Finite Group Databasebeta

← #29451754

Subgroups — #29451754

Order 15104.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21430490C211yesmaximal, characteristic, complemented
2#21430482C211yesmaximal, characteristic, complemented
3#21430478C211yesmaximal, characteristic, complemented
4#21430312C211yesmaximal, characteristic
5#21429726C211yesmaximal, characteristic, complemented
6#21429721C211yesmaximal, characteristic, complemented
7#21429685C211yesmaximal, characteristic, complemented
8#21429684C211yesmaximal, characteristic, complemented
9#21429611C211yesmaximal, characteristic, complemented
10#21429553C211yesmaximal, characteristic, complemented
11#21429548C211yesmaximal, characteristic, complemented
12#21429441C211yesmaximal, characteristic, complemented
13#21429231C211yesmaximal, characteristic, complemented
14#21429228C211yesmaximal, characteristic, complemented
15#21429065C211yesmaximal, characteristic, complemented
16#21428146C211yesmaximal, characteristic, complemented
17#21428144C211yesmaximal, characteristic, complemented
18#21428133C211yesmaximal, characteristic, complemented
19#21428127C211yesmaximal, characteristic, complemented
20#21428039C211yesmaximal, characteristic, complemented
21#21428031C211yesmaximal, characteristic, complemented
22#21427222C211yesmaximal, characteristic, complemented
23#21427212C211yesmaximal, characteristic, complemented
24#21427203C211yesmaximal, characteristic, complemented
25#21427157C211yesmaximal, characteristic, complemented
26#21427114C211yesmaximal, characteristic, complemented
27#21427109C211yesmaximal, characteristic, complemented
28#21426601C211yesmaximal, characteristic, complemented
29C4×#14273697C211yesmaximal, characteristic, complemented
30#21426597C211yesmaximal, characteristic, complemented
31C59×#2595C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33C2×#14273723C2211yescharacteristic
34C2×#14273722C2211yescharacteristic
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273721C2211yescharacteristic
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273713C2211yescharacteristic
39C2×#14273713C2211yescharacteristic, complemented
40C2×#14273702C2211yescharacteristic
41C2×#14273700C2211yescharacteristic
42C2×#14273697C2211yescharacteristic
43C2×#14273697C2211yescharacteristic
44C2×#14273695C2211yescharacteristic
45C2×C4×D236C2211yescharacteristic
46C2×C4×D236C2211yescharacteristic
47C2×C4×D236C2211yescharacteristic, complemented
48C2×D4×Dic59C2211yescharacteristic
49C2×#14273689C2211yescharacteristic
50C2×#14273689C2211yescharacteristic
51C2×C4×C22⋊D59C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic
53C2×(C22⋊D59)⋊C4C2211yescharacteristic
54C2×(C22⋊D59)⋊C4C2211yescharacteristic
55C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
56C2×C4⋊C4×D59C2211yescharacteristic, complemented
57#16837343C2211yescharacteristic, complemented
58#16837337C2211yescharacteristic
59#16837337C2211yescharacteristic
60#16837336C2211yescharacteristic, complemented
61#16837333C2211yescharacteristic, complemented
62#16837331C2211yescharacteristic, complemented
63#16837330C2211yescharacteristic
64#16837325C2211yescharacteristic
65#16837325C2211yescharacteristic
66#16837320C2211yescharacteristic
67#16837320C2211yescharacteristic
68#16837320C2211yescharacteristic
69#16837320C2211yescharacteristic, complemented
70#16837319C2211yescharacteristic
71#16837319C2211yescharacteristic
72#16837318C2211yescharacteristic
73#16837317C2211yescharacteristic
74#16837317C2211yescharacteristic
75#16837317C2211yescharacteristic
76#16837317C2211yescharacteristic
77#16837317C2211yescharacteristic, complemented
78#16837316C2211yescharacteristic
79#16837315C2211yescharacteristic
80#16837315C2211yescharacteristic
81#16837312C2211yescharacteristic
82#16837311C2211yescharacteristic
83#16837311C2211yescharacteristic
84#16837311C2211yescharacteristic
85#16837307C2211yescharacteristic, complemented
86#16837306C2211yescharacteristic, complemented
87#16837306C2211yescharacteristic, complemented
88#16837304C2211yescharacteristic
89#16837303C2211yescharacteristic, complemented
90#16837302C2211yescharacteristic
91#16837302C2211yescharacteristic
92#16837302C2211yescharacteristic, complemented
93#16837302C2211yescharacteristic, complemented
94#16837301C2211yescharacteristic, complemented
95#16837299C2211yescharacteristic, complemented
96#16837298C2211yescharacteristic, complemented
97#16837297C2211yescharacteristic, complemented
98#16837296C2211yescharacteristic
99#16837296C2211yescharacteristic, complemented
100#16837294C2211yescharacteristic
101#16837294C2211yescharacteristic, complemented
102#16837293C2211yescharacteristic
103#16837293C2211yescharacteristic
104#16837293C2211yescharacteristic, complemented
105#16837293C2211yescharacteristic, complemented
106#16837292C2211yescharacteristic
107#16837292C2211yescharacteristic
108#16837292C2211yescharacteristic, complemented
109#16837291C2211yescharacteristic
110#16837291C2211yescharacteristic
111#16837291C2211yescharacteristic
112#16837291C2211yescharacteristic, complemented
113#16837291C2211yescharacteristic, complemented
114#16837289C2211yescharacteristic, complemented
115#16837287C2211yescharacteristic, complemented
116#16837287C2211yescharacteristic, complemented
117#16837286C2211yescharacteristic, complemented
118#16837285C2211yescharacteristic, complemented
119#16837284C2211yescharacteristic, complemented
120#16837284C2211yescharacteristic, complemented
121#16837283C2211yescharacteristic, complemented
122#16837281C2211yescharacteristic
123#16837280C2211yescharacteristic
124#16837280C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837280C2211yescharacteristic
127#16837280C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic, complemented
130#16837279C2211yescharacteristic
131#16837279C2211yescharacteristic, complemented
132#16837278C2211yescharacteristic
133#16837278C2211yescharacteristic
134#16837278C2211yescharacteristic
135#16837278C2211yescharacteristic
136#16837278C2211yescharacteristic, complemented
137#16837278C2211yescharacteristic, complemented
138#16837277C2211yescharacteristic
139#16837277C2211yescharacteristic, complemented
140#16837276C2211yescharacteristic
141#16837276C2211yescharacteristic
142#16837276C2211yescharacteristic
143#16837276C2211yescharacteristic
144#16837276C2211yescharacteristic, complemented
145#16837276C2211yescharacteristic, complemented
146#16837275C2211yescharacteristic
147#16837273C2211yescharacteristic
148#16837273C2211yescharacteristic
149#16837273C2211yescharacteristic, complemented
150#16837264C2211yescharacteristic, complemented
151#16837263C2211yescharacteristic, complemented
152#16837261C2211yescharacteristic, complemented
153#16837257C2211yescharacteristic
154#16837257C2211yescharacteristic
155#16837257C2211yescharacteristic
156C4⋊C4×Dic59C2211yescharacteristic, complemented
157C4×Dic59⋊C4C2211yescharacteristic, complemented
158C4×Dic59⋊C4C2211yescharacteristic, complemented
159#16837253C2211yescharacteristic, complemented
160C22⋊C4×Dic59C2211yescharacteristic
161C22⋊C4×Dic59C2211yescharacteristic
162C4×(C2×D59)⋊C4C2211yescharacteristic
163C4×(C2×D59)⋊C4C2211yescharacteristic
164C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic
169#16837249C2211yescharacteristic, complemented
170#16837248C2211yescharacteristic, complemented
171#16837247C2211yescharacteristic, complemented
172C59×#400C2211yescharacteristic, complemented
173C59×#397C2211yescharacteristic
174C59×#397C2211yescharacteristic, complemented
175C59×#394C2211yescharacteristic
176C59×#390C2211yescharacteristic
177C59×#388C2211yescharacteristic
178C59×#388C2211yescharacteristic, complemented
179C59×#388C2211yescharacteristic, complemented
180C59×#388C2211yescharacteristic, complemented
181C59×#387C2211yescharacteristic, complemented
182C59×#387C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic
184C59×#385C2211yescharacteristic
185C4×C4⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
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
213#14273723—24no—
214#14273722—24no—
215#14273722—42no—
216#14273721—24no—
217#14273720—42no—
218#14273713—24no—
219#14273713—42no—
220#14273702—24no—
221#14273700—24no—
222#14273697—24no—
223#14273697—24no—
224#14273695—24no—
225C4×D236—42no—
226C4×D236—42no—
227C4×D236—42no—
228D4×Dic59—42no—
229#14273689—42no—
230#14273689—42no—
231C4×C22⋊D59—42no—
232(C22⋊D59)⋊C4—42no—
233(C22⋊D59)⋊C4—42no—
234(C22⋊D59)⋊C4—42no—
235(C22⋊D59)⋊C4—42no—
236C2×C4⋊Dic59C2311yescharacteristic
237C2×C4⋊Dic59C2311yescharacteristic
238C2×C4⋊Dic59C2311yescharacteristic
239C2×C4⋊Dic59C2311yescharacteristic
240C2×C4⋊Dic59C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
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
255C4⋊C4×D59—42no—
256C2×C22⋊Dic59C2311yescharacteristic
257C2×C22⋊Dic59C2311yescharacteristic
258C2×C22⋊Dic59C2311yescharacteristic
259C2×C22⋊Dic59C2311yescharacteristic
260C2×C22⋊Dic59C2311yescharacteristic
261C2×C22⋊Dic59C2311yescharacteristic
262C2×C22⋊Dic59C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
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×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C2×C4×Dic59C2311yescharacteristic
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
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
334C22×D4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336C2×C4⋊C4×C59C2311yescharacteristic
337C2×C4⋊C4×C59C2311yescharacteristic
338C2×C4⋊C4×C59C2311yescharacteristic
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C22⋊C4×C59C2311yescharacteristic
343C2×C22⋊C4×C59C2311yescharacteristic
344C2×C22⋊C4×C59C2311yescharacteristic
345C2×C22⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C42×C59C2311yescharacteristic
354C2×C42×C59C2311yescharacteristic
355C2×C42×C59C2311yescharacteristic
356C2×C42×C59C2311yescharacteristic
357#95×C59C2311yescharacteristic
358#95×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59C2411yescharacteristic
370C24×C59C2411yescharacteristic
371C23×D59—22no—
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—41no—
375C23×D59—41no—
376C23×D59—41no—
377C23×D59—41no—
378C23×D59C2411yescharacteristic
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C2×D4×C59—22no—
383C2×D4×C59—22no—
384C2×D4×C59—41no—
385C22×C4×C59—22no—
386C22×C4×C59—41no—
387C22×C4×C59—41no—
388C22×C4×C59C2411yescharacteristic
389C22×C4×C59C2411yescharacteristic
390C22×C4×C59C2411yescharacteristic
391C22×C4×C59C2411yescharacteristic
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
401C2×C22⋊D59—22no—
402C2×C22⋊D59—22no—
403C2×C22⋊D59—22no—
404C2×C22⋊D59—22no—
405C2×C22⋊D59—22no—
406C2×C22⋊D59—22no—
407C2×C22⋊D59—22no—
408C2×C22⋊D59—22no—
409C2×C22⋊D59—41no—
410C2×C22⋊D59—41no—
411C2×C22⋊D59—41no—
412C2×C22⋊D59—41no—
413C2×C22⋊D59—41no—
414C2×C22⋊D59—41no—
415C2×C22⋊D59—41no—
416C2×C22⋊D59—41no—
417C2×C22⋊D59—41no—
418C2×C22⋊D59#4114yes—
419C22×Dic59—22no—
420C22×Dic59—22no—
421C22×Dic59—22no—
422C22×Dic59—41no—
423C22×Dic59—41no—
424C22×Dic59—41no—
425C22×Dic59C2411yescharacteristic
426C22×Dic59C2411yescharacteristic
427C22×Dic59C2411yescharacteristic
428C22×Dic59C2411yescharacteristic
429C22×Dic59C2411yescharacteristic
430C22×Dic59C2411yescharacteristic
431C22×Dic59C2411yescharacteristic
432C22×Dic59C2411yescharacteristic
433C22×Dic59C2411yescharacteristic
434C22×Dic59C2411yescharacteristic
435C22×Dic59C2411yescharacteristic
436C22×Dic59C2411yescharacteristic
437C2×D236—22no—
438C2×D236—22no—
439C2×D236—22no—
440C2×D236—22no—
441C2×D236—22no—
442C2×D236—22no—
443C2×D236—22no—
444C2×D236—22no—
445C2×D236—22no—
446C2×D236—41no—
447C2×D236—41no—
448C2×D236—41no—
449C2×D236—41no—
450C2×D236—41no—
451C2×D236—41no—
452C2×C4×D59—22no—
453C2×C4×D59—22no—
454C2×C4×D59—22no—
455C2×C4×D59—22no—
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—41no—
463C2×C4×D59—41no—
464C2×C4×D59—41no—
465C2×C4×D59—41no—
466C2×C4×D59—41no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—416no—
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×Dic118—22no—
478C2×Dic118—41no—
479C2×Dic118—41no—
480C4⋊C4×C59—22no—
481C4⋊C4×C59—22no—
482C4⋊C4×C59—22no—
483C4⋊C4×C59—41no—
484C4⋊C4×C59—41no—
485C4⋊C4×C59—41no—
486C22⋊C4×C59—22no—
487C22⋊C4×C59—22no—
488C22⋊C4×C59—22no—
489C22⋊C4×C59—22no—
490C22⋊C4×C59—22no—
491C22⋊C4×C59—41no—
492C22⋊C4×C59—41no—
493C22⋊C4×C59—41no—
494C22⋊C4×C59—41no—
495C22⋊C4×C59—41no—
496C22⋊C4×C59—41no—
497C42×C59—22no—
498C42×C59—41no—
499C42×C59—41no—
500C42×C59—41no—
501C22⋊Dic59—22no—
502C22⋊Dic59—22no—
503C22⋊Dic59—22no—
504C22⋊Dic59—41no—
505C22⋊Dic59—41no—
506C22⋊Dic59—41no—
507C22⋊Dic59—41no—
508(C2×D59)⋊C4—22no—
509(C2×D59)⋊C4—22no—
510(C2×D59)⋊C4—22no—
511(C2×D59)⋊C4—22no—
512(C2×D59)⋊C4—22no—
513(C2×D59)⋊C4—22no—
514(C2×D59)⋊C4—22no—
515(C2×D59)⋊C4—22no—
516(C2×D59)⋊C4—22no—
517(C2×D59)⋊C4—22no—
518(C2×D59)⋊C4—22no—
519(C2×D59)⋊C4—22no—
520(C2×D59)⋊C4—22no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—41no—
524(C2×D59)⋊C4—41no—
525(C2×D59)⋊C4—41no—
526(C2×D59)⋊C4—41no—
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#4114yes—
541(C2×D59)⋊C4#4114yes—
542C4⋊Dic59—22no—
543C4⋊Dic59—22no—
544C4⋊Dic59—22no—
545C4⋊Dic59—22no—
546C4⋊Dic59—41no—
547Dic59⋊C4—22no—
548Dic59⋊C4—22no—
549Dic59⋊C4—22no—
550Dic59⋊C4—22no—
551Dic59⋊C4—22no—
552Dic59⋊C4—22no—
553Dic59⋊C4—22no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
559Dic59⋊C4—41no—
560Dic59⋊C4—41no—
561C4×Dic59—22no—
562C4×Dic59—22no—
563C4×Dic59—22no—
564C4×Dic59—22no—
565C4×Dic59—22no—
566C4×Dic59—22no—
567C4×Dic59—41no—
568C4×Dic59—41no—
569C4×Dic59—41no—
570C4×Dic59—41no—
571C4×Dic59—41no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59—21no—
585C23×C59C2×#4112yes—
586C23×C59C2511yescharacteristic
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
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—44no—
613C22×D59—44no—
614C22×D59—44no—
615C22×D59—44no—
616C22×D59—44no—
617C22×D59—44no—
618C22×D59—44no—
619C22×D59C2×#4112yes—
620C22×D59C2×#4112yes—
621C22×D59C2×#4112yes—
622D4×C59—44no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
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—44no—
660C2×C4×C59C2×#4112yes—
661C2×C4×C59C2×#4112yes—
662C2×C4×C59H(5,𝔽2)12yes—
663C22⋊D59—44no—
664C22⋊D59—44no—
665C22⋊D59—44no—
666C22⋊D59—44no—
667C22⋊D59—44no—
668C22⋊D59—82no—
669C2×Dic59—21no—
670C2×Dic59—21no—
671C2×Dic59—21no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
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—44no—
701C2×Dic59—82no—
702C2×Dic59C2×#4112yes—
703C2×Dic59C2×#4112yes—
704C2×Dic59C2×#4112yes—
705C2×Dic59H(5,𝔽2)12yes—
706C2×Dic59H(5,𝔽2)12yes—
707D236—44no—
708D236—44no—
709D236—44no—
710D236—44no—
711D236—44no—
712C4×D59—44no—
713C4×D59—44no—
714C4×D59—44no—
715C4×D59—44no—
716C4×D59—44no—
717C4×D59—82no—
718C4×D59—82no—
719C4×D59—82no—
720Dic118—82no—
721#60031—591nomaximal, Sylow
722C22×C59—22no—
723C22×C59—22no—
724C22×C59—22no—
725C22×C59—41no—
726C22×C59—41no—
727C22×C59—41no—
728C22×C59—41no—
729C22×C59—41no—
730C22×C59—41no—
731C22×C59—41no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59C22×#4111yescharacteristic
737C22×C59C22×#4111yescharacteristic
738C22×C59C22×#4111yescharacteristic
739C22×C59C2×H(5,𝔽2)11yescharacteristic
740C22×C59C2×H(5,𝔽2)11yescharacteristic
741C22×C59C2×H(5,𝔽2)11yescharacteristic
742C22×C59#58511yescharacteristic
743C2×D59—22no—
744C2×D59—22no—
745C2×D59—22no—
746C2×D59—22no—
747C2×D59—22no—
748C2×D59—22no—
749C2×D59—22no—
750C2×D59—22no—
751C2×D59—22no—
752C2×D59—416no—
753C2×D59—41no—
754C2×D59—41no—
755C2×D59—41no—
756C2×D59—41no—
757C2×D59—41no—
758C2×D59—41no—
759C2×D59—41no—
760C2×D59—41no—
761C2×D59—41no—
762C2×D59—41no—
763C2×D59—41no—
764C2×D59—41no—
765C2×D59—41no—
766C2×D59—41no—
767C2×D59—41no—
768C2×D59—41no—
769C2×D59—41no—
770C2×D59—41no—
771C2×D59—41no—
772C4×C59—22no—
773C4×C59—22no—
774C4×C59—22no—
775C4×C59—41no—
776C4×C59—41no—
777C4×C59—41no—
778C4×C59—41no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785Dic59—22no—
786Dic59—22no—
787Dic59—22no—
788Dic59—22no—
789Dic59—22no—
790Dic59—41no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797#2685—591no—
798#2685—591no—
799#2684—591no—
800#2669—591no—
801#2603—591no—
802#2603—591no—
803#2600—591no—
804#2600—591no—
805#2595—591no—
806#2595D5911yescharacteristic, complemented
807#2589—591no—
808#2589—591no—
809#2579—591no—
810#2559—591no—
811#2559—591no—
812#2544—591no—
813#2467—591no—
814#2467—591no—
815#2466—591no—
816#2466—591no—
817#2459—591no—
818#2459—591no—
819#2373—591no—
820#2373—591no—
821#2372—591no—
822#2366—591no—
823#2361—591no—
824#2361—591no—
825C4×#120—591no—
826C4×#120—591no—
827C4×#120—591no—
828C2×C59—42no—
829C2×C59—81no—
830C2×C59#348111yescharacteristic
831C2×C59#348111yescharacteristic
832C2×C59#348111yescharacteristic
833C2×C59#350511yescharacteristic
834C2×C59#350611yescharacteristic
835C2×C59#350611yescharacteristic
836C2×C59#353211yescharacteristic
837D59—42no—
838D59—42no—
839D59—42no—
840D59—81no—
841C24×C4—591no—
842C2×#127—591no—
843C2×#126—591no—
844C2×#126—591no—
845C2×#126—591no—
846C2×#126—591no—
847C2×#124—591no—
848C2×#124—591no—
849C2×#121—591no—
850C2×#121—591no—
851C2×#120—591no—
852C2×#120—591no—
853C2×#120—591no—
854C2×C4×D4—591no—
855C2×C4×D4—591no—
856C2×C4×D4—591no—
857C2×C4×D4—591no—
858C2×C4×D4—591no—
859C2×C4×D4—591no—
860C2×C4×D4—591no—
861C2×C4×D4—591no—
862C2×C4×D4—591no—
863C2×C4×D4—591no—
864C2×C4×D4—591no—
865C22×C4⋊C4—591no—
866#400—591no—
867#400C2×D5911yescharacteristic, complemented
868#399—591no—
869#399—591no—
870#398—591no—
871#398—591no—
872#397—591no—
873#397—591no—
874#397C2×D5911yescharacteristic
875#397C2×D5911yescharacteristic, complemented
876#396—591no—
877#396—591no—
878#394—591no—
879#394—591no—
880#394—591no—
881#394—591no—
882#394—591no—
883#394—591no—
884#394—591no—
885#394—591no—
886#394—591no—
887#394—591no—
888#394—591no—
889#394—591no—
890#394—591no—
891#394C2×D5911yescharacteristic
892#393—591no—
893#393—591no—
894#392—591no—
895#392—591no—
896#392—591no—
897#392—591no—
898#391—591no—
899#391—591no—
900#391—591no—
901#390—591no—
902#390—591no—
903#390—591no—
904#390—591no—
905#390—591no—
906#390—591no—
907#390C2×D5911yescharacteristic
908#389—591no—
909#389—591no—
910#389—591no—
911#389—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#388C2×D5911yescharacteristic
929#388C2×D5911yescharacteristic, complemented
930#388C2×D5911yescharacteristic, complemented
931#388C2×D5911yescharacteristic, complemented
932#387—591no—
933#387—591no—
934#387—591no—
935#387—591no—
936#387—591no—
937#387—591no—
938#387—591no—
939#387—591no—
940#387C2×D5911yescharacteristic, complemented
941#387C2×D5911yescharacteristic, complemented
942#386—591no—
943#386—591no—
944#386—591no—
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#386C2×D5911yescharacteristic
959#385—591no—
960#385—591no—
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385—591no—
967#385—591no—
968#385—591no—
969#385—591no—
970#385—591no—
971#385C2×D5911yescharacteristic
972#381—591no—
973#381—591no—
974#380—591no—
975#379—591no—
976#379—591no—
977#379—591no—
978C4×C4⋊C4—591no—
979C4×C4⋊C4—591no—
980C4×C4⋊C4—591no—
981C4×C4⋊C4—591no—
982C4×C4⋊C4C2×D5911yescharacteristic, complemented
983C4×C22⋊C4—591no—
984C4×C22⋊C4—591no—
985C4×C22⋊C4—591no—
986C4×C22⋊C4—591no—
987C4×C22⋊C4—591no—
988C4×C22⋊C4—591no—
989C4×C22⋊C4—591no—
990C4×C22⋊C4—591no—
991C4×C22⋊C4—591no—
992C4×C22⋊C4—591no—
993C4×C22⋊C4C2×D5911yescharacteristic
994#376—591no—
995#376—591no—
996C59#6003111yescharacteristic, complemented, Sylow
997C25—591no—
998C22×Q8—591no—
999C22×D4—591no—
1000C22×D4—591no—
1001C22×D4—591no—
1002C22×D4—591no—
1003C22×D4—591no—
1004C22×D4—591no—
1005C22×D4—591no—
1006C22×D4—591no—
1007C22×D4—591no—
1008C22×D4—591no—
1009C22×D4—591no—
1010C22×D4C22×D5911yescharacteristic
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—591no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4—591no—
1019C23×C4—591no—
1020C23×C4—591no—
1021C23×C4—2362no—
1022C23×C4—2362no—
1023C23×C4—2362no—
1024C23×C4C22×D5911yescharacteristic
1025#127—1184no—
1026#126—1184no—
1027#126—1184no—
1028#126—2362no—
1029#126—2362no—
1030#124—1184no—
1031#124—2362no—
1032#121—1184no—
1033#121—1184no—
1034#120—1184no—
1035#120—1184no—
1036#120—1184no—
1037C4×D4—2362no—
1038C4×D4—2362no—
1039C4×D4—2362no—
1040C4×D4—2362no—
1041C4×D4—2362no—
1042C4×D4—2362no—
1043C4×D4—2362no—
1044C4×D4—2362no—
1045C4×D4—2362no—
1046C4×D4—2362no—
1047C4×D4—2362no—
1048C2×C4⋊C4—591no—
1049C2×C4⋊C4—591no—
1050C2×C4⋊C4—591no—
1051C2×C4⋊C4—591no—
1052C2×C4⋊C4—591no—
1053C2×C4⋊C4—591no—
1054C2×C4⋊C4—591no—
1055C2×C4⋊C4—591no—
1056C2×C4⋊C4—591no—
1057C2×C4⋊C4—591no—
1058C2×C4⋊C4—591no—
1059C2×C4⋊C4—591no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4—591no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4—2362no—
1068C2×C4⋊C4C22×D5911yescharacteristic
1069C2×C4⋊C4C22×D5911yescharacteristic
1070C2×C4⋊C4C22×D5911yescharacteristic
1071C2×C4⋊C4C22×D5911yescharacteristic
1072C2×C4⋊C4C22×D5911yescharacteristic
1073C2×C4⋊C4C22×D5911yescharacteristic
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
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⋊C4C22×D5911yescharacteristic
1116C2×C22⋊C4C22×D5911yescharacteristic
1117C2×C22⋊C4C22×D5911yescharacteristic
1118C2×C22⋊C4C22×D5911yescharacteristic
1119C2×C22⋊C4C22×D5911yescharacteristic
1120C2×C22⋊C4C22×D5911yescharacteristic
1121C2×C22⋊C4C22×D5911yescharacteristic
1122C2×C22⋊C4C22×D5911yescharacteristic
1123C2×C22⋊C4C22×D5911yescharacteristic
1124C2×C22⋊C4C22×D5911yescharacteristic
1125C2×C22⋊C4C22×D5911yescharacteristic
1126C2×C42—591no—
1127C2×C42—591no—
1128C2×C42—591no—
1129C2×C42—591no—
1130C2×C42—591no—
1131C2×C42—591no—
1132C2×C42—591no—
1133C2×C42—591no—
1134C2×C42—591no—
1135C2×C42—591no—
1136C2×C42—591no—
1137C2×C42C22×D5911yescharacteristic
1138C2×C42C22×D5911yescharacteristic
1139C2×C42C22×D5911yescharacteristic
1140C2×C42C22×D5911yescharacteristic
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95—591no—
1156#95—591no—
1157#95—591no—
1158#95—591no—
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95C22×D5911yescharacteristic
1168#95C22×D5911yescharacteristic
1169#95C22×D5911yescharacteristic
1170#95C22×D5911yescharacteristic
1171#95C22×D5911yescharacteristic
1172#95C22×D5911yescharacteristic
1173#95C22×D5911yescharacteristic
1174#95C22×D5911yescharacteristic
1175#95C22×D5911yescharacteristic
1176#95C22×D5911yescharacteristic
1177#95C22×D5911yescharacteristic
1178#95C22×D5911yescharacteristic
1179C24—591no—
1180C24—591no—
1181C24—591no—
1182C24—591no—
1183C24—1182no—
1184C24—1182no—
1185C24—1182no—
1186C24—2361no—
1187C24—2361no—
1188C24—2361no—
1189C24—2361no—
1190C24C23×D5911yescharacteristic
1191C24C23×D5911yescharacteristic
1192C2×Q8—1182no—
1193C2×Q8—2361no—
1194C2×Q8—2361no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—41no—
1198C2×D4—594no—
1199C2×D4—1182no—
1200C2×D4—1182no—
1201C2×D4—1182no—
1202C2×D4—1182no—
1203C2×D4—1182no—
1204C2×D4—1182no—
1205C2×D4—1182no—
1206C2×D4—1182no—
1207C2×D4—1182no—
1208C2×D4—1182no—
1209C2×D4—1182no—
1210C2×D4—1182no—
1211C2×D4—1182no—
1212C2×D4—1182no—
1213C2×D4—1182no—
1214C2×D4—1182no—
1215C2×D4—1182no—
1216C2×D4—2361no—
1217C2×D4—2361no—
1218C2×D4—2361no—
1219C2×D4—2361no—
1220C2×D4—2361no—
1221C2×D4—2361no—
1222C2×D4—2361no—
1223C2×D4—2361no—
1224C2×D4—2361no—
1225C2×D4—2361no—
1226C2×D4—2361no—
1227C2×D4—2361no—
1228C2×D4—2361no—
1229C2×D4—2361no—
1230C2×D4—2361no—
1231C22×C4—22no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—591no—
1235C22×C4—591no—
1236C22×C4—591no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—591no—
1240C22×C4—591no—
1241C22×C4—591no—
1242C22×C4—591no—
1243C22×C4—591no—
1244C22×C4—591no—
1245C22×C4—591no—
1246C22×C4—1182no—
1247C22×C4—1182no—
1248C22×C4—1182no—
1249C22×C4—1182no—
1250C22×C4—1182no—
1251C22×C4—1182no—
1252C22×C4—1182no—
1253C22×C4—1182no—
1254C22×C4—1182no—
1255C22×C4—1182no—
1256C22×C4—1182no—
1257C22×C4—1182no—
1258C22×C4—1182no—
1259C22×C4—2361no—
1260C22×C4—2361no—
1261C22×C4—2361no—
1262C22×C4—2361no—
1263C22×C4—2361no—
1264C22×C4—2361no—
1265C22×C4—2361no—
1266C22×C4—2361no—
1267C22×C4—2361no—
1268C22×C4—2361no—
1269C22×C4—2361no—
1270C22×C4—2361no—
1271C22×C4—2361no—
1272C22×C4—2361no—
1273C22×C4—23616no—
1274C22×C4—2361no—
1275C22×C4—2361no—
1276C22×C4—2361no—
1277C22×C4C23×D5911yescharacteristic
1278C22×C4C23×D5911yescharacteristic
1279C22×C4C23×D5911yescharacteristic
1280C22×C4C23×D5911yescharacteristic
1281C22×C4C23×D5911yescharacteristic
1282C22×C4C23×D5911yescharacteristic
1283C22×C4C23×D5911yescharacteristic
1284C22×C4C23×D5911yescharacteristic
1285C22×C4C23×D5911yescharacteristic
1286C22×C4C23×D5911yescharacteristic
1287C22×C4C23×D5911yescharacteristic
1288C22×C4C23×D5911yescharacteristic
1289C22×C4C23×D5911yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—41no—
1296C4⋊C4—1182no—
1297C4⋊C4—1182no—
1298C4⋊C4—1182no—
1299C4⋊C4—1182no—
1300C4⋊C4—1182no—
1301C4⋊C4—1182no—
1302C4⋊C4—1182no—
1303C4⋊C4—1182no—
1304C4⋊C4—1182no—
1305C4⋊C4—1182no—
1306C4⋊C4—1182no—
1307C4⋊C4—2361no—
1308C4⋊C4—2361no—
1309C4⋊C4—2361no—
1310C4⋊C4—2361no—
1311C4⋊C4—2361no—
1312C4⋊C4—2361no—
1313C4⋊C4—2361no—
1314C4⋊C4—2361no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—22no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—594no—
1327C22⋊C4—594no—
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—2361no—
1347C22⋊C4—2361no—
1348C22⋊C4—2361no—
1349C22⋊C4—2361no—
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—
1367C42—22no—
1368C42—41no—
1369C42—41no—
1370C42—41no—
1371C42—1182no—
1372C42—1182no—
1373C42—1182no—
1374C42—1182no—
1375C42—1182no—
1376C42—1182no—
1377C42—2361no—
1378C42—2361no—
1379C42—2361no—
1380C42—2361no—
1381C42—2361no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—592no—
1396C23—592no—
1397C23—592no—
1398C23—1181no—
1399C23—1181no—
1400C23—1181no—
1401C23—1181no—
1402C23—1181no—
1403C23—1181no—
1404C23—1181no—
1405C23—1181no—
1406C23—1181no—
1407C23—1181no—
1408C23—1181no—
1409C23—1181no—
1410C23—1181no—
1411C23—1181no—
1412C23—1181no—
1413C23—1181no—
1414C23—1181no—
1415C23—1181no—
1416C23—1181no—
1417C23—1181no—
1418C23—1181no—
1419C23—1181no—
1420C23—1181no—
1421C23—1181no—
1422C23—1181no—
1423C23—2364no—
1424C23—2364no—
1425C23—2364no—
1426C23—2364no—
1427C23—2364no—
1428C23—2364no—
1429C23—2364no—
1430C23#41×D5912yes—
1431C23C24×D5911yescharacteristic
1432Q8—4722no—
1433D4—44no—
1434D4—4722no—
1435D4—2364no—
1436D4—2364no—
1437D4—2364no—
1438D4—2364no—
1439D4—2364no—
1440D4—2364no—
1441D4—2364no—
1442D4—2364no—
1443D4—2364no—
1444D4—2364no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—44no—
1482C2×C4—592no—
1483C2×C4—592no—
1484C2×C4—592no—
1485C2×C4—592no—
1486C2×C4—592no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—4722no—
1519C2×C4—4722no—
1520C2×C4—4722no—
1521C2×C4—4722no—
1522C2×C4—2364no—
1523C2×C4—2364no—
1524C2×C4—2364no—
1525C2×C4—2364no—
1526C2×C4—2364no—
1527C2×C4—2364no—
1528C2×C4#41×D5912yes—
1529C2×C4#41×D5912yes—
1530C2×C4#1427377312yes—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—1182no—
1546C22—1182no—
1547C22—1182no—
1548C22—1182no—
1549C22—1182no—
1550C22—1182no—
1551C22—1182no—
1552C22—1182no—
1553C22—1182no—
1554C22—23616no—
1555C22—2361no—
1556C22—2361no—
1557C22—2361no—
1558C22—2361no—
1559C22—2361no—
1560C22—2361no—
1561C22—2361no—
1562C22—2361no—
1563C22—2361no—
1564C22—2361no—
1565C22—2361no—
1566C22—2361no—
1567C22—2361no—
1568C22—2361no—
1569C22—2361no—
1570C22—2361no—
1571C22—2361no—
1572C22—2361no—
1573C22—2361no—
1574C22C2×#41×D5911yescharacteristic
1575C22C2×#41×D5911yescharacteristic
1576C22C2×#41×D5911yescharacteristic
1577C22H(5,𝔽2)×D5911yescharacteristic
1578C22H(5,𝔽2)×D5911yescharacteristic
1579C22C2×#1427377311yescharacteristic
1580C22#1683823811yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—1182no—
1595C4—1182no—
1596C4—1182no—
1597C4—1182no—
1598C4—1182no—
1599C4—2361no—
1600C4—2361no—
1601C4—2361no—
1602C4—2361no—
1603C4—2361no—
1604C4—2361no—
1605C4—2361no—
1606C2—42no—
1607C2—81no—
1608C2—4721no—
1609C2—2362no—
1610C2—2362no—
1611C2—2362no—
1612C2#2143769911yescharacteristic
1613C2#2143770211yescharacteristic
1614C2#2143770311yescharacteristic
1615C2#2143793111yescharacteristic
1616C2#2143794211yescharacteristic
1617C2#2143794411yescharacteristic
1618C2#2143824711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2595C2
prime radical#21430312C2
hypercenter#2595D59
hypocenterC59#60031
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2595

Complements

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

NH ≅ G/Ntype
1. #21430490C2semidirect
2. #21430482C2semidirect
3. #21430478C2semidirect
5. #21429726C2semidirect
6. #21429721C2semidirect
7. #21429685C2semidirect
8. #21429684C2semidirect
9. #21429611C2semidirect
10. #21429553C2semidirect
11. #21429548C2semidirect
12. #21429441C2semidirect
13. #21429231C2semidirect
14. #21429228C2semidirect
15. #21429065C2semidirect
16. #21428146C2semidirect
17. #21428144C2semidirect
18. #21428133C2semidirect
19. #21428127C2semidirect
20. #21428039C2semidirect
21. #21428031C2semidirect
22. #21427222C2semidirect
23. #21427212C2semidirect
24. #21427203C2semidirect
25. #21427157C2semidirect
26. #21427114C2semidirect
27. #21427109C2semidirect
28. #21426601C2semidirect
29. C4×#14273697C2semidirect
30. #21426597C2semidirect
31. C59×#2595C2semidirect
35. C2×#14273722C22semidirect
37. C2×#14273720C22semidirect
39. C2×#14273713C22semidirect
47. C2×C4×D236C22semidirect
55. C2×(C22⋊D59)⋊C4C22semidirect
56. C2×C4⋊C4×D59C22semidirect
57. #16837343C22semidirect
60. #16837336C22semidirect
61. #16837333C22semidirect
62. #16837331C22semidirect
69. #16837320C22semidirect
77. #16837317C22semidirect
85. #16837307C22semidirect
86. #16837306C22semidirect
87. #16837306C22semidirect
89. #16837303C22semidirect
92. #16837302C22semidirect
93. #16837302C22semidirect
94. #16837301C22semidirect
95. #16837299C22semidirect
96. #16837298C22semidirect
97. #16837297C22semidirect
99. #16837296C22semidirect
101. #16837294C22semidirect
104. #16837293C22semidirect
105. #16837293C22semidirect
108. #16837292C22semidirect
112. #16837291C22semidirect
113. #16837291C22semidirect
114. #16837289C22semidirect
115. #16837287C22semidirect
116. #16837287C22semidirect
117. #16837286C22semidirect
118. #16837285C22semidirect
119. #16837284C22semidirect
120. #16837284C22semidirect
121. #16837283C22semidirect
129. #16837280C22semidirect
131. #16837279C22semidirect
136. #16837278C22semidirect
137. #16837278C22semidirect
139. #16837277C22semidirect
144. #16837276C22semidirect
145. #16837276C22semidirect
149. #16837273C22semidirect
150. #16837264C22semidirect
151. #16837263C22semidirect
152. #16837261C22semidirect
156. C4⋊C4×Dic59C22semidirect
157. C4×Dic59⋊C4C22semidirect
158. C4×Dic59⋊C4C22semidirect
159. #16837253C22semidirect
164. C4×(C2×D59)⋊C4C22semidirect
169. #16837249C22semidirect
170. #16837248C22semidirect
171. #16837247C22semidirect
172. C59×#400C22semidirect
174. C59×#397C22semidirect
178. C59×#388C22semidirect
179. C59×#388C22semidirect
180. C59×#388C22semidirect
181. C59×#387C22semidirect
182. C59×#387C22semidirect
185. C4×C4⋊C4×C59C22semidirect
806. #2595D59semidirect
867. #400C2×D59semidirect
875. #397C2×D59semidirect
929. #388C2×D59semidirect
930. #388C2×D59semidirect
931. #388C2×D59semidirect
940. #387C2×D59semidirect
941. #387C2×D59semidirect
982. C4×C4⋊C4C2×D59semidirect
996. C59#60031semidirect

Maximal subgroups

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

subgroupindex
#214304902
#214304822
#214304782
#214303122
#214297262
#214297212
#214296852
#214296842
#214296112
#214295532
#214295482
#214294412
#214292312
#214292282
#214290652
#214281462
#214281442
#214281332
#214281272
#214280392
#214280312
#214272222
#214272122
#214272032
#214271572
#214271142
#214271092
#214266012
C4×#142736972
#214265972
C59×#25952
#6003159