Finite Group Databasebeta

← #28761315

Subgroups — #28761315

Order 15104.

4082 conjugacy classes of subgroups.

The subgroup lattice has 2004 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837984C211yesmaximal, characteristic, complemented
2C22×C22⋊C4×D59C211yesmaximal, characteristic, complemented
3#21432382C211yesmaximal, characteristic, complemented
4#21432375C211yesmaximal, characteristic, complemented
5#21432372C211yesmaximal, characteristic, complemented
6#21432372C211yesmaximal, characteristic, complemented
7#21429906C211yesmaximal, characteristic, complemented
8#21429868C211yesmaximal, characteristic, complemented
9#21429868C211yesmaximal, characteristic, complemented
10#21429829C211yesmaximal, characteristic, complemented
11#21428349C211yesmaximal, characteristic, complemented
12#21428345C211yesmaximal, characteristic, complemented
13#21428340C211yesmaximal, characteristic, complemented
14#21428336C211yesmaximal, characteristic, complemented
15#21428228C211yesmaximal, characteristic, complemented
16#21428224C211yesmaximal, characteristic, complemented
17#21428221C211yesmaximal, characteristic, complemented
18#21428217C211yesmaximal, characteristic, complemented
19#21427638C211yesmaximal, characteristic, complemented
20#21427635C211yesmaximal, characteristic, complemented
21#21427629C211yesmaximal, characteristic, complemented
22#21427557C211yesmaximal, characteristic, complemented
23#21427554C211yesmaximal, characteristic, complemented
24#21427552C211yesmaximal, characteristic, complemented
25#21427551C211yesmaximal, characteristic, complemented
26#21426755C211yesmaximal, characteristic, complemented
27#21426752C211yesmaximal, characteristic, complemented
28#21426690C211yesmaximal, characteristic, complemented
29#21426601C211yesmaximal, characteristic, complemented
30C4×#14273695C211yesmaximal, characteristic, complemented
31C59×#2424C211yesmaximal, characteristic, complemented
32C25×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16837984—28no—
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273714C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273710C2211yescharacteristic, complemented
41C2×#14273708C2211yescharacteristic, complemented
42C2×#14273705C2211yescharacteristic, complemented
43C2×#14273705C2211yescharacteristic, complemented
44C2×#14273704C2211yescharacteristic, complemented
45C2×#14273699C2211yescharacteristic, complemented
46C2×#14273698C2211yescharacteristic, complemented
47C2×#14273698C2211yescharacteristic, complemented
48C2×#14273695C2211yescharacteristic
49C2×#14273695C2211yescharacteristic
50C2×#14273695C2211yescharacteristic
51C2×#14273695C2211yescharacteristic
52C2×#14273695C2211yescharacteristic
53C2×#14273695C2211yescharacteristic
54C2×#14273695C2211yescharacteristic
55C2×#14273695C2211yescharacteristic
56C2×#14273695C2211yescharacteristic
57C2×#14273695C2211yescharacteristic
58C2×#14273695C2211yescharacteristic
59C2×#14273695C2211yescharacteristic
60C2×D4×Dic59C2211yescharacteristic, complemented
61C2×C4×C22⋊D59C2211yescharacteristic, complemented
62C2×C4×C22⋊D59C2211yescharacteristic, complemented
63C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
64C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
65C22×C22⋊Dic59C2211yescharacteristic
66C22×(C2×D59)⋊C4C2211yescharacteristic
67C22×(C2×D59)⋊C4C2211yescharacteristic
68C2×C22⋊C4×D59—28no—
69C2×C22⋊C4×D59C2211yescharacteristic
70C2×C22⋊C4×D59C2211yescharacteristic
71C2×C22⋊C4×D59C2211yescharacteristic
72C2×C22⋊C4×D59C2211yescharacteristic
73C2×C22⋊C4×D59C2211yescharacteristic
74C2×C22⋊C4×D59C2211yescharacteristic
75C2×C22⋊C4×D59C2211yescharacteristic
76C2×C22⋊C4×D59C2211yescharacteristic
77#16837338C2211yescharacteristic, complemented
78#16837337C2211yescharacteristic, complemented
79#16837331C2211yescharacteristic, complemented
80#16837331C2211yescharacteristic, complemented
81#16837330C2211yescharacteristic, complemented
82#16837330C2211yescharacteristic, complemented
83#16837329C2211yescharacteristic, complemented
84#16837328C2211yescharacteristic, complemented
85#16837328C2211yescharacteristic, complemented
86#16837327C2211yescharacteristic, complemented
87#16837327C2211yescharacteristic, complemented
88#16837327C2211yescharacteristic, complemented
89#16837325C2211yescharacteristic, complemented
90#16837324C2211yescharacteristic, complemented
91#16837324C2211yescharacteristic, complemented
92#16837318C2211yescharacteristic, complemented
93#16837318C2211yescharacteristic, complemented
94#16837317C2211yescharacteristic, complemented
95#16837317C2211yescharacteristic, complemented
96#16837317C2211yescharacteristic, complemented
97#16837317C2211yescharacteristic, complemented
98#16837316C2211yescharacteristic, complemented
99#16837316C2211yescharacteristic, complemented
100#16837316C2211yescharacteristic, complemented
101#16837316C2211yescharacteristic, complemented
102#16837315C2211yescharacteristic, complemented
103#16837314C2211yescharacteristic, complemented
104#16837310C2211yescharacteristic, complemented
105#16837305C2211yescharacteristic, complemented
106#16837302C2211yescharacteristic, complemented
107#16837302C2211yescharacteristic, complemented
108#16837296C2211yescharacteristic, complemented
109#16837296C2211yescharacteristic, complemented
110#16837296C2211yescharacteristic, complemented
111#16837295C2211yescharacteristic, complemented
112#16837294C2211yescharacteristic, complemented
113#16837294C2211yescharacteristic, complemented
114#16837293C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837292C2211yescharacteristic, complemented
117#16837292C2211yescharacteristic, complemented
118#16837291C2211yescharacteristic, complemented
119#16837291C2211yescharacteristic, complemented
120#16837290C2211yescharacteristic, complemented
121#16837290C2211yescharacteristic, complemented
122#16837290C2211yescharacteristic, complemented
123#16837282C2211yescharacteristic, complemented
124#16837282C2211yescharacteristic, complemented
125#16837282C2211yescharacteristic, complemented
126#16837282C2211yescharacteristic, complemented
127#16837281C2211yescharacteristic, complemented
128#16837279C2211yescharacteristic, complemented
129#16837278C2211yescharacteristic, complemented
130#16837278C2211yescharacteristic, complemented
131#16837278C2211yescharacteristic, complemented
132#16837278C2211yescharacteristic, complemented
133#16837278C2211yescharacteristic, complemented
134#16837278C2211yescharacteristic, complemented
135#16837278C2211yescharacteristic, complemented
136#16837278C2211yescharacteristic, complemented
137#16837276C2211yescharacteristic, complemented
138#16837276C2211yescharacteristic, complemented
139#16837276C2211yescharacteristic, complemented
140#16837276C2211yescharacteristic, complemented
141#16837275C2211yescharacteristic, complemented
142#16837275C2211yescharacteristic, complemented
143#16837274C2211yescharacteristic, complemented
144#16837273C2211yescharacteristic, complemented
145#16837273C2211yescharacteristic, complemented
146#16837273C2211yescharacteristic, complemented
147#16837273C2211yescharacteristic, complemented
148#16837262C2211yescharacteristic, complemented
149#16837261C2211yescharacteristic, complemented
150#16837261C2211yescharacteristic, complemented
151#16837260C2211yescharacteristic, complemented
152#16837259C2211yescharacteristic, complemented
153#16837259C2211yescharacteristic, complemented
154#16837258C2211yescharacteristic
155#16837258C2211yescharacteristic
156#16837257C2211yescharacteristic
157#16837257C2211yescharacteristic
158#16837257C2211yescharacteristic
159#16837257C2211yescharacteristic
160#16837257C2211yescharacteristic
161#16837257C2211yescharacteristic
162#16837257C2211yescharacteristic
163#16837257C2211yescharacteristic
164#16837257C2211yescharacteristic
165#16837257C2211yescharacteristic
166#16837257C2211yescharacteristic
167#16837257C2211yescharacteristic
168C22⋊C4×Dic59C2211yescharacteristic, complemented
169C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
170C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
171C4×C22⋊Dic59C2211yescharacteristic, complemented
172#16837249C2211yescharacteristic, complemented
173#16837249C2211yescharacteristic, complemented
174C2×#121×C59C2211yescharacteristic, complemented
175C2×#121×C59C2211yescharacteristic, complemented
176C2×#120×C59C2211yescharacteristic
177C2×#120×C59C2211yescharacteristic
178C2×C4×D4×C59C2211yescharacteristic, complemented
179C22×C22⋊C4×C59C2211yescharacteristic
180C59×#396C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#394C2211yescharacteristic, complemented
183C59×#392C2211yescharacteristic, complemented
184C59×#390C2211yescharacteristic, complemented
185C59×#388C2211yescharacteristic, complemented
186C59×#386C2211yescharacteristic, complemented
187C59×#386C2211yescharacteristic, complemented
188C59×#385C2211yescharacteristic, complemented
189C24×D59—24no—
190C24×D59—24no—
191C24×D59—24no—
192C24×D59—42no—
193C24×D59—42no—
194C24×D59—42no—
195C24×D59—42no—
196C24×D59C2311yescharacteristic
197C24×D59C2311yescharacteristic
198C24×D59C2311yescharacteristic
199C24×D59C2311yescharacteristic
200C24×D59C2311yescharacteristic
201C24×D59C2311yescharacteristic
202C22×Dic118C2311yescharacteristic, complemented
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C22×C22⋊D59C2311yescharacteristic
211C23×Dic59C2311yescharacteristic
212C23×Dic59C2311yescharacteristic
213C23×Dic59C2311yescharacteristic, complemented
214C22×C4×D59—24no—
215C22×C4×D59—24no—
216C22×C4×D59—42no—
217C22×C4×D59—42no—
218C22×C4×D59—42no—
219C22×C4×D59—42no—
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228#14273722—24no—
229#14273720—24no—
230#14273714—24no—
231#14273713—24no—
232#14273710—24no—
233#14273708—24no—
234#14273705—24no—
235#14273705—42no—
236#14273704—42no—
237#14273699—24no—
238#14273698—24no—
239#14273698—42no—
240#14273695—24no—
241#14273695—24no—
242#14273695—24no—
243#14273695—24no—
244#14273695—24no—
245#14273695—24no—
246#14273695—42no—
247#14273695—42no—
248#14273695—42no—
249#14273695—42no—
250#14273695—42no—
251#14273695—42no—
252D4×Dic59—42no—
253C4×C22⋊D59—24no—
254C4×C22⋊D59—42no—
255(C22⋊D59)⋊C4—24no—
256(C22⋊D59)⋊C4—42no—
257C2×C4⋊Dic59C2311yescharacteristic, complemented
258C2×C4⋊Dic59C2311yescharacteristic, complemented
259C2×C4⋊Dic59C2311yescharacteristic, complemented
260C2×C4⋊Dic59C2311yescharacteristic, complemented
261C2×Dic59⋊C4C2311yescharacteristic, complemented
262C2×Dic59⋊C4C2311yescharacteristic, complemented
263C2×Dic59⋊C4C2311yescharacteristic, complemented
264C2×Dic59⋊C4C2311yescharacteristic, complemented
265C2×Dic59⋊C4C2311yescharacteristic, complemented
266C2×Dic59⋊C4C2311yescharacteristic, complemented
267C2×Dic59⋊C4C2311yescharacteristic, complemented
268C2×Dic59⋊C4C2311yescharacteristic, complemented
269C2×Dic59⋊C4C2311yescharacteristic, complemented
270C2×Dic59⋊C4C2311yescharacteristic, complemented
271C2×C22⋊Dic59—24no—
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
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, complemented
289C2×C22⋊Dic59C2311yescharacteristic, complemented
290C2×C22⋊Dic59C2311yescharacteristic, complemented
291C2×C22⋊Dic59C2311yescharacteristic, complemented
292C2×C22⋊Dic59C2311yescharacteristic, complemented
293C2×C22⋊Dic59C2311yescharacteristic, complemented
294C2×C22⋊Dic59C2311yescharacteristic, complemented
295C2×(C2×D59)⋊C4—24no—
296C2×(C2×D59)⋊C4—24no—
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
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
329C22⋊C4×D59—24no—
330C22⋊C4×D59—24no—
331C22⋊C4×D59—24no—
332C22⋊C4×D59—24no—
333C22⋊C4×D59—24no—
334C22⋊C4×D59—24no—
335C22⋊C4×D59—24no—
336C22⋊C4×D59D418yescomplemented
337C2×C4×Dic59C2311yescharacteristic, complemented
338C2×C4×Dic59C2311yescharacteristic, complemented
339C2×C4×Dic59C2311yescharacteristic, complemented
340C2×C4×Dic59C2311yescharacteristic, complemented
341C2×C4×Dic59C2311yescharacteristic, complemented
342C59⋊#95C2311yescharacteristic, complemented
343C59⋊#95C2311yescharacteristic, complemented
344C59⋊#95C2311yescharacteristic, complemented
345C59⋊#95C2311yescharacteristic, complemented
346C59⋊#95C2311yescharacteristic, complemented
347C59⋊#95C2311yescharacteristic, complemented
348C59⋊#95C2311yescharacteristic, complemented
349C59⋊#95C2311yescharacteristic, complemented
350C59⋊#95C2311yescharacteristic, complemented
351C59⋊#95C2311yescharacteristic, complemented
352C59⋊#95C2311yescharacteristic, complemented
353C59⋊#95C2311yescharacteristic, complemented
354C59⋊#95C2311yescharacteristic, complemented
355C59⋊#95C2311yescharacteristic, complemented
356C59⋊#95C2311yescharacteristic, complemented
357C59⋊#95C2311yescharacteristic, complemented
358C59⋊#95C2311yescharacteristic, complemented
359C59⋊#95C2311yescharacteristic, complemented
360C59⋊#95C2311yescharacteristic, complemented
361C59⋊#95C2311yescharacteristic, complemented
362C25×C59C2311yescharacteristic
363C22×D4×C59C2311yescharacteristic
364C22×D4×C59C2311yescharacteristic
365C22×D4×C59C2311yescharacteristic
366C22×D4×C59C2311yescharacteristic
367C22×D4×C59C2311yescharacteristic
368C22×D4×C59C2311yescharacteristic
369C22×D4×C59C2311yescharacteristic, complemented
370C23×C4×C59C2311yescharacteristic
371C23×C4×C59C2311yescharacteristic
372C23×C4×C59C2311yescharacteristic, complemented
373#121×C59—24no—
374#121×C59—42no—
375#120×C59—42no—
376#120×C59—42no—
377C4×D4×C59—42no—
378C2×C4⋊C4×C59C2311yescharacteristic, complemented
379C2×C4⋊C4×C59C2311yescharacteristic, complemented
380C2×C4⋊C4×C59C2311yescharacteristic, complemented
381C2×C4⋊C4×C59C2311yescharacteristic, complemented
382C2×C22⋊C4×C59—24no—
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C22⋊C4×C59C2311yescharacteristic
387C2×C22⋊C4×C59C2311yescharacteristic
388C2×C22⋊C4×C59C2311yescharacteristic
389C2×C22⋊C4×C59C2311yescharacteristic
390C2×C22⋊C4×C59C2311yescharacteristic
391C2×C22⋊C4×C59C2311yescharacteristic
392C2×C22⋊C4×C59C2311yescharacteristic
393C2×C22⋊C4×C59C2311yescharacteristic, complemented
394C2×C22⋊C4×C59C2311yescharacteristic, complemented
395C2×C22⋊C4×C59C2311yescharacteristic, complemented
396C2×C22⋊C4×C59C2311yescharacteristic, complemented
397C2×C22⋊C4×C59C2311yescharacteristic, complemented
398C2×C42×C59C2311yescharacteristic, complemented
399#95×C59C2311yescharacteristic, complemented
400#95×C59C2311yescharacteristic, complemented
401#95×C59C2311yescharacteristic, complemented
402#95×C59C2311yescharacteristic, complemented
403C24×C59—22no—
404C24×C59—22no—
405C24×C59—22no—
406C24×C59—22no—
407C24×C59—22no—
408C24×C59—41no—
409C24×C59—41no—
410C24×C59C2411yescharacteristic
411C24×C59C2411yescharacteristic
412C24×C59C2411yescharacteristic
413C24×C59C2411yescharacteristic
414C24×C59C2411yescharacteristic
415C23×D59—22no—
416C23×D59—22no—
417C23×D59—22no—
418C23×D59—22no—
419C23×D59—22no—
420C23×D59—22no—
421C23×D59—232no—
422C23×D59—22no—
423C23×D59—22no—
424C23×D59—22no—
425C23×D59—22no—
426C23×D59—22no—
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—22no—
438C23×D59—22no—
439C23×D59—22no—
440C23×D59—22no—
441C23×D59—41no—
442C23×D59—41no—
443C23×D59—41no—
444C23×D59—41no—
445C23×D59—41no—
446C23×D59—41no—
447C23×D59—41no—
448C23×D59—41no—
449C23×D59—41no—
450C23×D59—41no—
451C23×D59—41no—
452C23×D59—41no—
453C23×D59—41no—
454C23×D59—41no—
455C23×D59—416no—
456C23×D59—416no—
457C23×D59—416no—
458C23×D59—416no—
459C23×D59—416no—
460C23×D59—416no—
461C23×D59C2×D414yes—
462C23×D59#4114yes—
463C23×D59#4114yes—
464C23×D59C2411yescharacteristic
465C23×D59C2411yescharacteristic
466C23×D59C2411yescharacteristic
467C23×D59C2411yescharacteristic
468C2×D4×C59—22no—
469C2×D4×C59—22no—
470C2×D4×C59—22no—
471C2×D4×C59—22no—
472C2×D4×C59—22no—
473C2×D4×C59—22no—
474C2×D4×C59—22no—
475C2×D4×C59—22no—
476C2×D4×C59—22no—
477C2×D4×C59—22no—
478C2×D4×C59—22no—
479C2×D4×C59—41no—
480C2×D4×C59—41no—
481C2×D4×C59—41no—
482C2×D4×C59—41no—
483C2×D4×C59—41no—
484C2×D4×C59—41no—
485C2×D4×C59—41no—
486C2×D4×C59—41no—
487C2×D4×C59—41no—
488C2×D4×C59—41no—
489C22×C4×C59—22no—
490C22×C4×C59—22no—
491C22×C4×C59—22no—
492C22×C4×C59—22no—
493C22×C4×C59—22no—
494C22×C4×C59—41no—
495C22×C4×C59—41no—
496C22×C4×C59—41no—
497C22×C4×C59—41no—
498C22×C4×C59C2411yescharacteristic
499C22×C4×C59C2411yescharacteristic
500C22×C4×C59C2411yescharacteristic
501C22×C4×C59C2411yescharacteristic
502C22×C4×C59C2411yescharacteristic
503C22×C4×C59C2411yescharacteristic
504C22×C4×C59C2411yescharacteristic
505C22×C4×C59C2411yescharacteristic
506C22×C4×C59C2411yescharacteristic
507C22×C4×C59C2411yescharacteristic
508C2×C22⋊D59—22no—
509C2×C22⋊D59—22no—
510C2×C22⋊D59—22no—
511C2×C22⋊D59—22no—
512C2×C22⋊D59—22no—
513C2×C22⋊D59—22no—
514C2×C22⋊D59—22no—
515C2×C22⋊D59—22no—
516C2×C22⋊D59—22no—
517C2×C22⋊D59—22no—
518C2×C22⋊D59—22no—
519C2×C22⋊D59—22no—
520C2×C22⋊D59—22no—
521C2×C22⋊D59—22no—
522C2×C22⋊D59—22no—
523C2×C22⋊D59—22no—
524C2×C22⋊D59—41no—
525C2×C22⋊D59—41no—
526C2×C22⋊D59—41no—
527C2×C22⋊D59—41no—
528C2×C22⋊D59—41no—
529C2×C22⋊D59—41no—
530C2×C22⋊D59—41no—
531C2×C22⋊D59—41no—
532C22×Dic59—22no—
533C22×Dic59—22no—
534C22×Dic59—22no—
535C22×Dic59—22no—
536C22×Dic59—22no—
537C22×Dic59—41no—
538C22×Dic59—41no—
539C22×Dic59—41no—
540C22×Dic59—41no—
541C22×Dic59C2411yescharacteristic
542C22×Dic59C2411yescharacteristic
543C22×Dic59C2411yescharacteristic
544C22×Dic59C2411yescharacteristic
545C22×Dic59C2411yescharacteristic
546C22×Dic59C2411yescharacteristic
547C22×Dic59C2411yescharacteristic
548C22×Dic59C2411yescharacteristic
549C22×Dic59C2411yescharacteristic
550C22×Dic59C2411yescharacteristic
551C22×Dic59C2411yescharacteristic
552C22×Dic59C2411yescharacteristic
553C2×C4×D59—22no—
554C2×C4×D59—22no—
555C2×C4×D59—22no—
556C2×C4×D59—22no—
557C2×C4×D59—22no—
558C2×C4×D59—22no—
559C2×C4×D59—22no—
560C2×C4×D59—22no—
561C2×C4×D59—22no—
562C2×C4×D59—22no—
563C2×C4×D59—41no—
564C2×C4×D59—41no—
565C2×C4×D59—41no—
566C2×C4×D59—41no—
567C2×C4×D59—41no—
568C2×C4×D59—41no—
569C2×C4×D59—41no—
570C2×C4×D59—41no—
571C2×C4×D59—41no—
572C2×C4×D59—41no—
573C2×C4×D59—41no—
574C2×C4×D59—41no—
575C2×C4×D59—416no—
576C2×C4×D59—416no—
577C2×C4×D59C2×D414yes—
578C2×C4×D59C2×D414yes—
579C2×Dic118—22no—
580C2×Dic118—41no—
581C2×Dic118—41no—
582C4⋊C4×C59—22no—
583C4⋊C4×C59—41no—
584C4⋊C4×C59—41no—
585C4⋊C4×C59—41no—
586C22⋊C4×C59—22no—
587C22⋊C4×C59—22no—
588C22⋊C4×C59—22no—
589C22⋊C4×C59—22no—
590C22⋊C4×C59—22no—
591C22⋊C4×C59—22no—
592C22⋊C4×C59—41no—
593C22⋊C4×C59—41no—
594C22⋊C4×C59—41no—
595C22⋊C4×C59—41no—
596C22⋊C4×C59—41no—
597C22⋊C4×C59—41no—
598C22⋊C4×C59—41no—
599C22⋊C4×C59—41no—
600C22⋊C4×C59C2×D414yes—
601C42×C59—41no—
602C22⋊Dic59—22no—
603C22⋊Dic59—22no—
604C22⋊Dic59—22no—
605C22⋊Dic59—22no—
606C22⋊Dic59—22no—
607C22⋊Dic59—22no—
608C22⋊Dic59—22no—
609C22⋊Dic59—22no—
610C22⋊Dic59—22no—
611C22⋊Dic59—22no—
612C22⋊Dic59—22no—
613C22⋊Dic59—22no—
614C22⋊Dic59—22no—
615C22⋊Dic59—22no—
616C22⋊Dic59—41no—
617C22⋊Dic59—41no—
618C22⋊Dic59—41no—
619C22⋊Dic59—41no—
620C22⋊Dic59—41no—
621C22⋊Dic59—41no—
622C22⋊Dic59—41no—
623C22⋊Dic59—41no—
624C22⋊Dic59C2×D414yes—
625(C2×D59)⋊C4—22no—
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—22no—
647(C2×D59)⋊C4—41no—
648(C2×D59)⋊C4—41no—
649(C2×D59)⋊C4—41no—
650(C2×D59)⋊C4—41no—
651(C2×D59)⋊C4—41no—
652(C2×D59)⋊C4—41no—
653(C2×D59)⋊C4—41no—
654(C2×D59)⋊C4—41no—
655(C2×D59)⋊C4C2×D414yes—
656(C2×D59)⋊C4C2×D414yes—
657C4⋊Dic59—22no—
658C4⋊Dic59—41no—
659C4⋊Dic59—41no—
660C4⋊Dic59—41no—
661Dic59⋊C4—22no—
662Dic59⋊C4—22no—
663Dic59⋊C4—22no—
664Dic59⋊C4—22no—
665Dic59⋊C4—41no—
666Dic59⋊C4—41no—
667Dic59⋊C4—41no—
668Dic59⋊C4—41no—
669Dic59⋊C4—41no—
670Dic59⋊C4—41no—
671C4×Dic59—22no—
672C4×Dic59—22no—
673C4×Dic59—41no—
674C4×Dic59—41no—
675C4×Dic59—41no—
676C23×C59—21no—
677C23×C59—21no—
678C23×C59—21no—
679C23×C59—21no—
680C23×C59—28no—
681C23×C59—21no—
682C23×C59—21no—
683C23×C59—21no—
684C23×C59—21no—
685C23×C59—21no—
686C23×C59—21no—
687C23×C59—21no—
688C23×C59—21no—
689C23×C59—21no—
690C23×C59—21no—
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—44no—
708C23×C59—44no—
709C23×C59—44no—
710C23×C59—44no—
711C23×C59—44no—
712C23×C59—44no—
713C23×C59C22×D412yes—
714C23×C59C2×#4112yes—
715C23×C59C2×#4112yes—
716C23×C59H(5,𝔽2)12yes—
717C23×C59H(5,𝔽2)12yes—
718C23×C59C2511yescharacteristic
719C22×D59—28no—
720C22×D59—28no—
721C22×D59—28no—
722C22×D59—28no—
723C22×D59—28no—
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—28no—
733C22×D59—28no—
734C22×D59—28no—
735C22×D59—28no—
736C22×D59—28no—
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—21no—
749C22×D59—28no—
750C22×D59—28no—
751C22×D59—44no—
752C22×D59—44no—
753C22×D59—44no—
754C22×D59—44no—
755C22×D59—44no—
756C22×D59—44no—
757C22×D59—44no—
758C22×D59—44no—
759C22×D59—44no—
760C22×D59—44no—
761C22×D59—44no—
762C22×D59—44no—
763C22×D59—44no—
764C22×D59—44no—
765C22×D59—44no—
766C22×D59—44no—
767C22×D59—4128no—
768C22×D59—44no—
769C22×D59—44no—
770C22×D59—44no—
771C22×D59—44no—
772C22×D59—44no—
773C22×D59—44no—
774C22×D59—44no—
775C22×D59—44no—
776C22×D59—44no—
777C22×D59—44no—
778C22×D59—44no—
779C22×D59—44no—
780C22×D59—44no—
781C22×D59—44no—
782C22×D59C22×D412yes—
783C22×D59C22×D412yes—
784C22×D59C2×#4112yes—
785C22×D59C2×#4112yes—
786C22×D59C2×#4112yes—
787C22×D59C2×#4112yes—
788C22×D59H(5,𝔽2)12yes—
789C22×D59H(5,𝔽2)12yes—
790D4×C59—44no—
791D4×C59—44no—
792D4×C59—82no—
793D4×C59—82no—
794D4×C59—82no—
795D4×C59—82no—
796D4×C59—82no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—21no—
801C2×C4×C59—21no—
802C2×C4×C59—21no—
803C2×C4×C59—21no—
804C2×C4×C59—21no—
805C2×C4×C59—21no—
806C2×C4×C59—21no—
807C2×C4×C59—21no—
808C2×C4×C59—21no—
809C2×C4×C59—21no—
810C2×C4×C59—21no—
811C2×C4×C59—21no—
812C2×C4×C59—21no—
813C2×C4×C59—21no—
814C2×C4×C59—21no—
815C2×C4×C59—21no—
816C2×C4×C59—21no—
817C2×C4×C59—21no—
818C2×C4×C59—21no—
819C2×C4×C59—21no—
820C2×C4×C59—21no—
821C2×C4×C59—21no—
822C2×C4×C59—21no—
823C2×C4×C59—21no—
824C2×C4×C59—21no—
825C2×C4×C59—44no—
826C2×C4×C59—44no—
827C2×C4×C59—82no—
828C2×C4×C59C22×D412yes—
829C2×C4×C59C22×D412yes—
830C22⋊D59—44no—
831C22⋊D59—44no—
832C22⋊D59—44no—
833C22⋊D59—44no—
834C22⋊D59—82no—
835C22⋊D59—82no—
836C22⋊D59—82no—
837C22⋊D59—82no—
838C2×Dic59—21no—
839C2×Dic59—21no—
840C2×Dic59—21no—
841C2×Dic59—21no—
842C2×Dic59—21no—
843C2×Dic59—21no—
844C2×Dic59—21no—
845C2×Dic59—21no—
846C2×Dic59—21no—
847C2×Dic59—21no—
848C2×Dic59—21no—
849C2×Dic59—21no—
850C2×Dic59—21no—
851C2×Dic59—21no—
852C2×Dic59—21no—
853C2×Dic59—21no—
854C2×Dic59—21no—
855C2×Dic59—21no—
856C2×Dic59—21no—
857C2×Dic59—21no—
858C2×Dic59—21no—
859C2×Dic59—21no—
860C2×Dic59—21no—
861C2×Dic59—21no—
862C2×Dic59—21no—
863C2×Dic59—21no—
864C2×Dic59—21no—
865C2×Dic59—21no—
866C2×Dic59—21no—
867C2×Dic59—21no—
868C2×Dic59—21no—
869C2×Dic59—21no—
870C2×Dic59—21no—
871C2×Dic59—21no—
872C2×Dic59—44no—
873C2×Dic59—44no—
874C2×Dic59—82no—
875C2×Dic59C22×D412yes—
876C2×Dic59C22×D412yes—
877C4×D59—44no—
878C4×D59—44no—
879C4×D59—44no—
880C4×D59—44no—
881C4×D59—44no—
882C4×D59—44no—
883C4×D59—44no—
884C4×D59—44no—
885Dic118—82no—
886#34988—591nomaximal, Sylow
887C22×C59—22no—
888C22×C59—22no—
889C22×C59—22no—
890C22×C59—22no—
891C22×C59—22no—
892C22×C59—22no—
893C22×C59—22no—
894C22×C59—22no—
895C22×C59—22no—
896C22×C59—22no—
897C22×C59—22no—
898C22×C59—22no—
899C22×C59—416no—
900C22×C59—41no—
901C22×C59—41no—
902C22×C59—41no—
903C22×C59—41no—
904C22×C59—41no—
905C22×C59—41no—
906C22×C59—41no—
907C22×C59—41no—
908C22×C59—41no—
909C22×C59—41no—
910C22×C59—41no—
911C22×C59—41no—
912C22×C59—41no—
913C22×C59—41no—
914C22×C59—41no—
915C22×C59—41no—
916C22×C59—41no—
917C22×C59—41no—
918C22×C59—41no—
919C22×C59—41no—
920C22×C59—41no—
921C22×C59—41no—
922C22×C59#53814yescomplemented
923C22×C59C23×D411yescharacteristic
924C22×C59C22×#4111yescharacteristic
925C22×C59C22×#4111yescharacteristic
926C22×C59C2×H(5,𝔽2)11yescharacteristic
927C22×C59C2×H(5,𝔽2)11yescharacteristic
928C22×C59C2×H(5,𝔽2)11yescharacteristic
929C22×C59C2×H(5,𝔽2)11yescharacteristic
930C2×D59—232no—
931C2×D59—22no—
932C2×D59—22no—
933C2×D59—22no—
934C2×D59—22no—
935C2×D59—22no—
936C2×D59—22no—
937C2×D59—22no—
938C2×D59—22no—
939C2×D59—22no—
940C2×D59—22no—
941C2×D59—22no—
942C2×D59—22no—
943C2×D59—22no—
944C2×D59—22no—
945C2×D59—22no—
946C2×D59—22no—
947C2×D59—22no—
948C2×D59—22no—
949C2×D59—416no—
950C2×D59—416no—
951C2×D59—416no—
952C2×D59—416no—
953C2×D59—416no—
954C2×D59—41no—
955C2×D59—41no—
956C2×D59—41no—
957C2×D59—41no—
958C2×D59—41no—
959C2×D59—41no—
960C2×D59—41no—
961C2×D59—41no—
962C2×D59#52514yes—
963C2×D59#53814yescomplemented
964C4×C59—22no—
965C4×C59—22no—
966C4×C59—41no—
967C4×C59—41no—
968C4×C59—41no—
969C4×C59—41no—
970C4×C59—41no—
971C4×C59—41no—
972C4×C59—41no—
973C4×C59—41no—
974Dic59—22no—
975Dic59—22no—
976Dic59—41no—
977Dic59—41no—
978Dic59—41no—
979Dic59—41no—
980Dic59—41no—
981Dic59—41no—
982Dic59—41no—
983Dic59—41no—
984Dic59—41no—
985Dic59—41no—
986C2×#538—591no—
987C23×C22⋊C4—591no—
988#2848—591no—
989#2847—591no—
990#2846—591no—
991#2846—591no—
992#2626—591no—
993#2622—591no—
994#2622—591no—
995#2617—591no—
996#2480—591no—
997#2480—591no—
998#2480—591no—
999#2480—591no—
1000#2472—591no—
1001#2472—591no—
1002#2472—591no—
1003#2472—591no—
1004#2424—591no—
1005#2424—591no—
1006#2424—591no—
1007#2424D5911yescharacteristic, complemented
1008#2418—591no—
1009#2418—591no—
1010#2418—591no—
1011#2418—591no—
1012#2321—591no—
1013#2321—591no—
1014#2312—591no—
1015C4×#120—591no—
1016C4×#120—591no—
1017C2×C59—24no—
1018C2×C59—42no—
1019C2×C59—42no—
1020C2×C59—81no—
1021C2×C59—81no—
1022C2×C59C2×#52511yescharacteristic
1023C2×C59C2×#53811yescharacteristic
1024C2×C59C2×#53811yescharacteristic
1025C2×C59#348411yescharacteristic
1026C2×C59#348411yescharacteristic
1027C2×C59#349011yescharacteristic
1028C2×C59#349011yescharacteristic
1029D59—24no—
1030D59—24no—
1031D59—42no—
1032D59—42no—
1033C26—591no—
1034C24×C4—591no—
1035C24×C4—591no—
1036#538—1188no—
1037C2×#126—591no—
1038C2×#126—591no—
1039C2×#124—591no—
1040C2×#124—591no—
1041C2×#123—591no—
1042C2×#123—591no—
1043C2×C22⋊Q8—591no—
1044C2×C22⋊Q8—591no—
1045C2×C22⋊Q8—591no—
1046C2×#121—591no—
1047C2×#121—591no—
1048C2×#121—591no—
1049C2×#121C2×D5911yescharacteristic, complemented
1050C2×#121C2×D5911yescharacteristic, complemented
1051C2×#120—591no—
1052C2×#120—591no—
1053C2×#120—591no—
1054C2×#120—591no—
1055C2×#120—591no—
1056C2×#120—591no—
1057C2×#120—591no—
1058C2×#120—591no—
1059C2×#120—591no—
1060C2×#120—591no—
1061C2×#120—591no—
1062C2×#120—591no—
1063C2×#120C2×D5911yescharacteristic
1064C2×#120C2×D5911yescharacteristic
1065C2×C4×D4—591no—
1066C2×C4×D4—591no—
1067C2×C4×D4—591no—
1068C2×C4×D4—591no—
1069C2×C4×D4—591no—
1070C2×C4×D4C2×D5911yescharacteristic, complemented
1071C22×C22⋊C4—591no—
1072C22×C22⋊C4—591no—
1073C22×C22⋊C4—591no—
1074C22×C22⋊C4—591no—
1075C22×C22⋊C4—591no—
1076C22×C22⋊C4—591no—
1077C22×C22⋊C4—591no—
1078C22×C22⋊C4—591no—
1079C22×C22⋊C4—591no—
1080C22×C22⋊C4—591no—
1081C22×C22⋊C4—591no—
1082C22×C22⋊C4—1188no—
1083C22×C22⋊C4C2×D5911yescharacteristic
1084#399—591no—
1085#399—591no—
1086#397—591no—
1087#397—591no—
1088#397—591no—
1089#397—591no—
1090#397—591no—
1091#397—591no—
1092#397—591no—
1093#397—591no—
1094#397—591no—
1095#397—591no—
1096#396—591no—
1097#396—591no—
1098#396—591no—
1099#396C2×D5911yescharacteristic, complemented
1100#394—591no—
1101#394—591no—
1102#394—591no—
1103#394—591no—
1104#394—591no—
1105#394—591no—
1106#394—591no—
1107#394—591no—
1108#394—591no—
1109#394—591no—
1110#394C2×D5911yescharacteristic, complemented
1111#394C2×D5911yescharacteristic, complemented
1112#393—591no—
1113#393—591no—
1114#392—591no—
1115#392C2×D5911yescharacteristic, complemented
1116#390—591no—
1117#390—591no—
1118#390—591no—
1119#390C2×D5911yescharacteristic, complemented
1120#388—591no—
1121#388—591no—
1122#388—591no—
1123#388—591no—
1124#388—591no—
1125#388—591no—
1126#388—591no—
1127#388—591no—
1128#388—591no—
1129#388—591no—
1130#388—591no—
1131#388—591no—
1132#388—591no—
1133#388—591no—
1134#388—591no—
1135#388C2×D5911yescharacteristic, complemented
1136#386—591no—
1137#386—591no—
1138#386—591no—
1139#386—591no—
1140#386—591no—
1141#386—591no—
1142#386—591no—
1143#386—591no—
1144#386—591no—
1145#386—591no—
1146#386—591no—
1147#386—591no—
1148#386—591no—
1149#386—591no—
1150#386C2×D5911yescharacteristic, complemented
1151#386C2×D5911yescharacteristic, complemented
1152#385—591no—
1153#385—591no—
1154#385—591no—
1155#385—591no—
1156#385—591no—
1157#385—591no—
1158#385—591no—
1159#385—591no—
1160#385—591no—
1161#385—591no—
1162#385—591no—
1163#385C2×D5911yescharacteristic, complemented
1164#380—591no—
1165#380—591no—
1166#380—591no—
1167#380—591no—
1168#380—591no—
1169#380—591no—
1170#379—591no—
1171#379—591no—
1172#379—591no—
1173#379—591no—
1174#379—591no—
1175#379—591no—
1176#379—591no—
1177#379—591no—
1178#379—591no—
1179#379—591no—
1180#379—591no—
1181#379—591no—
1182#379—591no—
1183#379—591no—
1184C4×C22⋊C4—591no—
1185C4×C22⋊C4—591no—
1186C4×C22⋊C4—591no—
1187C4×C22⋊C4—591no—
1188C4×C22⋊C4—591no—
1189C4×C22⋊C4—591no—
1190C59#3498811yescharacteristic, complemented, Sylow
1191C25—591no—
1192C25—591no—
1193C25—591no—
1194C25—591no—
1195C25—591no—
1196C25—591no—
1197C25—1184no—
1198C25—1184no—
1199C25—1184no—
1200C25—2362no—
1201C25—2362no—
1202C25—2362no—
1203C25—2362no—
1204C25C22×D5911yescharacteristic
1205C22×Q8—591no—
1206C22×D4—591no—
1207C22×D4—591no—
1208C22×D4—591no—
1209C22×D4—591no—
1210C22×D4—591no—
1211C22×D4—591no—
1212C22×D4—591no—
1213C22×D4—591no—
1214C22×D4C22×D5911yescharacteristic
1215C22×D4C22×D5911yescharacteristic
1216C22×D4C22×D5911yescharacteristic
1217C22×D4C22×D5911yescharacteristic
1218C22×D4C22×D5911yescharacteristic
1219C22×D4C22×D5911yescharacteristic
1220C22×D4C22×D5911yescharacteristic, complemented
1221C23×C4—591no—
1222C23×C4—591no—
1223C23×C4—591no—
1224C23×C4—591no—
1225C23×C4—591no—
1226C23×C4—591no—
1227C23×C4—591no—
1228C23×C4—591no—
1229C23×C4—591no—
1230C23×C4—591no—
1231C23×C4—591no—
1232C23×C4—1184no—
1233C23×C4—1184no—
1234C23×C4—2362no—
1235C23×C4—2362no—
1236C23×C4—2362no—
1237C23×C4—2362no—
1238C23×C4C22×D5911yescharacteristic
1239C23×C4C22×D5911yescharacteristic
1240C23×C4C22×D5911yescharacteristic, complemented
1241#126—1184no—
1242#126—1184no—
1243#124—1184no—
1244#124—1184no—
1245#123—1184no—
1246#123—1184no—
1247C22⋊Q8—1184no—
1248C22⋊Q8—2362no—
1249C22⋊Q8—2362no—
1250#121—24no—
1251#121—42no—
1252#121—1184no—
1253#121—1184no—
1254#121—2362no—
1255#120—42no—
1256#120—42no—
1257#120—1184no—
1258#120—1184no—
1259#120—1184no—
1260#120—1184no—
1261#120—1184no—
1262#120—1184no—
1263#120—2362no—
1264#120—2362no—
1265#120—2362no—
1266#120—2362no—
1267#120—2362no—
1268#120—2362no—
1269C4×D4—42no—
1270C4×D4—1184no—
1271C4×D4—1184no—
1272C4×D4—2362no—
1273C4×D4—2362no—
1274C4×D4—2362no—
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⋊C4C22×D5911yescharacteristic, complemented
1290C2×C4⋊C4C22×D5911yescharacteristic, complemented
1291C2×C4⋊C4C22×D5911yescharacteristic, complemented
1292C2×C4⋊C4C22×D5911yescharacteristic, complemented
1293C2×C22⋊C4—24no—
1294C2×C22⋊C4—591no—
1295C2×C22⋊C4—591no—
1296C2×C22⋊C4—591no—
1297C2×C22⋊C4—598no—
1298C2×C22⋊C4—591no—
1299C2×C22⋊C4—591no—
1300C2×C22⋊C4—591no—
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—591no—
1337C2×C22⋊C4—591no—
1338C2×C22⋊C4—591no—
1339C2×C22⋊C4—591no—
1340C2×C22⋊C4—591no—
1341C2×C22⋊C4—591no—
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—1184no—
1351C2×C22⋊C4—1184no—
1352C2×C22⋊C4—1184no—
1353C2×C22⋊C4—1184no—
1354C2×C22⋊C4—1184no—
1355C2×C22⋊C4—1184no—
1356C2×C22⋊C4—1184no—
1357C2×C22⋊C4—1184no—
1358C2×C22⋊C4—1184no—
1359C2×C22⋊C4—1184no—
1360C2×C22⋊C4C22×D5911yescharacteristic
1361C2×C22⋊C4C22×D5911yescharacteristic
1362C2×C22⋊C4C22×D5911yescharacteristic
1363C2×C22⋊C4C22×D5911yescharacteristic
1364C2×C22⋊C4C22×D5911yescharacteristic
1365C2×C22⋊C4C22×D5911yescharacteristic
1366C2×C22⋊C4C22×D5911yescharacteristic
1367C2×C22⋊C4C22×D5911yescharacteristic
1368C2×C22⋊C4C22×D5911yescharacteristic
1369C2×C22⋊C4C22×D5911yescharacteristic
1370C2×C22⋊C4C22×D5911yescharacteristic, complemented
1371C2×C22⋊C4C22×D5911yescharacteristic, complemented
1372C2×C22⋊C4C22×D5911yescharacteristic, complemented
1373C2×C22⋊C4C22×D5911yescharacteristic, complemented
1374C2×C22⋊C4C22×D5911yescharacteristic, complemented
1375C2×C42—591no—
1376C2×C42—591no—
1377C2×C42—591no—
1378C2×C42—591no—
1379C2×C42—591no—
1380C2×C42C22×D5911yescharacteristic, complemented
1381#95—591no—
1382#95—591no—
1383#95—591no—
1384#95—591no—
1385#95—591no—
1386#95—591no—
1387#95—591no—
1388#95—591no—
1389#95—591no—
1390#95—591no—
1391#95—591no—
1392#95—591no—
1393#95—591no—
1394#95—591no—
1395#95—591no—
1396#95—591no—
1397#95—591no—
1398#95—591no—
1399#95—591no—
1400#95—591no—
1401#95C22×D5911yescharacteristic, complemented
1402#95C22×D5911yescharacteristic, complemented
1403#95C22×D5911yescharacteristic, complemented
1404#95C22×D5911yescharacteristic, complemented
1405C24—22no—
1406C24—22no—
1407C24—22no—
1408C24—22no—
1409C24—22no—
1410C24—41no—
1411C24—41no—
1412C24—591no—
1413C24—591no—
1414C24—594no—
1415C24—591no—
1416C24—591no—
1417C24—594no—
1418C24—594no—
1419C24—1182no—
1420C24—1182no—
1421C24—1182no—
1422C24—1182no—
1423C24—1182no—
1424C24—1182no—
1425C24—1182no—
1426C24—1182no—
1427C24—1182no—
1428C24—1182no—
1429C24—1182no—
1430C24—1182no—
1431C24—1182no—
1432C24—1182no—
1433C24—1182no—
1434C24—1182no—
1435C24—1182no—
1436C24—1182no—
1437C24—11832no—
1438C24—1182no—
1439C24—1182no—
1440C24—1182no—
1441C24—1182no—
1442C24—1182no—
1443C24—1182no—
1444C24—1182no—
1445C24—2361no—
1446C24—2361no—
1447C24—2361no—
1448C24—2361no—
1449C24—2361no—
1450C24—2361no—
1451C24—2361no—
1452C24—2361no—
1453C24—2361no—
1454C24—2361no—
1455C24—2361no—
1456C24—2361no—
1457C24—2361no—
1458C24—2361no—
1459C24—23616no—
1460C24—23616no—
1461C24—23616no—
1462C24—23616no—
1463C24—23616no—
1464C24—23616no—
1465C24C23×D5911yescharacteristic
1466C24C23×D5911yescharacteristic
1467C24C23×D5911yescharacteristic
1468C24C23×D5911yescharacteristic
1469C24C23×D5911yescharacteristic
1470C2×Q8—1182no—
1471C2×Q8—2361no—
1472C2×Q8—2361no—
1473C2×D4—22no—
1474C2×D4—22no—
1475C2×D4—22no—
1476C2×D4—22no—
1477C2×D4—22no—
1478C2×D4—22no—
1479C2×D4—22no—
1480C2×D4—22no—
1481C2×D4—22no—
1482C2×D4—22no—
1483C2×D4—22no—
1484C2×D4—41no—
1485C2×D4—41no—
1486C2×D4—41no—
1487C2×D4—41no—
1488C2×D4—41no—
1489C2×D4—41no—
1490C2×D4—41no—
1491C2×D4—41no—
1492C2×D4—41no—
1493C2×D4—41no—
1494C2×D4—1182no—
1495C2×D4—1182no—
1496C2×D4—1182no—
1497C2×D4—1182no—
1498C2×D4—1182no—
1499C2×D4—1182no—
1500C2×D4—1182no—
1501C2×D4—1182no—
1502C2×D4—1182no—
1503C2×D4—1182no—
1504C2×D4—1182no—
1505C2×D4—1182no—
1506C2×D4—1182no—
1507C2×D4—1182no—
1508C2×D4—1182no—
1509C2×D4—1182no—
1510C2×D4—2361no—
1511C2×D4—2361no—
1512C2×D4—2361no—
1513C2×D4—2361no—
1514C2×D4—2361no—
1515C2×D4—2361no—
1516C2×D4—2361no—
1517C2×D4—2361no—
1518C22×C4—22no—
1519C22×C4—22no—
1520C22×C4—22no—
1521C22×C4—22no—
1522C22×C4—22no—
1523C22×C4—41no—
1524C22×C4—41no—
1525C22×C4—41no—
1526C22×C4—41no—
1527C22×C4—591no—
1528C22×C4—591no—
1529C22×C4—594no—
1530C22×C4—594no—
1531C22×C4—591no—
1532C22×C4—591no—
1533C22×C4—591no—
1534C22×C4—591no—
1535C22×C4—591no—
1536C22×C4—591no—
1537C22×C4—591no—
1538C22×C4—591no—
1539C22×C4—591no—
1540C22×C4—591no—
1541C22×C4—1182no—
1542C22×C4—1182no—
1543C22×C4—1182no—
1544C22×C4—1182no—
1545C22×C4—1182no—
1546C22×C4—1182no—
1547C22×C4—1182no—
1548C22×C4—1182no—
1549C22×C4—1182no—
1550C22×C4—1182no—
1551C22×C4—1182no—
1552C22×C4—1182no—
1553C22×C4—1182no—
1554C22×C4—1182no—
1555C22×C4—1182no—
1556C22×C4—2361no—
1557C22×C4—2361no—
1558C22×C4—2361no—
1559C22×C4—2361no—
1560C22×C4—2361no—
1561C22×C4—2361no—
1562C22×C4—2361no—
1563C22×C4—2361no—
1564C22×C4—2361no—
1565C22×C4—2361no—
1566C22×C4—2361no—
1567C22×C4—2361no—
1568C22×C4—23616no—
1569C22×C4—23616no—
1570C22×C4—2361no—
1571C22×C4—2361no—
1572C22×C4—2361no—
1573C22×C4—2361no—
1574C22×C4C23×D5911yescharacteristic
1575C22×C4C23×D5911yescharacteristic
1576C22×C4C23×D5911yescharacteristic
1577C22×C4C23×D5911yescharacteristic
1578C22×C4C23×D5911yescharacteristic
1579C22×C4C23×D5911yescharacteristic
1580C22×C4C23×D5911yescharacteristic
1581C22×C4C23×D5911yescharacteristic
1582C22×C4C23×D5911yescharacteristic
1583C22×C4C23×D5911yescharacteristic
1584C4⋊C4—22no—
1585C4⋊C4—41no—
1586C4⋊C4—41no—
1587C4⋊C4—41no—
1588C4⋊C4—1182no—
1589C4⋊C4—1182no—
1590C4⋊C4—1182no—
1591C4⋊C4—1182no—
1592C4⋊C4—1182no—
1593C4⋊C4—2361no—
1594C4⋊C4—2361no—
1595C4⋊C4—2361no—
1596C4⋊C4—2361no—
1597C4⋊C4—2361no—
1598C4⋊C4—2361no—
1599C4⋊C4—2361no—
1600C4⋊C4—2361no—
1601C4⋊C4—2361no—
1602C22⋊C4—22no—
1603C22⋊C4—22no—
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—22no—
1607C22⋊C4—22no—
1608C22⋊C4—41no—
1609C22⋊C4—41no—
1610C22⋊C4—41no—
1611C22⋊C4—41no—
1612C22⋊C4—41no—
1613C22⋊C4—41no—
1614C22⋊C4—41no—
1615C22⋊C4—41no—
1616C22⋊C4—594no—
1617C22⋊C4—594no—
1618C22⋊C4—594no—
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—1182no—
1638C22⋊C4—1182no—
1639C22⋊C4—1182no—
1640C22⋊C4—1182no—
1641C22⋊C4—1182no—
1642C22⋊C4—1182no—
1643C22⋊C4—1182no—
1644C22⋊C4—1182no—
1645C22⋊C4—1182no—
1646C22⋊C4—1182no—
1647C22⋊C4—1182no—
1648C22⋊C4—1182no—
1649C22⋊C4—1182no—
1650C22⋊C4—1182no—
1651C22⋊C4—1182no—
1652C22⋊C4—1182no—
1653C22⋊C4—1182no—
1654C22⋊C4—1182no—
1655C22⋊C4—2361no—
1656C22⋊C4—2361no—
1657C22⋊C4—2361no—
1658C22⋊C4—2361no—
1659C22⋊C4—2361no—
1660C22⋊C4—2361no—
1661C22⋊C4—2361no—
1662C22⋊C4—2361no—
1663C22⋊C4—2361no—
1664C22⋊C4—2361no—
1665C22⋊C4—2361no—
1666C22⋊C4—2361no—
1667C22⋊C4—2361no—
1668C22⋊C4—2361no—
1669C22⋊C4—2361no—
1670C22⋊C4—2361no—
1671C22⋊C4D4×D5914yes—
1672C42—41no—
1673C42—1182no—
1674C42—1182no—
1675C42—2361no—
1676C42—2361no—
1677C42—2361no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—28no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—21no—
1705C23—21no—
1706C23—21no—
1707C23—21no—
1708C23—21no—
1709C23—44no—
1710C23—44no—
1711C23—44no—
1712C23—44no—
1713C23—44no—
1714C23—44no—
1715C23—592no—
1716C23—592no—
1717C23—592no—
1718C23—592no—
1719C23—592no—
1720C23—592no—
1721C23—592no—
1722C23—592no—
1723C23—1188no—
1724C23—1188no—
1725C23—1188no—
1726C23—1188no—
1727C23—1188no—
1728C23—1188no—
1729C23—1188no—
1730C23—1188no—
1731C23—1188no—
1732C23—1188no—
1733C23—1188no—
1734C23—1181no—
1735C23—1181no—
1736C23—1181no—
1737C23—1181no—
1738C23—1181no—
1739C23—1181no—
1740C23—1181no—
1741C23—1181no—
1742C23—1188no—
1743C23—1181no—
1744C23—1181no—
1745C23—1181no—
1746C23—1181no—
1747C23—1181no—
1748C23—1181no—
1749C23—1181no—
1750C23—1181no—
1751C23—1181no—
1752C23—1181no—
1753C23—1181no—
1754C23—1181no—
1755C23—2364no—
1756C23—2364no—
1757C23—2364no—
1758C23—2364no—
1759C23—2364no—
1760C23—2364no—
1761C23—2364no—
1762C23—2364no—
1763C23—2364no—
1764C23—2364no—
1765C23—2364no—
1766C23—2364no—
1767C23—2364no—
1768C23—2364no—
1769C23—2364no—
1770C23—2364no—
1771C23—2364no—
1772C23—2364no—
1773C23—2364no—
1774C23—236128no—
1775C23—2364no—
1776C23—2364no—
1777C23—2364no—
1778C23—2364no—
1779C23—2364no—
1780C23—2364no—
1781C23—2364no—
1782C23—2364no—
1783C23—2364no—
1784C23—2364no—
1785C23—2364no—
1786C23C2×D4×D5912yes—
1787C23#41×D5912yes—
1788C23#41×D5912yes—
1789C23#1427377212yes—
1790C23#1427377212yes—
1791C23C24×D5911yescharacteristic
1792Q8—4722no—
1793D4—44no—
1794D4—44no—
1795D4—82no—
1796D4—82no—
1797D4—82no—
1798D4—82no—
1799D4—82no—
1800D4—4722no—
1801D4—4722no—
1802D4—4722no—
1803D4—4722no—
1804D4—2364no—
1805D4—2364no—
1806D4—2364no—
1807D4—2364no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—21no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—44no—
1837C2×C4—44no—
1838C2×C4—82no—
1839C2×C4—592no—
1840C2×C4—592no—
1841C2×C4—1181no—
1842C2×C4—1181no—
1843C2×C4—1181no—
1844C2×C4—1181no—
1845C2×C4—1181no—
1846C2×C4—1181no—
1847C2×C4—1181no—
1848C2×C4—1181no—
1849C2×C4—1181no—
1850C2×C4—1181no—
1851C2×C4—1181no—
1852C2×C4—1181no—
1853C2×C4—1181no—
1854C2×C4—1181no—
1855C2×C4—1181no—
1856C2×C4—1181no—
1857C2×C4—1181no—
1858C2×C4—1181no—
1859C2×C4—1181no—
1860C2×C4—1181no—
1861C2×C4—1181no—
1862C2×C4—1181no—
1863C2×C4—1181no—
1864C2×C4—1181no—
1865C2×C4—1181no—
1866C2×C4—1181no—
1867C2×C4—1181no—
1868C2×C4—1181no—
1869C2×C4—1181no—
1870C2×C4—1181no—
1871C2×C4—1181no—
1872C2×C4—1181no—
1873C2×C4—1181no—
1874C2×C4—1181no—
1875C2×C4—4722no—
1876C2×C4—2364no—
1877C2×C4—2364no—
1878C2×C4—2364no—
1879C2×C4—2364no—
1880C2×C4—2364no—
1881C2×C4—2364no—
1882C2×C4—2364no—
1883C2×C4—2364no—
1884C2×C4—2364no—
1885C2×C4—2364no—
1886C2×C4C2×D4×D5912yes—
1887C2×C4C2×D4×D5912yes—
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—22no—
1895C22—22no—
1896C22—22no—
1897C22—22no—
1898C22—22no—
1899C22—22no—
1900C22—416no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—41no—
1905C22—41no—
1906C22—41no—
1907C22—41no—
1908C22—41no—
1909C22—41no—
1910C22—41no—
1911C22—41no—
1912C22—41no—
1913C22—41no—
1914C22—41no—
1915C22—41no—
1916C22—41no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—594no—
1924C22—594no—
1925C22—11832no—
1926C22—1182no—
1927C22—1182no—
1928C22—1182no—
1929C22—1182no—
1930C22—1182no—
1931C22—1182no—
1932C22—1182no—
1933C22—1182no—
1934C22—1182no—
1935C22—1182no—
1936C22—1182no—
1937C22—1182no—
1938C22—1182no—
1939C22—1182no—
1940C22—1182no—
1941C22—1182no—
1942C22—1182no—
1943C22—1182no—
1944C22—23616no—
1945C22—23616no—
1946C22—23616no—
1947C22—23616no—
1948C22—23616no—
1949C22—2361no—
1950C22—2361no—
1951C22—2361no—
1952C22—2361no—
1953C22—2361no—
1954C22—2361no—
1955C22—2361no—
1956C22—2361no—
1957C22#1683798414yescomplemented
1958C22C22×D4×D5911yescharacteristic
1959C22C2×#41×D5911yescharacteristic
1960C22C2×#41×D5911yescharacteristic
1961C22H(5,𝔽2)×D5911yescharacteristic
1962C22H(5,𝔽2)×D5911yescharacteristic
1963C22C2×#1427377211yescharacteristic
1964C22C2×#1427377211yescharacteristic
1965C4—22no—
1966C4—22no—
1967C4—41no—
1968C4—41no—
1969C4—41no—
1970C4—41no—
1971C4—41no—
1972C4—41no—
1973C4—41no—
1974C4—41no—
1975C4—1182no—
1976C4—1182no—
1977C4—2361no—
1978C4—2361no—
1979C4—2361no—
1980C4—2361no—
1981C4—2361no—
1982C4—2361no—
1983C4—2361no—
1984C4—2361no—
1985C4—2361no—
1986C4—2361no—
1987C2—24no—
1988C2—42no—
1989C2—42no—
1990C2—81no—
1991C2—81no—
1992C2—1184no—
1993C2—1184no—
1994C2—2362no—
1995C2—2362no—
1996C2#525×D5911yescharacteristic
1997C2#538×D5911yescharacteristic
1998C2C2×#1683798411yescharacteristic
1999C2#2143772411yescharacteristic
2000C2#2143772411yescharacteristic
2001C2#2143777811yescharacteristic
2002C2#2143777811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2424C2
hypercenter#2424D59
hypocenterC59#34988
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2424

Complements

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

NH ≅ G/Ntype
1. C2×#16837984C2semidirect
2. C22×C22⋊C4×D59C2semidirect
3. #21432382C2semidirect
4. #21432375C2semidirect
5. #21432372C2semidirect
6. #21432372C2semidirect
7. #21429906C2semidirect
8. #21429868C2semidirect
9. #21429868C2semidirect
10. #21429829C2semidirect
11. #21428349C2semidirect
12. #21428345C2semidirect
13. #21428340C2semidirect
14. #21428336C2semidirect
15. #21428228C2semidirect
16. #21428224C2semidirect
17. #21428221C2semidirect
18. #21428217C2semidirect
19. #21427638C2semidirect
20. #21427635C2semidirect
21. #21427629C2semidirect
22. #21427557C2semidirect
23. #21427554C2semidirect
24. #21427552C2semidirect
25. #21427551C2semidirect
26. #21426755C2semidirect
27. #21426752C2semidirect
28. #21426690C2semidirect
29. #21426601C2semidirect
30. C4×#14273695C2semidirect
31. C59×#2424C2semidirect
36. C2×#14273722C22semidirect
37. C2×#14273720C22semidirect
38. C2×#14273714C22semidirect
39. C2×#14273713C22semidirect
40. C2×#14273710C22semidirect
41. C2×#14273708C22semidirect
42. C2×#14273705C22semidirect
43. C2×#14273705C22semidirect
44. C2×#14273704C22semidirect
45. C2×#14273699C22semidirect
46. C2×#14273698C22semidirect
47. C2×#14273698C22semidirect
60. C2×D4×Dic59C22semidirect
61. C2×C4×C22⋊D59C22semidirect
62. C2×C4×C22⋊D59C22semidirect
63. C2×(C22⋊D59)⋊C4C22semidirect
64. C2×(C22⋊D59)⋊C4C22semidirect
77. #16837338C22semidirect
78. #16837337C22semidirect
79. #16837331C22semidirect
80. #16837331C22semidirect
81. #16837330C22semidirect
82. #16837330C22semidirect
83. #16837329C22semidirect
84. #16837328C22semidirect
85. #16837328C22semidirect
86. #16837327C22semidirect
87. #16837327C22semidirect
88. #16837327C22semidirect
89. #16837325C22semidirect
90. #16837324C22semidirect
91. #16837324C22semidirect
92. #16837318C22semidirect
93. #16837318C22semidirect
94. #16837317C22semidirect
95. #16837317C22semidirect
96. #16837317C22semidirect
97. #16837317C22semidirect
98. #16837316C22semidirect
99. #16837316C22semidirect
100. #16837316C22semidirect
101. #16837316C22semidirect
102. #16837315C22semidirect
103. #16837314C22semidirect
104. #16837310C22semidirect
105. #16837305C22semidirect
106. #16837302C22semidirect
107. #16837302C22semidirect
108. #16837296C22semidirect
109. #16837296C22semidirect
110. #16837296C22semidirect
111. #16837295C22semidirect
112. #16837294C22semidirect
113. #16837294C22semidirect
114. #16837293C22semidirect
115. #16837293C22semidirect
116. #16837292C22semidirect
117. #16837292C22semidirect
118. #16837291C22semidirect
119. #16837291C22semidirect
120. #16837290C22semidirect
121. #16837290C22semidirect
122. #16837290C22semidirect
123. #16837282C22semidirect
124. #16837282C22semidirect
125. #16837282C22semidirect
126. #16837282C22semidirect
127. #16837281C22semidirect
128. #16837279C22semidirect
129. #16837278C22semidirect
130. #16837278C22semidirect
131. #16837278C22semidirect
132. #16837278C22semidirect
133. #16837278C22semidirect
134. #16837278C22semidirect
135. #16837278C22semidirect
136. #16837278C22semidirect
137. #16837276C22semidirect
138. #16837276C22semidirect
139. #16837276C22semidirect
140. #16837276C22semidirect
141. #16837275C22semidirect
142. #16837275C22semidirect
143. #16837274C22semidirect
144. #16837273C22semidirect
145. #16837273C22semidirect
146. #16837273C22semidirect
147. #16837273C22semidirect
148. #16837262C22semidirect
149. #16837261C22semidirect
150. #16837261C22semidirect
151. #16837260C22semidirect
152. #16837259C22semidirect
153. #16837259C22semidirect
168. C22⋊C4×Dic59C22semidirect
169. C4×(C2×D59)⋊C4C22semidirect
170. C4×(C2×D59)⋊C4C22semidirect
171. C4×C22⋊Dic59C22semidirect
172. #16837249C22semidirect
173. #16837249C22semidirect
174. C2×#121×C59C22semidirect
175. C2×#121×C59C22semidirect
178. C2×C4×D4×C59C22semidirect
180. C59×#396C22semidirect
181. C59×#394C22semidirect
182. C59×#394C22semidirect
183. C59×#392C22semidirect
184. C59×#390C22semidirect
185. C59×#388C22semidirect
186. C59×#386C22semidirect
187. C59×#386C22semidirect
188. C59×#385C22semidirect
202. C22×Dic118C23semidirect
213. C23×Dic59C23semidirect
257. C2×C4⋊Dic59C23semidirect
258. C2×C4⋊Dic59C23semidirect
259. C2×C4⋊Dic59C23semidirect
260. C2×C4⋊Dic59C23semidirect
261. C2×Dic59⋊C4C23semidirect
262. C2×Dic59⋊C4C23semidirect
263. C2×Dic59⋊C4C23semidirect
264. C2×Dic59⋊C4C23semidirect
265. C2×Dic59⋊C4C23semidirect
266. C2×Dic59⋊C4C23semidirect
267. C2×Dic59⋊C4C23semidirect
268. C2×Dic59⋊C4C23semidirect
269. C2×Dic59⋊C4C23semidirect
270. C2×Dic59⋊C4C23semidirect
288. C2×C22⋊Dic59C23semidirect
289. C2×C22⋊Dic59C23semidirect
290. C2×C22⋊Dic59C23semidirect
291. C2×C22⋊Dic59C23semidirect
292. C2×C22⋊Dic59C23semidirect
293. C2×C22⋊Dic59C23semidirect
294. C2×C22⋊Dic59C23semidirect
336. C22⋊C4×D59D4semidirect
337. C2×C4×Dic59C23semidirect
338. C2×C4×Dic59C23semidirect
339. C2×C4×Dic59C23semidirect
340. C2×C4×Dic59C23semidirect
341. C2×C4×Dic59C23semidirect
342. C59⋊#95C23semidirect
343. C59⋊#95C23semidirect
344. C59⋊#95C23semidirect
345. C59⋊#95C23semidirect
346. C59⋊#95C23semidirect
347. C59⋊#95C23semidirect
348. C59⋊#95C23semidirect
349. C59⋊#95C23semidirect
350. C59⋊#95C23semidirect
351. C59⋊#95C23semidirect
352. C59⋊#95C23semidirect
353. C59⋊#95C23semidirect
354. C59⋊#95C23semidirect
355. C59⋊#95C23semidirect
356. C59⋊#95C23semidirect
357. C59⋊#95C23semidirect
358. C59⋊#95C23semidirect
359. C59⋊#95C23semidirect
360. C59⋊#95C23semidirect
361. C59⋊#95C23semidirect
369. C22×D4×C59C23semidirect
372. C23×C4×C59C23semidirect
378. C2×C4⋊C4×C59C23semidirect
379. C2×C4⋊C4×C59C23semidirect
380. C2×C4⋊C4×C59C23semidirect
381. C2×C4⋊C4×C59C23semidirect
393. C2×C22⋊C4×C59C23semidirect
394. C2×C22⋊C4×C59C23semidirect
395. C2×C22⋊C4×C59C23semidirect
396. C2×C22⋊C4×C59C23semidirect
397. C2×C22⋊C4×C59C23semidirect
398. C2×C42×C59C23semidirect
399. #95×C59C23semidirect
400. #95×C59C23semidirect
401. #95×C59C23semidirect
402. #95×C59C23semidirect
922. C22×C59#538semidirect
963. C2×D59#538semidirect
1007. #2424D59semidirect
1049. C2×#121C2×D59semidirect
1050. C2×#121C2×D59semidirect
1070. C2×C4×D4C2×D59semidirect
1099. #396C2×D59semidirect
1110. #394C2×D59semidirect
1111. #394C2×D59semidirect
1115. #392C2×D59semidirect
1119. #390C2×D59semidirect
1135. #388C2×D59semidirect
1150. #386C2×D59semidirect
1151. #386C2×D59semidirect
1163. #385C2×D59semidirect
1190. C59#34988semidirect
1220. C22×D4C22×D59semidirect
1240. C23×C4C22×D59semidirect
1289. C2×C4⋊C4C22×D59semidirect
1290. C2×C4⋊C4C22×D59semidirect
1291. C2×C4⋊C4C22×D59semidirect
1292. C2×C4⋊C4C22×D59semidirect
1370. C2×C22⋊C4C22×D59semidirect
1371. C2×C22⋊C4C22×D59semidirect
1372. C2×C22⋊C4C22×D59semidirect
1373. C2×C22⋊C4C22×D59semidirect
1374. C2×C22⋊C4C22×D59semidirect
1380. C2×C42C22×D59semidirect
1401. #95C22×D59semidirect
1402. #95C22×D59semidirect
1403. #95C22×D59semidirect
1404. #95C22×D59semidirect
1957. C22#16837984semidirect

Maximal subgroups

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

subgroupindex
C2×#168379842
C22×C22⋊C4×D592
#214323822
#214323752
#214323722
#214299062
#214298682
#214298292
#214283492
#214283452
#214283402
#214283362
#214282282
#214282242
#214282212
#214282172
#214276382
#214276352
#214276292
#214275572
#214275542
#214275522
#214275512
#214267552
#214267522
#214266902
#214266012
C4×#142736952
C59×#24242
#3498859