Finite Group Databasebeta

← #29451795

Subgroups — #29451795

Order 15104.

2288 conjugacy classes of subgroups.

The subgroup lattice has 1704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21431303C211yesmaximal, characteristic, complemented
2#21430740C211yesmaximal, characteristic, complemented
3#21430736C211yesmaximal, characteristic, complemented
4#21430307C211yesmaximal, characteristic, complemented
5#21429706C211yesmaximal, characteristic, complemented
6#21429703C211yesmaximal, characteristic, complemented
7#21429553C211yesmaximal, characteristic, complemented
8#21429540C211yesmaximal, characteristic, complemented
9#21429198C211yesmaximal, characteristic, complemented
10#21429191C211yesmaximal, characteristic, complemented
11#21429026C211yesmaximal, characteristic, complemented
12#21429023C211yesmaximal, characteristic, complemented
13#21428736C211yesmaximal, characteristic, complemented
14#21428728C211yesmaximal, characteristic, complemented
15#21428201C211yesmaximal, characteristic, complemented
16#21428108C211yesmaximal, characteristic, complemented
17#21428100C211yesmaximal, characteristic, complemented
18#21427991C211yesmaximal, characteristic, complemented
19#21427981C211yesmaximal, characteristic, complemented
20#21427713C211yesmaximal, characteristic, complemented
21#21427413C211yesmaximal, characteristic, complemented
22#21427228C211yesmaximal, characteristic, complemented
23#21427227C211yesmaximal, characteristic, complemented
24#21427157C211yesmaximal, characteristic, complemented
25#21427078C211yesmaximal, characteristic, complemented
26#21427077C211yesmaximal, characteristic, complemented
27#21427076C211yesmaximal, characteristic, complemented
28#21426606C211yesmaximal, characteristic, complemented
29#21426606C211yesmaximal, characteristic, complemented
30#21426584C211yesmaximal, characteristic, complemented
31C59×#2471C211yesmaximal, characteristic, complemented
32C22×#11745685C2211yescharacteristic
33C2×#14273723C2211yescharacteristic
34C2×#14273713C2211yescharacteristic, complemented
35C2×#14273712C2211yescharacteristic
36C2×#14273712C2211yescharacteristic
37C2×#14273712C2211yescharacteristic, complemented
38C2×#14273711C2211yescharacteristic, complemented
39C2×#14273710C2211yescharacteristic
40C2×#14273702C2211yescharacteristic
41C2×#14273700C2211yescharacteristic, complemented
42C2×#14273699C2211yescharacteristic
43C2×#14273699C2211yescharacteristic
44C2×#14273699C2211yescharacteristic
45C2×#14273697C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×#14273695C2211yescharacteristic
48C2×#14273695C2211yescharacteristic
49C2×C4×D236C2211yescharacteristic
50C2×D4×Dic59C2211yescharacteristic
51C2×D4×Dic59C2211yescharacteristic, complemented
52C2×(C22⋊D59)⋊C4C2211yescharacteristic
53C2×(C22⋊D59)⋊C4C2211yescharacteristic
54C2×(C22⋊D59)⋊C4C2211yescharacteristic
55C2×(C22⋊D59)⋊C4C2211yescharacteristic
56C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
57C22×(C2×D59)⋊C4C2211yescharacteristic
58C2×C22⋊C4×D59C2211yescharacteristic
59C2×C22⋊C4×D59C2211yescharacteristic
60C22×C4×Dic59C2211yescharacteristic, complemented
61#16837343C2211yescharacteristic, complemented
62#16837340C2211yescharacteristic, complemented
63#16837337C2211yescharacteristic
64#16837337C2211yescharacteristic
65#16837337C2211yescharacteristic
66#16837333C2211yescharacteristic, complemented
67#16837332C2211yescharacteristic, complemented
68#16837331C2211yescharacteristic, complemented
69#16837330C2211yescharacteristic, complemented
70#16837328C2211yescharacteristic, complemented
71#16837325C2211yescharacteristic, complemented
72#16837320C2211yescharacteristic
73#16837320C2211yescharacteristic, complemented
74#16837317C2211yescharacteristic
75#16837317C2211yescharacteristic, complemented
76#16837315C2211yescharacteristic
77#16837314C2211yescharacteristic
78#16837312C2211yescharacteristic
79#16837311C2211yescharacteristic
80#16837311C2211yescharacteristic
81#16837311C2211yescharacteristic
82#16837311C2211yescharacteristic
83#16837311C2211yescharacteristic
84#16837311C2211yescharacteristic
85#16837311C2211yescharacteristic, complemented
86#16837310C2211yescharacteristic
87#16837310C2211yescharacteristic
88#16837310C2211yescharacteristic, complemented
89#16837307C2211yescharacteristic, complemented
90#16837307C2211yescharacteristic, complemented
91#16837306C2211yescharacteristic, complemented
92#16837304C2211yescharacteristic
93#16837303C2211yescharacteristic
94#16837303C2211yescharacteristic
95#16837303C2211yescharacteristic
96#16837303C2211yescharacteristic
97#16837302C2211yescharacteristic
98#16837302C2211yescharacteristic
99#16837302C2211yescharacteristic
100#16837302C2211yescharacteristic
101#16837302C2211yescharacteristic
102#16837302C2211yescharacteristic, complemented
103#16837299C2211yescharacteristic, complemented
104#16837299C2211yescharacteristic, complemented
105#16837296C2211yescharacteristic
106#16837294C2211yescharacteristic
107#16837294C2211yescharacteristic
108#16837294C2211yescharacteristic, complemented
109#16837294C2211yescharacteristic, complemented
110#16837293C2211yescharacteristic
111#16837293C2211yescharacteristic, complemented
112#16837293C2211yescharacteristic, complemented
113#16837292C2211yescharacteristic, complemented
114#16837291C2211yescharacteristic
115#16837291C2211yescharacteristic
116#16837291C2211yescharacteristic, complemented
117#16837291C2211yescharacteristic, complemented
118#16837290C2211yescharacteristic
119#16837290C2211yescharacteristic
120#16837290C2211yescharacteristic, complemented
121#16837290C2211yescharacteristic, complemented
122#16837288C2211yescharacteristic, complemented
123#16837286C2211yescharacteristic, complemented
124#16837285C2211yescharacteristic, complemented
125#16837284C2211yescharacteristic, complemented
126#16837283C2211yescharacteristic, complemented
127#16837283C2211yescharacteristic, complemented
128#16837282C2211yescharacteristic
129#16837281C2211yescharacteristic
130#16837281C2211yescharacteristic
131#16837281C2211yescharacteristic, complemented
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837279C2211yescharacteristic
137#16837279C2211yescharacteristic
138#16837279C2211yescharacteristic, complemented
139#16837279C2211yescharacteristic, complemented
140#16837279C2211yescharacteristic, complemented
141#16837278C2211yescharacteristic
142#16837278C2211yescharacteristic
143#16837278C2211yescharacteristic
144#16837278C2211yescharacteristic
145#16837278C2211yescharacteristic
146#16837278C2211yescharacteristic, complemented
147#16837277C2211yescharacteristic
148#16837276C2211yescharacteristic
149#16837276C2211yescharacteristic
150#16837274C2211yescharacteristic
151#16837273C2211yescharacteristic
152#16837273C2211yescharacteristic
153#16837264C2211yescharacteristic
154#16837260C2211yescharacteristic, complemented
155#16837260C2211yescharacteristic, complemented
156C4⋊C4×Dic59C2211yescharacteristic, complemented
157C4×Dic59⋊C4C2211yescharacteristic, complemented
158#16837253C2211yescharacteristic, complemented
159#16837253C2211yescharacteristic, complemented
160C22⋊C4×Dic59C2211yescharacteristic
161C22⋊C4×Dic59C2211yescharacteristic, complemented
162C4×(C2×D59)⋊C4C2211yescharacteristic
163C4×(C2×D59)⋊C4C2211yescharacteristic
164C4×(C2×D59)⋊C4C2211yescharacteristic
165C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
167C4×C22⋊Dic59C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172C2×#123×C59C2211yescharacteristic
173C2×#117×C59C2211yescharacteristic, complemented
174C59×#399C2211yescharacteristic
175C59×#397C2211yescharacteristic, complemented
176C59×#396C2211yescharacteristic, complemented
177C59×#392C2211yescharacteristic
178C59×#390C2211yescharacteristic
179C59×#390C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#387C2211yescharacteristic, complemented
182C59×#387C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C2×#11745685—24no—
189C2×#11745685—42no—
190C2×#11745685—42no—
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C22×C22⋊D59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C23×Dic59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217#14273723—24no—
218#14273713—42no—
219#14273712—24no—
220#14273712—42no—
221#14273712—42no—
222#14273711—42no—
223#14273710—24no—
224#14273702—42no—
225#14273700—42no—
226#14273699—24no—
227#14273699—24no—
228#14273699—42no—
229#14273697—24no—
230#14273697—42no—
231#14273695—24no—
232#14273695—24no—
233C4×D236—42no—
234D4×Dic59—42no—
235D4×Dic59—42no—
236(C22⋊D59)⋊C4—42no—
237(C22⋊D59)⋊C4—42no—
238(C22⋊D59)⋊C4—42no—
239(C22⋊D59)⋊C4—42no—
240(C22⋊D59)⋊C4—42no—
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×(C2×D59)⋊C4—42no—
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
298C22⋊C4×D59—42no—
299C22⋊C4×D59—42no—
300C2×C4×Dic59—42no—
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C22×D4×C59C2311yescharacteristic
339C22×D4×C59C2311yescharacteristic
340C22×D4×C59C2311yescharacteristic
341C23×C4×C59C2311yescharacteristic
342C23×C4×C59C2311yescharacteristic
343#123×C59—42no—
344#117×C59—42no—
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C4⋊C4×C59C2311yescharacteristic
347C2×C4⋊C4×C59C2311yescharacteristic
348C2×C4⋊C4×C59C2311yescharacteristic
349C2×C4⋊C4×C59C2311yescharacteristic
350C2×C4⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C22⋊C4×C59C2311yescharacteristic
355C2×C22⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C42×C59C2311yescharacteristic
365C2×C42×C59C2311yescharacteristic
366C2×C42×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
375C24×C59C2411yescharacteristic
376C24×C59C2411yescharacteristic
377C24×C59C2411yescharacteristic
378C23×D59—22no—
379C23×D59—22no—
380C23×D59—22no—
381C23×D59—41no—
382C23×D59—41no—
383C23×D59—41no—
384C23×D59—41no—
385C23×D59C2411yescharacteristic
386C23×D59C2411yescharacteristic
387C23×D59C2411yescharacteristic
388C23×D59C2411yescharacteristic
389C2×D4×C59—22no—
390C2×D4×C59—22no—
391C2×D4×C59—22no—
392C2×D4×C59—22no—
393C2×D4×C59—22no—
394C2×D4×C59—41no—
395C2×D4×C59—41no—
396C2×D4×C59—41no—
397C2×D4×C59—41no—
398C22×C4×C59—22no—
399C22×C4×C59—22no—
400C22×C4×C59—22no—
401C22×C4×C59—22no—
402C22×C4×C59—41no—
403C22×C4×C59—41no—
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C2×C22⋊D59—22no—
417C2×C22⋊D59—22no—
418C2×C22⋊D59—22no—
419C2×C22⋊D59—22no—
420C2×C22⋊D59—22no—
421C2×C22⋊D59—22no—
422C2×C22⋊D59—22no—
423C2×C22⋊D59—22no—
424C2×C22⋊D59—22no—
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—41no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C2×C22⋊D59—41no—
434C2×C22⋊D59—41no—
435C2×C22⋊D59—41no—
436C2×C22⋊D59—41no—
437C2×C22⋊D59—41no—
438C2×C22⋊D59—41no—
439C2×C22⋊D59—41no—
440C2×C22⋊D59—41no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59#4114yes—
446C22×Dic59—22no—
447C22×Dic59—22no—
448C22×Dic59—22no—
449C22×Dic59—22no—
450C22×Dic59—22no—
451C22×Dic59—22no—
452C22×Dic59—41no—
453C22×Dic59—41no—
454C22×Dic59—41no—
455C22×Dic59—41no—
456C22×Dic59—41no—
457C22×Dic59—41no—
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470#11745685—416no—
471C2×D236—22no—
472C2×D236—22no—
473C2×D236—22no—
474C2×D236—22no—
475C2×D236—22no—
476C2×D236—22no—
477C2×D236—41no—
478C2×D236—41no—
479C2×D236—41no—
480C2×D236—41no—
481C2×D236—41no—
482C2×D236—41no—
483C2×D236—41no—
484C2×D236—41no—
485C2×D236—41no—
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—41no—
494C2×C4×D59—41no—
495C2×C4×D59—41no—
496C2×C4×D59—41no—
497C2×C4×D59—41no—
498C2×C4×D59—41no—
499C2×C4×D59—41no—
500C2×C4×D59—41no—
501C2×C4×D59—41no—
502C2×C4×D59—41no—
503C2×C4×D59—41no—
504C2×Dic118—22no—
505C2×Dic118—22no—
506C2×Dic118—41no—
507C4⋊C4×C59—22no—
508C4⋊C4×C59—22no—
509C4⋊C4×C59—22no—
510C4⋊C4×C59—41no—
511C4⋊C4×C59—41no—
512C4⋊C4×C59—41no—
513C22⋊C4×C59—22no—
514C22⋊C4×C59—22no—
515C22⋊C4×C59—22no—
516C22⋊C4×C59—22no—
517C22⋊C4×C59—22no—
518C22⋊C4×C59—41no—
519C22⋊C4×C59—41no—
520C22⋊C4×C59—41no—
521C22⋊C4×C59—41no—
522C22⋊C4×C59—41no—
523C22⋊C4×C59—41no—
524C22⋊C4×C59—41no—
525C22⋊C4×C59—41no—
526C42×C59—41no—
527C42×C59—41no—
528C42×C59—41no—
529C22⋊Dic59—22no—
530C22⋊Dic59—22no—
531C22⋊Dic59—22no—
532C22⋊Dic59—22no—
533C22⋊Dic59—41no—
534C22⋊Dic59—41no—
535C22⋊Dic59—41no—
536C22⋊Dic59—41no—
537C22⋊Dic59#4114yescomplemented
538(C2×D59)⋊C4—22no—
539(C2×D59)⋊C4—22no—
540(C2×D59)⋊C4—22no—
541(C2×D59)⋊C4—22no—
542(C2×D59)⋊C4—22no—
543(C2×D59)⋊C4—22no—
544(C2×D59)⋊C4—22no—
545(C2×D59)⋊C4—22no—
546(C2×D59)⋊C4—22no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—22no—
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—41no—
559(C2×D59)⋊C4—41no—
560(C2×D59)⋊C4—41no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563(C2×D59)⋊C4—41no—
564(C2×D59)⋊C4—41no—
565(C2×D59)⋊C4—41no—
566(C2×D59)⋊C4—41no—
567(C2×D59)⋊C4—41no—
568(C2×D59)⋊C4—41no—
569(C2×D59)⋊C4#4114yescomplemented
570C4⋊Dic59—22no—
571C4⋊Dic59—22no—
572C4⋊Dic59—41no—
573Dic59⋊C4—22no—
574Dic59⋊C4—22no—
575Dic59⋊C4—22no—
576Dic59⋊C4—22no—
577Dic59⋊C4—22no—
578Dic59⋊C4—22no—
579Dic59⋊C4—22no—
580Dic59⋊C4—41no—
581Dic59⋊C4—41no—
582Dic59⋊C4—41no—
583Dic59⋊C4—41no—
584Dic59⋊C4—41no—
585C4×Dic59—22no—
586C4×Dic59—22no—
587C4×Dic59—22no—
588C4×Dic59—41no—
589C4×Dic59—41no—
590C4×Dic59—41no—
591C4×Dic59—41no—
592C4×Dic59—41no—
593C4×Dic59—41no—
594C4×Dic59—41no—
595C4×Dic59—41no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59—21no—
600C23×C59—21no—
601C23×C59—21no—
602C23×C59—21no—
603C23×C59—21no—
604C23×C59—21no—
605C23×C59—21no—
606C23×C59—21no—
607C23×C59—21no—
608C23×C59—21no—
609C23×C59—21no—
610C23×C59—21no—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59C2×#4112yes—
616C23×C59C2×#4112yes—
617C23×C59C2511yescharacteristic
618C22×D59—21no—
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—21no—
624C22×D59—21no—
625C22×D59—21no—
626C22×D59—21no—
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—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—44no—
645C22×D59—44no—
646C22×D59—44no—
647C22×D59—82no—
648C22×D59—82no—
649C22×D59—82no—
650C22×D59—82no—
651C22×D59C2×#4112yes—
652C22×D59C2×#4112yes—
653D4×C59—44no—
654D4×C59—44no—
655D4×C59—82no—
656C2×C4×C59—28no—
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—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—82no—
691C2×C4×C59C2×#4112yes—
692C2×C4×C59H(5,𝔽2)12yes—
693C2×C4×C59H(5,𝔽2)12yes—
694C22⋊D59—44no—
695C22⋊D59—44no—
696C22⋊D59—44no—
697C22⋊D59—44no—
698C22⋊D59—44no—
699C22⋊D59—44no—
700C22⋊D59—44no—
701C22⋊D59—82no—
702C22⋊D59—82no—
703C22⋊D59—82no—
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—21no—
713C2×Dic59—21no—
714C2×Dic59—21no—
715C2×Dic59—21no—
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—44no—
735C2×Dic59—44no—
736C2×Dic59—82no—
737C2×Dic59—82no—
738C2×Dic59C2×#4112yes—
739C2×Dic59C2×#4112yes—
740C2×Dic59C2×#4112yes—
741C2×Dic59C2×#4112yes—
742C2×Dic59H(5,𝔽2)12yes—
743C2×Dic59H(5,𝔽2)12yes—
744D236—44no—
745D236—44no—
746D236—82no—
747D236—82no—
748D236—82no—
749C4×D59—44no—
750C4×D59—44no—
751C4×D59—82no—
752C4×D59—82no—
753C4×D59—82no—
754C4×D59—82no—
755Dic118—44no—
756#60034—591nomaximal, Sylow
757C22×C59—22no—
758C22×C59—22no—
759C22×C59—22no—
760C22×C59—22no—
761C22×C59—22no—
762C22×C59—22no—
763C22×C59—41no—
764C22×C59—41no—
765C22×C59—41no—
766C22×C59—41no—
767C22×C59—41no—
768C22×C59—41no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59—41no—
773C22×C59—41no—
774C22×C59—41no—
775C22×C59—41no—
776C22×C59—41no—
777C22×C59—41no—
778C22×C59C22×#4111yescharacteristic
779C22×C59C22×#4111yescharacteristic
780C22×C59C22×#4111yescharacteristic
781C22×C59C2×H(5,𝔽2)11yescharacteristic
782C22×C59C2×H(5,𝔽2)11yescharacteristic
783C22×C59C2×H(5,𝔽2)11yescharacteristic
784C22×C59C2×H(5,𝔽2)11yescharacteristic
785C2×D59—22no—
786C2×D59—22no—
787C2×D59—22no—
788C2×D59—22no—
789C2×D59—22no—
790C2×D59—22no—
791C2×D59—41no—
792C2×D59—41no—
793C2×D59—41no—
794C2×D59—41no—
795C2×D59—41no—
796C2×D59—41no—
797C2×D59—41no—
798C2×D59—41no—
799C2×D59—41no—
800C2×D59—41no—
801C2×D59—41no—
802C2×D59—41no—
803C2×D59—41no—
804C2×D59—41no—
805C2×D59—41no—
806C2×D59—41no—
807C2×D59—41no—
808C2×D59—41no—
809C2×D59—41no—
810C2×D59—41no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—88no—
814C4×C59—22no—
815C4×C59—22no—
816C4×C59—22no—
817C4×C59—41no—
818C4×C59—41no—
819C4×C59—41no—
820C4×C59—41no—
821C4×C59—41no—
822C4×C59—41no—
823C4×C59—41no—
824C4×C59—41no—
825C4×C59—41no—
826Dic59—22no—
827Dic59—22no—
828Dic59—22no—
829Dic59—22no—
830Dic59—22no—
831Dic59—22no—
832Dic59—41no—
833Dic59—41no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838#2748—591no—
839#2703—591no—
840#2703—591no—
841#2669—591no—
842#2602—591no—
843#2602—591no—
844#2589—591no—
845#2589—591no—
846#2557—591no—
847#2557—591no—
848#2539—591no—
849#2539—591no—
850#2516—591no—
851#2516—591no—
852#2471—591no—
853#2471D5911yescharacteristic, complemented
854#2464—591no—
855#2464—591no—
856#2456—591no—
857#2456—591no—
858#2431—591no—
859#2404—591no—
860#2374—591no—
861#2374—591no—
862#2366—591no—
863#2358—591no—
864#2358—591no—
865#2358—591no—
866C4×#121—591no—
867C4×#121—591no—
868#2297—591no—
869C2×C59—42no—
870C2×C59—42no—
871C2×C59—81no—
872C2×C59#348111yescharacteristic
873C2×C59#348111yescharacteristic
874C2×C59#348111yescharacteristic
875C2×C59#349011yescharacteristic
876C2×C59#350811yescharacteristic
877C2×C59#350811yescharacteristic
878C2×C59#353711yescharacteristic
879D59—42no—
880D59—42no—
881D59—81no—
882D59—81no—
883C22×#41—591no—
884C2×#127—591no—
885C2×#124—591no—
886C2×#123—591no—
887C2×#123—591no—
888C2×#123—591no—
889C2×#123—591no—
890C2×#123—591no—
891C2×#123C2×D5911yescharacteristic
892C2×#121—591no—
893C2×#121—591no—
894C2×#121—591no—
895C2×#121—591no—
896C2×#121—591no—
897C2×#120—591no—
898C2×#120—591no—
899C2×#120—591no—
900C2×#120—591no—
901C2×C4×D4—591no—
902C2×C4×D4—591no—
903C2×C4×D4—591no—
904C2×C4×D4—591no—
905C2×C4×D4—591no—
906C2×C4×D4—591no—
907C2×C4×D4—591no—
908C2×C4×D4—591no—
909C2×#117C2×D5911yescharacteristic, complemented
910C22×C22⋊C4—591no—
911C22×C22⋊C4—591no—
912C22×C22⋊C4—591no—
913C22×C42—591no—
914#400—591no—
915#400—591no—
916#399—591no—
917#399—591no—
918#399—591no—
919#399C2×D5911yescharacteristic
920#398—591no—
921#398—591no—
922#397—591no—
923#397—591no—
924#397—591no—
925#397C2×D5911yescharacteristic, complemented
926#396—591no—
927#396C2×D5911yescharacteristic, complemented
928#394—591no—
929#394—591no—
930#394—591no—
931#394—591no—
932#393—591no—
933#393—591no—
934#392—591no—
935#392—591no—
936#392—591no—
937#392—591no—
938#392—591no—
939#392—591no—
940#392—591no—
941#392—591no—
942#392—591no—
943#392—591no—
944#392—591no—
945#392C2×D5911yescharacteristic
946#391—591no—
947#391—591no—
948#391—591no—
949#390—591no—
950#390—591no—
951#390—591no—
952#390—591no—
953#390—591no—
954#390—591no—
955#390—591no—
956#390—591no—
957#390—591no—
958#390—591no—
959#390—591no—
960#390C2×D5911yescharacteristic
961#390C2×D5911yescharacteristic, complemented
962#389—591no—
963#389—591no—
964#388—591no—
965#388—591no—
966#388—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—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#388—591no—
981#388C2×D5911yescharacteristic, complemented
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#386—591no—
1005#386—591no—
1006#386—591no—
1007#386—591no—
1008#386—591no—
1009#386C2×D5911yescharacteristic
1010#386C2×D5911yescharacteristic
1011#386C2×D5911yescharacteristic, complemented
1012#385—591no—
1013#385—591no—
1014#385—591no—
1015#385—591no—
1016#385—591no—
1017#385—591no—
1018#381—591no—
1019#380—591no—
1020#380—591no—
1021C4×C4⋊C4—591no—
1022C4×C4⋊C4—591no—
1023C4×C4⋊C4—591no—
1024C4×C4⋊C4—591no—
1025C4×C22⋊C4—591no—
1026C4×C22⋊C4—591no—
1027C4×C22⋊C4—591no—
1028C4×C22⋊C4—591no—
1029C4×C22⋊C4—591no—
1030C4×C22⋊C4—591no—
1031C4×C22⋊C4—591no—
1032C4×C22⋊C4—591no—
1033C4×C22⋊C4—591no—
1034C4×C22⋊C4—591no—
1035C4×C22⋊C4—591no—
1036C4×C22⋊C4—591no—
1037C4×C22⋊C4C2×D5911yescharacteristic
1038C59#6003411yescharacteristic, complemented, Sylow
1039C25—591no—
1040C2×#41—1184no—
1041C2×#41—2362no—
1042C2×#41—2362no—
1043C22×Q8—591no—
1044C22×D4—591no—
1045C22×D4—591no—
1046C22×D4—591no—
1047C22×D4—591no—
1048C22×D4—591no—
1049C22×D4—591no—
1050C22×D4—591no—
1051C22×D4—591no—
1052C22×D4—591no—
1053C22×D4—591no—
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4C22×D5911yescharacteristic
1060C22×D4C22×D5911yescharacteristic
1061C22×D4C22×D5911yescharacteristic
1062C23×C4—591no—
1063C23×C4—591no—
1064C23×C4—591no—
1065C23×C4—591no—
1066C23×C4—591no—
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4—591no—
1070C23×C4—591no—
1071C23×C4—591no—
1072C23×C4C22×D5911yescharacteristic
1073C23×C4C22×D5911yescharacteristic
1074#127—1184no—
1075#124—2362no—
1076#123—42no—
1077#123—1184no—
1078#123—1184no—
1079#123—2362no—
1080#123—2362no—
1081#123—2362no—
1082#121—1184no—
1083#121—1184no—
1084#121—2362no—
1085#121—2362no—
1086#121—2362no—
1087#120—1184no—
1088#120—1184no—
1089#120—1184no—
1090#120—2362no—
1091C4×D4—2362no—
1092C4×D4—2362no—
1093C4×D4—2362no—
1094C4×D4—2362no—
1095C4×D4—2362no—
1096C4×D4—2362no—
1097C4×D4—2362no—
1098C4×D4—2362no—
1099#117—42no—
1100C2×C4⋊C4—591no—
1101C2×C4⋊C4—591no—
1102C2×C4⋊C4—591no—
1103C2×C4⋊C4—591no—
1104C2×C4⋊C4—591no—
1105C2×C4⋊C4—591no—
1106C2×C4⋊C4—591no—
1107C2×C4⋊C4—591no—
1108C2×C4⋊C4—591no—
1109C2×C4⋊C4—591no—
1110C2×C4⋊C4—591no—
1111C2×C4⋊C4—591no—
1112C2×C4⋊C4—591no—
1113C2×C4⋊C4—591no—
1114C2×C4⋊C4—591no—
1115C2×C4⋊C4C22×D5911yescharacteristic
1116C2×C4⋊C4C22×D5911yescharacteristic
1117C2×C4⋊C4C22×D5911yescharacteristic
1118C2×C4⋊C4C22×D5911yescharacteristic
1119C2×C4⋊C4C22×D5911yescharacteristic
1120C2×C4⋊C4C22×D5911yescharacteristic
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⋊C4—591no—
1144C2×C22⋊C4—591no—
1145C2×C22⋊C4—591no—
1146C2×C22⋊C4—591no—
1147C2×C22⋊C4—591no—
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—2362no—
1163C2×C22⋊C4—2362no—
1164C2×C22⋊C4—2362no—
1165C2×C22⋊C4C22×D5911yescharacteristic
1166C2×C22⋊C4C22×D5911yescharacteristic
1167C2×C22⋊C4C22×D5911yescharacteristic
1168C2×C22⋊C4C22×D5911yescharacteristic
1169C2×C22⋊C4C22×D5911yescharacteristic
1170C2×C22⋊C4C22×D5911yescharacteristic
1171C2×C22⋊C4C22×D5911yescharacteristic
1172C2×C22⋊C4C22×D5911yescharacteristic
1173C2×C22⋊C4C22×D5911yescharacteristic
1174C2×C22⋊C4C22×D5911yescharacteristic
1175C2×C22⋊C4C22×D5911yescharacteristic
1176C2×C22⋊C4C22×D5911yescharacteristic
1177C2×C22⋊C4C22×D5911yescharacteristic
1178C2×C42—591no—
1179C2×C42—591no—
1180C2×C42—591no—
1181C2×C42—591no—
1182C2×C42—591no—
1183C2×C42—591no—
1184C2×C42—591no—
1185C2×C42—591no—
1186C2×C42—591no—
1187C2×C42—591no—
1188C2×C42—591no—
1189C2×C42—2362no—
1190C2×C42C22×D5911yescharacteristic
1191C2×C42C22×D5911yescharacteristic
1192C2×C42C22×D5911yescharacteristic
1193#95—591no—
1194#95—591no—
1195#95—591no—
1196#95—591no—
1197#95—591no—
1198#95—591no—
1199#95—591no—
1200#95—591no—
1201#95—591no—
1202#95—591no—
1203#95—591no—
1204#95—591no—
1205#95—591no—
1206#95—591no—
1207#95—591no—
1208#95—591no—
1209#95—591no—
1210#95—591no—
1211#95—591no—
1212#95—591no—
1213#95—591no—
1214#95—591no—
1215#95—591no—
1216#95—591no—
1217#95—591no—
1218#95—591no—
1219#95C22×D5911yescharacteristic
1220#95C22×D5911yescharacteristic
1221#95C22×D5911yescharacteristic
1222#95C22×D5911yescharacteristic
1223#95C22×D5911yescharacteristic
1224#95C22×D5911yescharacteristic
1225#95C22×D5911yescharacteristic
1226#95C22×D5911yescharacteristic
1227C24—591no—
1228C24—591no—
1229C24—591no—
1230C24—591no—
1231C24—1182no—
1232C24—1182no—
1233C24—1182no—
1234C24—2361no—
1235C24—2361no—
1236C24—2361no—
1237C24—2361no—
1238C24C23×D5911yescharacteristic
1239C24C23×D5911yescharacteristic
1240C24C23×D5911yescharacteristic
1241#41—23616no—
1242C2×Q8—1182no—
1243C2×Q8—1182no—
1244C2×Q8—2361no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—594no—
1255C2×D4—1182no—
1256C2×D4—1182no—
1257C2×D4—1182no—
1258C2×D4—1182no—
1259C2×D4—1182no—
1260C2×D4—1182no—
1261C2×D4—1182no—
1262C2×D4—1182no—
1263C2×D4—1182no—
1264C2×D4—1182no—
1265C2×D4—1182no—
1266C2×D4—1182no—
1267C2×D4—1182no—
1268C2×D4—1182no—
1269C2×D4—1182no—
1270C2×D4—1182no—
1271C2×D4—1182no—
1272C2×D4—1182no—
1273C2×D4—1182no—
1274C2×D4—2361no—
1275C2×D4—2361no—
1276C2×D4—2361no—
1277C2×D4—2361no—
1278C2×D4—2361no—
1279C2×D4—2361no—
1280C2×D4—2361no—
1281C2×D4—2361no—
1282C2×D4—2361no—
1283C2×D4—2361no—
1284C2×D4—2361no—
1285C2×D4—2361no—
1286C2×D4—2361no—
1287C2×D4—2361no—
1288C2×D4—2361no—
1289C2×D4—2361no—
1290C2×D4—2361no—
1291C2×D4—2361no—
1292C2×D4—2361no—
1293C2×D4—2361no—
1294C2×D4—2361no—
1295C2×D4—2361no—
1296C2×D4—2361no—
1297C2×D4—2361no—
1298C2×D4—2361no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—591no—
1306C22×C4—591no—
1307C22×C4—591no—
1308C22×C4—591no—
1309C22×C4—591no—
1310C22×C4—591no—
1311C22×C4—591no—
1312C22×C4—591no—
1313C22×C4—591no—
1314C22×C4—591no—
1315C22×C4—591no—
1316C22×C4—591no—
1317C22×C4—1182no—
1318C22×C4—1182no—
1319C22×C4—1182no—
1320C22×C4—1182no—
1321C22×C4—1182no—
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—2361no—
1331C22×C4—2361no—
1332C22×C4—2361no—
1333C22×C4—2361no—
1334C22×C4—2361no—
1335C22×C4—2361no—
1336C22×C4—2361no—
1337C22×C4—2361no—
1338C22×C4—2361no—
1339C22×C4—2361no—
1340C22×C4—2361no—
1341C22×C4—2361no—
1342C22×C4—2361no—
1343C22×C4—2361no—
1344C22×C4—2361no—
1345C22×C4—2361no—
1346C22×C4—2361no—
1347C22×C4C23×D5911yescharacteristic
1348C22×C4C23×D5911yescharacteristic
1349C22×C4C23×D5911yescharacteristic
1350C22×C4C23×D5911yescharacteristic
1351C22×C4C23×D5911yescharacteristic
1352C22×C4C23×D5911yescharacteristic
1353C22×C4C23×D5911yescharacteristic
1354C22×C4C23×D5911yescharacteristic
1355C22×C4C23×D5911yescharacteristic
1356C22×C4C23×D5911yescharacteristic
1357C22×C4C23×D5911yescharacteristic
1358C22×C4C23×D5911yescharacteristic
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—41no—
1363C4⋊C4—41no—
1364C4⋊C4—41no—
1365C4⋊C4—1182no—
1366C4⋊C4—1182no—
1367C4⋊C4—1182no—
1368C4⋊C4—1182no—
1369C4⋊C4—1182no—
1370C4⋊C4—1182no—
1371C4⋊C4—1182no—
1372C4⋊C4—1182no—
1373C4⋊C4—1182no—
1374C4⋊C4—2361no—
1375C4⋊C4—2361no—
1376C4⋊C4—2361no—
1377C4⋊C4—2361no—
1378C4⋊C4—2361no—
1379C4⋊C4—2361no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—594no—
1394C22⋊C4—594no—
1395C22⋊C4—1182no—
1396C22⋊C4—1182no—
1397C22⋊C4—1182no—
1398C22⋊C4—1182no—
1399C22⋊C4—1182no—
1400C22⋊C4—1182no—
1401C22⋊C4—1182no—
1402C22⋊C4—1182no—
1403C22⋊C4—1182no—
1404C22⋊C4—1182no—
1405C22⋊C4—1182no—
1406C22⋊C4—1182no—
1407C22⋊C4—1182no—
1408C22⋊C4—1182no—
1409C22⋊C4—1182no—
1410C22⋊C4—1182no—
1411C22⋊C4—1182no—
1412C22⋊C4—1182no—
1413C22⋊C4—1182no—
1414C22⋊C4—1182no—
1415C22⋊C4—1182no—
1416C22⋊C4—1182no—
1417C22⋊C4—1182no—
1418C22⋊C4—1182no—
1419C22⋊C4—2361no—
1420C22⋊C4—2361no—
1421C22⋊C4—2361no—
1422C22⋊C4—2361no—
1423C22⋊C4—2361no—
1424C22⋊C4—2361no—
1425C22⋊C4—2361no—
1426C22⋊C4—2361no—
1427C22⋊C4—2361no—
1428C22⋊C4—2361no—
1429C22⋊C4—2361no—
1430C22⋊C4—2361no—
1431C22⋊C4—2361no—
1432C22⋊C4—2361no—
1433C22⋊C4—2361no—
1434C42—41no—
1435C42—41no—
1436C42—41no—
1437C42—1182no—
1438C42—1182no—
1439C42—1182no—
1440C42—2361no—
1441C42—2361no—
1442C42—2361no—
1443C42—2361no—
1444C42—2361no—
1445C42—2361no—
1446C42—2361no—
1447C42—2361no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—592no—
1468C23—592no—
1469C23—1181no—
1470C23—1181no—
1471C23—1181no—
1472C23—1181no—
1473C23—1181no—
1474C23—1181no—
1475C23—1181no—
1476C23—1181no—
1477C23—1181no—
1478C23—1181no—
1479C23—1181no—
1480C23—1181no—
1481C23—1181no—
1482C23—1181no—
1483C23—1181no—
1484C23—1181no—
1485C23—1181no—
1486C23—1181no—
1487C23—1181no—
1488C23—1181no—
1489C23—1181no—
1490C23—1181no—
1491C23—1181no—
1492C23—1181no—
1493C23—1181no—
1494C23—1181no—
1495C23—4722no—
1496C23—4722no—
1497C23—4722no—
1498C23—4722no—
1499C23—2364no—
1500C23—2364no—
1501C23—2364no—
1502C23#41×D5912yes—
1503C23#41×D5912yes—
1504C23C24×D5911yescharacteristic
1505Q8—2364no—
1506D4—44no—
1507D4—44no—
1508D4—82no—
1509D4—4722no—
1510D4—4722no—
1511D4—4722no—
1512D4—4722no—
1513D4—4722no—
1514D4—4722no—
1515D4—2364no—
1516D4—2364no—
1517D4—2364no—
1518D4—2364no—
1519D4—2364no—
1520D4—2364no—
1521D4—2364no—
1522D4—2364no—
1523D4—2364no—
1524C2×C4—28no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
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—82no—
1559C2×C4—592no—
1560C2×C4—592no—
1561C2×C4—592no—
1562C2×C4—592no—
1563C2×C4—592no—
1564C2×C4—592no—
1565C2×C4—1181no—
1566C2×C4—1181no—
1567C2×C4—1181no—
1568C2×C4—1181no—
1569C2×C4—1181no—
1570C2×C4—1181no—
1571C2×C4—1181no—
1572C2×C4—1181no—
1573C2×C4—1181no—
1574C2×C4—1181no—
1575C2×C4—1181no—
1576C2×C4—1181no—
1577C2×C4—1181no—
1578C2×C4—1181no—
1579C2×C4—1181no—
1580C2×C4—1181no—
1581C2×C4—1181no—
1582C2×C4—1181no—
1583C2×C4—1181no—
1584C2×C4—1181no—
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—4722no—
1596C2×C4—4722no—
1597C2×C4—4722no—
1598C2×C4—4722no—
1599C2×C4—4722no—
1600C2×C4—4722no—
1601C2×C4—2364no—
1602C2×C4—2364no—
1603C2×C4—2364no—
1604C2×C4—2364no—
1605C2×C4#41×D5912yes—
1606C2×C4#1427377212yes—
1607C2×C4#1427377312yes—
1608C22—22no—
1609C22—22no—
1610C22—22no—
1611C22—22no—
1612C22—22no—
1613C22—22no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—1182no—
1630C22—1182no—
1631C22—1182no—
1632C22—1182no—
1633C22—1182no—
1634C22—1182no—
1635C22—4728no—
1636C22—2361no—
1637C22—2361no—
1638C22—2361no—
1639C22—2361no—
1640C22—2361no—
1641C22—2361no—
1642C22—2361no—
1643C22—2361no—
1644C22—2361no—
1645C22—2361no—
1646C22—2361no—
1647C22—2361no—
1648C22—2361no—
1649C22—2361no—
1650C22—2361no—
1651C22—2361no—
1652C22—2361no—
1653C22—2361no—
1654C22—2361no—
1655C22—2361no—
1656C22—2361no—
1657C22—2361no—
1658C22C2×#41×D5911yescharacteristic
1659C22C2×#41×D5911yescharacteristic
1660C22C2×#41×D5911yescharacteristic
1661C22H(5,𝔽2)×D5911yescharacteristic
1662C22H(5,𝔽2)×D5911yescharacteristic
1663C22C2×#1427377211yescharacteristic
1664C22C2×#1427377311yescharacteristic
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—1182no—
1678C4—1182no—
1679C4—1182no—
1680C4—1182no—
1681C4—1182no—
1682C4—1182no—
1683C4—2361no—
1684C4—2361no—
1685C4—2361no—
1686C4—2361no—
1687C4—2361no—
1688C4—2361no—
1689C2—42no—
1690C2—42no—
1691C2—81no—
1692C2—4721no—
1693C2—4721no—
1694C2—2362no—
1695C2—2362no—
1696C2#2143769911yescharacteristic
1697C2#2143769911yescharacteristic
1698C2#2143770211yescharacteristic
1699C2#2143777911yescharacteristic
1700C2#2143796411yescharacteristic
1701C2#2143796611yescharacteristic
1702C2#2143833411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2471C2
hypercenter#2471D59
hypocenterC59#60034
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2471

Complements

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

NH ≅ G/Ntype
1. #21431303C2semidirect
2. #21430740C2semidirect
3. #21430736C2semidirect
4. #21430307C2semidirect
5. #21429706C2semidirect
6. #21429703C2semidirect
7. #21429553C2semidirect
8. #21429540C2semidirect
9. #21429198C2semidirect
10. #21429191C2semidirect
11. #21429026C2semidirect
12. #21429023C2semidirect
13. #21428736C2semidirect
14. #21428728C2semidirect
15. #21428201C2semidirect
16. #21428108C2semidirect
17. #21428100C2semidirect
18. #21427991C2semidirect
19. #21427981C2semidirect
20. #21427713C2semidirect
21. #21427413C2semidirect
22. #21427228C2semidirect
23. #21427227C2semidirect
24. #21427157C2semidirect
25. #21427078C2semidirect
26. #21427077C2semidirect
27. #21427076C2semidirect
28. #21426606C2semidirect
29. #21426606C2semidirect
30. #21426584C2semidirect
31. C59×#2471C2semidirect
34. C2×#14273713C22semidirect
37. C2×#14273712C22semidirect
38. C2×#14273711C22semidirect
41. C2×#14273700C22semidirect
51. C2×D4×Dic59C22semidirect
56. C2×(C22⋊D59)⋊C4C22semidirect
60. C22×C4×Dic59C22semidirect
61. #16837343C22semidirect
62. #16837340C22semidirect
66. #16837333C22semidirect
67. #16837332C22semidirect
68. #16837331C22semidirect
69. #16837330C22semidirect
70. #16837328C22semidirect
71. #16837325C22semidirect
73. #16837320C22semidirect
75. #16837317C22semidirect
85. #16837311C22semidirect
88. #16837310C22semidirect
89. #16837307C22semidirect
90. #16837307C22semidirect
91. #16837306C22semidirect
102. #16837302C22semidirect
103. #16837299C22semidirect
104. #16837299C22semidirect
108. #16837294C22semidirect
109. #16837294C22semidirect
111. #16837293C22semidirect
112. #16837293C22semidirect
113. #16837292C22semidirect
116. #16837291C22semidirect
117. #16837291C22semidirect
120. #16837290C22semidirect
121. #16837290C22semidirect
122. #16837288C22semidirect
123. #16837286C22semidirect
124. #16837285C22semidirect
125. #16837284C22semidirect
126. #16837283C22semidirect
127. #16837283C22semidirect
131. #16837281C22semidirect
138. #16837279C22semidirect
139. #16837279C22semidirect
140. #16837279C22semidirect
146. #16837278C22semidirect
154. #16837260C22semidirect
155. #16837260C22semidirect
156. C4⋊C4×Dic59C22semidirect
157. C4×Dic59⋊C4C22semidirect
158. #16837253C22semidirect
159. #16837253C22semidirect
161. C22⋊C4×Dic59C22semidirect
165. C4×(C2×D59)⋊C4C22semidirect
166. C4×(C2×D59)⋊C4C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
173. C2×#117×C59C22semidirect
175. C59×#397C22semidirect
176. C59×#396C22semidirect
179. C59×#390C22semidirect
180. C59×#388C22semidirect
181. C59×#387C22semidirect
182. C59×#387C22semidirect
185. C59×#386C22semidirect
537. C22⋊Dic59#41semidirect
569. (C2×D59)⋊C4#41semidirect
853. #2471D59semidirect
909. C2×#117C2×D59semidirect
925. #397C2×D59semidirect
927. #396C2×D59semidirect
961. #390C2×D59semidirect
981. #388C2×D59semidirect
988. #387C2×D59semidirect
989. #387C2×D59semidirect
1011. #386C2×D59semidirect
1038. C59#60034semidirect

Maximal subgroups

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

subgroupindex
#214313032
#214307402
#214307362
#214303072
#214297062
#214297032
#214295532
#214295402
#214291982
#214291912
#214290262
#214290232
#214287362
#214287282
#214282012
#214281082
#214281002
#214279912
#214279812
#214277132
#214274132
#214272282
#214272272
#214271572
#214270782
#214270772
#214270762
#214266062
#214265842
C59×#24712
#6003459