Finite Group Databasebeta

← #28761356

Subgroups — #28761356

Order 15104.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837986C211yesmaximal, characteristic, complemented
2C22×C4×D236C211yesmaximal, characteristic, complemented
3#21432411C211yesmaximal, characteristic, complemented
4#21432387C211yesmaximal, characteristic, complemented
5#21432377C211yesmaximal, characteristic, complemented
6#21429995C211yesmaximal, characteristic, complemented
7#21429987C211yesmaximal, characteristic, complemented
8#21429949C211yesmaximal, characteristic, complemented
9#21429943C211yesmaximal, characteristic, complemented
10#21428356C211yesmaximal, characteristic, complemented
11#21428229C211yesmaximal, characteristic, complemented
12#21428146C211yesmaximal, characteristic, complemented
13#21428040C211yesmaximal, characteristic, complemented
14#21427994C211yesmaximal, characteristic, complemented
15#21427985C211yesmaximal, characteristic, complemented
16#21427917C211yesmaximal, characteristic, complemented
17#21427853C211yesmaximal, characteristic, complemented
18#21427829C211yesmaximal, characteristic, complemented
19#21427759C211yesmaximal, characteristic, complemented
20#21427639C211yesmaximal, characteristic, complemented
21#21427638C211yesmaximal, characteristic, complemented
22#21427563C211yesmaximal, characteristic, complemented
23#21427473C211yesmaximal, characteristic, complemented
24#21427467C211yesmaximal, characteristic, complemented
25#21427408C211yesmaximal, characteristic, complemented
26#21426800C211yesmaximal, characteristic, complemented
27#21426758C211yesmaximal, characteristic, complemented
28#21426732C211yesmaximal, characteristic, complemented
29#21426601C211yesmaximal, characteristic, complemented
30#386×D59C211yesmaximal, characteristic, complemented
31C59×#2850C211yesmaximal, characteristic, complemented
32C23×D236C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic, complemented
36#16837986—28no—
37C2×#14273721C2211yescharacteristic, complemented
38C2×#14273720C2211yescharacteristic, complemented
39C2×#14273716C2211yescharacteristic, complemented
40C2×#14273711C2211yescharacteristic, complemented
41C2×#14273709C2211yescharacteristic, complemented
42C2×#14273709C2211yescharacteristic, complemented
43C2×#14273703C2211yescharacteristic, complemented
44C2×#14273700C2211yescharacteristic
45C2×#14273700C2211yescharacteristic
46C2×#14273700C2211yescharacteristic, complemented
47C2×#14273700C2211yescharacteristic, complemented
48C2×#14273699C2211yescharacteristic
49C2×#14273699C2211yescharacteristic, complemented
50C2×#14273697C2211yescharacteristic
51C2×#14273697C2211yescharacteristic
52C2×#14273697C2211yescharacteristic
53C2×#14273695C2211yescharacteristic
54C2×#14273695C2211yescharacteristic
55C2×#14273695C2211yescharacteristic, complemented
56C2×#14273695C2211yescharacteristic, complemented
57C2×C4×D236—28no—
58C2×C4×D236C2211yescharacteristic
59C2×C4×D236C2211yescharacteristic
60C2×C4×D236C2211yescharacteristic
61C2×C4×D236C2211yescharacteristic
62C2×C4×D236C2211yescharacteristic, complemented
63C2×C4×D236C2211yescharacteristic, complemented
64C2×C4×D236C2211yescharacteristic, complemented
65C2×C4×D236C2211yescharacteristic, complemented
66C2×D4×Dic59C2211yescharacteristic, complemented
67C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
68C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
69C22×C4⋊Dic59C2211yescharacteristic, complemented
70C22×(C2×D59)⋊C4C2211yescharacteristic
71C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
72C2×C22⋊C4×D59C2211yescharacteristic
73C2×C22⋊C4×D59C2211yescharacteristic, complemented
74C2×C22⋊C4×D59C2211yescharacteristic, complemented
75#16837344C2211yescharacteristic, complemented
76#16837342C2211yescharacteristic, complemented
77#16837339C2211yescharacteristic, complemented
78#16837337C2211yescharacteristic, complemented
79#16837334C2211yescharacteristic, complemented
80#16837328C2211yescharacteristic, complemented
81#16837327C2211yescharacteristic, complemented
82#16837327C2211yescharacteristic, complemented
83#16837325C2211yescharacteristic, complemented
84#16837324C2211yescharacteristic, complemented
85#16837324C2211yescharacteristic, complemented
86#16837324C2211yescharacteristic, complemented
87#16837320C2211yescharacteristic, complemented
88#16837320C2211yescharacteristic, complemented
89#16837319C2211yescharacteristic, complemented
90#16837319C2211yescharacteristic, complemented
91#16837319C2211yescharacteristic, complemented
92#16837318C2211yescharacteristic, complemented
93#16837318C2211yescharacteristic, complemented
94#16837317C2211yescharacteristic, complemented
95#16837317C2211yescharacteristic, complemented
96#16837313C2211yescharacteristic, complemented
97#16837313C2211yescharacteristic, complemented
98#16837312C2211yescharacteristic
99#16837312C2211yescharacteristic
100#16837311C2211yescharacteristic
101#16837311C2211yescharacteristic
102#16837311C2211yescharacteristic, complemented
103#16837311C2211yescharacteristic, complemented
104#16837311C2211yescharacteristic, complemented
105#16837310C2211yescharacteristic, complemented
106#16837310C2211yescharacteristic, complemented
107#16837303C2211yescharacteristic, complemented
108#16837302C2211yescharacteristic, complemented
109#16837295C2211yescharacteristic, complemented
110#16837294C2211yescharacteristic, complemented
111#16837293C2211yescharacteristic, complemented
112#16837293C2211yescharacteristic, complemented
113#16837293C2211yescharacteristic, complemented
114#16837292C2211yescharacteristic, complemented
115#16837292C2211yescharacteristic, complemented
116#16837292C2211yescharacteristic, complemented
117#16837289C2211yescharacteristic, complemented
118#16837287C2211yescharacteristic, complemented
119#16837287C2211yescharacteristic, complemented
120#16837286C2211yescharacteristic, complemented
121#16837286C2211yescharacteristic, complemented
122#16837286C2211yescharacteristic, complemented
123#16837282C2211yescharacteristic
124#16837282C2211yescharacteristic
125#16837281C2211yescharacteristic
126#16837281C2211yescharacteristic
127#16837281C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic, complemented
133#16837280C2211yescharacteristic, complemented
134#16837280C2211yescharacteristic, complemented
135#16837280C2211yescharacteristic, complemented
136#16837279C2211yescharacteristic
137#16837279C2211yescharacteristic, complemented
138#16837278C2211yescharacteristic, complemented
139#16837278C2211yescharacteristic, complemented
140#16837278C2211yescharacteristic, complemented
141#16837278C2211yescharacteristic, complemented
142#16837278C2211yescharacteristic, complemented
143#16837278C2211yescharacteristic, complemented
144#16837278C2211yescharacteristic, complemented
145#16837278C2211yescharacteristic, complemented
146#16837278C2211yescharacteristic, complemented
147#16837277C2211yescharacteristic, complemented
148#16837277C2211yescharacteristic, complemented
149#16837276C2211yescharacteristic, complemented
150#16837276C2211yescharacteristic, complemented
151#16837276C2211yescharacteristic, complemented
152#16837276C2211yescharacteristic, complemented
153#16837275C2211yescharacteristic, complemented
154#16837275C2211yescharacteristic, complemented
155#16837275C2211yescharacteristic, complemented
156#16837273C2211yescharacteristic, complemented
157#16837273C2211yescharacteristic, complemented
158#16837273C2211yescharacteristic, complemented
159#16837270C2211yescharacteristic, complemented
160#16837264C2211yescharacteristic, complemented
161#16837264C2211yescharacteristic, complemented
162#16837261C2211yescharacteristic, complemented
163#16837261C2211yescharacteristic, complemented
164#16837260C2211yescharacteristic, complemented
165#16837259C2211yescharacteristic, complemented
166#16837257C2211yescharacteristic
167#16837257C2211yescharacteristic, complemented
168#16837257C2211yescharacteristic, complemented
169C22⋊C4×Dic59C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C2×#124×C59C2211yescharacteristic, complemented
175C2×C22⋊Q8×C59C2211yescharacteristic, complemented
176C2×#121×C59C2211yescharacteristic
177C22×C42×C59C2211yescharacteristic, complemented
178C59×#391C2211yescharacteristic, complemented
179C59×#390C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic
186C59×#386C2211yescharacteristic, complemented
187C59×#386C2211yescharacteristic, complemented
188C59×#382C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C24×D59C2311yescharacteristic
192C22×D236—24no—
193C22×D236—24no—
194C22×D236—24no—
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C22×C22⋊D59C2311yescharacteristic
208C22×C22⋊D59C2311yescharacteristic
209C22×C22⋊D59C2311yescharacteristic
210C22×C22⋊D59C2311yescharacteristic
211C2×D4×D59—24no—
212C2×D4×D59—42no—
213C2×D4×D59—42no—
214C23×Dic59C2311yescharacteristic
215C23×Dic59C2311yescharacteristic
216C23×Dic59C2311yescharacteristic
217C22×C4×D59—24no—
218C22×C4×D59—24no—
219C22×C4×D59—42no—
220C22×C4×D59—42no—
221C22×C4×D59—42no—
222C22×C4×D59—42no—
223C22×C4×D59C2311yescharacteristic
224C22×C4×D59C2311yescharacteristic
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230C22×C4×D59C2311yescharacteristic
231C22×C4×D59C2311yescharacteristic
232C22×C4×D59C2311yescharacteristic
233C22×C4×D59C2311yescharacteristic
234#14273721—24no—
235#14273720—24no—
236#14273716—24no—
237#14273711—24no—
238#14273709—24no—
239#14273709—42no—
240#14273703—24no—
241#14273700—24no—
242#14273700—24no—
243#14273700—24no—
244#14273700—42no—
245#14273699—24no—
246#14273699—42no—
247#14273697—24no—
248#14273697—24no—
249#14273697—42no—
250#14273695—24no—
251#14273695—24no—
252#14273695—42no—
253#14273695—42no—
254C4×D236—24no—
255C4×D236—24no—
256C4×D236—24no—
257C4×D236—24no—
258C4×D236—24no—
259C4×D236—24no—
260C4×D236—24no—
261C4×D236D418yescomplemented
262D4×Dic59—42no—
263(C22⋊D59)⋊C4—24no—
264(C22⋊D59)⋊C4—42no—
265C2×C4⋊Dic59—24no—
266C2×C4⋊Dic59C2311yescharacteristic
267C2×C4⋊Dic59C2311yescharacteristic
268C2×C4⋊Dic59C2311yescharacteristic
269C2×C4⋊Dic59C2311yescharacteristic
270C2×C4⋊Dic59C2311yescharacteristic
271C2×C4⋊Dic59C2311yescharacteristic
272C2×C4⋊Dic59C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×Dic59⋊C4C2311yescharacteristic
280C2×Dic59⋊C4C2311yescharacteristic
281C2×Dic59⋊C4C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×(C2×D59)⋊C4—24no—
292C2×(C2×D59)⋊C4—24no—
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
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
328C22⋊C4×D59—24no—
329C22⋊C4×D59—42no—
330C22⋊C4×D59—42no—
331C2×C4×Dic59C2311yescharacteristic
332C2×C4×Dic59C2311yescharacteristic
333C2×C4×Dic59C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C59⋊#95C2311yescharacteristic
355C59⋊#95C2311yescharacteristic
356C59⋊#95C2311yescharacteristic
357C59⋊#95C2311yescharacteristic
358C22×Q8×C59C2311yescharacteristic
359C22×D4×C59C2311yescharacteristic
360C22×D4×C59C2311yescharacteristic
361C22×D4×C59C2311yescharacteristic
362C23×C4×C59C2311yescharacteristic
363C23×C4×C59C2311yescharacteristic
364C23×C4×C59C2311yescharacteristic
365#124×C59—24no—
366C22⋊Q8×C59—42no—
367#121×C59—42no—
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C4⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C42×C59—24no—
385C2×C42×C59C2311yescharacteristic
386C2×C42×C59C2311yescharacteristic
387C2×C42×C59C2311yescharacteristic
388C2×C42×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391#95×C59C2311yescharacteristic
392#95×C59C2311yescharacteristic
393#95×C59C2311yescharacteristic
394#95×C59C2311yescharacteristic
395#95×C59C2311yescharacteristic
396#95×C59C2311yescharacteristic
397C24×C59C2411yescharacteristic
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C23×D59—22no—
401C23×D59—22no—
402C23×D59—22no—
403C23×D59—22no—
404C23×D59—22no—
405C23×D59—22no—
406C23×D59—22no—
407C23×D59—22no—
408C23×D59—22no—
409C23×D59—22no—
410C23×D59—22no—
411C23×D59—22no—
412C23×D59—41no—
413C23×D59—41no—
414C23×D59—41no—
415C23×D59—41no—
416C23×D59—41no—
417C23×D59—41no—
418C23×D59—41no—
419C23×D59—41no—
420C23×D59#4114yes—
421C23×D59C2411yescharacteristic
422C23×D59C2411yescharacteristic
423C23×D59C2411yescharacteristic
424C23×D59C2411yescharacteristic
425C23×D59C2411yescharacteristic
426C2×Q8×C59—22no—
427C2×Q8×C59—41no—
428C2×Q8×C59—41no—
429C2×D4×C59—22no—
430C2×D4×C59—22no—
431C2×D4×C59—22no—
432C2×D4×C59—22no—
433C2×D4×C59—22no—
434C2×D4×C59—22no—
435C2×D4×C59—22no—
436C2×D4×C59—41no—
437C2×D4×C59—41no—
438C22×C4×C59—22no—
439C22×C4×C59—22no—
440C22×C4×C59—22no—
441C22×C4×C59—22no—
442C22×C4×C59—22no—
443C22×C4×C59—22no—
444C22×C4×C59—22no—
445C22×C4×C59—22no—
446C22×C4×C59—41no—
447C22×C4×C59C2411yescharacteristic
448C22×C4×C59C2411yescharacteristic
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C22×C4×C59C2411yescharacteristic
456C22×C4×C59C2411yescharacteristic
457C22×C4×C59C2411yescharacteristic
458C22×C4×C59C2411yescharacteristic
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—22no—
462C2×C22⋊D59—22no—
463C2×C22⋊D59—22no—
464C2×C22⋊D59—22no—
465C2×C22⋊D59—22no—
466C2×C22⋊D59—22no—
467C2×C22⋊D59—22no—
468C2×C22⋊D59—22no—
469C2×C22⋊D59—22no—
470C2×C22⋊D59—22no—
471C2×C22⋊D59—22no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C2×C22⋊D59—41no—
475C2×C22⋊D59—41no—
476C2×C22⋊D59—41no—
477C2×C22⋊D59—41no—
478C2×C22⋊D59—41no—
479C2×C22⋊D59—41no—
480C2×C22⋊D59—41no—
481C2×C22⋊D59—41no—
482C2×C22⋊D59—41no—
483C2×C22⋊D59—41no—
484C2×C22⋊D59—41no—
485C2×C22⋊D59—41no—
486C22×Dic59—22no—
487C22×Dic59—22no—
488C22×Dic59—22no—
489C22×Dic59—22no—
490C22×Dic59—22no—
491C22×Dic59—41no—
492C22×Dic59—41no—
493C22×Dic59—41no—
494C22×Dic59—41no—
495C22×Dic59C2411yescharacteristic
496C22×Dic59C2411yescharacteristic
497C22×Dic59C2411yescharacteristic
498C22×Dic59C2411yescharacteristic
499C22×Dic59C2411yescharacteristic
500C22×Dic59C2411yescharacteristic
501C22×Dic59C2411yescharacteristic
502C22×Dic59C2411yescharacteristic
503C22×Dic59C2411yescharacteristic
504C22×Dic59C2411yescharacteristic
505C22×Dic59C2411yescharacteristic
506D4×D59—416no—
507C2×D236—232no—
508C2×D236—22no—
509C2×D236—22no—
510C2×D236—22no—
511C2×D236—22no—
512C2×D236—22no—
513C2×D236—22no—
514C2×D236—22no—
515C2×D236—22no—
516C2×D236—22no—
517C2×D236—22no—
518C2×D236—22no—
519C2×D236—22no—
520C2×D236—22no—
521C2×D236—41no—
522C2×D236—41no—
523C2×D236—41no—
524C2×D236—41no—
525C2×D236—41no—
526C2×D236—41no—
527C2×D236C2×D414yes—
528C2×D236#4114yes—
529C2×C4×D59—22no—
530C2×C4×D59—22no—
531C2×C4×D59—22no—
532C2×C4×D59—22no—
533C2×C4×D59—22no—
534C2×C4×D59—22no—
535C2×C4×D59—22no—
536C2×C4×D59—22no—
537C2×C4×D59—22no—
538C2×C4×D59—22no—
539C2×C4×D59—22no—
540C2×C4×D59—22no—
541C2×C4×D59—22no—
542C2×C4×D59—41no—
543C2×C4×D59—41no—
544C2×C4×D59—41no—
545C2×C4×D59—41no—
546C2×C4×D59—41no—
547C2×C4×D59—41no—
548C2×C4×D59—41no—
549C2×C4×D59—41no—
550C2×C4×D59—41no—
551C2×C4×D59—41no—
552C2×C4×D59—41no—
553C2×C4×D59—41no—
554C2×C4×D59—41no—
555C2×C4×D59—41no—
556C2×C4×D59—416no—
557C2×C4×D59—416no—
558C2×C4×D59—41no—
559C2×C4×D59—41no—
560C2×C4×D59—41no—
561C2×C4×D59—41no—
562C2×C4×D59C2×D414yes—
563C2×C4×D59C2×D414yescomplemented
564C4⋊C4×C59—41no—
565C4⋊C4×C59—41no—
566C4⋊C4×C59—41no—
567C4⋊C4×C59—41no—
568C22⋊C4×C59—22no—
569C22⋊C4×C59—22no—
570C22⋊C4×C59—22no—
571C22⋊C4×C59—22no—
572C22⋊C4×C59—22no—
573C22⋊C4×C59—22no—
574C22⋊C4×C59—22no—
575C22⋊C4×C59—22no—
576C22⋊C4×C59—22no—
577C22⋊C4×C59—22no—
578C22⋊C4×C59—41no—
579C22⋊C4×C59—41no—
580C42×C59—22no—
581C42×C59—22no—
582C42×C59—22no—
583C42×C59C2×D414yescomplemented
584C22⋊Dic59—22no—
585C22⋊Dic59—22no—
586C22⋊Dic59—22no—
587C22⋊Dic59—22no—
588C22⋊Dic59—22no—
589C22⋊Dic59—41no—
590C22⋊Dic59—41no—
591C22⋊Dic59—41no—
592C22⋊Dic59—41no—
593(C2×D59)⋊C4—22no—
594(C2×D59)⋊C4—22no—
595(C2×D59)⋊C4—22no—
596(C2×D59)⋊C4—22no—
597(C2×D59)⋊C4—22no—
598(C2×D59)⋊C4—22no—
599(C2×D59)⋊C4—22no—
600(C2×D59)⋊C4—22no—
601(C2×D59)⋊C4—22no—
602(C2×D59)⋊C4—22no—
603(C2×D59)⋊C4—22no—
604(C2×D59)⋊C4—22no—
605(C2×D59)⋊C4—22no—
606(C2×D59)⋊C4—22no—
607(C2×D59)⋊C4—22no—
608(C2×D59)⋊C4—22no—
609(C2×D59)⋊C4—22no—
610(C2×D59)⋊C4—22no—
611(C2×D59)⋊C4—41no—
612(C2×D59)⋊C4—41no—
613(C2×D59)⋊C4—41no—
614(C2×D59)⋊C4—41no—
615(C2×D59)⋊C4—41no—
616(C2×D59)⋊C4—41no—
617(C2×D59)⋊C4—41no—
618(C2×D59)⋊C4—41no—
619(C2×D59)⋊C4—41no—
620(C2×D59)⋊C4—41no—
621(C2×D59)⋊C4—41no—
622(C2×D59)⋊C4—41no—
623(C2×D59)⋊C4—41no—
624(C2×D59)⋊C4—41no—
625(C2×D59)⋊C4—41no—
626(C2×D59)⋊C4C2×D414yes—
627(C2×D59)⋊C4C2×D414yescomplemented
628C4⋊Dic59—22no—
629C4⋊Dic59—22no—
630C4⋊Dic59—22no—
631C4⋊Dic59—22no—
632C4⋊Dic59—41no—
633C4⋊Dic59—41no—
634C4⋊Dic59C2×D414yescomplemented
635Dic59⋊C4—22no—
636Dic59⋊C4—22no—
637Dic59⋊C4—22no—
638Dic59⋊C4—22no—
639Dic59⋊C4—22no—
640Dic59⋊C4—22no—
641Dic59⋊C4—41no—
642Dic59⋊C4—41no—
643Dic59⋊C4—41no—
644C4×Dic59—22no—
645C4×Dic59—41no—
646C4×Dic59—41no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—21no—
664C23×C59—21no—
665C23×C59C2×#4112yes—
666C23×C59H(5,𝔽2)12yes—
667C23×C59H(5,𝔽2)12yes—
668C23×C59C2511yescharacteristic
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—21no—
672C22×D59—21no—
673C22×D59—28no—
674C22×D59—28no—
675C22×D59—21no—
676C22×D59—21no—
677C22×D59—21no—
678C22×D59—21no—
679C22×D59—21no—
680C22×D59—21no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
684C22×D59—21no—
685C22×D59—21no—
686C22×D59—21no—
687C22×D59—21no—
688C22×D59—21no—
689C22×D59—21no—
690C22×D59—21no—
691C22×D59—21no—
692C22×D59—21no—
693C22×D59—28no—
694C22×D59—21no—
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—21no—
699C22×D59—21no—
700C22×D59—21no—
701C22×D59—44no—
702C22×D59—44no—
703C22×D59—44no—
704C22×D59—44no—
705C22×D59—44no—
706C22×D59—44no—
707C22×D59—44no—
708C22×D59—44no—
709C22×D59—44no—
710C22×D59—44no—
711C22×D59—44no—
712C22×D59—44no—
713C22×D59—44no—
714C22×D59—44no—
715C22×D59—82no—
716C22×D59—82no—
717C22×D59—82no—
718C22×D59—82no—
719C22×D59C22×D412yes—
720C22×D59C22×D412yes—
721C22×D59C2×#4112yes—
722C22×D59C2×#4112yes—
723C22×D59C2×#4112yes—
724C22×D59C2×#4112yes—
725Q8×C59—82no—
726D4×C59—44no—
727D4×C59—44no—
728D4×C59—82no—
729C2×C4×C59—28no—
730C2×C4×C59—28no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—44no—
763C2×C4×C59C22×D412yes—
764C2×C4×C59C22×D412yes—
765C2×C4×C59C22×D412yes—
766C2×C4×C59C2×#4112yes—
767C2×C4×C59H(5,𝔽2)12yes—
768C22⋊D59—44no—
769C22⋊D59—44no—
770C22⋊D59—44no—
771C22⋊D59—44no—
772C22⋊D59—82no—
773C22⋊D59—82no—
774C22⋊D59—82no—
775C22⋊D59—82no—
776C22⋊D59—82no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—21no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—44no—
809C2×Dic59—44no—
810C2×Dic59—82no—
811C2×Dic59C22×D412yes—
812C2×Dic59C22×D412yes—
813D236—28no—
814D236—28no—
815D236—28no—
816D236—28no—
817D236—44no—
818D236—82no—
819D236—82no—
820C4×D59—44no—
821C4×D59—44no—
822C4×D59—44no—
823C4×D59—44no—
824C4×D59—44no—
825C4×D59—44no—
826C4×D59—44no—
827C4×D59—44no—
828C4×D59—44no—
829C4×D59—82no—
830C4×D59—82no—
831#34990—591nomaximal, Sylow
832C22×C59—22no—
833C22×C59—22no—
834C22×C59—22no—
835C22×C59—22no—
836C22×C59—22no—
837C22×C59—22no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59—41no—
843C22×C59—41no—
844C22×C59—41no—
845C22×C59—41no—
846C22×C59—41no—
847C22×C59—41no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59#53814yescomplemented
853C22×C59C23×D411yescharacteristic
854C22×C59C22×#4111yescharacteristic
855C22×C59C22×#4111yescharacteristic
856C22×C59C2×H(5,𝔽2)11yescharacteristic
857C22×C59C2×H(5,𝔽2)11yescharacteristic
858C22×C59C2×H(5,𝔽2)11yescharacteristic
859C22×C59#58511yescharacteristic
860C2×D59—22no—
861C2×D59—22no—
862C2×D59—22no—
863C2×D59—22no—
864C2×D59—22no—
865C2×D59—22no—
866C2×D59—22no—
867C2×D59—22no—
868C2×D59—22no—
869C2×D59—22no—
870C2×D59—22no—
871C2×D59—22no—
872C2×D59—22no—
873C2×D59—22no—
874C2×D59—22no—
875C2×D59—416no—
876C2×D59—416no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—41no—
883C2×D59—41no—
884C2×D59—41no—
885C2×D59—41no—
886C2×D59—41no—
887C2×D59—41no—
888C2×D59—41no—
889C2×D59—41no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—88no—
897C2×D59#52514yes—
898C4×C59—22no—
899C4×C59—22no—
900C4×C59—22no—
901C4×C59—22no—
902C4×C59—22no—
903C4×C59—41no—
904C4×C59—41no—
905C4×C59—41no—
906C4×C59—41no—
907C4×C59—41no—
908C4×C59—41no—
909C4×C59—41no—
910Dic59—22no—
911Dic59—22no—
912Dic59—41no—
913Dic59—41no—
914Dic59—41no—
915Dic59—41no—
916Dic59—41no—
917Dic59—41no—
918Dic59—41no—
919Dic59—41no—
920Dic59—41no—
921C2×#538—591no—
922C22×C4×D4—591no—
923#2852—591no—
924#2850D5911yescharacteristic, complemented
925#2849—591no—
926#2847—591no—
927#2636—591no—
928#2635—591no—
929#2631—591no—
930#2630—591no—
931#2481—591no—
932#2472—591no—
933#2467—591no—
934#2459—591no—
935#2456—591no—
936#2456—591no—
937#2450—591no—
938#2444—591no—
939#2443—591no—
940#2437—591no—
941#2424—591no—
942#2424—591no—
943#2418—591no—
944#2410—591no—
945#2410—591no—
946#2403—591no—
947#2325—591no—
948#2321—591no—
949#2318—591no—
950C4×#120—591no—
951C2×#386—591no—
952C2×C59—24no—
953C2×C59—81no—
954C2×C59—81no—
955C2×C59C2×#52511yescharacteristic
956C2×C59C2×#53811yescharacteristic
957C2×C59#345911yescharacteristic
958C2×C59#348411yescharacteristic
959C2×C59#348811yescharacteristic
960C2×C59#351311yescharacteristic
961C2×C59#351911yescharacteristic
962D59—24no—
963D59—42no—
964D59—42no—
965D59—42no—
966D59—81no—
967C23×D4—591no—
968C23×D4—591no—
969C24×C4—591no—
970C24×C4—591no—
971#538—1188no—
972C2×#126—591no—
973C2×#126—591no—
974C2×#124—591no—
975C2×#124C2×D5911yescharacteristic, complemented
976C2×#123—591no—
977C2×#123—591no—
978C2×#123—591no—
979C2×C22⋊Q8—591no—
980C2×C22⋊Q8C2×D5911yescharacteristic, complemented
981C2×#121—591no—
982C2×#121—591no—
983C2×#121—591no—
984C2×#121—591no—
985C2×#121—591no—
986C2×#121—591no—
987C2×#121C2×D5911yescharacteristic
988C2×#120—591no—
989C2×#120—591no—
990C2×#120—591no—
991C2×#120—591no—
992C2×#120—591no—
993C2×#120—591no—
994C2×#120—591no—
995C2×C4×D4—591no—
996C2×C4×D4—591no—
997C2×C4×D4—591no—
998C2×C4×D4—591no—
999C2×C4×D4—591no—
1000C2×C4×D4—591no—
1001C2×C4×D4—591no—
1002C2×C4×D4—591no—
1003C2×C4×D4—591no—
1004C2×C4×D4—591no—
1005C2×C4×D4—591no—
1006C2×C4×D4—1188no—
1007C22×C4⋊C4—591no—
1008C22×C22⋊C4—591no—
1009C22×C22⋊C4—591no—
1010C22×C22⋊C4—591no—
1011C22×C22⋊C4—591no—
1012C22×C22⋊C4—591no—
1013C22×C42C2×D5911yescharacteristic, complemented
1014#400—591no—
1015#400—591no—
1016#399—591no—
1017#399—591no—
1018#398—591no—
1019#397—591no—
1020#397—591no—
1021#397—591no—
1022#396—591no—
1023#396—591no—
1024#396—591no—
1025#396—591no—
1026#394—591no—
1027#394—591no—
1028#394—591no—
1029#394—591no—
1030#394—591no—
1031#394—591no—
1032#394—591no—
1033#394—591no—
1034#394—591no—
1035#393—591no—
1036#393—591no—
1037#392—591no—
1038#392—591no—
1039#392—591no—
1040#392—591no—
1041#392—591no—
1042#392—591no—
1043#392—591no—
1044#392—591no—
1045#392—591no—
1046#391C2×D5911yescharacteristic, complemented
1047#390—591no—
1048#390—591no—
1049#390C2×D5911yescharacteristic, complemented
1050#388—591no—
1051#388—591no—
1052#388—591no—
1053#388—591no—
1054#388—591no—
1055#388—591no—
1056#388—591no—
1057#388—591no—
1058#388C2×D5911yescharacteristic, complemented
1059#388C2×D5911yescharacteristic, complemented
1060#388C2×D5911yescharacteristic, complemented
1061#388C2×D5911yescharacteristic, complemented
1062#387—591no—
1063#387—591no—
1064#387—591no—
1065#387—591no—
1066#387—591no—
1067#387—591no—
1068#386—591no—
1069#386—591no—
1070#386—591no—
1071#386—591no—
1072#386—591no—
1073#386—591no—
1074#386—591no—
1075#386—591no—
1076#386—591no—
1077#386—591no—
1078#386—591no—
1079#386—591no—
1080#386—591no—
1081#386—591no—
1082#386—591no—
1083#386—591no—
1084#386—591no—
1085#386—591no—
1086#386—591no—
1087#386—591no—
1088#386—591no—
1089#386—591no—
1090#386—591no—
1091#386—591no—
1092#386C2×D5911yescharacteristic
1093#386C2×D5911yescharacteristic
1094#386C2×D5911yescharacteristic, complemented
1095#386C2×D5911yescharacteristic, complemented
1096#385—591no—
1097#385—591no—
1098#385—591no—
1099#385—591no—
1100#385—591no—
1101#385—591no—
1102#385—591no—
1103#385—591no—
1104#385—591no—
1105#385—591no—
1106#385—591no—
1107#385—591no—
1108#383—591no—
1109#382C2×D5911yescharacteristic, complemented
1110#381—591no—
1111#381—591no—
1112#380—591no—
1113#380—591no—
1114#380—591no—
1115#380—591no—
1116#379—591no—
1117#379—591no—
1118#379—591no—
1119C4×C22⋊C4—591no—
1120C4×C22⋊C4—591no—
1121C4×C22⋊C4—591no—
1122C2×#95—591no—
1123C2×#95—591no—
1124C59#3499011yescharacteristic, complemented, Sylow
1125C25—591no—
1126C25—591no—
1127C25—591no—
1128C22×Q8C22×D5911yescharacteristic
1129C22×D4—591no—
1130C22×D4—591no—
1131C22×D4—591no—
1132C22×D4—591no—
1133C22×D4—591no—
1134C22×D4—591no—
1135C22×D4—591no—
1136C22×D4—591no—
1137C22×D4—591no—
1138C22×D4—591no—
1139C22×D4—591no—
1140C22×D4—591no—
1141C22×D4—591no—
1142C22×D4—591no—
1143C22×D4—591no—
1144C22×D4—591no—
1145C22×D4—1184no—
1146C22×D4—1184no—
1147C22×D4—1184no—
1148C22×D4—1184no—
1149C22×D4—2362no—
1150C22×D4—2362no—
1151C22×D4C22×D5911yescharacteristic
1152C22×D4C22×D5911yescharacteristic
1153C22×D4C22×D5911yescharacteristic
1154C23×C4—591no—
1155C23×C4—591no—
1156C23×C4—591no—
1157C23×C4—591no—
1158C23×C4—591no—
1159C23×C4—591no—
1160C23×C4—591no—
1161C23×C4—591no—
1162C23×C4—591no—
1163C23×C4—591no—
1164C23×C4—591no—
1165C23×C4—591no—
1166C23×C4—591no—
1167C23×C4—591no—
1168C23×C4—1184no—
1169C23×C4—1184no—
1170C23×C4—2362no—
1171C23×C4—2362no—
1172C23×C4—2362no—
1173C23×C4—2362no—
1174C23×C4C22×D5911yescharacteristic
1175C23×C4C22×D5911yescharacteristic
1176C23×C4C22×D5911yescharacteristic
1177#126—1184no—
1178#126—1184no—
1179#124—24no—
1180#124—1184no—
1181#123—1184no—
1182#123—1184no—
1183#123—2362no—
1184C22⋊Q8—42no—
1185C22⋊Q8—1184no—
1186#121—42no—
1187#121—1184no—
1188#121—1184no—
1189#121—1184no—
1190#121—1184no—
1191#121—2362no—
1192#121—2362no—
1193#120—1184no—
1194#120—1184no—
1195#120—1184no—
1196#120—1184no—
1197#120—2362no—
1198#120—2362no—
1199#120—2362no—
1200C4×D4—598no—
1201C4×D4—1184no—
1202C4×D4—1184no—
1203C4×D4—1184no—
1204C4×D4—1184no—
1205C4×D4—1184no—
1206C4×D4—1184no—
1207C4×D4—1184no—
1208C4×D4—1184no—
1209C4×D4—2362no—
1210C4×D4—2362no—
1211C2×C4⋊C4—591no—
1212C2×C4⋊C4—591no—
1213C2×C4⋊C4—591no—
1214C2×C4⋊C4—591no—
1215C2×C4⋊C4—591no—
1216C2×C4⋊C4—591no—
1217C2×C4⋊C4—591no—
1218C2×C4⋊C4—591no—
1219C2×C4⋊C4—591no—
1220C2×C4⋊C4—591no—
1221C2×C4⋊C4—591no—
1222C2×C4⋊C4—591no—
1223C2×C4⋊C4—591no—
1224C2×C4⋊C4—591no—
1225C2×C4⋊C4—591no—
1226C2×C4⋊C4—591no—
1227C2×C4⋊C4—1184no—
1228C2×C4⋊C4C22×D5911yescharacteristic
1229C2×C4⋊C4C22×D5911yescharacteristic
1230C2×C4⋊C4C22×D5911yescharacteristic
1231C2×C4⋊C4C22×D5911yescharacteristic
1232C2×C22⋊C4—591no—
1233C2×C22⋊C4—591no—
1234C2×C22⋊C4—591no—
1235C2×C22⋊C4—591no—
1236C2×C22⋊C4—591no—
1237C2×C22⋊C4—591no—
1238C2×C22⋊C4—591no—
1239C2×C22⋊C4—591no—
1240C2×C22⋊C4—591no—
1241C2×C22⋊C4—591no—
1242C2×C22⋊C4—591no—
1243C2×C22⋊C4—591no—
1244C2×C22⋊C4—591no—
1245C2×C22⋊C4—591no—
1246C2×C22⋊C4—591no—
1247C2×C22⋊C4—591no—
1248C2×C22⋊C4—591no—
1249C2×C22⋊C4—591no—
1250C2×C22⋊C4—591no—
1251C2×C22⋊C4—591no—
1252C2×C22⋊C4—591no—
1253C2×C22⋊C4—591no—
1254C2×C22⋊C4—591no—
1255C2×C22⋊C4—591no—
1256C2×C22⋊C4—591no—
1257C2×C22⋊C4—591no—
1258C2×C22⋊C4—591no—
1259C2×C22⋊C4—591no—
1260C2×C22⋊C4—591no—
1261C2×C22⋊C4—591no—
1262C2×C22⋊C4—591no—
1263C2×C22⋊C4—591no—
1264C2×C22⋊C4—591no—
1265C2×C22⋊C4—591no—
1266C2×C22⋊C4—591no—
1267C2×C22⋊C4—591no—
1268C2×C22⋊C4—591no—
1269C2×C22⋊C4—591no—
1270C2×C22⋊C4—591no—
1271C2×C22⋊C4—591no—
1272C2×C22⋊C4—591no—
1273C2×C22⋊C4—591no—
1274C2×C22⋊C4—591no—
1275C2×C22⋊C4—591no—
1276C2×C22⋊C4—1184no—
1277C2×C22⋊C4—1184no—
1278C2×C22⋊C4—1184no—
1279C2×C22⋊C4—2362no—
1280C2×C22⋊C4—2362no—
1281C2×C22⋊C4C22×D5911yescharacteristic
1282C2×C22⋊C4C22×D5911yescharacteristic
1283C2×C22⋊C4C22×D5911yescharacteristic
1284C2×C22⋊C4C22×D5911yescharacteristic
1285C2×C22⋊C4C22×D5911yescharacteristic
1286C2×C22⋊C4C22×D5911yescharacteristic
1287C2×C22⋊C4C22×D5911yescharacteristic
1288C2×C22⋊C4C22×D5911yescharacteristic
1289C2×C22⋊C4C22×D5911yescharacteristic
1290C2×C22⋊C4C22×D5911yescharacteristic
1291C2×C22⋊C4C22×D5911yescharacteristic
1292C2×C22⋊C4C22×D5911yescharacteristic
1293C2×C42—24no—
1294C2×C42—591no—
1295C2×C42—591no—
1296C2×C42—591no—
1297C2×C42C22×D5911yescharacteristic
1298C2×C42C22×D5911yescharacteristic
1299C2×C42C22×D5911yescharacteristic
1300C2×C42C22×D5911yescharacteristic
1301#95—591no—
1302#95—591no—
1303#95—591no—
1304#95—591no—
1305#95—591no—
1306#95—591no—
1307#95—591no—
1308#95—591no—
1309#95—591no—
1310#95—591no—
1311#95—591no—
1312#95—591no—
1313#95—591no—
1314#95—591no—
1315#95—591no—
1316#95—591no—
1317#95—591no—
1318#95—591no—
1319#95—591no—
1320#95—591no—
1321#95—591no—
1322#95—591no—
1323#95—591no—
1324#95—591no—
1325#95C22×D5911yescharacteristic
1326#95C22×D5911yescharacteristic
1327#95C22×D5911yescharacteristic
1328#95C22×D5911yescharacteristic
1329#95C22×D5911yescharacteristic
1330#95C22×D5911yescharacteristic
1331#95C22×D5911yescharacteristic
1332#95C22×D5911yescharacteristic
1333C24—591no—
1334C24—591no—
1335C24—591no—
1336C24—591no—
1337C24—594no—
1338C24—591no—
1339C24—1182no—
1340C24—1182no—
1341C24—1182no—
1342C24—1182no—
1343C24—1182no—
1344C24—1182no—
1345C24—1182no—
1346C24—1182no—
1347C24—1182no—
1348C24—1182no—
1349C24—1182no—
1350C24—1182no—
1351C24—2361no—
1352C24—2361no—
1353C24—2361no—
1354C24—2361no—
1355C24—2361no—
1356C24—2361no—
1357C24—2361no—
1358C24—2361no—
1359C24C23×D5911yescharacteristic
1360C24C23×D5911yescharacteristic
1361C24C23×D5911yescharacteristic
1362C2×Q8—22no—
1363C2×Q8—41no—
1364C2×Q8—41no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—594no—
1375C2×D4—594no—
1376C2×D4—1182no—
1377C2×D4—1182no—
1378C2×D4—1182no—
1379C2×D4—1182no—
1380C2×D4—1182no—
1381C2×D4—1182no—
1382C2×D4—1182no—
1383C2×D4—1182no—
1384C2×D4—11832no—
1385C2×D4—1182no—
1386C2×D4—1182no—
1387C2×D4—1182no—
1388C2×D4—1182no—
1389C2×D4—1182no—
1390C2×D4—1182no—
1391C2×D4—1182no—
1392C2×D4—1182no—
1393C2×D4—1182no—
1394C2×D4—1182no—
1395C2×D4—1182no—
1396C2×D4—1182no—
1397C2×D4—1182no—
1398C2×D4—1182no—
1399C2×D4—1182no—
1400C2×D4—1182no—
1401C2×D4—1182no—
1402C2×D4—1182no—
1403C2×D4—2361no—
1404C2×D4—2361no—
1405C2×D4—2361no—
1406C2×D4—2361no—
1407C2×D4—2361no—
1408C2×D4—2361no—
1409C2×D4—2361no—
1410C2×D4—2361no—
1411C2×D4—2361no—
1412C2×D4—2361no—
1413C2×D4—2361no—
1414C2×D4—2361no—
1415C2×D4—2361no—
1416C2×D4—2361no—
1417C2×D4—2361no—
1418C2×D4—2361no—
1419C2×D4—2361no—
1420C2×D4—2361no—
1421C2×D4—2361no—
1422C2×D4—2361no—
1423C2×D4—23616no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—41no—
1433C22×C4—591no—
1434C22×C4—591no—
1435C22×C4—594no—
1436C22×C4—594no—
1437C22×C4—591no—
1438C22×C4—591no—
1439C22×C4—591no—
1440C22×C4—591no—
1441C22×C4—591no—
1442C22×C4—591no—
1443C22×C4—591no—
1444C22×C4—591no—
1445C22×C4—591no—
1446C22×C4—1182no—
1447C22×C4—1182no—
1448C22×C4—1182no—
1449C22×C4—1182no—
1450C22×C4—1182no—
1451C22×C4—1182no—
1452C22×C4—1182no—
1453C22×C4—1182no—
1454C22×C4—1182no—
1455C22×C4—1182no—
1456C22×C4—1182no—
1457C22×C4—1182no—
1458C22×C4—1182no—
1459C22×C4—1182no—
1460C22×C4—1182no—
1461C22×C4—1182no—
1462C22×C4—1182no—
1463C22×C4—1182no—
1464C22×C4—2361no—
1465C22×C4—2361no—
1466C22×C4—2361no—
1467C22×C4—2361no—
1468C22×C4—2361no—
1469C22×C4—2361no—
1470C22×C4—2361no—
1471C22×C4—2361no—
1472C22×C4—2361no—
1473C22×C4—2361no—
1474C22×C4—2361no—
1475C22×C4—2361no—
1476C22×C4—2361no—
1477C22×C4—2361no—
1478C22×C4—2361no—
1479C22×C4—2361no—
1480C22×C4—2361no—
1481C22×C4—2361no—
1482C22×C4—23616no—
1483C22×C4—23616no—
1484C22×C4—2361no—
1485C22×C4—2361no—
1486C22×C4—2361no—
1487C22×C4—2361no—
1488C22×C4C23×D5911yescharacteristic
1489C22×C4C23×D5911yescharacteristic
1490C22×C4C23×D5911yescharacteristic
1491C22×C4C23×D5911yescharacteristic
1492C22×C4C23×D5911yescharacteristic
1493C22×C4C23×D5911yescharacteristic
1494C22×C4C23×D5911yescharacteristic
1495C22×C4C23×D5911yescharacteristic
1496C22×C4C23×D5911yescharacteristic
1497C22×C4C23×D5911yescharacteristic
1498C22×C4C23×D5911yescharacteristic
1499C22×C4C23×D5911yescharacteristic
1500C4⋊C4—41no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4—41no—
1504C4⋊C4—594no—
1505C4⋊C4—1182no—
1506C4⋊C4—1182no—
1507C4⋊C4—1182no—
1508C4⋊C4—1182no—
1509C4⋊C4—1182no—
1510C4⋊C4—1182no—
1511C4⋊C4—1182no—
1512C4⋊C4—1182no—
1513C4⋊C4—1182no—
1514C4⋊C4—1182no—
1515C4⋊C4—2361no—
1516C4⋊C4—2361no—
1517C4⋊C4—2361no—
1518C4⋊C4—2361no—
1519C4⋊C4—2361no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—594no—
1533C22⋊C4—594no—
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—1182no—
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—2361no—
1569C22⋊C4—2361no—
1570C22⋊C4—2361no—
1571C22⋊C4—2361no—
1572C22⋊C4—2361no—
1573C22⋊C4—2361no—
1574C22⋊C4—2361no—
1575C22⋊C4—2361no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—1182no—
1580C42—2361no—
1581C42—2361no—
1582C42D4×D5914yescomplemented
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—592no—
1602C23—592no—
1603C23—592no—
1604C23—592no—
1605C23—592no—
1606C23—592no—
1607C23—1188no—
1608C23—1188no—
1609C23—1181no—
1610C23—1181no—
1611C23—1181no—
1612C23—1181no—
1613C23—1181no—
1614C23—1181no—
1615C23—1181no—
1616C23—1181no—
1617C23—1181no—
1618C23—1181no—
1619C23—1181no—
1620C23—1181no—
1621C23—1181no—
1622C23—1181no—
1623C23—1181no—
1624C23—1181no—
1625C23—1181no—
1626C23—1181no—
1627C23—1181no—
1628C23—1181no—
1629C23—1181no—
1630C23—1181no—
1631C23—1188no—
1632C23—1181no—
1633C23—1181no—
1634C23—1181no—
1635C23—1181no—
1636C23—1181no—
1637C23—1181no—
1638C23—1181no—
1639C23—4722no—
1640C23—4722no—
1641C23—4722no—
1642C23—4722no—
1643C23—2364no—
1644C23—2364no—
1645C23—2364no—
1646C23—2364no—
1647C23—2364no—
1648C23—2364no—
1649C23—2364no—
1650C23—2364no—
1651C23—2364no—
1652C23—2364no—
1653C23—2364no—
1654C23—2364no—
1655C23—2364no—
1656C23—2364no—
1657C23#41×D5912yes—
1658C23#1427377212yes—
1659C23#1427377312yes—
1660C23C24×D5911yescharacteristic
1661Q8—82no—
1662D4—44no—
1663D4—44no—
1664D4—82no—
1665D4—1188no—
1666D4—1188no—
1667D4—1188no—
1668D4—1188no—
1669D4—4722no—
1670D4—4722no—
1671D4—4722no—
1672D4—4722no—
1673D4—4722no—
1674D4—4722no—
1675D4—4722no—
1676D4—2364no—
1677D4—2364no—
1678D4—2364no—
1679D4—2364no—
1680D4—2364no—
1681C2×C4—28no—
1682C2×C4—28no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—44no—
1715C2×C4—592no—
1716C2×C4—592no—
1717C2×C4—1181no—
1718C2×C4—1181no—
1719C2×C4—1181no—
1720C2×C4—1181no—
1721C2×C4—1181no—
1722C2×C4—1181no—
1723C2×C4—1181no—
1724C2×C4—1181no—
1725C2×C4—1181no—
1726C2×C4—1181no—
1727C2×C4—1181no—
1728C2×C4—1181no—
1729C2×C4—1181no—
1730C2×C4—1181no—
1731C2×C4—1181no—
1732C2×C4—1181no—
1733C2×C4—1181no—
1734C2×C4—1181no—
1735C2×C4—1181no—
1736C2×C4—1181no—
1737C2×C4—1181no—
1738C2×C4—1181no—
1739C2×C4—1181no—
1740C2×C4—1181no—
1741C2×C4—1181no—
1742C2×C4—1181no—
1743C2×C4—1181no—
1744C2×C4—1181no—
1745C2×C4—1181no—
1746C2×C4—1181no—
1747C2×C4—1181no—
1748C2×C4—4722no—
1749C2×C4—4722no—
1750C2×C4—4722no—
1751C2×C4—2364no—
1752C2×C4—2364no—
1753C2×C4—2364no—
1754C2×C4—2364no—
1755C2×C4—2364no—
1756C2×C4—2364no—
1757C2×C4—2364no—
1758C2×C4—2364no—
1759C2×C4—2364no—
1760C2×C4—2364no—
1761C2×C4—2364no—
1762C2×C4C2×D4×D5912yes—
1763C2×C4C2×D4×D5912yes—
1764C2×C4C2×D4×D5912yes—
1765C2×C4#41×D5912yes—
1766C2×C4#1427377312yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—41no—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—594no—
1788C22—1182no—
1789C22—1182no—
1790C22—1182no—
1791C22—1182no—
1792C22—1182no—
1793C22—1182no—
1794C22—1182no—
1795C22—1182no—
1796C22—1182no—
1797C22—1182no—
1798C22—1182no—
1799C22—1182no—
1800C22—1182no—
1801C22—1182no—
1802C22—1182no—
1803C22—4728no—
1804C22—23616no—
1805C22—23616no—
1806C22—2361no—
1807C22—2361no—
1808C22—2361no—
1809C22—2361no—
1810C22—2361no—
1811C22—2361no—
1812C22—2361no—
1813C22—2361no—
1814C22—2361no—
1815C22—2361no—
1816C22—2361no—
1817C22—2361no—
1818C22—2361no—
1819C22—2361no—
1820C22—2361no—
1821C22—2361no—
1822C22—2361no—
1823C22—2361no—
1824C22—2361no—
1825C22#1683798614yescomplemented
1826C22C22×D4×D5911yescharacteristic
1827C22C2×#41×D5911yescharacteristic
1828C22C2×#41×D5911yescharacteristic
1829C22C2×#1427377211yescharacteristic
1830C22C2×#1427377311yescharacteristic
1831C22C2×#1427377311yescharacteristic
1832C22#1683823811yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—22no—
1837C4—22no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—1182no—
1846C4—1182no—
1847C4—2361no—
1848C4—2361no—
1849C4—2361no—
1850C4—2361no—
1851C4—2361no—
1852C4—2361no—
1853C4—2361no—
1854C4—2361no—
1855C4—2361no—
1856C2—24no—
1857C2—81no—
1858C2—81no—
1859C2—1184no—
1860C2—4721no—
1861C2—2362no—
1862C2—2362no—
1863C2—2362no—
1864C2#525×D5911yescharacteristic
1865C2C2×#1683798611yescharacteristic
1866C2#2143750611yescharacteristic
1867C2#2143772911yescharacteristic
1868C2#2143776111yescharacteristic
1869C2#2143804011yescharacteristic
1870C2#2143812311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2850C2
hypercenter#2850D59
hypocenterC59#34990
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2850

Complements

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

NH ≅ G/Ntype
1. C2×#16837986C2semidirect
2. C22×C4×D236C2semidirect
3. #21432411C2semidirect
4. #21432387C2semidirect
5. #21432377C2semidirect
6. #21429995C2semidirect
7. #21429987C2semidirect
8. #21429949C2semidirect
9. #21429943C2semidirect
10. #21428356C2semidirect
11. #21428229C2semidirect
12. #21428146C2semidirect
13. #21428040C2semidirect
14. #21427994C2semidirect
15. #21427985C2semidirect
16. #21427917C2semidirect
17. #21427853C2semidirect
18. #21427829C2semidirect
19. #21427759C2semidirect
20. #21427639C2semidirect
21. #21427638C2semidirect
22. #21427563C2semidirect
23. #21427473C2semidirect
24. #21427467C2semidirect
25. #21427408C2semidirect
26. #21426800C2semidirect
27. #21426758C2semidirect
28. #21426732C2semidirect
29. #21426601C2semidirect
30. #386×D59C2semidirect
31. C59×#2850C2semidirect
35. C23×C4×D59C22semidirect
37. C2×#14273721C22semidirect
38. C2×#14273720C22semidirect
39. C2×#14273716C22semidirect
40. C2×#14273711C22semidirect
41. C2×#14273709C22semidirect
42. C2×#14273709C22semidirect
43. C2×#14273703C22semidirect
46. C2×#14273700C22semidirect
47. C2×#14273700C22semidirect
49. C2×#14273699C22semidirect
55. C2×#14273695C22semidirect
56. C2×#14273695C22semidirect
62. C2×C4×D236C22semidirect
63. C2×C4×D236C22semidirect
64. C2×C4×D236C22semidirect
65. C2×C4×D236C22semidirect
66. C2×D4×Dic59C22semidirect
67. C2×(C22⋊D59)⋊C4C22semidirect
68. C2×(C22⋊D59)⋊C4C22semidirect
69. C22×C4⋊Dic59C22semidirect
71. C22×(C2×D59)⋊C4C22semidirect
73. C2×C22⋊C4×D59C22semidirect
74. C2×C22⋊C4×D59C22semidirect
75. #16837344C22semidirect
76. #16837342C22semidirect
77. #16837339C22semidirect
78. #16837337C22semidirect
79. #16837334C22semidirect
80. #16837328C22semidirect
81. #16837327C22semidirect
82. #16837327C22semidirect
83. #16837325C22semidirect
84. #16837324C22semidirect
85. #16837324C22semidirect
86. #16837324C22semidirect
87. #16837320C22semidirect
88. #16837320C22semidirect
89. #16837319C22semidirect
90. #16837319C22semidirect
91. #16837319C22semidirect
92. #16837318C22semidirect
93. #16837318C22semidirect
94. #16837317C22semidirect
95. #16837317C22semidirect
96. #16837313C22semidirect
97. #16837313C22semidirect
102. #16837311C22semidirect
103. #16837311C22semidirect
104. #16837311C22semidirect
105. #16837310C22semidirect
106. #16837310C22semidirect
107. #16837303C22semidirect
108. #16837302C22semidirect
109. #16837295C22semidirect
110. #16837294C22semidirect
111. #16837293C22semidirect
112. #16837293C22semidirect
113. #16837293C22semidirect
114. #16837292C22semidirect
115. #16837292C22semidirect
116. #16837292C22semidirect
117. #16837289C22semidirect
118. #16837287C22semidirect
119. #16837287C22semidirect
120. #16837286C22semidirect
121. #16837286C22semidirect
122. #16837286C22semidirect
132. #16837280C22semidirect
133. #16837280C22semidirect
134. #16837280C22semidirect
135. #16837280C22semidirect
137. #16837279C22semidirect
138. #16837278C22semidirect
139. #16837278C22semidirect
140. #16837278C22semidirect
141. #16837278C22semidirect
142. #16837278C22semidirect
143. #16837278C22semidirect
144. #16837278C22semidirect
145. #16837278C22semidirect
146. #16837278C22semidirect
147. #16837277C22semidirect
148. #16837277C22semidirect
149. #16837276C22semidirect
150. #16837276C22semidirect
151. #16837276C22semidirect
152. #16837276C22semidirect
153. #16837275C22semidirect
154. #16837275C22semidirect
155. #16837275C22semidirect
156. #16837273C22semidirect
157. #16837273C22semidirect
158. #16837273C22semidirect
159. #16837270C22semidirect
160. #16837264C22semidirect
161. #16837264C22semidirect
162. #16837261C22semidirect
163. #16837261C22semidirect
164. #16837260C22semidirect
165. #16837259C22semidirect
167. #16837257C22semidirect
168. #16837257C22semidirect
169. C22⋊C4×Dic59C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. #95×D59C22semidirect
173. #95×D59C22semidirect
174. C2×#124×C59C22semidirect
175. C2×C22⋊Q8×C59C22semidirect
177. C22×C42×C59C22semidirect
178. C59×#391C22semidirect
179. C59×#390C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
183. C59×#388C22semidirect
186. C59×#386C22semidirect
187. C59×#386C22semidirect
188. C59×#382C22semidirect
261. C4×D236D4semidirect
563. C2×C4×D59C2×D4semidirect
583. C42×C59C2×D4semidirect
627. (C2×D59)⋊C4C2×D4semidirect
634. C4⋊Dic59C2×D4semidirect
852. C22×C59#538semidirect
924. #2850D59semidirect
975. C2×#124C2×D59semidirect
980. C2×C22⋊Q8C2×D59semidirect
1013. C22×C42C2×D59semidirect
1046. #391C2×D59semidirect
1049. #390C2×D59semidirect
1058. #388C2×D59semidirect
1059. #388C2×D59semidirect
1060. #388C2×D59semidirect
1061. #388C2×D59semidirect
1094. #386C2×D59semidirect
1095. #386C2×D59semidirect
1109. #382C2×D59semidirect
1124. C59#34990semidirect
1582. C42D4×D59semidirect
1825. C22#16837986semidirect

Maximal subgroups

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

subgroupindex
C2×#168379862
C22×C4×D2362
#214324112
#214323872
#214323772
#214299952
#214299872
#214299492
#214299432
#214283562
#214282292
#214281462
#214280402
#214279942
#214279852
#214279172
#214278532
#214278292
#214277592
#214276392
#214276382
#214275632
#214274732
#214274672
#214274082
#214268002
#214267582
#214267322
#214266012
#386×D592
C59×#28502
#3499059