Finite Group Databasebeta

← #28754493

Subgroups — #28754493

Order 15104.

2544 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838143C211yesmaximal, characteristic
2#21427236C211yesmaximal, characteristic, complemented
3#21427236C211yesmaximal, characteristic, complemented
4#21427236C211yesmaximal, characteristic, complemented
5#21427225C211yesmaximal, characteristic, complemented
6#21427216C211yesmaximal, characteristic, complemented
7#21427160C211yesmaximal, characteristic, complemented
8#21427147C211yesmaximal, characteristic, complemented
9#21427142C211yesmaximal, characteristic, complemented
10#21427135C211yesmaximal, characteristic, complemented
11#21427133C211yesmaximal, characteristic, complemented
12#21427115C211yesmaximal, characteristic, complemented
13#21427114C211yesmaximal, characteristic, complemented
14#21427095C211yesmaximal, characteristic, complemented
15#21427081C211yesmaximal, characteristic, complemented
16#21426889C211yesmaximal, characteristic, complemented
17#21426880C211yesmaximal, characteristic, complemented
18#21426875C211yesmaximal, characteristic, complemented
19#21426871C211yesmaximal, characteristic, complemented
20#21426860C211yesmaximal, characteristic, complemented
21#21426859C211yesmaximal, characteristic, complemented
22#21426821C211yesmaximal, characteristic, complemented
23#21426800C211yesmaximal, characteristic, complemented
24#21426795C211yesmaximal, characteristic, complemented
25#21426790C211yesmaximal, characteristic, complemented
26#21426784C211yesmaximal, characteristic, complemented
27#21426769C211yesmaximal, characteristic, complemented
28C4×#14273697C211yesmaximal, characteristic, complemented
29C4×#14273697C211yesmaximal, characteristic, complemented
30#21426597C211yesmaximal, characteristic, complemented
31C59×#2373C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33#16838143C4116yescomplemented
34C2×#14273724C2211yescharacteristic
35C2×#14273721C2211yescharacteristic
36C2×#14273712C2211yescharacteristic
37C2×#14273712C2211yescharacteristic
38C2×#14273712C2211yescharacteristic
39C2×#14273702C2211yescharacteristic
40C2×#14273702C2211yescharacteristic
41C2×#14273702C2211yescharacteristic
42C2×#14273700C2211yescharacteristic
43C2×#14273700C2211yescharacteristic
44C2×#14273700C2211yescharacteristic
45C2×#14273697C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×#14273697C2211yescharacteristic
48C2×C4×D236C2211yescharacteristic
49C2×C4×D236C2211yescharacteristic
50C2×C4×D236C2211yescharacteristic
51C2×C4×D236C2211yescharacteristic
52C2×C4×D236C2211yescharacteristic, complemented
53C2×C4×D236C2211yescharacteristic, complemented
54C2×#14273689C2211yescharacteristic
55C2×#14273689C2211yescharacteristic
56C2×#14273689C2211yescharacteristic, complemented
57C2×C4×C22⋊D59C2211yescharacteristic
58C2×C4×C22⋊D59C2211yescharacteristic
59C2×(C22⋊D59)⋊C4C2211yescharacteristic
60C2×#14273685C2211yescharacteristic, complemented
61C2×#14273684C2211yescharacteristic, complemented
62C2×C4⋊C4×D59C2211yescharacteristic, complemented
63#16837304C2211yescharacteristic
64#16837304C2211yescharacteristic
65#16837304C2211yescharacteristic
66#16837304C2211yescharacteristic, complemented
67#16837304C2211yescharacteristic, complemented
68#16837303C2211yescharacteristic
69#16837303C2211yescharacteristic
70#16837303C2211yescharacteristic
71#16837303C2211yescharacteristic, complemented
72#16837302C2211yescharacteristic
73#16837302C2211yescharacteristic
74#16837302C2211yescharacteristic
75#16837301C2211yescharacteristic, complemented
76#16837301C2211yescharacteristic, complemented
77#16837299C2211yescharacteristic, complemented
78#16837299C2211yescharacteristic, complemented
79#16837297C2211yescharacteristic, complemented
80#16837295C2211yescharacteristic
81#16837295C2211yescharacteristic
82#16837295C2211yescharacteristic
83#16837294C2211yescharacteristic
84#16837294C2211yescharacteristic
85#16837294C2211yescharacteristic
86#16837293C2211yescharacteristic
87#16837293C2211yescharacteristic
88#16837293C2211yescharacteristic
89#16837293C2211yescharacteristic, complemented
90#16837293C2211yescharacteristic, complemented
91#16837293C2211yescharacteristic, complemented
92#16837292C2211yescharacteristic
93#16837292C2211yescharacteristic
94#16837292C2211yescharacteristic
95#16837292C2211yescharacteristic, complemented
96#16837292C2211yescharacteristic, complemented
97#16837292C2211yescharacteristic, complemented
98#16837291C2211yescharacteristic
99#16837291C2211yescharacteristic
100#16837291C2211yescharacteristic
101#16837289C2211yescharacteristic, complemented
102#16837289C2211yescharacteristic, complemented
103#16837288C2211yescharacteristic, complemented
104#16837288C2211yescharacteristic, complemented
105#16837288C2211yescharacteristic, complemented
106#16837286C2211yescharacteristic, complemented
107#16837286C2211yescharacteristic, complemented
108#16837284C2211yescharacteristic, complemented
109#16837283C2211yescharacteristic, complemented
110#16837281C2211yescharacteristic
111#16837280C2211yescharacteristic
112#16837280C2211yescharacteristic
113#16837280C2211yescharacteristic
114#16837280C2211yescharacteristic
115#16837280C2211yescharacteristic
116#16837280C2211yescharacteristic
117#16837280C2211yescharacteristic
118#16837280C2211yescharacteristic
119#16837280C2211yescharacteristic
120#16837280C2211yescharacteristic
121#16837280C2211yescharacteristic
122#16837280C2211yescharacteristic
123#16837280C2211yescharacteristic, complemented
124#16837280C2211yescharacteristic, complemented
125#16837280C2211yescharacteristic, complemented
126#16837280C2211yescharacteristic, complemented
127#16837280C2211yescharacteristic, complemented
128#16837280C2211yescharacteristic, complemented
129#16837279C2211yescharacteristic
130#16837279C2211yescharacteristic
131#16837278C2211yescharacteristic
132#16837278C2211yescharacteristic
133#16837278C2211yescharacteristic
134#16837277C2211yescharacteristic
135#16837277C2211yescharacteristic
136#16837276C2211yescharacteristic
137#16837276C2211yescharacteristic
138#16837276C2211yescharacteristic
139#16837276C2211yescharacteristic
140#16837276C2211yescharacteristic, complemented
141#16837276C2211yescharacteristic, complemented
142#16837276C2211yescharacteristic, complemented
143#16837273C2211yescharacteristic
144#16837273C2211yescharacteristic
145#16837268C2211yescharacteristic, complemented
146#16837264C2211yescharacteristic, complemented
147#16837261C2211yescharacteristic, complemented
148#16837259C2211yescharacteristic, complemented
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151#16837257C2211yescharacteristic
152C4⋊C4×Dic59C2211yescharacteristic, complemented
153C4×Dic59⋊C4C2211yescharacteristic, complemented
154C4×Dic59⋊C4C2211yescharacteristic, complemented
155C4×C4⋊Dic59C2211yescharacteristic, complemented
156#16837253C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic
158C4×(C2×D59)⋊C4C2211yescharacteristic
159C4×(C2×D59)⋊C4C2211yescharacteristic
160C4×(C2×D59)⋊C4C2211yescharacteristic
161C4×(C2×D59)⋊C4C2211yescharacteristic
162C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
164#16837249C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173C2×#126×C59C2211yescharacteristic
174C59×#389C2211yescharacteristic, complemented
175C59×#388C2211yescharacteristic
176C59×#388C2211yescharacteristic
177C59×#388C2211yescharacteristic
178C59×#387C2211yescharacteristic, complemented
179C59×#387C2211yescharacteristic, complemented
180C59×#387C2211yescharacteristic, complemented
181C59×#385C2211yescharacteristic
182C4×C4⋊C4×C59C2211yescharacteristic, complemented
183C4×C4⋊C4×C59C2211yescharacteristic, complemented
184C4×C4⋊C4×C59C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic
186C4×C22⋊C4×C59C2211yescharacteristic
187C59×#376C2211yescharacteristic, complemented
188C24×D59C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C23×Dic59C2311yescharacteristic
202C22×C4×D59—42no—
203C22×C4×D59—42no—
204C22×C4×D59—42no—
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218#14273724C2×C418yescomplemented
219#14273721C2×C418yescomplemented
220#14273712C2×C418yescomplemented
221#14273712C2×C418yescomplemented
222#14273712C2×C418yescomplemented
223#14273702C2×C418yescomplemented
224#14273702C2×C418yescomplemented
225#14273702C2×C418yescomplemented
226#14273700C2×C418yescomplemented
227#14273700C2×C418yescomplemented
228#14273700C2×C418yescomplemented
229#14273697C2×C418yescomplemented
230#14273697C2×C418yescomplemented
231#14273697C2×C418yescomplemented
232C4×D236—42no—
233C4×D236—42no—
234C4×D236—42no—
235C4×D236—42no—
236C4×D236—42no—
237C4×D236—42no—
238#14273689—42no—
239#14273689—42no—
240#14273689—42no—
241C4×C22⋊D59—42no—
242C4×C22⋊D59—42no—
243(C22⋊D59)⋊C4—42no—
244#14273685—42no—
245#14273684—42no—
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C4⋊C4×D59—42no—
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C23×C4×C59C2311yescharacteristic
341#126×C59C2×C418yescomplemented
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C42×C59C2311yescharacteristic
357C2×C42×C59C2311yescharacteristic
358C2×C42×C59C2311yescharacteristic
359C2×C42×C59C2311yescharacteristic
360C2×C42×C59C2311yescharacteristic
361C2×C42×C59C2311yescharacteristic
362C2×C42×C59C2311yescharacteristic
363C2×C42×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369#95×C59C2311yescharacteristic
370#95×C59C2311yescharacteristic
371#95×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376C24×C59C2411yescharacteristic
377C23×D59—41no—
378C23×D59—41no—
379C23×D59—41no—
380C23×D59—41no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59C22×C414yes—
384C23×D59C2411yescharacteristic
385C23×D59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C22×C4×C59—22no—
390C22×C4×C59—22no—
391C22×C4×C59—41no—
392C22×C4×C59C2411yescharacteristic
393C22×C4×C59C2411yescharacteristic
394C22×C4×C59C2411yescharacteristic
395C22×C4×C59C2411yescharacteristic
396C22×C4×C59C2411yescharacteristic
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C2×C22⋊D59—41no—
407C2×C22⋊D59—41no—
408C2×C22⋊D59—41no—
409C2×C22⋊D59—41no—
410C2×C22⋊D59—41no—
411C2×C22⋊D59—41no—
412C2×C22⋊D59C22×C414yes—
413C2×C22⋊D59C22×C414yes—
414C2×C22⋊D59C22×C414yes—
415C22×Dic59—22no—
416C22×Dic59—41no—
417C22×Dic59—41no—
418C22×Dic59C2411yescharacteristic
419C22×Dic59C2411yescharacteristic
420C22×Dic59C2411yescharacteristic
421C22×Dic59C2411yescharacteristic
422C22×Dic59C2411yescharacteristic
423C22×Dic59C2411yescharacteristic
424C22×Dic59C2411yescharacteristic
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429C2×D236—41no—
430C2×D236—41no—
431C2×D236—41no—
432C2×D236—41no—
433C2×D236—41no—
434C2×D236—41no—
435C2×D236—41no—
436C2×D236—41no—
437C2×D236—41no—
438C2×D236—41no—
439C2×D236—41no—
440C2×D236—41no—
441C2×D236—41no—
442C2×D236—41no—
443C2×D236—41no—
444C2×D236—41no—
445C2×D236—41no—
446C2×D236—41no—
447C2×D236C22×C414yes—
448C2×D236C22×C414yes—
449C2×D236C22×C414yes—
450C2×D236C22×C414yes—
451C2×D236C22×C414yes—
452C2×D236C22×C414yes—
453C2×D236C22×C414yescomplemented
454C2×D236C22×C414yescomplemented
455C2×D236C22×C414yescomplemented
456C2×C4×D59—22no—
457C2×C4×D59—22no—
458C2×C4×D59—22no—
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—41no—
466C2×C4×D59—41no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—41no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59—416no—
478C2×C4×D59—41no—
479C2×C4×D59—41no—
480C2×C4×D59—41no—
481C2×C4×D59—41no—
482C2×C4×D59—41no—
483C2×C4×D59—41no—
484C2×C4×D59—41no—
485C2×C4×D59—41no—
486C2×C4×D59—41no—
487C2×C4×D59—41no—
488C2×C4×D59—41no—
489C2×C4×D59—41no—
490C2×C4×D59—41no—
491C2×C4×D59—41no—
492C2×C4×D59—41no—
493C2×C4×D59C22×C414yescomplemented
494C2×C4×D59C22×C414yescomplemented
495C2×C4×D59C22×C414yescomplemented
496C4⋊C4×C59—22no—
497C4⋊C4×C59—22no—
498C4⋊C4×C59—41no—
499C4⋊C4×C59—41no—
500C4⋊C4×C59—41no—
501C4⋊C4×C59C22×C414yescomplemented
502C4⋊C4×C59C22×C414yescomplemented
503C4⋊C4×C59C22×C414yescomplemented
504C22⋊C4×C59—41no—
505C22⋊C4×C59—41no—
506C22⋊C4×C59—41no—
507C22⋊C4×C59C22×C414yes—
508C22⋊C4×C59C22×C414yes—
509C22⋊C4×C59C22×C414yes—
510C42×C59—22no—
511C42×C59—22no—
512C42×C59—41no—
513C42×C59—41no—
514C42×C59—41no—
515C42×C59—41no—
516C42×C59—41no—
517C42×C59C22×C414yescomplemented
518C22⋊Dic59—41no—
519C22⋊Dic59—41no—
520C22⋊Dic59—41no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—22no—
524(C2×D59)⋊C4—22no—
525(C2×D59)⋊C4—22no—
526(C2×D59)⋊C4—22no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4—41no—
544(C2×D59)⋊C4—41no—
545(C2×D59)⋊C4—41no—
546(C2×D59)⋊C4—41no—
547(C2×D59)⋊C4—41no—
548(C2×D59)⋊C4—41no—
549(C2×D59)⋊C4—41no—
550(C2×D59)⋊C4—41no—
551(C2×D59)⋊C4C22×C414yes—
552(C2×D59)⋊C4C22×C414yes—
553(C2×D59)⋊C4C22×C414yes—
554(C2×D59)⋊C4C22×C414yes—
555(C2×D59)⋊C4C22×C414yes—
556(C2×D59)⋊C4C22×C414yes—
557(C2×D59)⋊C4C22×C414yescomplemented
558(C2×D59)⋊C4C22×C414yescomplemented
559(C2×D59)⋊C4C22×C414yescomplemented
560C4⋊Dic59—22no—
561C4⋊Dic59—22no—
562C4⋊Dic59—41no—
563C4⋊Dic59—41no—
564C4⋊Dic59—41no—
565C4⋊Dic59—41no—
566C4⋊Dic59—41no—
567Dic59⋊C4—22no—
568Dic59⋊C4—22no—
569Dic59⋊C4—41no—
570Dic59⋊C4—41no—
571Dic59⋊C4—41no—
572Dic59⋊C4—41no—
573Dic59⋊C4C22×C414yescomplemented
574Dic59⋊C4C22×C414yescomplemented
575Dic59⋊C4C22×C414yescomplemented
576C4×Dic59—22no—
577C4×Dic59—41no—
578C4×Dic59—41no—
579C4×Dic59—41no—
580C4×Dic59—41no—
581C4×Dic59—41no—
582C4×Dic59—41no—
583C4×Dic59—41no—
584C4×Dic59—41no—
585C4×Dic59—41no—
586C4×Dic59—41no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59C23×C412yes—
594C23×C59C2511yescharacteristic
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—21no—
600C22×D59—21no—
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—44no—
626C22×D59—44no—
627C22×D59—44no—
628C22×D59—44no—
629C22×D59—44no—
630C22×D59—44no—
631C22×D59—44no—
632C22×D59C23×C412yes—
633C22×D59C23×C412yes—
634C22×D59C23×C412yes—
635C22×D59C23×C412yes—
636C22×D59C23×C412yes—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59—21no—
665C2×C4×C59—21no—
666C2×C4×C59—21no—
667C2×C4×C59—21no—
668C2×C4×C59—21no—
669C2×C4×C59—21no—
670C2×C4×C59—21no—
671C2×C4×C59—44no—
672C2×C4×C59C23×C412yes—
673C2×C4×C59C23×C412yes—
674C2×C4×C59C23×C412yes—
675C2×C4×C59C23×C412yes—
676C2×C4×C59C23×C412yes—
677C2×C4×C59C23×C412yes—
678C2×C4×C59H(5,𝔽2)12yes—
679C2×C4×C59H(5,𝔽2)12yes—
680C22⋊D59—44no—
681C22⋊D59—44no—
682C22⋊D59—44no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—21no—
706C2×Dic59—21no—
707C2×Dic59—21no—
708C2×Dic59—21no—
709C2×Dic59—21no—
710C2×Dic59—21no—
711C2×Dic59—21no—
712C2×Dic59—44no—
713C2×Dic59C23×C412yes—
714C2×Dic59C23×C412yes—
715C2×Dic59C23×C412yes—
716C2×Dic59H(5,𝔽2)12yes—
717D236—44no—
718D236—44no—
719D236—44no—
720D236—44no—
721D236—44no—
722D236—44no—
723D236—44no—
724D236—44no—
725D236—44no—
726C4×D59—44no—
727C4×D59—44no—
728C4×D59—44no—
729C4×D59—44no—
730C4×D59—44no—
731C4×D59—44no—
732C4×D59—44no—
733C4×D59—82no—
734C4×D59—82no—
735C4×D59—82no—
736C4×D59—82no—
737C4×D59—82no—
738C4×D59—82no—
739#34511—591nomaximal, Sylow
740C22×C59—22no—
741C22×C59—22no—
742C22×C59—22no—
743C22×C59—41no—
744C22×C59—41no—
745C22×C59—41no—
746C22×C59—41no—
747C22×C59C24×C411yescharacteristic
748C22×C59C2×H(5,𝔽2)11yescharacteristic
749C22×C59C2×H(5,𝔽2)11yescharacteristic
750C22×C59C2×H(5,𝔽2)11yescharacteristic
751C22×C59#58511yescharacteristic
752C22×C59#58511yescharacteristic
753C22×C59#58511yescharacteristic
754C2×D59—22no—
755C2×D59—22no—
756C2×D59—22no—
757C2×D59—22no—
758C2×D59—22no—
759C2×D59—22no—
760C2×D59—22no—
761C2×D59—22no—
762C2×D59—22no—
763C2×D59—22no—
764C2×D59—22no—
765C2×D59—22no—
766C2×D59—22no—
767C2×D59—22no—
768C2×D59—22no—
769C2×D59—416no—
770C2×D59—41no—
771C2×D59—41no—
772C2×D59—41no—
773C2×D59—41no—
774C2×D59—41no—
775C2×D59—41no—
776C2×D59—41no—
777C2×D59—41no—
778C2×D59—41no—
779C2×D59—41no—
780C2×D59—41no—
781C2×D59—41no—
782C2×D59—41no—
783C2×D59—41no—
784C2×D59—41no—
785C2×D59—41no—
786C2×D59—41no—
787C2×D59—41no—
788C2×D59—41no—
789C2×D59—41no—
790C4×C59—22no—
791C4×C59—22no—
792C4×C59—22no—
793C4×C59—22no—
794C4×C59—22no—
795C4×C59—22no—
796C4×C59—22no—
797C4×C59—22no—
798C4×C59—41no—
799C4×C59—41no—
800C4×C59—41no—
801C4×C59—41no—
802C4×C59—41no—
803C4×C59—41no—
804Dic59—22no—
805Dic59—22no—
806Dic59—22no—
807Dic59—22no—
808Dic59—41no—
809Dic59—41no—
810Dic59—41no—
811Dic59—41no—
812Dic59—41no—
813Dic59—41no—
814Dic59—41no—
815C2×#560—591no—
816#2375—591no—
817#2375—591no—
818#2375—591no—
819#2374—591no—
820#2373—591no—
821#2373D5911yescharacteristic, complemented
822#2366—591no—
823#2364—591no—
824#2364—591no—
825#2363—591no—
826#2363—591no—
827#2361—591no—
828#2361—591no—
829#2359—591no—
830#2359—591no—
831#2335—591no—
832#2335—591no—
833#2334—591no—
834#2334—591no—
835#2333—591no—
836#2333—591no—
837#2328—591no—
838#2325—591no—
839#2325—591no—
840#2324—591no—
841#2324—591no—
842#2322—591no—
843C4×#120—591no—
844C4×#120—591no—
845C4×#120—591no—
846C2×C59—42no—
847C2×C59C4×H(5,𝔽2)11yescharacteristic
848C2×C59C4×H(5,𝔽2)11yescharacteristic
849C2×C59C4×H(5,𝔽2)11yescharacteristic
850C2×C59#353211yescharacteristic
851C2×C59#353911yescharacteristic
852C2×C59#353911yescharacteristic
853C2×C59#354011yescharacteristic
854D59—42no—
855D59—42no—
856D59—42no—
857D59—42no—
858D59—42no—
859C24×C4—591no—
860#560—5916no—
861C2×#127—591no—
862C2×#126—591no—
863C2×#126C2×D5911yescharacteristic
864C2×#123—591no—
865C2×#123—591no—
866C2×#123—591no—
867C2×#121—591no—
868C2×#121—591no—
869C2×#121—591no—
870C2×#121—591no—
871C2×#121—591no—
872C2×#121—591no—
873C2×#120—591no—
874C2×#120—591no—
875C2×#120—591no—
876C2×C4×D4—591no—
877C2×C4×D4—591no—
878C2×C4×D4—591no—
879C2×C4×D4—591no—
880C2×C4×D4—591no—
881C2×C4×D4—591no—
882C2×C4×D4—591no—
883C2×C4×D4—591no—
884C2×C4×D4—591no—
885C2×C4×D4—591no—
886C2×C4×D4—591no—
887C2×C4×D4—591no—
888C2×#117—591no—
889C2×#117—591no—
890C22×C4⋊C4—591no—
891#390—591no—
892#390—591no—
893#390—591no—
894#390—591no—
895#390—591no—
896#390—591no—
897#390—591no—
898#390—591no—
899#390—591no—
900#390—591no—
901#390—591no—
902#390—591no—
903#389—591no—
904#389—591no—
905#389—591no—
906#389—591no—
907#389—591no—
908#389C2×D5911yescharacteristic, complemented
909#388—591no—
910#388—591no—
911#388—591no—
912#388—591no—
913#388—591no—
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388C2×D5911yescharacteristic
931#388C2×D5911yescharacteristic
932#388C2×D5911yescharacteristic
933#387—591no—
934#387—591no—
935#387—591no—
936#387—591no—
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#387—591no—
942#387C2×D5911yescharacteristic, complemented
943#387C2×D5911yescharacteristic, complemented
944#387C2×D5911yescharacteristic, complemented
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386—591no—
959#386—591no—
960#386—591no—
961#386—591no—
962#386—591no—
963#386—591no—
964#386—591no—
965#386—591no—
966#386—591no—
967#386—591no—
968#386—591no—
969#385—591no—
970#385—591no—
971#385—591no—
972#385—591no—
973#385—591no—
974#385—591no—
975#385—591no—
976#385—591no—
977#385—591no—
978#385—591no—
979#385—591no—
980#385C2×D5911yescharacteristic
981#382—591no—
982#381—591no—
983#380—591no—
984#380—591no—
985#379—591no—
986#379—591no—
987#379—591no—
988C4×C4⋊C4—591no—
989C4×C4⋊C4—591no—
990C4×C4⋊C4—591no—
991C4×C4⋊C4—591no—
992C4×C4⋊C4—591no—
993C4×C4⋊C4C2×D5911yescharacteristic, complemented
994C4×C4⋊C4C2×D5911yescharacteristic, complemented
995C4×C4⋊C4C2×D5911yescharacteristic, complemented
996C4×C22⋊C4—591no—
997C4×C22⋊C4—591no—
998C4×C22⋊C4—591no—
999C4×C22⋊C4—591no—
1000C4×C22⋊C4—591no—
1001C4×C22⋊C4—591no—
1002C4×C22⋊C4—591no—
1003C4×C22⋊C4—591no—
1004C4×C22⋊C4—591no—
1005C4×C22⋊C4—591no—
1006C4×C22⋊C4—591no—
1007C4×C22⋊C4—591no—
1008C4×C22⋊C4—591no—
1009C4×C22⋊C4—591no—
1010C4×C22⋊C4C2×D5911yescharacteristic
1011C4×C22⋊C4C2×D5911yescharacteristic
1012#376C2×D5911yescharacteristic, complemented
1013C2×#95—591no—
1014C2×#95—591no—
1015C59#3451111yescharacteristic, complemented, Sylow
1016C25—591no—
1017C22×D4—591no—
1018C22×D4—591no—
1019C22×D4—591no—
1020C22×D4—591no—
1021C22×D4—591no—
1022C22×D4—591no—
1023C22×D4—591no—
1024C22×D4—591no—
1025C22×D4—591no—
1026C22×D4—591no—
1027C22×D4—591no—
1028C22×D4—591no—
1029C23×C4—591no—
1030C23×C4—591no—
1031C23×C4—591no—
1032C23×C4—591no—
1033C23×C4—591no—
1034C23×C4—591no—
1035C23×C4—591no—
1036C23×C4—591no—
1037C23×C4—591no—
1038C23×C4—591no—
1039C23×C4—591no—
1040C23×C4—591no—
1041C23×C4—591no—
1042C23×C4—591no—
1043C23×C4—2362no—
1044C23×C4—2362no—
1045C23×C4—2362no—
1046C23×C4C22×D5911yescharacteristic
1047#127—598no—
1048#126—598no—
1049#126C4×D5918yescomplemented
1050#123—598no—
1051#123—598no—
1052#123—598no—
1053#121—598no—
1054#121—598no—
1055#121—598no—
1056#121—598no—
1057#121—598no—
1058#121—598no—
1059#120—598no—
1060#120—598no—
1061#120—598no—
1062C4×D4—2362no—
1063C4×D4—2362no—
1064C4×D4—2362no—
1065C4×D4—2362no—
1066C4×D4—2362no—
1067C4×D4—2362no—
1068C4×D4—2362no—
1069C4×D4—2362no—
1070C4×D4—2362no—
1071C4×D4—2362no—
1072C4×D4—2362no—
1073C4×D4—2362no—
1074#117—2362no—
1075#117—2362no—
1076C2×C4⋊C4—591no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—591no—
1079C2×C4⋊C4—591no—
1080C2×C4⋊C4—591no—
1081C2×C4⋊C4—591no—
1082C2×C4⋊C4—591no—
1083C2×C4⋊C4—591no—
1084C2×C4⋊C4—591no—
1085C2×C4⋊C4—591no—
1086C2×C4⋊C4—591no—
1087C2×C4⋊C4—591no—
1088C2×C4⋊C4—591no—
1089C2×C4⋊C4—591no—
1090C2×C4⋊C4—591no—
1091C2×C4⋊C4—591no—
1092C2×C4⋊C4—2362no—
1093C2×C4⋊C4C22×D5911yescharacteristic
1094C2×C4⋊C4C22×D5911yescharacteristic
1095C2×C4⋊C4C22×D5911yescharacteristic
1096C2×C4⋊C4C22×D5911yescharacteristic
1097C2×C4⋊C4C22×D5911yescharacteristic
1098C2×C4⋊C4C22×D5911yescharacteristic
1099C2×C4⋊C4C22×D5911yescharacteristic
1100C2×C4⋊C4C22×D5911yescharacteristic
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—591no—
1126C2×C22⋊C4—591no—
1127C2×C22⋊C4—591no—
1128C2×C22⋊C4—591no—
1129C2×C22⋊C4—591no—
1130C2×C22⋊C4—591no—
1131C2×C22⋊C4—591no—
1132C2×C22⋊C4—591no—
1133C2×C22⋊C4—591no—
1134C2×C22⋊C4—591no—
1135C2×C22⋊C4—591no—
1136C2×C22⋊C4—591no—
1137C2×C22⋊C4—591no—
1138C2×C22⋊C4—591no—
1139C2×C22⋊C4—591no—
1140C2×C22⋊C4—591no—
1141C2×C22⋊C4—591no—
1142C2×C22⋊C4—591no—
1143C2×C22⋊C4C22×D5911yescharacteristic
1144C2×C22⋊C4C22×D5911yescharacteristic
1145C2×C22⋊C4C22×D5911yescharacteristic
1146C2×C22⋊C4C22×D5911yescharacteristic
1147C2×C22⋊C4C22×D5911yescharacteristic
1148C2×C22⋊C4C22×D5911yescharacteristic
1149C2×C42—591no—
1150C2×C42—591no—
1151C2×C42—591no—
1152C2×C42—591no—
1153C2×C42—591no—
1154C2×C42—591no—
1155C2×C42—591no—
1156C2×C42—591no—
1157C2×C42—591no—
1158C2×C42—591no—
1159C2×C42—591no—
1160C2×C42C22×D5911yescharacteristic
1161C2×C42C22×D5911yescharacteristic
1162C2×C42C22×D5911yescharacteristic
1163C2×C42C22×D5911yescharacteristic
1164C2×C42C22×D5911yescharacteristic
1165C2×C42C22×D5911yescharacteristic
1166C2×C42C22×D5911yescharacteristic
1167C2×C42C22×D5911yescharacteristic
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—591no—
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95—591no—
1187#95—591no—
1188#95—591no—
1189#95—591no—
1190#95—591no—
1191#95—591no—
1192#95C22×D5911yescharacteristic
1193#95C22×D5911yescharacteristic
1194#95C22×D5911yescharacteristic
1195#95C22×D5911yescharacteristic
1196#95C22×D5911yescharacteristic
1197#95C22×D5911yescharacteristic
1198#95C22×D5911yescharacteristic
1199#95C22×D5911yescharacteristic
1200#95C22×D5911yescharacteristic
1201#95C22×D5911yescharacteristic
1202#95C22×D5911yescharacteristic
1203#95C22×D5911yescharacteristic
1204C24—591no—
1205C24—591no—
1206C24—591no—
1207C24—591no—
1208C24—591no—
1209C24—594no—
1210C24—2361no—
1211C24—2361no—
1212C24—2361no—
1213C24—2361no—
1214C24—2361no—
1215C24—2361no—
1216C24C23×D5911yescharacteristic
1217C2×D4—594no—
1218C2×D4—594no—
1219C2×D4—594no—
1220C2×D4—594no—
1221C2×D4—594no—
1222C2×D4—594no—
1223C2×D4—594no—
1224C2×D4—594no—
1225C2×D4—594no—
1226C2×D4—594no—
1227C2×D4—594no—
1228C2×D4—594no—
1229C2×D4—2361no—
1230C2×D4—2361no—
1231C2×D4—2361no—
1232C2×D4—2361no—
1233C2×D4—2361no—
1234C2×D4—2361no—
1235C2×D4—2361no—
1236C2×D4—2361no—
1237C2×D4—2361no—
1238C2×D4—2361no—
1239C2×D4—2361no—
1240C2×D4—2361no—
1241C2×D4—2361no—
1242C2×D4—2361no—
1243C2×D4—2361no—
1244C2×D4—2361no—
1245C2×D4—2361no—
1246C2×D4—2361no—
1247C2×D4—2361no—
1248C2×D4—2361no—
1249C2×D4—2361no—
1250C2×D4—2361no—
1251C2×D4—2361no—
1252C2×D4—2361no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—41no—
1256C22×C4—591no—
1257C22×C4—591no—
1258C22×C4—591no—
1259C22×C4—591no—
1260C22×C4—594no—
1261C22×C4—594no—
1262C22×C4—594no—
1263C22×C4—591no—
1264C22×C4—591no—
1265C22×C4—591no—
1266C22×C4—591no—
1267C22×C4—591no—
1268C22×C4—591no—
1269C22×C4—591no—
1270C22×C4—1182no—
1271C22×C4—1182no—
1272C22×C4—1182no—
1273C22×C4—1182no—
1274C22×C4—1182no—
1275C22×C4—1182no—
1276C22×C4—1182no—
1277C22×C4—1182no—
1278C22×C4—1182no—
1279C22×C4—1182no—
1280C22×C4—2361no—
1281C22×C4—2361no—
1282C22×C4—2361no—
1283C22×C4—2361no—
1284C22×C4—2361no—
1285C22×C4—2361no—
1286C22×C4—2361no—
1287C22×C4—2361no—
1288C22×C4—2361no—
1289C22×C4—2361no—
1290C22×C4—2361no—
1291C22×C4—2361no—
1292C22×C4—2361no—
1293C22×C4—2361no—
1294C22×C4—2361no—
1295C22×C4—2361no—
1296C22×C4—2361no—
1297C22×C4—2361no—
1298C22×C4—2361no—
1299C22×C4—2361no—
1300C22×C4—2361no—
1301C22×C4—2361no—
1302C22×C4—2361no—
1303C22×C4—2361no—
1304C22×C4—2361no—
1305C22×C4—2361no—
1306C22×C4—2361no—
1307C22×C4—23616no—
1308C22×C4—2361no—
1309C22×C4—2361no—
1310C22×C4C23×D5911yescharacteristic
1311C22×C4C23×D5911yescharacteristic
1312C22×C4C23×D5911yescharacteristic
1313C22×C4C23×D5911yescharacteristic
1314C22×C4C23×D5911yescharacteristic
1315C22×C4C23×D5911yescharacteristic
1316C22×C4C23×D5911yescharacteristic
1317C22×C4C23×D5911yescharacteristic
1318C22×C4C23×D5911yescharacteristic
1319C22×C4C23×D5911yescharacteristic
1320C22×C4C23×D5911yescharacteristic
1321C22×C4C23×D5911yescharacteristic
1322C22×C4C23×D5911yescharacteristic
1323C22×C4C23×D5911yescharacteristic
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—41no—
1327C4⋊C4—41no—
1328C4⋊C4—41no—
1329C4⋊C4—594no—
1330C4⋊C4—594no—
1331C4⋊C4—594no—
1332C4⋊C4—1182no—
1333C4⋊C4—1182no—
1334C4⋊C4—1182no—
1335C4⋊C4—1182no—
1336C4⋊C4—2361no—
1337C4⋊C4—2361no—
1338C4⋊C4—2361no—
1339C4⋊C4—2361no—
1340C4⋊C4—2361no—
1341C4⋊C4—2361no—
1342C4⋊C4—2361no—
1343C4⋊C4—2361no—
1344C4⋊C4—2361no—
1345C4⋊C4C2×C4×D5914yescomplemented
1346C4⋊C4C2×C4×D5914yescomplemented
1347C4⋊C4C2×C4×D5914yescomplemented
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—594no—
1352C22⋊C4—594no—
1353C22⋊C4—594no—
1354C22⋊C4—594no—
1355C22⋊C4—594no—
1356C22⋊C4—594no—
1357C22⋊C4—594no—
1358C22⋊C4—594no—
1359C22⋊C4—594no—
1360C22⋊C4—1182no—
1361C22⋊C4—1182no—
1362C22⋊C4—1182no—
1363C22⋊C4—1182no—
1364C22⋊C4—1182no—
1365C22⋊C4—1182no—
1366C22⋊C4—2361no—
1367C22⋊C4—2361no—
1368C22⋊C4—2361no—
1369C22⋊C4—2361no—
1370C22⋊C4—2361no—
1371C22⋊C4—2361no—
1372C22⋊C4—2361no—
1373C22⋊C4—2361no—
1374C22⋊C4—2361no—
1375C22⋊C4—2361no—
1376C22⋊C4—2361no—
1377C22⋊C4—2361no—
1378C22⋊C4—2361no—
1379C22⋊C4—2361no—
1380C22⋊C4—2361no—
1381C22⋊C4—2361no—
1382C22⋊C4—2361no—
1383C22⋊C4—2361no—
1384C22⋊C4—2361no—
1385C22⋊C4—2361no—
1386C22⋊C4—2361no—
1387C22⋊C4—2361no—
1388C22⋊C4—2361no—
1389C22⋊C4—2361no—
1390C22⋊C4—2361no—
1391C22⋊C4—2361no—
1392C22⋊C4—2361no—
1393C22⋊C4C2×C4×D5914yes—
1394C22⋊C4C2×C4×D5914yes—
1395C22⋊C4C2×C4×D5914yes—
1396C42—22no—
1397C42—22no—
1398C42—41no—
1399C42—41no—
1400C42—41no—
1401C42—41no—
1402C42—41no—
1403C42—1182no—
1404C42—2361no—
1405C42—2361no—
1406C42—2361no—
1407C42—2361no—
1408C42—2361no—
1409C42—2361no—
1410C42—2361no—
1411C42—2361no—
1412C42—2361no—
1413C42—2361no—
1414C42C2×C4×D5914yescomplemented
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—592no—
1422C23—592no—
1423C23—592no—
1424C23—592no—
1425C23—592no—
1426C23—1181no—
1427C23—1181no—
1428C23—1181no—
1429C23—1181no—
1430C23—1181no—
1431C23—1181no—
1432C23—1181no—
1433C23—1181no—
1434C23—1181no—
1435C23—1181no—
1436C23—1181no—
1437C23—1181no—
1438C23—1181no—
1439C23—1181no—
1440C23—1181no—
1441C23—1181no—
1442C23—1181no—
1443C23—1181no—
1444C23—1181no—
1445C23—1181no—
1446C23—1181no—
1447C23—1181no—
1448C23—1181no—
1449C23—1181no—
1450C23—1181no—
1451C23—1181no—
1452C23—1181no—
1453C23—1181no—
1454C23—1181no—
1455C23—1181no—
1456C23—2364no—
1457C23—2364no—
1458C23—2364no—
1459C23—2364no—
1460C23—2364no—
1461C23—2364no—
1462C23—2364no—
1463C23C22×C4×D5912yes—
1464C23C24×D5911yescharacteristic
1465D4—2364no—
1466D4—2364no—
1467D4—2364no—
1468D4—2364no—
1469D4—2364no—
1470D4—2364no—
1471D4—2364no—
1472D4—2364no—
1473D4—2364no—
1474D4—2364no—
1475D4—2364no—
1476D4—2364no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—44no—
1512C2×C4—592no—
1513C2×C4—592no—
1514C2×C4—592no—
1515C2×C4—592no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—1181no—
1526C2×C4—1181no—
1527C2×C4—1181no—
1528C2×C4—1181no—
1529C2×C4—1181no—
1530C2×C4—1181no—
1531C2×C4—1181no—
1532C2×C4—1181no—
1533C2×C4—1181no—
1534C2×C4—1181no—
1535C2×C4—1181no—
1536C2×C4—1181no—
1537C2×C4—1181no—
1538C2×C4—1181no—
1539C2×C4—1181no—
1540C2×C4—1181no—
1541C2×C4—1181no—
1542C2×C4—1181no—
1543C2×C4—1181no—
1544C2×C4—1181no—
1545C2×C4—4722no—
1546C2×C4—4722no—
1547C2×C4—4722no—
1548C2×C4—4722no—
1549C2×C4—4722no—
1550C2×C4—4722no—
1551C2×C4—2364no—
1552C2×C4—2364no—
1553C2×C4—2364no—
1554C2×C4—2364no—
1555C2×C4—2364no—
1556C2×C4—2364no—
1557C2×C4—2364no—
1558C2×C4—2364no—
1559C2×C4C22×C4×D5912yes—
1560C2×C4C22×C4×D5912yes—
1561C2×C4C22×C4×D5912yes—
1562C2×C4C22×C4×D5912yes—
1563C2×C4C22×C4×D5912yes—
1564C2×C4C22×C4×D5912yes—
1565C2×C4#1427377312yes—
1566C2×C4#1427377312yes—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—1182no—
1575C22—1182no—
1576C22—1182no—
1577C22—1182no—
1578C22—1182no—
1579C22—1182no—
1580C22—1182no—
1581C22—1182no—
1582C22—1182no—
1583C22—1182no—
1584C22—1182no—
1585C22—1182no—
1586C22—1182no—
1587C22—1182no—
1588C22—1182no—
1589C22—23616no—
1590C22—2361no—
1591C22—2361no—
1592C22—2361no—
1593C22—2361no—
1594C22—2361no—
1595C22—2361no—
1596C22—2361no—
1597C22—2361no—
1598C22—2361no—
1599C22—2361no—
1600C22—2361no—
1601C22—2361no—
1602C22—2361no—
1603C22—2361no—
1604C22—2361no—
1605C22—2361no—
1606C22—2361no—
1607C22—2361no—
1608C22—2361no—
1609C22—2361no—
1610C22C23×C4×D5911yescharacteristic
1611C22H(5,𝔽2)×D5911yescharacteristic
1612C22C2×#1427377311yescharacteristic
1613C22C2×#1427377311yescharacteristic
1614C22#1683823811yescharacteristic
1615C22#1683823811yescharacteristic
1616C22#1683823911yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—22no—
1623C4—22no—
1624C4—22no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—41no—
1631C4—1182no—
1632C4—1182no—
1633C4—1182no—
1634C4—1182no—
1635C4—2361no—
1636C4—2361no—
1637C4—2361no—
1638C4—2361no—
1639C4—2361no—
1640C4—2361no—
1641C4—2361no—
1642C2—42no—
1643C2—2362no—
1644C2—2362no—
1645C2—2362no—
1646C2—2362no—
1647C2—2362no—
1648C2#2143730211yescharacteristic
1649C2C4×#1427377311yescharacteristic
1650C2C4×#1427377311yescharacteristic
1651C2#2143825211yescharacteristic
1652C2#2143834611yescharacteristic
1653C2#2143835711yescharacteristic
1654C2#2143837211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2373C2
socle, cosocleC23×C59C25
prime radicalC2×#16838143C2
hypercenter#2373D59
hypocenterC59#34511
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2373

Complements

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

NH ≅ G/Ntype
2. #21427236C2semidirect
3. #21427236C2semidirect
4. #21427236C2semidirect
5. #21427225C2semidirect
6. #21427216C2semidirect
7. #21427160C2semidirect
8. #21427147C2semidirect
9. #21427142C2semidirect
10. #21427135C2semidirect
11. #21427133C2semidirect
12. #21427115C2semidirect
13. #21427114C2semidirect
14. #21427095C2semidirect
15. #21427081C2semidirect
16. #21426889C2semidirect
17. #21426880C2semidirect
18. #21426875C2semidirect
19. #21426871C2semidirect
20. #21426860C2semidirect
21. #21426859C2semidirect
22. #21426821C2semidirect
23. #21426800C2semidirect
24. #21426795C2semidirect
25. #21426790C2semidirect
26. #21426784C2semidirect
27. #21426769C2semidirect
28. C4×#14273697C2semidirect
29. C4×#14273697C2semidirect
30. #21426597C2semidirect
31. C59×#2373C2semidirect
33. #16838143C4semidirect
52. C2×C4×D236C22semidirect
53. C2×C4×D236C22semidirect
56. C2×#14273689C22semidirect
60. C2×#14273685C22semidirect
61. C2×#14273684C22semidirect
62. C2×C4⋊C4×D59C22semidirect
66. #16837304C22semidirect
67. #16837304C22semidirect
71. #16837303C22semidirect
75. #16837301C22semidirect
76. #16837301C22semidirect
77. #16837299C22semidirect
78. #16837299C22semidirect
79. #16837297C22semidirect
89. #16837293C22semidirect
90. #16837293C22semidirect
91. #16837293C22semidirect
95. #16837292C22semidirect
96. #16837292C22semidirect
97. #16837292C22semidirect
101. #16837289C22semidirect
102. #16837289C22semidirect
103. #16837288C22semidirect
104. #16837288C22semidirect
105. #16837288C22semidirect
106. #16837286C22semidirect
107. #16837286C22semidirect
108. #16837284C22semidirect
109. #16837283C22semidirect
123. #16837280C22semidirect
124. #16837280C22semidirect
125. #16837280C22semidirect
126. #16837280C22semidirect
127. #16837280C22semidirect
128. #16837280C22semidirect
140. #16837276C22semidirect
141. #16837276C22semidirect
142. #16837276C22semidirect
145. #16837268C22semidirect
146. #16837264C22semidirect
147. #16837261C22semidirect
148. #16837259C22semidirect
152. C4⋊C4×Dic59C22semidirect
153. C4×Dic59⋊C4C22semidirect
154. C4×Dic59⋊C4C22semidirect
155. C4×C4⋊Dic59C22semidirect
156. #16837253C22semidirect
162. C4×(C2×D59)⋊C4C22semidirect
163. C4×(C2×D59)⋊C4C22semidirect
166. #16837249C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #95×D59C22semidirect
172. #95×D59C22semidirect
174. C59×#389C22semidirect
178. C59×#387C22semidirect
179. C59×#387C22semidirect
180. C59×#387C22semidirect
182. C4×C4⋊C4×C59C22semidirect
183. C4×C4⋊C4×C59C22semidirect
184. C4×C4⋊C4×C59C22semidirect
187. C59×#376C22semidirect
218. #14273724C2×C4semidirect
219. #14273721C2×C4semidirect
220. #14273712C2×C4semidirect
221. #14273712C2×C4semidirect
222. #14273712C2×C4semidirect
223. #14273702C2×C4semidirect
224. #14273702C2×C4semidirect
225. #14273702C2×C4semidirect
226. #14273700C2×C4semidirect
227. #14273700C2×C4semidirect
228. #14273700C2×C4semidirect
229. #14273697C2×C4semidirect
230. #14273697C2×C4semidirect
231. #14273697C2×C4semidirect
341. #126×C59C2×C4semidirect
453. C2×D236C22×C4semidirect
454. C2×D236C22×C4semidirect
455. C2×D236C22×C4semidirect
493. C2×C4×D59C22×C4semidirect
494. C2×C4×D59C22×C4semidirect
495. C2×C4×D59C22×C4semidirect
501. C4⋊C4×C59C22×C4semidirect
502. C4⋊C4×C59C22×C4semidirect
503. C4⋊C4×C59C22×C4semidirect
517. C42×C59C22×C4semidirect
557. (C2×D59)⋊C4C22×C4semidirect
558. (C2×D59)⋊C4C22×C4semidirect
559. (C2×D59)⋊C4C22×C4semidirect
573. Dic59⋊C4C22×C4semidirect
574. Dic59⋊C4C22×C4semidirect
575. Dic59⋊C4C22×C4semidirect
821. #2373D59semidirect
908. #389C2×D59semidirect
942. #387C2×D59semidirect
943. #387C2×D59semidirect
944. #387C2×D59semidirect
993. C4×C4⋊C4C2×D59semidirect
994. C4×C4⋊C4C2×D59semidirect
995. C4×C4⋊C4C2×D59semidirect
1012. #376C2×D59semidirect
1015. C59#34511semidirect
1049. #126C4×D59semidirect
1345. C4⋊C4C2×C4×D59semidirect
1346. C4⋊C4C2×C4×D59semidirect
1347. C4⋊C4C2×C4×D59semidirect
1414. C42C2×C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168381432
#214272362
#214272252
#214272162
#214271602
#214271472
#214271422
#214271352
#214271332
#214271152
#214271142
#214270952
#214270812
#214268892
#214268802
#214268752
#214268712
#214268602
#214268592
#214268212
#214268002
#214267952
#214267902
#214267842
#214267692
C4×#142736972
#214265972
C59×#23732
#3451159