Finite Group Databasebeta

← #28761391

Subgroups — #28761391

Order 15104.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837998C211yesmaximal, characteristic, complemented
2C2×C4×D4×D59C211yesmaximal, characteristic, complemented
3#21432414C211yesmaximal, characteristic, complemented
4#21432403C211yesmaximal, characteristic, complemented
5#21432389C211yesmaximal, characteristic, complemented
6#21432380C211yesmaximal, characteristic, complemented
7#21429999C211yesmaximal, characteristic, complemented
8#21429968C211yesmaximal, characteristic, complemented
9#21429933C211yesmaximal, characteristic, complemented
10#21428335C211yesmaximal, characteristic, complemented
11#21428238C211yesmaximal, characteristic, complemented
12#21428125C211yesmaximal, characteristic, complemented
13#21428093C211yesmaximal, characteristic, complemented
14#21428049C211yesmaximal, characteristic, complemented
15#21427974C211yesmaximal, characteristic, complemented
16#21427898C211yesmaximal, characteristic, complemented
17#21427898C211yesmaximal, characteristic, complemented
18#21427826C211yesmaximal, characteristic, complemented
19#21427756C211yesmaximal, characteristic, complemented
20#21427640C211yesmaximal, characteristic, complemented
21#21427568C211yesmaximal, characteristic, complemented
22#21427559C211yesmaximal, characteristic, complemented
23#21427485C211yesmaximal, characteristic, complemented
24#21427465C211yesmaximal, characteristic
25#21427418C211yesmaximal, characteristic, complemented
26#21426795C211yesmaximal, characteristic, complemented
27#21426769C211yesmaximal, characteristic, complemented
28#21426725C211yesmaximal, characteristic, complemented
29#21426597C211yesmaximal, characteristic, complemented
30#385×D59C211yesmaximal, characteristic, complemented
31C59×#2638C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16837998—28no—
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273717C2211yescharacteristic, complemented
39C2×#14273717C2211yescharacteristic, complemented
40C2×#14273712C2211yescharacteristic
41C2×#14273712C2211yescharacteristic, complemented
42C2×#14273711C2211yescharacteristic, complemented
43C2×#14273710C2211yescharacteristic, complemented
44C2×#14273709C2211yescharacteristic
45C2×#14273709C2211yescharacteristic, complemented
46C2×#14273703C2211yescharacteristic
47C2×#14273703C2211yescharacteristic, complemented
48C2×#14273703C2211yescharacteristic, complemented
49C2×#14273703C2211yescharacteristic, complemented
50C2×#14273702C2211yescharacteristic
51C2×#14273700C2211yescharacteristic
52C2×#14273697C2211yescharacteristic
53C2×#14273697C2211yescharacteristic
54C2×C4×D236C2211yescharacteristic
55C2×D4×Dic59C2211yescharacteristic
56C2×#14273689C2211yescharacteristic
57C2×#14273689C2211yescharacteristic
58C2×#14273689C2211yescharacteristic, complemented
59C2×C4×C22⋊D59C2211yescharacteristic
60C2×C4×C22⋊D59C2211yescharacteristic
61C2×(C22⋊D59)⋊C4C2211yescharacteristic
62C2×(C22⋊D59)⋊C4C2211yescharacteristic
63C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
64C4×D4×D59—28no—
65C2×C4⋊C4×D59C2211yescharacteristic
66C2×C4⋊C4×D59C2211yescharacteristic, complemented
67C2×C4⋊C4×D59C2211yescharacteristic, complemented
68C2×C22⋊C4×D59C2211yescharacteristic
69C2×C22⋊C4×D59C2211yescharacteristic
70C2×C22⋊C4×D59C2211yescharacteristic
71C2×C22⋊C4×D59C2211yescharacteristic
72C2×C42×D59C2211yescharacteristic
73#16837343C2211yescharacteristic, complemented
74#16837338C2211yescharacteristic, complemented
75#16837337C2211yescharacteristic, complemented
76#16837337C2211yescharacteristic, complemented
77#16837336C2211yescharacteristic, complemented
78#16837335C2211yescharacteristic, complemented
79#16837335C2211yescharacteristic, complemented
80#16837331C2211yescharacteristic, complemented
81#16837330C2211yescharacteristic, complemented
82#16837330C2211yescharacteristic, complemented
83#16837325C2211yescharacteristic, complemented
84#16837325C2211yescharacteristic, complemented
85#16837324C2211yescharacteristic, complemented
86#16837324C2211yescharacteristic, complemented
87#16837320C2211yescharacteristic, complemented
88#16837318C2211yescharacteristic
89#16837318C2211yescharacteristic, complemented
90#16837317C2211yescharacteristic
91#16837317C2211yescharacteristic
92#16837317C2211yescharacteristic, complemented
93#16837317C2211yescharacteristic, complemented
94#16837316C2211yescharacteristic
95#16837311C2211yescharacteristic
96#16837310C2211yescharacteristic
97#16837301C2211yescharacteristic, complemented
98#16837299C2211yescharacteristic, complemented
99#16837299C2211yescharacteristic, complemented
100#16837297C2211yescharacteristic, complemented
101#16837294C2211yescharacteristic, complemented
102#16837293C2211yescharacteristic, complemented
103#16837292C2211yescharacteristic, complemented
104#16837291C2211yescharacteristic, complemented
105#16837291C2211yescharacteristic, complemented
106#16837291C2211yescharacteristic, complemented
107#16837290C2211yescharacteristic, complemented
108#16837290C2211yescharacteristic, complemented
109#16837289C2211yescharacteristic, complemented
110#16837289C2211yescharacteristic, complemented
111#16837289C2211yescharacteristic, complemented
112#16837289C2211yescharacteristic, complemented
113#16837288C2211yescharacteristic, complemented
114#16837286C2211yescharacteristic, complemented
115#16837285C2211yescharacteristic, complemented
116#16837284C2211yescharacteristic, complemented
117#16837281C2211yescharacteristic, complemented
118#16837280C2211yescharacteristic
119#16837280C2211yescharacteristic
120#16837280C2211yescharacteristic
121#16837280C2211yescharacteristic
122#16837280C2211yescharacteristic
123#16837280C2211yescharacteristic
124#16837280C2211yescharacteristic, complemented
125#16837280C2211yescharacteristic, complemented
126#16837280C2211yescharacteristic, complemented
127#16837280C2211yescharacteristic, complemented
128#16837280C2211yescharacteristic, complemented
129#16837278C2211yescharacteristic
130#16837278C2211yescharacteristic
131#16837277C2211yescharacteristic, complemented
132#16837276C2211yescharacteristic
133#16837276C2211yescharacteristic
134#16837276C2211yescharacteristic
135#16837276C2211yescharacteristic
136#16837276C2211yescharacteristic
137#16837276C2211yescharacteristic, complemented
138#16837276C2211yescharacteristic, complemented
139#16837276C2211yescharacteristic, complemented
140#16837276C2211yescharacteristic, complemented
141#16837276C2211yescharacteristic, complemented
142#16837276C2211yescharacteristic, complemented
143#16837275C2211yescharacteristic, complemented
144#16837274C2211yescharacteristic, complemented
145#16837274C2211yescharacteristic, complemented
146#16837274C2211yescharacteristic, complemented
147#16837273C2211yescharacteristic
148#16837273C2211yescharacteristic
149#16837273C2211yescharacteristic
150#16837273C2211yescharacteristic
151#16837273C2211yescharacteristic
152#16837273C2211yescharacteristic, complemented
153#16837273C2211yescharacteristic, complemented
154#16837273C2211yescharacteristic, complemented
155#16837269C2211yescharacteristic, complemented
156#16837266C2211yescharacteristic, complemented
157#16837264C2211yescharacteristic, complemented
158#16837263C2211yescharacteristic, complemented
159#16837262C2211yescharacteristic, complemented
160#16837261C2211yescharacteristic
161#16837261C2211yescharacteristic
162#16837261C2211yescharacteristic, complemented
163#16837259C2211yescharacteristic
164#16837259C2211yescharacteristic, complemented
165#16837257C2211yescharacteristic
166#16837257C2211yescharacteristic
167#16837257C2211yescharacteristic
168#16837257C2211yescharacteristic
169C22⋊C4×Dic59C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic
171#16837249C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C2×C22⋊Q8×C59C2211yescharacteristic, complemented
175C2×C4×D4×C59C2211yescharacteristic
176C59×#398C2211yescharacteristic, complemented
177C59×#397C2211yescharacteristic, complemented
178C59×#397C2211yescharacteristic, complemented
179C59×#397C2211yescharacteristic, complemented
180C59×#395C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic
182C59×#394C2211yescharacteristic
183C59×#393C2211yescharacteristic, complemented
184C59×#387C2211yescharacteristic, complemented
185C59×#387C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic, complemented
187C59×#385C2211yescharacteristic, complemented
188C59×#381C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C2×D4×D59—24no—
200C2×D4×D59—24no—
201C2×D4×D59—24no—
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C22×C4×D59—24no—
205C22×C4×D59—24no—
206C22×C4×D59—42no—
207C22×C4×D59—42no—
208C22×C4×D59—42no—
209C22×C4×D59—42no—
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223C22×C4×D59C2311yescharacteristic
224#14273722—24no—
225#14273720—24no—
226#14273717—24no—
227#14273717—24no—
228#14273712—24no—
229#14273712—24no—
230#14273711—42no—
231#14273710—24no—
232#14273709—24no—
233#14273709—24no—
234#14273703—24no—
235#14273703—24no—
236#14273703—42no—
237#14273703—42no—
238#14273702—24no—
239#14273700—24no—
240#14273697—24no—
241#14273697—42no—
242C4×D236—24no—
243D4×Dic59—24no—
244#14273689—24no—
245#14273689—24no—
246#14273689—42no—
247C4×C22⋊D59—24no—
248C4×C22⋊D59D418yescomplemented
249(C22⋊D59)⋊C4—24no—
250(C22⋊D59)⋊C4—24no—
251(C22⋊D59)⋊C4—42no—
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C4⋊C4×D59—24no—
279C4⋊C4×D59—24no—
280C4⋊C4×D59—42no—
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×(C2×D59)⋊C4C2311yescharacteristic
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
319C22⋊C4×D59—24no—
320C22⋊C4×D59—24no—
321C22⋊C4×D59—24no—
322C22⋊C4×D59—42no—
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
327C2×C4×Dic59C2311yescharacteristic
328C2×C4×Dic59C2311yescharacteristic
329C42×D59—24no—
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
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C22×Q8×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C22⋊Q8×C59—24no—
359C4×D4×C59—24no—
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊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×C42×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C23×D59—22no—
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—22no—
399C23×D59—22no—
400C23×D59—22no—
401C23×D59—22no—
402C23×D59—41no—
403C23×D59—41no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59#4114yes—
407C23×D59C2411yescharacteristic
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C2×Q8×C59—22no—
412C2×Q8×C59—41no—
413C2×Q8×C59—41no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—22no—
417C22×C4×C59—22no—
418C22×C4×C59—41no—
419C22×C4×C59—41no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
422C22×C4×C59C2×D414yes—
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—22no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59C2×D414yes—
448C22×Dic59—22no—
449C22×Dic59—22no—
450C22×Dic59—22no—
451C22×Dic59—22no—
452C22×Dic59—41no—
453C22×Dic59—41no—
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466D4×D59—232no—
467C2×D236—22no—
468C2×D236—22no—
469C2×D236—22no—
470C2×D236—22no—
471C2×D236—22no—
472C2×D236—22no—
473C2×D236—22no—
474C2×D236—22no—
475C2×D236—22no—
476C2×D236—41no—
477C2×D236—41no—
478C2×D236#4114yes—
479C2×C4×D59—22no—
480C2×C4×D59—22no—
481C2×C4×D59—22no—
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—22no—
485C2×C4×D59—22no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59—22no—
489C2×C4×D59—22no—
490C2×C4×D59—22no—
491C2×C4×D59—22no—
492C2×C4×D59—22no—
493C2×C4×D59—22no—
494C2×C4×D59—22no—
495C2×C4×D59—22no—
496C2×C4×D59—22no—
497C2×C4×D59—22no—
498C2×C4×D59—22no—
499C2×C4×D59—22no—
500C2×C4×D59—22no—
501C2×C4×D59—22no—
502C2×C4×D59—22no—
503C2×C4×D59—416no—
504C2×C4×D59—416no—
505C2×C4×D59—41no—
506C2×C4×D59—41no—
507C2×C4×D59—41no—
508C2×C4×D59—41no—
509C2×C4×D59—41no—
510C2×C4×D59—41no—
511C2×C4×D59—41no—
512C2×C4×D59—41no—
513C2×C4×D59—41no—
514C2×C4×D59—41no—
515C2×C4×D59—41no—
516C2×C4×D59—41no—
517C2×C4×D59—41no—
518C2×C4×D59—41no—
519C2×C4×D59—41no—
520C2×C4×D59—41no—
521C2×C4×D59—41no—
522C2×C4×D59C2×D414yes—
523C4⋊C4×C59—22no—
524C4⋊C4×C59—22no—
525C4⋊C4×C59—22no—
526C4⋊C4×C59—22no—
527C4⋊C4×C59—22no—
528C4⋊C4×C59—22no—
529C4⋊C4×C59—41no—
530C4⋊C4×C59—41no—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59—22no—
534C22⋊C4×C59—22no—
535C22⋊C4×C59—22no—
536C22⋊C4×C59—22no—
537C22⋊C4×C59—41no—
538C22⋊C4×C59—41no—
539C22⋊C4×C59—41no—
540C22⋊C4×C59—41no—
541C42×C59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—22no—
545C22⋊Dic59—41no—
546C22⋊Dic59—41no—
547C22⋊Dic59—41no—
548C22⋊Dic59—41no—
549C22⋊Dic59C2×D414yes—
550(C2×D59)⋊C4—22no—
551(C2×D59)⋊C4—22no—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—22no—
557(C2×D59)⋊C4—22no—
558(C2×D59)⋊C4—22no—
559(C2×D59)⋊C4—22no—
560(C2×D59)⋊C4—22no—
561(C2×D59)⋊C4—22no—
562(C2×D59)⋊C4—22no—
563(C2×D59)⋊C4—22no—
564(C2×D59)⋊C4—22no—
565(C2×D59)⋊C4—22no—
566(C2×D59)⋊C4—22no—
567(C2×D59)⋊C4—22no—
568(C2×D59)⋊C4—22no—
569(C2×D59)⋊C4—22no—
570(C2×D59)⋊C4—22no—
571(C2×D59)⋊C4—22no—
572(C2×D59)⋊C4—41no—
573(C2×D59)⋊C4—41no—
574(C2×D59)⋊C4—41no—
575(C2×D59)⋊C4—41no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4—41no—
579(C2×D59)⋊C4C2×D414yes—
580C4⋊Dic59—22no—
581C4⋊Dic59—22no—
582C4⋊Dic59—22no—
583C4⋊Dic59—22no—
584C4⋊Dic59—22no—
585C4⋊Dic59—41no—
586C4⋊Dic59—41no—
587C4⋊Dic59—41no—
588Dic59⋊C4—22no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—22no—
592Dic59⋊C4—22no—
593Dic59⋊C4—22no—
594Dic59⋊C4—22no—
595Dic59⋊C4—22no—
596Dic59⋊C4—22no—
597Dic59⋊C4—22no—
598Dic59⋊C4—22no—
599Dic59⋊C4—41no—
600Dic59⋊C4—41no—
601Dic59⋊C4—41no—
602Dic59⋊C4—41no—
603Dic59⋊C4—41no—
604Dic59⋊C4—41no—
605Dic59⋊C4C2×D414yes—
606C4×Dic59—22no—
607C4×Dic59—22no—
608C4×Dic59—22no—
609C4×Dic59—41no—
610C4×Dic59—41no—
611C4×Dic59C2×D414yes—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59—21no—
624C23×C59C22×D412yes—
625C23×C59C2×#4112yes—
626C23×C59C2511yescharacteristic
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—21no—
632C22×D59—21no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—28no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—28no—
643C22×D59—28no—
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—44no—
652C22×D59—44no—
653C22×D59—44no—
654C22×D59—44no—
655C22×D59—44no—
656C22×D59—44no—
657C22×D59—44no—
658C22×D59—44no—
659C22×D59—44no—
660C22×D59—44no—
661C22×D59—44no—
662C22×D59C22×D412yes—
663C22×D59C2×#4112yes—
664C22×D59C2×#4112yes—
665C22×D59C2×#4112yes—
666C22×D59C2×#4112yes—
667C22×D59H(5,𝔽2)12yes—
668C22×D592−1+412yes—
669Q8×C59—82no—
670D4×C59—28no—
671C2×C4×C59—21no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—44no—
708C2×C4×C59—44no—
709C2×C4×C59C22×D412yes—
710C2×C4×C59C22×D412yes—
711C2×C4×C59C2×#4112yes—
712C22⋊D59—28no—
713C22⋊D59—28no—
714C22⋊D59—44no—
715C22⋊D59—82no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—44no—
749C2×Dic59—44no—
750C2×Dic59C22×D412yes—
751C2×Dic59C22×D412yes—
752C2×Dic59C22×D412yes—
753C2×Dic59H(5,𝔽2)12yes—
754D236—28no—
755D236—44no—
756D236—44no—
757D236—82no—
758C4×D59—28no—
759C4×D59—28no—
760C4×D59—44no—
761C4×D59—44no—
762C4×D59—44no—
763C4×D59—44no—
764C4×D59—44no—
765C4×D59—44no—
766C4×D59—44no—
767C4×D59—44no—
768C4×D59—44no—
769C4×D59—82no—
770C4×D59—82no—
771C4×D59—82no—
772#34991—591nomaximal, Sylow
773C22×C59—22no—
774C22×C59—22no—
775C22×C59—22no—
776C22×C59—22no—
777C22×C59—22no—
778C22×C59—22no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59—41no—
787C22×C59C23×D411yescharacteristic
788C22×C59C22×#4111yescharacteristic
789C22×C59C22×#4111yescharacteristic
790C22×C59C2×H(5,𝔽2)11yescharacteristic
791C22×C59C2×H(5,𝔽2)11yescharacteristic
792C22×C59C2×2−1+411yescharacteristic
793C22×C59#58511yescharacteristic
794C2×D59—22no—
795C2×D59—22no—
796C2×D59—22no—
797C2×D59—22no—
798C2×D59—22no—
799C2×D59—22no—
800C2×D59—22no—
801C2×D59—22no—
802C2×D59—22no—
803C2×D59—22no—
804C2×D59—22no—
805C2×D59—22no—
806C2×D59—22no—
807C2×D59—22no—
808C2×D59—22no—
809C2×D59—416no—
810C2×D59—416no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—41no—
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59#52514yes—
823C2×D59#53914yescomplemented
824C4×C59—22no—
825C4×C59—22no—
826C4×C59—22no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59—41no—
837Dic59—22no—
838Dic59—22no—
839Dic59—22no—
840Dic59—22no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849C2×#539—591no—
850C22×C4×D4—591no—
851#2852—591no—
852#2851—591no—
853#2849—591no—
854#2848—591no—
855#2638D5911yescharacteristic, complemented
856#2636—591no—
857#2633—591no—
858#2630—591no—
859#2480—591no—
860#2473—591no—
861#2466—591no—
862#2463—591no—
863#2460—591no—
864#2455—591no—
865#2449—591no—
866#2449—591no—
867#2443—591no—
868#2437—591no—
869#2425—591no—
870#2419—591no—
871#2418—591no—
872#2412—591no—
873#2410—591no—
874#2405—591no—
875#2325—591no—
876#2322—591no—
877#2318—591no—
878C4×#120—591no—
879C2×#385—591no—
880C2×C59—42no—
881C2×C59—42no—
882C2×C59C2×#52511yescharacteristic
883C2×C59C2×#53911yescharacteristic
884C2×C59#345911yescharacteristic
885C2×C59#348411yescharacteristic
886C2×C59#348911yescharacteristic
887C2×C59#351311yescharacteristic
888C2×C59#352011yescharacteristic
889D59—24no—
890D59—24no—
891D59—42no—
892D59—81no—
893C23×D4—591no—
894C24×C4—591no—
895C24×C4—591no—
896#539—1188no—
897C2×#126—591no—
898C2×#126—591no—
899C2×#125—591no—
900C2×#125—591no—
901C2×#123—591no—
902C2×#123—591no—
903C2×#123—591no—
904C2×#123—591no—
905C2×#123—591no—
906C2×#123—591no—
907C2×C22⋊Q8—591no—
908C2×C22⋊Q8—591no—
909C2×C22⋊Q8—591no—
910C2×C22⋊Q8—591no—
911C2×C22⋊Q8C2×D5911yescharacteristic, complemented
912C2×#121—591no—
913C2×#121—591no—
914C2×#120—591no—
915C2×#120—591no—
916C2×C4×D4—591no—
917C2×C4×D4—591no—
918C2×C4×D4—591no—
919C2×C4×D4—591no—
920C2×C4×D4—591no—
921C2×C4×D4—591no—
922C2×C4×D4—591no—
923C2×C4×D4—591no—
924C2×C4×D4—591no—
925C2×C4×D4—591no—
926C2×C4×D4—1188no—
927C2×C4×D4C2×D5911yescharacteristic
928C22×C4⋊C4—591no—
929C22×C4⋊C4—591no—
930C22×C4⋊C4—591no—
931C22×C22⋊C4—591no—
932C22×C22⋊C4—591no—
933C22×C22⋊C4—591no—
934C22×C22⋊C4—591no—
935C22×C42—591no—
936#400—591no—
937#399—591no—
938#399—591no—
939#399—591no—
940#398—591no—
941#398—591no—
942#398—591no—
943#398C2×D5911yescharacteristic, complemented
944#397—591no—
945#397—591no—
946#397—591no—
947#397C2×D5911yescharacteristic, complemented
948#397C2×D5911yescharacteristic, complemented
949#397C2×D5911yescharacteristic, complemented
950#396—591no—
951#396—591no—
952#396—591no—
953#396—591no—
954#395C2×D5911yescharacteristic, complemented
955#394—591no—
956#394—591no—
957#394—591no—
958#394—591no—
959#394—591no—
960#394—591no—
961#394—591no—
962#394—591no—
963#394C2×D5911yescharacteristic
964#394C2×D5911yescharacteristic
965#393C2×D5911yescharacteristic, complemented
966#392—591no—
967#392—591no—
968#389—591no—
969#389—591no—
970#389—591no—
971#389—591no—
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#387—591no—
981#387—591no—
982#387—591no—
983#387—591no—
984#387—591no—
985#387—591no—
986#387—591no—
987#387—591no—
988#387C2×D5911yescharacteristic, complemented
989#387C2×D5911yescharacteristic, complemented
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385—591no—
1008#385—591no—
1009#385—591no—
1010#385—591no—
1011#385—591no—
1012#385—591no—
1013#385—591no—
1014#385—591no—
1015#385—591no—
1016#385—591no—
1017#385—591no—
1018#385—591no—
1019#385—591no—
1020#385—591no—
1021#385—591no—
1022#385—591no—
1023#385—591no—
1024#385—591no—
1025#385—591no—
1026#385—591no—
1027#385—591no—
1028#385C2×D5911yescharacteristic, complemented
1029#385C2×D5911yescharacteristic, complemented
1030#383—591no—
1031#382—591no—
1032#381—591no—
1033#381—591no—
1034#381C2×D5911yescharacteristic, complemented
1035#380—591no—
1036#380—591no—
1037#380—591no—
1038#380—591no—
1039#380—591no—
1040#380—591no—
1041#379—591no—
1042#379—591no—
1043#379—591no—
1044#379—591no—
1045C4×C22⋊C4—591no—
1046C4×C22⋊C4—591no—
1047C4×C22⋊C4—591no—
1048C2×#95—591no—
1049C2×#95—591no—
1050C59#3499111yescharacteristic, complemented, Sylow
1051C25—591no—
1052C25—591no—
1053C22×Q8C22×D5911yescharacteristic
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4—591no—
1060C22×D4—591no—
1061C22×D4—591no—
1062C22×D4—1184no—
1063C22×D4—1184no—
1064C22×D4—1184no—
1065C22×D4C22×D5911yescharacteristic
1066C23×C4—591no—
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4—591no—
1070C23×C4—591no—
1071C23×C4—591no—
1072C23×C4—591no—
1073C23×C4—591no—
1074C23×C4—591no—
1075C23×C4—591no—
1076C23×C4—591no—
1077C23×C4—591no—
1078C23×C4—591no—
1079C23×C4—591no—
1080C23×C4—591no—
1081C23×C4—591no—
1082C23×C4—1184no—
1083C23×C4—1184no—
1084C23×C4—2362no—
1085C23×C4—2362no—
1086C23×C4—2362no—
1087C23×C4—2362no—
1088C23×C4C22×D5911yescharacteristic
1089C23×C4C22×D5911yescharacteristic
1090#126—1184no—
1091#126—1184no—
1092#125—1184no—
1093#125—1184no—
1094#123—1184no—
1095#123—1184no—
1096#123—1184no—
1097#123—1184no—
1098#123—1184no—
1099#123—2362no—
1100C22⋊Q8—24no—
1101C22⋊Q8—1184no—
1102C22⋊Q8—1184no—
1103C22⋊Q8—2362no—
1104C22⋊Q8—2362no—
1105#121—1184no—
1106#121—1184no—
1107#120—1184no—
1108#120—2362no—
1109C4×D4—24no—
1110C4×D4—598no—
1111C4×D4—1184no—
1112C4×D4—1184no—
1113C4×D4—1184no—
1114C4×D4—1184no—
1115C4×D4—1184no—
1116C4×D4—1184no—
1117C4×D4—1184no—
1118C4×D4—2362no—
1119C4×D4—2362no—
1120C2×C4⋊C4—591no—
1121C2×C4⋊C4—591no—
1122C2×C4⋊C4—591no—
1123C2×C4⋊C4—591no—
1124C2×C4⋊C4—591no—
1125C2×C4⋊C4—591no—
1126C2×C4⋊C4—591no—
1127C2×C4⋊C4—591no—
1128C2×C4⋊C4—591no—
1129C2×C4⋊C4—591no—
1130C2×C4⋊C4—591no—
1131C2×C4⋊C4—591no—
1132C2×C4⋊C4—591no—
1133C2×C4⋊C4—591no—
1134C2×C4⋊C4—591no—
1135C2×C4⋊C4—591no—
1136C2×C4⋊C4—591no—
1137C2×C4⋊C4—591no—
1138C2×C4⋊C4—591no—
1139C2×C4⋊C4—591no—
1140C2×C4⋊C4—591no—
1141C2×C4⋊C4—591no—
1142C2×C4⋊C4—591no—
1143C2×C4⋊C4—591no—
1144C2×C4⋊C4—591no—
1145C2×C4⋊C4—591no—
1146C2×C4⋊C4—1184no—
1147C2×C4⋊C4—1184no—
1148C2×C4⋊C4—2362no—
1149C2×C4⋊C4C22×D5911yescharacteristic
1150C2×C4⋊C4C22×D5911yescharacteristic
1151C2×C4⋊C4C22×D5911yescharacteristic
1152C2×C4⋊C4C22×D5911yescharacteristic
1153C2×C4⋊C4C22×D5911yescharacteristic
1154C2×C4⋊C4C22×D5911yescharacteristic
1155C2×C4⋊C4C22×D5911yescharacteristic
1156C2×C4⋊C4C22×D5911yescharacteristic
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—1184no—
1196C2×C22⋊C4—1184no—
1197C2×C22⋊C4—1184no—
1198C2×C22⋊C4—2362no—
1199C2×C22⋊C4C22×D5911yescharacteristic
1200C2×C22⋊C4C22×D5911yescharacteristic
1201C2×C22⋊C4C22×D5911yescharacteristic
1202C2×C22⋊C4C22×D5911yescharacteristic
1203C2×C22⋊C4C22×D5911yescharacteristic
1204C2×C22⋊C4C22×D5911yescharacteristic
1205C2×C22⋊C4C22×D5911yescharacteristic
1206C2×C22⋊C4C22×D5911yescharacteristic
1207C2×C22⋊C4C22×D5911yescharacteristic
1208C2×C22⋊C4C22×D5911yescharacteristic
1209C2×C42—591no—
1210C2×C42—591no—
1211C2×C42—591no—
1212C2×C42—591no—
1213C2×C42—591no—
1214C2×C42—591no—
1215C2×C42—1184no—
1216C2×C42C22×D5911yescharacteristic
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#95—591no—
1222#95—591no—
1223#95—591no—
1224#95—591no—
1225#95—591no—
1226#95—591no—
1227#95—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95C22×D5911yescharacteristic
1242#95C22×D5911yescharacteristic
1243#95C22×D5911yescharacteristic
1244#95C22×D5911yescharacteristic
1245#95C22×D5911yescharacteristic
1246#95C22×D5911yescharacteristic
1247#95C22×D5911yescharacteristic
1248#95C22×D5911yescharacteristic
1249#95C22×D5911yescharacteristic
1250#95C22×D5911yescharacteristic
1251#95C22×D5911yescharacteristic
1252#95C22×D5911yescharacteristic
1253C24—591no—
1254C24—591no—
1255C24—591no—
1256C24—594no—
1257C24—591no—
1258C24—1182no—
1259C24—1182no—
1260C24—1182no—
1261C24—1182no—
1262C24—1182no—
1263C24—1182no—
1264C24—1182no—
1265C24—1182no—
1266C24—1182no—
1267C24—2361no—
1268C24—2361no—
1269C24—2361no—
1270C24—2361no—
1271C24C23×D5911yescharacteristic
1272C24C23×D5911yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×Q8—41no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—594no—
1280C2×D4—594no—
1281C2×D4—1182no—
1282C2×D4—1182no—
1283C2×D4—1182no—
1284C2×D4—1182no—
1285C2×D4—1182no—
1286C2×D4—1182no—
1287C2×D4—1182no—
1288C2×D4—1182no—
1289C2×D4—1182no—
1290C2×D4—1182no—
1291C2×D4—11832no—
1292C2×D4—1182no—
1293C2×D4—1182no—
1294C2×D4—1182no—
1295C2×D4—1182no—
1296C2×D4—1182no—
1297C2×D4—1182no—
1298C2×D4—2361no—
1299C2×D4—2361no—
1300C2×D4—2361no—
1301C2×D4—2361no—
1302C2×D4—2361no—
1303C2×D4—2361no—
1304C22×C4—22no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—591no—
1310C22×C4—591no—
1311C22×C4—591no—
1312C22×C4—591no—
1313C22×C4—594no—
1314C22×C4—591no—
1315C22×C4—591no—
1316C22×C4—591no—
1317C22×C4—591no—
1318C22×C4—591no—
1319C22×C4—591no—
1320C22×C4—591no—
1321C22×C4—591no—
1322C22×C4—1182no—
1323C22×C4—1182no—
1324C22×C4—1182no—
1325C22×C4—1182no—
1326C22×C4—1182no—
1327C22×C4—1182no—
1328C22×C4—1182no—
1329C22×C4—1182no—
1330C22×C4—1182no—
1331C22×C4—1182no—
1332C22×C4—1182no—
1333C22×C4—1182no—
1334C22×C4—1182no—
1335C22×C4—1182no—
1336C22×C4—1182no—
1337C22×C4—1182no—
1338C22×C4—1182no—
1339C22×C4—1182no—
1340C22×C4—1182no—
1341C22×C4—1182no—
1342C22×C4—1182no—
1343C22×C4—1182no—
1344C22×C4—1182no—
1345C22×C4—1182no—
1346C22×C4—1182no—
1347C22×C4—1182no—
1348C22×C4—1182no—
1349C22×C4—1182no—
1350C22×C4—2361no—
1351C22×C4—2361no—
1352C22×C4—2361no—
1353C22×C4—2361no—
1354C22×C4—2361no—
1355C22×C4—2361no—
1356C22×C4—2361no—
1357C22×C4—2361no—
1358C22×C4—2361no—
1359C22×C4—2361no—
1360C22×C4—2361no—
1361C22×C4—2361no—
1362C22×C4—2361no—
1363C22×C4—2361no—
1364C22×C4—2361no—
1365C22×C4—2361no—
1366C22×C4—2361no—
1367C22×C4—23616no—
1368C22×C4—23616no—
1369C22×C4—2361no—
1370C22×C4—2361no—
1371C22×C4D4×D5914yes—
1372C22×C4C23×D5911yescharacteristic
1373C22×C4C23×D5911yescharacteristic
1374C22×C4C23×D5911yescharacteristic
1375C22×C4C23×D5911yescharacteristic
1376C22×C4C23×D5911yescharacteristic
1377C22×C4C23×D5911yescharacteristic
1378C22×C4C23×D5911yescharacteristic
1379C22×C4C23×D5911yescharacteristic
1380C22×C4C23×D5911yescharacteristic
1381C22×C4C23×D5911yescharacteristic
1382C22×C4C23×D5911yescharacteristic
1383C22×C4C23×D5911yescharacteristic
1384C22×C4C23×D5911yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—594no—
1394C4⋊C4—1182no—
1395C4⋊C4—1182no—
1396C4⋊C4—1182no—
1397C4⋊C4—1182no—
1398C4⋊C4—1182no—
1399C4⋊C4—1182no—
1400C4⋊C4—1182no—
1401C4⋊C4—1182no—
1402C4⋊C4—1182no—
1403C4⋊C4—1182no—
1404C4⋊C4—1182no—
1405C4⋊C4—1182no—
1406C4⋊C4—1182no—
1407C4⋊C4—1182no—
1408C4⋊C4—1182no—
1409C4⋊C4—1182no—
1410C4⋊C4—2361no—
1411C4⋊C4—2361no—
1412C4⋊C4—2361no—
1413C4⋊C4—2361no—
1414C4⋊C4—2361no—
1415C4⋊C4—2361no—
1416C4⋊C4—2361no—
1417C4⋊C4—2361no—
1418C4⋊C4—2361no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—594no—
1430C22⋊C4—594no—
1431C22⋊C4—1182no—
1432C22⋊C4—1182no—
1433C22⋊C4—1182no—
1434C22⋊C4—1182no—
1435C22⋊C4—1182no—
1436C22⋊C4—1182no—
1437C22⋊C4—1182no—
1438C22⋊C4—1182no—
1439C22⋊C4—1182no—
1440C22⋊C4—1182no—
1441C22⋊C4—1182no—
1442C22⋊C4—1182no—
1443C22⋊C4—1182no—
1444C22⋊C4—1182no—
1445C22⋊C4—1182no—
1446C22⋊C4—1182no—
1447C22⋊C4—1182no—
1448C22⋊C4—1182no—
1449C22⋊C4—1182no—
1450C22⋊C4—1182no—
1451C22⋊C4—1182no—
1452C22⋊C4—1182no—
1453C22⋊C4—1182no—
1454C22⋊C4—1182no—
1455C22⋊C4—1182no—
1456C22⋊C4—2361no—
1457C22⋊C4—2361no—
1458C22⋊C4—2361no—
1459C22⋊C4—2361no—
1460C22⋊C4—2361no—
1461C22⋊C4—2361no—
1462C22⋊C4—2361no—
1463C22⋊C4—2361no—
1464C22⋊C4—2361no—
1465C22⋊C4—2361no—
1466C22⋊C4—2361no—
1467C42—22no—
1468C42—594no—
1469C42—1182no—
1470C42—1182no—
1471C42—1182no—
1472C42—2361no—
1473C42—2361no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—592no—
1487C23—592no—
1488C23—592no—
1489C23—592no—
1490C23—592no—
1491C23—592no—
1492C23—592no—
1493C23—1188no—
1494C23—1188no—
1495C23—1188no—
1496C23—1181no—
1497C23—1181no—
1498C23—1181no—
1499C23—1181no—
1500C23—1181no—
1501C23—1181no—
1502C23—1181no—
1503C23—1181no—
1504C23—1181no—
1505C23—1181no—
1506C23—1181no—
1507C23—1181no—
1508C23—1181no—
1509C23—1181no—
1510C23—1181no—
1511C23—1181no—
1512C23—1181no—
1513C23—1181no—
1514C23—1181no—
1515C23—1181no—
1516C23—1181no—
1517C23—2364no—
1518C23—2364no—
1519C23—2364no—
1520C23—2364no—
1521C23—2364no—
1522C23—2364no—
1523C23—2364no—
1524C23—2364no—
1525C23—2364no—
1526C23—2364no—
1527C23—2364no—
1528C23C2×D4×D5912yes—
1529C23#41×D5912yes—
1530C23C24×D5911yescharacteristic
1531Q8—82no—
1532D4—28no—
1533D4—1188no—
1534D4—1188no—
1535D4—1188no—
1536D4—4722no—
1537D4—4722no—
1538D4—2364no—
1539D4—2364no—
1540D4—2364no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—592no—
1580C2×C4—592no—
1581C2×C4—592no—
1582C2×C4—592no—
1583C2×C4—1188no—
1584C2×C4—1188no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—1181no—
1603C2×C4—1181no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—1181no—
1611C2×C4—1181no—
1612C2×C4—1181no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—4722no—
1618C2×C4—4722no—
1619C2×C4—4722no—
1620C2×C4—2364no—
1621C2×C4—2364no—
1622C2×C4—2364no—
1623C2×C4—2364no—
1624C2×C4—2364no—
1625C2×C4—2364no—
1626C2×C4—2364no—
1627C2×C4—2364no—
1628C2×C4—2364no—
1629C2×C4—2364no—
1630C2×C4—2364no—
1631C2×C4C2×D4×D5912yes—
1632C2×C4C2×D4×D5912yes—
1633C2×C4#41×D5912yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—594no—
1649C22—594no—
1650C22—1182no—
1651C22—1182no—
1652C22—1182no—
1653C22—1182no—
1654C22—1182no—
1655C22—1182no—
1656C22—1182no—
1657C22—1182no—
1658C22—1182no—
1659C22—1182no—
1660C22—1182no—
1661C22—1182no—
1662C22—1182no—
1663C22—1182no—
1664C22—1182no—
1665C22—23616no—
1666C22—23616no—
1667C22—2361no—
1668C22—2361no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22—2361no—
1674C22—2361no—
1675C22—2361no—
1676C22—2361no—
1677C22—2361no—
1678C22C22×D4×D5911yescharacteristic
1679C22C2×#41×D5911yescharacteristic
1680C22C2×#41×D5911yescharacteristic
1681C22H(5,𝔽2)×D5911yescharacteristic
1682C22H(5,𝔽2)×D5911yescharacteristic
1683C222−1+4×D5911yescharacteristic
1684C22#1683823911yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—1182no—
1699C4—1182no—
1700C4—1182no—
1701C4—1182no—
1702C4—2361no—
1703C4—2361no—
1704C4—2361no—
1705C4—2361no—
1706C4—2361no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C2—42no—
1711C2—42no—
1712C2—1184no—
1713C2—1184no—
1714C2—4721no—
1715C2—2362no—
1716C2#525×D5911yescharacteristic
1717C2#539×D5911yescharacteristic
1718C2#2143750411yescharacteristic
1719C2#2143772811yescharacteristic
1720C2#2143777411yescharacteristic
1721C2#2143804211yescharacteristic
1722C2#2143814311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2638C2
prime radical#21427465C2
hypercenter#2638D59
hypocenterC59#34991
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2638

Complements

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

NH ≅ G/Ntype
1. C2×#16837998C2semidirect
2. C2×C4×D4×D59C2semidirect
3. #21432414C2semidirect
4. #21432403C2semidirect
5. #21432389C2semidirect
6. #21432380C2semidirect
7. #21429999C2semidirect
8. #21429968C2semidirect
9. #21429933C2semidirect
10. #21428335C2semidirect
11. #21428238C2semidirect
12. #21428125C2semidirect
13. #21428093C2semidirect
14. #21428049C2semidirect
15. #21427974C2semidirect
16. #21427898C2semidirect
17. #21427898C2semidirect
18. #21427826C2semidirect
19. #21427756C2semidirect
20. #21427640C2semidirect
21. #21427568C2semidirect
22. #21427559C2semidirect
23. #21427485C2semidirect
25. #21427418C2semidirect
26. #21426795C2semidirect
27. #21426769C2semidirect
28. #21426725C2semidirect
29. #21426597C2semidirect
30. #385×D59C2semidirect
31. C59×#2638C2semidirect
36. C2×#14273722C22semidirect
37. C2×#14273720C22semidirect
38. C2×#14273717C22semidirect
39. C2×#14273717C22semidirect
41. C2×#14273712C22semidirect
42. C2×#14273711C22semidirect
43. C2×#14273710C22semidirect
45. C2×#14273709C22semidirect
47. C2×#14273703C22semidirect
48. C2×#14273703C22semidirect
49. C2×#14273703C22semidirect
58. C2×#14273689C22semidirect
63. C2×(C22⋊D59)⋊C4C22semidirect
66. C2×C4⋊C4×D59C22semidirect
67. C2×C4⋊C4×D59C22semidirect
73. #16837343C22semidirect
74. #16837338C22semidirect
75. #16837337C22semidirect
76. #16837337C22semidirect
77. #16837336C22semidirect
78. #16837335C22semidirect
79. #16837335C22semidirect
80. #16837331C22semidirect
81. #16837330C22semidirect
82. #16837330C22semidirect
83. #16837325C22semidirect
84. #16837325C22semidirect
85. #16837324C22semidirect
86. #16837324C22semidirect
87. #16837320C22semidirect
89. #16837318C22semidirect
92. #16837317C22semidirect
93. #16837317C22semidirect
97. #16837301C22semidirect
98. #16837299C22semidirect
99. #16837299C22semidirect
100. #16837297C22semidirect
101. #16837294C22semidirect
102. #16837293C22semidirect
103. #16837292C22semidirect
104. #16837291C22semidirect
105. #16837291C22semidirect
106. #16837291C22semidirect
107. #16837290C22semidirect
108. #16837290C22semidirect
109. #16837289C22semidirect
110. #16837289C22semidirect
111. #16837289C22semidirect
112. #16837289C22semidirect
113. #16837288C22semidirect
114. #16837286C22semidirect
115. #16837285C22semidirect
116. #16837284C22semidirect
117. #16837281C22semidirect
124. #16837280C22semidirect
125. #16837280C22semidirect
126. #16837280C22semidirect
127. #16837280C22semidirect
128. #16837280C22semidirect
131. #16837277C22semidirect
137. #16837276C22semidirect
138. #16837276C22semidirect
139. #16837276C22semidirect
140. #16837276C22semidirect
141. #16837276C22semidirect
142. #16837276C22semidirect
143. #16837275C22semidirect
144. #16837274C22semidirect
145. #16837274C22semidirect
146. #16837274C22semidirect
152. #16837273C22semidirect
153. #16837273C22semidirect
154. #16837273C22semidirect
155. #16837269C22semidirect
156. #16837266C22semidirect
157. #16837264C22semidirect
158. #16837263C22semidirect
159. #16837262C22semidirect
162. #16837261C22semidirect
164. #16837259C22semidirect
169. C22⋊C4×Dic59C22semidirect
171. #16837249C22semidirect
172. #95×D59C22semidirect
173. #95×D59C22semidirect
174. C2×C22⋊Q8×C59C22semidirect
176. C59×#398C22semidirect
177. C59×#397C22semidirect
178. C59×#397C22semidirect
179. C59×#397C22semidirect
180. C59×#395C22semidirect
183. C59×#393C22semidirect
184. C59×#387C22semidirect
185. C59×#387C22semidirect
186. C59×#385C22semidirect
187. C59×#385C22semidirect
188. C59×#381C22semidirect
248. C4×C22⋊D59D4semidirect
823. C2×D59#539semidirect
855. #2638D59semidirect
911. C2×C22⋊Q8C2×D59semidirect
943. #398C2×D59semidirect
947. #397C2×D59semidirect
948. #397C2×D59semidirect
949. #397C2×D59semidirect
954. #395C2×D59semidirect
965. #393C2×D59semidirect
988. #387C2×D59semidirect
989. #387C2×D59semidirect
1028. #385C2×D59semidirect
1029. #385C2×D59semidirect
1034. #381C2×D59semidirect
1050. C59#34991semidirect

Maximal subgroups

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

subgroupindex
C2×#168379982
C2×C4×D4×D592
#214324142
#214324032
#214323892
#214323802
#214299992
#214299682
#214299332
#214283352
#214282382
#214281252
#214280932
#214280492
#214279742
#214278982
#214278262
#214277562
#214276402
#214275682
#214275592
#214274852
#214274652
#214274182
#214267952
#214267692
#214267252
#214265972
#385×D592
C59×#26382
#3499159