Finite Group Databasebeta

← #28796092

Subgroups — #28796092

Order 15104.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837991C211yesmaximal, characteristic, complemented
2C2×#16837963C211yesmaximal, characteristic, complemented
3#21432442C211yesmaximal, characteristic, complemented
4#21432394C211yesmaximal, characteristic, complemented
5#21430941C211yesmaximal, characteristic, complemented
6#21430842C211yesmaximal, characteristic, complemented
7#21430839C211yesmaximal, characteristic, complemented
8#21430786C211yesmaximal, characteristic, complemented
9#21430785C211yesmaximal, characteristic, complemented
10#21430738C211yesmaximal, characteristic, complemented
11#21430733C211yesmaximal, characteristic, complemented
12#21430481C211yesmaximal, characteristic, complemented
13#21430480C211yesmaximal, characteristic, complemented
14#21430427C211yesmaximal, characteristic, complemented
15#21430426C211yesmaximal, characteristic, complemented
16#21430324C211yesmaximal, characteristic, complemented
17#21430320C211yesmaximal, characteristic, complemented
18#21430311C211yesmaximal, characteristic, complemented
19#21430311C211yesmaximal, characteristic, complemented
20#21430199C211yesmaximal, characteristic, complemented
21#21430028C211yesmaximal, characteristic, complemented
22#21429061C211yesmaximal, characteristic, complemented
23#21429057C211yesmaximal, characteristic, complemented
24#21427534C211yesmaximal, characteristic, complemented
25#21427531C211yesmaximal, characteristic, complemented
26#21427468C211yesmaximal, characteristic, complemented
27#21427468C211yesmaximal, characteristic, complemented
28#21427465C211yesmaximal, characteristic, complemented
29#21427465C211yesmaximal, characteristic, complemented
30#388×D59C211yesmaximal, characteristic, complemented
31C59×#2718C211yesmaximal, characteristic, complemented
32C23×D236C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34#16837991—28no—
35#16837963—28no—
36C2×#14273724C2211yescharacteristic, complemented
37C2×#14273722C2211yescharacteristic, complemented
38C2×#14273715C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273713C2211yescharacteristic, complemented
41C2×#14273712C2211yescharacteristic
42C2×#14273712C2211yescharacteristic
43C2×#14273712C2211yescharacteristic, complemented
44C2×#14273710C2211yescharacteristic
45C2×#14273709C2211yescharacteristic, complemented
46C2×#14273705C2211yescharacteristic, complemented
47C2×#14273702C2211yescharacteristic
48C2×#14273702C2211yescharacteristic
49C2×#14273702C2211yescharacteristic, complemented
50C2×#14273702C2211yescharacteristic, complemented
51C2×#14273702C2211yescharacteristic, complemented
52C2×#14273702C2211yescharacteristic, complemented
53C2×#14273702C2211yescharacteristic, complemented
54C2×#14273702C2211yescharacteristic, complemented
55C2×#14273702C2211yescharacteristic, complemented
56C2×#14273702C2211yescharacteristic, complemented
57C2×#14273702C2211yescharacteristic, complemented
58C2×#14273700C2211yescharacteristic
59C2×#14273700C2211yescharacteristic
60C2×#14273700C2211yescharacteristic, complemented
61C2×#14273700C2211yescharacteristic, complemented
62C2×#14273700C2211yescharacteristic, complemented
63C2×#14273700C2211yescharacteristic, complemented
64C2×#14273697C2211yescharacteristic
65C2×#14273697C2211yescharacteristic
66C2×#14273697C2211yescharacteristic
67C2×#14273697C2211yescharacteristic
68C2×#14273697C2211yescharacteristic
69C2×#14273697C2211yescharacteristic, complemented
70C2×#14273697C2211yescharacteristic, complemented
71C2×#14273697C2211yescharacteristic, complemented
72C2×#14273697C2211yescharacteristic, complemented
73C2×#14273695C2211yescharacteristic
74C2×C4×D236C2211yescharacteristic, complemented
75C2×#14273689C2211yescharacteristic, complemented
76C2×C4⋊C4×D59C2211yescharacteristic, complemented
77C2×C22⋊C4×D59C2211yescharacteristic
78C2×C22⋊C4×D59C2211yescharacteristic
79C2×C22⋊C4×D59C2211yescharacteristic
80C2×C42×D59C2211yescharacteristic, complemented
81#16837340C2211yescharacteristic, complemented
82#16837337C2211yescharacteristic, complemented
83#16837337C2211yescharacteristic, complemented
84#16837337C2211yescharacteristic, complemented
85#16837335C2211yescharacteristic, complemented
86#16837331C2211yescharacteristic, complemented
87#16837331C2211yescharacteristic, complemented
88#16837331C2211yescharacteristic, complemented
89#16837328C2211yescharacteristic, complemented
90#16837324C2211yescharacteristic, complemented
91#16837324C2211yescharacteristic, complemented
92#16837324C2211yescharacteristic, complemented
93#16837320C2211yescharacteristic, complemented
94#16837320C2211yescharacteristic, complemented
95#16837320C2211yescharacteristic, complemented
96#16837319C2211yescharacteristic
97#16837319C2211yescharacteristic
98#16837319C2211yescharacteristic
99#16837319C2211yescharacteristic
100#16837319C2211yescharacteristic, complemented
101#16837319C2211yescharacteristic, complemented
102#16837319C2211yescharacteristic, complemented
103#16837318C2211yescharacteristic, complemented
104#16837318C2211yescharacteristic, complemented
105#16837317C2211yescharacteristic
106#16837317C2211yescharacteristic
107#16837315C2211yescharacteristic, complemented
108#16837315C2211yescharacteristic, complemented
109#16837312C2211yescharacteristic
110#16837312C2211yescharacteristic
111#16837312C2211yescharacteristic
112#16837312C2211yescharacteristic
113#16837312C2211yescharacteristic, complemented
114#16837312C2211yescharacteristic, complemented
115#16837311C2211yescharacteristic
116#16837311C2211yescharacteristic
117#16837311C2211yescharacteristic, complemented
118#16837311C2211yescharacteristic, complemented
119#16837311C2211yescharacteristic, complemented
120#16837311C2211yescharacteristic, complemented
121#16837310C2211yescharacteristic
122#16837310C2211yescharacteristic
123#16837306C2211yescharacteristic, complemented
124#16837304C2211yescharacteristic, complemented
125#16837303C2211yescharacteristic, complemented
126#16837303C2211yescharacteristic, complemented
127#16837303C2211yescharacteristic, complemented
128#16837303C2211yescharacteristic, complemented
129#16837303C2211yescharacteristic, complemented
130#16837303C2211yescharacteristic, complemented
131#16837302C2211yescharacteristic, complemented
132#16837302C2211yescharacteristic, complemented
133#16837297C2211yescharacteristic, complemented
134#16837296C2211yescharacteristic, complemented
135#16837296C2211yescharacteristic, complemented
136#16837295C2211yescharacteristic, complemented
137#16837294C2211yescharacteristic, complemented
138#16837293C2211yescharacteristic, complemented
139#16837293C2211yescharacteristic, complemented
140#16837293C2211yescharacteristic, complemented
141#16837292C2211yescharacteristic, complemented
142#16837292C2211yescharacteristic, complemented
143#16837292C2211yescharacteristic, complemented
144#16837292C2211yescharacteristic, complemented
145#16837291C2211yescharacteristic, complemented
146#16837290C2211yescharacteristic, complemented
147#16837281C2211yescharacteristic, complemented
148#16837281C2211yescharacteristic, complemented
149#16837280C2211yescharacteristic, complemented
150#16837280C2211yescharacteristic, complemented
151#16837280C2211yescharacteristic, complemented
152#16837280C2211yescharacteristic, complemented
153#16837280C2211yescharacteristic, complemented
154#16837280C2211yescharacteristic, complemented
155#16837280C2211yescharacteristic, complemented
156#16837280C2211yescharacteristic, complemented
157#16837280C2211yescharacteristic, complemented
158#16837280C2211yescharacteristic, complemented
159#16837280C2211yescharacteristic, complemented
160#16837278C2211yescharacteristic, complemented
161#16837278C2211yescharacteristic, complemented
162#16837278C2211yescharacteristic, complemented
163#16837273C2211yescharacteristic, complemented
164#16837273C2211yescharacteristic, complemented
165#16837266C2211yescharacteristic, complemented
166#16837261C2211yescharacteristic, complemented
167#16837259C2211yescharacteristic, complemented
168#16837257C2211yescharacteristic, complemented
169#16837257C2211yescharacteristic, complemented
170#16837257C2211yescharacteristic, complemented
171#16837257C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C2×#126×C59C2211yescharacteristic, complemented
175C2×#123×C59C2211yescharacteristic
176C59×#400C2211yescharacteristic, complemented
177C59×#399C2211yescharacteristic, complemented
178C59×#398C2211yescharacteristic, complemented
179C59×#396C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic
181C59×#394C2211yescharacteristic
182C59×#389C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C59×#388C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic, complemented
188C59×#384C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C24×D59C2311yescharacteristic
192C22×Dic118C2311yescharacteristic
193C22×D236—24no—
194C22×D236—42no—
195C22×D236—42no—
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×D236C2311yescharacteristic
203C22×D236C2311yescharacteristic
204C22×D236C2311yescharacteristic
205C22×D236C2311yescharacteristic
206C22×D236C2311yescharacteristic
207C22×D236C2311yescharacteristic
208C22×D236C2311yescharacteristic
209C22×D236C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C22×D236C2311yescharacteristic
212C22×D236C2311yescharacteristic
213C22×D236C2311yescharacteristic
214C22×C22⋊D59C2311yescharacteristic
215C22×C22⋊D59C2311yescharacteristic
216C22×C22⋊D59C2311yescharacteristic
217C22×C22⋊D59C2311yescharacteristic
218C22×C22⋊D59C2311yescharacteristic
219C22×C22⋊D59C2311yescharacteristic
220C22×C22⋊D59C2311yescharacteristic
221C22×C22⋊D59C2311yescharacteristic
222C2×D4×D59—24no—
223C2×D4×D59—42no—
224C2×D4×D59—42no—
225C22×C4×D59C2311yescharacteristic
226C22×C4×D59C2311yescharacteristic
227C22×C4×D59C2311yescharacteristic
228C22×C4×D59C2311yescharacteristic
229C22×C4×D59C2311yescharacteristic
230C22×C4×D59C2311yescharacteristic
231C22×C4×D59C2311yescharacteristic
232C22×C4×D59C2311yescharacteristic
233C22×C4×D59C2311yescharacteristic
234#14273724—42no—
235#14273722—24no—
236#14273715—24no—
237#14273713—24no—
238#14273713—42no—
239#14273712—24no—
240#14273712—24no—
241#14273712—24no—
242#14273710—24no—
243#14273709—24no—
244#14273705—24no—
245#14273702—24no—
246#14273702—24no—
247#14273702—24no—
248#14273702—24no—
249#14273702—42no—
250#14273702—42no—
251#14273702—42no—
252#14273702—42no—
253#14273702—42no—
254#14273702—42no—
255#14273702—42no—
256#14273700—24no—
257#14273700—24no—
258#14273700—24no—
259#14273700—42no—
260#14273700—42no—
261#14273700—42no—
262#14273697—24no—
263#14273697—24no—
264#14273697—24no—
265#14273697—24no—
266#14273697—24no—
267#14273697—42no—
268#14273697—42no—
269#14273697—42no—
270#14273697—42no—
271#14273695—24no—
272C4×D236—24no—
273#14273689—24no—
274C2×C4⋊Dic59C2311yescharacteristic
275C2×C4⋊Dic59C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×Dic59⋊C4C2311yescharacteristic
280C2×Dic59⋊C4C2311yescharacteristic
281C2×Dic59⋊C4C2311yescharacteristic
282C2×Dic59⋊C4C2311yescharacteristic
283C2×Dic59⋊C4C2311yescharacteristic
284C4⋊C4×D59—42no—
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
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
321C2×(C2×D59)⋊C4C2311yescharacteristic
322C2×(C2×D59)⋊C4C2311yescharacteristic
323C2×(C2×D59)⋊C4C2311yescharacteristic
324C2×(C2×D59)⋊C4C2311yescharacteristic
325C2×(C2×D59)⋊C4C2311yescharacteristic
326C2×(C2×D59)⋊C4C2311yescharacteristic
327C2×(C2×D59)⋊C4C2311yescharacteristic
328C2×(C2×D59)⋊C4C2311yescharacteristic
329C2×(C2×D59)⋊C4C2311yescharacteristic
330C2×(C2×D59)⋊C4C2311yescharacteristic
331C2×(C2×D59)⋊C4C2311yescharacteristic
332C2×(C2×D59)⋊C4C2311yescharacteristic
333C2×(C2×D59)⋊C4C2311yescharacteristic
334C2×(C2×D59)⋊C4C2311yescharacteristic
335C2×(C2×D59)⋊C4C2311yescharacteristic
336C22⋊C4×D59—42no—
337C22⋊C4×D59—42no—
338C22⋊C4×D59D418yescomplemented
339C2×C4×Dic59C2311yescharacteristic
340C2×C4×Dic59C2311yescharacteristic
341C2×C4×Dic59C2311yescharacteristic
342C2×C4×Dic59C2311yescharacteristic
343C42×D59—42no—
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C59⋊#95C2311yescharacteristic
355C59⋊#95C2311yescharacteristic
356C59⋊#95C2311yescharacteristic
357C59⋊#95C2311yescharacteristic
358C59⋊#95C2311yescharacteristic
359C59⋊#95C2311yescharacteristic
360C22×D4×C59C2311yescharacteristic
361C23×C4×C59C2311yescharacteristic
362#126×C59—24no—
363#123×C59—24no—
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×C4⋊C4×C59C2311yescharacteristic
373C2×C4⋊C4×C59C2311yescharacteristic
374C2×C4⋊C4×C59C2311yescharacteristic
375C2×C4⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C22⋊C4×C59C2311yescharacteristic
385C2×C22⋊C4×C59C2311yescharacteristic
386C2×C22⋊C4×C59C2311yescharacteristic
387C2×C42×C59C2311yescharacteristic
388C2×C42×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391#95×C59C2311yescharacteristic
392#95×C59C2311yescharacteristic
393#95×C59C2311yescharacteristic
394#95×C59C2311yescharacteristic
395#95×C59C2311yescharacteristic
396#95×C59C2311yescharacteristic
397C24×C59C2411yescharacteristic
398C24×C59C2411yescharacteristic
399C23×D59—22no—
400C23×D59—22no—
401C23×D59—22no—
402C23×D59—22no—
403C23×D59—41no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59—41no—
407C23×D59—41no—
408C23×D59—41no—
409C23×D59—41no—
410C23×D59—41no—
411C23×D59—41no—
412C23×D59—41no—
413C23×D59—41no—
414C23×D59—41no—
415C23×D59—41no—
416C23×D59—41no—
417C23×D59—41no—
418C23×D59—41no—
419C23×D59C2×D414yes—
420C23×D59C2411yescharacteristic
421C23×D59C2411yescharacteristic
422C23×D59C2411yescharacteristic
423C23×D59C2411yescharacteristic
424C23×D59C2411yescharacteristic
425C23×D59C2411yescharacteristic
426C23×D59C2411yescharacteristic
427C2×D4×C59—22no—
428C2×D4×C59—41no—
429C2×D4×C59—41no—
430C22×C4×C59—22no—
431C22×C4×C59—41no—
432C22×C4×C59—41no—
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
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
446C2×C22⋊D59—22no—
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—41no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59—41no—
458C2×C22⋊D59—41no—
459C2×C22⋊D59—41no—
460C2×C22⋊D59—41no—
461C2×C22⋊D59—41no—
462C2×C22⋊D59—41no—
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—
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479D4×D59—416no—
480C2×D236—22no—
481C2×D236—22no—
482C2×D236—22no—
483C2×D236—22no—
484C2×D236—22no—
485C2×D236—22no—
486C2×D236—22no—
487C2×D236—22no—
488C2×D236—22no—
489C2×D236—22no—
490C2×D236—22no—
491C2×D236—22no—
492C2×D236—22no—
493C2×D236—22no—
494C2×D236—22no—
495C2×D236—22no—
496C2×D236—22no—
497C2×D236—22no—
498C2×D236—22no—
499C2×D236—22no—
500C2×D236—22no—
501C2×D236—22no—
502C2×D236—22no—
503C2×D236—22no—
504C2×D236—22no—
505C2×D236—22no—
506C2×D236—41no—
507C2×D236—41no—
508C2×D236—41no—
509C2×D236—41no—
510C2×D236—416no—
511C2×D236—41no—
512C2×D236—41no—
513C2×D236—41no—
514C2×D236—41no—
515C2×D236—41no—
516C2×D236—41no—
517C2×D236—41no—
518C2×D236—41no—
519C2×D236—41no—
520C2×D236—41no—
521C2×D236—41no—
522C2×D236—41no—
523C2×D236—41no—
524C2×D236—41no—
525C2×D236—41no—
526C2×D236—41no—
527C2×D236—41no—
528C2×D236—41no—
529C2×D236—41no—
530C2×D236—41no—
531C2×D236—41no—
532C2×D236—41no—
533C2×D236—41no—
534C2×D236—41no—
535C2×C4×D59—22no—
536C2×C4×D59—22no—
537C2×C4×D59—22no—
538C2×C4×D59—22no—
539C2×C4×D59—22no—
540C2×C4×D59—22no—
541C2×C4×D59—22no—
542C2×C4×D59—22no—
543C2×C4×D59—22no—
544C2×C4×D59—41no—
545C2×C4×D59—41no—
546C2×C4×D59—41no—
547C2×C4×D59—41no—
548C2×C4×D59—41no—
549C2×C4×D59—41no—
550C2×C4×D59—41no—
551C2×C4×D59—41no—
552C2×C4×D59—41no—
553C2×C4×D59—41no—
554C2×C4×D59—41no—
555C2×C4×D59—41no—
556C2×C4×D59—41no—
557C2×C4×D59—41no—
558C2×C4×D59—41no—
559C2×C4×D59—41no—
560C2×C4×D59C2×D414yes—
561C2×C4×D59C2×D414yes—
562C2×Dic118—22no—
563C2×Dic118—41no—
564C2×Dic118—41no—
565C4⋊C4×C59—22no—
566C4⋊C4×C59—22no—
567C4⋊C4×C59—22no—
568C4⋊C4×C59—22no—
569C4⋊C4×C59—22no—
570C4⋊C4×C59—22no—
571C4⋊C4×C59—41no—
572C4⋊C4×C59—41no—
573C4⋊C4×C59—41no—
574C4⋊C4×C59—41no—
575C4⋊C4×C59—41no—
576C4⋊C4×C59—41no—
577C22⋊C4×C59—22no—
578C22⋊C4×C59—22no—
579C22⋊C4×C59—22no—
580C22⋊C4×C59—22no—
581C22⋊C4×C59—22no—
582C22⋊C4×C59—22no—
583C22⋊C4×C59—22no—
584C22⋊C4×C59—22no—
585C22⋊C4×C59—41no—
586C22⋊C4×C59—41no—
587C22⋊C4×C59C2×D414yes—
588C42×C59—22no—
589C42×C59—22no—
590C22⋊Dic59—41no—
591C22⋊Dic59—41no—
592C22⋊Dic59—41no—
593C22⋊Dic59—41no—
594C22⋊Dic59C2×D414yes—
595(C2×D59)⋊C4—22no—
596(C2×D59)⋊C4—22no—
597(C2×D59)⋊C4—22no—
598(C2×D59)⋊C4—22no—
599(C2×D59)⋊C4—22no—
600(C2×D59)⋊C4—22no—
601(C2×D59)⋊C4—22no—
602(C2×D59)⋊C4—22no—
603(C2×D59)⋊C4—22no—
604(C2×D59)⋊C4—22no—
605(C2×D59)⋊C4—22no—
606(C2×D59)⋊C4—22no—
607(C2×D59)⋊C4—22no—
608(C2×D59)⋊C4—22no—
609(C2×D59)⋊C4—22no—
610(C2×D59)⋊C4—22no—
611(C2×D59)⋊C4—22no—
612(C2×D59)⋊C4—22no—
613(C2×D59)⋊C4—41no—
614(C2×D59)⋊C4—41no—
615(C2×D59)⋊C4—41no—
616(C2×D59)⋊C4—41no—
617(C2×D59)⋊C4—41no—
618(C2×D59)⋊C4—41no—
619(C2×D59)⋊C4—41no—
620(C2×D59)⋊C4—41no—
621(C2×D59)⋊C4—41no—
622(C2×D59)⋊C4—41no—
623(C2×D59)⋊C4—41no—
624(C2×D59)⋊C4—41no—
625(C2×D59)⋊C4—41no—
626(C2×D59)⋊C4—41no—
627(C2×D59)⋊C4—41no—
628(C2×D59)⋊C4—41no—
629(C2×D59)⋊C4—41no—
630(C2×D59)⋊C4—41no—
631(C2×D59)⋊C4—41no—
632(C2×D59)⋊C4—41no—
633(C2×D59)⋊C4—41no—
634(C2×D59)⋊C4—41no—
635(C2×D59)⋊C4—41no—
636(C2×D59)⋊C4—41no—
637(C2×D59)⋊C4—41no—
638(C2×D59)⋊C4—41no—
639(C2×D59)⋊C4C2×D414yes—
640(C2×D59)⋊C4C2×D414yes—
641C4⋊Dic59—22no—
642C4⋊Dic59—41no—
643Dic59⋊C4—22no—
644Dic59⋊C4—22no—
645Dic59⋊C4—22no—
646Dic59⋊C4—22no—
647Dic59⋊C4—22no—
648Dic59⋊C4—41no—
649Dic59⋊C4—41no—
650Dic59⋊C4—41no—
651C4×Dic59—22no—
652C4×Dic59—22no—
653C4×Dic59—41no—
654C4×Dic59—41no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—21no—
664C23×C59—21no—
665C23×C59—21no—
666C23×C59—21no—
667C23×C59—21no—
668C23×C59C22×D412yes—
669C23×C59C2511yescharacteristic
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—28no—
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—21no—
695C22×D59—21no—
696C22×D59—21no—
697C22×D59—21no—
698C22×D59—21no—
699C22×D59—21no—
700C22×D59—21no—
701C22×D59—21no—
702C22×D59—21no—
703C22×D59—21no—
704C22×D59—21no—
705C22×D59—21no—
706C22×D59—21no—
707C22×D59—21no—
708C22×D59—21no—
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—21no—
714C22×D59—21no—
715C22×D59—21no—
716C22×D59—44no—
717C22×D59—44no—
718C22×D59—44no—
719C22×D59—44no—
720C22×D59—82no—
721C22×D59—82no—
722C22×D59—82no—
723C22×D59—82no—
724C22×D59—82no—
725C22×D59—82no—
726C22×D59—82no—
727C22×D59—82no—
728C22×D59—82no—
729C22×D59—82no—
730C22×D59—82no—
731C22×D59—82no—
732C22×D59—82no—
733C22×D59—82no—
734C22×D59—82no—
735C22×D59—82no—
736C22×D59C22×D412yes—
737C22×D59C22×D412yes—
738C22×D59H(5,𝔽2)12yes—
739C22×D59H(5,𝔽2)12yes—
740D4×C59—44no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—21no—
745C2×C4×C59—21no—
746C2×C4×C59—21no—
747C2×C4×C59—21no—
748C2×C4×C59—21no—
749C2×C4×C59—21no—
750C2×C4×C59—21no—
751C2×C4×C59—21no—
752C2×C4×C59—21no—
753C2×C4×C59—21no—
754C2×C4×C59—21no—
755C2×C4×C59—21no—
756C2×C4×C59—21no—
757C2×C4×C59—21no—
758C2×C4×C59—21no—
759C2×C4×C59—21no—
760C2×C4×C59—21no—
761C2×C4×C59—21no—
762C2×C4×C59—21no—
763C2×C4×C59—21no—
764C2×C4×C59—21no—
765C2×C4×C59—21no—
766C2×C4×C59—21no—
767C2×C4×C59—21no—
768C2×C4×C59—21no—
769C2×C4×C59—21no—
770C2×C4×C59—21no—
771C2×C4×C59—21no—
772C2×C4×C59—21no—
773C2×C4×C59—21no—
774C2×C4×C59—21no—
775C2×C4×C59—21no—
776C2×C4×C59—44no—
777C2×C4×C59C22×D412yes—
778C2×C4×C59C22×D412yes—
779C2×C4×C59H(5,𝔽2)12yes—
780C2×C4×C59H(5,𝔽2)12yes—
781C22⋊D59—44no—
782C22⋊D59—44no—
783C22⋊D59—82no—
784C22⋊D59—82no—
785C22⋊D59—82no—
786C22⋊D59—82no—
787C22⋊D59—82no—
788C22⋊D59—82no—
789C2×Dic59—21no—
790C2×Dic59—21no—
791C2×Dic59—21no—
792C2×Dic59—21no—
793C2×Dic59—21no—
794C2×Dic59—21no—
795C2×Dic59—21no—
796C2×Dic59—21no—
797C2×Dic59—21no—
798C2×Dic59—21no—
799C2×Dic59—21no—
800C2×Dic59—21no—
801C2×Dic59—21no—
802C2×Dic59—21no—
803C2×Dic59—21no—
804C2×Dic59—21no—
805C2×Dic59—21no—
806C2×Dic59—21no—
807C2×Dic59—21no—
808C2×Dic59—21no—
809C2×Dic59—21no—
810C2×Dic59—21no—
811C2×Dic59—21no—
812C2×Dic59—21no—
813C2×Dic59—21no—
814C2×Dic59C22×D412yes—
815C2×Dic59C22×D412yes—
816D236—44no—
817D236—44no—
818D236—44no—
819D236—44no—
820D236—44no—
821D236—44no—
822D236—44no—
823D236—82no—
824D236—82no—
825D236—82no—
826D236—82no—
827D236—82no—
828D236—82no—
829D236—82no—
830D236—82no—
831D236—82no—
832D236—82no—
833D236—82no—
834C4×D59—44no—
835C4×D59—44no—
836C4×D59—44no—
837C4×D59—44no—
838C4×D59—44no—
839C4×D59—82no—
840C4×D59—82no—
841C4×D59—82no—
842C4×D59—82no—
843Dic118—82no—
844#36739—591nomaximal, Sylow
845C22×C59—22no—
846C22×C59—22no—
847C22×C59—22no—
848C22×C59—41no—
849C22×C59—41no—
850C22×C59—41no—
851C22×C59—41no—
852C22×C59—41no—
853C22×C59—41no—
854C22×C59—41no—
855C22×C59—41no—
856C22×C59—41no—
857C22×C59—41no—
858C22×C59—41no—
859C22×C59C23×D411yescharacteristic
860C22×C59C2×H(5,𝔽2)11yescharacteristic
861C22×C59C2×H(5,𝔽2)11yescharacteristic
862C22×C59C2×H(5,𝔽2)11yescharacteristic
863C22×C59C2×H(5,𝔽2)11yescharacteristic
864C22×C59#58511yescharacteristic
865C22×C59#58511yescharacteristic
866C2×D59—22no—
867C2×D59—22no—
868C2×D59—22no—
869C2×D59—22no—
870C2×D59—22no—
871C2×D59—22no—
872C2×D59—22no—
873C2×D59—22no—
874C2×D59—22no—
875C2×D59—41no—
876C2×D59—41no—
877C2×D59—41no—
878C2×D59—41no—
879C2×D59—41no—
880C2×D59—41no—
881C2×D59—41no—
882C2×D59—41no—
883C2×D59—41no—
884C2×D59—41no—
885C2×D59—41no—
886C2×D59—41no—
887C2×D59—41no—
888C2×D59—41no—
889C2×D59—41no—
890C2×D59—41no—
891C2×D59—41no—
892C2×D59—41no—
893C2×D59—41no—
894C2×D59—41no—
895C2×D59—41no—
896C2×D59—41no—
897C2×D59—41no—
898C2×D59—41no—
899C2×D59—41no—
900C2×D59—41no—
901C2×D59—41no—
902C2×D59—41no—
903C2×D59—41no—
904C2×D59—41no—
905C2×D59—41no—
906C2×D59—41no—
907C2×D59—41no—
908C2×D59—41no—
909C2×D59—41no—
910C2×D59—41no—
911C2×D59—41no—
912C2×D59—41no—
913C2×D59—41no—
914C2×D59—88no—
915C2×D59—88no—
916C2×D59—88no—
917C2×D59#53514yes—
918C4×C59—22no—
919C4×C59—22no—
920C4×C59—22no—
921C4×C59—22no—
922C4×C59—41no—
923C4×C59—41no—
924C4×C59—41no—
925C4×C59—41no—
926C4×C59—41no—
927C4×C59—41no—
928C4×C59—41no—
929C4×C59—41no—
930C4×C59—41no—
931Dic59—22no—
932Dic59—22no—
933Dic59—41no—
934Dic59—41no—
935Dic59—41no—
936Dic59—41no—
937Dic59—41no—
938Dic59—41no—
939Dic59—41no—
940C2×#538—591no—
941C2×#534—591no—
942#2856—591no—
943#2850—591no—
944#2718—591no—
945#2718D5911yescharacteristic, complemented
946#2710—591no—
947#2710—591no—
948#2706—591no—
949#2706—591no—
950#2703—591no—
951#2703—591no—
952#2685—591no—
953#2685—591no—
954#2678—591no—
955#2678—591no—
956#2670—591no—
957#2670—591no—
958#2669—591no—
959#2669—591no—
960#2656—591no—
961#2639—591no—
962#2543—591no—
963#2543—591no—
964#2416—591no—
965#2416—591no—
966#2410—591no—
967#2410—591no—
968#2410—591no—
969#2410—591no—
970C2×#388—591no—
971C2×C59—42no—
972C2×C59—81no—
973C2×C59C2×#53511yescharacteristic
974C2×C59#349611yescharacteristic
975C2×C59#349611yescharacteristic
976C2×C59#353411yescharacteristic
977C2×C59#353711yescharacteristic
978C2×C59#355811yescharacteristic
979C2×C59#356011yescharacteristic
980D59—24no—
981D59—42no—
982D59—81no—
983D59—81no—
984D59—81no—
985D59—81no—
986D59—81no—
987C23×D4—591no—
988C23×D4—591no—
989#538—1188no—
990#534—1188no—
991C2×#127—591no—
992C2×#126—591no—
993C2×#126C2×D5911yescharacteristic, complemented
994C2×#124—591no—
995C2×#124—591no—
996C2×#124—591no—
997C2×#123—591no—
998C2×#123—591no—
999C2×#123—591no—
1000C2×#123—591no—
1001C2×#123—591no—
1002C2×#123C2×D5911yescharacteristic
1003C2×C22⋊Q8—591no—
1004C2×#121—591no—
1005C2×#121—591no—
1006C2×#121—591no—
1007C2×#121—591no—
1008C2×#121—591no—
1009C2×#121—591no—
1010C2×#121—591no—
1011C2×#121—591no—
1012C2×#121—591no—
1013C2×#121—591no—
1014C2×#121—591no—
1015C2×#121—591no—
1016C2×#121—591no—
1017C2×#121—591no—
1018C2×#121—591no—
1019C2×#121—591no—
1020C2×#121—591no—
1021C2×#120—591no—
1022C2×#120—591no—
1023C2×#120—591no—
1024C2×#120—591no—
1025C2×#120—591no—
1026C2×#120—591no—
1027C2×#120—591no—
1028C2×#120—591no—
1029C2×#120—591no—
1030C2×#120—591no—
1031C2×C4×D4—591no—
1032C2×C4×D4—591no—
1033C22×C4⋊C4—591no—
1034C22×C22⋊C4—591no—
1035C22×C22⋊C4—591no—
1036C22×C22⋊C4—591no—
1037C22×C42—591no—
1038#400—591no—
1039#400C2×D5911yescharacteristic, complemented
1040#399—591no—
1041#399—591no—
1042#399—591no—
1043#399C2×D5911yescharacteristic, complemented
1044#398—591no—
1045#398C2×D5911yescharacteristic, complemented
1046#397—591no—
1047#397—591no—
1048#397—591no—
1049#397—591no—
1050#396—591no—
1051#396—591no—
1052#396—591no—
1053#396C2×D5911yescharacteristic, complemented
1054#394—591no—
1055#394—591no—
1056#394—591no—
1057#394—591no—
1058#394—591no—
1059#394—591no—
1060#394—591no—
1061#394—591no—
1062#394—591no—
1063#394—591no—
1064#394—591no—
1065#394—591no—
1066#394—591no—
1067#394—591no—
1068#394C2×D5911yescharacteristic
1069#394C2×D5911yescharacteristic
1070#393—591no—
1071#393—591no—
1072#392—591no—
1073#392—591no—
1074#392—591no—
1075#392—591no—
1076#392—591no—
1077#392—591no—
1078#392—591no—
1079#392—591no—
1080#392—591no—
1081#392—591no—
1082#392—591no—
1083#392—591no—
1084#392—591no—
1085#392—591no—
1086#391—591no—
1087#390—591no—
1088#390—591no—
1089#390—591no—
1090#390—591no—
1091#390—591no—
1092#390—591no—
1093#390—591no—
1094#390—591no—
1095#390—591no—
1096#389—591no—
1097#389C2×D5911yescharacteristic, complemented
1098#388—591no—
1099#388—591no—
1100#388—591no—
1101#388—591no—
1102#388—591no—
1103#388—591no—
1104#388—591no—
1105#388—591no—
1106#388—591no—
1107#388—591no—
1108#388—591no—
1109#388—591no—
1110#388—591no—
1111#388C2×D5911yescharacteristic, complemented
1112#388C2×D5911yescharacteristic, complemented
1113#388C2×D5911yescharacteristic, complemented
1114#386—591no—
1115#386—591no—
1116#386—591no—
1117#386—591no—
1118#386—591no—
1119#386—591no—
1120#386—591no—
1121#386—591no—
1122#386—591no—
1123#386—591no—
1124#386—591no—
1125#386—591no—
1126#386—591no—
1127#386—591no—
1128#386—591no—
1129#386—591no—
1130#385—591no—
1131#385—591no—
1132#385C2×D5911yescharacteristic, complemented
1133#385C2×D5911yescharacteristic, complemented
1134#384C2×D5911yescharacteristic, complemented
1135#382—591no—
1136#380—591no—
1137#380—591no—
1138#379—591no—
1139#379—591no—
1140#379—591no—
1141#379—591no—
1142C2×#95—591no—
1143C2×#95—591no—
1144C59#3673911yescharacteristic, complemented, Sylow
1145C25—591no—
1146C25—591no—
1147C25—591no—
1148C22×Q8—591no—
1149C22×D4—591no—
1150C22×D4—591no—
1151C22×D4—591no—
1152C22×D4—591no—
1153C22×D4—591no—
1154C22×D4—591no—
1155C22×D4—591no—
1156C22×D4—591no—
1157C22×D4—591no—
1158C22×D4—591no—
1159C22×D4—591no—
1160C22×D4—591no—
1161C22×D4—591no—
1162C22×D4—591no—
1163C22×D4—591no—
1164C22×D4—591no—
1165C22×D4—591no—
1166C22×D4—591no—
1167C22×D4—591no—
1168C22×D4—591no—
1169C22×D4—591no—
1170C22×D4—591no—
1171C22×D4—591no—
1172C22×D4—591no—
1173C22×D4—591no—
1174C22×D4—591no—
1175C22×D4—1184no—
1176C22×D4—1184no—
1177C22×D4—2362no—
1178C22×D4—2362no—
1179C22×D4—2362no—
1180C22×D4—2362no—
1181C22×D4C22×D5911yescharacteristic
1182C23×C4—591no—
1183C23×C4—591no—
1184C23×C4—591no—
1185C23×C4—591no—
1186C23×C4—591no—
1187C23×C4—591no—
1188C23×C4—591no—
1189C23×C4—591no—
1190C23×C4—591no—
1191C23×C4C22×D5911yescharacteristic
1192#127—2362no—
1193#126—24no—
1194#126—1184no—
1195#124—1184no—
1196#124—1184no—
1197#124—2362no—
1198#123—24no—
1199#123—1184no—
1200#123—1184no—
1201#123—1184no—
1202#123—1184no—
1203#123—1184no—
1204C22⋊Q8—1184no—
1205#121—1184no—
1206#121—1184no—
1207#121—1184no—
1208#121—1184no—
1209#121—1184no—
1210#121—1184no—
1211#121—1184no—
1212#121—2362no—
1213#121—2362no—
1214#121—2362no—
1215#121—2362no—
1216#121—2362no—
1217#121—2362no—
1218#121—2362no—
1219#121—2362no—
1220#121—2362no—
1221#121—2362no—
1222#120—1184no—
1223#120—1184no—
1224#120—1184no—
1225#120—1184no—
1226#120—1184no—
1227#120—1184no—
1228#120—2362no—
1229#120—2362no—
1230#120—2362no—
1231#120—2362no—
1232C4×D4—1184no—
1233C4×D4—1184no—
1234C2×C4⋊C4—591no—
1235C2×C4⋊C4—591no—
1236C2×C4⋊C4—591no—
1237C2×C4⋊C4—591no—
1238C2×C4⋊C4—591no—
1239C2×C4⋊C4—591no—
1240C2×C4⋊C4—591no—
1241C2×C4⋊C4—591no—
1242C2×C4⋊C4—591no—
1243C2×C4⋊C4—591no—
1244C2×C4⋊C4—2362no—
1245C2×C4⋊C4C22×D5911yescharacteristic
1246C2×C4⋊C4C22×D5911yescharacteristic
1247C2×C4⋊C4C22×D5911yescharacteristic
1248C2×C4⋊C4C22×D5911yescharacteristic
1249C2×C4⋊C4C22×D5911yescharacteristic
1250C2×C4⋊C4C22×D5911yescharacteristic
1251C2×C4⋊C4C22×D5911yescharacteristic
1252C2×C4⋊C4C22×D5911yescharacteristic
1253C2×C4⋊C4C22×D5911yescharacteristic
1254C2×C4⋊C4C22×D5911yescharacteristic
1255C2×C4⋊C4C22×D5911yescharacteristic
1256C2×C4⋊C4C22×D5911yescharacteristic
1257C2×C22⋊C4—591no—
1258C2×C22⋊C4—591no—
1259C2×C22⋊C4—591no—
1260C2×C22⋊C4—598no—
1261C2×C22⋊C4—591no—
1262C2×C22⋊C4—591no—
1263C2×C22⋊C4—591no—
1264C2×C22⋊C4—591no—
1265C2×C22⋊C4—591no—
1266C2×C22⋊C4—591no—
1267C2×C22⋊C4—591no—
1268C2×C22⋊C4—591no—
1269C2×C22⋊C4—591no—
1270C2×C22⋊C4—591no—
1271C2×C22⋊C4—591no—
1272C2×C22⋊C4—591no—
1273C2×C22⋊C4—591no—
1274C2×C22⋊C4—591no—
1275C2×C22⋊C4—591no—
1276C2×C22⋊C4—591no—
1277C2×C22⋊C4—591no—
1278C2×C22⋊C4—591no—
1279C2×C22⋊C4—591no—
1280C2×C22⋊C4—591no—
1281C2×C22⋊C4—591no—
1282C2×C22⋊C4—591no—
1283C2×C22⋊C4—591no—
1284C2×C22⋊C4—591no—
1285C2×C22⋊C4—591no—
1286C2×C22⋊C4—591no—
1287C2×C22⋊C4—591no—
1288C2×C22⋊C4—591no—
1289C2×C22⋊C4—591no—
1290C2×C22⋊C4—591no—
1291C2×C22⋊C4—591no—
1292C2×C22⋊C4—591no—
1293C2×C22⋊C4—591no—
1294C2×C22⋊C4—591no—
1295C2×C22⋊C4—591no—
1296C2×C22⋊C4—591no—
1297C2×C22⋊C4—591no—
1298C2×C22⋊C4—591no—
1299C2×C22⋊C4—591no—
1300C2×C22⋊C4—591no—
1301C2×C22⋊C4—591no—
1302C2×C22⋊C4—591no—
1303C2×C22⋊C4—591no—
1304C2×C22⋊C4—591no—
1305C2×C22⋊C4—591no—
1306C2×C22⋊C4—591no—
1307C2×C22⋊C4—591no—
1308C2×C22⋊C4—591no—
1309C2×C22⋊C4—2362no—
1310C2×C22⋊C4—2362no—
1311C2×C22⋊C4C22×D5911yescharacteristic
1312C2×C22⋊C4C22×D5911yescharacteristic
1313C2×C22⋊C4C22×D5911yescharacteristic
1314C2×C22⋊C4C22×D5911yescharacteristic
1315C2×C22⋊C4C22×D5911yescharacteristic
1316C2×C22⋊C4C22×D5911yescharacteristic
1317C2×C22⋊C4C22×D5911yescharacteristic
1318C2×C22⋊C4C22×D5911yescharacteristic
1319C2×C22⋊C4C22×D5911yescharacteristic
1320C2×C22⋊C4C22×D5911yescharacteristic
1321C2×C22⋊C4C22×D5911yescharacteristic
1322C2×C42—591no—
1323C2×C42—591no—
1324C2×C42—591no—
1325C2×C42—591no—
1326C2×C42—2362no—
1327C2×C42C22×D5911yescharacteristic
1328C2×C42C22×D5911yescharacteristic
1329#95—591no—
1330#95—591no—
1331#95—591no—
1332#95—591no—
1333#95—591no—
1334#95—591no—
1335#95—591no—
1336#95—591no—
1337#95—591no—
1338#95—591no—
1339#95—591no—
1340#95—591no—
1341#95—591no—
1342#95—591no—
1343#95—591no—
1344#95—591no—
1345#95C22×D5911yescharacteristic
1346#95C22×D5911yescharacteristic
1347#95C22×D5911yescharacteristic
1348#95C22×D5911yescharacteristic
1349#95C22×D5911yescharacteristic
1350#95C22×D5911yescharacteristic
1351#95C22×D5911yescharacteristic
1352#95C22×D5911yescharacteristic
1353C24—591no—
1354C24—591no—
1355C24—594no—
1356C24—591no—
1357C24—591no—
1358C24—591no—
1359C24—591no—
1360C24—591no—
1361C24—1182no—
1362C24—1182no—
1363C24—1182no—
1364C24—1182no—
1365C24—2361no—
1366C24—2361no—
1367C24—2361no—
1368C24—2361no—
1369C24—2361no—
1370C24—2361no—
1371C24—2361no—
1372C24—2361no—
1373C24—2361no—
1374C24—2361no—
1375C24—2361no—
1376C24—2361no—
1377C24—2361no—
1378C24—2361no—
1379C24—2361no—
1380C24—2361no—
1381C24C23×D5911yescharacteristic
1382C24C23×D5911yescharacteristic
1383C2×Q8—1182no—
1384C2×Q8—2361no—
1385C2×Q8—2361no—
1386C2×D4—22no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—1182no—
1390C2×D4—1182no—
1391C2×D4—1182no—
1392C2×D4—1182no—
1393C2×D4—1182no—
1394C2×D4—1182no—
1395C2×D4—1182no—
1396C2×D4—1182no—
1397C2×D4—1182no—
1398C2×D4—1182no—
1399C2×D4—1182no—
1400C2×D4—1182no—
1401C2×D4—1182no—
1402C2×D4—1182no—
1403C2×D4—1182no—
1404C2×D4—1182no—
1405C2×D4—1182no—
1406C2×D4—1182no—
1407C2×D4—1182no—
1408C2×D4—1182no—
1409C2×D4—1182no—
1410C2×D4—1182no—
1411C2×D4—1182no—
1412C2×D4—1182no—
1413C2×D4—1182no—
1414C2×D4—1182no—
1415C2×D4—1182no—
1416C2×D4—1182no—
1417C2×D4—1182no—
1418C2×D4—1182no—
1419C2×D4—1182no—
1420C2×D4—1182no—
1421C2×D4—1182no—
1422C2×D4—1182no—
1423C2×D4—2361no—
1424C2×D4—2361no—
1425C2×D4—2361no—
1426C2×D4—2361no—
1427C2×D4—2361no—
1428C2×D4—2361no—
1429C2×D4—2361no—
1430C2×D4—2361no—
1431C2×D4—2361no—
1432C2×D4—2361no—
1433C2×D4—2361no—
1434C2×D4—2361no—
1435C2×D4—2361no—
1436C2×D4—2361no—
1437C2×D4—2361no—
1438C2×D4—2361no—
1439C2×D4—2361no—
1440C2×D4—2361no—
1441C2×D4—2361no—
1442C2×D4—2361no—
1443C2×D4—2361no—
1444C2×D4—2361no—
1445C2×D4—2361no—
1446C2×D4—2361no—
1447C2×D4—2361no—
1448C2×D4—2361no—
1449C2×D4—2361no—
1450C2×D4—2361no—
1451C2×D4—23616no—
1452C2×D4—2361no—
1453C2×D4—2361no—
1454C2×D4—2361no—
1455C2×D4—2361no—
1456C2×D4—2361no—
1457C2×D4—2361no—
1458C2×D4—2361no—
1459C2×D4—2361no—
1460C2×D4—2361no—
1461C2×D4—2361no—
1462C2×D4—2361no—
1463C2×D4—2361no—
1464C2×D4—2361no—
1465C2×D4—2361no—
1466C2×D4—2361no—
1467C2×D4—2361no—
1468C2×D4—23616no—
1469C22×C4—22no—
1470C22×C4—41no—
1471C22×C4—41no—
1472C22×C4—591no—
1473C22×C4—591no—
1474C22×C4—594no—
1475C22×C4—594no—
1476C22×C4—591no—
1477C22×C4—591no—
1478C22×C4—591no—
1479C22×C4—591no—
1480C22×C4—591no—
1481C22×C4—591no—
1482C22×C4—591no—
1483C22×C4—1182no—
1484C22×C4—1182no—
1485C22×C4—1182no—
1486C22×C4—1182no—
1487C22×C4—1182no—
1488C22×C4—1182no—
1489C22×C4—1182no—
1490C22×C4—1182no—
1491C22×C4—1182no—
1492C22×C4—2361no—
1493C22×C4—2361no—
1494C22×C4—2361no—
1495C22×C4—2361no—
1496C22×C4—2361no—
1497C22×C4—2361no—
1498C22×C4—2361no—
1499C22×C4—2361no—
1500C22×C4—2361no—
1501C22×C4—2361no—
1502C22×C4—2361no—
1503C22×C4—2361no—
1504C22×C4—2361no—
1505C22×C4—2361no—
1506C22×C4—2361no—
1507C22×C4—2361no—
1508C22×C4C23×D5911yescharacteristic
1509C22×C4C23×D5911yescharacteristic
1510C22×C4C23×D5911yescharacteristic
1511C22×C4C23×D5911yescharacteristic
1512C22×C4C23×D5911yescharacteristic
1513C22×C4C23×D5911yescharacteristic
1514C22×C4C23×D5911yescharacteristic
1515C22×C4C23×D5911yescharacteristic
1516C22×C4C23×D5911yescharacteristic
1517C22×C4C23×D5911yescharacteristic
1518C22×C4C23×D5911yescharacteristic
1519C22×C4C23×D5911yescharacteristic
1520C22×C4C23×D5911yescharacteristic
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—22no—
1526C4⋊C4—22no—
1527C4⋊C4—41no—
1528C4⋊C4—41no—
1529C4⋊C4—41no—
1530C4⋊C4—41no—
1531C4⋊C4—41no—
1532C4⋊C4—41no—
1533C4⋊C4—1182no—
1534C4⋊C4—1182no—
1535C4⋊C4—1182no—
1536C4⋊C4—1182no—
1537C4⋊C4—1182no—
1538C4⋊C4—1182no—
1539C4⋊C4—2361no—
1540C4⋊C4—2361no—
1541C4⋊C4—2361no—
1542C4⋊C4—2361no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—22no—
1550C22⋊C4—22no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—594no—
1554C22⋊C4—594no—
1555C22⋊C4—594no—
1556C22⋊C4—1182no—
1557C22⋊C4—1182no—
1558C22⋊C4—1182no—
1559C22⋊C4—1182no—
1560C22⋊C4—1182no—
1561C22⋊C4—1182no—
1562C22⋊C4—1182no—
1563C22⋊C4—1182no—
1564C22⋊C4—1182no—
1565C22⋊C4—1182no—
1566C22⋊C4—1182no—
1567C22⋊C4—1182no—
1568C22⋊C4—1182no—
1569C22⋊C4—1182no—
1570C22⋊C4—1182no—
1571C22⋊C4—1182no—
1572C22⋊C4—1182no—
1573C22⋊C4—1182no—
1574C22⋊C4—2361no—
1575C22⋊C4—2361no—
1576C22⋊C4—2361no—
1577C22⋊C4—2361no—
1578C22⋊C4—2361no—
1579C22⋊C4—2361no—
1580C22⋊C4—2361no—
1581C22⋊C4—2361no—
1582C22⋊C4—2361no—
1583C22⋊C4—2361no—
1584C22⋊C4—2361no—
1585C22⋊C4—2361no—
1586C22⋊C4—2361no—
1587C22⋊C4—2361no—
1588C22⋊C4—2361no—
1589C22⋊C4—2361no—
1590C22⋊C4—2361no—
1591C22⋊C4—2361no—
1592C22⋊C4—2361no—
1593C22⋊C4—2361no—
1594C22⋊C4—2361no—
1595C22⋊C4—2361no—
1596C22⋊C4—2361no—
1597C22⋊C4—2361no—
1598C22⋊C4—2361no—
1599C22⋊C4—2361no—
1600C22⋊C4—2361no—
1601C22⋊C4—2361no—
1602C22⋊C4—2361no—
1603C22⋊C4—2361no—
1604C22⋊C4D4×D5914yes—
1605C42—22no—
1606C42—22no—
1607C42—1182no—
1608C42—1182no—
1609C42—2361no—
1610C42—2361no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—592no—
1625C23—592no—
1626C23—592no—
1627C23—592no—
1628C23—1188no—
1629C23—1181no—
1630C23—1181no—
1631C23—1181no—
1632C23—1181no—
1633C23—1181no—
1634C23—1181no—
1635C23—1181no—
1636C23—1181no—
1637C23—1181no—
1638C23—1181no—
1639C23—1181no—
1640C23—1181no—
1641C23—1181no—
1642C23—1181no—
1643C23—1181no—
1644C23—1181no—
1645C23—1181no—
1646C23—1181no—
1647C23—1181no—
1648C23—1181no—
1649C23—1181no—
1650C23—1181no—
1651C23—1181no—
1652C23—1181no—
1653C23—1181no—
1654C23—1181no—
1655C23—1181no—
1656C23—1181no—
1657C23—1181no—
1658C23—1181no—
1659C23—1181no—
1660C23—1181no—
1661C23—1181no—
1662C23—1181no—
1663C23—1181no—
1664C23—1181no—
1665C23—1181no—
1666C23—1181no—
1667C23—1181no—
1668C23—1181no—
1669C23—1181no—
1670C23—1181no—
1671C23—1181no—
1672C23—1181no—
1673C23—1181no—
1674C23—4722no—
1675C23—4722no—
1676C23—4722no—
1677C23—4722no—
1678C23—4722no—
1679C23—4722no—
1680C23—4722no—
1681C23—4722no—
1682C23—4722no—
1683C23—4722no—
1684C23—4722no—
1685C23—4722no—
1686C23—4722no—
1687C23—4722no—
1688C23—4722no—
1689C23—4722no—
1690C23—2364no—
1691C23—2364no—
1692C23—2364no—
1693C23—2364no—
1694C23C2×D4×D5912yes—
1695C23C24×D5911yescharacteristic
1696Q8—4722no—
1697D4—44no—
1698D4—4722no—
1699D4—4722no—
1700D4—4722no—
1701D4—4722no—
1702D4—4722no—
1703D4—4722no—
1704D4—4722no—
1705D4—4722no—
1706D4—4722no—
1707D4—4722no—
1708D4—4722no—
1709D4—4722no—
1710D4—4722no—
1711D4—4722no—
1712D4—4722no—
1713D4—4722no—
1714D4—4722no—
1715D4—2364no—
1716D4—2364no—
1717D4—2364no—
1718D4—2364no—
1719D4—2364no—
1720D4—2364no—
1721D4—2364no—
1722D4—2364no—
1723D4—2364no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—44no—
1760C2×C4—592no—
1761C2×C4—592no—
1762C2×C4—1181no—
1763C2×C4—1181no—
1764C2×C4—1181no—
1765C2×C4—1181no—
1766C2×C4—1181no—
1767C2×C4—1181no—
1768C2×C4—1181no—
1769C2×C4—1181no—
1770C2×C4—1181no—
1771C2×C4—1181no—
1772C2×C4—1181no—
1773C2×C4—1181no—
1774C2×C4—1181no—
1775C2×C4—1181no—
1776C2×C4—1181no—
1777C2×C4—1181no—
1778C2×C4—1181no—
1779C2×C4—1181no—
1780C2×C4—1181no—
1781C2×C4—1181no—
1782C2×C4—1181no—
1783C2×C4—1181no—
1784C2×C4—1181no—
1785C2×C4—1181no—
1786C2×C4—1181no—
1787C2×C4—4722no—
1788C2×C4—4722no—
1789C2×C4—4722no—
1790C2×C4—4722no—
1791C2×C4—2364no—
1792C2×C4—2364no—
1793C2×C4—2364no—
1794C2×C4—2364no—
1795C2×C4—2364no—
1796C2×C4C2×D4×D5912yes—
1797C2×C4C2×D4×D5912yes—
1798C2×C4#1427377312yes—
1799C2×C4#1427377312yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—594no—
1815C22—1182no—
1816C22—1182no—
1817C22—1182no—
1818C22—1182no—
1819C22—1182no—
1820C22—1182no—
1821C22—1182no—
1822C22—1182no—
1823C22—1182no—
1824C22—4728no—
1825C22—4728no—
1826C22—4728no—
1827C22—2361no—
1828C22—2361no—
1829C22—2361no—
1830C22—2361no—
1831C22—2361no—
1832C22—2361no—
1833C22—2361no—
1834C22—2361no—
1835C22—2361no—
1836C22—2361no—
1837C22—2361no—
1838C22—2361no—
1839C22—2361no—
1840C22—2361no—
1841C22—2361no—
1842C22—2361no—
1843C22—2361no—
1844C22—2361no—
1845C22—2361no—
1846C22—2361no—
1847C22—2361no—
1848C22—2361no—
1849C22—2361no—
1850C22—2361no—
1851C22—2361no—
1852C22—2361no—
1853C22—2361no—
1854C22—2361no—
1855C22—2361no—
1856C22—2361no—
1857C22—2361no—
1858C22—2361no—
1859C22—2361no—
1860C22—2361no—
1861C22—2361no—
1862C22—2361no—
1863C22—2361no—
1864C22—2361no—
1865C22—2361no—
1866C22C22×D4×D5911yescharacteristic
1867C22H(5,𝔽2)×D5911yescharacteristic
1868C22H(5,𝔽2)×D5911yescharacteristic
1869C22C2×#1427377311yescharacteristic
1870C22C2×#1427377311yescharacteristic
1871C22#1683823911yescharacteristic
1872C22#1683823911yescharacteristic
1873C4—22no—
1874C4—22no—
1875C4—22no—
1876C4—22no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—41no—
1886C4—1182no—
1887C4—1182no—
1888C4—2361no—
1889C4—2361no—
1890C4—2361no—
1891C4—2361no—
1892C4—2361no—
1893C4—2361no—
1894C4—2361no—
1895C2—42no—
1896C2—81no—
1897C2—1184no—
1898C2—4721no—
1899C2—4721no—
1900C2—4721no—
1901C2—4721no—
1902C2—4721no—
1903C2—2362no—
1904C2#535×D5911yescharacteristic
1905C2#2143785411yescharacteristic
1906C2#2143785411yescharacteristic
1907C2#2143828411yescharacteristic
1908C2#2143833211yescharacteristic
1909C2#2143861111yescharacteristic
1910C2#2143863911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2718C2
hypercenter#2718D59
hypocenterC59#36739
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2718

Complements

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

NH ≅ G/Ntype
1. C2×#16837991C2semidirect
2. C2×#16837963C2semidirect
3. #21432442C2semidirect
4. #21432394C2semidirect
5. #21430941C2semidirect
6. #21430842C2semidirect
7. #21430839C2semidirect
8. #21430786C2semidirect
9. #21430785C2semidirect
10. #21430738C2semidirect
11. #21430733C2semidirect
12. #21430481C2semidirect
13. #21430480C2semidirect
14. #21430427C2semidirect
15. #21430426C2semidirect
16. #21430324C2semidirect
17. #21430320C2semidirect
18. #21430311C2semidirect
19. #21430311C2semidirect
20. #21430199C2semidirect
21. #21430028C2semidirect
22. #21429061C2semidirect
23. #21429057C2semidirect
24. #21427534C2semidirect
25. #21427531C2semidirect
26. #21427468C2semidirect
27. #21427468C2semidirect
28. #21427465C2semidirect
29. #21427465C2semidirect
30. #388×D59C2semidirect
31. C59×#2718C2semidirect
36. C2×#14273724C22semidirect
37. C2×#14273722C22semidirect
38. C2×#14273715C22semidirect
39. C2×#14273713C22semidirect
40. C2×#14273713C22semidirect
43. C2×#14273712C22semidirect
45. C2×#14273709C22semidirect
46. C2×#14273705C22semidirect
49. C2×#14273702C22semidirect
50. C2×#14273702C22semidirect
51. C2×#14273702C22semidirect
52. C2×#14273702C22semidirect
53. C2×#14273702C22semidirect
54. C2×#14273702C22semidirect
55. C2×#14273702C22semidirect
56. C2×#14273702C22semidirect
57. C2×#14273702C22semidirect
60. C2×#14273700C22semidirect
61. C2×#14273700C22semidirect
62. C2×#14273700C22semidirect
63. C2×#14273700C22semidirect
69. C2×#14273697C22semidirect
70. C2×#14273697C22semidirect
71. C2×#14273697C22semidirect
72. C2×#14273697C22semidirect
74. C2×C4×D236C22semidirect
75. C2×#14273689C22semidirect
76. C2×C4⋊C4×D59C22semidirect
80. C2×C42×D59C22semidirect
81. #16837340C22semidirect
82. #16837337C22semidirect
83. #16837337C22semidirect
84. #16837337C22semidirect
85. #16837335C22semidirect
86. #16837331C22semidirect
87. #16837331C22semidirect
88. #16837331C22semidirect
89. #16837328C22semidirect
90. #16837324C22semidirect
91. #16837324C22semidirect
92. #16837324C22semidirect
93. #16837320C22semidirect
94. #16837320C22semidirect
95. #16837320C22semidirect
100. #16837319C22semidirect
101. #16837319C22semidirect
102. #16837319C22semidirect
103. #16837318C22semidirect
104. #16837318C22semidirect
107. #16837315C22semidirect
108. #16837315C22semidirect
113. #16837312C22semidirect
114. #16837312C22semidirect
117. #16837311C22semidirect
118. #16837311C22semidirect
119. #16837311C22semidirect
120. #16837311C22semidirect
123. #16837306C22semidirect
124. #16837304C22semidirect
125. #16837303C22semidirect
126. #16837303C22semidirect
127. #16837303C22semidirect
128. #16837303C22semidirect
129. #16837303C22semidirect
130. #16837303C22semidirect
131. #16837302C22semidirect
132. #16837302C22semidirect
133. #16837297C22semidirect
134. #16837296C22semidirect
135. #16837296C22semidirect
136. #16837295C22semidirect
137. #16837294C22semidirect
138. #16837293C22semidirect
139. #16837293C22semidirect
140. #16837293C22semidirect
141. #16837292C22semidirect
142. #16837292C22semidirect
143. #16837292C22semidirect
144. #16837292C22semidirect
145. #16837291C22semidirect
146. #16837290C22semidirect
147. #16837281C22semidirect
148. #16837281C22semidirect
149. #16837280C22semidirect
150. #16837280C22semidirect
151. #16837280C22semidirect
152. #16837280C22semidirect
153. #16837280C22semidirect
154. #16837280C22semidirect
155. #16837280C22semidirect
156. #16837280C22semidirect
157. #16837280C22semidirect
158. #16837280C22semidirect
159. #16837280C22semidirect
160. #16837278C22semidirect
161. #16837278C22semidirect
162. #16837278C22semidirect
163. #16837273C22semidirect
164. #16837273C22semidirect
165. #16837266C22semidirect
166. #16837261C22semidirect
167. #16837259C22semidirect
168. #16837257C22semidirect
169. #16837257C22semidirect
170. #16837257C22semidirect
171. #16837257C22semidirect
172. #95×D59C22semidirect
173. #95×D59C22semidirect
174. C2×#126×C59C22semidirect
176. C59×#400C22semidirect
177. C59×#399C22semidirect
178. C59×#398C22semidirect
179. C59×#396C22semidirect
182. C59×#389C22semidirect
183. C59×#388C22semidirect
184. C59×#388C22semidirect
185. C59×#388C22semidirect
186. C59×#385C22semidirect
187. C59×#385C22semidirect
188. C59×#384C22semidirect
338. C22⋊C4×D59D4semidirect
945. #2718D59semidirect
993. C2×#126C2×D59semidirect
1039. #400C2×D59semidirect
1043. #399C2×D59semidirect
1045. #398C2×D59semidirect
1053. #396C2×D59semidirect
1097. #389C2×D59semidirect
1111. #388C2×D59semidirect
1112. #388C2×D59semidirect
1113. #388C2×D59semidirect
1132. #385C2×D59semidirect
1133. #385C2×D59semidirect
1134. #384C2×D59semidirect
1144. C59#36739semidirect

Maximal subgroups

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

subgroupindex
C2×#168379912
C2×#168379632
#214324422
#214323942
#214309412
#214308422
#214308392
#214307862
#214307852
#214307382
#214307332
#214304812
#214304802
#214304272
#214304262
#214303242
#214303202
#214303112
#214301992
#214300282
#214290612
#214290572
#214275342
#214275312
#214274682
#214274652
#388×D592
C59×#27182
#3673959