Finite Group Databasebeta

← #28758884

Subgroups — #28758884

Order 15104.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837937C211yesmaximal, characteristic, complemented
2C2×#16837915C211yesmaximal, characteristic, complemented
3#21429236C211yesmaximal, characteristic, complemented
4#21429229C211yesmaximal, characteristic, complemented
5#21429208C211yesmaximal, characteristic, complemented
6#21429201C211yesmaximal, characteristic, complemented
7#21429165C211yesmaximal, characteristic, complemented
8#21429150C211yesmaximal, characteristic, complemented
9#21429143C211yesmaximal, characteristic, complemented
10#21429101C211yesmaximal, characteristic, complemented
11#21429057C211yesmaximal, characteristic, complemented
12#21429023C211yesmaximal, characteristic, complemented
13#21428987C211yesmaximal, characteristic, complemented
14#21428429C211yesmaximal, characteristic, complemented
15#21428220C211yesmaximal, characteristic, complemented
16#21427654C211yesmaximal, characteristic, complemented
17#21427637C211yesmaximal, characteristic, complemented
18#21427373C211yesmaximal, characteristic, complemented
19#21427361C211yesmaximal, characteristic, complemented
20#21427341C211yesmaximal, characteristic, complemented
21#21427314C211yesmaximal, characteristic, complemented
22#21426637C211yesmaximal, characteristic, complemented
23#21426617C211yesmaximal, characteristic, complemented
24#21426608C211yesmaximal, characteristic, complemented
25#21426604C211yesmaximal, characteristic, complemented
26#21426597C211yesmaximal, characteristic, complemented
27#21426585C211yesmaximal, characteristic, complemented
28#21426554C211yesmaximal, characteristic, complemented
29C4×#14273689C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D59C211yesmaximal, characteristic, complemented
31C59×#2556C211yesmaximal, characteristic, complemented
32C22×#11745689C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34#16837937—28no—
35C2×#14273722C2211yescharacteristic, complemented
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273715C2211yescharacteristic, complemented
38C2×#14273713C2211yescharacteristic
39#16837915—28no—
40C2×#14273712C2211yescharacteristic
41C2×#14273712C2211yescharacteristic
42C2×#14273712C2211yescharacteristic
43C2×#14273712C2211yescharacteristic
44C2×#14273712C2211yescharacteristic
45C2×#14273707C2211yescharacteristic
46C2×#14273703C2211yescharacteristic
47C2×#14273702C2211yescharacteristic
48C2×#14273702C2211yescharacteristic
49C2×#14273702C2211yescharacteristic
50C2×#14273701C2211yescharacteristic
51C2×#14273700C2211yescharacteristic
52C2×#14273697C2211yescharacteristic
53C2×#14273697C2211yescharacteristic
54C2×#14273697C2211yescharacteristic
55C2×#14273692C2211yescharacteristic, complemented
56C2×C4×D236C2211yescharacteristic
57C2×#14273689C2211yescharacteristic
58C2×#14273689C2211yescharacteristic
59C2×#14273689C2211yescharacteristic
60C2×#14273689C2211yescharacteristic
61C2×#14273689C2211yescharacteristic
62C2×#14273689C2211yescharacteristic, complemented
63C2×#14273689C2211yescharacteristic, complemented
64C2×(C22⋊D59)⋊C4C2211yescharacteristic
65C2×(C22⋊D59)⋊C4C2211yescharacteristic
66C2×(C22⋊D59)⋊C4C2211yescharacteristic
67C2×#14273685C2211yescharacteristic
68C2×#14273685C2211yescharacteristic, complemented
69C2×#14273685C2211yescharacteristic, complemented
70C2×C22⋊C4×D59C2211yescharacteristic
71C2×C22⋊C4×D59C2211yescharacteristic
72C2×C42×D59C2211yescharacteristic
73C2×C42×D59C2211yescharacteristic
74C2×C42×D59C2211yescharacteristic, complemented
75#16837344C2211yescharacteristic, complemented
76#16837340C2211yescharacteristic, complemented
77#16837337C2211yescharacteristic
78#16837335C2211yescharacteristic, complemented
79#16837335C2211yescharacteristic, complemented
80#16837334C2211yescharacteristic, complemented
81#16837331C2211yescharacteristic, complemented
82#16837328C2211yescharacteristic, complemented
83#16837328C2211yescharacteristic, complemented
84#16837327C2211yescharacteristic
85#16837324C2211yescharacteristic
86#16837324C2211yescharacteristic
87#16837324C2211yescharacteristic, complemented
88#16837323C2211yescharacteristic, complemented
89#16837319C2211yescharacteristic
90#16837319C2211yescharacteristic
91#16837319C2211yescharacteristic, complemented
92#16837319C2211yescharacteristic, complemented
93#16837318C2211yescharacteristic
94#16837318C2211yescharacteristic
95#16837318C2211yescharacteristic
96#16837318C2211yescharacteristic
97#16837315C2211yescharacteristic
98#16837313C2211yescharacteristic, complemented
99#16837312C2211yescharacteristic
100#16837312C2211yescharacteristic
101#16837312C2211yescharacteristic, complemented
102#16837311C2211yescharacteristic
103#16837309C2211yescharacteristic, complemented
104#16837306C2211yescharacteristic, complemented
105#16837304C2211yescharacteristic
106#16837304C2211yescharacteristic
107#16837304C2211yescharacteristic, complemented
108#16837303C2211yescharacteristic
109#16837303C2211yescharacteristic
110#16837302C2211yescharacteristic
111#16837302C2211yescharacteristic
112#16837301C2211yescharacteristic, complemented
113#16837297C2211yescharacteristic, complemented
114#16837296C2211yescharacteristic
115#16837294C2211yescharacteristic
116#16837294C2211yescharacteristic, complemented
117#16837294C2211yescharacteristic, complemented
118#16837293C2211yescharacteristic, complemented
119#16837293C2211yescharacteristic, complemented
120#16837293C2211yescharacteristic, complemented
121#16837292C2211yescharacteristic
122#16837292C2211yescharacteristic, complemented
123#16837292C2211yescharacteristic, complemented
124#16837292C2211yescharacteristic, complemented
125#16837292C2211yescharacteristic, complemented
126#16837283C2211yescharacteristic, complemented
127#16837281C2211yescharacteristic
128#16837280C2211yescharacteristic
129#16837280C2211yescharacteristic
130#16837280C2211yescharacteristic
131#16837280C2211yescharacteristic
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic, complemented
136#16837280C2211yescharacteristic, complemented
137#16837280C2211yescharacteristic, complemented
138#16837278C2211yescharacteristic
139#16837276C2211yescharacteristic
140#16837273C2211yescharacteristic
141#16837273C2211yescharacteristic
142#16837266C2211yescharacteristic, complemented
143#16837264C2211yescharacteristic
144#16837261C2211yescharacteristic, complemented
145#16837259C2211yescharacteristic
146#16837257C2211yescharacteristic
147C4⋊C4×Dic59C2211yescharacteristic, complemented
148C4⋊C4×Dic59C2211yescharacteristic, complemented
149C4⋊C4×Dic59C2211yescharacteristic, complemented
150C4⋊C4×Dic59C2211yescharacteristic, complemented
151#16837253C2211yescharacteristic, complemented
152C22⋊C4×Dic59C2211yescharacteristic
153C22⋊C4×Dic59C2211yescharacteristic
154C22⋊C4×Dic59C2211yescharacteristic
155C4×(C2×D59)⋊C4C2211yescharacteristic
156C4×(C2×D59)⋊C4C2211yescharacteristic
157C4×(C2×D59)⋊C4C2211yescharacteristic
158C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
159C4×C22⋊Dic59C2211yescharacteristic
160#16837249C2211yescharacteristic
161#16837249C2211yescharacteristic
162#16837249C2211yescharacteristic
163#16837249C2211yescharacteristic
164#16837249C2211yescharacteristic
165#16837249C2211yescharacteristic, complemented
166#16837249C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic
172#95×D59C2211yescharacteristic
173C42×Dic59C2211yescharacteristic, complemented
174C2×#125×C59C2211yescharacteristic, complemented
175C2×C22⋊Q8×C59C2211yescharacteristic
176C59×#399C2211yescharacteristic
177C59×#398C2211yescharacteristic, complemented
178C59×#396C2211yescharacteristic
179C59×#395C2211yescharacteristic, complemented
180C59×#391C2211yescharacteristic, complemented
181C59×#389C2211yescharacteristic, complemented
182C59×#389C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic
184C59×#388C2211yescharacteristic
185C59×#387C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic
187C4×C4⋊C4×C59C2211yescharacteristic, complemented
188C4×C22⋊C4×C59C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C2×#11745689—24no—
191C2×#11745689—24no—
192C2×#11745689—42no—
193C22×Dic118C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×D236C2311yescharacteristic
199C22×D236C2311yescharacteristic
200C22×D236C2311yescharacteristic
201C22×D236C2311yescharacteristic
202C22×D236C2311yescharacteristic
203C22×C22⋊D59C2311yescharacteristic
204C22×C22⋊D59C2311yescharacteristic
205C22×C22⋊D59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C22×C4×D59—24no—
208C22×C4×D59—24no—
209C22×C4×D59—42no—
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222C22×C4×D59C2311yescharacteristic
223#14273722—24no—
224#14273722—24no—
225#14273715—24no—
226#14273713—24no—
227#14273712—24no—
228#14273712—24no—
229#14273712—24no—
230#14273712—24no—
231#14273712—24no—
232#14273707—24no—
233#14273703—24no—
234#14273702—24no—
235#14273702—24no—
236#14273702—24no—
237#14273701—24no—
238#14273700—24no—
239#14273697—24no—
240#14273697—24no—
241#14273697—24no—
242#14273692—24no—
243C4×D236—24no—
244#14273689—24no—
245#14273689—24no—
246#14273689—24no—
247#14273689—24no—
248#14273689—24no—
249#14273689—42no—
250#14273689D418yescomplemented
251(C22⋊D59)⋊C4—24no—
252(C22⋊D59)⋊C4—24no—
253(C22⋊D59)⋊C4—42no—
254#14273685—24no—
255#14273685—24no—
256#14273685—24no—
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
259C2×C4⋊Dic59C2311yescharacteristic
260C2×C4⋊Dic59C2311yescharacteristic
261C2×C4⋊Dic59C2311yescharacteristic
262C2×C4⋊Dic59C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(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
312C22⋊C4×D59—24no—
313C22⋊C4×D59—24no—
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
327C2×C4×Dic59C2311yescharacteristic
328C2×C4×Dic59C2311yescharacteristic
329C42×D59—24no—
330C42×D59—42no—
331C42×D59—42no—
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C22×Q8×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356#125×C59—24no—
357C22⋊Q8×C59—24no—
358C2×C4⋊C4×C59C2311yescharacteristic
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
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×C42×C59C2311yescharacteristic
378C2×C42×C59C2311yescharacteristic
379C2×C42×C59C2311yescharacteristic
380C2×C42×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C23×D59—22no—
393C23×D59—22no—
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—41no—
398C23×D59—41no—
399C23×D59C2411yescharacteristic
400C23×D59C2411yescharacteristic
401C23×D59C2411yescharacteristic
402C23×D59C2411yescharacteristic
403C23×D59C2411yescharacteristic
404C2×Q8×C59—22no—
405C2×Q8×C59—22no—
406C2×Q8×C59—41no—
407C22×C4×C59—22no—
408C22×C4×C59—22no—
409C22×C4×C59—41no—
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C22×C4×C59C2411yescharacteristic
417C22×C4×C59C2411yescharacteristic
418C22×C4×C59C2411yescharacteristic
419C22×C4×C59C2411yescharacteristic
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C2×C22⋊D59—22no—
425C2×C22⋊D59—22no—
426C2×C22⋊D59—22no—
427C2×C22⋊D59—22no—
428C2×C22⋊D59—22no—
429C2×C22⋊D59—22no—
430C2×C22⋊D59—41no—
431C2×C22⋊D59—41no—
432C2×C22⋊D59—41no—
433C22×Dic59—22no—
434C22×Dic59—22no—
435C22×Dic59—22no—
436C22×Dic59C2411yescharacteristic
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447#11745689—416no—
448C2×D236—22no—
449C2×D236—22no—
450C2×D236—22no—
451C2×D236—22no—
452C2×D236—22no—
453C2×D236—22no—
454C2×D236—22no—
455C2×D236—22no—
456C2×D236—22no—
457C2×D236—22no—
458C2×D236—22no—
459C2×D236—22no—
460C2×D236—22no—
461C2×D236—22no—
462C2×D236—22no—
463C2×D236—22no—
464C2×D236—22no—
465C2×D236—22no—
466C2×D236—22no—
467C2×D236—41no—
468C2×D236—41no—
469C2×D236—41no—
470C2×D236—41no—
471C2×D236—41no—
472C2×D236—41no—
473C2×D236—41no—
474C2×D236C2×D414yes—
475C2×C4×D59—22no—
476C2×C4×D59—22no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—22no—
480C2×C4×D59—22no—
481C2×C4×D59—22no—
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—22no—
485C2×C4×D59—22no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59—22no—
489C2×C4×D59—22no—
490C2×C4×D59—22no—
491C2×C4×D59—22no—
492C2×C4×D59—22no—
493C2×C4×D59—22no—
494C2×C4×D59—22no—
495C2×C4×D59—22no—
496C2×C4×D59—22no—
497C2×C4×D59—22no—
498C2×C4×D59—22no—
499C2×C4×D59—22no—
500C2×C4×D59—22no—
501C2×C4×D59—416no—
502C2×C4×D59—41no—
503C2×C4×D59—41no—
504C2×C4×D59—41no—
505C2×C4×D59—41no—
506C2×C4×D59—41no—
507C2×C4×D59—41no—
508C2×C4×D59—41no—
509C2×C4×D59—41no—
510C2×C4×D59—41no—
511C2×C4×D59C2×D414yes—
512C2×C4×D59C2×D414yes—
513C2×C4×D59#4114yes—
514C2×C4×D59#4114yescomplemented
515C2×Dic118—22no—
516C2×Dic118—22no—
517C2×Dic118—41no—
518C4⋊C4×C59—22no—
519C4⋊C4×C59—22no—
520C4⋊C4×C59—22no—
521C4⋊C4×C59—22no—
522C4⋊C4×C59—22no—
523C4⋊C4×C59—22no—
524C4⋊C4×C59—22no—
525C4⋊C4×C59—22no—
526C4⋊C4×C59—22no—
527C4⋊C4×C59—22no—
528C4⋊C4×C59—22no—
529C4⋊C4×C59—41no—
530C4⋊C4×C59C2×D414yes—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59—22no—
534C22⋊C4×C59—22no—
535C22⋊C4×C59—41no—
536C22⋊C4×C59#4114yescomplemented
537C42×C59—22no—
538C42×C59—22no—
539C42×C59—41no—
540C42×C59—41no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—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—22no—
559(C2×D59)⋊C4—22no—
560(C2×D59)⋊C4—22no—
561(C2×D59)⋊C4—22no—
562(C2×D59)⋊C4—22no—
563(C2×D59)⋊C4—22no—
564(C2×D59)⋊C4—22no—
565(C2×D59)⋊C4—22no—
566(C2×D59)⋊C4—22no—
567(C2×D59)⋊C4—22no—
568(C2×D59)⋊C4—22no—
569(C2×D59)⋊C4—22no—
570(C2×D59)⋊C4—22no—
571(C2×D59)⋊C4—22no—
572(C2×D59)⋊C4—22no—
573(C2×D59)⋊C4—22no—
574(C2×D59)⋊C4—22no—
575(C2×D59)⋊C4—41no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4—41no—
579(C2×D59)⋊C4—41no—
580(C2×D59)⋊C4C2×D414yes—
581(C2×D59)⋊C4C2×D414yes—
582(C2×D59)⋊C4#4114yescomplemented
583C4⋊Dic59—22no—
584C4⋊Dic59—22no—
585C4⋊Dic59—22no—
586C4⋊Dic59—22no—
587C4⋊Dic59—41no—
588C4⋊Dic59—41no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—22no—
592Dic59⋊C4—22no—
593Dic59⋊C4—22no—
594Dic59⋊C4—22no—
595Dic59⋊C4—41no—
596C4×Dic59—22no—
597C4×Dic59—22no—
598C4×Dic59—22no—
599C4×Dic59—22no—
600C4×Dic59—22no—
601C4×Dic59—22no—
602C4×Dic59—22no—
603C4×Dic59—22no—
604C4×Dic59—22no—
605C4×Dic59—22no—
606C4×Dic59—22no—
607C4×Dic59—41no—
608C4×Dic59—41no—
609C4×Dic59—41no—
610C4×Dic59C2×D414yes—
611C23×C59—21no—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59C2×#4112yes—
618C23×C59C2511yescharacteristic
619C22×D59—21no—
620C22×D59—21no—
621C22×D59—21no—
622C22×D59—21no—
623C22×D59—28no—
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—21no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—44no—
651C22×D59—44no—
652C22×D59—44no—
653C22×D59—44no—
654C22×D59—44no—
655C22×D59—44no—
656C22×D59C22×D412yes—
657C22×D59C22×D412yes—
658C22×D59C2×#4112yes—
659C22×D59C2×#4112yes—
660C22×D59C2×#4112yes—
661Q8×C59—44no—
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—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—44no—
697C2×C4×C59C22×D412yes—
698C2×C4×C59C22×D412yes—
699C2×C4×C59C22×D412yes—
700C2×C4×C59C2×#4112yes—
701C2×C4×C59C2×#4112yes—
702C2×C4×C59C2×#4112yes—
703C2×C4×C59C2×#4112yes—
704C2×C4×C59C2×#4112yes—
705C22⋊D59—44no—
706C22⋊D59—44no—
707C22⋊D59—44no—
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—21no—
735C2×Dic59—44no—
736C2×Dic59C22×D412yes—
737C2×Dic59C22×D412yes—
738C2×Dic59C2×#4112yes—
739C2×Dic59C2×#4112yes—
740C2×Dic59C2×#4112yes—
741C2×Dic59H(5,𝔽2)12yes—
742D236—28no—
743D236—44no—
744D236—44no—
745D236—44no—
746D236—44no—
747D236—44no—
748D236—44no—
749D236—44no—
750D236—44no—
751C4×D59—28no—
752C4×D59—28no—
753C4×D59—28no—
754C4×D59—44no—
755C4×D59—44no—
756C4×D59—44no—
757C4×D59—44no—
758C4×D59—44no—
759C4×D59—44no—
760C4×D59—44no—
761C4×D59—44no—
762C4×D59—44no—
763C4×D59—44no—
764Dic118—44no—
765#34829—591nomaximal, Sylow
766C22×C59—22no—
767C22×C59—22no—
768C22×C59—22no—
769C22×C59—41no—
770C22×C59—41no—
771C22×C59—41no—
772C22×C59—41no—
773C22×C59C23×D411yescharacteristic
774C22×C59C22×#4111yescharacteristic
775C22×C59C22×#4111yescharacteristic
776C22×C59C22×#4111yescharacteristic
777C22×C59C22×#4111yescharacteristic
778C22×C59C2×H(5,𝔽2)11yescharacteristic
779C22×C59#58511yescharacteristic
780C2×D59—22no—
781C2×D59—22no—
782C2×D59—22no—
783C2×D59—22no—
784C2×D59—22no—
785C2×D59—22no—
786C2×D59—22no—
787C2×D59—22no—
788C2×D59—22no—
789C2×D59—22no—
790C2×D59—22no—
791C2×D59—22no—
792C2×D59—416no—
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—41no—
814C2×D59—41no—
815C2×D59#53214yes—
816C4×C59—22no—
817C4×C59—22no—
818C4×C59—22no—
819C4×C59—22no—
820C4×C59—22no—
821C4×C59—22no—
822C4×C59—22no—
823C4×C59—22no—
824C4×C59—41no—
825C4×C59—41no—
826C4×C59—41no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830Dic59—22no—
831Dic59—22no—
832Dic59—22no—
833Dic59—41no—
834Dic59—41no—
835Dic59—41no—
836Dic59—41no—
837Dic59—41no—
838Dic59—41no—
839Dic59—41no—
840Dic59#54614yes—
841C2×#529—591no—
842C2×#525—591no—
843#2560—591no—
844#2559—591no—
845#2558—591no—
846#2557—591no—
847#2556D5911yescharacteristic, complemented
848#2555—591no—
849#2554—591no—
850#2553—591no—
851#2549—591no—
852#2543—591no—
853#2539—591no—
854#2534—591no—
855#2488—591no—
856#2472—591no—
857#2425—591no—
858#2424—591no—
859#2396—591no—
860#2395—591no—
861#2392—591no—
862#2388—591no—
863C4×#124—591no—
864C4×#123—591no—
865C4×#121—591no—
866C4×#121—591no—
867C4×#120—591no—
868#2297—591no—
869#2293—591no—
870C42×D4—591no—
871C2×C4×C22⋊C4—591no—
872C2×C59—42no—
873C2×C59C2×#53211yescharacteristic
874C2×C59#344411yescharacteristic
875C2×C59#345911yescharacteristic
876C2×C59C2×#54611yescharacteristic
877C2×C59D4×#4111yescharacteristic
878C2×C59#347511yescharacteristic
879C2×C59#348111yescharacteristic
880D59—24no—
881D59—42no—
882D59—42no—
883D59—81no—
884D59—81no—
885C22×#41—591no—
886C24×C4—591no—
887#529—1188no—
888C2×#126—591no—
889C2×#126—591no—
890C2×#125C2×D5911yescharacteristic, complemented
891C2×#124—591no—
892C2×#124—591no—
893#525—1188no—
894C2×#123—591no—
895C2×#123—591no—
896C2×#123—591no—
897C2×#123—591no—
898C2×#123—591no—
899C2×C22⋊Q8—591no—
900C2×C22⋊Q8—591no—
901C2×C22⋊Q8C2×D5911yescharacteristic
902C2×#121—591no—
903C2×#121—591no—
904C2×#121—591no—
905C2×#121—591no—
906C2×#121—591no—
907C2×#120—591no—
908C2×#120—591no—
909C2×#120—591no—
910C2×C4×Q8—591no—
911C2×C4×D4—591no—
912C2×C4×D4—591no—
913C2×C4×D4—591no—
914C2×C4×D4—591no—
915C2×C4×D4—591no—
916C2×C4×D4—591no—
917C2×C4×D4—591no—
918C2×C4×D4—591no—
919C2×C4×D4—591no—
920C2×C4×D4—591no—
921C2×C4×D4—591no—
922C2×#117—591no—
923C2×#117—591no—
924C2×#117—591no—
925C22×C22⋊C4—591no—
926C22×C22⋊C4—591no—
927C22×C42—591no—
928C22×C42—591no—
929C22×C42—591no—
930#400—591no—
931#400—591no—
932#399—591no—
933#399C2×D5911yescharacteristic
934#398—591no—
935#398—591no—
936#398—591no—
937#398C2×D5911yescharacteristic, complemented
938#397—591no—
939#397—591no—
940#397—591no—
941#397—591no—
942#396—591no—
943#396—591no—
944#396—591no—
945#396C2×D5911yescharacteristic
946#395—591no—
947#395C2×D5911yescharacteristic, complemented
948#394—591no—
949#394—591no—
950#394—591no—
951#394—591no—
952#394—591no—
953#394—591no—
954#394—591no—
955#394—591no—
956#393—591no—
957#393—591no—
958#392—591no—
959#392—591no—
960#392—591no—
961#392—591no—
962#391—591no—
963#391—591no—
964#391C2×D5911yescharacteristic, complemented
965#390—591no—
966#390—591no—
967#390—591no—
968#390—591no—
969#390—591no—
970#390—591no—
971#390—591no—
972#389—591no—
973#389—591no—
974#389C2×D5911yescharacteristic, complemented
975#389C2×D5911yescharacteristic, complemented
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388—591no—
981#388—591no—
982#388—591no—
983#388—591no—
984#388—591no—
985#388—591no—
986#388—591no—
987#388—591no—
988#388C2×D5911yescharacteristic
989#388C2×D5911yescharacteristic
990#387—591no—
991#387C2×D5911yescharacteristic, complemented
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385C2×D5911yescharacteristic
1008#382—591no—
1009#381—591no—
1010#380—591no—
1011#380—591no—
1012#379—591no—
1013C4×C4⋊C4—591no—
1014C4×C4⋊C4—591no—
1015C4×C4⋊C4—591no—
1016C4×C4⋊C4—591no—
1017C4×C4⋊C4—591no—
1018C4×C4⋊C4C2×D5911yescharacteristic, complemented
1019C4×C22⋊C4—591no—
1020C4×C22⋊C4—591no—
1021C4×C22⋊C4—591no—
1022C4×C22⋊C4—591no—
1023C4×C22⋊C4—591no—
1024C4×C22⋊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⋊C4—591no—
1038C4×C22⋊C4C2×D5911yescharacteristic
1039C2×#95—591no—
1040C2×#95—591no—
1041C43—591no—
1042C59#3482911yescharacteristic, complemented, Sylow
1043C25—591no—
1044C2×#41—1184no—
1045C2×#41—1184no—
1046C2×#41—2362no—
1047C22×Q8—591no—
1048C22×Q8C22×D5911yescharacteristic
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×D4—591no—
1060C22×D4—591no—
1061C23×C4—591no—
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×C4—591no—
1073C23×C4—591no—
1074C23×C4—591no—
1075C23×C4—1184no—
1076C23×C4—1184no—
1077C23×C4—2362no—
1078C23×C4C22×D5911yescharacteristic
1079#126—1184no—
1080#126—1184no—
1081#125—24no—
1082#124—1184no—
1083#124—1184no—
1084#123—1184no—
1085#123—1184no—
1086#123—1184no—
1087#123—1184no—
1088#123—1184no—
1089C22⋊Q8—24no—
1090C22⋊Q8—1184no—
1091C22⋊Q8—1184no—
1092#121—1184no—
1093#121—1184no—
1094#121—1184no—
1095#121—1184no—
1096#121—1184no—
1097#120—1184no—
1098#120—1184no—
1099#120—1184no—
1100C4×Q8—1184no—
1101C4×D4—598no—
1102C4×D4—1184no—
1103C4×D4—1184no—
1104C4×D4—1184no—
1105C4×D4—1184no—
1106C4×D4—1184no—
1107C4×D4—1184no—
1108C4×D4—1184no—
1109C4×D4—1184no—
1110C4×D4—2362no—
1111C4×D4—2362no—
1112#117—1184no—
1113#117—1184no—
1114#117—1184no—
1115C2×C4⋊C4—591no—
1116C2×C4⋊C4—591no—
1117C2×C4⋊C4—591no—
1118C2×C4⋊C4—591no—
1119C2×C4⋊C4—591no—
1120C2×C4⋊C4—591no—
1121C2×C4⋊C4—591no—
1122C2×C4⋊C4—591no—
1123C2×C4⋊C4—591no—
1124C2×C4⋊C4—591no—
1125C2×C4⋊C4—591no—
1126C2×C4⋊C4—591no—
1127C2×C4⋊C4—591no—
1128C2×C4⋊C4C22×D5911yescharacteristic
1129C2×C4⋊C4C22×D5911yescharacteristic
1130C2×C4⋊C4C22×D5911yescharacteristic
1131C2×C4⋊C4C22×D5911yescharacteristic
1132C2×C4⋊C4C22×D5911yescharacteristic
1133C2×C4⋊C4C22×D5911yescharacteristic
1134C2×C4⋊C4C22×D5911yescharacteristic
1135C2×C4⋊C4C22×D5911yescharacteristic
1136C2×C4⋊C4C22×D5911yescharacteristic
1137C2×C4⋊C4C22×D5911yescharacteristic
1138C2×C4⋊C4C22×D5911yescharacteristic
1139C2×C4⋊C4C22×D5911yescharacteristic
1140C2×C4⋊C4C22×D5911yescharacteristic
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—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—1184no—
1184C2×C22⋊C4—1184no—
1185C2×C22⋊C4C22×D5911yescharacteristic
1186C2×C22⋊C4C22×D5911yescharacteristic
1187C2×C22⋊C4C22×D5911yescharacteristic
1188C2×C22⋊C4C22×D5911yescharacteristic
1189C2×C22⋊C4C22×D5911yescharacteristic
1190C2×C22⋊C4C22×D5911yescharacteristic
1191C2×C42—591no—
1192C2×C42—591no—
1193C2×C42—591no—
1194C2×C42—591no—
1195C2×C42—591no—
1196C2×C42—591no—
1197C2×C42—591no—
1198C2×C42—591no—
1199C2×C42—591no—
1200C2×C42—591no—
1201C2×C42—591no—
1202C2×C42—591no—
1203C2×C42—591no—
1204C2×C42—591no—
1205C2×C42—591no—
1206C2×C42—1184no—
1207C2×C42—2362no—
1208C2×C42—2362no—
1209C2×C42C22×D5911yescharacteristic
1210C2×C42C22×D5911yescharacteristic
1211C2×C42C22×D5911yescharacteristic
1212C2×C42C22×D5911yescharacteristic
1213#95—591no—
1214#95—591no—
1215#95—591no—
1216#95—591no—
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#95—591no—
1222#95—591no—
1223#95—591no—
1224#95—591no—
1225#95—591no—
1226#95—591no—
1227#95—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95C22×D5911yescharacteristic
1236#95C22×D5911yescharacteristic
1237#95C22×D5911yescharacteristic
1238#95C22×D5911yescharacteristic
1239#95C22×D5911yescharacteristic
1240#95C22×D5911yescharacteristic
1241#95C22×D5911yescharacteristic
1242#95C22×D5911yescharacteristic
1243#95C22×D5911yescharacteristic
1244#95C22×D5911yescharacteristic
1245C24—591no—
1246C24—591no—
1247C24—591no—
1248C24—591no—
1249C24—591no—
1250C24—1182no—
1251C24—1182no—
1252C24—1182no—
1253C24—1182no—
1254C24—1182no—
1255C24—2361no—
1256C24—2361no—
1257C24C23×D5911yescharacteristic
1258#41—23616no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—41no—
1262C2×Q8—1182no—
1263C2×Q8—1182no—
1264C2×Q8—2361no—
1265C2×D4—594no—
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—1182no—
1275C2×D4—1182no—
1276C2×D4—1182no—
1277C2×D4—1182no—
1278C2×D4—1182no—
1279C2×D4—1182no—
1280C2×D4—1182no—
1281C2×D4—1182no—
1282C2×D4—1182no—
1283C2×D4—1182no—
1284C2×D4—1182no—
1285C2×D4—1182no—
1286C2×D4—1182no—
1287C2×D4—1182no—
1288C2×D4—1182no—
1289C2×D4—1182no—
1290C2×D4—1182no—
1291C2×D4—2361no—
1292C2×D4—2361no—
1293C2×D4—2361no—
1294C2×D4—2361no—
1295C2×D4—2361no—
1296C2×D4—2361no—
1297C2×D4—2361no—
1298C2×D4—2361no—
1299C2×D4—2361no—
1300C2×D4—2361no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—41no—
1304C22×C4—591no—
1305C22×C4—591no—
1306C22×C4—591no—
1307C22×C4—591no—
1308C22×C4—594no—
1309C22×C4—594no—
1310C22×C4—594no—
1311C22×C4—594no—
1312C22×C4—591no—
1313C22×C4—591no—
1314C22×C4—591no—
1315C22×C4—591no—
1316C22×C4—591no—
1317C22×C4—591no—
1318C22×C4—591no—
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—1182no—
1331C22×C4—1182no—
1332C22×C4—1182no—
1333C22×C4—1182no—
1334C22×C4—1182no—
1335C22×C4—1182no—
1336C22×C4—1182no—
1337C22×C4—1182no—
1338C22×C4—1182no—
1339C22×C4—1182no—
1340C22×C4—1182no—
1341C22×C4—1182no—
1342C22×C4—1182no—
1343C22×C4—1182no—
1344C22×C4—1182no—
1345C22×C4—1182no—
1346C22×C4—1182no—
1347C22×C4—1182no—
1348C22×C4—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—23616no—
1358C22×C4C23×D5911yescharacteristic
1359C22×C4C23×D5911yescharacteristic
1360C22×C4C23×D5911yescharacteristic
1361C22×C4C23×D5911yescharacteristic
1362C22×C4C23×D5911yescharacteristic
1363C22×C4C23×D5911yescharacteristic
1364C22×C4C23×D5911yescharacteristic
1365C22×C4C23×D5911yescharacteristic
1366C22×C4C23×D5911yescharacteristic
1367C22×C4C23×D5911yescharacteristic
1368C22×C4C23×D5911yescharacteristic
1369C22×C4C23×D5911yescharacteristic
1370C22×C4C23×D5911yescharacteristic
1371C22×C4C23×D5911yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—41no—
1384C4⋊C4—1182no—
1385C4⋊C4—1182no—
1386C4⋊C4—1182no—
1387C4⋊C4—1182no—
1388C4⋊C4—1182no—
1389C4⋊C4—1182no—
1390C4⋊C4—1182no—
1391C4⋊C4—1182no—
1392C4⋊C4—1182no—
1393C4⋊C4—1182no—
1394C4⋊C4—2361no—
1395C4⋊C4—2361no—
1396C4⋊C4—2361no—
1397C4⋊C4D4×D5914yes—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—41no—
1403C22⋊C4—594no—
1404C22⋊C4—594no—
1405C22⋊C4—594no—
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—1182no—
1420C22⋊C4—1182no—
1421C22⋊C4—1182no—
1422C22⋊C4—1182no—
1423C22⋊C4—1182no—
1424C22⋊C4—1182no—
1425C22⋊C4—1182no—
1426C22⋊C4—1182no—
1427C22⋊C4—1182no—
1428C22⋊C4—1182no—
1429C22⋊C4—1182no—
1430C22⋊C4—1182no—
1431C22⋊C4—1182no—
1432C22⋊C4—1182no—
1433C22⋊C4—1182no—
1434C22⋊C4—1182no—
1435C22⋊C4—1182no—
1436C22⋊C4—1182no—
1437C22⋊C4—1182no—
1438C22⋊C4—1182no—
1439C22⋊C4—1182no—
1440C22⋊C4—2361no—
1441C22⋊C4—2361no—
1442C22⋊C4—2361no—
1443C22⋊C4—2361no—
1444C22⋊C4—2361no—
1445C22⋊C4#1174568914yescomplemented
1446C42—22no—
1447C42—22no—
1448C42—41no—
1449C42—41no—
1450C42—594no—
1451C42—1182no—
1452C42—1182no—
1453C42—1182no—
1454C42—1182no—
1455C42—1182no—
1456C42—1182no—
1457C42—1182no—
1458C42—1182no—
1459C42—1182no—
1460C42—1182no—
1461C42—1182no—
1462C42—2361no—
1463C42—2361no—
1464C42—2361no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—592no—
1472C23—592no—
1473C23—592no—
1474C23—592no—
1475C23—592no—
1476C23—1188no—
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—1181no—
1496C23—1181no—
1497C23—1181no—
1498C23—1181no—
1499C23—1181no—
1500C23—1181no—
1501C23—1181no—
1502C23—1181no—
1503C23—1181no—
1504C23—1181no—
1505C23—1181no—
1506C23—1181no—
1507C23—2364no—
1508C23—2364no—
1509C23—2364no—
1510C23—2364no—
1511C23—2364no—
1512C23—2364no—
1513C23C2×#1174568912yes—
1514C23C24×D5911yescharacteristic
1515Q8—44no—
1516Q8—2364no—
1517D4—1188no—
1518D4—2364no—
1519D4—2364no—
1520D4—2364no—
1521D4—2364no—
1522D4—2364no—
1523D4—2364no—
1524D4—2364no—
1525D4—2364no—
1526D4—2364no—
1527D4—2364no—
1528D4—2364no—
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—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—44no—
1564C2×C4—592no—
1565C2×C4—592no—
1566C2×C4—592no—
1567C2×C4—592no—
1568C2×C4—592no—
1569C2×C4—592no—
1570C2×C4—1188no—
1571C2×C4—1188no—
1572C2×C4—1188no—
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—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—2364no—
1601C2×C4—2364no—
1602C2×C4—2364no—
1603C2×C4—2364no—
1604C2×C4—2364no—
1605C2×C4—2364no—
1606C2×C4—2364no—
1607C2×C4—2364no—
1608C2×C4—2364no—
1609C2×C4—2364no—
1610C2×C4—2364no—
1611C2×C4C2×D4×D5912yes—
1612C2×C4C2×D4×D5912yes—
1613C2×C4C2×D4×D5912yes—
1614C2×C4#41×D5912yes—
1615C2×C4#41×D5912yes—
1616C2×C4#41×D5912yes—
1617C2×C4C2×#1174568912yes—
1618C2×C4C2×#1174568912yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—594no—
1627C22—1182no—
1628C22—1182no—
1629C22—1182no—
1630C22—1182no—
1631C22—1182no—
1632C22—1182no—
1633C22—1182no—
1634C22—1182no—
1635C22—1182no—
1636C22—1182no—
1637C22—1182no—
1638C22—1182no—
1639C22—23616no—
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—
1658C22—2361no—
1659C22—2361no—
1660C22—2361no—
1661C22—2361no—
1662C22C22×D4×D5911yescharacteristic
1663C22C2×#41×D5911yescharacteristic
1664C22C2×#41×D5911yescharacteristic
1665C22C2×#41×D5911yescharacteristic
1666C22C22×#1174568911yescharacteristic
1667C22H(5,𝔽2)×D5911yescharacteristic
1668C22#1683823911yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—594no—
1684C4—1182no—
1685C4—1182no—
1686C4—1182no—
1687C4—2361no—
1688C4—2361no—
1689C4—2361no—
1690C4—2361no—
1691C4—2361no—
1692C4—2361no—
1693C4—2361no—
1694C2—42no—
1695C2—1184no—
1696C2—4721no—
1697C2—4721no—
1698C2—2362no—
1699C2—2362no—
1700C2#532×D5911yescharacteristic
1701C2#2143739311yescharacteristic
1702C2#2143750411yescharacteristic
1703C2#546×D5911yescharacteristic
1704C2D4×#1174568911yescharacteristic
1705C2#2143764911yescharacteristic
1706C2#2143770711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2556C2
hypercenter#2556D59
hypocenterC59#34829
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2556

Complements

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

NH ≅ G/Ntype
1. C2×#16837937C2semidirect
2. C2×#16837915C2semidirect
3. #21429236C2semidirect
4. #21429229C2semidirect
5. #21429208C2semidirect
6. #21429201C2semidirect
7. #21429165C2semidirect
8. #21429150C2semidirect
9. #21429143C2semidirect
10. #21429101C2semidirect
11. #21429057C2semidirect
12. #21429023C2semidirect
13. #21428987C2semidirect
14. #21428429C2semidirect
15. #21428220C2semidirect
16. #21427654C2semidirect
17. #21427637C2semidirect
18. #21427373C2semidirect
19. #21427361C2semidirect
20. #21427341C2semidirect
21. #21427314C2semidirect
22. #21426637C2semidirect
23. #21426617C2semidirect
24. #21426608C2semidirect
25. #21426604C2semidirect
26. #21426597C2semidirect
27. #21426585C2semidirect
28. #21426554C2semidirect
29. C4×#14273689C2semidirect
30. C4×C22⋊C4×D59C2semidirect
31. C59×#2556C2semidirect
35. C2×#14273722C22semidirect
36. C2×#14273722C22semidirect
37. C2×#14273715C22semidirect
55. C2×#14273692C22semidirect
62. C2×#14273689C22semidirect
63. C2×#14273689C22semidirect
68. C2×#14273685C22semidirect
69. C2×#14273685C22semidirect
74. C2×C42×D59C22semidirect
75. #16837344C22semidirect
76. #16837340C22semidirect
78. #16837335C22semidirect
79. #16837335C22semidirect
80. #16837334C22semidirect
81. #16837331C22semidirect
82. #16837328C22semidirect
83. #16837328C22semidirect
87. #16837324C22semidirect
88. #16837323C22semidirect
91. #16837319C22semidirect
92. #16837319C22semidirect
98. #16837313C22semidirect
101. #16837312C22semidirect
103. #16837309C22semidirect
104. #16837306C22semidirect
107. #16837304C22semidirect
112. #16837301C22semidirect
113. #16837297C22semidirect
116. #16837294C22semidirect
117. #16837294C22semidirect
118. #16837293C22semidirect
119. #16837293C22semidirect
120. #16837293C22semidirect
122. #16837292C22semidirect
123. #16837292C22semidirect
124. #16837292C22semidirect
125. #16837292C22semidirect
126. #16837283C22semidirect
135. #16837280C22semidirect
136. #16837280C22semidirect
137. #16837280C22semidirect
142. #16837266C22semidirect
144. #16837261C22semidirect
147. C4⋊C4×Dic59C22semidirect
148. C4⋊C4×Dic59C22semidirect
149. C4⋊C4×Dic59C22semidirect
150. C4⋊C4×Dic59C22semidirect
151. #16837253C22semidirect
158. C4×(C2×D59)⋊C4C22semidirect
165. #16837249C22semidirect
166. #16837249C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
173. C42×Dic59C22semidirect
174. C2×#125×C59C22semidirect
177. C59×#398C22semidirect
179. C59×#395C22semidirect
180. C59×#391C22semidirect
181. C59×#389C22semidirect
182. C59×#389C22semidirect
185. C59×#387C22semidirect
187. C4×C4⋊C4×C59C22semidirect
250. #14273689D4semidirect
514. C2×C4×D59#41semidirect
536. C22⋊C4×C59#41semidirect
582. (C2×D59)⋊C4#41semidirect
847. #2556D59semidirect
890. C2×#125C2×D59semidirect
937. #398C2×D59semidirect
947. #395C2×D59semidirect
964. #391C2×D59semidirect
974. #389C2×D59semidirect
975. #389C2×D59semidirect
991. #387C2×D59semidirect
1018. C4×C4⋊C4C2×D59semidirect
1042. C59#34829semidirect
1445. C22⋊C4#11745689semidirect

Maximal subgroups

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

subgroupindex
C2×#168379372
C2×#168379152
#214292362
#214292292
#214292082
#214292012
#214291652
#214291502
#214291432
#214291012
#214290572
#214290232
#214289872
#214284292
#214282202
#214276542
#214276372
#214273732
#214273612
#214273412
#214273142
#214266372
#214266172
#214266082
#214266042
#214265972
#214265852
#214265542
C4×#142736892
C4×C22⋊C4×D592
C59×#25562
#3482959