Finite Group Databasebeta

← #28756237

Subgroups — #28756237

Order 15104.

3910 conjugacy classes of subgroups.

The subgroup lattice has 1960 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837915C211yesmaximal, characteristic, complemented
2C2×#16837915C211yesmaximal, characteristic, complemented
3C22×#14273689C211yesmaximal, characteristic, complemented
4C2×C4×D4×D59C211yesmaximal, characteristic, complemented
5#21428089C211yesmaximal, characteristic, complemented
6#21427995C211yesmaximal, characteristic, complemented
7#21427986C211yesmaximal, characteristic, complemented
8#21427980C211yesmaximal, characteristic, complemented
9#21427898C211yesmaximal, characteristic, complemented
10#21427832C211yesmaximal, characteristic, complemented
11#21427831C211yesmaximal, characteristic, complemented
12#21427759C211yesmaximal, characteristic, complemented
13#21427627C211yesmaximal, characteristic, complemented
14#21427626C211yesmaximal, characteristic, complemented
15#21427561C211yesmaximal, characteristic, complemented
16#21427560C211yesmaximal, characteristic, complemented
17#21427469C211yesmaximal, characteristic, complemented
18#21427468C211yesmaximal, characteristic, complemented
19#21427408C211yesmaximal, characteristic, complemented
20#21427376C211yesmaximal, characteristic, complemented
21#21427341C211yesmaximal, characteristic, complemented
22#21427337C211yesmaximal, characteristic, complemented
23#21427314C211yesmaximal, characteristic, complemented
24#21426606C211yesmaximal, characteristic, complemented
25#21426604C211yesmaximal, characteristic, complemented
26#21426601C211yesmaximal, characteristic, complemented
27#21426597C211yesmaximal, characteristic, complemented
28#21426597C211yesmaximal, characteristic, complemented
29#21426534C211yesmaximal, characteristic, complemented
30#21426532C211yesmaximal, characteristic, complemented
31C59×#2449C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic, complemented
33C23×D236C2211yescharacteristic
34C22×D4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic
36C23×C4×D59C2211yescharacteristic, complemented
37C23×C4×D59C2211yescharacteristic, complemented
38#16837915—28no—
39#16837915—28no—
40C2×#14273712C2211yescharacteristic, complemented
41C2×#14273712C2211yescharacteristic, complemented
42C2×#14273712C2211yescharacteristic, complemented
43C2×#14273712C2211yescharacteristic, complemented
44C2×#14273703C2211yescharacteristic, complemented
45C2×#14273703C2211yescharacteristic, complemented
46C2×#14273702C2211yescharacteristic
47C2×#14273702C2211yescharacteristic
48C2×#14273702C2211yescharacteristic, complemented
49C2×#14273701C2211yescharacteristic
50C2×#14273701C2211yescharacteristic, complemented
51C2×#14273699C2211yescharacteristic
52C2×#14273697C2211yescharacteristic
53C2×#14273697C2211yescharacteristic
54C2×#14273697C2211yescharacteristic
55C2×#14273697C2211yescharacteristic
56C2×#14273697C2211yescharacteristic, complemented
57C2×#14273697C2211yescharacteristic, complemented
58C2×#14273695C2211yescharacteristic
59C2×C4×D236C2211yescharacteristic, complemented
60C2×D4×Dic59C2211yescharacteristic
61C2×#14273689—28no—
62C2×#14273689C2211yescharacteristic
63C2×#14273689C2211yescharacteristic
64C2×#14273689C2211yescharacteristic
65C2×#14273689C2211yescharacteristic
66C2×#14273689C2211yescharacteristic, complemented
67C2×#14273689C2211yescharacteristic, complemented
68C2×#14273689C2211yescharacteristic, complemented
69C2×#14273689C2211yescharacteristic, complemented
70C2×#14273689C2211yescharacteristic, complemented
71C2×#14273689C2211yescharacteristic, complemented
72C2×#14273689C2211yescharacteristic, complemented
73C2×#14273689C2211yescharacteristic, complemented
74C2×#14273689C2211yescharacteristic, complemented
75C2×C4×C22⋊D59C2211yescharacteristic
76C2×C4×C22⋊D59C2211yescharacteristic, complemented
77C2×(C22⋊D59)⋊C4C2211yescharacteristic
78C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
79C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
80C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
81C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
82C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
83C4×D4×D59—28no—
84C2×#14273685C2211yescharacteristic, complemented
85C2×#14273685C2211yescharacteristic, complemented
86C2×C4⋊C4×D59C2211yescharacteristic, complemented
87C22×(C2×D59)⋊C4C2211yescharacteristic
88C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
89C2×C22⋊C4×D59C2211yescharacteristic
90C2×C22⋊C4×D59C2211yescharacteristic, complemented
91C22×C4×Dic59C2211yescharacteristic, complemented
92C2×C42×D59C2211yescharacteristic, complemented
93#16837337C2211yescharacteristic, complemented
94#16837337C2211yescharacteristic, complemented
95#16837337C2211yescharacteristic, complemented
96#16837335C2211yescharacteristic, complemented
97#16837331C2211yescharacteristic, complemented
98#16837328C2211yescharacteristic, complemented
99#16837324C2211yescharacteristic, complemented
100#16837324C2211yescharacteristic, complemented
101#16837324C2211yescharacteristic, complemented
102#16837320C2211yescharacteristic, complemented
103#16837320C2211yescharacteristic, complemented
104#16837319C2211yescharacteristic, complemented
105#16837319C2211yescharacteristic, complemented
106#16837319C2211yescharacteristic, complemented
107#16837319C2211yescharacteristic, complemented
108#16837319C2211yescharacteristic, complemented
109#16837318C2211yescharacteristic, complemented
110#16837318C2211yescharacteristic, complemented
111#16837313C2211yescharacteristic, complemented
112#16837312C2211yescharacteristic
113#16837312C2211yescharacteristic
114#16837312C2211yescharacteristic, complemented
115#16837312C2211yescharacteristic, complemented
116#16837312C2211yescharacteristic, complemented
117#16837311C2211yescharacteristic
118#16837311C2211yescharacteristic
119#16837311C2211yescharacteristic, complemented
120#16837311C2211yescharacteristic, complemented
121#16837304C2211yescharacteristic, complemented
122#16837302C2211yescharacteristic, complemented
123#16837299C2211yescharacteristic, complemented
124#16837294C2211yescharacteristic, complemented
125#16837294C2211yescharacteristic, complemented
126#16837293C2211yescharacteristic, complemented
127#16837292C2211yescharacteristic, complemented
128#16837292C2211yescharacteristic, complemented
129#16837292C2211yescharacteristic, complemented
130#16837291C2211yescharacteristic, complemented
131#16837290C2211yescharacteristic, complemented
132#16837289C2211yescharacteristic, complemented
133#16837288C2211yescharacteristic, complemented
134#16837283C2211yescharacteristic, complemented
135#16837281C2211yescharacteristic
136#16837281C2211yescharacteristic, complemented
137#16837281C2211yescharacteristic, complemented
138#16837281C2211yescharacteristic, complemented
139#16837280C2211yescharacteristic
140#16837280C2211yescharacteristic
141#16837280C2211yescharacteristic
142#16837280C2211yescharacteristic
143#16837280C2211yescharacteristic, complemented
144#16837280C2211yescharacteristic, complemented
145#16837280C2211yescharacteristic, complemented
146#16837280C2211yescharacteristic, complemented
147#16837279C2211yescharacteristic
148#16837278C2211yescharacteristic, complemented
149#16837278C2211yescharacteristic, complemented
150#16837277C2211yescharacteristic, complemented
151#16837276C2211yescharacteristic, complemented
152#16837276C2211yescharacteristic, complemented
153#16837276C2211yescharacteristic, complemented
154#16837275C2211yescharacteristic, complemented
155#16837273C2211yescharacteristic, complemented
156#16837273C2211yescharacteristic, complemented
157#16837273C2211yescharacteristic, complemented
158#16837273C2211yescharacteristic, complemented
159#16837273C2211yescharacteristic, complemented
160#16837260C2211yescharacteristic, complemented
161#16837259C2211yescharacteristic, complemented
162#16837257C2211yescharacteristic
163#16837257C2211yescharacteristic, complemented
164#16837257C2211yescharacteristic, complemented
165C4⋊C4×Dic59C2211yescharacteristic, complemented
166#16837253C2211yescharacteristic, complemented
167C22⋊C4×Dic59C2211yescharacteristic, complemented
168C22⋊C4×Dic59C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172#16837249C2211yescharacteristic, complemented
173#16837249C2211yescharacteristic, complemented
174#16837249C2211yescharacteristic, complemented
175#16837247C2211yescharacteristic, complemented
176C2×C22⋊Q8×C59C2211yescharacteristic, complemented
177C2×C22⋊Q8×C59C2211yescharacteristic, complemented
178C2×C4×D4×C59C2211yescharacteristic
179C22×C4⋊C4×C59C2211yescharacteristic, complemented
180C59×#399C2211yescharacteristic, complemented
181C59×#398C2211yescharacteristic, complemented
182C59×#396C2211yescharacteristic, complemented
183C59×#395C2211yescharacteristic, complemented
184C59×#389C2211yescharacteristic, complemented
185C59×#387C2211yescharacteristic, complemented
186C59×#386C2211yescharacteristic
187C59×#386C2211yescharacteristic
188C59×#385C2211yescharacteristic, complemented
189C59×#385C2211yescharacteristic, complemented
190C59×#385C2211yescharacteristic, complemented
191C24×D59C2311yescharacteristic
192C24×D59C2311yescharacteristic
193C24×D59C2311yescharacteristic
194C2×#11745689—24no—
195C2×#11745689—24no—
196C2×#11745689—42no—
197C22×D236—24no—
198C22×D236—24no—
199C22×D236—24no—
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×D236C2311yescharacteristic
203C22×D236C2311yescharacteristic
204C22×D236C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C22×D236C2311yescharacteristic
212C22×C22⋊D59C2311yescharacteristic
213C22×C22⋊D59C2311yescharacteristic
214C22×C22⋊D59C2311yescharacteristic
215C22×C22⋊D59C2311yescharacteristic
216C22×C22⋊D59C2311yescharacteristic
217C22×C22⋊D59C2311yescharacteristic
218C2×D4×D59—24no—
219C2×D4×D59—24no—
220C2×D4×D59—24no—
221C23×Dic59C2311yescharacteristic
222C23×Dic59C2311yescharacteristic
223C23×Dic59C2311yescharacteristic
224C22×C4×D59—24no—
225C22×C4×D59—24no—
226C22×C4×D59—24no—
227C22×C4×D59—24no—
228C22×C4×D59—24no—
229C22×C4×D59—24no—
230C22×C4×D59—42no—
231C22×C4×D59—42no—
232C22×C4×D59—42no—
233C22×C4×D59C2311yescharacteristic
234C22×C4×D59C2311yescharacteristic
235C22×C4×D59C2311yescharacteristic
236C22×C4×D59C2311yescharacteristic
237C22×C4×D59C2311yescharacteristic
238C22×C4×D59C2311yescharacteristic
239C22×C4×D59C2311yescharacteristic
240C22×C4×D59C2311yescharacteristic
241C22×C4×D59C2311yescharacteristic
242C22×C4×D59C2311yescharacteristic
243C22×C4×D59C2311yescharacteristic
244C22×C4×D59C2311yescharacteristic
245C22×C4×D59C2311yescharacteristic
246C22×C4×D59C2311yescharacteristic
247#14273712—24no—
248#14273712—24no—
249#14273712—24no—
250#14273712—24no—
251#14273703—24no—
252#14273703—24no—
253#14273702—24no—
254#14273702—24no—
255#14273702—24no—
256#14273701—24no—
257#14273701—24no—
258#14273699—24no—
259#14273697—24no—
260#14273697—24no—
261#14273697—24no—
262#14273697—24no—
263#14273697—24no—
264#14273697—24no—
265#14273695—24no—
266C4×D236—24no—
267D4×Dic59—24no—
268#14273689—24no—
269#14273689—24no—
270#14273689—24no—
271#14273689—24no—
272#14273689—24no—
273#14273689—24no—
274#14273689—24no—
275#14273689—24no—
276#14273689—24no—
277#14273689—24no—
278#14273689—24no—
279#14273689—42no—
280#14273689D418yescomplemented
281C4×C22⋊D59—24no—
282C4×C22⋊D59—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)⋊C4D418yescomplemented
289#14273685—24no—
290#14273685—24no—
291C2×C4⋊Dic59C2311yescharacteristic
292C2×C4⋊Dic59C2311yescharacteristic
293C2×C4⋊Dic59C2311yescharacteristic
294C2×C4⋊Dic59C2311yescharacteristic
295C2×Dic59⋊C4C2311yescharacteristic
296C2×Dic59⋊C4C2311yescharacteristic
297C2×Dic59⋊C4C2311yescharacteristic
298C2×Dic59⋊C4C2311yescharacteristic
299C2×Dic59⋊C4C2311yescharacteristic
300C2×Dic59⋊C4C2311yescharacteristic
301C2×Dic59⋊C4C2311yescharacteristic
302C2×Dic59⋊C4C2311yescharacteristic
303C4⋊C4×D59—24no—
304C2×C22⋊Dic59C2311yescharacteristic
305C2×C22⋊Dic59C2311yescharacteristic
306C2×C22⋊Dic59C2311yescharacteristic
307C2×C22⋊Dic59C2311yescharacteristic
308C2×(C2×D59)⋊C4—24no—
309C2×(C2×D59)⋊C4—24no—
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×(C2×D59)⋊C4C2311yescharacteristic
316C2×(C2×D59)⋊C4C2311yescharacteristic
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C2×(C2×D59)⋊C4C2311yescharacteristic
319C2×(C2×D59)⋊C4C2311yescharacteristic
320C2×(C2×D59)⋊C4C2311yescharacteristic
321C2×(C2×D59)⋊C4C2311yescharacteristic
322C2×(C2×D59)⋊C4C2311yescharacteristic
323C2×(C2×D59)⋊C4C2311yescharacteristic
324C2×(C2×D59)⋊C4C2311yescharacteristic
325C2×(C2×D59)⋊C4C2311yescharacteristic
326C2×(C2×D59)⋊C4C2311yescharacteristic
327C2×(C2×D59)⋊C4C2311yescharacteristic
328C2×(C2×D59)⋊C4C2311yescharacteristic
329C2×(C2×D59)⋊C4C2311yescharacteristic
330C2×(C2×D59)⋊C4C2311yescharacteristic
331C2×(C2×D59)⋊C4C2311yescharacteristic
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
350C22⋊C4×D59—24no—
351C22⋊C4×D59—24no—
352C2×C4×Dic59—24no—
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
363C42×D59—24no—
364C59⋊#95C2311yescharacteristic
365C59⋊#95C2311yescharacteristic
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
380C22×Q8×C59C2311yescharacteristic
381C22×D4×C59C2311yescharacteristic
382C23×C4×C59C2311yescharacteristic
383C23×C4×C59C2311yescharacteristic
384C23×C4×C59C2311yescharacteristic
385C23×C4×C59C2311yescharacteristic
386C22⋊Q8×C59—24no—
387C22⋊Q8×C59—24no—
388C4×D4×C59—24no—
389C2×C4⋊C4×C59—24no—
390C2×C4⋊C4×C59C2311yescharacteristic
391C2×C4⋊C4×C59C2311yescharacteristic
392C2×C4⋊C4×C59C2311yescharacteristic
393C2×C4⋊C4×C59C2311yescharacteristic
394C2×C4⋊C4×C59C2311yescharacteristic
395C2×C4⋊C4×C59C2311yescharacteristic
396C2×C4⋊C4×C59C2311yescharacteristic
397C2×C4⋊C4×C59C2311yescharacteristic
398C2×C4⋊C4×C59C2311yescharacteristic
399C2×C4⋊C4×C59C2311yescharacteristic
400C2×C4⋊C4×C59C2311yescharacteristic
401C2×C4⋊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×C42×C59C2311yescharacteristic
411#95×C59C2311yescharacteristic
412#95×C59C2311yescharacteristic
413#95×C59C2311yescharacteristic
414#95×C59C2311yescharacteristic
415#95×C59C2311yescharacteristic
416#95×C59C2311yescharacteristic
417#95×C59C2311yescharacteristic
418#95×C59C2311yescharacteristic
419C24×C59C2411yescharacteristic
420C24×C59C2411yescharacteristic
421C23×D59—22no—
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—41no—
436C23×D59—41no—
437C23×D59—41no—
438C23×D59—41no—
439C23×D59—41no—
440C23×D59—41no—
441C23×D59#4114yescomplemented
442C23×D59C2411yescharacteristic
443C23×D59C2411yescharacteristic
444C23×D59C2411yescharacteristic
445C23×D59C2411yescharacteristic
446C23×D59C2411yescharacteristic
447C23×D59C2411yescharacteristic
448C2×Q8×C59—22no—
449C2×Q8×C59—22no—
450C2×Q8×C59—41no—
451C2×D4×C59—22no—
452C2×D4×C59—22no—
453C2×D4×C59#4114yescomplemented
454C22×C4×C59—22no—
455C22×C4×C59—22no—
456C22×C4×C59—22no—
457C22×C4×C59—22no—
458C22×C4×C59—22no—
459C22×C4×C59—22no—
460C22×C4×C59—22no—
461C22×C4×C59—22no—
462C22×C4×C59—22no—
463C22×C4×C59—41no—
464C22×C4×C59—41no—
465C22×C4×C59—41no—
466C22×C4×C59C2411yescharacteristic
467C22×C4×C59C2411yescharacteristic
468C22×C4×C59C2411yescharacteristic
469C22×C4×C59C2411yescharacteristic
470C22×C4×C59C2411yescharacteristic
471C22×C4×C59C2411yescharacteristic
472C22×C4×C59C2411yescharacteristic
473C22×C4×C59C2411yescharacteristic
474C22×C4×C59C2411yescharacteristic
475C22×C4×C59C2411yescharacteristic
476C22×C4×C59C2411yescharacteristic
477C22×C4×C59C2411yescharacteristic
478C22×C4×C59C2411yescharacteristic
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—41no—
494C2×C22⋊D59—41no—
495C2×C22⋊D59—41no—
496C2×C22⋊D59C2×D414yes—
497C22×Dic59—22no—
498C22×Dic59—22no—
499C22×Dic59—22no—
500C22×Dic59—22no—
501C22×Dic59—22no—
502C22×Dic59—22no—
503C22×Dic59—22no—
504C22×Dic59—41no—
505C22×Dic59C2×D414yes—
506C22×Dic59C2411yescharacteristic
507C22×Dic59C2411yescharacteristic
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2411yescharacteristic
510C22×Dic59C2411yescharacteristic
511C22×Dic59C2411yescharacteristic
512C22×Dic59C2411yescharacteristic
513C22×Dic59C2411yescharacteristic
514C22×Dic59C2411yescharacteristic
515C22×Dic59C2411yescharacteristic
516#11745689—416no—
517D4×D59—232no—
518C2×D236—232no—
519C2×D236—22no—
520C2×D236—22no—
521C2×D236—22no—
522C2×D236—22no—
523C2×D236—22no—
524C2×D236—22no—
525C2×D236—22no—
526C2×D236—22no—
527C2×D236—22no—
528C2×D236—22no—
529C2×D236—22no—
530C2×D236—22no—
531C2×D236—22no—
532C2×D236—22no—
533C2×D236—22no—
534C2×D236—22no—
535C2×D236—22no—
536C2×D236—22no—
537C2×D236—22no—
538C2×D236—22no—
539C2×D236—22no—
540C2×D236—22no—
541C2×D236—22no—
542C2×D236—22no—
543C2×D236—22no—
544C2×D236—22no—
545C2×D236—22no—
546C2×D236—41no—
547C2×D236—41no—
548C2×D236—41no—
549C2×D236—41no—
550C2×D236—41no—
551C2×D236—41no—
552C2×D236—41no—
553C2×D236C2×D414yes—
554C2×D236#4114yescomplemented
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—22no—
564C2×C4×D59—22no—
565C2×C4×D59—22no—
566C2×C4×D59—22no—
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—22no—
587C2×C4×D59—416no—
588C2×C4×D59—416no—
589C2×C4×D59—416no—
590C2×C4×D59—41no—
591C2×C4×D59—41no—
592C2×C4×D59—41no—
593C2×C4×D59—41no—
594C2×C4×D59—41no—
595C2×C4×D59—41no—
596C2×C4×D59—41no—
597C2×C4×D59C2×D414yes—
598C2×C4×D59C2×D414yescomplemented
599C2×C4×D59C2×D414yescomplemented
600C4⋊C4×C59—22no—
601C4⋊C4×C59—22no—
602C4⋊C4×C59—22no—
603C4⋊C4×C59—22no—
604C4⋊C4×C59—22no—
605C4⋊C4×C59—22no—
606C4⋊C4×C59—22no—
607C4⋊C4×C59—22no—
608C4⋊C4×C59—22no—
609C4⋊C4×C59—22no—
610C4⋊C4×C59—41no—
611C4⋊C4×C59C2×D414yescomplemented
612C22⋊C4×C59—22no—
613C22⋊C4×C59—22no—
614C22⋊C4×C59—22no—
615C22⋊C4×C59—22no—
616C22⋊C4×C59—22no—
617C22⋊C4×C59—22no—
618C22⋊C4×C59—41no—
619C22⋊C4×C59C2×D414yes—
620C42×C59—22no—
621C22⋊Dic59—22no—
622C22⋊Dic59—22no—
623C22⋊Dic59—22no—
624C22⋊Dic59—22no—
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—22no—
648(C2×D59)⋊C4—22no—
649(C2×D59)⋊C4—22no—
650(C2×D59)⋊C4—22no—
651(C2×D59)⋊C4—22no—
652(C2×D59)⋊C4—22no—
653(C2×D59)⋊C4—22no—
654(C2×D59)⋊C4—22no—
655(C2×D59)⋊C4—22no—
656(C2×D59)⋊C4—41no—
657(C2×D59)⋊C4—41no—
658(C2×D59)⋊C4—41no—
659(C2×D59)⋊C4—41no—
660(C2×D59)⋊C4—41no—
661(C2×D59)⋊C4—41no—
662(C2×D59)⋊C4C2×D414yes—
663(C2×D59)⋊C4C2×D414yescomplemented
664(C2×D59)⋊C4C2×D414yescomplemented
665C4⋊Dic59—22no—
666C4⋊Dic59—22no—
667C4⋊Dic59—22no—
668C4⋊Dic59—41no—
669Dic59⋊C4—22no—
670Dic59⋊C4—22no—
671Dic59⋊C4—22no—
672Dic59⋊C4—22no—
673Dic59⋊C4—22no—
674Dic59⋊C4—41no—
675Dic59⋊C4—41no—
676Dic59⋊C4C2×D414yescomplemented
677C4×Dic59—22no—
678C4×Dic59—22no—
679C4×Dic59—22no—
680C4×Dic59—22no—
681C4×Dic59—22no—
682C4×Dic59—22no—
683C4×Dic59—22no—
684C4×Dic59—22no—
685C4×Dic59C2×D414yescomplemented
686C4×Dic59C2×D414yescomplemented
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×C59C22×D412yes—
698C23×C59C2×#4112yes—
699C23×C59C2×#4112yes—
700C23×C59C2×#4112yes—
701C23×C59C2511yescharacteristic
702C22×D59—21no—
703C22×D59—21no—
704C22×D59—21no—
705C22×D59—21no—
706C22×D59—28no—
707C22×D59—28no—
708C22×D59—28no—
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—21no—
717C22×D59—21no—
718C22×D59—21no—
719C22×D59—21no—
720C22×D59—21no—
721C22×D59—21no—
722C22×D59—21no—
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—28no—
734C22×D59—21no—
735C22×D59—21no—
736C22×D59—21no—
737C22×D59—21no—
738C22×D59—21no—
739C22×D59—21no—
740C22×D59—21no—
741C22×D59—44no—
742C22×D59—44no—
743C22×D59—44no—
744C22×D59—44no—
745C22×D59—44no—
746C22×D59—44no—
747C22×D59—44no—
748C22×D59—44no—
749C22×D59—44no—
750C22×D59—44no—
751C22×D59—44no—
752C22×D59—44no—
753C22×D59—44no—
754C22×D59—44no—
755C22×D59—44no—
756C22×D59—44no—
757C22×D59—44no—
758C22×D59C22×D412yes—
759C22×D59C22×D412yes—
760C22×D59C22×D412yes—
761C22×D59C2×#4112yes—
762C22×D59C2×#4112yes—
763C22×D59C2×#4112yes—
764C22×D59C2×#4112yes—
765Q8×C59—44no—
766D4×C59—28no—
767C2×C4×C59—28no—
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—21no—
791C2×C4×C59—21no—
792C2×C4×C59—21no—
793C2×C4×C59—21no—
794C2×C4×C59—21no—
795C2×C4×C59—21no—
796C2×C4×C59—21no—
797C2×C4×C59—21no—
798C2×C4×C59—21no—
799C2×C4×C59—21no—
800C2×C4×C59—44no—
801C2×C4×C59—44no—
802C2×C4×C59—44no—
803C2×C4×C59C22×D412yes—
804C2×C4×C59C22×D412yes—
805C2×C4×C59C22×D412yes—
806C2×C4×C59C22×D412yes—
807C2×C4×C59C22×D412yes—
808C2×C4×C59C2×#4112yes—
809C2×C4×C59C2×#4112yes—
810C22⋊D59—28no—
811C22⋊D59—28no—
812C22⋊D59—44no—
813C22⋊D59—44no—
814C22⋊D59—44no—
815C22⋊D59—44no—
816C2×Dic59—21no—
817C2×Dic59—21no—
818C2×Dic59—21no—
819C2×Dic59—21no—
820C2×Dic59—21no—
821C2×Dic59—21no—
822C2×Dic59—28no—
823C2×Dic59—21no—
824C2×Dic59—21no—
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—21no—
838C2×Dic59—21no—
839C2×Dic59—21no—
840C2×Dic59—21no—
841C2×Dic59—44no—
842C2×Dic59—44no—
843C2×Dic59C22×D412yes—
844C2×Dic59C22×D412yes—
845C2×Dic59C22×D412yes—
846C2×Dic59C22×D412yes—
847C2×Dic59C22×D412yes—
848C2×Dic59H(5,𝔽2)12yes—
849D236—28no—
850D236—28no—
851D236—28no—
852D236—28no—
853D236—28no—
854D236—44no—
855D236—44no—
856D236—44no—
857D236—44no—
858D236—44no—
859D236—44no—
860D236—44no—
861C4×D59—28no—
862C4×D59—28no—
863C4×D59—28no—
864C4×D59—28no—
865C4×D59—44no—
866C4×D59—44no—
867C4×D59—44no—
868C4×D59—44no—
869C4×D59—44no—
870C4×D59—44no—
871C4×D59—44no—
872C4×D59—44no—
873C4×D59—44no—
874C4×D59—44no—
875#34655—591nomaximal, Sylow
876C22×C59—22no—
877C22×C59—22no—
878C22×C59—22no—
879C22×C59—22no—
880C22×C59—22no—
881C22×C59—22no—
882C22×C59—22no—
883C22×C59—22no—
884C22×C59—22no—
885C22×C59—41no—
886C22×C59—41no—
887C22×C59—41no—
888C22×C59—41no—
889C22×C59#52514yescomplemented
890C22×C59C23×D411yescharacteristic
891C22×C59C23×D411yescharacteristic
892C22×C59C22×#4111yescharacteristic
893C22×C59C22×#4111yescharacteristic
894C22×C59C22×#4111yescharacteristic
895C22×C59C2×H(5,𝔽2)11yescharacteristic
896C22×C59#58511yescharacteristic
897C2×D59—22no—
898C2×D59—22no—
899C2×D59—22no—
900C2×D59—22no—
901C2×D59—22no—
902C2×D59—22no—
903C2×D59—22no—
904C2×D59—22no—
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—22no—
915C2×D59—416no—
916C2×D59—416no—
917C2×D59—416no—
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—
934C2×D59—41no—
935C2×D59—41no—
936C2×D59—41no—
937C2×D59—41no—
938C2×D59—41no—
939C2×D59—41no—
940C2×D59—41no—
941C2×D59#52514yescomplemented
942C4×C59—22no—
943C4×C59—22no—
944C4×C59—22no—
945C4×C59—22no—
946C4×C59—22no—
947C4×C59—22no—
948C4×C59—22no—
949C4×C59—41no—
950C4×C59—41no—
951C4×C59—41no—
952C4×C59—41no—
953C4×C59—41no—
954C4×C59—41no—
955Dic59—22no—
956Dic59—22no—
957Dic59—22no—
958Dic59—41no—
959Dic59—41no—
960Dic59—41no—
961Dic59—41no—
962Dic59—41no—
963Dic59—41no—
964Dic59D4214yes—
965C2×#525—591no—
966C2×#525—591no—
967C22×C4×D4—591no—
968C22×C4×D4—591no—
969#2463—591no—
970#2456—591no—
971#2456—591no—
972#2455—591no—
973#2449—591no—
974#2449D5911yescharacteristic, complemented
975#2443—591no—
976#2443—591no—
977#2437—591no—
978#2424—591no—
979#2424—591no—
980#2418—591no—
981#2418—591no—
982#2410—591no—
983#2410—591no—
984#2403—591no—
985#2397—591no—
986#2392—591no—
987#2392—591no—
988#2388—591no—
989C4×#121—591no—
990C4×#121—591no—
991C4×#120—591no—
992C4×#120—591no—
993C4×#120—591no—
994#2290—591no—
995#2290—591no—
996C2×C59—24no—
997C2×C59—42no—
998C2×C59C2×#52511yescharacteristic
999C2×C59C2×#52511yescharacteristic
1000C2×C59#345911yescharacteristic
1001C2×C59C2×D4211yescharacteristic
1002C2×C59D4×#4111yescharacteristic
1003C2×C59D4×#4111yescharacteristic
1004C2×C59#348111yescharacteristic
1005D59—24no—
1006D59—42no—
1007D59—42no—
1008D59—42no—
1009D59—42no—
1010D59—81no—
1011C22×#41—591no—
1012C23×D4—591no—
1013C23×D4—591no—
1014C24×C4—591no—
1015C24×C4—591no—
1016C24×C4—591no—
1017#525—1188no—
1018#525—1188no—
1019C2×#123—591no—
1020C2×#123—591no—
1021C2×#123—591no—
1022C2×#123—591no—
1023C2×C22⋊Q8—591no—
1024C2×C22⋊Q8—591no—
1025C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1026C2×C22⋊Q8C2×D5911yescharacteristic, complemented
1027C2×#121—591no—
1028C2×#121—591no—
1029C2×#121—591no—
1030C2×#121—591no—
1031C2×#121—591no—
1032C2×#121—591no—
1033C2×#120—591no—
1034C2×#120—591no—
1035C2×#120—591no—
1036C2×#120—591no—
1037C2×#120—591no—
1038C2×#120—591no—
1039C2×#120—591no—
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—591no—
1063C2×C4×D4—1188no—
1064C2×C4×D4—1188no—
1065C2×C4×D4C2×D5911yescharacteristic
1066C2×#117—591no—
1067C2×#117—591no—
1068C22×C4⋊C4—591no—
1069C22×C4⋊C4C2×D5911yescharacteristic, complemented
1070C22×C22⋊C4—591no—
1071C22×C22⋊C4—591no—
1072C22×C22⋊C4—591no—
1073C22×C22⋊C4—591no—
1074C22×C42—591no—
1075C22×C42—591no—
1076#399—591no—
1077#399—591no—
1078#399—591no—
1079#399C2×D5911yescharacteristic, complemented
1080#398—591no—
1081#398C2×D5911yescharacteristic, complemented
1082#397—591no—
1083#397—591no—
1084#396—591no—
1085#396—591no—
1086#396—591no—
1087#396C2×D5911yescharacteristic, complemented
1088#395C2×D5911yescharacteristic, complemented
1089#394—591no—
1090#394—591no—
1091#394—591no—
1092#394—591no—
1093#394—591no—
1094#394—591no—
1095#394—591no—
1096#394—591no—
1097#394—591no—
1098#393—591no—
1099#392—591no—
1100#392—591no—
1101#392—591no—
1102#392—591no—
1103#392—591no—
1104#392—591no—
1105#392—591no—
1106#392—591no—
1107#392—591no—
1108#390—591no—
1109#390—591no—
1110#389—591no—
1111#389C2×D5911yescharacteristic, complemented
1112#388—591no—
1113#388—591no—
1114#388—591no—
1115#388—591no—
1116#388—591no—
1117#388—591no—
1118#388—591no—
1119#388—591no—
1120#387—591no—
1121#387—591no—
1122#387—591no—
1123#387C2×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#386—591no—
1133#386—591no—
1134#386—591no—
1135#386—591no—
1136#386—591no—
1137#386—591no—
1138#386—591no—
1139#386C2×D5911yescharacteristic
1140#386C2×D5911yescharacteristic
1141#385—591no—
1142#385—591no—
1143#385—591no—
1144#385—591no—
1145#385—591no—
1146#385—591no—
1147#385—591no—
1148#385—591no—
1149#385—591no—
1150#385—591no—
1151#385C2×D5911yescharacteristic, complemented
1152#385C2×D5911yescharacteristic, complemented
1153#385C2×D5911yescharacteristic, complemented
1154#380—591no—
1155#380—591no—
1156#379—591no—
1157#379—591no—
1158#379—591no—
1159C4×C4⋊C4—591no—
1160C4×C4⋊C4—591no—
1161C4×C22⋊C4—591no—
1162C4×C22⋊C4—591no—
1163C4×C22⋊C4—591no—
1164C4×C22⋊C4—591no—
1165C4×C22⋊C4—591no—
1166C4×C22⋊C4—591no—
1167C4×C22⋊C4—591no—
1168C4×C22⋊C4—591no—
1169#376—591no—
1170C59#3465511yescharacteristic, complemented, Sylow
1171C25—591no—
1172C25—591no—
1173C25—591no—
1174C2×#41—1184no—
1175C2×#41—1184no—
1176C2×#41—2362no—
1177C22×Q8C22×D5911yescharacteristic
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—591no—
1193C22×D4—591no—
1194C22×D4—591no—
1195C22×D4—591no—
1196C22×D4—1184no—
1197C22×D4—1184no—
1198C22×D4—1184no—
1199C22×D4—1184no—
1200C22×D4—1184no—
1201C22×D4—1184no—
1202C22×D4C22×D5911yescharacteristic
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—591no—
1215C23×C4—591no—
1216C23×C4—591no—
1217C23×C4—591no—
1218C23×C4—591no—
1219C23×C4—591no—
1220C23×C4—1184no—
1221C23×C4—1184no—
1222C23×C4—1184no—
1223C23×C4—1184no—
1224C23×C4—1184no—
1225C23×C4—1184no—
1226C23×C4—2362no—
1227C23×C4—2362no—
1228C23×C4—2362no—
1229C23×C4C22×D5911yescharacteristic
1230C23×C4C22×D5911yescharacteristic
1231C23×C4C22×D5911yescharacteristic
1232C23×C4C22×D5911yescharacteristic
1233#123—1184no—
1234#123—1184no—
1235#123—1184no—
1236#123—1184no—
1237C22⋊Q8—24no—
1238C22⋊Q8—24no—
1239C22⋊Q8—1184no—
1240C22⋊Q8—1184no—
1241#121—1184no—
1242#121—1184no—
1243#121—1184no—
1244#121—1184no—
1245#121—1184no—
1246#121—1184no—
1247#120—1184no—
1248#120—1184no—
1249#120—1184no—
1250#120—1184no—
1251#120—1184no—
1252#120—1184no—
1253#120—1184no—
1254C4×D4—24no—
1255C4×D4—598no—
1256C4×D4—598no—
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—1184no—
1272C4×D4—1184no—
1273C4×D4—1184no—
1274C4×D4—1184no—
1275C4×D4—1184no—
1276C4×D4—2362no—
1277C4×D4—2362no—
1278#117—1184no—
1279#117—1184no—
1280C2×C4⋊C4—24no—
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—1184no—
1294C2×C4⋊C4C22×D5911yescharacteristic
1295C2×C4⋊C4C22×D5911yescharacteristic
1296C2×C4⋊C4C22×D5911yescharacteristic
1297C2×C4⋊C4C22×D5911yescharacteristic
1298C2×C4⋊C4C22×D5911yescharacteristic
1299C2×C4⋊C4C22×D5911yescharacteristic
1300C2×C4⋊C4C22×D5911yescharacteristic
1301C2×C4⋊C4C22×D5911yescharacteristic
1302C2×C4⋊C4C22×D5911yescharacteristic
1303C2×C4⋊C4C22×D5911yescharacteristic
1304C2×C4⋊C4C22×D5911yescharacteristic
1305C2×C4⋊C4C22×D5911yescharacteristic
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⋊C4C22×D5911yescharacteristic
1355C2×C22⋊C4C22×D5911yescharacteristic
1356C2×C22⋊C4C22×D5911yescharacteristic
1357C2×C22⋊C4C22×D5911yescharacteristic
1358C2×C22⋊C4C22×D5911yescharacteristic
1359C2×C22⋊C4C22×D5911yescharacteristic
1360C2×C22⋊C4C22×D5911yescharacteristic
1361C2×C22⋊C4C22×D5911yescharacteristic
1362C2×C42—591no—
1363C2×C42—591no—
1364C2×C42—591no—
1365C2×C42—591no—
1366C2×C42—591no—
1367C2×C42—591no—
1368C2×C42—591no—
1369C2×C42—591no—
1370C2×C42—591no—
1371C2×C42—591no—
1372C2×C42—1184no—
1373C2×C42—1184no—
1374C2×C42C22×D5911yescharacteristic
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#95—591no—
1386#95—591no—
1387#95—591no—
1388#95—591no—
1389#95—591no—
1390#95—591no—
1391#95C22×D5911yescharacteristic
1392#95C22×D5911yescharacteristic
1393#95C22×D5911yescharacteristic
1394#95C22×D5911yescharacteristic
1395#95C22×D5911yescharacteristic
1396#95C22×D5911yescharacteristic
1397#95C22×D5911yescharacteristic
1398#95C22×D5911yescharacteristic
1399C24—591no—
1400C24—591no—
1401C24—591no—
1402C24—591no—
1403C24—591no—
1404C24—594no—
1405C24—591no—
1406C24—1182no—
1407C24—1182no—
1408C24—1182no—
1409C24—1182no—
1410C24—1182no—
1411C24—1182no—
1412C24—1182no—
1413C24—1182no—
1414C24—1182no—
1415C24—1182no—
1416C24—1182no—
1417C24—1182no—
1418C24—1182no—
1419C24—1182no—
1420C24—2361no—
1421C24—2361no—
1422C24—2361no—
1423C24—2361no—
1424C24—2361no—
1425C24—2361no—
1426C24C23×D5911yescharacteristic
1427C24C23×D5911yescharacteristic
1428#41—23616no—
1429C2×Q8—22no—
1430C2×Q8—22no—
1431C2×Q8—41no—
1432C2×D4—22no—
1433C2×D4—22no—
1434C2×D4—594no—
1435C2×D4—594no—
1436C2×D4—594no—
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—11832no—
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—1182no—
1457C2×D4—1182no—
1458C2×D4—1182no—
1459C2×D4—1182no—
1460C2×D4—1182no—
1461C2×D4—11832no—
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—1182no—
1477C2×D4—1182no—
1478C2×D4—1182no—
1479C2×D4—1182no—
1480C2×D4—2361no—
1481C2×D4—2361no—
1482C2×D4—2361no—
1483C2×D4—2361no—
1484C2×D4—2361no—
1485C2×D4—2361no—
1486C2×D4—2361no—
1487C2×D4—2361no—
1488C2×D4—2361no—
1489C2×D4—2361no—
1490C2×D4#1174568914yescomplemented
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—22no—
1497C22×C4—22no—
1498C22×C4—22no—
1499C22×C4—22no—
1500C22×C4—41no—
1501C22×C4—41no—
1502C22×C4—41no—
1503C22×C4—591no—
1504C22×C4—594no—
1505C22×C4—591no—
1506C22×C4—591no—
1507C22×C4—591no—
1508C22×C4—594no—
1509C22×C4—594no—
1510C22×C4—594no—
1511C22×C4—591no—
1512C22×C4—591no—
1513C22×C4—591no—
1514C22×C4—591no—
1515C22×C4—591no—
1516C22×C4—591no—
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—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—23616no—
1564C22×C4—23616no—
1565C22×C4—23616no—
1566C22×C4—2361no—
1567C22×C4C23×D5911yescharacteristic
1568C22×C4C23×D5911yescharacteristic
1569C22×C4C23×D5911yescharacteristic
1570C22×C4C23×D5911yescharacteristic
1571C22×C4C23×D5911yescharacteristic
1572C22×C4C23×D5911yescharacteristic
1573C22×C4C23×D5911yescharacteristic
1574C22×C4C23×D5911yescharacteristic
1575C22×C4C23×D5911yescharacteristic
1576C22×C4C23×D5911yescharacteristic
1577C22×C4C23×D5911yescharacteristic
1578C22×C4C23×D5911yescharacteristic
1579C22×C4C23×D5911yescharacteristic
1580C4⋊C4—22no—
1581C4⋊C4—22no—
1582C4⋊C4—22no—
1583C4⋊C4—22no—
1584C4⋊C4—22no—
1585C4⋊C4—22no—
1586C4⋊C4—22no—
1587C4⋊C4—22no—
1588C4⋊C4—22no—
1589C4⋊C4—22no—
1590C4⋊C4—41no—
1591C4⋊C4—594no—
1592C4⋊C4—1182no—
1593C4⋊C4—1182no—
1594C4⋊C4—1182no—
1595C4⋊C4—1182no—
1596C4⋊C4—1182no—
1597C4⋊C4—1182no—
1598C4⋊C4—1182no—
1599C4⋊C4—1182no—
1600C4⋊C4—2361no—
1601C4⋊C4—2361no—
1602C4⋊C4—2361no—
1603C4⋊C4D4×D5914yescomplemented
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—22no—
1607C22⋊C4—22no—
1608C22⋊C4—22no—
1609C22⋊C4—22no—
1610C22⋊C4—41no—
1611C22⋊C4—594no—
1612C22⋊C4—594no—
1613C22⋊C4—594no—
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—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—2361no—
1650C22⋊C4—2361no—
1651C22⋊C4—2361no—
1652C22⋊C4—2361no—
1653C22⋊C4—2361no—
1654C22⋊C4—2361no—
1655C22⋊C4D4×D5914yes—
1656C42—22no—
1657C42—594no—
1658C42—594no—
1659C42—1182no—
1660C42—1182no—
1661C42—1182no—
1662C42—1182no—
1663C42—1182no—
1664C42—1182no—
1665C42—1182no—
1666C42—1182no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—592no—
1678C23—592no—
1679C23—592no—
1680C23—592no—
1681C23—592no—
1682C23—592no—
1683C23—592no—
1684C23—1188no—
1685C23—1188no—
1686C23—1188no—
1687C23—1181no—
1688C23—1181no—
1689C23—1181no—
1690C23—1181no—
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—1181no—
1718C23—1181no—
1719C23—1181no—
1720C23—1181no—
1721C23—1181no—
1722C23—1181no—
1723C23—2364no—
1724C23—2364no—
1725C23—2364no—
1726C23—2364no—
1727C23—2364no—
1728C23—2364no—
1729C23—2364no—
1730C23—2364no—
1731C23—2364no—
1732C23—2364no—
1733C23—2364no—
1734C23—2364no—
1735C23—2364no—
1736C23—2364no—
1737C23—2364no—
1738C23—2364no—
1739C23—2364no—
1740C23C2×D4×D5912yes—
1741C23#41×D5912yes—
1742C23C2×#1174568912yes—
1743C23C2×#1174568912yes—
1744C23C24×D5911yescharacteristic
1745Q8—44no—
1746D4—28no—
1747D4—1188no—
1748D4—1188no—
1749D4—1188no—
1750D4—1188no—
1751D4—1188no—
1752D4—1188no—
1753D4—1188no—
1754D4—2364no—
1755D4—2364no—
1756D4—2364no—
1757D4—2364no—
1758D4—2364no—
1759D4—2364no—
1760D4—2364no—
1761D4—2364no—
1762D4—2364no—
1763D4—2364no—
1764D4—2364no—
1765C2×C4—28no—
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—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—44no—
1799C2×C4—44no—
1800C2×C4—44no—
1801C2×C4—592no—
1802C2×C4—592no—
1803C2×C4—592no—
1804C2×C4—592no—
1805C2×C4—592no—
1806C2×C4—592no—
1807C2×C4—1188no—
1808C2×C4—1188no—
1809C2×C4—1188no—
1810C2×C4—1188no—
1811C2×C4—1188no—
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—1181no—
1826C2×C4—1181no—
1827C2×C4—1181no—
1828C2×C4—1181no—
1829C2×C4—1181no—
1830C2×C4—1181no—
1831C2×C4—1181no—
1832C2×C4—1181no—
1833C2×C4—1181no—
1834C2×C4—1181no—
1835C2×C4—1181no—
1836C2×C4—2364no—
1837C2×C4—2364no—
1838C2×C4—2364no—
1839C2×C4—2364no—
1840C2×C4—2364no—
1841C2×C4—2364no—
1842C2×C4—2364no—
1843C2×C4—2364no—
1844C2×C4—2364no—
1845C2×C4—2364no—
1846C2×C4—2364no—
1847C2×C4—2364no—
1848C2×C4C2×D4×D5912yes—
1849C2×C4C2×D4×D5912yes—
1850C2×C4C2×D4×D5912yes—
1851C2×C4C2×D4×D5912yes—
1852C2×C4C2×D4×D5912yes—
1853C2×C4#41×D5912yes—
1854C2×C4C2×#1174568912yes—
1855C22—22no—
1856C22—22no—
1857C22—22no—
1858C22—22no—
1859C22—22no—
1860C22—22no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—594no—
1869C22—1182no—
1870C22—1182no—
1871C22—1182no—
1872C22—1182no—
1873C22—1182no—
1874C22—1182no—
1875C22—1182no—
1876C22—1182no—
1877C22—1182no—
1878C22—1182no—
1879C22—1182no—
1880C22—1182no—
1881C22—1182no—
1882C22—1182no—
1883C22—1182no—
1884C22—1182no—
1885C22—1182no—
1886C22—1182no—
1887C22—23616no—
1888C22—23616no—
1889C22—23616no—
1890C22—2361no—
1891C22—2361no—
1892C22—2361no—
1893C22—2361no—
1894C22—2361no—
1895C22—2361no—
1896C22—2361no—
1897C22—2361no—
1898C22—2361no—
1899C22—2361no—
1900C22—2361no—
1901C22—2361no—
1902C22—2361no—
1903C22—2361no—
1904C22—2361no—
1905C22—2361no—
1906C22—2361no—
1907C22—2361no—
1908C22—2361no—
1909C22—2361no—
1910C22—2361no—
1911C22—2361no—
1912C22—2361no—
1913C22#1683791514yescomplemented
1914C22C22×D4×D5911yescharacteristic
1915C22C22×D4×D5911yescharacteristic
1916C22C2×#41×D5911yescharacteristic
1917C22C2×#41×D5911yescharacteristic
1918C22C22×#1174568911yescharacteristic
1919C22H(5,𝔽2)×D5911yescharacteristic
1920C22#1683823911yescharacteristic
1921C4—22no—
1922C4—22no—
1923C4—22no—
1924C4—22no—
1925C4—22no—
1926C4—22no—
1927C4—22no—
1928C4—41no—
1929C4—41no—
1930C4—41no—
1931C4—41no—
1932C4—41no—
1933C4—41no—
1934C4—594no—
1935C4—1182no—
1936C4—1182no—
1937C4—1182no—
1938C4—2361no—
1939C4—2361no—
1940C4—2361no—
1941C4—2361no—
1942C4—2361no—
1943C4—2361no—
1944C2—24no—
1945C2—42no—
1946C2—1184no—
1947C2—4721no—
1948C2—2362no—
1949C2—2362no—
1950C2—2362no—
1951C2—2362no—
1952C2#525×D5911yescharacteristic
1953C2C2×#1683791511yescharacteristic
1954C2#2143750411yescharacteristic
1955C2D42×D5911yescharacteristic
1956C2#2143758311yescharacteristic
1957C2D4×#1174568911yescharacteristic
1958C2#2143770711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2449C2
hypercenter#2449D59
hypocenterC59#34655
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#16837915C2semidirect
2. C2×#16837915C2semidirect
3. C22×#14273689C2semidirect
4. C2×C4×D4×D59C2semidirect
5. #21428089C2semidirect
6. #21427995C2semidirect
7. #21427986C2semidirect
8. #21427980C2semidirect
9. #21427898C2semidirect
10. #21427832C2semidirect
11. #21427831C2semidirect
12. #21427759C2semidirect
13. #21427627C2semidirect
14. #21427626C2semidirect
15. #21427561C2semidirect
16. #21427560C2semidirect
17. #21427469C2semidirect
18. #21427468C2semidirect
19. #21427408C2semidirect
20. #21427376C2semidirect
21. #21427341C2semidirect
22. #21427337C2semidirect
23. #21427314C2semidirect
24. #21426606C2semidirect
25. #21426604C2semidirect
26. #21426601C2semidirect
27. #21426597C2semidirect
28. #21426597C2semidirect
29. #21426534C2semidirect
30. #21426532C2semidirect
31. C59×#2449C2semidirect
32. C22×#11745689C22semidirect
36. C23×C4×D59C22semidirect
37. C23×C4×D59C22semidirect
40. C2×#14273712C22semidirect
41. C2×#14273712C22semidirect
42. C2×#14273712C22semidirect
43. C2×#14273712C22semidirect
44. C2×#14273703C22semidirect
45. C2×#14273703C22semidirect
48. C2×#14273702C22semidirect
50. C2×#14273701C22semidirect
56. C2×#14273697C22semidirect
57. C2×#14273697C22semidirect
59. C2×C4×D236C22semidirect
66. C2×#14273689C22semidirect
67. C2×#14273689C22semidirect
68. C2×#14273689C22semidirect
69. C2×#14273689C22semidirect
70. C2×#14273689C22semidirect
71. C2×#14273689C22semidirect
72. C2×#14273689C22semidirect
73. C2×#14273689C22semidirect
74. C2×#14273689C22semidirect
76. C2×C4×C22⋊D59C22semidirect
78. C2×(C22⋊D59)⋊C4C22semidirect
79. C2×(C22⋊D59)⋊C4C22semidirect
80. C2×(C22⋊D59)⋊C4C22semidirect
81. C2×(C22⋊D59)⋊C4C22semidirect
82. C2×(C22⋊D59)⋊C4C22semidirect
84. C2×#14273685C22semidirect
85. C2×#14273685C22semidirect
86. C2×C4⋊C4×D59C22semidirect
88. C22×(C2×D59)⋊C4C22semidirect
90. C2×C22⋊C4×D59C22semidirect
91. C22×C4×Dic59C22semidirect
92. C2×C42×D59C22semidirect
93. #16837337C22semidirect
94. #16837337C22semidirect
95. #16837337C22semidirect
96. #16837335C22semidirect
97. #16837331C22semidirect
98. #16837328C22semidirect
99. #16837324C22semidirect
100. #16837324C22semidirect
101. #16837324C22semidirect
102. #16837320C22semidirect
103. #16837320C22semidirect
104. #16837319C22semidirect
105. #16837319C22semidirect
106. #16837319C22semidirect
107. #16837319C22semidirect
108. #16837319C22semidirect
109. #16837318C22semidirect
110. #16837318C22semidirect
111. #16837313C22semidirect
114. #16837312C22semidirect
115. #16837312C22semidirect
116. #16837312C22semidirect
119. #16837311C22semidirect
120. #16837311C22semidirect
121. #16837304C22semidirect
122. #16837302C22semidirect
123. #16837299C22semidirect
124. #16837294C22semidirect
125. #16837294C22semidirect
126. #16837293C22semidirect
127. #16837292C22semidirect
128. #16837292C22semidirect
129. #16837292C22semidirect
130. #16837291C22semidirect
131. #16837290C22semidirect
132. #16837289C22semidirect
133. #16837288C22semidirect
134. #16837283C22semidirect
136. #16837281C22semidirect
137. #16837281C22semidirect
138. #16837281C22semidirect
143. #16837280C22semidirect
144. #16837280C22semidirect
145. #16837280C22semidirect
146. #16837280C22semidirect
148. #16837278C22semidirect
149. #16837278C22semidirect
150. #16837277C22semidirect
151. #16837276C22semidirect
152. #16837276C22semidirect
153. #16837276C22semidirect
154. #16837275C22semidirect
155. #16837273C22semidirect
156. #16837273C22semidirect
157. #16837273C22semidirect
158. #16837273C22semidirect
159. #16837273C22semidirect
160. #16837260C22semidirect
161. #16837259C22semidirect
163. #16837257C22semidirect
164. #16837257C22semidirect
165. C4⋊C4×Dic59C22semidirect
166. #16837253C22semidirect
167. C22⋊C4×Dic59C22semidirect
168. C22⋊C4×Dic59C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. #16837249C22semidirect
173. #16837249C22semidirect
174. #16837249C22semidirect
175. #16837247C22semidirect
176. C2×C22⋊Q8×C59C22semidirect
177. C2×C22⋊Q8×C59C22semidirect
179. C22×C4⋊C4×C59C22semidirect
180. C59×#399C22semidirect
181. C59×#398C22semidirect
182. C59×#396C22semidirect
183. C59×#395C22semidirect
184. C59×#389C22semidirect
185. C59×#387C22semidirect
188. C59×#385C22semidirect
189. C59×#385C22semidirect
190. C59×#385C22semidirect
280. #14273689D4semidirect
288. (C22⋊D59)⋊C4D4semidirect
441. C23×D59#41semidirect
453. C2×D4×C59#41semidirect
554. C2×D236#41semidirect
598. C2×C4×D59C2×D4semidirect
599. C2×C4×D59C2×D4semidirect
611. C4⋊C4×C59C2×D4semidirect
663. (C2×D59)⋊C4C2×D4semidirect
664. (C2×D59)⋊C4C2×D4semidirect
676. Dic59⋊C4C2×D4semidirect
685. C4×Dic59C2×D4semidirect
686. C4×Dic59C2×D4semidirect
889. C22×C59#525semidirect
941. C2×D59#525semidirect
974. #2449D59semidirect
1025. C2×C22⋊Q8C2×D59semidirect
1026. C2×C22⋊Q8C2×D59semidirect
1069. C22×C4⋊C4C2×D59semidirect
1079. #399C2×D59semidirect
1081. #398C2×D59semidirect
1087. #396C2×D59semidirect
1088. #395C2×D59semidirect
1111. #389C2×D59semidirect
1123. #387C2×D59semidirect
1151. #385C2×D59semidirect
1152. #385C2×D59semidirect
1153. #385C2×D59semidirect
1170. C59#34655semidirect
1490. C2×D4#11745689semidirect
1603. C4⋊C4D4×D59semidirect
1913. C22#16837915semidirect

Maximal subgroups

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

subgroupindex
C2×#168379152
C22×#142736892
C2×C4×D4×D592
#214280892
#214279952
#214279862
#214279802
#214278982
#214278322
#214278312
#214277592
#214276272
#214276262
#214275612
#214275602
#214274692
#214274682
#214274082
#214273762
#214273412
#214273372
#214273142
#214266062
#214266042
#214266012
#214265972
#214265342
#214265322
C59×#24492
#3465559