Finite Group Databasebeta

← #28795492

Subgroups — #28795492

Order 15104.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837982C211yesmaximal, characteristic, complemented
2C2×C22⋊Q8×D59C211yesmaximal, characteristic, complemented
3#21432379C211yesmaximal, characteristic, complemented
4#21432377C211yesmaximal, characteristic, complemented
5#21430599C211yesmaximal, characteristic, complemented
6#21430597C211yesmaximal, characteristic, complemented
7#21430594C211yesmaximal, characteristic, complemented
8#21430592C211yesmaximal, characteristic, complemented
9#21430587C211yesmaximal, characteristic, complemented
10#21430586C211yesmaximal, characteristic, complemented
11#21430585C211yesmaximal, characteristic, complemented
12#21430403C211yesmaximal, characteristic, complemented
13#21430401C211yesmaximal, characteristic, complemented
14#21430400C211yesmaximal, characteristic, complemented
15#21430398C211yesmaximal, characteristic, complemented
16#21430396C211yesmaximal, characteristic, complemented
17#21430395C211yesmaximal, characteristic, complemented
18#21430394C211yesmaximal, characteristic, complemented
19#21430393C211yesmaximal, characteristic, complemented
20#21429843C211yesmaximal, characteristic, complemented
21#21429839C211yesmaximal, characteristic, complemented
22#21429025C211yesmaximal, characteristic, complemented
23#21429023C211yesmaximal, characteristic, complemented
24#21427753C211yesmaximal, characteristic, complemented
25#21427749C211yesmaximal, characteristic, complemented
26#21427432C211yesmaximal, characteristic, complemented
27#21427429C211yesmaximal, characteristic, complemented
28#21427416C211yesmaximal, characteristic, complemented
29#21427413C211yesmaximal, characteristic, complemented
30#21426695C211yesmaximal, characteristic, complemented
31C59×#2692C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic
33C22×#11745685C2211yescharacteristic
34C22×Q8×D59C2211yescharacteristic
35C23×C4×D59C2211yescharacteristic
36#16837982—28no—
37C2×#14273716C2211yescharacteristic, complemented
38C2×#14273715C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273713C2211yescharacteristic, complemented
41C2×#14273712C2211yescharacteristic
42C2×#14273712C2211yescharacteristic
43C2×#14273712C2211yescharacteristic
44C2×#14273709C2211yescharacteristic
45C2×#14273707C2211yescharacteristic
46C2×#14273706C2211yescharacteristic
47C2×#14273705C2211yescharacteristic
48C2×#14273705C2211yescharacteristic
49C2×#14273705C2211yescharacteristic, complemented
50C2×#14273705C2211yescharacteristic, complemented
51C2×#14273704C2211yescharacteristic
52C2×#14273704C2211yescharacteristic
53C2×#14273703C2211yescharacteristic
54C2×#14273703C2211yescharacteristic, complemented
55C22⋊Q8×D59—28no—
56C2×#14273702C2211yescharacteristic
57C2×#14273702C2211yescharacteristic
58C2×#14273702C2211yescharacteristic
59C2×#14273702C2211yescharacteristic, complemented
60C2×#14273701C2211yescharacteristic
61C2×#14273701C2211yescharacteristic, complemented
62C2×#14273700C2211yescharacteristic
63C2×#14273700C2211yescharacteristic
64C2×#14273700C2211yescharacteristic
65C2×#14273700C2211yescharacteristic, complemented
66C2×#14273700C2211yescharacteristic, complemented
67C2×#14273699C2211yescharacteristic
68C2×#14273697C2211yescharacteristic
69C2×#14273697C2211yescharacteristic
70C2×#14273697C2211yescharacteristic
71C2×#14273695C2211yescharacteristic
72C2×C4⋊C4×D59C2211yescharacteristic
73C2×C4⋊C4×D59C2211yescharacteristic
74C2×C4⋊C4×D59C2211yescharacteristic
75C2×C22⋊C4×D59C2211yescharacteristic
76C2×C22⋊C4×D59C2211yescharacteristic
77#16837338C2211yescharacteristic
78#16837337C2211yescharacteristic
79#16837337C2211yescharacteristic
80#16837336C2211yescharacteristic, complemented
81#16837335C2211yescharacteristic, complemented
82#16837333C2211yescharacteristic, complemented
83#16837326C2211yescharacteristic, complemented
84#16837326C2211yescharacteristic, complemented
85#16837325C2211yescharacteristic, complemented
86#16837324C2211yescharacteristic, complemented
87#16837324C2211yescharacteristic, complemented
88#16837324C2211yescharacteristic, complemented
89#16837324C2211yescharacteristic, complemented
90#16837323C2211yescharacteristic, complemented
91#16837322C2211yescharacteristic, complemented
92#16837321C2211yescharacteristic, complemented
93#16837320C2211yescharacteristic, complemented
94#16837320C2211yescharacteristic, complemented
95#16837319C2211yescharacteristic, complemented
96#16837319C2211yescharacteristic, complemented
97#16837318C2211yescharacteristic, complemented
98#16837318C2211yescharacteristic, complemented
99#16837317C2211yescharacteristic, complemented
100#16837317C2211yescharacteristic, complemented
101#16837315C2211yescharacteristic
102#16837315C2211yescharacteristic, complemented
103#16837315C2211yescharacteristic, complemented
104#16837315C2211yescharacteristic, complemented
105#16837315C2211yescharacteristic, complemented
106#16837315C2211yescharacteristic, complemented
107#16837314C2211yescharacteristic
108#16837314C2211yescharacteristic, complemented
109#16837313C2211yescharacteristic
110#16837313C2211yescharacteristic, complemented
111#16837312C2211yescharacteristic
112#16837312C2211yescharacteristic
113#16837311C2211yescharacteristic
114#16837311C2211yescharacteristic
115#16837311C2211yescharacteristic
116#16837311C2211yescharacteristic
117#16837310C2211yescharacteristic
118#16837310C2211yescharacteristic
119#16837307C2211yescharacteristic, complemented
120#16837306C2211yescharacteristic, complemented
121#16837306C2211yescharacteristic, complemented
122#16837304C2211yescharacteristic
123#16837303C2211yescharacteristic
124#16837303C2211yescharacteristic
125#16837302C2211yescharacteristic
126#16837302C2211yescharacteristic
127#16837302C2211yescharacteristic
128#16837302C2211yescharacteristic
129#16837289C2211yescharacteristic, complemented
130#16837288C2211yescharacteristic, complemented
131#16837287C2211yescharacteristic, complemented
132#16837286C2211yescharacteristic, complemented
133#16837285C2211yescharacteristic, complemented
134#16837284C2211yescharacteristic, complemented
135#16837283C2211yescharacteristic, complemented
136#16837281C2211yescharacteristic
137#16837281C2211yescharacteristic
138#16837280C2211yescharacteristic
139#16837280C2211yescharacteristic
140#16837280C2211yescharacteristic
141#16837280C2211yescharacteristic
142#16837280C2211yescharacteristic
143#16837280C2211yescharacteristic
144#16837280C2211yescharacteristic
145#16837280C2211yescharacteristic
146#16837280C2211yescharacteristic
147#16837280C2211yescharacteristic
148#16837280C2211yescharacteristic
149#16837280C2211yescharacteristic
150#16837279C2211yescharacteristic
151#16837279C2211yescharacteristic
152#16837278C2211yescharacteristic
153#16837278C2211yescharacteristic
154#16837278C2211yescharacteristic
155#16837278C2211yescharacteristic
156#16837278C2211yescharacteristic
157#16837278C2211yescharacteristic
158#16837276C2211yescharacteristic, complemented
159#16837276C2211yescharacteristic, complemented
160#16837276C2211yescharacteristic, complemented
161#16837275C2211yescharacteristic, complemented
162#16837273C2211yescharacteristic, complemented
163#16837273C2211yescharacteristic, complemented
164#16837273C2211yescharacteristic, complemented
165#16837264C2211yescharacteristic
166#16837264C2211yescharacteristic
167#16837261C2211yescharacteristic
168#16837261C2211yescharacteristic
169#16837260C2211yescharacteristic
170#16837259C2211yescharacteristic
171#16837259C2211yescharacteristic
172C4×(C2×D59)⋊C4C2211yescharacteristic
173#16837249C2211yescharacteristic
174C2×C22⋊Q8×C59C2211yescharacteristic
175C2×C22⋊Q8×C59C2211yescharacteristic, complemented
176C59×#399C2211yescharacteristic
177C59×#398C2211yescharacteristic, complemented
178C59×#396C2211yescharacteristic, complemented
179C59×#395C2211yescharacteristic, complemented
180C59×#393C2211yescharacteristic
181C59×#393C2211yescharacteristic, complemented
182C59×#391C2211yescharacteristic, complemented
183C59×#390C2211yescharacteristic
184C59×#387C2211yescharacteristic, complemented
185C59×#386C2211yescharacteristic
186C59×#386C2211yescharacteristic
187C59×#385C2211yescharacteristic, complemented
188C59×#380C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C2×#11745689—24no—
191C2×#11745689—42no—
192C2×#11745689—42no—
193C2×#11745685—24no—
194C2×#11745685—42no—
195C2×#11745685—42no—
196C22×Dic118C2311yescharacteristic
197C22×Dic118C2311yescharacteristic
198C22×Dic118C2311yescharacteristic
199C22×Dic118C2311yescharacteristic
200C2×Q8×D59—24no—
201C2×Q8×D59—42no—
202C2×Q8×D59—42no—
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
218C22×C22⋊D59C2311yescharacteristic
219C22×C22⋊D59C2311yescharacteristic
220C23×Dic59C2311yescharacteristic
221C22×C4×D59—24no—
222C22×C4×D59—42no—
223C22×C4×D59—42no—
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
234C22×C4×D59C2311yescharacteristic
235#14273716—42no—
236#14273715—42no—
237#14273713—42no—
238#14273713—42no—
239#14273712—42no—
240#14273712—42no—
241#14273712—42no—
242#14273709—42no—
243#14273707—24no—
244#14273706—24no—
245#14273705—24no—
246#14273705—24no—
247#14273705—24no—
248#14273705—24no—
249#14273704—24no—
250#14273704—24no—
251#14273703—24no—
252#14273703—24no—
253#14273702—24no—
254#14273702—24no—
255#14273702—24no—
256#14273702—42no—
257#14273701—24no—
258#14273701—42no—
259#14273700—24no—
260#14273700—24no—
261#14273700—24no—
262#14273700—24no—
263#14273700—42no—
264#14273699—42no—
265#14273697—42no—
266#14273697—42no—
267#14273697—42no—
268#14273695—42no—
269C2×C4⋊Dic59C2311yescharacteristic
270C2×C4⋊Dic59C2311yescharacteristic
271C2×C4⋊Dic59C2311yescharacteristic
272C2×C4⋊Dic59C2311yescharacteristic
273C2×C4⋊Dic59C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
283C2×Dic59⋊C4C2311yescharacteristic
284C2×Dic59⋊C4C2311yescharacteristic
285C2×Dic59⋊C4C2311yescharacteristic
286C2×Dic59⋊C4C2311yescharacteristic
287C2×Dic59⋊C4C2311yescharacteristic
288C4⋊C4×D59—24no—
289C4⋊C4×D59—24no—
290C4⋊C4×D59D418yescomplemented
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2311yescharacteristic
295C2×C22⋊Dic59C2311yescharacteristic
296C2×C22⋊Dic59C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×(C2×D59)⋊C4C2311yescharacteristic
316C2×(C2×D59)⋊C4C2311yescharacteristic
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C2×(C2×D59)⋊C4C2311yescharacteristic
319C2×(C2×D59)⋊C4C2311yescharacteristic
320C2×(C2×D59)⋊C4C2311yescharacteristic
321C2×(C2×D59)⋊C4C2311yescharacteristic
322C2×(C2×D59)⋊C4C2311yescharacteristic
323C2×(C2×D59)⋊C4C2311yescharacteristic
324C2×(C2×D59)⋊C4C2311yescharacteristic
325C2×(C2×D59)⋊C4C2311yescharacteristic
326C2×(C2×D59)⋊C4C2311yescharacteristic
327C2×(C2×D59)⋊C4C2311yescharacteristic
328C2×(C2×D59)⋊C4C2311yescharacteristic
329C2×(C2×D59)⋊C4C2311yescharacteristic
330C2×(C2×D59)⋊C4C2311yescharacteristic
331C2×(C2×D59)⋊C4C2311yescharacteristic
332C2×(C2×D59)⋊C4C2311yescharacteristic
333C22⋊C4×D59—24no—
334C22⋊C4×D59—24no—
335C2×C4×Dic59C2311yescharacteristic
336C2×C4×Dic59C2311yescharacteristic
337C2×C4×Dic59C2311yescharacteristic
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
358C59⋊#95C2311yescharacteristic
359C59⋊#95C2311yescharacteristic
360C22×Q8×C59C2311yescharacteristic
361C22×Q8×C59C2311yescharacteristic
362C22×D4×C59C2311yescharacteristic
363C23×C4×C59C2311yescharacteristic
364C23×C4×C59C2311yescharacteristic
365C22⋊Q8×C59—24no—
366C22⋊Q8×C59—24no—
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C4⋊C4×C59C2311yescharacteristic
372C2×C4⋊C4×C59C2311yescharacteristic
373C2×C4⋊C4×C59C2311yescharacteristic
374C2×C4⋊C4×C59C2311yescharacteristic
375C2×C4⋊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×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C42×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×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
399C23×D59—22no—
400C23×D59—22no—
401C23×D59—22no—
402C23×D59—22no—
403C23×D59—22no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59C2411yescharacteristic
407C23×D59C2411yescharacteristic
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C2×Q8×C59—22no—
412C2×Q8×C59—22no—
413C2×Q8×C59—22no—
414C2×Q8×C59—41no—
415C2×Q8×C59—41no—
416C2×Q8×C59—41no—
417C2×D4×C59—22no—
418C2×D4×C59—41no—
419C2×D4×C59—41no—
420C22×C4×C59—22no—
421C22×C4×C59—22no—
422C22×C4×C59—22no—
423C22×C4×C59—41no—
424C22×C4×C59—41no—
425C22×C4×C59—41no—
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
447C2×C22⋊D59—22no—
448C2×C22⋊D59—22no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59—41no—
453C2×C22⋊D59—41no—
454C2×C22⋊D59—41no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59—41no—
458C2×C22⋊D59—41no—
459C2×C22⋊D59—41no—
460C2×C22⋊D59—41no—
461C2×C22⋊D59—41no—
462C2×C22⋊D59—41no—
463C22×Dic59—22no—
464C22×Dic59—22no—
465C22×Dic59—41no—
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477#11745689—416no—
478Q8×D59—416no—
479#11745685—416no—
480C2×D236—22no—
481C2×D236—22no—
482C2×D236—22no—
483C2×D236—22no—
484C2×D236—22no—
485C2×D236—22no—
486C2×D236—22no—
487C2×D236—22no—
488C2×D236—22no—
489C2×D236—22no—
490C2×D236—22no—
491C2×D236—22no—
492C2×D236—22no—
493C2×D236—22no—
494C2×D236—22no—
495C2×D236—41no—
496C2×D236—41no—
497C2×D236—41no—
498C2×D236—41no—
499C2×D236—41no—
500C2×D236—41no—
501C2×D236—41no—
502C2×D236—41no—
503C2×D236—41no—
504C2×D236—41no—
505C2×D236—41no—
506C2×D236—41no—
507C2×C4×D59—22no—
508C2×C4×D59—22no—
509C2×C4×D59—22no—
510C2×C4×D59—22no—
511C2×C4×D59—22no—
512C2×C4×D59—22no—
513C2×C4×D59—22no—
514C2×C4×D59—22no—
515C2×C4×D59—22no—
516C2×C4×D59—22no—
517C2×C4×D59—22no—
518C2×C4×D59—22no—
519C2×C4×D59—22no—
520C2×C4×D59—22no—
521C2×C4×D59—22no—
522C2×C4×D59—22no—
523C2×C4×D59—416no—
524C2×C4×D59—41no—
525C2×C4×D59—41no—
526C2×C4×D59—41no—
527C2×C4×D59—41no—
528C2×C4×D59—41no—
529C2×C4×D59—41no—
530C2×C4×D59—41no—
531C2×C4×D59—41no—
532C2×C4×D59—41no—
533C2×C4×D59—41no—
534C2×C4×D59—41no—
535C2×C4×D59—41no—
536C2×C4×D59—41no—
537C2×C4×D59—41no—
538C2×C4×D59C2×D414yes—
539C2×C4×D59C2×D414yes—
540C2×C4×D59C2×D414yes—
541C2×Dic118—22no—
542C2×Dic118—22no—
543C2×Dic118—22no—
544C2×Dic118—22no—
545C2×Dic118—22no—
546C2×Dic118—22no—
547C2×Dic118—22no—
548C2×Dic118—41no—
549C2×Dic118—41no—
550C2×Dic118—41no—
551C2×Dic118—41no—
552C2×Dic118—41no—
553C4⋊C4×C59—22no—
554C4⋊C4×C59—22no—
555C4⋊C4×C59—22no—
556C4⋊C4×C59—22no—
557C4⋊C4×C59—41no—
558C4⋊C4×C59—41no—
559C4⋊C4×C59—41no—
560C4⋊C4×C59—41no—
561C4⋊C4×C59C2×D414yes—
562C22⋊C4×C59—22no—
563C22⋊C4×C59—22no—
564C22⋊C4×C59—22no—
565C22⋊C4×C59—22no—
566C22⋊C4×C59—22no—
567C22⋊C4×C59—41no—
568C22⋊C4×C59—41no—
569C22⋊C4×C59—41no—
570C22⋊C4×C59—41no—
571C22⋊C4×C59—41no—
572C42×C59—41no—
573C22⋊Dic59—22no—
574C22⋊Dic59—22no—
575C22⋊Dic59—22no—
576C22⋊Dic59—41no—
577C22⋊Dic59—41no—
578C22⋊Dic59—41no—
579(C2×D59)⋊C4—22no—
580(C2×D59)⋊C4—22no—
581(C2×D59)⋊C4—22no—
582(C2×D59)⋊C4—22no—
583(C2×D59)⋊C4—22no—
584(C2×D59)⋊C4—22no—
585(C2×D59)⋊C4—22no—
586(C2×D59)⋊C4—22no—
587(C2×D59)⋊C4—22no—
588(C2×D59)⋊C4—22no—
589(C2×D59)⋊C4—22no—
590(C2×D59)⋊C4—22no—
591(C2×D59)⋊C4—22no—
592(C2×D59)⋊C4—22no—
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—41no—
600(C2×D59)⋊C4—41no—
601(C2×D59)⋊C4—41no—
602(C2×D59)⋊C4—41no—
603(C2×D59)⋊C4—41no—
604(C2×D59)⋊C4—41no—
605(C2×D59)⋊C4—41no—
606(C2×D59)⋊C4—41no—
607(C2×D59)⋊C4—41no—
608(C2×D59)⋊C4—41no—
609(C2×D59)⋊C4—41no—
610(C2×D59)⋊C4—41no—
611(C2×D59)⋊C4—41no—
612(C2×D59)⋊C4—41no—
613(C2×D59)⋊C4—41no—
614(C2×D59)⋊C4—41no—
615C4⋊Dic59—22no—
616C4⋊Dic59—22no—
617C4⋊Dic59—41no—
618C4⋊Dic59—41no—
619C4⋊Dic59C2×D414yes—
620Dic59⋊C4—22no—
621Dic59⋊C4—22no—
622Dic59⋊C4—22no—
623Dic59⋊C4—22no—
624Dic59⋊C4—22no—
625Dic59⋊C4—22no—
626Dic59⋊C4—41no—
627Dic59⋊C4—41no—
628Dic59⋊C4—41no—
629Dic59⋊C4—41no—
630Dic59⋊C4—41no—
631Dic59⋊C4—41no—
632Dic59⋊C4C2×D414yes—
633Dic59⋊C4C2×D414yes—
634C4×Dic59—41no—
635C4×Dic59—41no—
636C4×Dic59—41no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C592−1+412yes—
651C23×C59C2511yescharacteristic
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—28no—
657C22×D59—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—21no—
662C22×D59—21no—
663C22×D59—21no—
664C22×D59—21no—
665C22×D59—21no—
666C22×D59—21no—
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—21no—
672C22×D59—21no—
673C22×D59—21no—
674C22×D59—21no—
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—44no—
685C22×D59—44no—
686C22×D59—44no—
687C22×D59—44no—
688C22×D59—44no—
689C22×D59—44no—
690C22×D59C22×D412yes—
691C22×D59H(5,𝔽2)12yes—
692C22×D59H(5,𝔽2)12yes—
693C22×D592−1+412yes—
694Q8×C59—44no—
695Q8×C59—44no—
696D4×C59—82no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—44no—
733C2×C4×C59—44no—
734C2×C4×C59C22×D412yes—
735C2×C4×C59C22×D412yes—
736C2×C4×C59C22×D412yes—
737C2×C4×C59H(5,𝔽2)12yes—
738C22⋊D59—44no—
739C22⋊D59—44no—
740C22⋊D59—82no—
741C22⋊D59—82no—
742C22⋊D59—82no—
743C22⋊D59—82no—
744C22⋊D59—82no—
745C22⋊D59—82no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—44no—
776C2×Dic59C22×D412yes—
777C2×Dic59C22×D412yes—
778C2×Dic59C22×D412yes—
779C2×Dic59H(5,𝔽2)12yes—
780D236—44no—
781D236—44no—
782D236—44no—
783D236—44no—
784D236—82no—
785D236—82no—
786D236—82no—
787D236—82no—
788D236—82no—
789C4×D59—28no—
790C4×D59—28no—
791C4×D59—44no—
792C4×D59—44no—
793C4×D59—44no—
794C4×D59—44no—
795C4×D59—44no—
796C4×D59—44no—
797C4×D59—44no—
798C4×D59—44no—
799C4×D59—44no—
800Dic118—44no—
801Dic118—44no—
802Dic118—44no—
803Dic118—44no—
804#36707—591nomaximal, Sylow
805C22×C59—22no—
806C22×C59—22no—
807C22×C59—22no—
808C22×C59—41no—
809C22×C59—41no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59C23×D411yescharacteristic
820C22×C59C2×H(5,𝔽2)11yescharacteristic
821C22×C59C2×H(5,𝔽2)11yescharacteristic
822C22×C59C2×H(5,𝔽2)11yescharacteristic
823C22×C59C2×H(5,𝔽2)11yescharacteristic
824C22×C59C2×2−1+411yescharacteristic
825C22×C59C2×2−1+411yescharacteristic
826C2×D59—22no—
827C2×D59—22no—
828C2×D59—22no—
829C2×D59—22no—
830C2×D59—22no—
831C2×D59—22no—
832C2×D59—22no—
833C2×D59—22no—
834C2×D59—22no—
835C2×D59—416no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—41no—
842C2×D59—41no—
843C2×D59—41no—
844C2×D59—41no—
845C2×D59—41no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59#53514yes—
862C4×C59—22no—
863C4×C59—22no—
864C4×C59—22no—
865C4×C59—22no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59—41no—
870C4×C59—41no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875Dic59—22no—
876Dic59—22no—
877Dic59—22no—
878Dic59—22no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883Dic59—41no—
884Dic59—41no—
885Dic59—41no—
886C2×#537—591no—
887C22×C22⋊Q8—591no—
888#2847—591no—
889#2847—591no—
890#2692—591no—
891#2692—591no—
892#2692—591no—
893#2692—591no—
894#2692—591no—
895#2692—591no—
896#2692—591no—
897#2692D5911yescharacteristic, complemented
898#2676—591no—
899#2676—591no—
900#2676—591no—
901#2676—591no—
902#2676—591no—
903#2676—591no—
904#2676—591no—
905#2676—591no—
906#2618—591no—
907#2618—591no—
908#2539—591no—
909#2539—591no—
910#2436—591no—
911#2436—591no—
912#2406—591no—
913#2406—591no—
914#2404—591no—
915#2404—591no—
916#2313—591no—
917C2×C59—42no—
918C2×C59—81no—
919C2×C59C2×#53511yescharacteristic
920C2×C59#348411yescharacteristic
921C2×C59#348611yescharacteristic
922C2×C59#353611yescharacteristic
923C2×C59#353611yescharacteristic
924C2×C59#353611yescharacteristic
925C2×C59#353611yescharacteristic
926D59—24no—
927D59—42no—
928D59—81no—
929D59—81no—
930D59—81no—
931C22×#41—591no—
932C22×#41—591no—
933C23×Q8—591no—
934C24×C4—591no—
935#537—1188no—
936C2×#124—591no—
937C2×#124—591no—
938C2×#124—591no—
939C2×#124—591no—
940C2×#123—591no—
941C2×#123—591no—
942C2×#123—591no—
943C2×#123—591no—
944C2×C22⋊Q8—591no—
945C2×C22⋊Q8—591no—
946C2×C22⋊Q8—591no—
947C2×C22⋊Q8—591no—
948C2×C22⋊Q8—591no—
949C2×C22⋊Q8—591no—
950C2×C22⋊Q8—591no—
951C2×C22⋊Q8—591no—
952C2×C22⋊Q8—591no—
953C2×C22⋊Q8—591no—
954C2×C22⋊Q8—1188no—
955C2×C22⋊Q8C2×D5911yescharacteristic
956C2×C22⋊Q8C2×D5911yescharacteristic, complemented
957C2×#121—591no—
958C2×#121—591no—
959C2×#121—591no—
960C2×#121—591no—
961C2×#121—591no—
962C2×#121—591no—
963C2×#121—591no—
964C2×#121—591no—
965C2×#121—591no—
966C2×#121—591no—
967C2×#121—591no—
968C2×#121—591no—
969C2×#120—591no—
970C2×#120—591no—
971C2×#120—591no—
972C2×#120—591no—
973C22×C4⋊C4—591no—
974C22×C4⋊C4—591no—
975C22×C4⋊C4—591no—
976C22×C22⋊C4—591no—
977C22×C22⋊C4—591no—
978#399—591no—
979#399—591no—
980#399—591no—
981#399C2×D5911yescharacteristic
982#398—591no—
983#398—591no—
984#398—591no—
985#398C2×D5911yescharacteristic, complemented
986#396—591no—
987#396—591no—
988#396—591no—
989#396—591no—
990#396—591no—
991#396—591no—
992#396—591no—
993#396C2×D5911yescharacteristic, complemented
994#395—591no—
995#395—591no—
996#395—591no—
997#395C2×D5911yescharacteristic, complemented
998#394—591no—
999#394—591no—
1000#394—591no—
1001#394—591no—
1002#394—591no—
1003#394—591no—
1004#394—591no—
1005#394—591no—
1006#393—591no—
1007#393—591no—
1008#393—591no—
1009#393—591no—
1010#393—591no—
1011#393—591no—
1012#393—591no—
1013#393—591no—
1014#393—591no—
1015#393—591no—
1016#393C2×D5911yescharacteristic
1017#393C2×D5911yescharacteristic, complemented
1018#392—591no—
1019#392—591no—
1020#392—591no—
1021#392—591no—
1022#392—591no—
1023#392—591no—
1024#392—591no—
1025#392—591no—
1026#391—591no—
1027#391—591no—
1028#391—591no—
1029#391C2×D5911yescharacteristic, complemented
1030#390—591no—
1031#390—591no—
1032#390—591no—
1033#390—591no—
1034#390—591no—
1035#390—591no—
1036#390—591no—
1037#390C2×D5911yescharacteristic
1038#387—591no—
1039#387—591no—
1040#387—591no—
1041#387—591no—
1042#387—591no—
1043#387—591no—
1044#387—591no—
1045#387C2×D5911yescharacteristic, complemented
1046#386—591no—
1047#386—591no—
1048#386—591no—
1049#386—591no—
1050#386—591no—
1051#386—591no—
1052#386—591no—
1053#386—591no—
1054#386—591no—
1055#386—591no—
1056#386—591no—
1057#386—591no—
1058#386—591no—
1059#386—591no—
1060#386—591no—
1061#386—591no—
1062#386—591no—
1063#386—591no—
1064#386—591no—
1065#386—591no—
1066#386—591no—
1067#386—591no—
1068#386C2×D5911yescharacteristic
1069#386C2×D5911yescharacteristic
1070#385—591no—
1071#385—591no—
1072#385—591no—
1073#385—591no—
1074#385—591no—
1075#385—591no—
1076#385—591no—
1077#385C2×D5911yescharacteristic, complemented
1078#381—591no—
1079#381—591no—
1080#380—591no—
1081#380—591no—
1082#380—591no—
1083#380—591no—
1084#380—591no—
1085#380C2×D5911yescharacteristic
1086C4×C22⋊C4—591no—
1087C4×C22⋊C4—591no—
1088C59#3670711yescharacteristic, complemented, Sylow
1089C25—591no—
1090C2×#41—1184no—
1091C2×#41—1184no—
1092C2×#41—2362no—
1093C2×#41—2362no—
1094C2×#41—2362no—
1095C2×#41—2362no—
1096C22×Q8—591no—
1097C22×Q8—591no—
1098C22×Q8—591no—
1099C22×Q8—591no—
1100C22×Q8—1184no—
1101C22×Q8—2362no—
1102C22×Q8—2362no—
1103C22×Q8C22×D5911yescharacteristic
1104C22×Q8C22×D5911yescharacteristic
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—591no—
1109C22×D4—591no—
1110C22×D4—591no—
1111C22×D4—591no—
1112C22×D4—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4—591no—
1116C22×D4—591no—
1117C22×D4—591no—
1118C22×D4—591no—
1119C22×D4—591no—
1120C22×D4—591no—
1121C22×D4—591no—
1122C22×D4C22×D5911yescharacteristic
1123C23×C4—591no—
1124C23×C4—591no—
1125C23×C4—591no—
1126C23×C4—591no—
1127C23×C4—591no—
1128C23×C4—591no—
1129C23×C4—591no—
1130C23×C4—591no—
1131C23×C4—591no—
1132C23×C4—591no—
1133C23×C4—591no—
1134C23×C4—591no—
1135C23×C4—1184no—
1136C23×C4—2362no—
1137C23×C4—2362no—
1138C23×C4C22×D5911yescharacteristic
1139C23×C4C22×D5911yescharacteristic
1140#124—2362no—
1141#124—2362no—
1142#124—2362no—
1143#124—2362no—
1144#123—2362no—
1145#123—2362no—
1146#123—2362no—
1147#123—2362no—
1148C22⋊Q8—24no—
1149C22⋊Q8—24no—
1150C22⋊Q8—1184no—
1151C22⋊Q8—1184no—
1152C22⋊Q8—1184no—
1153C22⋊Q8—1184no—
1154C22⋊Q8—1184no—
1155C22⋊Q8—1184no—
1156C22⋊Q8—1184no—
1157C22⋊Q8—1184no—
1158C22⋊Q8—1184no—
1159C22⋊Q8—1184no—
1160#121—1184no—
1161#121—1184no—
1162#121—1184no—
1163#121—1184no—
1164#121—1184no—
1165#121—1184no—
1166#121—1184no—
1167#121—1184no—
1168#121—2362no—
1169#121—2362no—
1170#121—2362no—
1171#121—2362no—
1172#120—2362no—
1173#120—2362no—
1174#120—2362no—
1175#120—2362no—
1176C2×C4⋊C4—591no—
1177C2×C4⋊C4—591no—
1178C2×C4⋊C4—591no—
1179C2×C4⋊C4—598no—
1180C2×C4⋊C4—591no—
1181C2×C4⋊C4—591no—
1182C2×C4⋊C4—591no—
1183C2×C4⋊C4—591no—
1184C2×C4⋊C4—591no—
1185C2×C4⋊C4—591no—
1186C2×C4⋊C4—591no—
1187C2×C4⋊C4—591no—
1188C2×C4⋊C4—591no—
1189C2×C4⋊C4—591no—
1190C2×C4⋊C4—591no—
1191C2×C4⋊C4—591no—
1192C2×C4⋊C4—591no—
1193C2×C4⋊C4—591no—
1194C2×C4⋊C4—591no—
1195C2×C4⋊C4—591no—
1196C2×C4⋊C4—1184no—
1197C2×C4⋊C4—1184no—
1198C2×C4⋊C4C22×D5911yescharacteristic
1199C2×C4⋊C4C22×D5911yescharacteristic
1200C2×C4⋊C4C22×D5911yescharacteristic
1201C2×C4⋊C4C22×D5911yescharacteristic
1202C2×C4⋊C4C22×D5911yescharacteristic
1203C2×C4⋊C4C22×D5911yescharacteristic
1204C2×C4⋊C4C22×D5911yescharacteristic
1205C2×C4⋊C4C22×D5911yescharacteristic
1206C2×C4⋊C4C22×D5911yescharacteristic
1207C2×C22⋊C4—591no—
1208C2×C22⋊C4—591no—
1209C2×C22⋊C4—591no—
1210C2×C22⋊C4—591no—
1211C2×C22⋊C4—591no—
1212C2×C22⋊C4—591no—
1213C2×C22⋊C4—591no—
1214C2×C22⋊C4—591no—
1215C2×C22⋊C4—591no—
1216C2×C22⋊C4—591no—
1217C2×C22⋊C4—591no—
1218C2×C22⋊C4—591no—
1219C2×C22⋊C4—591no—
1220C2×C22⋊C4—591no—
1221C2×C22⋊C4—591no—
1222C2×C22⋊C4—591no—
1223C2×C22⋊C4—591no—
1224C2×C22⋊C4—591no—
1225C2×C22⋊C4—591no—
1226C2×C22⋊C4—591no—
1227C2×C22⋊C4—591no—
1228C2×C22⋊C4—591no—
1229C2×C22⋊C4—591no—
1230C2×C22⋊C4—591no—
1231C2×C22⋊C4—591no—
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—1184no—
1250C2×C22⋊C4—1184no—
1251C2×C22⋊C4C22×D5911yescharacteristic
1252C2×C22⋊C4C22×D5911yescharacteristic
1253C2×C22⋊C4C22×D5911yescharacteristic
1254C2×C22⋊C4C22×D5911yescharacteristic
1255C2×C22⋊C4C22×D5911yescharacteristic
1256C2×C22⋊C4C22×D5911yescharacteristic
1257C2×C22⋊C4C22×D5911yescharacteristic
1258C2×C22⋊C4C22×D5911yescharacteristic
1259C2×C22⋊C4C22×D5911yescharacteristic
1260C2×C22⋊C4C22×D5911yescharacteristic
1261C2×C42—591no—
1262C2×C42—591no—
1263C2×C42—591no—
1264C2×C42C22×D5911yescharacteristic
1265#95—591no—
1266#95—591no—
1267#95—591no—
1268#95—591no—
1269#95—591no—
1270#95—591no—
1271#95—591no—
1272#95—591no—
1273#95—591no—
1274#95—591no—
1275#95—591no—
1276#95—591no—
1277#95—591no—
1278#95—591no—
1279#95—591no—
1280#95—591no—
1281#95—591no—
1282#95—591no—
1283#95—591no—
1284#95—591no—
1285#95—591no—
1286#95—591no—
1287#95C22×D5911yescharacteristic
1288#95C22×D5911yescharacteristic
1289#95C22×D5911yescharacteristic
1290#95C22×D5911yescharacteristic
1291#95C22×D5911yescharacteristic
1292#95C22×D5911yescharacteristic
1293#95C22×D5911yescharacteristic
1294#95C22×D5911yescharacteristic
1295#95C22×D5911yescharacteristic
1296#95C22×D5911yescharacteristic
1297C24—591no—
1298C24—591no—
1299C24—591no—
1300C24—591no—
1301C24—591no—
1302C24—1182no—
1303C24—1182no—
1304C24—1182no—
1305C24—1182no—
1306C24—1182no—
1307C24—2361no—
1308C24—2361no—
1309C24C23×D5911yescharacteristic
1310C24C23×D5911yescharacteristic
1311#41—23616no—
1312#41—23616no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—22no—
1316C2×Q8—41no—
1317C2×Q8—41no—
1318C2×Q8—41no—
1319C2×Q8—1182no—
1320C2×Q8—1182no—
1321C2×Q8—1182no—
1322C2×Q8—1182no—
1323C2×Q8—1182no—
1324C2×Q8—1182no—
1325C2×Q8—1182no—
1326C2×Q8—2361no—
1327C2×Q8—2361no—
1328C2×Q8—2361no—
1329C2×Q8—2361no—
1330C2×Q8—2361no—
1331C2×Q8—23616no—
1332C2×D4—22no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—1182no—
1336C2×D4—1182no—
1337C2×D4—1182no—
1338C2×D4—1182no—
1339C2×D4—1182no—
1340C2×D4—1182no—
1341C2×D4—1182no—
1342C2×D4—1182no—
1343C2×D4—1182no—
1344C2×D4—1182no—
1345C2×D4—1182no—
1346C2×D4—1182no—
1347C2×D4—1182no—
1348C2×D4—1182no—
1349C2×D4—1182no—
1350C2×D4—1182no—
1351C2×D4—1182no—
1352C2×D4—1182no—
1353C2×D4—1182no—
1354C2×D4—1182no—
1355C2×D4—1182no—
1356C2×D4—1182no—
1357C2×D4—1182no—
1358C2×D4—1182no—
1359C2×D4—1182no—
1360C2×D4—2361no—
1361C2×D4—2361no—
1362C2×D4—2361no—
1363C2×D4—2361no—
1364C2×D4—2361no—
1365C2×D4—2361no—
1366C2×D4—2361no—
1367C2×D4—2361no—
1368C2×D4—2361no—
1369C2×D4—2361no—
1370C2×D4—2361no—
1371C2×D4—2361no—
1372C2×D4—2361no—
1373C2×D4—2361no—
1374C2×D4—2361no—
1375C2×D4—2361no—
1376C2×D4—2361no—
1377C2×D4—2361no—
1378C2×D4—2361no—
1379C2×D4—2361no—
1380C2×D4—2361no—
1381C2×D4—2361no—
1382C2×D4—2361no—
1383C2×D4—2361no—
1384C2×D4—2361no—
1385C2×D4—2361no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—591no—
1393C22×C4—591no—
1394C22×C4—591no—
1395C22×C4—591no—
1396C22×C4—594no—
1397C22×C4—594no—
1398C22×C4—594no—
1399C22×C4—591no—
1400C22×C4—591no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—1182no—
1407C22×C4—1182no—
1408C22×C4—1182no—
1409C22×C4—1182no—
1410C22×C4—1182no—
1411C22×C4—1182no—
1412C22×C4—1182no—
1413C22×C4—1182no—
1414C22×C4—1182no—
1415C22×C4—1182no—
1416C22×C4—1182no—
1417C22×C4—1182no—
1418C22×C4—1182no—
1419C22×C4—1182no—
1420C22×C4—1182no—
1421C22×C4—1182no—
1422C22×C4—1182no—
1423C22×C4—1182no—
1424C22×C4—2361no—
1425C22×C4—2361no—
1426C22×C4—2361no—
1427C22×C4—2361no—
1428C22×C4—2361no—
1429C22×C4—2361no—
1430C22×C4—2361no—
1431C22×C4—2361no—
1432C22×C4—2361no—
1433C22×C4—2361no—
1434C22×C4—2361no—
1435C22×C4—2361no—
1436C22×C4—2361no—
1437C22×C4—2361no—
1438C22×C4—23616no—
1439C22×C4—2361no—
1440C22×C4C23×D5911yescharacteristic
1441C22×C4C23×D5911yescharacteristic
1442C22×C4C23×D5911yescharacteristic
1443C22×C4C23×D5911yescharacteristic
1444C22×C4C23×D5911yescharacteristic
1445C22×C4C23×D5911yescharacteristic
1446C22×C4C23×D5911yescharacteristic
1447C22×C4C23×D5911yescharacteristic
1448C22×C4C23×D5911yescharacteristic
1449C22×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451C22×C4C23×D5911yescharacteristic
1452C22×C4C23×D5911yescharacteristic
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—41no—
1458C4⋊C4—41no—
1459C4⋊C4—41no—
1460C4⋊C4—41no—
1461C4⋊C4—594no—
1462C4⋊C4—594no—
1463C4⋊C4—594no—
1464C4⋊C4—1182no—
1465C4⋊C4—1182no—
1466C4⋊C4—1182no—
1467C4⋊C4—1182no—
1468C4⋊C4—1182no—
1469C4⋊C4—1182no—
1470C4⋊C4—1182no—
1471C4⋊C4—1182no—
1472C4⋊C4—2361no—
1473C4⋊C4—2361no—
1474C4⋊C4—2361no—
1475C4⋊C4—2361no—
1476C4⋊C4—2361no—
1477C4⋊C4—2361no—
1478C4⋊C4—2361no—
1479C4⋊C4—2361no—
1480C4⋊C4D4×D5914yes—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—22no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—1182no—
1492C22⋊C4—1182no—
1493C22⋊C4—1182no—
1494C22⋊C4—1182no—
1495C22⋊C4—1182no—
1496C22⋊C4—1182no—
1497C22⋊C4—1182no—
1498C22⋊C4—1182no—
1499C22⋊C4—1182no—
1500C22⋊C4—1182no—
1501C22⋊C4—1182no—
1502C22⋊C4—1182no—
1503C22⋊C4—1182no—
1504C22⋊C4—1182no—
1505C22⋊C4—1182no—
1506C22⋊C4—1182no—
1507C22⋊C4—1182no—
1508C22⋊C4—1182no—
1509C22⋊C4—1182no—
1510C22⋊C4—1182no—
1511C22⋊C4—1182no—
1512C22⋊C4—1182no—
1513C22⋊C4—1182no—
1514C22⋊C4—2361no—
1515C22⋊C4—2361no—
1516C22⋊C4—2361no—
1517C22⋊C4—2361no—
1518C22⋊C4—2361no—
1519C22⋊C4—2361no—
1520C22⋊C4—2361no—
1521C22⋊C4—2361no—
1522C22⋊C4—2361no—
1523C22⋊C4—2361no—
1524C22⋊C4—2361no—
1525C22⋊C4—2361no—
1526C22⋊C4—2361no—
1527C22⋊C4—2361no—
1528C22⋊C4—2361no—
1529C22⋊C4—2361no—
1530C22⋊C4—2361no—
1531C22⋊C4—2361no—
1532C22⋊C4—2361no—
1533C42—41no—
1534C42—2361no—
1535C42—2361no—
1536C42—2361no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—592no—
1551C23—592no—
1552C23—592no—
1553C23—592no—
1554C23—1188no—
1555C23—1181no—
1556C23—1181no—
1557C23—1181no—
1558C23—1181no—
1559C23—1181no—
1560C23—1181no—
1561C23—1181no—
1562C23—1181no—
1563C23—1181no—
1564C23—1181no—
1565C23—1181no—
1566C23—1181no—
1567C23—1181no—
1568C23—1181no—
1569C23—1181no—
1570C23—1181no—
1571C23—1181no—
1572C23—1181no—
1573C23—1181no—
1574C23—1181no—
1575C23—1181no—
1576C23—1181no—
1577C23—1181no—
1578C23—1181no—
1579C23—1181no—
1580C23—1181no—
1581C23—1181no—
1582C23—1181no—
1583C23—1181no—
1584C23—1181no—
1585C23—1181no—
1586C23—2364no—
1587C23—2364no—
1588C23—2364no—
1589C23—2364no—
1590C23—2364no—
1591C23—2364no—
1592C23#1427377512yes—
1593C23C24×D5911yescharacteristic
1594Q8—44no—
1595Q8—44no—
1596Q8—2364no—
1597Q8—2364no—
1598Q8—2364no—
1599Q8—2364no—
1600D4—82no—
1601D4—4722no—
1602D4—4722no—
1603D4—4722no—
1604D4—4722no—
1605D4—4722no—
1606D4—4722no—
1607D4—4722no—
1608D4—4722no—
1609D4—4722no—
1610D4—4722no—
1611D4—4722no—
1612D4—2364no—
1613D4—2364no—
1614D4—2364no—
1615D4—2364no—
1616D4—2364no—
1617D4—2364no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—44no—
1654C2×C4—44no—
1655C2×C4—592no—
1656C2×C4—592no—
1657C2×C4—592no—
1658C2×C4—592no—
1659C2×C4—1188no—
1660C2×C4—1188no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—2364no—
1691C2×C4—2364no—
1692C2×C4—2364no—
1693C2×C4—2364no—
1694C2×C4—2364no—
1695C2×C4—2364no—
1696C2×C4—2364no—
1697C2×C4—2364no—
1698C2×C4—2364no—
1699C2×C4—2364no—
1700C2×C4C2×D4×D5912yes—
1701C2×C4C2×D4×D5912yes—
1702C2×C4C2×D4×D5912yes—
1703C2×C4#1427377312yes—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—594no—
1719C22—1182no—
1720C22—1182no—
1721C22—1182no—
1722C22—1182no—
1723C22—1182no—
1724C22—1182no—
1725C22—1182no—
1726C22—1182no—
1727C22—1182no—
1728C22—23616no—
1729C22—2361no—
1730C22—2361no—
1731C22—2361no—
1732C22—2361no—
1733C22—2361no—
1734C22—2361no—
1735C22—2361no—
1736C22—2361no—
1737C22—2361no—
1738C22—2361no—
1739C22—2361no—
1740C22—2361no—
1741C22—2361no—
1742C22—2361no—
1743C22—2361no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22—2361no—
1754C22C22×D4×D5911yescharacteristic
1755C22H(5,𝔽2)×D5911yescharacteristic
1756C22H(5,𝔽2)×D5911yescharacteristic
1757C22H(5,𝔽2)×D5911yescharacteristic
1758C22C2×#1427377311yescharacteristic
1759C222−1+4×D5911yescharacteristic
1760C22C2×#1427377511yescharacteristic
1761C4—22no—
1762C4—22no—
1763C4—22no—
1764C4—22no—
1765C4—41no—
1766C4—41no—
1767C4—41no—
1768C4—41no—
1769C4—41no—
1770C4—41no—
1771C4—41no—
1772C4—41no—
1773C4—41no—
1774C4—1182no—
1775C4—1182no—
1776C4—1182no—
1777C4—1182no—
1778C4—2361no—
1779C4—2361no—
1780C4—2361no—
1781C4—2361no—
1782C4—2361no—
1783C4—2361no—
1784C4—2361no—
1785C2—42no—
1786C2—81no—
1787C2—1184no—
1788C2—4721no—
1789C2—4721no—
1790C2—4721no—
1791C2—2362no—
1792C2#535×D5911yescharacteristic
1793C2#2143772611yescharacteristic
1794C2#2143774611yescharacteristic
1795C2#2143831511yescharacteristic
1796C2#2143832111yescharacteristic
1797C2#2143832211yescharacteristic
1798C2#2143832411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2692C2
hypercenter#2692D59
hypocenterC59#36707
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2692

Complements

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

NH ≅ G/Ntype
1. C2×#16837982C2semidirect
2. C2×C22⋊Q8×D59C2semidirect
3. #21432379C2semidirect
4. #21432377C2semidirect
5. #21430599C2semidirect
6. #21430597C2semidirect
7. #21430594C2semidirect
8. #21430592C2semidirect
9. #21430587C2semidirect
10. #21430586C2semidirect
11. #21430585C2semidirect
12. #21430403C2semidirect
13. #21430401C2semidirect
14. #21430400C2semidirect
15. #21430398C2semidirect
16. #21430396C2semidirect
17. #21430395C2semidirect
18. #21430394C2semidirect
19. #21430393C2semidirect
20. #21429843C2semidirect
21. #21429839C2semidirect
22. #21429025C2semidirect
23. #21429023C2semidirect
24. #21427753C2semidirect
25. #21427749C2semidirect
26. #21427432C2semidirect
27. #21427429C2semidirect
28. #21427416C2semidirect
29. #21427413C2semidirect
30. #21426695C2semidirect
31. C59×#2692C2semidirect
37. C2×#14273716C22semidirect
38. C2×#14273715C22semidirect
39. C2×#14273713C22semidirect
40. C2×#14273713C22semidirect
49. C2×#14273705C22semidirect
50. C2×#14273705C22semidirect
54. C2×#14273703C22semidirect
59. C2×#14273702C22semidirect
61. C2×#14273701C22semidirect
65. C2×#14273700C22semidirect
66. C2×#14273700C22semidirect
80. #16837336C22semidirect
81. #16837335C22semidirect
82. #16837333C22semidirect
83. #16837326C22semidirect
84. #16837326C22semidirect
85. #16837325C22semidirect
86. #16837324C22semidirect
87. #16837324C22semidirect
88. #16837324C22semidirect
89. #16837324C22semidirect
90. #16837323C22semidirect
91. #16837322C22semidirect
92. #16837321C22semidirect
93. #16837320C22semidirect
94. #16837320C22semidirect
95. #16837319C22semidirect
96. #16837319C22semidirect
97. #16837318C22semidirect
98. #16837318C22semidirect
99. #16837317C22semidirect
100. #16837317C22semidirect
102. #16837315C22semidirect
103. #16837315C22semidirect
104. #16837315C22semidirect
105. #16837315C22semidirect
106. #16837315C22semidirect
108. #16837314C22semidirect
110. #16837313C22semidirect
119. #16837307C22semidirect
120. #16837306C22semidirect
121. #16837306C22semidirect
129. #16837289C22semidirect
130. #16837288C22semidirect
131. #16837287C22semidirect
132. #16837286C22semidirect
133. #16837285C22semidirect
134. #16837284C22semidirect
135. #16837283C22semidirect
158. #16837276C22semidirect
159. #16837276C22semidirect
160. #16837276C22semidirect
161. #16837275C22semidirect
162. #16837273C22semidirect
163. #16837273C22semidirect
164. #16837273C22semidirect
175. C2×C22⋊Q8×C59C22semidirect
177. C59×#398C22semidirect
178. C59×#396C22semidirect
179. C59×#395C22semidirect
181. C59×#393C22semidirect
182. C59×#391C22semidirect
184. C59×#387C22semidirect
187. C59×#385C22semidirect
290. C4⋊C4×D59D4semidirect
897. #2692D59semidirect
956. C2×C22⋊Q8C2×D59semidirect
985. #398C2×D59semidirect
993. #396C2×D59semidirect
997. #395C2×D59semidirect
1017. #393C2×D59semidirect
1029. #391C2×D59semidirect
1045. #387C2×D59semidirect
1077. #385C2×D59semidirect
1088. C59#36707semidirect

Maximal subgroups

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

subgroupindex
C2×#168379822
C2×C22⋊Q8×D592
#214323792
#214323772
#214305992
#214305972
#214305942
#214305922
#214305872
#214305862
#214305852
#214304032
#214304012
#214304002
#214303982
#214303962
#214303952
#214303942
#214303932
#214298432
#214298392
#214290252
#214290232
#214277532
#214277492
#214274322
#214274292
#214274162
#214274132
#214266952
C59×#26922
#3670759