1188no—
1736D4—1188no—
1737D4—1188no—
1738D4—1188no—
1739D4—2364no—
1740D4—2364no—
1741D4—2364no—
1742D4—2364no—
1743D4—2364no—
1744D4—2364no—
1745D4—2364no—
1746D4—2364no—
1747D4—2364no—
1748D4—2364no—
1749D4—2364no—
1750D4—2364no—
1751D4—2364no—
1752D4—2364no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—44no—
1783C2×C4—44no—
1784C2×C4—592no—
1785C2×C4—592no—
1786C2×C4—592no—
1787C2×C4—592no—
1788C2×C4—592no—
1789C2×C4—592no—
1790C2×C4—592no—
1791C2×C4—592no—
1792C2×C4—592no—
1793C2×C4—592no—
1794C2×C4—592no—
1795C2×C4—592no—
1796C2×C4—1188no—
1797C2×C4—1188no—
1798C2×C4—1188no—
1799C2×C4—1188no—
1800C2×C4—1188no—
1801C2×C4—1181no—
1802C2×C4—1181no—
1803C2×C4—1181no—
1804C2×C4—1181no—
1805C2×C4—1181no—
1806C2×C4—1181no—
1807C2×C4—1181no—
1808C2×C4—1181no—
1809C2×C4—1181no—
1810C2×C4—1181no—
1811C2×C4—1181no—
1812C2×C4—1181no—
1813C2×C4—1181no—
1814C2×C4—1181no—
1815C2×C4—1181no—
1816C2×C4—1181no—
1817C2×C4—1181no—
1818C2×C4—1181no—
1819C2×C4—1181no—
1820C2×C4—1181no—
1821C2×C4—1181no—
1822C2×C4—1181no—
1823C2×C4—1181no—
1824C2×C4—1181no—
1825C2×C4—2364no—
1826C2×C4—2364no—
1827C2×C4—2364no—
1828C2×C4—2364no—
1829C2×C4—2364no—
1830C2×C4—2364no—
1831C2×C4—2364no—
1832C2×C4—2364no—
1833C2×C4—2364no—
1834C2×C4—2364no—
1835C2×C4—2364no—
1836C2×C4C2×D4×D5912yes—
1837C2×C4C2×D4×D5912yes—
1838C2×C4C2×D4×D5912yes—
1839C2×C4C2×D4×D5912yes—
1840C22—22no—
1841C22—22no—
1842C22—22no—
1843C22—22no—
1844C22—22no—
1845C22—22no—
1846C22—22no—
1847C22—22no—
1848C22—22no—
1849C22—22no—
1850C22—22no—
1851C22—22no—
1852C22—416no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—1182no—
1869C22—1182no—
1870C22—1182no—
1871C22—1182no—
1872C22—1182no—
1873C22—1182no—
1874C22—1182no—
1875C22—1182no—
1876C22—1182no—
1877C22—23616no—
1878C22—2361no—
1879C22—2361no—
1880C22—2361no—
1881C22—2361no—
1882C22—2361no—
1883C22—2361no—
1884C22—2361no—
1885C22—2361no—
1886C22—2361no—
1887C22—2361no—
1888C22—2361no—
1889C22—2361no—
1890C22—2361no—
1891C22—2361no—
1892C22—2361no—
1893C22—2361no—
1894C22—2361no—
1895C22—2361no—
1896C22—2361no—
1897C22#1683795114yescomplemented
1898C22C22×D4×D5911yescharacteristic
1899C22C22×D4×D5911yescharacteristic
1900C22C2×#41×D5911yescharacteristic
1901C22C2×#41×D5911yescharacteristic
1902C22C2×#41×D5911yescharacteristic
1903C22H(5,𝔽2)×D5911yescharacteristic
1904C22#1683823711yescharacteristic
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—22no—
1909C4—41no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—41no—
1914C4—41no—
1915C4—41no—
1916C4—594no—
1917C4—594no—
1918C4—1182no—
1919C4—1182no—
1920C4—1182no—
1921C4—1182no—
1922C4—1182no—
1923C4—1182no—
1924C4—2361no—
1925C4—2361no—
1926C4—2361no—
1927C4—2361no—
1928C2—24no—
1929C2—42no—
1930C2—42no—
1931C2—81no—
1932C2—4721no—
1933C2—2362no—
1934C2—2362no—
1935C2—2362no—
1936C2#525×D5911yescharacteristic
1937C2C2×#1683795111yescharacteristic
1938C2#2143751511yescharacteristic
1939C2D42×D5911yescharacteristic
1940C2#2143758011yescharacteristic
1941C2#2143758011yescharacteristic
1942C2#2143769911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2472C2
hypercenter#2472D59
hypocenterC59#34681
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#16837951C2semidirect
2. C2×#16837915C2semidirect
3. C2×#16837908C2semidirect
4. C22×(C22⋊D59)⋊C4C2semidirect
5. #21428222C2semidirect
6. #21428108C2semidirect
7. #21428100C2semidirect
8. #21428067C2semidirect
9. #21428059C2semidirect
10. #21427941C2semidirect
11. #21427856C2semidirect
12. #21427795C2semidirect
13. #21427731C2semidirect
14. #21427679C2semidirect
15. #21427634C2semidirect
16. #21427632C2semidirect
17. #21427605C2semidirect
18. #21427535C2semidirect
19. #21427451C2semidirect
20. #21427335C2semidirect
21. #21427333C2semidirect
22. #21427313C2semidirect
23. #21427310C2semidirect
24. #21426660C2semidirect
25. #21426608C2semidirect
26. #21426606C2semidirect
27. #21426601C2semidirect
28. #21426595C2semidirect
29. #21426556C2semidirect
30. C4×(C22⋊D59)⋊C4C2semidirect
31. C59×#2472C2semidirect
32. C22×#11745689C22semidirect
33. C22×#11745687C22semidirect
38. C2×#14273725C22semidirect
41. C2×#14273715C22semidirect
44. C2×#14273712C22semidirect
45. C2×#14273712C22semidirect
46. C2×#14273711C22semidirect
47. C2×#14273708C22semidirect
49. C2×#14273704C22semidirect
50. C2×#14273703C22semidirect
51. C2×#14273702C22semidirect
55. C2×#14273700C22semidirect
56. C2×#14273700C22semidirect
57. C2×#14273700C22semidirect
60. C2×#14273699C22semidirect
67. C2×D4×Dic59C22semidirect
68. C2×#14273689C22semidirect
69. C2×#14273689C22semidirect
83. C2×(C22⋊D59)⋊C4C22semidirect
84. C2×(C22⋊D59)⋊C4C22semidirect
85. C2×(C22⋊D59)⋊C4C22semidirect
86. C2×(C22⋊D59)⋊C4C22semidirect
87. C2×(C22⋊D59)⋊C4C22semidirect
88. C2×(C22⋊D59)⋊C4C22semidirect
89. C2×#14273685C22semidirect
90. C2×#14273683C22semidirect
94. C2×C42×D59C22semidirect
95. #16837333C22semidirect
96. #16837332C22semidirect
97. #16837329C22semidirect
98. #16837326C22semidirect
99. #16837326C22semidirect
100. #16837325C22semidirect
101. #16837325C22semidirect
102. #16837322C22semidirect
103. #16837321C22semidirect
104. #16837320C22semidirect
105. #16837320C22semidirect
106. #16837320C22semidirect
107. #16837320C22semidirect
110. #16837317C22semidirect
111. #16837317C22semidirect
112. #16837317C22semidirect
113. #16837317C22semidirect
114. #16837315C22semidirect
119. #16837311C22semidirect
120. #16837311C22semidirect
123. #16837304C22semidirect
128. #16837302C22semidirect
129. #16837302C22semidirect
130. #16837302C22semidirect
131. #16837302C22semidirect
132. #16837299C22semidirect
133. #16837299C22semidirect
134. #16837297C22semidirect
135. #16837297C22semidirect
136. #16837295C22semidirect
137. #16837294C22semidirect
138. #16837293C22semidirect
139. #16837293C22semidirect
140. #16837291C22semidirect
141. #16837290C22semidirect
143. #16837280C22semidirect
145. #16837279C22semidirect
146. #16837279C22semidirect
147. #16837278C22semidirect
148. #16837278C22semidirect
149. #16837278C22semidirect
150. #16837276C22semidirect
151. #16837276C22semidirect
154. #16837274C22semidirect
155. #16837274C22semidirect
156. #16837271C22semidirect
157. #16837261C22semidirect
160. C4×Dic59⋊C4C22semidirect
161. #16837253C22semidirect
162. #16837253C22semidirect
163. #16837253C22semidirect
166. C22⋊C4×Dic59C22semidirect
167. C22⋊C4×Dic59C22semidirect
168. C22⋊C4×Dic59C22semidirect
169. C4×(C2×D59)⋊C4C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. #16837249C22semidirect
173. #16837249C22semidirect
174. #16837249C22semidirect
175. C42×Dic59C22semidirect
176. C2×#124×C59C22semidirect
180. C59×#397C22semidirect
181. C59×#394C22semidirect
182. C59×#394C22semidirect
183. C59×#393C22semidirect
184. C59×#390C22semidirect
185. C59×#388C22semidirect
186. C59×#388C22semidirect
289. (C22⋊D59)⋊C4D4semidirect
290. (C22⋊D59)⋊C4D4semidirect
512. C2×C22⋊D59#41semidirect
537. C22×Dic59#41semidirect
591. C2×C4×D59C2×D4semidirect
625. C22⋊Dic59#41semidirect
651. (C2×D59)⋊C4C2×D4semidirect
672. Dic59⋊C4C2×D4semidirect
685. C4×Dic59C2×D4semidirect
897. C22×C59#532semidirect
955. Dic59#525semidirect
962. #2472D59semidirect
1013. C2×#124C2×D59semidirect
1073. #397C2×D59semidirect
1090. #394C2×D59semidirect
1091. #394C2×D59semidirect
1093. #393C2×D59semidirect
1111. #390C2×D59semidirect
1122. #388C2×D59semidirect
1123. #388C2×D59semidirect
1162. C59#34681semidirect
1897. C22#16837951semidirect

Maximal subgroups

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

subgroupindex
C2×#168379512
C2×#168379152
C2×#168379082
C22×(C22⋊D59)⋊C42
#214282222
#214281082
#214281002
#214280672
#214280592
#214279412
#214278562
#214277952
#214277312
#214276792
#214276342
#214276322
#214276052
#214275352
#214274512
#214273352
#214273332
#214273132
#214273102
#214266602
#214266082
#214266062
#214266012
#214265952
#214265562
C4×(C22⋊D59)⋊C42
C59×#24722
#3468159