Finite Group Databasebeta

← #28795597

Subgroups — #28795597

Order 15104.

2620 conjugacy classes of subgroups.

The subgroup lattice has 1812 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16838002C211yesmaximal, characteristic, complemented
2C2×#16837909C211yesmaximal, characteristic, complemented
3#21432387C211yesmaximal, characteristic, complemented
4#21432377C211yesmaximal, characteristic, complemented
5#21430611C211yesmaximal, characteristic, complemented
6#21430604C211yesmaximal, characteristic, complemented
7#21430557C211yesmaximal, characteristic, complemented
8#21430531C211yesmaximal, characteristic, complemented
9#21430512C211yesmaximal, characteristic, complemented
10#21430418C211yesmaximal, characteristic, complemented
11#21430392C211yesmaximal, characteristic, complemented
12#21430388C211yesmaximal, characteristic, complemented
13#21430361C211yesmaximal, characteristic, complemented
14#21430356C211yesmaximal, characteristic, complemented
15#21430342C211yesmaximal, characteristic, complemented
16#21430334C211yesmaximal, characteristic, complemented
17#21430334C211yesmaximal, characteristic, complemented
18#21430309C211yesmaximal, characteristic, complemented
19#21430307C211yesmaximal, characteristic, complemented
20#21430298C211yesmaximal, characteristic, complemented
21#21429984C211yesmaximal, characteristic, complemented
22#21429939C211yesmaximal, characteristic, complemented
23#21429770C211yesmaximal, characteristic, complemented
24#21429702C211yesmaximal, characteristic, complemented
25#21429659C211yesmaximal, characteristic, complemented
26#21429658C211yesmaximal, characteristic, complemented
27#21429058C211yesmaximal, characteristic, complemented
28#21428996C211yesmaximal, characteristic, complemented
29#21427700C211yesmaximal, characteristic, complemented
30#21426723C211yesmaximal, characteristic, complemented
31C59×#2431C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33#16838002—28no—
34C2×#14273723C2211yescharacteristic
35C2×#14273717C2211yescharacteristic, complemented
36#16837909—28no—
37C2×#14273712C2211yescharacteristic
38C2×#14273710C2211yescharacteristic, complemented
39C2×#14273709C2211yescharacteristic
40C2×#14273709C2211yescharacteristic
41C2×#14273708C2211yescharacteristic
42C2×#14273708C2211yescharacteristic
43C2×#14273708C2211yescharacteristic, complemented
44C2×#14273703C2211yescharacteristic
45C2×#14273703C2211yescharacteristic
46C2×#14273700C2211yescharacteristic
47C2×#14273700C2211yescharacteristic
48C2×#14273700C2211yescharacteristic
49C2×#14273699C2211yescharacteristic
50C2×#14273699C2211yescharacteristic
51C2×#14273699C2211yescharacteristic
52C2×#14273699C2211yescharacteristic
53C2×#14273699C2211yescharacteristic
54C2×#14273699C2211yescharacteristic
55C2×#14273699C2211yescharacteristic
56C2×#14273699C2211yescharacteristic, complemented
57C2×#14273699C2211yescharacteristic, complemented
58C2×#14273698C2211yescharacteristic
59C2×#14273698C2211yescharacteristic
60C2×#14273698C2211yescharacteristic, complemented
61C2×#14273697C2211yescharacteristic
62C2×#14273695C2211yescharacteristic
63C2×#14273695C2211yescharacteristic
64C2×#14273695C2211yescharacteristic
65C2×#14273695C2211yescharacteristic
66C2×C4×C22⋊D59C2211yescharacteristic
67C2×C4×C22⋊D59C2211yescharacteristic
68C2×C4×C22⋊D59C2211yescharacteristic
69C2×C4×C22⋊D59C2211yescharacteristic
70C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
71C2×#14273686C2211yescharacteristic
72C2×#14273683C2211yescharacteristic, complemented
73#16837344C2211yescharacteristic, complemented
74#16837343C2211yescharacteristic, complemented
75#16837343C2211yescharacteristic, complemented
76#16837338C2211yescharacteristic
77#16837338C2211yescharacteristic, complemented
78#16837338C2211yescharacteristic, complemented
79#16837336C2211yescharacteristic, complemented
80#16837336C2211yescharacteristic, complemented
81#16837333C2211yescharacteristic, complemented
82#16837331C2211yescharacteristic
83#16837331C2211yescharacteristic
84#16837330C2211yescharacteristic, complemented
85#16837328C2211yescharacteristic
86#16837327C2211yescharacteristic, complemented
87#16837325C2211yescharacteristic
88#16837325C2211yescharacteristic, complemented
89#16837325C2211yescharacteristic, complemented
90#16837325C2211yescharacteristic, complemented
91#16837321C2211yescharacteristic, complemented
92#16837320C2211yescharacteristic
93#16837318C2211yescharacteristic
94#16837318C2211yescharacteristic
95#16837318C2211yescharacteristic
96#16837318C2211yescharacteristic, complemented
97#16837318C2211yescharacteristic, complemented
98#16837317C2211yescharacteristic
99#16837317C2211yescharacteristic
100#16837317C2211yescharacteristic, complemented
101#16837316C2211yescharacteristic
102#16837316C2211yescharacteristic
103#16837316C2211yescharacteristic, complemented
104#16837316C2211yescharacteristic, complemented
105#16837313C2211yescharacteristic, complemented
106#16837311C2211yescharacteristic
107#16837311C2211yescharacteristic
108#16837311C2211yescharacteristic
109#16837310C2211yescharacteristic
110#16837310C2211yescharacteristic
111#16837310C2211yescharacteristic
112#16837310C2211yescharacteristic
113#16837310C2211yescharacteristic
114#16837310C2211yescharacteristic
115#16837310C2211yescharacteristic, complemented
116#16837310C2211yescharacteristic, complemented
117#16837304C2211yescharacteristic
118#16837300C2211yescharacteristic, complemented
119#16837296C2211yescharacteristic
120#16837295C2211yescharacteristic, complemented
121#16837294C2211yescharacteristic, complemented
122#16837293C2211yescharacteristic
123#16837293C2211yescharacteristic
124#16837293C2211yescharacteristic
125#16837293C2211yescharacteristic, complemented
126#16837291C2211yescharacteristic
127#16837290C2211yescharacteristic, complemented
128#16837290C2211yescharacteristic, complemented
129#16837289C2211yescharacteristic, complemented
130#16837287C2211yescharacteristic, complemented
131#16837286C2211yescharacteristic, complemented
132#16837286C2211yescharacteristic, complemented
133#16837282C2211yescharacteristic
134#16837282C2211yescharacteristic
135#16837282C2211yescharacteristic
136#16837282C2211yescharacteristic
137#16837282C2211yescharacteristic, complemented
138#16837282C2211yescharacteristic, complemented
139#16837282C2211yescharacteristic, complemented
140#16837282C2211yescharacteristic, complemented
141#16837281C2211yescharacteristic
142#16837281C2211yescharacteristic, complemented
143#16837280C2211yescharacteristic
144#16837280C2211yescharacteristic
145#16837279C2211yescharacteristic
146#16837279C2211yescharacteristic
147#16837279C2211yescharacteristic
148#16837278C2211yescharacteristic
149#16837278C2211yescharacteristic
150#16837278C2211yescharacteristic
151#16837278C2211yescharacteristic
152#16837278C2211yescharacteristic
153#16837277C2211yescharacteristic
154#16837277C2211yescharacteristic, complemented
155#16837277C2211yescharacteristic, complemented
156#16837276C2211yescharacteristic
157#16837276C2211yescharacteristic
158#16837276C2211yescharacteristic, complemented
159#16837275C2211yescharacteristic
160#16837275C2211yescharacteristic, complemented
161#16837274C2211yescharacteristic, complemented
162#16837274C2211yescharacteristic, complemented
163#16837269C2211yescharacteristic, complemented
164#16837266C2211yescharacteristic, complemented
165#16837264C2211yescharacteristic
166#16837264C2211yescharacteristic
167#16837261C2211yescharacteristic
168#16837261C2211yescharacteristic
169#16837261C2211yescharacteristic, complemented
170#16837260C2211yescharacteristic
171#16837260C2211yescharacteristic, complemented
172#16837257C2211yescharacteristic
173C2×C59⋊#95C2211yescharacteristic, complemented
174C22×#41×C59C2211yescharacteristic
175C2×#127×C59C2211yescharacteristic
176C2×#124×C59C2211yescharacteristic, complemented
177C2×#121×C59C2211yescharacteristic, complemented
178C59×#392C2211yescharacteristic
179C59×#392C2211yescharacteristic
180C59×#392C2211yescharacteristic, complemented
181C59×#392C2211yescharacteristic, complemented
182C59×#391C2211yescharacteristic, complemented
183C59×#390C2211yescharacteristic
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic
186C59×#386C2211yescharacteristic, complemented
187C59×#386C2211yescharacteristic, complemented
188C4×C22⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×C22⋊D59C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C22×C22⋊D59C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C22×C4×D59—24no—
211C22×C4×D59—42no—
212C22×C4×D59—42no—
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218#14273723—24no—
219#14273717—24no—
220#14273712—24no—
221#14273710—24no—
222#14273709—24no—
223#14273709—42no—
224#14273708—24no—
225#14273708—24no—
226#14273708—24no—
227#14273703—24no—
228#14273703—24no—
229#14273700—24no—
230#14273700—42no—
231#14273700—42no—
232#14273699—24no—
233#14273699—24no—
234#14273699—24no—
235#14273699—42no—
236#14273699—42no—
237#14273699—42no—
238#14273699—42no—
239#14273699—42no—
240#14273699—42no—
241#14273698—24no—
242#14273698—24no—
243#14273698—24no—
244#14273697—42no—
245#14273695—24no—
246#14273695—24no—
247#14273695—42no—
248#14273695—42no—
249C4×C22⋊D59—24no—
250C4×C22⋊D59—24no—
251C4×C22⋊D59—24no—
252C4×C22⋊D59D418yescomplemented
253(C22⋊D59)⋊C4—24no—
254#14273686—24no—
255#14273683—24no—
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
260C2×C4⋊Dic59C2311yescharacteristic
261C2×C4⋊Dic59C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×Dic59⋊C4C2311yescharacteristic
274C2×Dic59⋊C4C2311yescharacteristic
275C2×Dic59⋊C4C2311yescharacteristic
276C2×Dic59⋊C4C2311yescharacteristic
277C2×Dic59⋊C4C2311yescharacteristic
278C2×Dic59⋊C4C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×C22⋊Dic59C2311yescharacteristic
290C2×C22⋊Dic59C2311yescharacteristic
291C2×C22⋊Dic59C2311yescharacteristic
292C2×C22⋊Dic59C2311yescharacteristic
293C2×C22⋊Dic59C2311yescharacteristic
294C2×C22⋊Dic59C2311yescharacteristic
295C2×C22⋊Dic59C2311yescharacteristic
296C2×C22⋊Dic59C2311yescharacteristic
297C2×C22⋊Dic59C2311yescharacteristic
298C2×C22⋊Dic59C2311yescharacteristic
299C2×C22⋊Dic59C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C2×(C2×D59)⋊C4C2311yescharacteristic
316C2×(C2×D59)⋊C4C2311yescharacteristic
317C2×(C2×D59)⋊C4C2311yescharacteristic
318C2×(C2×D59)⋊C4C2311yescharacteristic
319C2×(C2×D59)⋊C4C2311yescharacteristic
320C2×(C2×D59)⋊C4C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
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
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C2×#41×C59—24no—
351C2×#41×C59—42no—
352C2×#41×C59—42no—
353C22×Q8×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C22×D4×C59C2311yescharacteristic
357C22×D4×C59C2311yescharacteristic
358C22×D4×C59C2311yescharacteristic
359C22×D4×C59C2311yescharacteristic
360C22×D4×C59C2311yescharacteristic
361C22×D4×C59C2311yescharacteristic
362C22×D4×C59C2311yescharacteristic
363C22×D4×C59C2311yescharacteristic
364C23×C4×C59C2311yescharacteristic
365C23×C4×C59C2311yescharacteristic
366C23×C4×C59C2311yescharacteristic
367#127×C59—42no—
368#124×C59—42no—
369#121×C59—24no—
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C42×C59C2311yescharacteristic
384C2×C42×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C24×C59C2411yescharacteristic
394C24×C59C2411yescharacteristic
395C24×C59C2411yescharacteristic
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—22no—
399C23×D59—41no—
400C23×D59—41no—
401C23×D59—41no—
402C23×D59—41no—
403C23×D59C2411yescharacteristic
404C23×D59C2411yescharacteristic
405C23×D59C2411yescharacteristic
406#41×C59—416no—
407C2×Q8×C59—22no—
408C2×Q8×C59—22no—
409C2×Q8×C59—41no—
410C2×D4×C59—22no—
411C2×D4×C59—22no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—22no—
417C2×D4×C59—22no—
418C2×D4×C59—22no—
419C2×D4×C59—22no—
420C2×D4×C59—22no—
421C2×D4×C59—41no—
422C2×D4×C59—41no—
423C2×D4×C59—41no—
424C2×D4×C59—41no—
425C2×D4×C59—41no—
426C2×D4×C59—41no—
427C2×D4×C59—41no—
428C2×D4×C59—41no—
429C2×D4×C59—41no—
430C2×D4×C59—41no—
431C2×D4×C59—41no—
432C2×D4×C59—41no—
433C2×D4×C59—41no—
434C2×D4×C59—41no—
435C2×D4×C59—41no—
436C2×D4×C59—41no—
437C2×D4×C59—41no—
438C2×D4×C59—41no—
439C2×D4×C59—41no—
440C22×C4×C59—22no—
441C22×C4×C59—22no—
442C22×C4×C59—22no—
443C22×C4×C59—22no—
444C22×C4×C59—41no—
445C22×C4×C59—41no—
446C22×C4×C59—41no—
447C22×C4×C59—41no—
448C22×C4×C59C2×D414yes—
449C22×C4×C59C2411yescharacteristic
450C22×C4×C59C2411yescharacteristic
451C22×C4×C59C2411yescharacteristic
452C22×C4×C59C2411yescharacteristic
453C22×C4×C59C2411yescharacteristic
454C22×C4×C59C2411yescharacteristic
455C22×C4×C59C2411yescharacteristic
456C22×C4×C59C2411yescharacteristic
457C22×C4×C59C2411yescharacteristic
458C22×C4×C59C2411yescharacteristic
459C2×C22⋊D59—22no—
460C2×C22⋊D59—22no—
461C2×C22⋊D59—22no—
462C2×C22⋊D59—22no—
463C2×C22⋊D59—22no—
464C2×C22⋊D59—22no—
465C2×C22⋊D59—22no—
466C2×C22⋊D59—22no—
467C2×C22⋊D59—22no—
468C2×C22⋊D59—22no—
469C2×C22⋊D59—22no—
470C2×C22⋊D59—22no—
471C2×C22⋊D59—22no—
472C2×C22⋊D59—41no—
473C2×C22⋊D59—41no—
474C2×C22⋊D59—41no—
475C2×C22⋊D59—41no—
476C2×C22⋊D59—41no—
477C2×C22⋊D59—41no—
478C2×C22⋊D59—41no—
479C2×C22⋊D59—41no—
480C2×C22⋊D59—41no—
481C2×C22⋊D59—41no—
482C2×C22⋊D59—41no—
483C2×C22⋊D59—41no—
484C2×C22⋊D59—41no—
485C2×C22⋊D59—41no—
486C2×C22⋊D59—41no—
487C2×C22⋊D59—41no—
488C2×C22⋊D59—41no—
489C2×C22⋊D59—41no—
490C2×C22⋊D59—41no—
491C2×C22⋊D59—41no—
492C2×C22⋊D59—41no—
493C2×C22⋊D59—41no—
494C2×C22⋊D59—41no—
495C2×C22⋊D59—41no—
496C2×C22⋊D59—41no—
497C2×C22⋊D59C2×D414yes—
498C22×Dic59—22no—
499C22×Dic59—22no—
500C22×Dic59—22no—
501C22×Dic59—22no—
502C22×Dic59—41no—
503C22×Dic59—41no—
504C22×Dic59—41no—
505C22×Dic59—41no—
506C22×Dic59—41no—
507C22×Dic59—41no—
508C22×Dic59—41no—
509C22×Dic59—41no—
510C22×Dic59—41no—
511C22×Dic59—41no—
512C22×Dic59—41no—
513C22×Dic59C2411yescharacteristic
514C22×Dic59C2411yescharacteristic
515C22×Dic59C2411yescharacteristic
516C22×Dic59C2411yescharacteristic
517C22×Dic59C2411yescharacteristic
518C22×Dic59C2411yescharacteristic
519C22×Dic59C2411yescharacteristic
520C22×Dic59C2411yescharacteristic
521C22×Dic59C2411yescharacteristic
522C22×Dic59C2411yescharacteristic
523C22×Dic59C2411yescharacteristic
524C22×Dic59C2411yescharacteristic
525C22×Dic59C2411yescharacteristic
526C2×D236—22no—
527C2×D236—22no—
528C2×D236—41no—
529C2×D236—41no—
530C2×D236—41no—
531C2×D236—41no—
532C2×C4×D59—22no—
533C2×C4×D59—22no—
534C2×C4×D59—22no—
535C2×C4×D59—22no—
536C2×C4×D59—22no—
537C2×C4×D59—22no—
538C2×C4×D59—41no—
539C2×C4×D59—41no—
540C2×C4×D59—41no—
541C2×C4×D59—41no—
542C2×C4×D59—41no—
543C2×C4×D59—41no—
544C2×C4×D59—416no—
545C2×C4×D59—41no—
546C2×C4×D59—41no—
547C2×C4×D59C2×D414yes—
548C4⋊C4×C59—22no—
549C22⋊C4×C59—22no—
550C22⋊C4×C59—22no—
551C22⋊C4×C59—22no—
552C22⋊C4×C59—22no—
553C22⋊C4×C59—41no—
554C22⋊C4×C59—41no—
555C22⋊C4×C59—41no—
556C22⋊C4×C59—41no—
557C22⋊C4×C59—41no—
558C22⋊C4×C59—41no—
559C22⋊C4×C59—41no—
560C22⋊C4×C59—41no—
561C42×C59—41no—
562C42×C59—41no—
563C22⋊Dic59—22no—
564C22⋊Dic59—22no—
565C22⋊Dic59—22no—
566C22⋊Dic59—22no—
567C22⋊Dic59—22no—
568C22⋊Dic59—22no—
569C22⋊Dic59—22no—
570C22⋊Dic59—22no—
571C22⋊Dic59—22no—
572C22⋊Dic59—41no—
573C22⋊Dic59—41no—
574C22⋊Dic59—41no—
575C22⋊Dic59—41no—
576C22⋊Dic59—41no—
577C22⋊Dic59—41no—
578C22⋊Dic59—41no—
579C22⋊Dic59—41no—
580C22⋊Dic59—41no—
581C22⋊Dic59—41no—
582C22⋊Dic59—41no—
583C22⋊Dic59C2×D414yes—
584(C2×D59)⋊C4—22no—
585(C2×D59)⋊C4—22no—
586(C2×D59)⋊C4—22no—
587(C2×D59)⋊C4—22no—
588(C2×D59)⋊C4—22no—
589(C2×D59)⋊C4—22no—
590(C2×D59)⋊C4—22no—
591(C2×D59)⋊C4—22no—
592(C2×D59)⋊C4—22no—
593(C2×D59)⋊C4—22no—
594(C2×D59)⋊C4—41no—
595(C2×D59)⋊C4—41no—
596(C2×D59)⋊C4—41no—
597(C2×D59)⋊C4—41no—
598(C2×D59)⋊C4—41no—
599(C2×D59)⋊C4—41no—
600(C2×D59)⋊C4—41no—
601(C2×D59)⋊C4—41no—
602(C2×D59)⋊C4—41no—
603(C2×D59)⋊C4—41no—
604(C2×D59)⋊C4C2×D414yes—
605C4⋊Dic59—22no—
606C4⋊Dic59—22no—
607C4⋊Dic59—22no—
608C4⋊Dic59—41no—
609C4⋊Dic59—41no—
610C4⋊Dic59—41no—
611Dic59⋊C4—22no—
612Dic59⋊C4—22no—
613Dic59⋊C4—22no—
614Dic59⋊C4—22no—
615Dic59⋊C4—22no—
616Dic59⋊C4—22no—
617Dic59⋊C4—22no—
618Dic59⋊C4—22no—
619Dic59⋊C4—22no—
620Dic59⋊C4—41no—
621Dic59⋊C4—41no—
622Dic59⋊C4—41no—
623Dic59⋊C4—41no—
624Dic59⋊C4—41no—
625Dic59⋊C4—41no—
626Dic59⋊C4—41no—
627Dic59⋊C4C2×D414yes—
628C4×Dic59—22no—
629C4×Dic59—22no—
630C4×Dic59C2×D414yes—
631C23×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—21no—
636C23×C59—21no—
637C23×C59—21no—
638C23×C59—21no—
639C23×C59—21no—
640C23×C59—21no—
641C23×C59—21no—
642C23×C59—21no—
643C23×C59—21no—
644C23×C59—21no—
645C23×C59—21no—
646C23×C59—21no—
647C23×C59—21no—
648C23×C59—21no—
649C23×C59—21no—
650C23×C59—21no—
651C23×C59—21no—
652C23×C59—21no—
653C23×C59—21no—
654C23×C59—21no—
655C23×C59—21no—
656C23×C59—21no—
657C23×C59—21no—
658C23×C59—21no—
659C23×C59—21no—
660C23×C59—21no—
661C23×C59—21no—
662C23×C59—21no—
663C23×C59—21no—
664C23×C59C22×D412yes—
665C23×C59H(5,𝔽2)12yes—
666C23×C59C2511yescharacteristic
667C22×D59—21no—
668C22×D59—21no—
669C22×D59—21no—
670C22×D59—21no—
671C22×D59—21no—
672C22×D59—21no—
673C22×D59—21no—
674C22×D59—21no—
675C22×D59—21no—
676C22×D59—21no—
677C22×D59—21no—
678C22×D59—21no—
679C22×D59—21no—
680C22×D59—21no—
681C22×D59—21no—
682C22×D59—21no—
683C22×D59—21no—
684C22×D59—21no—
685C22×D59—21no—
686C22×D59—44no—
687C22×D59—44no—
688C22×D59—44no—
689C22×D59—44no—
690C22×D59—44no—
691C22×D59—44no—
692C22×D59—44no—
693C22×D59C22×D412yes—
694C22×D59H(5,𝔽2)12yes—
695Q8×C59—44no—
696D4×C59—44no—
697D4×C59—44no—
698D4×C59—44no—
699D4×C59—82no—
700D4×C59—82no—
701D4×C59—82no—
702D4×C59—82no—
703D4×C59—82no—
704D4×C59—82no—
705D4×C59—82no—
706C2×C4×C59—28no—
707C2×C4×C59—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—21no—
719C2×C4×C59—21no—
720C2×C4×C59—21no—
721C2×C4×C59—21no—
722C2×C4×C59—21no—
723C2×C4×C59—21no—
724C2×C4×C59—21no—
725C2×C4×C59—21no—
726C2×C4×C59—21no—
727C2×C4×C59—21no—
728C2×C4×C59—21no—
729C2×C4×C59—21no—
730C2×C4×C59—21no—
731C2×C4×C59—21no—
732C2×C4×C59—21no—
733C2×C4×C59—21no—
734C2×C4×C59—44no—
735C2×C4×C59—44no—
736C2×C4×C59C22×D412yes—
737C2×C4×C59C22×D412yes—
738C2×C4×C59H(5,𝔽2)12yes—
739C22⋊D59—44no—
740C22⋊D59—44no—
741C22⋊D59—44no—
742C22⋊D59—44no—
743C22⋊D59—44no—
744C22⋊D59—82no—
745C22⋊D59—82no—
746C22⋊D59—82no—
747C22⋊D59—82no—
748C22⋊D59—82no—
749C22⋊D59—82no—
750C22⋊D59—82no—
751C22⋊D59—82no—
752C2×Dic59—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—21no—
765C2×Dic59—21no—
766C2×Dic59—21no—
767C2×Dic59—21no—
768C2×Dic59—21no—
769C2×Dic59—21no—
770C2×Dic59—21no—
771C2×Dic59—21no—
772C2×Dic59—21no—
773C2×Dic59—21no—
774C2×Dic59—21no—
775C2×Dic59—21no—
776C2×Dic59—21no—
777C2×Dic59—21no—
778C2×Dic59—21no—
779C2×Dic59—21no—
780C2×Dic59—21no—
781C2×Dic59—21no—
782C2×Dic59—21no—
783C2×Dic59—21no—
784C2×Dic59—21no—
785C2×Dic59—21no—
786C2×Dic59—21no—
787C2×Dic59—21no—
788C2×Dic59—44no—
789C2×Dic59—44no—
790C2×Dic59—82no—
791C2×Dic59—82no—
792C2×Dic59—82no—
793C2×Dic59C22×D412yes—
794C2×Dic59C22×D412yes—
795C2×Dic59C22×D412yes—
796D236—82no—
797D236—82no—
798C4×D59—44no—
799C4×D59—44no—
800C4×D59—44no—
801C4×D59—44no—
802C4×D59—82no—
803#36713—591nomaximal, Sylow
804C22×C59—22no—
805C22×C59—22no—
806C22×C59—22no—
807C22×C59—22no—
808C22×C59—22no—
809C22×C59—22no—
810C22×C59—41no—
811C22×C59—41no—
812C22×C59—41no—
813C22×C59—41no—
814C22×C59—41no—
815C22×C59—41no—
816C22×C59—41no—
817C22×C59—41no—
818C22×C59—41no—
819C22×C59—41no—
820C22×C59—41no—
821C22×C59—41no—
822C22×C59—41no—
823C22×C59—41no—
824C22×C59—41no—
825C22×C59—41no—
826C22×C59—41no—
827C22×C59—41no—
828C22×C59—41no—
829C22×C59—41no—
830C22×C59—41no—
831C22×C59—41no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59—41no—
839C22×C59C23×D411yescharacteristic
840C22×C59C2×H(5,𝔽2)11yescharacteristic
841C22×C59C2×H(5,𝔽2)11yescharacteristic
842C22×C59C2×H(5,𝔽2)11yescharacteristic
843C22×C59#58511yescharacteristic
844C22×C59#58511yescharacteristic
845C22×C59#58511yescharacteristic
846C2×D59—22no—
847C2×D59—22no—
848C2×D59—22no—
849C2×D59—22no—
850C2×D59—22no—
851C2×D59—22no—
852C2×D59—416no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—41no—
858C2×D59—41no—
859C2×D59—41no—
860C2×D59—41no—
861C2×D59—41no—
862C2×D59—41no—
863C2×D59—41no—
864C2×D59—41no—
865C2×D59—41no—
866C2×D59—41no—
867C2×D59—41no—
868C4×C59—22no—
869C4×C59—22no—
870C4×C59—22no—
871C4×C59—41no—
872C4×C59—41no—
873C4×C59—41no—
874C4×C59—41no—
875C4×C59—41no—
876C4×C59—41no—
877C4×C59—41no—
878Dic59—22no—
879Dic59—22no—
880Dic59—22no—
881Dic59—41no—
882Dic59—41no—
883Dic59—41no—
884Dic59—41no—
885Dic59—41no—
886Dic59—41no—
887Dic59—41no—
888Dic59—41no—
889Dic59—41no—
890Dic59—41no—
891C2×#540—591no—
892C2×#525—591no—
893#2849—591no—
894#2847—591no—
895#2694—591no—
896#2693—591no—
897#2690—591no—
898#2688—591no—
899#2687—591no—
900#2678—591no—
901#2676—591no—
902#2675—591no—
903#2673—591no—
904#2673—591no—
905#2672—591no—
906#2671—591no—
907#2671—591no—
908#2669—591no—
909#2669—591no—
910#2668—591no—
911#2635—591no—
912#2630—591no—
913#2609—591no—
914#2602—591no—
915#2598—591no—
916#2598—591no—
917#2543—591no—
918#2535—591no—
919#2431D5911yescharacteristic, complemented
920#2430—591no—
921#2318—591no—
922C2×C59—42no—
923C2×C59—42no—
924C2×C59—81no—
925C2×C59—81no—
926C2×C59—81no—
927C2×C59#344911yescharacteristic
928C2×C59#348411yescharacteristic
929C2×C59#348811yescharacteristic
930C2×C59#353311yescharacteristic
931C2×C59#353411yescharacteristic
932C2×C59#353911yescharacteristic
933C2×C59#354211yescharacteristic
934D59—42no—
935D59—42no—
936D59—81no—
937C22×#41C2×D5911yescharacteristic
938C24×C4—591no—
939#540—1188no—
940C2×#127—591no—
941C2×#127C2×D5911yescharacteristic
942C2×#125—591no—
943C2×#124C2×D5911yescharacteristic, complemented
944#525—1188no—
945C2×#123—591no—
946C2×#123—591no—
947C2×#123—591no—
948C2×#123—591no—
949C2×#123—591no—
950C2×#123—591no—
951C2×#123—591no—
952C2×C22⋊Q8—591no—
953C2×C22⋊Q8—591no—
954C2×#121—591no—
955C2×#121—591no—
956C2×#121—591no—
957C2×#121—591no—
958C2×#121—591no—
959C2×#121—591no—
960C2×#121—591no—
961C2×#121—591no—
962C2×#121—591no—
963C2×#121—591no—
964C2×#121—591no—
965C2×#121—591no—
966C2×#121—591no—
967C2×#121—591no—
968C2×#121—591no—
969C2×#121C2×D5911yescharacteristic, complemented
970C2×#120—591no—
971C2×#120—591no—
972C2×#120—591no—
973C2×#120—591no—
974C2×#120—591no—
975C2×C4×D4—591no—
976C2×C4×D4—591no—
977C2×C4×D4—591no—
978C2×C4×D4—591no—
979C2×C4×D4—591no—
980C2×#117—591no—
981C2×#117—591no—
982#400—591no—
983#400—591no—
984#400—591no—
985#399—591no—
986#399—591no—
987#399—591no—
988#398—591no—
989#398—591no—
990#398—591no—
991#397—591no—
992#397—591no—
993#397—591no—
994#397—591no—
995#397—591no—
996#396—591no—
997#396—591no—
998#396—591no—
999#396—591no—
1000#395—591no—
1001#394—591no—
1002#394—591no—
1003#394—591no—
1004#394—591no—
1005#394—591no—
1006#394—591no—
1007#394—591no—
1008#394—591no—
1009#394—591no—
1010#394—591no—
1011#394—591no—
1012#394—591no—
1013#394—591no—
1014#393—591no—
1015#392—591no—
1016#392—591no—
1017#392—591no—
1018#392—591no—
1019#392—591no—
1020#392—591no—
1021#392—591no—
1022#392—591no—
1023#392—591no—
1024#392—591no—
1025#392—591no—
1026#392C2×D5911yescharacteristic
1027#392C2×D5911yescharacteristic
1028#392C2×D5911yescharacteristic, complemented
1029#392C2×D5911yescharacteristic, complemented
1030#391C2×D5911yescharacteristic, complemented
1031#390—591no—
1032#390C2×D5911yescharacteristic
1033#389—591no—
1034#388—591no—
1035#388—591no—
1036#388—591no—
1037#388—591no—
1038#388—591no—
1039#388—591no—
1040#388—591no—
1041#388—591no—
1042#388—591no—
1043#388—591no—
1044#387—591no—
1045#387—591no—
1046#387—591no—
1047#387—591no—
1048#386—591no—
1049#386—591no—
1050#386—591no—
1051#386—591no—
1052#386—591no—
1053#386—591no—
1054#386—591no—
1055#386—591no—
1056#386—591no—
1057#386—591no—
1058#386—591no—
1059#386—591no—
1060#386—591no—
1061#386—591no—
1062#386—591no—
1063#386—591no—
1064#386—591no—
1065#386—591no—
1066#386—591no—
1067#386—591no—
1068#386C2×D5911yescharacteristic
1069#386C2×D5911yescharacteristic
1070#386C2×D5911yescharacteristic, complemented
1071#386C2×D5911yescharacteristic, complemented
1072#385—591no—
1073#385—591no—
1074#385—591no—
1075#385—591no—
1076#385—591no—
1077#385—591no—
1078#385—591no—
1079#385—591no—
1080#385—591no—
1081#385—591no—
1082#383—591no—
1083#382—591no—
1084#381—591no—
1085#381—591no—
1086#380—591no—
1087#380—591no—
1088#380—591no—
1089#380—591no—
1090#380—591no—
1091#379—591no—
1092C4×C22⋊C4C2×D5911yescharacteristic, complemented
1093C2×#95—591no—
1094C59#3671311yescharacteristic, complemented, Sylow
1095C25—591no—
1096C2×#41—24no—
1097C2×#41—42no—
1098C2×#41—42no—
1099C22×Q8C22×D5911yescharacteristic
1100C22×D4—591no—
1101C22×D4—591no—
1102C22×D4—591no—
1103C22×D4—591no—
1104C22×D4—591no—
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—591no—
1109C22×D4—591no—
1110C22×D4—591no—
1111C22×D4—591no—
1112C22×D4—591no—
1113C22×D4—591no—
1114C22×D4—591no—
1115C22×D4C22×D5911yescharacteristic
1116C22×D4C22×D5911yescharacteristic
1117C22×D4C22×D5911yescharacteristic
1118C22×D4C22×D5911yescharacteristic
1119C22×D4C22×D5911yescharacteristic
1120C22×D4C22×D5911yescharacteristic
1121C22×D4C22×D5911yescharacteristic
1122C22×D4C22×D5911yescharacteristic
1123C22×D4C22×D5911yescharacteristic
1124C22×D4C22×D5911yescharacteristic
1125C23×C4—591no—
1126C23×C4—591no—
1127C23×C4—591no—
1128C23×C4—591no—
1129C23×C4—591no—
1130C23×C4—591no—
1131C23×C4—591no—
1132C23×C4—591no—
1133C23×C4—591no—
1134C23×C4—591no—
1135C23×C4—1184no—
1136C23×C4—2362no—
1137C23×C4—2362no—
1138C23×C4C22×D5911yescharacteristic
1139C23×C4C22×D5911yescharacteristic
1140C23×C4C22×D5911yescharacteristic
1141#127—42no—
1142#127—1184no—
1143#125—1184no—
1144#124—42no—
1145#123—1184no—
1146#123—1184no—
1147#123—1184no—
1148#123—1184no—
1149#123—1184no—
1150#123—1184no—
1151#123—2362no—
1152C22⋊Q8—1184no—
1153C22⋊Q8—1184no—
1154#121—24no—
1155#121—1184no—
1156#121—1184no—
1157#121—1184no—
1158#121—1184no—
1159#121—1184no—
1160#121—1184no—
1161#121—1184no—
1162#121—2362no—
1163#121—2362no—
1164#121—2362no—
1165#121—2362no—
1166#121—2362no—
1167#121—2362no—
1168#121—2362no—
1169#121—2362no—
1170#120—1184no—
1171#120—1184no—
1172#120—2362no—
1173#120—2362no—
1174#120—2362no—
1175C4×D4—598no—
1176C4×D4—1184no—
1177C4×D4—1184no—
1178C4×D4—1184no—
1179C4×D4—1184no—
1180#117—1184no—
1181#117—1184no—
1182C2×C4⋊C4—591no—
1183C2×C4⋊C4—591no—
1184C2×C4⋊C4—591no—
1185C2×C4⋊C4—591no—
1186C2×C4⋊C4—591no—
1187C2×C4⋊C4—591no—
1188C2×C4⋊C4—591no—
1189C2×C4⋊C4—591no—
1190C2×C4⋊C4—591no—
1191C2×C4⋊C4—591no—
1192C2×C4⋊C4—591no—
1193C2×C4⋊C4—591no—
1194C2×C4⋊C4—591no—
1195C2×C4⋊C4—591no—
1196C2×C4⋊C4—591no—
1197C2×C4⋊C4—591no—
1198C2×C4⋊C4—591no—
1199C2×C4⋊C4—591no—
1200C2×C4⋊C4—591no—
1201C2×C4⋊C4—591no—
1202C2×C4⋊C4—591no—
1203C2×C4⋊C4—591no—
1204C2×C4⋊C4—591no—
1205C2×C4⋊C4C22×D5911yescharacteristic
1206C2×C22⋊C4—591no—
1207C2×C22⋊C4—591no—
1208C2×C22⋊C4—591no—
1209C2×C22⋊C4—591no—
1210C2×C22⋊C4—591no—
1211C2×C22⋊C4—591no—
1212C2×C22⋊C4—591no—
1213C2×C22⋊C4—591no—
1214C2×C22⋊C4—591no—
1215C2×C22⋊C4—591no—
1216C2×C22⋊C4—591no—
1217C2×C22⋊C4—591no—
1218C2×C22⋊C4—591no—
1219C2×C22⋊C4—591no—
1220C2×C22⋊C4—591no—
1221C2×C22⋊C4—591no—
1222C2×C22⋊C4—591no—
1223C2×C22⋊C4—591no—
1224C2×C22⋊C4—591no—
1225C2×C22⋊C4—591no—
1226C2×C22⋊C4—591no—
1227C2×C22⋊C4—591no—
1228C2×C22⋊C4—591no—
1229C2×C22⋊C4—591no—
1230C2×C22⋊C4—591no—
1231C2×C22⋊C4—591no—
1232C2×C22⋊C4—591no—
1233C2×C22⋊C4—591no—
1234C2×C22⋊C4—591no—
1235C2×C22⋊C4—591no—
1236C2×C22⋊C4—591no—
1237C2×C22⋊C4—591no—
1238C2×C22⋊C4—591no—
1239C2×C22⋊C4—591no—
1240C2×C22⋊C4—591no—
1241C2×C22⋊C4—591no—
1242C2×C22⋊C4—591no—
1243C2×C22⋊C4—591no—
1244C2×C22⋊C4—591no—
1245C2×C22⋊C4—591no—
1246C2×C22⋊C4—591no—
1247C2×C22⋊C4—591no—
1248C2×C22⋊C4C22×D5911yescharacteristic
1249C2×C22⋊C4C22×D5911yescharacteristic
1250C2×C22⋊C4C22×D5911yescharacteristic
1251C2×C22⋊C4C22×D5911yescharacteristic
1252C2×C22⋊C4C22×D5911yescharacteristic
1253C2×C22⋊C4C22×D5911yescharacteristic
1254C2×C22⋊C4C22×D5911yescharacteristic
1255C2×C22⋊C4C22×D5911yescharacteristic
1256C2×C22⋊C4C22×D5911yescharacteristic
1257C2×C22⋊C4C22×D5911yescharacteristic
1258C2×C22⋊C4C22×D5911yescharacteristic
1259C2×C22⋊C4C22×D5911yescharacteristic
1260C2×C42—591no—
1261C2×C42—591no—
1262C2×C42—591no—
1263C2×C42C22×D5911yescharacteristic
1264C2×C42C22×D5911yescharacteristic
1265#95—591no—
1266#95—591no—
1267#95—591no—
1268#95—591no—
1269#95—591no—
1270#95—591no—
1271#95—591no—
1272#95—591no—
1273#95—591no—
1274#95—591no—
1275#95—591no—
1276#95—591no—
1277#95—591no—
1278#95—591no—
1279#95—591no—
1280#95—591no—
1281#95—591no—
1282#95—591no—
1283#95—591no—
1284#95—591no—
1285#95—591no—
1286#95—591no—
1287#95—591no—
1288#95—591no—
1289#95—591no—
1290#95—591no—
1291#95C22×D5911yescharacteristic
1292#95C22×D5911yescharacteristic
1293#95C22×D5911yescharacteristic
1294#95C22×D5911yescharacteristic
1295#95C22×D5911yescharacteristic
1296#95C22×D5911yescharacteristic
1297C24—591no—
1298C24—591no—
1299C24—591no—
1300C24—1182no—
1301C24—1182no—
1302C24—1182no—
1303C24—2361no—
1304C24—2361no—
1305C24—2361no—
1306C24—2361no—
1307C24C23×D5911yescharacteristic
1308C24C23×D5911yescharacteristic
1309C24C23×D5911yescharacteristic
1310C24C23×D5911yescharacteristic
1311C24C23×D5911yescharacteristic
1312#41—416no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—41no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—22no—
1322C2×D4—22no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—41no—
1328C2×D4—41no—
1329C2×D4—41no—
1330C2×D4—41no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—41no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—594no—
1347C2×D4—1182no—
1348C2×D4—1182no—
1349C2×D4—1182no—
1350C2×D4—1182no—
1351C2×D4—1182no—
1352C2×D4—1182no—
1353C2×D4—1182no—
1354C2×D4—1182no—
1355C2×D4—1182no—
1356C2×D4—1182no—
1357C2×D4—1182no—
1358C2×D4—1182no—
1359C2×D4—1182no—
1360C2×D4—1182no—
1361C2×D4—1182no—
1362C2×D4—2361no—
1363C2×D4—2361no—
1364C2×D4—2361no—
1365C2×D4—2361no—
1366C2×D4—2361no—
1367C2×D4—2361no—
1368C2×D4—2361no—
1369C2×D4—2361no—
1370C2×D4—2361no—
1371C2×D4—2361no—
1372C2×D4—2361no—
1373C2×D4—2361no—
1374C2×D4—2361no—
1375C2×D4—2361no—
1376C2×D4—2361no—
1377C2×D4—2361no—
1378C2×D4—2361no—
1379C2×D4—2361no—
1380C2×D4—2361no—
1381C2×D4—2361no—
1382C2×D4—2361no—
1383C2×D4—2361no—
1384C2×D4—2361no—
1385C2×D4—2361no—
1386C2×D4—2361no—
1387C2×D4—2361no—
1388C2×D4—2361no—
1389C2×D4—2361no—
1390C2×D4—2361no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—591no—
1400C22×C4—591no—
1401C22×C4—591no—
1402C22×C4—594no—
1403C22×C4—591no—
1404C22×C4—591no—
1405C22×C4—591no—
1406C22×C4—591no—
1407C22×C4—591no—
1408C22×C4—591no—
1409C22×C4—591no—
1410C22×C4—591no—
1411C22×C4—591no—
1412C22×C4—591no—
1413C22×C4—1182no—
1414C22×C4—1182no—
1415C22×C4—1182no—
1416C22×C4—1182no—
1417C22×C4—1182no—
1418C22×C4—1182no—
1419C22×C4—1182no—
1420C22×C4—1182no—
1421C22×C4—1182no—
1422C22×C4—1182no—
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—23616no—
1432C22×C4—2361no—
1433C22×C4—2361no—
1434C22×C4—2361no—
1435C22×C4—2361no—
1436C22×C4—2361no—
1437C22×C4—2361no—
1438C22×C4—2361no—
1439C22×C4—2361no—
1440C22×C4—2361no—
1441C22×C4—2361no—
1442C22×C4—2361no—
1443C22×C4D4×D5914yes—
1444C22×C4C23×D5911yescharacteristic
1445C22×C4C23×D5911yescharacteristic
1446C22×C4C23×D5911yescharacteristic
1447C22×C4C23×D5911yescharacteristic
1448C22×C4C23×D5911yescharacteristic
1449C22×C4C23×D5911yescharacteristic
1450C22×C4C23×D5911yescharacteristic
1451C22×C4C23×D5911yescharacteristic
1452C22×C4C23×D5911yescharacteristic
1453C22×C4C23×D5911yescharacteristic
1454C4⋊C4—22no—
1455C4⋊C4—594no—
1456C4⋊C4—1182no—
1457C4⋊C4—1182no—
1458C4⋊C4—1182no—
1459C4⋊C4—1182no—
1460C4⋊C4—1182no—
1461C4⋊C4—1182no—
1462C4⋊C4—1182no—
1463C4⋊C4—1182no—
1464C4⋊C4—1182no—
1465C4⋊C4—1182no—
1466C4⋊C4—1182no—
1467C4⋊C4—1182no—
1468C4⋊C4—2361no—
1469C4⋊C4—2361no—
1470C4⋊C4—2361no—
1471C4⋊C4—2361no—
1472C4⋊C4—2361no—
1473C4⋊C4—2361no—
1474C4⋊C4—2361no—
1475C4⋊C4—2361no—
1476C4⋊C4—2361no—
1477C4⋊C4—2361no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—22no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—594no—
1491C22⋊C4—594no—
1492C22⋊C4—1182no—
1493C22⋊C4—1182no—
1494C22⋊C4—1182no—
1495C22⋊C4—1182no—
1496C22⋊C4—1182no—
1497C22⋊C4—1182no—
1498C22⋊C4—1182no—
1499C22⋊C4—1182no—
1500C22⋊C4—1182no—
1501C22⋊C4—1182no—
1502C22⋊C4—1182no—
1503C22⋊C4—1182no—
1504C22⋊C4—1182no—
1505C22⋊C4—1182no—
1506C22⋊C4—1182no—
1507C22⋊C4—1182no—
1508C22⋊C4—1182no—
1509C22⋊C4—1182no—
1510C22⋊C4—1182no—
1511C22⋊C4—2361no—
1512C22⋊C4—2361no—
1513C22⋊C4—2361no—
1514C22⋊C4—2361no—
1515C22⋊C4—2361no—
1516C22⋊C4—2361no—
1517C22⋊C4—2361no—
1518C22⋊C4—2361no—
1519C22⋊C4—2361no—
1520C22⋊C4—2361no—
1521C22⋊C4—2361no—
1522C22⋊C4—2361no—
1523C22⋊C4—2361no—
1524C22⋊C4—2361no—
1525C22⋊C4—2361no—
1526C22⋊C4—2361no—
1527C22⋊C4—2361no—
1528C22⋊C4—2361no—
1529C22⋊C4—2361no—
1530C22⋊C4—2361no—
1531C22⋊C4—2361no—
1532C42—41no—
1533C42—41no—
1534C42—594no—
1535C42—1182no—
1536C42—1182no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—592no—
1571C23—592no—
1572C23—1181no—
1573C23—1181no—
1574C23—1181no—
1575C23—1181no—
1576C23—1181no—
1577C23—1181no—
1578C23—1181no—
1579C23—1181no—
1580C23—1181no—
1581C23—1181no—
1582C23—1181no—
1583C23—1181no—
1584C23—1181no—
1585C23—1181no—
1586C23—1181no—
1587C23—1181no—
1588C23—1181no—
1589C23—1181no—
1590C23—1181no—
1591C23—2364no—
1592C23—2364no—
1593C23—2364no—
1594C23—2364no—
1595C23—2364no—
1596C23—2364no—
1597C23—2364no—
1598C23C2×D4×D5912yes—
1599C23#1427377212yes—
1600C23C24×D5911yescharacteristic
1601Q8—44no—
1602D4—44no—
1603D4—44no—
1604D4—44no—
1605D4—82no—
1606D4—82no—
1607D4—82no—
1608D4—82no—
1609D4—82no—
1610D4—82no—
1611D4—82no—
1612D4—4722no—
1613D4—4722no—
1614D4—4722no—
1615D4—4722no—
1616D4—4722no—
1617D4—4722no—
1618D4—4722no—
1619D4—4722no—
1620D4—4722no—
1621D4—4722no—
1622D4—2364no—
1623D4—2364no—
1624D4—2364no—
1625D4—2364no—
1626D4—2364no—
1627C2×C4—28no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—592no—
1658C2×C4—592no—
1659C2×C4—592no—
1660C2×C4—1181no—
1661C2×C4—1181no—
1662C2×C4—1181no—
1663C2×C4—1181no—
1664C2×C4—1181no—
1665C2×C4—1181no—
1666C2×C4—1181no—
1667C2×C4—1181no—
1668C2×C4—1181no—
1669C2×C4—1181no—
1670C2×C4—1181no—
1671C2×C4—1181no—
1672C2×C4—1181no—
1673C2×C4—1181no—
1674C2×C4—1181no—
1675C2×C4—1181no—
1676C2×C4—1181no—
1677C2×C4—1181no—
1678C2×C4—1181no—
1679C2×C4—1181no—
1680C2×C4—1181no—
1681C2×C4—1181no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—1181no—
1691C2×C4—1181no—
1692C2×C4—1181no—
1693C2×C4—1181no—
1694C2×C4—1181no—
1695C2×C4—1181no—
1696C2×C4—4722no—
1697C2×C4—4722no—
1698C2×C4—4722no—
1699C2×C4—4722no—
1700C2×C4—2364no—
1701C2×C4—2364no—
1702C2×C4—2364no—
1703C2×C4—2364no—
1704C2×C4—2364no—
1705C2×C4—2364no—
1706C2×C4C2×D4×D5912yes—
1707C2×C4C2×D4×D5912yes—
1708C2×C4#1427377212yes—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—22no—
1714C22—22no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—1182no—
1745C22—1182no—
1746C22—1182no—
1747C22—1182no—
1748C22—1182no—
1749C22—1182no—
1750C22—23616no—
1751C22—2361no—
1752C22—2361no—
1753C22—2361no—
1754C22—2361no—
1755C22—2361no—
1756C22—2361no—
1757C22—2361no—
1758C22—2361no—
1759C22—2361no—
1760C22—2361no—
1761C22—2361no—
1762C22—2361no—
1763C22—2361no—
1764C22—2361no—
1765C22—2361no—
1766C22C22×D4×D5911yescharacteristic
1767C22H(5,𝔽2)×D5911yescharacteristic
1768C22C2×#1427377211yescharacteristic
1769C22C2×#1427377211yescharacteristic
1770C22#1683823711yescharacteristic
1771C22#1683823811yescharacteristic
1772C22#1683823811yescharacteristic
1773C4—22no—
1774C4—22no—
1775C4—22no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—1182no—
1784C4—1182no—
1785C4—1182no—
1786C4—2361no—
1787C4—2361no—
1788C4—2361no—
1789C4—2361no—
1790C4—2361no—
1791C4—2361no—
1792C4—2361no—
1793C4—2361no—
1794C4—2361no—
1795C4—2361no—
1796C2—42no—
1797C2—42no—
1798C2—81no—
1799C2—81no—
1800C2—81no—
1801C2—4721no—
1802C2—2362no—
1803C2—2362no—
1804C2#2143742311yescharacteristic
1805C2#2143772511yescharacteristic
1806C2#2143776311yescharacteristic
1807C2#2143825511yescharacteristic
1808C2#2143827811yescharacteristic
1809C2#2143834711yescharacteristic
1810C2#2143840211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2431C2
hypercenter#2431D59
hypocenterC59#36713
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2431

Complements

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

NH ≅ G/Ntype
1. C2×#16838002C2semidirect
2. C2×#16837909C2semidirect
3. #21432387C2semidirect
4. #21432377C2semidirect
5. #21430611C2semidirect
6. #21430604C2semidirect
7. #21430557C2semidirect
8. #21430531C2semidirect
9. #21430512C2semidirect
10. #21430418C2semidirect
11. #21430392C2semidirect
12. #21430388C2semidirect
13. #21430361C2semidirect
14. #21430356C2semidirect
15. #21430342C2semidirect
16. #21430334C2semidirect
17. #21430334C2semidirect
18. #21430309C2semidirect
19. #21430307C2semidirect
20. #21430298C2semidirect
21. #21429984C2semidirect
22. #21429939C2semidirect
23. #21429770C2semidirect
24. #21429702C2semidirect
25. #21429659C2semidirect
26. #21429658C2semidirect
27. #21429058C2semidirect
28. #21428996C2semidirect
29. #21427700C2semidirect
30. #21426723C2semidirect
31. C59×#2431C2semidirect
35. C2×#14273717C22semidirect
38. C2×#14273710C22semidirect
43. C2×#14273708C22semidirect
56. C2×#14273699C22semidirect
57. C2×#14273699C22semidirect
60. C2×#14273698C22semidirect
70. C2×(C22⋊D59)⋊C4C22semidirect
72. C2×#14273683C22semidirect
73. #16837344C22semidirect
74. #16837343C22semidirect
75. #16837343C22semidirect
77. #16837338C22semidirect
78. #16837338C22semidirect
79. #16837336C22semidirect
80. #16837336C22semidirect
81. #16837333C22semidirect
84. #16837330C22semidirect
86. #16837327C22semidirect
88. #16837325C22semidirect
89. #16837325C22semidirect
90. #16837325C22semidirect
91. #16837321C22semidirect
96. #16837318C22semidirect
97. #16837318C22semidirect
100. #16837317C22semidirect
103. #16837316C22semidirect
104. #16837316C22semidirect
105. #16837313C22semidirect
115. #16837310C22semidirect
116. #16837310C22semidirect
118. #16837300C22semidirect
120. #16837295C22semidirect
121. #16837294C22semidirect
125. #16837293C22semidirect
127. #16837290C22semidirect
128. #16837290C22semidirect
129. #16837289C22semidirect
130. #16837287C22semidirect
131. #16837286C22semidirect
132. #16837286C22semidirect
137. #16837282C22semidirect
138. #16837282C22semidirect
139. #16837282C22semidirect
140. #16837282C22semidirect
142. #16837281C22semidirect
154. #16837277C22semidirect
155. #16837277C22semidirect
158. #16837276C22semidirect
160. #16837275C22semidirect
161. #16837274C22semidirect
162. #16837274C22semidirect
163. #16837269C22semidirect
164. #16837266C22semidirect
169. #16837261C22semidirect
171. #16837260C22semidirect
173. C2×C59⋊#95C22semidirect
176. C2×#124×C59C22semidirect
177. C2×#121×C59C22semidirect
180. C59×#392C22semidirect
181. C59×#392C22semidirect
182. C59×#391C22semidirect
186. C59×#386C22semidirect
187. C59×#386C22semidirect
188. C4×C22⋊C4×C59C22semidirect
252. C4×C22⋊D59D4semidirect
919. #2431D59semidirect
943. C2×#124C2×D59semidirect
969. C2×#121C2×D59semidirect
1028. #392C2×D59semidirect
1029. #392C2×D59semidirect
1030. #391C2×D59semidirect
1070. #386C2×D59semidirect
1071. #386C2×D59semidirect
1092. C4×C22⋊C4C2×D59semidirect
1094. C59#36713semidirect

Maximal subgroups

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

subgroupindex
C2×#168380022
C2×#168379092
#214323872
#214323772
#214306112
#214306042
#214305572
#214305312
#214305122
#214304182
#214303922
#214303882
#214303612
#214303562
#214303422
#214303342
#214303092
#214303072
#214302982
#214299842
#214299392
#214297702
#214297022
#214296592
#214296582
#214290582
#214289962
#214277002
#214267232
C59×#24312
#3671359