Finite Group Databasebeta

← #28797606

Subgroups — #28797606

Order 15104.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21432410C211yesmaximal, characteristic, complemented
2#21432392C211yesmaximal, characteristic, complemented
3#21432074C211yesmaximal, characteristic, complemented
4#21432035C211yesmaximal, characteristic, complemented
5#21432025C211yesmaximal, characteristic, complemented
6#21431817C211yesmaximal, characteristic, complemented
7#21431759C211yesmaximal, characteristic, complemented
8#21431730C211yesmaximal, characteristic, complemented
9#21431707C211yesmaximal, characteristic, complemented
10#21431672C211yesmaximal, characteristic, complemented
11#21431457C211yesmaximal, characteristic, complemented
12#21431420C211yesmaximal, characteristic, complemented
13#21431411C211yesmaximal, characteristic, complemented
14#21431343C211yesmaximal, characteristic, complemented
15#21430901C211yesmaximal, characteristic, complemented
16#21430894C211yesmaximal, characteristic, complemented
17#21430496C211yesmaximal, characteristic, complemented
18#21429868C211yesmaximal, characteristic, complemented
19#21429829C211yesmaximal, characteristic, complemented
20#21428655C211yesmaximal, characteristic, complemented
21#21428218C211yesmaximal, characteristic, complemented
22#21427839C211yesmaximal, characteristic, complemented
23#21427769C211yesmaximal, characteristic, complemented
24#21427699C211yesmaximal, characteristic, complemented
25#21427635C211yesmaximal, characteristic, complemented
26#21427478C211yesmaximal, characteristic, complemented
27#21427410C211yesmaximal, characteristic, complemented
28#21426766C211yesmaximal, characteristic, complemented
29#21426686C211yesmaximal, characteristic, complemented
30#388×D59C211yesmaximal, characteristic, complemented
31C59×#2733C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C2×#14273720C2211yescharacteristic, complemented
34C2×#14273709C2211yescharacteristic
35C2×#14273703C2211yescharacteristic
36C2×#14273699C2211yescharacteristic
37C2×#14273698C2211yescharacteristic
38C2×#14273698C2211yescharacteristic
39C2×#14273695C2211yescharacteristic
40C2×#14273695C2211yescharacteristic
41C2×#14273695C2211yescharacteristic
42C2×(C22⋊D59)⋊C4C2211yescharacteristic
43C2×#14273684C2211yescharacteristic
44C2×C4⋊C4×D59C2211yescharacteristic
45C2×C22⋊C4×D59C2211yescharacteristic
46C2×C22⋊C4×D59C2211yescharacteristic
47C2×C22⋊C4×D59C2211yescharacteristic
48C2×C42×D59C2211yescharacteristic
49C59⋊#401C2211yescharacteristic, complemented
50#16837344C2211yescharacteristic, complemented
51#16837343C2211yescharacteristic, complemented
52#16837340C2211yescharacteristic, complemented
53#16837336C2211yescharacteristic, complemented
54#16837332C2211yescharacteristic, complemented
55#16837331C2211yescharacteristic
56#16837330C2211yescharacteristic
57#16837330C2211yescharacteristic
58#16837330C2211yescharacteristic, complemented
59#16837330C2211yescharacteristic, complemented
60#16837330C2211yescharacteristic, complemented
61#16837330C2211yescharacteristic, complemented
62#16837329C2211yescharacteristic
63#16837328C2211yescharacteristic
64#16837327C2211yescharacteristic
65#16837327C2211yescharacteristic
66#16837325C2211yescharacteristic
67#16837325C2211yescharacteristic
68#16837324C2211yescharacteristic
69#16837323C2211yescharacteristic, complemented
70#16837321C2211yescharacteristic, complemented
71#16837318C2211yescharacteristic
72#16837318C2211yescharacteristic
73#16837318C2211yescharacteristic
74#16837317C2211yescharacteristic
75#16837317C2211yescharacteristic
76#16837317C2211yescharacteristic
77#16837317C2211yescharacteristic
78#16837317C2211yescharacteristic
79#16837316C2211yescharacteristic
80#16837316C2211yescharacteristic
81#16837316C2211yescharacteristic
82#16837316C2211yescharacteristic
83#16837316C2211yescharacteristic
84#16837316C2211yescharacteristic, complemented
85#16837315C2211yescharacteristic
86#16837314C2211yescharacteristic
87#16837314C2211yescharacteristic, complemented
88#16837313C2211yescharacteristic
89#16837310C2211yescharacteristic
90#16837310C2211yescharacteristic
91#16837309C2211yescharacteristic, complemented
92#16837308C2211yescharacteristic, complemented
93#16837307C2211yescharacteristic, complemented
94#16837305C2211yescharacteristic
95#16837305C2211yescharacteristic, complemented
96#16837305C2211yescharacteristic, complemented
97#16837302C2211yescharacteristic
98#16837302C2211yescharacteristic
99#16837300C2211yescharacteristic, complemented
100#16837299C2211yescharacteristic, complemented
101#16837297C2211yescharacteristic, complemented
102#16837296C2211yescharacteristic
103#16837296C2211yescharacteristic
104#16837296C2211yescharacteristic, complemented
105#16837296C2211yescharacteristic, complemented
106#16837296C2211yescharacteristic, complemented
107#16837295C2211yescharacteristic
108#16837295C2211yescharacteristic
109#16837295C2211yescharacteristic, complemented
110#16837294C2211yescharacteristic
111#16837294C2211yescharacteristic
112#16837293C2211yescharacteristic
113#16837293C2211yescharacteristic
114#16837293C2211yescharacteristic
115#16837292C2211yescharacteristic
116#16837291C2211yescharacteristic
117#16837290C2211yescharacteristic
118#16837290C2211yescharacteristic, complemented
119#16837290C2211yescharacteristic, complemented
120#16837290C2211yescharacteristic, complemented
121#16837290C2211yescharacteristic, complemented
122#16837290C2211yescharacteristic, complemented
123#16837289C2211yescharacteristic, complemented
124#16837289C2211yescharacteristic, complemented
125#16837288C2211yescharacteristic, complemented
126#16837288C2211yescharacteristic, complemented
127#16837286C2211yescharacteristic, complemented
128#16837286C2211yescharacteristic, complemented
129#16837286C2211yescharacteristic, complemented
130#16837285C2211yescharacteristic, complemented
131#16837285C2211yescharacteristic, complemented
132#16837282C2211yescharacteristic
133#16837282C2211yescharacteristic
134#16837282C2211yescharacteristic
135#16837282C2211yescharacteristic, complemented
136#16837282C2211yescharacteristic, complemented
137#16837282C2211yescharacteristic, complemented
138#16837279C2211yescharacteristic
139#16837279C2211yescharacteristic
140#16837278C2211yescharacteristic
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic
144#16837278C2211yescharacteristic
145#16837278C2211yescharacteristic
146#16837278C2211yescharacteristic
147#16837278C2211yescharacteristic
148#16837278C2211yescharacteristic
149#16837278C2211yescharacteristic
150#16837277C2211yescharacteristic, complemented
151#16837277C2211yescharacteristic, complemented
152#16837277C2211yescharacteristic, complemented
153#16837276C2211yescharacteristic
154#16837276C2211yescharacteristic
155#16837274C2211yescharacteristic, complemented
156#16837273C2211yescharacteristic
157#16837273C2211yescharacteristic
158#16837269C2211yescharacteristic, complemented
159#16837269C2211yescharacteristic, complemented
160#16837268C2211yescharacteristic, complemented
161#16837264C2211yescharacteristic
162#16837263C2211yescharacteristic, complemented
163#16837261C2211yescharacteristic
164#16837260C2211yescharacteristic, complemented
165#16837260C2211yescharacteristic, complemented
166#16837260C2211yescharacteristic, complemented
167#16837260C2211yescharacteristic, complemented
168#16837257C2211yescharacteristic
169C4×(C2×D59)⋊C4C2211yescharacteristic
170#95×D59C2211yescharacteristic
171#95×D59C2211yescharacteristic
172C2×#124×C59C2211yescharacteristic
173C2×#124×C59C2211yescharacteristic, complemented
174C59×#394C2211yescharacteristic
175C59×#394C2211yescharacteristic, complemented
176C59×#392C2211yescharacteristic
177C59×#392C2211yescharacteristic
178C59×#392C2211yescharacteristic
179C59×#392C2211yescharacteristic, complemented
180C59×#391C2211yescharacteristic, complemented
181C59×#390C2211yescharacteristic
182C59×#390C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic
184C59×#388C2211yescharacteristic, complemented
185C59×#388C2211yescharacteristic, complemented
186C59×#388C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C2×#11745687—24no—
189C2×#11745687—42no—
190C2×#11745687—42no—
191C22×Dic118C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C23×Dic59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C22×C4×D59C2311yescharacteristic
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207#14273720—42no—
208#14273709—24no—
209#14273703—42no—
210#14273699—42no—
211#14273698—42no—
212#14273698—42no—
213#14273695—42no—
214#14273695—42no—
215#14273695—42no—
216(C22⋊D59)⋊C4—42no—
217#14273684—42no—
218C2×C4⋊Dic59C2311yescharacteristic
219C2×C4⋊Dic59C2311yescharacteristic
220C2×C4⋊Dic59C2311yescharacteristic
221C2×C4⋊Dic59C2311yescharacteristic
222C2×C4⋊Dic59C2311yescharacteristic
223C2×C4⋊Dic59C2311yescharacteristic
224C2×C4⋊Dic59C2311yescharacteristic
225C2×Dic59⋊C4C2311yescharacteristic
226C2×Dic59⋊C4C2311yescharacteristic
227C2×Dic59⋊C4C2311yescharacteristic
228C2×Dic59⋊C4C2311yescharacteristic
229C2×Dic59⋊C4C2311yescharacteristic
230C2×Dic59⋊C4C2311yescharacteristic
231C2×Dic59⋊C4C2311yescharacteristic
232C2×Dic59⋊C4C2311yescharacteristic
233C2×Dic59⋊C4C2311yescharacteristic
234C2×Dic59⋊C4C2311yescharacteristic
235C2×Dic59⋊C4C2311yescharacteristic
236C2×Dic59⋊C4C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C4⋊C4×D59—42no—
240C2×C22⋊Dic59C2311yescharacteristic
241C2×C22⋊Dic59C2311yescharacteristic
242C2×C22⋊Dic59C2311yescharacteristic
243C2×C22⋊Dic59C2311yescharacteristic
244C2×C22⋊Dic59C2311yescharacteristic
245C2×C22⋊Dic59C2311yescharacteristic
246C2×C22⋊Dic59C2311yescharacteristic
247C2×C22⋊Dic59C2311yescharacteristic
248C2×C22⋊Dic59C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C22⋊C4×D59—24no—
279C22⋊C4×D59—42no—
280C22⋊C4×D59—42no—
281C2×C4×Dic59C2311yescharacteristic
282C2×C4×Dic59C2311yescharacteristic
283C2×C4×Dic59C2311yescharacteristic
284C2×C4×Dic59C2311yescharacteristic
285C2×C4×Dic59C2311yescharacteristic
286C2×C4×Dic59C2311yescharacteristic
287C42×D59—42no—
288C59⋊#95C2311yescharacteristic
289C59⋊#95C2311yescharacteristic
290C59⋊#95C2311yescharacteristic
291C59⋊#95C2311yescharacteristic
292C59⋊#95C2311yescharacteristic
293C59⋊#95C2311yescharacteristic
294C59⋊#95C2311yescharacteristic
295C59⋊#95C2311yescharacteristic
296C59⋊#95C2311yescharacteristic
297C59⋊#95C2311yescharacteristic
298C59⋊#95C2311yescharacteristic
299C59⋊#95C2311yescharacteristic
300C59⋊#95C2311yescharacteristic
301C59⋊#95C2311yescharacteristic
302C59⋊#95C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C22×Q8×C59C2311yescharacteristic
327C22×D4×C59C2311yescharacteristic
328C22×D4×C59C2311yescharacteristic
329C22×D4×C59C2311yescharacteristic
330C22×D4×C59C2311yescharacteristic
331C22×D4×C59C2311yescharacteristic
332C22×D4×C59C2311yescharacteristic
333#124×C59—42no—
334#124×C59—42no—
335C2×C4⋊C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C22⋊C4×C59C2311yescharacteristic
339C2×C22⋊C4×C59C2311yescharacteristic
340C2×C22⋊C4×C59C2311yescharacteristic
341C2×C22⋊C4×C59C2311yescharacteristic
342C2×C22⋊C4×C59C2311yescharacteristic
343C2×C22⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C42×C59C2311yescharacteristic
355C2×C42×C59C2311yescharacteristic
356C2×C42×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363C24×C59C2411yescharacteristic
364C24×C59C2411yescharacteristic
365C24×C59C2411yescharacteristic
366C24×C59C2411yescharacteristic
367C23×D59—22no—
368C23×D59—22no—
369C23×D59—22no—
370C23×D59—41no—
371C23×D59—41no—
372C23×D59—41no—
373C23×D59—41no—
374C23×D59C2411yescharacteristic
375C23×D59C2411yescharacteristic
376C2×Q8×C59—22no—
377C2×Q8×C59—41no—
378C2×Q8×C59—41no—
379C2×D4×C59—22no—
380C2×D4×C59—22no—
381C2×D4×C59—41no—
382C2×D4×C59—41no—
383C2×D4×C59—41no—
384C2×D4×C59—41no—
385C2×D4×C59—41no—
386C2×D4×C59—41no—
387C2×D4×C59—41no—
388C2×D4×C59—41no—
389C2×D4×C59—41no—
390C2×D4×C59—41no—
391C2×D4×C59—41no—
392C2×D4×C59—41no—
393C2×D4×C59—41no—
394C2×D4×C59—41no—
395C2×D4×C59—41no—
396C2×D4×C59—41no—
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C2×C22⋊D59—22no—
409C2×C22⋊D59—22no—
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C2×C22⋊D59—22no—
415C2×C22⋊D59—22no—
416C2×C22⋊D59—22no—
417C2×C22⋊D59—41no—
418C2×C22⋊D59—41no—
419C2×C22⋊D59—41no—
420C2×C22⋊D59—41no—
421C2×C22⋊D59—41no—
422C2×C22⋊D59—41no—
423C2×C22⋊D59—41no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C22×Dic59—22no—
427C22×Dic59—22no—
428C22×Dic59—41no—
429C22×Dic59—41no—
430C22×Dic59—41no—
431C22×Dic59—41no—
432C22×Dic59—41no—
433C22×Dic59—41no—
434C22×Dic59—41no—
435C22×Dic59C2411yescharacteristic
436C22×Dic59C2411yescharacteristic
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C22×Dic59C2411yescharacteristic
448C22×Dic59C2411yescharacteristic
449#11745687—416no—
450C2×C4×D59—22no—
451C2×C4×D59—22no—
452C2×C4×D59—22no—
453C2×C4×D59—22no—
454C2×C4×D59—22no—
455C2×C4×D59—22no—
456C2×C4×D59—22no—
457C2×C4×D59—22no—
458C2×C4×D59—41no—
459C2×C4×D59—41no—
460C2×C4×D59—41no—
461C2×C4×D59—41no—
462C2×C4×D59—41no—
463C2×C4×D59—41no—
464C2×C4×D59—41no—
465C2×C4×D59—41no—
466C2×C4×D59—41no—
467C2×C4×D59#4114yes—
468C2×Dic118—22no—
469C2×Dic118—41no—
470C2×Dic118—41no—
471C4⋊C4×C59—41no—
472C4⋊C4×C59—41no—
473C4⋊C4×C59—41no—
474C22⋊C4×C59—22no—
475C22⋊C4×C59—22no—
476C22⋊C4×C59—22no—
477C22⋊C4×C59—22no—
478C22⋊C4×C59—41no—
479C22⋊C4×C59—41no—
480C22⋊C4×C59—41no—
481C22⋊C4×C59—41no—
482C22⋊C4×C59—41no—
483C22⋊C4×C59—41no—
484C22⋊C4×C59—41no—
485C22⋊C4×C59—41no—
486C22⋊C4×C59—41no—
487C22⋊C4×C59—41no—
488C22⋊C4×C59—41no—
489C22⋊C4×C59—41no—
490C42×C59—22no—
491C42×C59—41no—
492C42×C59—41no—
493C22⋊Dic59—22no—
494C22⋊Dic59—22no—
495C22⋊Dic59—41no—
496C22⋊Dic59—41no—
497C22⋊Dic59—41no—
498C22⋊Dic59—41no—
499C22⋊Dic59—41no—
500C22⋊Dic59—41no—
501C22⋊Dic59—41no—
502C22⋊Dic59—41no—
503C22⋊Dic59—41no—
504C22⋊Dic59—41no—
505C22⋊Dic59—41no—
506C22⋊Dic59—41no—
507C22⋊Dic59—41no—
508C22⋊Dic59—41no—
509C22⋊Dic59—41no—
510C22⋊Dic59—41no—
511C22⋊Dic59—41no—
512C22⋊Dic59—41no—
513C22⋊Dic59—41no—
514C22⋊Dic59—41no—
515(C2×D59)⋊C4—22no—
516(C2×D59)⋊C4—22no—
517(C2×D59)⋊C4—22no—
518(C2×D59)⋊C4—22no—
519(C2×D59)⋊C4—22no—
520(C2×D59)⋊C4—22no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—41no—
524(C2×D59)⋊C4—41no—
525(C2×D59)⋊C4—41no—
526(C2×D59)⋊C4—41no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531C4⋊Dic59—22no—
532C4⋊Dic59—41no—
533C4⋊Dic59—41no—
534C4⋊Dic59—41no—
535C4⋊Dic59—41no—
536C4⋊Dic59—41no—
537C4⋊Dic59—41no—
538Dic59⋊C4—22no—
539Dic59⋊C4—22no—
540Dic59⋊C4—41no—
541Dic59⋊C4—41no—
542Dic59⋊C4—41no—
543Dic59⋊C4—41no—
544Dic59⋊C4—41no—
545Dic59⋊C4—41no—
546Dic59⋊C4—41no—
547Dic59⋊C4—41no—
548Dic59⋊C4—41no—
549Dic59⋊C4—41no—
550Dic59⋊C4—41no—
551Dic59⋊C4—41no—
552C4×Dic59—22no—
553C4×Dic59—41no—
554C4×Dic59—41no—
555C4×Dic59—41no—
556C4×Dic59—41no—
557C4×Dic59—41no—
558C23×C59—21no—
559C23×C59—21no—
560C23×C59—21no—
561C23×C59—21no—
562C23×C59—21no—
563C23×C59—21no—
564C23×C59—21no—
565C23×C59—21no—
566C23×C59—21no—
567C23×C59—21no—
568C23×C59—21no—
569C23×C59—21no—
570C23×C59—21no—
571C23×C59—21no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59—21no—
586C23×C59C2511yescharacteristic
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—44no—
599C22×D59—44no—
600C22×D59—44no—
601C22×D59—82no—
602C22×D59—82no—
603C22×D59—82no—
604C22×D59—82no—
605C22×D59C2×#4112yes—
606C22×D59H(5,𝔽2)12yes—
607C22×D59H(5,𝔽2)12yes—
608Q8×C59—82no—
609D4×C59—44no—
610D4×C59—82no—
611D4×C59—82no—
612D4×C59—82no—
613D4×C59—82no—
614D4×C59—82no—
615C2×C4×C59—21no—
616C2×C4×C59—21no—
617C2×C4×C59—21no—
618C2×C4×C59—21no—
619C2×C4×C59—21no—
620C2×C4×C59—21no—
621C2×C4×C59—21no—
622C2×C4×C59—21no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59C2×#4112yes—
647C2×C4×C59H(5,𝔽2)12yes—
648C22⋊D59—44no—
649C22⋊D59—44no—
650C22⋊D59—44no—
651C22⋊D59—82no—
652C22⋊D59—82no—
653C22⋊D59—82no—
654C2×Dic59—21no—
655C2×Dic59—21no—
656C2×Dic59—21no—
657C2×Dic59—21no—
658C2×Dic59—21no—
659C2×Dic59—21no—
660C2×Dic59—21no—
661C2×Dic59—21no—
662C2×Dic59—21no—
663C2×Dic59—21no—
664C2×Dic59—21no—
665C2×Dic59—21no—
666C2×Dic59—21no—
667C2×Dic59—21no—
668C2×Dic59—21no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—44no—
696C2×Dic59—44no—
697C2×Dic59—82no—
698C2×Dic59C2×#4112yes—
699C4×D59—28no—
700C4×D59—44no—
701C4×D59—44no—
702C4×D59—44no—
703C4×D59—82no—
704C4×D59—82no—
705Dic118—44no—
706#36795—591nomaximal, Sylow
707C22×C59—41no—
708C22×C59—41no—
709C22×C59—41no—
710C22×C59—41no—
711C22×C59—41no—
712C22×C59—41no—
713C22×C59—41no—
714C22×C59—41no—
715C22×C59—41no—
716C22×C59—41no—
717C22×C59—41no—
718C22×C59—41no—
719C22×C59—41no—
720C22×C59—41no—
721C22×C59—41no—
722C22×C59—41no—
723C22×C59—41no—
724C22×C59—41no—
725C22×C59—41no—
726C22×C59—41no—
727C22×C59—41no—
728C22×C59—41no—
729C22×C59—41no—
730C22×C59—41no—
731C22×C59—41no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59C22×#4111yescharacteristic
736C22×C59C2×H(5,𝔽2)11yescharacteristic
737C22×C59C2×H(5,𝔽2)11yescharacteristic
738C22×C59C2×H(5,𝔽2)11yescharacteristic
739C22×C59#58511yescharacteristic
740C22×C59#58511yescharacteristic
741C22×C59#58511yescharacteristic
742C2×D59—22no—
743C2×D59—22no—
744C2×D59—22no—
745C2×D59—22no—
746C2×D59—22no—
747C2×D59—22no—
748C2×D59—41no—
749C2×D59—41no—
750C2×D59—41no—
751C2×D59—41no—
752C2×D59—41no—
753C2×D59—41no—
754C2×D59—41no—
755C2×D59—88no—
756C2×D59#53814yes—
757C4×C59—22no—
758C4×C59—22no—
759C4×C59—41no—
760C4×C59—41no—
761C4×C59—41no—
762C4×C59—41no—
763C4×C59—41no—
764C4×C59—41no—
765C4×C59—41no—
766C4×C59—41no—
767C4×C59—41no—
768Dic59—22no—
769Dic59—41no—
770Dic59—41no—
771Dic59—41no—
772Dic59—41no—
773Dic59—41no—
774Dic59—41no—
775Dic59—41no—
776Dic59—41no—
777Dic59—41no—
778Dic59—41no—
779Dic59—41no—
780Dic59—41no—
781Dic59—41no—
782#2852—591no—
783#2850—591no—
784#2808—591no—
785#2803—591no—
786#2803—591no—
787#2786—591no—
788#2781—591no—
789#2779—591no—
790#2778—591no—
791#2775—591no—
792#2759—591no—
793#2756—591no—
794#2756—591no—
795#2751—591no—
796#2733D5911yescharacteristic, complemented
797#2715—591no—
798#2714—591no—
799#2686—591no—
800#2622—591no—
801#2617—591no—
802#2510—591no—
803#2472—591no—
804#2444—591no—
805#2438—591no—
806#2430—591no—
807#2424—591no—
808#2411—591no—
809#2404—591no—
810#2322—591no—
811#2311—591no—
812C2×#388—591no—
813C2×C59—81no—
814C2×C59—81no—
815C2×C59—81no—
816C2×C59—81no—
817C2×C59C2×#53811yescharacteristic
818C2×C59#349311yescharacteristic
819C2×C59#350611yescharacteristic
820C2×C59#353411yescharacteristic
821C2×C59#354211yescharacteristic
822C2×C59#354511yescharacteristic
823C2×C59#356011yescharacteristic
824D59—24no—
825D59—81no—
826C22×#41—591no—
827C2×#126—591no—
828C2×#124C2×D5911yescharacteristic
829C2×#124C2×D5911yescharacteristic, complemented
830C2×#123—591no—
831C2×C22⋊Q8—591no—
832C2×#121—591no—
833C2×#121—591no—
834C2×#121—591no—
835C2×#120—591no—
836C2×#120—591no—
837C2×#120—591no—
838C2×C4×D4—591no—
839C2×#117—591no—
840C22×C4⋊C4—591no—
841C22×C22⋊C4—591no—
842C22×C22⋊C4—591no—
843C22×C22⋊C4—591no—
844C22×C42—591no—
845#401—591no—
846#400—591no—
847#400—591no—
848#400—591no—
849#398—591no—
850#398—591no—
851#397—591no—
852#397—591no—
853#397—591no—
854#397—591no—
855#397—591no—
856#397—591no—
857#397—591no—
858#397—591no—
859#397—591no—
860#397—591no—
861#397—591no—
862#396—591no—
863#396—591no—
864#396—591no—
865#395—591no—
866#395—591no—
867#394—591no—
868#394—591no—
869#394—591no—
870#394—591no—
871#394—591no—
872#394—591no—
873#394—591no—
874#394—591no—
875#394—591no—
876#394—591no—
877#394—591no—
878#394—591no—
879#394—591no—
880#394—591no—
881#394C2×D5911yescharacteristic
882#394C2×D5911yescharacteristic, complemented
883#393—591no—
884#393—591no—
885#393—591no—
886#393—591no—
887#392—591no—
888#392—591no—
889#392C2×D5911yescharacteristic
890#392C2×D5911yescharacteristic
891#392C2×D5911yescharacteristic
892#392C2×D5911yescharacteristic, complemented
893#391—591no—
894#391—591no—
895#391—591no—
896#391C2×D5911yescharacteristic, complemented
897#390—591no—
898#390—591no—
899#390—591no—
900#390—591no—
901#390—591no—
902#390C2×D5911yescharacteristic
903#390C2×D5911yescharacteristic, complemented
904#389—591no—
905#389—591no—
906#389—591no—
907#388—591no—
908#388—591no—
909#388—591no—
910#388—591no—
911#388—591no—
912#388—591no—
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388C2×D5911yescharacteristic
929#388C2×D5911yescharacteristic, complemented
930#388C2×D5911yescharacteristic, complemented
931#388C2×D5911yescharacteristic, complemented
932#387—591no—
933#387—591no—
934#387—591no—
935#387—591no—
936#387—591no—
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#386—591no—
942#386—591no—
943#386—591no—
944#386—591no—
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386—591no—
959#385—591no—
960#385—591no—
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385—591no—
967#383—591no—
968#383—591no—
969#382—591no—
970#381—591no—
971#381—591no—
972#380—591no—
973#380—591no—
974#380—591no—
975#380—591no—
976#380—591no—
977#379—591no—
978C4×C22⋊C4—591no—
979C2×#95—591no—
980C2×#95—591no—
981C59#3679511yescharacteristic, complemented, Sylow
982C25—591no—
983C2×#41—1184no—
984C2×#41—2362no—
985C2×#41—2362no—
986C22×Q8—591no—
987C22×Q8C22×D5911yescharacteristic
988C22×D4—591no—
989C22×D4—591no—
990C22×D4—591no—
991C22×D4—591no—
992C22×D4—591no—
993C22×D4—591no—
994C22×D4C22×D5911yescharacteristic
995C22×D4C22×D5911yescharacteristic
996C22×D4C22×D5911yescharacteristic
997C22×D4C22×D5911yescharacteristic
998C22×D4C22×D5911yescharacteristic
999C22×D4C22×D5911yescharacteristic
1000C23×C4—591no—
1001C23×C4—591no—
1002C23×C4—591no—
1003C23×C4—591no—
1004C23×C4—591no—
1005C23×C4—591no—
1006C23×C4—591no—
1007C23×C4—591no—
1008C23×C4—591no—
1009#126—2362no—
1010#124—42no—
1011#124—42no—
1012#123—1184no—
1013C22⋊Q8—2362no—
1014#121—2362no—
1015#121—2362no—
1016#121—2362no—
1017#120—2362no—
1018#120—2362no—
1019#120—2362no—
1020C4×D4—2362no—
1021#117—2362no—
1022C2×C4⋊C4—591no—
1023C2×C4⋊C4—591no—
1024C2×C4⋊C4—591no—
1025C2×C4⋊C4—591no—
1026C2×C4⋊C4—591no—
1027C2×C4⋊C4—591no—
1028C2×C4⋊C4—591no—
1029C2×C4⋊C4—591no—
1030C2×C4⋊C4—591no—
1031C2×C4⋊C4—591no—
1032C2×C4⋊C4—591no—
1033C2×C4⋊C4—591no—
1034C2×C4⋊C4—591no—
1035C2×C4⋊C4—591no—
1036C2×C4⋊C4—591no—
1037C2×C4⋊C4—591no—
1038C2×C4⋊C4—591no—
1039C2×C4⋊C4—591no—
1040C2×C4⋊C4—591no—
1041C2×C4⋊C4—591no—
1042C2×C4⋊C4—591no—
1043C2×C4⋊C4—2362no—
1044C2×C4⋊C4C22×D5911yescharacteristic
1045C2×C4⋊C4C22×D5911yescharacteristic
1046C2×C4⋊C4C22×D5911yescharacteristic
1047C2×C22⋊C4—591no—
1048C2×C22⋊C4—591no—
1049C2×C22⋊C4—591no—
1050C2×C22⋊C4—591no—
1051C2×C22⋊C4—591no—
1052C2×C22⋊C4—591no—
1053C2×C22⋊C4—591no—
1054C2×C22⋊C4—591no—
1055C2×C22⋊C4—591no—
1056C2×C22⋊C4—591no—
1057C2×C22⋊C4—591no—
1058C2×C22⋊C4—591no—
1059C2×C22⋊C4—591no—
1060C2×C22⋊C4—591no—
1061C2×C22⋊C4—591no—
1062C2×C22⋊C4—591no—
1063C2×C22⋊C4—591no—
1064C2×C22⋊C4—591no—
1065C2×C22⋊C4—591no—
1066C2×C22⋊C4—591no—
1067C2×C22⋊C4—591no—
1068C2×C22⋊C4—591no—
1069C2×C22⋊C4—591no—
1070C2×C22⋊C4—591no—
1071C2×C22⋊C4—591no—
1072C2×C22⋊C4—591no—
1073C2×C22⋊C4—591no—
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—1184no—
1086C2×C22⋊C4—2362no—
1087C2×C22⋊C4—2362no—
1088C2×C22⋊C4C22×D5911yescharacteristic
1089C2×C22⋊C4C22×D5911yescharacteristic
1090C2×C22⋊C4C22×D5911yescharacteristic
1091C2×C22⋊C4C22×D5911yescharacteristic
1092C2×C22⋊C4C22×D5911yescharacteristic
1093C2×C22⋊C4C22×D5911yescharacteristic
1094C2×C22⋊C4C22×D5911yescharacteristic
1095C2×C22⋊C4C22×D5911yescharacteristic
1096C2×C22⋊C4C22×D5911yescharacteristic
1097C2×C22⋊C4C22×D5911yescharacteristic
1098C2×C22⋊C4C22×D5911yescharacteristic
1099C2×C22⋊C4C22×D5911yescharacteristic
1100C2×C22⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4C22×D5911yescharacteristic
1102C2×C22⋊C4C22×D5911yescharacteristic
1103C2×C22⋊C4C22×D5911yescharacteristic
1104C2×C42—591no—
1105C2×C42—591no—
1106C2×C42—591no—
1107C2×C42—591no—
1108C2×C42—591no—
1109C2×C42—591no—
1110C2×C42—2362no—
1111C2×C42C22×D5911yescharacteristic
1112C2×C42C22×D5911yescharacteristic
1113C2×C42C22×D5911yescharacteristic
1114#95—591no—
1115#95—591no—
1116#95—591no—
1117#95—591no—
1118#95—591no—
1119#95—591no—
1120#95—591no—
1121#95—591no—
1122#95—591no—
1123#95—591no—
1124#95—591no—
1125#95—591no—
1126#95—591no—
1127#95—591no—
1128#95—591no—
1129#95—591no—
1130#95—591no—
1131#95—591no—
1132#95—591no—
1133#95—591no—
1134#95—591no—
1135#95—591no—
1136#95—591no—
1137#95—591no—
1138#95—591no—
1139#95—591no—
1140#95—591no—
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95C22×D5911yescharacteristic
1153#95C22×D5911yescharacteristic
1154#95C22×D5911yescharacteristic
1155#95C22×D5911yescharacteristic
1156#95C22×D5911yescharacteristic
1157#95C22×D5911yescharacteristic
1158C24—591no—
1159C24—591no—
1160C24—1182no—
1161C24—1182no—
1162C24—1182no—
1163C24—2361no—
1164C24—2361no—
1165C24—2361no—
1166C24—2361no—
1167C24C23×D5911yescharacteristic
1168C24C23×D5911yescharacteristic
1169C24C23×D5911yescharacteristic
1170C24C23×D5911yescharacteristic
1171#41—23616no—
1172C2×Q8—22no—
1173C2×Q8—41no—
1174C2×Q8—41no—
1175C2×Q8—1182no—
1176C2×Q8—2361no—
1177C2×Q8—2361no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—1182no—
1197C2×D4—1182no—
1198C2×D4—1182no—
1199C2×D4—1182no—
1200C2×D4—1182no—
1201C2×D4—1182no—
1202C2×D4—1182no—
1203C2×D4—1182no—
1204C2×D4—1182no—
1205C2×D4—2361no—
1206C2×D4—2361no—
1207C2×D4—2361no—
1208C2×D4—2361no—
1209C2×D4—2361no—
1210C2×D4—2361no—
1211C2×D4—2361no—
1212C2×D4—2361no—
1213C2×D4—2361no—
1214C22×C4—591no—
1215C22×C4—594no—
1216C22×C4—591no—
1217C22×C4—591no—
1218C22×C4—591no—
1219C22×C4—591no—
1220C22×C4—591no—
1221C22×C4—591no—
1222C22×C4—591no—
1223C22×C4—591no—
1224C22×C4—591no—
1225C22×C4—591no—
1226C22×C4—591no—
1227C22×C4—591no—
1228C22×C4—591no—
1229C22×C4—1182no—
1230C22×C4—1182no—
1231C22×C4—1182no—
1232C22×C4—1182no—
1233C22×C4—1182no—
1234C22×C4—1182no—
1235C22×C4—1182no—
1236C22×C4—1182no—
1237C22×C4—1182no—
1238C22×C4—1182no—
1239C22×C4—2361no—
1240C22×C4—2361no—
1241C22×C4—2361no—
1242C22×C4—2361no—
1243C22×C4—2361no—
1244C22×C4—2361no—
1245C22×C4—2361no—
1246C22×C4—2361no—
1247C22×C4—2361no—
1248C22×C4—2361no—
1249C22×C4—2361no—
1250C22×C4—2361no—
1251C22×C4—2361no—
1252C22×C4—2361no—
1253C22×C4—2361no—
1254C22×C4—2361no—
1255C22×C4C23×D5911yescharacteristic
1256C22×C4C23×D5911yescharacteristic
1257C22×C4C23×D5911yescharacteristic
1258C22×C4C23×D5911yescharacteristic
1259C22×C4C23×D5911yescharacteristic
1260C22×C4C23×D5911yescharacteristic
1261C22×C4C23×D5911yescharacteristic
1262C22×C4C23×D5911yescharacteristic
1263C22×C4C23×D5911yescharacteristic
1264C22×C4C23×D5911yescharacteristic
1265C22×C4C23×D5911yescharacteristic
1266C4⋊C4—41no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—1182no—
1270C4⋊C4—1182no—
1271C4⋊C4—1182no—
1272C4⋊C4—2361no—
1273C4⋊C4—2361no—
1274C4⋊C4—2361no—
1275C4⋊C4—2361no—
1276C4⋊C4—2361no—
1277C4⋊C4—2361no—
1278C4⋊C4—2361no—
1279C4⋊C4—2361no—
1280C4⋊C4—2361no—
1281C4⋊C4—2361no—
1282C4⋊C4—2361no—
1283C4⋊C4—2361no—
1284C4⋊C4—2361no—
1285C4⋊C4—2361no—
1286C4⋊C4—2361no—
1287C4⋊C4—2361no—
1288C4⋊C4—2361no—
1289C4⋊C4—2361no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—1182no—
1307C22⋊C4—1182no—
1308C22⋊C4—1182no—
1309C22⋊C4—1182no—
1310C22⋊C4—1182no—
1311C22⋊C4—1182no—
1312C22⋊C4—1182no—
1313C22⋊C4—1182no—
1314C22⋊C4—1182no—
1315C22⋊C4—1182no—
1316C22⋊C4—2361no—
1317C22⋊C4—2361no—
1318C22⋊C4—2361no—
1319C22⋊C4—2361no—
1320C22⋊C4—2361no—
1321C22⋊C4—2361no—
1322C22⋊C4—2361no—
1323C22⋊C4—2361no—
1324C22⋊C4—2361no—
1325C22⋊C4—2361no—
1326C22⋊C4—2361no—
1327C22⋊C4—2361no—
1328C22⋊C4—2361no—
1329C22⋊C4—2361no—
1330C22⋊C4—2361no—
1331C22⋊C4—2361no—
1332C22⋊C4—2361no—
1333C22⋊C4—2361no—
1334C22⋊C4—2361no—
1335C22⋊C4—2361no—
1336C22⋊C4—2361no—
1337C22⋊C4—2361no—
1338C22⋊C4—2361no—
1339C22⋊C4—2361no—
1340C22⋊C4—2361no—
1341C22⋊C4—2361no—
1342C22⋊C4—2361no—
1343C22⋊C4—2361no—
1344C42—22no—
1345C42—41no—
1346C42—41no—
1347C42—1182no—
1348C42—2361no—
1349C42—2361no—
1350C42—2361no—
1351C42—2361no—
1352C42—2361no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—592no—
1382C23—592no—
1383C23—592no—
1384C23—1181no—
1385C23—1181no—
1386C23—1181no—
1387C23—1181no—
1388C23—1181no—
1389C23—1181no—
1390C23—1181no—
1391C23—1181no—
1392C23—1181no—
1393C23—1181no—
1394C23—1181no—
1395C23—4722no—
1396C23—4722no—
1397C23—4722no—
1398C23—4722no—
1399C23—2364no—
1400C23—2364no—
1401C23—2364no—
1402C23C24×D5911yescharacteristic
1403Q8—82no—
1404Q8—2364no—
1405D4—44no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—4722no—
1412D4—4722no—
1413D4—4722no—
1414D4—2364no—
1415D4—2364no—
1416D4—2364no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—592no—
1449C2×C4—1188no—
1450C2×C4—1181no—
1451C2×C4—1181no—
1452C2×C4—1181no—
1453C2×C4—1181no—
1454C2×C4—1181no—
1455C2×C4—1181no—
1456C2×C4—1181no—
1457C2×C4—1181no—
1458C2×C4—1181no—
1459C2×C4—1181no—
1460C2×C4—1181no—
1461C2×C4—1181no—
1462C2×C4—1181no—
1463C2×C4—1181no—
1464C2×C4—1181no—
1465C2×C4—1181no—
1466C2×C4—1181no—
1467C2×C4—1181no—
1468C2×C4—1181no—
1469C2×C4—1181no—
1470C2×C4—1181no—
1471C2×C4—1181no—
1472C2×C4—1181no—
1473C2×C4—1181no—
1474C2×C4—1181no—
1475C2×C4—1181no—
1476C2×C4—1181no—
1477C2×C4—1181no—
1478C2×C4—1181no—
1479C2×C4—1181no—
1480C2×C4—1181no—
1481C2×C4—1181no—
1482C2×C4—1181no—
1483C2×C4—1181no—
1484C2×C4—1181no—
1485C2×C4—1181no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—4722no—
1492C2×C4—4722no—
1493C2×C4—4722no—
1494C2×C4—2364no—
1495C2×C4—2364no—
1496C2×C4—2364no—
1497C2×C4—2364no—
1498C2×C4—2364no—
1499C2×C4#41×D5912yes—
1500C2×C4#1427377212yes—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—594no—
1530C22—1182no—
1531C22—1182no—
1532C22—1182no—
1533C22—1182no—
1534C22—1182no—
1535C22—1182no—
1536C22—4728no—
1537C22—2361no—
1538C22—2361no—
1539C22—2361no—
1540C22—2361no—
1541C22—2361no—
1542C22—2361no—
1543C22—2361no—
1544C22C2×#41×D5911yescharacteristic
1545C22H(5,𝔽2)×D5911yescharacteristic
1546C22H(5,𝔽2)×D5911yescharacteristic
1547C22C2×#1427377211yescharacteristic
1548C22#1683823711yescharacteristic
1549C22#1683823711yescharacteristic
1550C22#1683823811yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—1182no—
1563C4—2361no—
1564C4—2361no—
1565C4—2361no—
1566C4—2361no—
1567C4—2361no—
1568C4—2361no—
1569C4—2361no—
1570C4—2361no—
1571C4—2361no—
1572C4—2361no—
1573C4—2361no—
1574C4—2361no—
1575C4—2361no—
1576C2—81no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—1184no—
1581C2—4721no—
1582C2#538×D5911yescharacteristic
1583C2#2143780711yescharacteristic
1584C2#2143794011yescharacteristic
1585C2#2143827611yescharacteristic
1586C2#2143840211yescharacteristic
1587C2#2143845111yescharacteristic
1588C2#2143864111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2733C2
hypercenter#2733D59
hypocenterC59#36795
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2733

Complements

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

NH ≅ G/Ntype
1. #21432410C2semidirect
2. #21432392C2semidirect
3. #21432074C2semidirect
4. #21432035C2semidirect
5. #21432025C2semidirect
6. #21431817C2semidirect
7. #21431759C2semidirect
8. #21431730C2semidirect
9. #21431707C2semidirect
10. #21431672C2semidirect
11. #21431457C2semidirect
12. #21431420C2semidirect
13. #21431411C2semidirect
14. #21431343C2semidirect
15. #21430901C2semidirect
16. #21430894C2semidirect
17. #21430496C2semidirect
18. #21429868C2semidirect
19. #21429829C2semidirect
20. #21428655C2semidirect
21. #21428218C2semidirect
22. #21427839C2semidirect
23. #21427769C2semidirect
24. #21427699C2semidirect
25. #21427635C2semidirect
26. #21427478C2semidirect
27. #21427410C2semidirect
28. #21426766C2semidirect
29. #21426686C2semidirect
30. #388×D59C2semidirect
31. C59×#2733C2semidirect
33. C2×#14273720C22semidirect
49. C59⋊#401C22semidirect
50. #16837344C22semidirect
51. #16837343C22semidirect
52. #16837340C22semidirect
53. #16837336C22semidirect
54. #16837332C22semidirect
58. #16837330C22semidirect
59. #16837330C22semidirect
60. #16837330C22semidirect
61. #16837330C22semidirect
69. #16837323C22semidirect
70. #16837321C22semidirect
84. #16837316C22semidirect
87. #16837314C22semidirect
91. #16837309C22semidirect
92. #16837308C22semidirect
93. #16837307C22semidirect
95. #16837305C22semidirect
96. #16837305C22semidirect
99. #16837300C22semidirect
100. #16837299C22semidirect
101. #16837297C22semidirect
104. #16837296C22semidirect
105. #16837296C22semidirect
106. #16837296C22semidirect
109. #16837295C22semidirect
118. #16837290C22semidirect
119. #16837290C22semidirect
120. #16837290C22semidirect
121. #16837290C22semidirect
122. #16837290C22semidirect
123. #16837289C22semidirect
124. #16837289C22semidirect
125. #16837288C22semidirect
126. #16837288C22semidirect
127. #16837286C22semidirect
128. #16837286C22semidirect
129. #16837286C22semidirect
130. #16837285C22semidirect
131. #16837285C22semidirect
135. #16837282C22semidirect
136. #16837282C22semidirect
137. #16837282C22semidirect
150. #16837277C22semidirect
151. #16837277C22semidirect
152. #16837277C22semidirect
155. #16837274C22semidirect
158. #16837269C22semidirect
159. #16837269C22semidirect
160. #16837268C22semidirect
162. #16837263C22semidirect
164. #16837260C22semidirect
165. #16837260C22semidirect
166. #16837260C22semidirect
167. #16837260C22semidirect
173. C2×#124×C59C22semidirect
175. C59×#394C22semidirect
179. C59×#392C22semidirect
180. C59×#391C22semidirect
182. C59×#390C22semidirect
184. C59×#388C22semidirect
185. C59×#388C22semidirect
186. C59×#388C22semidirect
796. #2733D59semidirect
829. C2×#124C2×D59semidirect
882. #394C2×D59semidirect
892. #392C2×D59semidirect
896. #391C2×D59semidirect
903. #390C2×D59semidirect
929. #388C2×D59semidirect
930. #388C2×D59semidirect
931. #388C2×D59semidirect
981. C59#36795semidirect

Maximal subgroups

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

subgroupindex
#214324102
#214323922
#214320742
#214320352
#214320252
#214318172
#214317592
#214317302
#214317072
#214316722
#214314572
#214314202
#214314112
#214313432
#214309012
#214308942
#214304962
#214298682
#214298292
#214286552
#214282182
#214278392
#214277692
#214276992
#214276352
#214274782
#214274102
#214267662
#214266862
#388×D592
C59×#27332
#3679559