Finite Group Databasebeta

← #28795783

Subgroups — #28795783

Order 15104.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837988C211yesmaximal, characteristic, complemented
2C2×#16837910C211yesmaximal, characteristic, complemented
3#21432391C211yesmaximal, characteristic, complemented
4#21432375C211yesmaximal, characteristic, complemented
5#21430765C211yesmaximal, characteristic, complemented
6#21430722C211yesmaximal, characteristic, complemented
7#21430699C211yesmaximal, characteristic, complemented
8#21430678C211yesmaximal, characteristic, complemented
9#21430520C211yesmaximal, characteristic, complemented
10#21430449C211yesmaximal, characteristic, complemented
11#21430448C211yesmaximal, characteristic, complemented
12#21430429C211yesmaximal, characteristic, complemented
13#21430424C211yesmaximal, characteristic, complemented
14#21430418C211yesmaximal, characteristic, complemented
15#21430418C211yesmaximal, characteristic, complemented
16#21430354C211yesmaximal, characteristic, complemented
17#21430323C211yesmaximal, characteristic, complemented
18#21430315C211yesmaximal, characteristic, complemented
19#21430308C211yesmaximal, characteristic, complemented
20#21429985C211yesmaximal, characteristic, complemented
21#21429942C211yesmaximal, characteristic, complemented
22#21429780C211yesmaximal, characteristic, complemented
23#21429719C211yesmaximal, characteristic, complemented
24#21429686C211yesmaximal, characteristic, complemented
25#21429682C211yesmaximal, characteristic, complemented
26#21429062C211yesmaximal, characteristic, complemented
27#21428987C211yesmaximal, characteristic, complemented
28#21427437C211yesmaximal, characteristic, complemented
29#21427410C211yesmaximal, characteristic, complemented
30#21426735C211yesmaximal, characteristic, complemented
31C59×#2682C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic, complemented
34#16837988—28no—
35C2×#14273723C2211yescharacteristic
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273713C2211yescharacteristic
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273713C2211yescharacteristic, complemented
41#16837910—28no—
42C2×#14273712C2211yescharacteristic
43C2×#14273712C2211yescharacteristic
44C2×#14273712C2211yescharacteristic
45C2×#14273710C2211yescharacteristic
46C2×#14273707C2211yescharacteristic, complemented
47C2×#14273706C2211yescharacteristic, complemented
48C2×#14273705C2211yescharacteristic, complemented
49C2×#14273705C2211yescharacteristic, complemented
50C2×#14273701C2211yescharacteristic
51C2×#14273700C2211yescharacteristic
52C2×#14273700C2211yescharacteristic
53C2×#14273700C2211yescharacteristic
54C2×#14273698C2211yescharacteristic
55C2×#14273698C2211yescharacteristic
56C2×#14273697C2211yescharacteristic
57C2×#14273697C2211yescharacteristic
58C2×#14273697C2211yescharacteristic
59C2×#14273697C2211yescharacteristic
60C2×#14273695C2211yescharacteristic
61C2×#14273695C2211yescharacteristic
62C2×#14273695C2211yescharacteristic, complemented
63C2×#14273695C2211yescharacteristic, complemented
64C2×#14273695C2211yescharacteristic, complemented
65C2×#14273695C2211yescharacteristic, complemented
66C2×#14273689C2211yescharacteristic
67C2×#14273689C2211yescharacteristic
68C2×C4×C22⋊D59C2211yescharacteristic, complemented
69C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
70C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
71C2×#14273683C2211yescharacteristic, complemented
72C2×C22⋊C4×D59C2211yescharacteristic, complemented
73#16837342C2211yescharacteristic, complemented
74#16837338C2211yescharacteristic, complemented
75#16837335C2211yescharacteristic, complemented
76#16837335C2211yescharacteristic, complemented
77#16837332C2211yescharacteristic, complemented
78#16837330C2211yescharacteristic, complemented
79#16837328C2211yescharacteristic, complemented
80#16837328C2211yescharacteristic, complemented
81#16837325C2211yescharacteristic, complemented
82#16837325C2211yescharacteristic, complemented
83#16837324C2211yescharacteristic, complemented
84#16837324C2211yescharacteristic, complemented
85#16837322C2211yescharacteristic, complemented
86#16837320C2211yescharacteristic
87#16837320C2211yescharacteristic
88#16837319C2211yescharacteristic
89#16837319C2211yescharacteristic
90#16837318C2211yescharacteristic
91#16837318C2211yescharacteristic, complemented
92#16837318C2211yescharacteristic, complemented
93#16837318C2211yescharacteristic, complemented
94#16837318C2211yescharacteristic, complemented
95#16837318C2211yescharacteristic, complemented
96#16837318C2211yescharacteristic, complemented
97#16837317C2211yescharacteristic
98#16837317C2211yescharacteristic
99#16837317C2211yescharacteristic, complemented
100#16837317C2211yescharacteristic, complemented
101#16837317C2211yescharacteristic, complemented
102#16837316C2211yescharacteristic, complemented
103#16837315C2211yescharacteristic, complemented
104#16837314C2211yescharacteristic, complemented
105#16837314C2211yescharacteristic, complemented
106#16837311C2211yescharacteristic
107#16837311C2211yescharacteristic
108#16837310C2211yescharacteristic
109#16837310C2211yescharacteristic
110#16837310C2211yescharacteristic
111#16837310C2211yescharacteristic
112#16837310C2211yescharacteristic
113#16837310C2211yescharacteristic, complemented
114#16837310C2211yescharacteristic, complemented
115#16837307C2211yescharacteristic, complemented
116#16837306C2211yescharacteristic, complemented
117#16837305C2211yescharacteristic
118#16837305C2211yescharacteristic, complemented
119#16837304C2211yescharacteristic
120#16837303C2211yescharacteristic
121#16837302C2211yescharacteristic
122#16837302C2211yescharacteristic
123#16837302C2211yescharacteristic, complemented
124#16837301C2211yescharacteristic, complemented
125#16837299C2211yescharacteristic, complemented
126#16837296C2211yescharacteristic, complemented
127#16837296C2211yescharacteristic, complemented
128#16837296C2211yescharacteristic, complemented
129#16837296C2211yescharacteristic, complemented
130#16837295C2211yescharacteristic, complemented
131#16837294C2211yescharacteristic, complemented
132#16837294C2211yescharacteristic, complemented
133#16837294C2211yescharacteristic, complemented
134#16837293C2211yescharacteristic, complemented
135#16837293C2211yescharacteristic, complemented
136#16837292C2211yescharacteristic, complemented
137#16837292C2211yescharacteristic, complemented
138#16837292C2211yescharacteristic, complemented
139#16837290C2211yescharacteristic, complemented
140#16837285C2211yescharacteristic, complemented
141#16837283C2211yescharacteristic, complemented
142#16837282C2211yescharacteristic
143#16837282C2211yescharacteristic, complemented
144#16837282C2211yescharacteristic, complemented
145#16837282C2211yescharacteristic, complemented
146#16837281C2211yescharacteristic
147#16837281C2211yescharacteristic, complemented
148#16837280C2211yescharacteristic
149#16837280C2211yescharacteristic
150#16837279C2211yescharacteristic
151#16837279C2211yescharacteristic, complemented
152#16837278C2211yescharacteristic
153#16837278C2211yescharacteristic
154#16837278C2211yescharacteristic
155#16837278C2211yescharacteristic, complemented
156#16837278C2211yescharacteristic, complemented
157#16837278C2211yescharacteristic, complemented
158#16837274C2211yescharacteristic, complemented
159#16837274C2211yescharacteristic, complemented
160#16837273C2211yescharacteristic, complemented
161#16837273C2211yescharacteristic, complemented
162#16837264C2211yescharacteristic, complemented
163#16837264C2211yescharacteristic, complemented
164#16837264C2211yescharacteristic, complemented
165#16837264C2211yescharacteristic, complemented
166#16837262C2211yescharacteristic, complemented
167#16837259C2211yescharacteristic, complemented
168#16837259C2211yescharacteristic, complemented
169#16837259C2211yescharacteristic, complemented
170#16837257C2211yescharacteristic, complemented
171#16837257C2211yescharacteristic, complemented
172C4⋊C4×Dic59C2211yescharacteristic, complemented
173#16837248C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic, complemented
175C2×#123×C59C2211yescharacteristic, complemented
176C2×#121×C59C2211yescharacteristic
177C2×#121×C59C2211yescharacteristic, complemented
178C59×#396C2211yescharacteristic, complemented
179C59×#396C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic
181C59×#394C2211yescharacteristic, complemented
182C59×#392C2211yescharacteristic
183C59×#392C2211yescharacteristic, complemented
184C59×#390C2211yescharacteristic, complemented
185C59×#390C2211yescharacteristic, complemented
186C59×#389C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic, complemented
188C59×#385C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C2×#11745687—24no—
192C2×#11745687—42no—
193C2×#11745687—42no—
194C22×Dic118C2311yescharacteristic
195C22×Dic118C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
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
211C22×C22⋊D59C2311yescharacteristic
212C23×Dic59C2311yescharacteristic
213C23×Dic59C2311yescharacteristic
214C22×C4×D59—24no—
215C22×C4×D59—42no—
216C22×C4×D59—42no—
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223#14273723—42no—
224#14273722—24no—
225#14273720—24no—
226#14273713—24no—
227#14273713—24no—
228#14273713—42no—
229#14273712—24no—
230#14273712—42no—
231#14273712—42no—
232#14273710—24no—
233#14273707—24no—
234#14273706—42no—
235#14273705—24no—
236#14273705—24no—
237#14273701—24no—
238#14273700—24no—
239#14273700—24no—
240#14273700—24no—
241#14273698—24no—
242#14273698—42no—
243#14273697—24no—
244#14273697—24no—
245#14273697—42no—
246#14273697—42no—
247#14273695—24no—
248#14273695—24no—
249#14273695—42no—
250#14273695—42no—
251#14273695—42no—
252#14273695—42no—
253#14273689—24no—
254#14273689D418yescomplemented
255C4×C22⋊D59—24no—
256(C22⋊D59)⋊C4—24no—
257(C22⋊D59)⋊C4—24no—
258#14273683—24no—
259C2×C4⋊Dic59C2311yescharacteristic
260C2×C4⋊Dic59C2311yescharacteristic
261C2×C4⋊Dic59C2311yescharacteristic
262C2×C4⋊Dic59C2311yescharacteristic
263C2×C4⋊Dic59C2311yescharacteristic
264C2×C4⋊Dic59C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
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
321C22⋊C4×D59—24no—
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
327C2×C4×Dic59C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
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
352C22×D4×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C22×D4×C59C2311yescharacteristic
357C22×D4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359C23×C4×C59C2311yescharacteristic
360#123×C59—24no—
361#123×C59—24no—
362#121×C59—42no—
363#121×C59—42no—
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊C4×C59C2311yescharacteristic
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×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C42×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C24×C59C2411yescharacteristic
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—22no—
399C23×D59—41no—
400C23×D59—41no—
401C23×D59—41no—
402C23×D59—41no—
403C23×D59—41no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59—41no—
407C23×D59—41no—
408C23×D59—41no—
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C23×D59C2411yescharacteristic
412C23×D59C2411yescharacteristic
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—22no—
417C2×D4×C59—22no—
418C2×D4×C59—41no—
419C2×D4×C59—41no—
420C2×D4×C59—41no—
421C2×D4×C59—41no—
422C2×D4×C59—41no—
423C2×D4×C59—41no—
424C2×D4×C59—41no—
425C2×D4×C59—41no—
426C2×D4×C59—41no—
427C2×D4×C59—41no—
428C2×D4×C59—41no—
429C2×D4×C59—41no—
430C2×D4×C59—41no—
431C22×C4×C59—22no—
432C22×C4×C59—22no—
433C22×C4×C59—22no—
434C22×C4×C59—41no—
435C22×C4×C59—41no—
436C22×C4×C59—41no—
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C22×C4×C59C2411yescharacteristic
443C22×C4×C59C2411yescharacteristic
444C22×C4×C59C2411yescharacteristic
445C22×C4×C59C2411yescharacteristic
446C22×C4×C59C2411yescharacteristic
447C22×C4×C59C2411yescharacteristic
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—22no—
456C2×C22⋊D59—22no—
457C2×C22⋊D59—22no—
458C2×C22⋊D59—22no—
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—22no—
462C2×C22⋊D59—41no—
463C2×C22⋊D59—41no—
464C2×C22⋊D59—41no—
465C2×C22⋊D59—41no—
466C2×C22⋊D59—41no—
467C2×C22⋊D59—41no—
468C2×C22⋊D59—41no—
469C2×C22⋊D59—41no—
470C2×C22⋊D59—41no—
471C2×C22⋊D59—41no—
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—
484C22×Dic59—22no—
485C22×Dic59—22no—
486C22×Dic59—22no—
487C22×Dic59—22no—
488C22×Dic59—41no—
489C22×Dic59—41no—
490C22×Dic59C2411yescharacteristic
491C22×Dic59C2411yescharacteristic
492C22×Dic59C2411yescharacteristic
493C22×Dic59C2411yescharacteristic
494C22×Dic59C2411yescharacteristic
495C22×Dic59C2411yescharacteristic
496C22×Dic59C2411yescharacteristic
497C22×Dic59C2411yescharacteristic
498C22×Dic59C2411yescharacteristic
499C22×Dic59C2411yescharacteristic
500C22×Dic59C2411yescharacteristic
501C22×Dic59C2411yescharacteristic
502#11745687—416no—
503C2×D236—22no—
504C2×D236—22no—
505C2×D236—22no—
506C2×D236—22no—
507C2×D236—41no—
508C2×D236—41no—
509C2×D236—41no—
510C2×D236—41no—
511C2×D236—41no—
512C2×D236—41no—
513C2×D236—41no—
514C2×D236C2×D414yes—
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—41no—
522C2×C4×D59—41no—
523C2×C4×D59—41no—
524C2×C4×D59—41no—
525C2×C4×D59—41no—
526C2×C4×D59—41no—
527C2×C4×D59—41no—
528C2×C4×D59—41no—
529C2×C4×D59—416no—
530C2×C4×D59—41no—
531C2×C4×D59—41no—
532C2×C4×D59C2×D414yes—
533C2×C4×D59C2×D414yes—
534C2×Dic118—22no—
535C2×Dic118—22no—
536C2×Dic118—22no—
537C2×Dic118—41no—
538C2×Dic118—41no—
539C2×Dic118—41no—
540C4⋊C4×C59—22no—
541C4⋊C4×C59—22no—
542C4⋊C4×C59—41no—
543C4⋊C4×C59—41no—
544C4⋊C4×C59—41no—
545C4⋊C4×C59—41no—
546C4⋊C4×C59—41no—
547C4⋊C4×C59C2×D414yes—
548C22⋊C4×C59—22no—
549C22⋊C4×C59—22no—
550C22⋊C4×C59—22no—
551C22⋊C4×C59—22no—
552C22⋊C4×C59—22no—
553C22⋊C4×C59—22no—
554C22⋊C4×C59—22no—
555C22⋊C4×C59—41no—
556C22⋊C4×C59—41no—
557C22⋊C4×C59—41no—
558C22⋊C4×C59—41no—
559C22⋊C4×C59—41no—
560C22⋊C4×C59—41no—
561C22⋊C4×C59—41no—
562C42×C59—41no—
563C22⋊Dic59—22no—
564C22⋊Dic59—22no—
565C22⋊Dic59—22no—
566C22⋊Dic59—22no—
567C22⋊Dic59—22no—
568C22⋊Dic59—22no—
569C22⋊Dic59—41no—
570C22⋊Dic59—41no—
571C22⋊Dic59—41no—
572C22⋊Dic59—41no—
573C22⋊Dic59—41no—
574C22⋊Dic59—41no—
575C22⋊Dic59—41no—
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—41no—
594(C2×D59)⋊C4—41no—
595(C2×D59)⋊C4—41no—
596(C2×D59)⋊C4—41no—
597(C2×D59)⋊C4—41no—
598(C2×D59)⋊C4—41no—
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)⋊C4C2×D414yes—
608(C2×D59)⋊C4C2×D414yes—
609C4⋊Dic59—22no—
610C4⋊Dic59—22no—
611C4⋊Dic59—41no—
612C4⋊Dic59—41no—
613C4⋊Dic59—41no—
614C4⋊Dic59—41no—
615Dic59⋊C4—22no—
616Dic59⋊C4—22no—
617Dic59⋊C4—22no—
618Dic59⋊C4—22no—
619Dic59⋊C4—22no—
620Dic59⋊C4—22no—
621Dic59⋊C4—22no—
622Dic59⋊C4—41no—
623Dic59⋊C4—41no—
624Dic59⋊C4—41no—
625C4×Dic59—22no—
626C4×Dic59—22no—
627C4×Dic59—41no—
628C4×Dic59—41no—
629C4×Dic59—41no—
630C4×Dic59C2×D414yes—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
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×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59H(5,𝔽2)12yes—
659C23×C59C2511yescharacteristic
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—21no—
685C22×D59—44no—
686C22×D59—44no—
687C22×D59—44no—
688C22×D59—44no—
689C22×D59—44no—
690C22×D59—44no—
691C22×D59—44no—
692C22×D59—44no—
693C22×D59—82no—
694C22×D59—82no—
695C22×D59—82no—
696C22×D59—82no—
697C22×D59—82no—
698C22×D59—82no—
699C22×D59C22×D412yes—
700C22×D59C22×D412yes—
701C22×D59H(5,𝔽2)12yes—
702D4×C59—44no—
703D4×C59—82no—
704D4×C59—82no—
705D4×C59—82no—
706D4×C59—82no—
707D4×C59—82no—
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—21no—
733C2×C4×C59—21no—
734C2×C4×C59—21no—
735C2×C4×C59—21no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—44no—
739C2×C4×C59—82no—
740C2×C4×C59C22×D412yes—
741C2×C4×C59C22×D412yes—
742C2×C4×C59C22×D412yes—
743C22⋊D59—44no—
744C22⋊D59—44no—
745C22⋊D59—44no—
746C22⋊D59—44no—
747C22⋊D59—44no—
748C22⋊D59—82no—
749C22⋊D59—82no—
750C22⋊D59—82no—
751C22⋊D59—82no—
752C22⋊D59—82no—
753C22⋊D59—82no—
754C22⋊D59—82no—
755C2×Dic59—28no—
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—21no—
776C2×Dic59—21no—
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—44no—
790C2×Dic59C22×D412yes—
791C2×Dic59C22×D412yes—
792C2×Dic59H(5,𝔽2)12yes—
793D236—44no—
794D236—44no—
795D236—82no—
796D236—82no—
797C4×D59—44no—
798C4×D59—44no—
799C4×D59—44no—
800C4×D59—44no—
801C4×D59—44no—
802C4×D59—82no—
803Dic118—44no—
804Dic118—82no—
805#36724—591nomaximal, Sylow
806C22×C59—22no—
807C22×C59—22no—
808C22×C59—22no—
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×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59C23×D411yescharacteristic
835C22×C59C2×H(5,𝔽2)11yescharacteristic
836C22×C59C2×H(5,𝔽2)11yescharacteristic
837C22×C59C2×H(5,𝔽2)11yescharacteristic
838C22×C59#58511yescharacteristic
839C22×C59#58511yescharacteristic
840C22×C59#58511yescharacteristic
841C2×D59—22no—
842C2×D59—22no—
843C2×D59—22no—
844C2×D59—22no—
845C2×D59—22no—
846C2×D59—22no—
847C2×D59—22no—
848C2×D59—22no—
849C2×D59—22no—
850C2×D59—416no—
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—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C2×D59—41no—
869C2×D59—41no—
870C2×D59—88no—
871C4×C59—22no—
872C4×C59—22no—
873C4×C59—22no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59—41no—
879C4×C59—41no—
880C4×C59—41no—
881C4×C59—41no—
882Dic59—22no—
883Dic59—22no—
884Dic59—22no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891Dic59—41no—
892Dic59—41no—
893Dic59—41no—
894C2×#538—591no—
895C2×#525—591no—
896#2849—591no—
897#2847—591no—
898#2705—591no—
899#2702—591no—
900#2700—591no—
901#2699—591no—
902#2687—591no—
903#2682D5911yescharacteristic, complemented
904#2681—591no—
905#2681—591no—
906#2679—591no—
907#2678—591no—
908#2678—591no—
909#2678—591no—
910#2672—591no—
911#2670—591no—
912#2669—591no—
913#2669—591no—
914#2635—591no—
915#2630—591no—
916#2610—591no—
917#2603—591no—
918#2601—591no—
919#2600—591no—
920#2544—591no—
921#2534—591no—
922#2407—591no—
923#2404—591no—
924#2319—591no—
925C2×C59—42no—
926C2×C59—81no—
927C2×C59—81no—
928C2×C59—81no—
929C2×C59#344911yescharacteristic
930C2×C59#348411yescharacteristic
931C2×C59#348811yescharacteristic
932C2×C59#353311yescharacteristic
933C2×C59#353411yescharacteristic
934C2×C59#354011yescharacteristic
935C2×C59#354211yescharacteristic
936D59—42no—
937D59—42no—
938D59—42no—
939D59—81no—
940C22×#41—591no—
941C24×C4—591no—
942#538—1188no—
943C2×#127—591no—
944C2×#126—591no—
945C2×#126—591no—
946C2×#124—591no—
947C2×#124—591no—
948C2×#124—591no—
949#525—1188no—
950C2×#123—591no—
951C2×#123—591no—
952C2×#123—591no—
953C2×#123—591no—
954C2×#123C2×D5911yescharacteristic, complemented
955C2×#123C2×D5911yescharacteristic, complemented
956C2×C22⋊Q8—591no—
957C2×C22⋊Q8—591no—
958C2×C22⋊Q8—591no—
959C2×C22⋊Q8—591no—
960C2×#121—591no—
961C2×#121—591no—
962C2×#121—591no—
963C2×#121—591no—
964C2×#121—591no—
965C2×#121—591no—
966C2×#121C2×D5911yescharacteristic
967C2×#121C2×D5911yescharacteristic, complemented
968C2×#120—591no—
969C2×#120—591no—
970C2×#120—591no—
971C2×#120—591no—
972C2×#120—591no—
973C2×#120—591no—
974C2×#120—591no—
975C2×#120—591no—
976C2×#120—591no—
977C2×#120—591no—
978C2×C4×D4—591no—
979C2×C4×D4—591no—
980C2×C4×D4—591no—
981C2×C4×D4—591no—
982C2×C4×D4—591no—
983C2×#117—591no—
984C22×C22⋊C4—591no—
985#400—591no—
986#399—591no—
987#398—591no—
988#398—591no—
989#398—591no—
990#397—591no—
991#397—591no—
992#397—591no—
993#396—591no—
994#396—591no—
995#396—591no—
996#396—591no—
997#396C2×D5911yescharacteristic, complemented
998#396C2×D5911yescharacteristic, complemented
999#395—591no—
1000#394—591no—
1001#394—591no—
1002#394—591no—
1003#394—591no—
1004#394—591no—
1005#394—591no—
1006#394—591no—
1007#394—591no—
1008#394—591no—
1009#394—591no—
1010#394—591no—
1011#394—591no—
1012#394—591no—
1013#394—591no—
1014#394—591no—
1015#394—591no—
1016#394—591no—
1017#394C2×D5911yescharacteristic
1018#394C2×D5911yescharacteristic, complemented
1019#393—591no—
1020#393—591no—
1021#393—591no—
1022#392—591no—
1023#392—591no—
1024#392—591no—
1025#392—591no—
1026#392—591no—
1027#392—591no—
1028#392—591no—
1029#392—591no—
1030#392—591no—
1031#392C2×D5911yescharacteristic
1032#392C2×D5911yescharacteristic, complemented
1033#391—591no—
1034#391—591no—
1035#390—591no—
1036#390—591no—
1037#390—591no—
1038#390—591no—
1039#390—591no—
1040#390—591no—
1041#390—591no—
1042#390C2×D5911yescharacteristic, complemented
1043#390C2×D5911yescharacteristic, complemented
1044#389—591no—
1045#389—591no—
1046#389C2×D5911yescharacteristic, complemented
1047#388—591no—
1048#388—591no—
1049#388—591no—
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#388—591no—
1059#388—591no—
1060#388—591no—
1061#387—591no—
1062#387—591no—
1063#386—591no—
1064#386—591no—
1065#386—591no—
1066#386—591no—
1067#386—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#385—591no—
1080#385—591no—
1081#385—591no—
1082#385—591no—
1083#385C2×D5911yescharacteristic, complemented
1084#385C2×D5911yescharacteristic, complemented
1085#381—591no—
1086#381—591no—
1087#381—591no—
1088#381—591no—
1089#380—591no—
1090#380—591no—
1091#380—591no—
1092#380—591no—
1093#379—591no—
1094#379—591no—
1095C4×C4⋊C4—591no—
1096#376—591no—
1097C59#3672411yescharacteristic, complemented, Sylow
1098C25—591no—
1099C25—591no—
1100C2×#41—1184no—
1101C2×#41—2362no—
1102C2×#41—2362no—
1103C22×Q8—591no—
1104C22×Q8—591no—
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×D4C22×D5911yescharacteristic
1122C22×D4C22×D5911yescharacteristic
1123C22×D4C22×D5911yescharacteristic
1124C22×D4C22×D5911yescharacteristic
1125C22×D4C22×D5911yescharacteristic
1126C22×D4C22×D5911yescharacteristic
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#127—2362no—
1141#126—1184no—
1142#126—1184no—
1143#124—1184no—
1144#124—1184no—
1145#124—2362no—
1146#123—24no—
1147#123—24no—
1148#123—1184no—
1149#123—1184no—
1150#123—2362no—
1151#123—2362no—
1152C22⋊Q8—1184no—
1153C22⋊Q8—1184no—
1154C22⋊Q8—1184no—
1155C22⋊Q8—2362no—
1156#121—42no—
1157#121—42no—
1158#121—1184no—
1159#121—1184no—
1160#121—1184no—
1161#121—1184no—
1162#121—1184no—
1163#121—2362no—
1164#120—1184no—
1165#120—1184no—
1166#120—1184no—
1167#120—1184no—
1168#120—2362no—
1169#120—2362no—
1170#120—2362no—
1171#120—2362no—
1172#120—2362no—
1173#120—2362no—
1174C4×D4—598no—
1175C4×D4—1184no—
1176C4×D4—1184no—
1177C4×D4—1184no—
1178C4×D4—1184no—
1179#117—1184no—
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⋊C4C22×D5911yescharacteristic
1197C2×C4⋊C4C22×D5911yescharacteristic
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×C22⋊C4—591no—
1205C2×C22⋊C4—591no—
1206C2×C22⋊C4—591no—
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—591no—
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×C22⋊C4C22×D5911yescharacteristic
1262C2×C22⋊C4C22×D5911yescharacteristic
1263C2×C22⋊C4C22×D5911yescharacteristic
1264C2×C22⋊C4C22×D5911yescharacteristic
1265C2×C42—591no—
1266C2×C42—591no—
1267C2×C42—591no—
1268C2×C42—591no—
1269C2×C42—591no—
1270C2×C42—591no—
1271C2×C42C22×D5911yescharacteristic
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#95—591no—
1288#95—591no—
1289#95—591no—
1290#95—591no—
1291#95—591no—
1292#95—591no—
1293#95—591no—
1294#95—591no—
1295#95—591no—
1296#95C22×D5911yescharacteristic
1297#95C22×D5911yescharacteristic
1298#95C22×D5911yescharacteristic
1299#95C22×D5911yescharacteristic
1300C24—591no—
1301C24—591no—
1302C24—591no—
1303C24—591no—
1304C24—1182no—
1305C24—1182no—
1306C24—1182no—
1307C24—1182no—
1308C24—2361no—
1309C24—2361no—
1310C24—2361no—
1311C24—2361no—
1312C24—2361no—
1313C24—2361no—
1314C24—2361no—
1315C24—2361no—
1316C24—2361no—
1317C24—2361no—
1318C24C23×D5911yescharacteristic
1319C24C23×D5911yescharacteristic
1320C24C23×D5911yescharacteristic
1321C24C23×D5911yescharacteristic
1322#41—23616no—
1323C2×Q8—1182no—
1324C2×Q8—1182no—
1325C2×Q8—1182no—
1326C2×Q8—2361no—
1327C2×Q8—2361no—
1328C2×Q8—2361no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—594no—
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—1182no—
1361C2×D4—1182no—
1362C2×D4—1182no—
1363C2×D4—1182no—
1364C2×D4—1182no—
1365C2×D4—1182no—
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—
1386C2×D4—2361no—
1387C2×D4—2361no—
1388C2×D4—2361no—
1389C2×D4—2361no—
1390C2×D4—2361no—
1391C2×D4—2361no—
1392C2×D4—2361no—
1393C2×D4—2361no—
1394C2×D4—2361no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—594no—
1405C22×C4—594no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
1410C22×C4—591no—
1411C22×C4—591no—
1412C22×C4—591no—
1413C22×C4—591no—
1414C22×C4—591no—
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—1182no—
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—23616no—
1436C22×C4—2361no—
1437C22×C4—2361no—
1438C22×C4C23×D5911yescharacteristic
1439C22×C4C23×D5911yescharacteristic
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
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—1182no—
1457C4⋊C4—1182no—
1458C4⋊C4—1182no—
1459C4⋊C4—1182no—
1460C4⋊C4—1182no—
1461C4⋊C4—1182no—
1462C4⋊C4—1182no—
1463C4⋊C4—1182no—
1464C4⋊C4—1182no—
1465C4⋊C4—2361no—
1466C4⋊C4—2361no—
1467C4⋊C4—2361no—
1468C4⋊C4—2361no—
1469C4⋊C4—2361no—
1470C4⋊C4—2361no—
1471C4⋊C4—2361no—
1472C4⋊C4D4×D5914yes—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—594no—
1488C22⋊C4—594no—
1489C22⋊C4—1182no—
1490C22⋊C4—1182no—
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—2361no—
1510C22⋊C4—2361no—
1511C22⋊C4—2361no—
1512C22⋊C4—2361no—
1513C22⋊C4—2361no—
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—594no—
1535C42—1182no—
1536C42—1182no—
1537C42—2361no—
1538C42—2361no—
1539C42—2361no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—592no—
1568C23—592no—
1569C23—592no—
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—1181no—
1587C23—1181no—
1588C23—1181no—
1589C23—1181no—
1590C23—1181no—
1591C23—1181no—
1592C23—1181no—
1593C23—1181no—
1594C23—1181no—
1595C23—4722no—
1596C23—4722no—
1597C23—4722no—
1598C23—4722no—
1599C23—4722no—
1600C23—4722no—
1601C23—2364no—
1602C23—2364no—
1603C23—2364no—
1604C23—2364no—
1605C23—2364no—
1606C23—2364no—
1607C23—2364no—
1608C23—2364no—
1609C23#1427377212yes—
1610C23C24×D5911yescharacteristic
1611Q8—4722no—
1612Q8—2364no—
1613D4—44no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—4722no—
1620D4—4722no—
1621D4—4722no—
1622D4—4722no—
1623D4—4722no—
1624D4—4722no—
1625D4—4722no—
1626D4—4722no—
1627D4—4722no—
1628D4—2364no—
1629D4—2364no—
1630D4—2364no—
1631D4—2364no—
1632D4—2364no—
1633D4—2364no—
1634D4—2364no—
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—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—44no—
1666C2×C4—82no—
1667C2×C4—592no—
1668C2×C4—592no—
1669C2×C4—592no—
1670C2×C4—1188no—
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—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—1181no—
1697C2×C4—1181no—
1698C2×C4—1181no—
1699C2×C4—1181no—
1700C2×C4—1181no—
1701C2×C4—1181no—
1702C2×C4—1181no—
1703C2×C4—1181no—
1704C2×C4—4722no—
1705C2×C4—2364no—
1706C2×C4—2364no—
1707C2×C4—2364no—
1708C2×C4—2364no—
1709C2×C4—2364no—
1710C2×C4—2364no—
1711C2×C4C2×D4×D5912yes—
1712C2×C4C2×D4×D5912yes—
1713C2×C4C2×D4×D5912yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—1182no—
1743C22—1182no—
1744C22—1182no—
1745C22—1182no—
1746C22—1182no—
1747C22—1182no—
1748C22—1182no—
1749C22—1182no—
1750C22—1182no—
1751C22—4728no—
1752C22—23616no—
1753C22—2361no—
1754C22—2361no—
1755C22—2361no—
1756C22—2361no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22—2361no—
1767C22—2361no—
1768C22—2361no—
1769C22—2361no—
1770C22—2361no—
1771C22—2361no—
1772C22C22×D4×D5911yescharacteristic
1773C22H(5,𝔽2)×D5911yescharacteristic
1774C22H(5,𝔽2)×D5911yescharacteristic
1775C22C2×#1427377211yescharacteristic
1776C22#1683823711yescharacteristic
1777C22#1683823811yescharacteristic
1778C22#1683823911yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—1182no—
1791C4—1182no—
1792C4—1182no—
1793C4—2361no—
1794C4—2361no—
1795C4—2361no—
1796C4—2361no—
1797C4—2361no—
1798C4—2361no—
1799C4—2361no—
1800C4—2361no—
1801C4—2361no—
1802C2—42no—
1803C2—81no—
1804C2—81no—
1805C2—81no—
1806C2—4721no—
1807C2—2362no—
1808C2—2362no—
1809C2—2362no—
1810C2#2143742411yescharacteristic
1811C2#2143772411yescharacteristic
1812C2#2143776411yescharacteristic
1813C2#2143826611yescharacteristic
1814C2#2143827611yescharacteristic
1815C2#2143836711yescharacteristic
1816C2#2143840911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2682C2
hypercenter#2682D59
hypocenterC59#36724
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2682

Complements

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

NH ≅ G/Ntype
1. C2×#16837988C2semidirect
2. C2×#16837910C2semidirect
3. #21432391C2semidirect
4. #21432375C2semidirect
5. #21430765C2semidirect
6. #21430722C2semidirect
7. #21430699C2semidirect
8. #21430678C2semidirect
9. #21430520C2semidirect
10. #21430449C2semidirect
11. #21430448C2semidirect
12. #21430429C2semidirect
13. #21430424C2semidirect
14. #21430418C2semidirect
15. #21430418C2semidirect
16. #21430354C2semidirect
17. #21430323C2semidirect
18. #21430315C2semidirect
19. #21430308C2semidirect
20. #21429985C2semidirect
21. #21429942C2semidirect
22. #21429780C2semidirect
23. #21429719C2semidirect
24. #21429686C2semidirect
25. #21429682C2semidirect
26. #21429062C2semidirect
27. #21428987C2semidirect
28. #21427437C2semidirect
29. #21427410C2semidirect
30. #21426735C2semidirect
31. C59×#2682C2semidirect
33. C23×C4×D59C22semidirect
36. C2×#14273722C22semidirect
37. C2×#14273720C22semidirect
39. C2×#14273713C22semidirect
40. C2×#14273713C22semidirect
46. C2×#14273707C22semidirect
47. C2×#14273706C22semidirect
48. C2×#14273705C22semidirect
49. C2×#14273705C22semidirect
62. C2×#14273695C22semidirect
63. C2×#14273695C22semidirect
64. C2×#14273695C22semidirect
65. C2×#14273695C22semidirect
68. C2×C4×C22⋊D59C22semidirect
69. C2×(C22⋊D59)⋊C4C22semidirect
70. C2×(C22⋊D59)⋊C4C22semidirect
71. C2×#14273683C22semidirect
72. C2×C22⋊C4×D59C22semidirect
73. #16837342C22semidirect
74. #16837338C22semidirect
75. #16837335C22semidirect
76. #16837335C22semidirect
77. #16837332C22semidirect
78. #16837330C22semidirect
79. #16837328C22semidirect
80. #16837328C22semidirect
81. #16837325C22semidirect
82. #16837325C22semidirect
83. #16837324C22semidirect
84. #16837324C22semidirect
85. #16837322C22semidirect
91. #16837318C22semidirect
92. #16837318C22semidirect
93. #16837318C22semidirect
94. #16837318C22semidirect
95. #16837318C22semidirect
96. #16837318C22semidirect
99. #16837317C22semidirect
100. #16837317C22semidirect
101. #16837317C22semidirect
102. #16837316C22semidirect
103. #16837315C22semidirect
104. #16837314C22semidirect
105. #16837314C22semidirect
113. #16837310C22semidirect
114. #16837310C22semidirect
115. #16837307C22semidirect
116. #16837306C22semidirect
118. #16837305C22semidirect
123. #16837302C22semidirect
124. #16837301C22semidirect
125. #16837299C22semidirect
126. #16837296C22semidirect
127. #16837296C22semidirect
128. #16837296C22semidirect
129. #16837296C22semidirect
130. #16837295C22semidirect
131. #16837294C22semidirect
132. #16837294C22semidirect
133. #16837294C22semidirect
134. #16837293C22semidirect
135. #16837293C22semidirect
136. #16837292C22semidirect
137. #16837292C22semidirect
138. #16837292C22semidirect
139. #16837290C22semidirect
140. #16837285C22semidirect
141. #16837283C22semidirect
143. #16837282C22semidirect
144. #16837282C22semidirect
145. #16837282C22semidirect
147. #16837281C22semidirect
151. #16837279C22semidirect
155. #16837278C22semidirect
156. #16837278C22semidirect
157. #16837278C22semidirect
158. #16837274C22semidirect
159. #16837274C22semidirect
160. #16837273C22semidirect
161. #16837273C22semidirect
162. #16837264C22semidirect
163. #16837264C22semidirect
164. #16837264C22semidirect
165. #16837264C22semidirect
166. #16837262C22semidirect
167. #16837259C22semidirect
168. #16837259C22semidirect
169. #16837259C22semidirect
170. #16837257C22semidirect
171. #16837257C22semidirect
172. C4⋊C4×Dic59C22semidirect
173. #16837248C22semidirect
174. C2×#123×C59C22semidirect
175. C2×#123×C59C22semidirect
177. C2×#121×C59C22semidirect
178. C59×#396C22semidirect
179. C59×#396C22semidirect
181. C59×#394C22semidirect
183. C59×#392C22semidirect
184. C59×#390C22semidirect
185. C59×#390C22semidirect
186. C59×#389C22semidirect
187. C59×#385C22semidirect
188. C59×#385C22semidirect
254. #14273689D4semidirect
903. #2682D59semidirect
954. C2×#123C2×D59semidirect
955. C2×#123C2×D59semidirect
967. C2×#121C2×D59semidirect
997. #396C2×D59semidirect
998. #396C2×D59semidirect
1018. #394C2×D59semidirect
1032. #392C2×D59semidirect
1042. #390C2×D59semidirect
1043. #390C2×D59semidirect
1046. #389C2×D59semidirect
1083. #385C2×D59semidirect
1084. #385C2×D59semidirect
1097. C59#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#168379882
C2×#168379102
#214323912
#214323752
#214307652
#214307222
#214306992
#214306782
#214305202
#214304492
#214304482
#214304292
#214304242
#214304182
#214303542
#214303232
#214303152
#214303082
#214299852
#214299422
#214297802
#214297192
#214296862
#214296822
#214290622
#214289872
#214274372
#214274102
#214267352
C59×#26822
#3672459