Finite Group Databasebeta

← #28795777

Subgroups — #28795777

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×#16837986C211yesmaximal, characteristic, complemented
2C2×#16837908C211yesmaximal, characteristic, complemented
3#21432390C211yesmaximal, characteristic, complemented
4#21432376C211yesmaximal, characteristic, complemented
5#21430772C211yesmaximal, characteristic, complemented
6#21430725C211yesmaximal, characteristic, complemented
7#21430688C211yesmaximal, characteristic, complemented
8#21430684C211yesmaximal, characteristic, complemented
9#21430516C211yesmaximal, characteristic, complemented
10#21430463C211yesmaximal, characteristic, complemented
11#21430447C211yesmaximal, characteristic, complemented
12#21430446C211yesmaximal, characteristic, complemented
13#21430430C211yesmaximal, characteristic, complemented
14#21430425C211yesmaximal, characteristic, complemented
15#21430416C211yesmaximal, characteristic, complemented
16#21430414C211yesmaximal, characteristic, complemented
17#21430342C211yesmaximal, characteristic, complemented
18#21430310C211yesmaximal, characteristic, complemented
19#21430307C211yesmaximal, characteristic, complemented
20#21429979C211yesmaximal, characteristic, complemented
21#21429934C211yesmaximal, characteristic, complemented
22#21429784C211yesmaximal, characteristic, complemented
23#21429716C211yesmaximal, characteristic, complemented
24#21429690C211yesmaximal, characteristic, complemented
25#21429681C211yesmaximal, characteristic, complemented
26#21429066C211yesmaximal, characteristic, complemented
27#21428981C211yesmaximal, characteristic, complemented
28#21427439C211yesmaximal, characteristic, complemented
29#21427410C211yesmaximal, characteristic, complemented
30#21426737C211yesmaximal, characteristic, complemented
31C59×#2670C211yesmaximal, characteristic, complemented
32C22×#11745687C2211yescharacteristic
33C24×Dic59C2211yescharacteristic, complemented
34#16837986—28no—
35C2×#14273723C2211yescharacteristic
36C2×#14273721C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273716C2211yescharacteristic, complemented
39#16837908—28no—
40C2×#14273711C2211yescharacteristic
41C2×#14273711C2211yescharacteristic
42C2×#14273711C2211yescharacteristic
43C2×#14273709C2211yescharacteristic
44C2×#14273709C2211yescharacteristic, complemented
45C2×#14273708C2211yescharacteristic, complemented
46C2×#14273707C2211yescharacteristic, complemented
47C2×#14273704C2211yescharacteristic, complemented
48C2×#14273704C2211yescharacteristic, complemented
49C2×#14273703C2211yescharacteristic, complemented
50C2×#14273700C2211yescharacteristic
51C2×#14273700C2211yescharacteristic
52C2×#14273699C2211yescharacteristic
53C2×#14273699C2211yescharacteristic
54C2×#14273699C2211yescharacteristic
55C2×#14273699C2211yescharacteristic
56C2×#14273699C2211yescharacteristic
57C2×#14273698C2211yescharacteristic, complemented
58C2×#14273697C2211yescharacteristic, complemented
59C2×#14273696C2211yescharacteristic
60C2×#14273696C2211yescharacteristic
61C2×#14273696C2211yescharacteristic, complemented
62C2×#14273695C2211yescharacteristic
63C2×#14273695C2211yescharacteristic
64C2×#14273695C2211yescharacteristic
65C2×#14273695C2211yescharacteristic, complemented
66C2×C4×D236C2211yescharacteristic, complemented
67C2×D4×Dic59C2211yescharacteristic, complemented
68C2×D4×Dic59C2211yescharacteristic, complemented
69C2×(C22⋊D59)⋊C4C2211yescharacteristic
70C2×(C22⋊D59)⋊C4C2211yescharacteristic
71C2×#14273683C2211yescharacteristic, complemented
72C2×C22⋊C4×D59C2211yescharacteristic, complemented
73#16837344C2211yescharacteristic, complemented
74#16837338C2211yescharacteristic, complemented
75#16837334C2211yescharacteristic, complemented
76#16837334C2211yescharacteristic, complemented
77#16837333C2211yescharacteristic, complemented
78#16837330C2211yescharacteristic, complemented
79#16837329C2211yescharacteristic, complemented
80#16837327C2211yescharacteristic, complemented
81#16837325C2211yescharacteristic, complemented
82#16837325C2211yescharacteristic, complemented
83#16837325C2211yescharacteristic, complemented
84#16837325C2211yescharacteristic, complemented
85#16837324C2211yescharacteristic, complemented
86#16837324C2211yescharacteristic, complemented
87#16837321C2211yescharacteristic, complemented
88#16837320C2211yescharacteristic, complemented
89#16837319C2211yescharacteristic, complemented
90#16837318C2211yescharacteristic
91#16837318C2211yescharacteristic
92#16837318C2211yescharacteristic
93#16837318C2211yescharacteristic, complemented
94#16837318C2211yescharacteristic, complemented
95#16837318C2211yescharacteristic, complemented
96#16837317C2211yescharacteristic
97#16837317C2211yescharacteristic
98#16837317C2211yescharacteristic, complemented
99#16837317C2211yescharacteristic, complemented
100#16837317C2211yescharacteristic, complemented
101#16837317C2211yescharacteristic, complemented
102#16837316C2211yescharacteristic
103#16837316C2211yescharacteristic
104#16837316C2211yescharacteristic, complemented
105#16837315C2211yescharacteristic, complemented
106#16837314C2211yescharacteristic, complemented
107#16837311C2211yescharacteristic
108#16837311C2211yescharacteristic
109#16837311C2211yescharacteristic
110#16837311C2211yescharacteristic, complemented
111#16837310C2211yescharacteristic
112#16837310C2211yescharacteristic
113#16837310C2211yescharacteristic, complemented
114#16837310C2211yescharacteristic, complemented
115#16837309C2211yescharacteristic, complemented
116#16837308C2211yescharacteristic, complemented
117#16837305C2211yescharacteristic
118#16837305C2211yescharacteristic, complemented
119#16837304C2211yescharacteristic, complemented
120#16837302C2211yescharacteristic
121#16837302C2211yescharacteristic
122#16837302C2211yescharacteristic
123#16837302C2211yescharacteristic, complemented
124#16837300C2211yescharacteristic, complemented
125#16837299C2211yescharacteristic, complemented
126#16837297C2211yescharacteristic, complemented
127#16837296C2211yescharacteristic, complemented
128#16837296C2211yescharacteristic, complemented
129#16837295C2211yescharacteristic, complemented
130#16837295C2211yescharacteristic, complemented
131#16837293C2211yescharacteristic, complemented
132#16837291C2211yescharacteristic, complemented
133#16837291C2211yescharacteristic, complemented
134#16837291C2211yescharacteristic, complemented
135#16837291C2211yescharacteristic, complemented
136#16837291C2211yescharacteristic, complemented
137#16837290C2211yescharacteristic, complemented
138#16837290C2211yescharacteristic, complemented
139#16837288C2211yescharacteristic, complemented
140#16837286C2211yescharacteristic, complemented
141#16837282C2211yescharacteristic
142#16837282C2211yescharacteristic
143#16837282C2211yescharacteristic
144#16837282C2211yescharacteristic, complemented
145#16837279C2211yescharacteristic
146#16837279C2211yescharacteristic
147#16837279C2211yescharacteristic
148#16837279C2211yescharacteristic
149#16837279C2211yescharacteristic, complemented
150#16837279C2211yescharacteristic, complemented
151#16837279C2211yescharacteristic, complemented
152#16837279C2211yescharacteristic, complemented
153#16837279C2211yescharacteristic, complemented
154#16837278C2211yescharacteristic
155#16837278C2211yescharacteristic, complemented
156#16837278C2211yescharacteristic, complemented
157#16837277C2211yescharacteristic, complemented
158#16837277C2211yescharacteristic, complemented
159#16837277C2211yescharacteristic, complemented
160#16837277C2211yescharacteristic, complemented
161#16837277C2211yescharacteristic, complemented
162#16837276C2211yescharacteristic, complemented
163#16837264C2211yescharacteristic, complemented
164#16837264C2211yescharacteristic, complemented
165#16837263C2211yescharacteristic, complemented
166#16837263C2211yescharacteristic, complemented
167#16837260C2211yescharacteristic, complemented
168#16837260C2211yescharacteristic, complemented
169#16837260C2211yescharacteristic, complemented
170#16837259C2211yescharacteristic, complemented
171#16837257C2211yescharacteristic, complemented
172C4×Dic59⋊C4C2211yescharacteristic, complemented
173#16837247C2211yescharacteristic, complemented
174C2×#124×C59C2211yescharacteristic
175C2×#124×C59C2211yescharacteristic, complemented
176C2×#120×C59C2211yescharacteristic
177C2×#120×C59C2211yescharacteristic, complemented
178C59×#394C2211yescharacteristic
179C59×#394C2211yescharacteristic, complemented
180C59×#393C2211yescharacteristic, complemented
181C59×#392C2211yescharacteristic
182C59×#392C2211yescharacteristic
183C59×#392C2211yescharacteristic
184C59×#390C2211yescharacteristic
185C59×#390C2211yescharacteristic, complemented
186C59×#388C2211yescharacteristic, complemented
187C59×#388C2211yescharacteristic, complemented
188C59×#379C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C2×#11745687—24no—
191C2×#11745687—42no—
192C2×#11745687—42no—
193C22×Dic118C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
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
209C23×Dic59—24no—
210C23×Dic59—42no—
211C23×Dic59—42no—
212C23×Dic59C2311yescharacteristic
213C23×Dic59C2311yescharacteristic
214C23×Dic59C2311yescharacteristic
215C23×Dic59C2311yescharacteristic
216C23×Dic59C2311yescharacteristic
217C23×Dic59C2311yescharacteristic
218C23×Dic59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222#14273723—42no—
223#14273721—24no—
224#14273720—24no—
225#14273716—24no—
226#14273711—24no—
227#14273711—24no—
228#14273711—42no—
229#14273709—24no—
230#14273709—42no—
231#14273708—24no—
232#14273707—42no—
233#14273704—24no—
234#14273704—24no—
235#14273703—24no—
236#14273700—24no—
237#14273700—24no—
238#14273699—24no—
239#14273699—24no—
240#14273699—24no—
241#14273699—42no—
242#14273699—42no—
243#14273698—42no—
244#14273697—24no—
245#14273696—24no—
246#14273696—42no—
247#14273696—42no—
248#14273695—24no—
249#14273695—42no—
250#14273695—42no—
251#14273695—42no—
252C4×D236—24no—
253D4×Dic59—24no—
254D4×Dic59—24no—
255(C22⋊D59)⋊C4—24no—
256(C22⋊D59)⋊C4D418yescomplemented
257#14273683—24no—
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
260C2×C4⋊Dic59C2311yescharacteristic
261C2×C4⋊Dic59C2311yescharacteristic
262C2×C4⋊Dic59C2311yescharacteristic
263C2×C4⋊Dic59C2311yescharacteristic
264C2×C4⋊Dic59C2311yescharacteristic
265C2×C4⋊Dic59C2311yescharacteristic
266C2×C4⋊Dic59C2311yescharacteristic
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×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×Dic59⋊C4C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2311yescharacteristic
295C2×C22⋊Dic59C2311yescharacteristic
296C2×C22⋊Dic59C2311yescharacteristic
297C2×C22⋊Dic59C2311yescharacteristic
298C2×C22⋊Dic59C2311yescharacteristic
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
322C22⋊C4×D59—24no—
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
352C25×C59C2311yescharacteristic
353C22×Q8×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C22×D4×C59C2311yescharacteristic
357C22×D4×C59C2311yescharacteristic
358C22×D4×C59C2311yescharacteristic
359C22×D4×C59C2311yescharacteristic
360C22×D4×C59C2311yescharacteristic
361#124×C59—24no—
362#124×C59—42no—
363#120×C59—24no—
364#120×C59—42no—
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊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×C42×C59C2311yescharacteristic
386C2×C42×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59—22no—
392C24×C59—22no—
393C24×C59—22no—
394C24×C59—41no—
395C24×C59—41no—
396C24×C59—41no—
397C24×C59—41no—
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C24×C59C2411yescharacteristic
401C24×C59C2411yescharacteristic
402C24×C59C2411yescharacteristic
403C23×D59—22no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59—41no—
407C23×D59—41no—
408C23×D59—41no—
409C23×D59—41no—
410C23×D59C2411yescharacteristic
411C23×D59C2411yescharacteristic
412C23×D59C2411yescharacteristic
413C2×Q8×C59—22no—
414C2×Q8×C59—41no—
415C2×Q8×C59—41no—
416C2×D4×C59—22no—
417C2×D4×C59—22no—
418C2×D4×C59—22no—
419C2×D4×C59—22no—
420C2×D4×C59—22no—
421C2×D4×C59—22no—
422C2×D4×C59—22no—
423C2×D4×C59—22no—
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—
431C2×D4×C59—41no—
432C2×D4×C59—41no—
433C2×D4×C59—41no—
434C2×D4×C59—41no—
435C2×D4×C59—41no—
436C2×D4×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
447C2×C22⋊D59—22no—
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—41no—
461C2×C22⋊D59—41no—
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—
484C2×C22⋊D59—41no—
485C2×C22⋊D59C2×D414yes—
486C22×Dic59—22no—
487C22×Dic59—22no—
488C22×Dic59—22no—
489C22×Dic59—22no—
490C22×Dic59—22no—
491C22×Dic59—22no—
492C22×Dic59—22no—
493C22×Dic59—22no—
494C22×Dic59—22no—
495C22×Dic59—22no—
496C22×Dic59—22no—
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—416no—
507C22×Dic59C2×D414yes—
508C22×Dic59C2411yescharacteristic
509C22×Dic59C2411yescharacteristic
510C22×Dic59C2411yescharacteristic
511C22×Dic59C2411yescharacteristic
512C22×Dic59C2411yescharacteristic
513C22×Dic59C2411yescharacteristic
514C22×Dic59C2411yescharacteristic
515C22×Dic59C2411yescharacteristic
516C22×Dic59C2411yescharacteristic
517C22×Dic59C2411yescharacteristic
518C22×Dic59C2411yescharacteristic
519C22×Dic59C2411yescharacteristic
520C22×Dic59C2411yescharacteristic
521#11745687—416no—
522C2×D236—22no—
523C2×D236—22no—
524C2×D236—41no—
525C2×D236—41no—
526C2×D236—41no—
527C2×D236—41no—
528C2×C4×D59—22no—
529C2×C4×D59—22no—
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×D59C2×D414yes—
537C2×Dic118—22no—
538C2×Dic118—22no—
539C2×Dic118—41no—
540C4⋊C4×C59—41no—
541C4⋊C4×C59—41no—
542C22⋊C4×C59—22no—
543C22⋊C4×C59—22no—
544C22⋊C4×C59—22no—
545C22⋊C4×C59—22no—
546C22⋊C4×C59—22no—
547C22⋊C4×C59—22no—
548C22⋊C4×C59—22no—
549C22⋊C4×C59—41no—
550C22⋊C4×C59—41no—
551C22⋊C4×C59—41no—
552C22⋊C4×C59—41no—
553C22⋊C4×C59—41no—
554C22⋊C4×C59—41no—
555C22⋊C4×C59—41no—
556C22⋊C4×C59—41no—
557C22⋊C4×C59—41no—
558C22⋊C4×C59—41no—
559C22⋊C4×C59C2×D414yes—
560C42×C59—22no—
561C42×C59—41no—
562C22⋊Dic59—22no—
563C22⋊Dic59—22no—
564C22⋊Dic59—22no—
565C22⋊Dic59—22no—
566C22⋊Dic59—22no—
567C22⋊Dic59—22no—
568C22⋊Dic59—22no—
569C22⋊Dic59—22no—
570C22⋊Dic59—22no—
571C22⋊Dic59—22no—
572C22⋊Dic59—41no—
573C22⋊Dic59—41no—
574C22⋊Dic59—41no—
575C22⋊Dic59—41no—
576C22⋊Dic59—41no—
577C22⋊Dic59—41no—
578C22⋊Dic59—41no—
579C22⋊Dic59—41no—
580C22⋊Dic59—41no—
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—41no—
592(C2×D59)⋊C4—41no—
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)⋊C4C2×D414yes—
604C4⋊Dic59—22no—
605C4⋊Dic59—22no—
606C4⋊Dic59—22no—
607C4⋊Dic59—22no—
608C4⋊Dic59—22no—
609C4⋊Dic59—41no—
610C4⋊Dic59—41no—
611C4⋊Dic59—41no—
612C4⋊Dic59—41no—
613Dic59⋊C4—22no—
614Dic59⋊C4—22no—
615Dic59⋊C4—22no—
616Dic59⋊C4—22no—
617Dic59⋊C4—22no—
618Dic59⋊C4—22no—
619Dic59⋊C4—41no—
620Dic59⋊C4—41no—
621Dic59⋊C4—41no—
622Dic59⋊C4—41no—
623Dic59⋊C4—41no—
624Dic59⋊C4—41no—
625Dic59⋊C4C2×D414yes—
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×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—44no—
664C23×C59—44no—
665C23×C59—44no—
666C23×C59—44no—
667C23×C59—44no—
668C23×C59—44no—
669C23×C59—44no—
670C23×C59C22×D412yes—
671C23×C59H(5,𝔽2)12yes—
672C23×C59H(5,𝔽2)12yes—
673C23×C59C2511yescharacteristic
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—21no—
686C22×D59—21no—
687C22×D59—21no—
688C22×D59—21no—
689C22×D59—21no—
690C22×D59—21no—
691C22×D59—21no—
692C22×D59—21no—
693C22×D59—21no—
694C22×D59—44no—
695C22×D59—82no—
696C22×D59—82no—
697C22×D59—82no—
698C22×D59—82no—
699C22×D59—82no—
700C22×D59—82no—
701C22×D59C22×D412yes—
702Q8×C59—82no—
703D4×C59—44no—
704D4×C59—44no—
705D4×C59—44no—
706D4×C59—82no—
707D4×C59—82no—
708D4×C59—82no—
709D4×C59—82no—
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×C59C22×D412yes—
739C2×C4×C59C22×D412yes—
740C22⋊D59—44no—
741C22⋊D59—44no—
742C22⋊D59—44no—
743C22⋊D59—44no—
744C22⋊D59—82no—
745C22⋊D59—82no—
746C22⋊D59—82no—
747C22⋊D59—82no—
748C22⋊D59—82no—
749C22⋊D59—82no—
750C22⋊D59—82no—
751C22⋊D59—82no—
752C22⋊D59—82no—
753C2×Dic59—28no—
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—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×Dic59—44no—
791C2×Dic59—44no—
792C2×Dic59—44no—
793C2×Dic59—44no—
794C2×Dic59—44no—
795C2×Dic59C22×D412yes—
796C2×Dic59C22×D412yes—
797C2×Dic59C22×D412yes—
798C2×Dic59H(5,𝔽2)12yes—
799D236—44no—
800D236—82no—
801C4×D59—44no—
802C4×D59—82no—
803C4×D59—82no—
804Dic118—44no—
805#36724—591nomaximal, Sylow
806C22×C59—22no—
807C22×C59—22no—
808C22×C59—22no—
809C22×C59—22no—
810C22×C59—22no—
811C22×C59—22no—
812C22×C59—22no—
813C22×C59—22no—
814C22×C59—22no—
815C22×C59—416no—
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×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59—41no—
840C22×C59—41no—
841C22×C59—41no—
842C22×C59C23×D411yescharacteristic
843C22×C59C2×H(5,𝔽2)11yescharacteristic
844C22×C59C2×H(5,𝔽2)11yescharacteristic
845C22×C59C2×H(5,𝔽2)11yescharacteristic
846C22×C59#58511yescharacteristic
847C22×C59#58511yescharacteristic
848C22×C59#58511yescharacteristic
849C2×D59—22no—
850C2×D59—22no—
851C2×D59—22no—
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—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878C4×C59—41no—
879C4×C59—41no—
880C4×C59—41no—
881Dic59—22no—
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#2682—591no—
904#2681—591no—
905#2681—591no—
906#2679—591no—
907#2678—591no—
908#2678—591no—
909#2678—591no—
910#2672—591no—
911#2670D5911yescharacteristic, complemented
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—42no—
927C2×C59—42no—
928C2×C59—81no—
929C2×C59—81no—
930C2×C59#344911yescharacteristic
931C2×C59#348411yescharacteristic
932C2×C59#348811yescharacteristic
933C2×C59#353311yescharacteristic
934C2×C59#353411yescharacteristic
935C2×C59#354011yescharacteristic
936C2×C59#354211yescharacteristic
937D59—42no—
938D59—81no—
939D59—81no—
940C22×#41—591no—
941C24×C4—591no—
942#538—1188no—
943C2×#127—591no—
944C2×#126—591no—
945C2×#126—591no—
946C2×#124—591no—
947C2×#124C2×D5911yescharacteristic
948C2×#124C2×D5911yescharacteristic, complemented
949#525—1188no—
950C2×#123—591no—
951C2×#123—591no—
952C2×#123—591no—
953C2×#123—591no—
954C2×#123—591no—
955C2×#123—591no—
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×#121—591no—
967C2×#121—591no—
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×#120C2×D5911yescharacteristic
977C2×#120C2×D5911yescharacteristic, complemented
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#396—591no—
998#396—591no—
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#393C2×D5911yescharacteristic, complemented
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#392C2×D5911yescharacteristic
1031#392C2×D5911yescharacteristic
1032#392C2×D5911yescharacteristic
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
1043#390C2×D5911yescharacteristic, complemented
1044#389—591no—
1045#389—591no—
1046#389—591no—
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#388C2×D5911yescharacteristic, complemented
1060#388C2×D5911yescharacteristic, complemented
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#385—591no—
1084#385—591no—
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#379C2×D5911yescharacteristic, complemented
1095C4×C4⋊C4—591no—
1096#376—591no—
1097C59#3672411yescharacteristic, complemented, Sylow
1098C25—591no—
1099C25C22×D5911yescharacteristic
1100C2×#41—1184no—
1101C2×#41—2362no—
1102C2×#41—2362no—
1103C22×Q8—591no—
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×D4C22×D5911yescharacteristic
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—591no—
1136C23×C4—591no—
1137C23×C4—1184no—
1138C23×C4—2362no—
1139C23×C4—2362no—
1140#127—2362no—
1141#126—1184no—
1142#126—1184no—
1143#124—24no—
1144#124—42no—
1145#124—1184no—
1146#123—1184no—
1147#123—1184no—
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—1184no—
1157#121—1184no—
1158#121—1184no—
1159#121—1184no—
1160#121—1184no—
1161#121—2362no—
1162#121—2362no—
1163#121—2362no—
1164#120—24no—
1165#120—42no—
1166#120—1184no—
1167#120—1184no—
1168#120—1184no—
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⋊C4—591no—
1197C2×C4⋊C4—591no—
1198C2×C4⋊C4—591no—
1199C2×C4⋊C4—591no—
1200C2×C4⋊C4—591no—
1201C2×C4⋊C4—591no—
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—1184no—
1247C2×C22⋊C4C22×D5911yescharacteristic
1248C2×C22⋊C4C22×D5911yescharacteristic
1249C2×C22⋊C4C22×D5911yescharacteristic
1250C2×C22⋊C4C22×D5911yescharacteristic
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×C42C22×D5911yescharacteristic
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—22no—
1301C24—22no—
1302C24—22no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—591no—
1308C24—591no—
1309C24—591no—
1310C24—1182no—
1311C24—2361no—
1312C24—2361no—
1313C24—2361no—
1314C24—2361no—
1315C24—2361no—
1316C24—2361no—
1317C24C23×D5911yescharacteristic
1318C24C23×D5911yescharacteristic
1319C24C23×D5911yescharacteristic
1320C24C23×D5911yescharacteristic
1321C24C23×D5911yescharacteristic
1322#41—23616no—
1323C2×Q8—22no—
1324C2×Q8—41no—
1325C2×Q8—41no—
1326C2×Q8—1182no—
1327C2×Q8—1182no—
1328C2×Q8—2361no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
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—41no—
1348C2×D4—41no—
1349C2×D4—41no—
1350C2×D4—594no—
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—591no—
1396C22×C4—591no—
1397C22×C4—591no—
1398C22×C4—591no—
1399C22×C4—594no—
1400C22×C4—594no—
1401C22×C4—591no—
1402C22×C4—591no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
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—2361no—
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×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—41no—
1450C4⋊C4—41no—
1451C4⋊C4—594no—
1452C4⋊C4—1182no—
1453C4⋊C4—1182no—
1454C4⋊C4—1182no—
1455C4⋊C4—1182no—
1456C4⋊C4—1182no—
1457C4⋊C4—1182no—
1458C4⋊C4—1182no—
1459C4⋊C4—1182no—
1460C4⋊C4—1182no—
1461C4⋊C4—1182no—
1462C4⋊C4—1182no—
1463C4⋊C4—2361no—
1464C4⋊C4—2361no—
1465C4⋊C4—2361no—
1466C4⋊C4—2361no—
1467C4⋊C4—2361no—
1468C4⋊C4—2361no—
1469C4⋊C4—2361no—
1470C4⋊C4—2361no—
1471C4⋊C4—2361no—
1472C4⋊C4—2361no—
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—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—594no—
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—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⋊C4D4×D5914yes—
1533C42—22no—
1534C42—41no—
1535C42—594no—
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—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—44no—
1579C23—592no—
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—1181no—
1596C23—1181no—
1597C23—1181no—
1598C23—1181no—
1599C23—1181no—
1600C23—4722no—
1601C23—4722no—
1602C23—4722no—
1603C23—4722no—
1604C23—4722no—
1605C23—4722no—
1606C23—2364no—
1607C23C2×D4×D5912yes—
1608C23#1427377212yes—
1609C23#1427377312yes—
1610C23C24×D5911yescharacteristic
1611Q8—82no—
1612Q8—2364no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—4722no—
1621D4—4722no—
1622D4—4722no—
1623D4—4722no—
1624D4—4722no—
1625D4—4722no—
1626D4—4722no—
1627D4—4722no—
1628D4—4722no—
1629D4—4722no—
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—592no—
1664C2×C4—592no—
1665C2×C4—592no—
1666C2×C4—592no—
1667C2×C4—1188no—
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—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—4722no—
1704C2×C4—4722no—
1705C2×C4—2364no—
1706C2×C4—2364no—
1707C2×C4—2364no—
1708C2×C4—2364no—
1709C2×C4—2364no—
1710C2×C4—2364no—
1711C2×C4—2364no—
1712C2×C4C2×D4×D5912yes—
1713C2×C4C2×D4×D5912yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—416no—
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—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—1182no—
1751C22—1182no—
1752C22—1182no—
1753C22—4728no—
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
1774C22C2×#1427377211yescharacteristic
1775C22C2×#1427377311yescharacteristic
1776C22#1683823711yescharacteristic
1777C22#1683823711yescharacteristic
1778C22#1683823711yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—1182no—
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—42no—
1804C2—42no—
1805C2—81no—
1806C2—81no—
1807C2—4721no—
1808C2—4721no—
1809C2—2362no—
1810C2#2143742711yescharacteristic
1811C2#2143772611yescharacteristic
1812C2#2143775611yescharacteristic
1813C2#2143826411yescharacteristic
1814C2#2143828211yescharacteristic
1815C2#2143836911yescharacteristic
1816C2#2143839911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2670C2
hypercenter#2670D59
hypocenterC59#36724
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2670

Complements

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

NH ≅ G/Ntype
1. C2×#16837986C2semidirect
2. C2×#16837908C2semidirect
3. #21432390C2semidirect
4. #21432376C2semidirect
5. #21430772C2semidirect
6. #21430725C2semidirect
7. #21430688C2semidirect
8. #21430684C2semidirect
9. #21430516C2semidirect
10. #21430463C2semidirect
11. #21430447C2semidirect
12. #21430446C2semidirect
13. #21430430C2semidirect
14. #21430425C2semidirect
15. #21430416C2semidirect
16. #21430414C2semidirect
17. #21430342C2semidirect
18. #21430310C2semidirect
19. #21430307C2semidirect
20. #21429979C2semidirect
21. #21429934C2semidirect
22. #21429784C2semidirect
23. #21429716C2semidirect
24. #21429690C2semidirect
25. #21429681C2semidirect
26. #21429066C2semidirect
27. #21428981C2semidirect
28. #21427439C2semidirect
29. #21427410C2semidirect
30. #21426737C2semidirect
31. C59×#2670C2semidirect
33. C24×Dic59C22semidirect
36. C2×#14273721C22semidirect
37. C2×#14273720C22semidirect
38. C2×#14273716C22semidirect
44. C2×#14273709C22semidirect
45. C2×#14273708C22semidirect
46. C2×#14273707C22semidirect
47. C2×#14273704C22semidirect
48. C2×#14273704C22semidirect
49. C2×#14273703C22semidirect
57. C2×#14273698C22semidirect
58. C2×#14273697C22semidirect
61. C2×#14273696C22semidirect
65. C2×#14273695C22semidirect
66. C2×C4×D236C22semidirect
67. C2×D4×Dic59C22semidirect
68. C2×D4×Dic59C22semidirect
71. C2×#14273683C22semidirect
72. C2×C22⋊C4×D59C22semidirect
73. #16837344C22semidirect
74. #16837338C22semidirect
75. #16837334C22semidirect
76. #16837334C22semidirect
77. #16837333C22semidirect
78. #16837330C22semidirect
79. #16837329C22semidirect
80. #16837327C22semidirect
81. #16837325C22semidirect
82. #16837325C22semidirect
83. #16837325C22semidirect
84. #16837325C22semidirect
85. #16837324C22semidirect
86. #16837324C22semidirect
87. #16837321C22semidirect
88. #16837320C22semidirect
89. #16837319C22semidirect
93. #16837318C22semidirect
94. #16837318C22semidirect
95. #16837318C22semidirect
98. #16837317C22semidirect
99. #16837317C22semidirect
100. #16837317C22semidirect
101. #16837317C22semidirect
104. #16837316C22semidirect
105. #16837315C22semidirect
106. #16837314C22semidirect
110. #16837311C22semidirect
113. #16837310C22semidirect
114. #16837310C22semidirect
115. #16837309C22semidirect
116. #16837308C22semidirect
118. #16837305C22semidirect
119. #16837304C22semidirect
123. #16837302C22semidirect
124. #16837300C22semidirect
125. #16837299C22semidirect
126. #16837297C22semidirect
127. #16837296C22semidirect
128. #16837296C22semidirect
129. #16837295C22semidirect
130. #16837295C22semidirect
131. #16837293C22semidirect
132. #16837291C22semidirect
133. #16837291C22semidirect
134. #16837291C22semidirect
135. #16837291C22semidirect
136. #16837291C22semidirect
137. #16837290C22semidirect
138. #16837290C22semidirect
139. #16837288C22semidirect
140. #16837286C22semidirect
144. #16837282C22semidirect
149. #16837279C22semidirect
150. #16837279C22semidirect
151. #16837279C22semidirect
152. #16837279C22semidirect
153. #16837279C22semidirect
155. #16837278C22semidirect
156. #16837278C22semidirect
157. #16837277C22semidirect
158. #16837277C22semidirect
159. #16837277C22semidirect
160. #16837277C22semidirect
161. #16837277C22semidirect
162. #16837276C22semidirect
163. #16837264C22semidirect
164. #16837264C22semidirect
165. #16837263C22semidirect
166. #16837263C22semidirect
167. #16837260C22semidirect
168. #16837260C22semidirect
169. #16837260C22semidirect
170. #16837259C22semidirect
171. #16837257C22semidirect
172. C4×Dic59⋊C4C22semidirect
173. #16837247C22semidirect
175. C2×#124×C59C22semidirect
177. C2×#120×C59C22semidirect
179. C59×#394C22semidirect
180. C59×#393C22semidirect
185. C59×#390C22semidirect
186. C59×#388C22semidirect
187. C59×#388C22semidirect
188. C59×#379C22semidirect
256. (C22⋊D59)⋊C4D4semidirect
911. #2670D59semidirect
948. C2×#124C2×D59semidirect
977. C2×#120C2×D59semidirect
1018. #394C2×D59semidirect
1021. #393C2×D59semidirect
1043. #390C2×D59semidirect
1059. #388C2×D59semidirect
1060. #388C2×D59semidirect
1094. #379C2×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×#168379862
C2×#168379082
#214323902
#214323762
#214307722
#214307252
#214306882
#214306842
#214305162
#214304632
#214304472
#214304462
#214304302
#214304252
#214304162
#214304142
#214303422
#214303102
#214303072
#214299792
#214299342
#214297842
#214297162
#214296902
#214296812
#214290662
#214289812
#214274392
#214274102
#214267372
C59×#26702
#3672459