Finite Group Databasebeta

← #26388978

Subgroups — #26388978

Order 12032.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689715C211yesmaximal, characteristic, complemented
2#20251703C211yesmaximal, characteristic, complemented
3#20251698C211yesmaximal, characteristic, complemented
4#20251680C211yesmaximal, characteristic, complemented
5#20251675C211yesmaximal, characteristic, complemented
6#20249305C211yesmaximal, characteristic, complemented
7#20249283C211yesmaximal, characteristic, complemented
8#20249256C211yesmaximal, characteristic, complemented
9#20249225C211yesmaximal, characteristic, complemented
10#20247628C211yesmaximal, characteristic, complemented
11#20247523C211yesmaximal, characteristic, complemented
12#20247418C211yesmaximal, characteristic, complemented
13#20247379C211yesmaximal, characteristic, complemented
14#20247334C211yesmaximal, characteristic, complemented
15#20247265C211yesmaximal, characteristic, complemented
16#20247197C211yesmaximal, characteristic, complemented
17#20247191C211yesmaximal, characteristic, complemented
18#20247117C211yesmaximal, characteristic, complemented
19#20247049C211yesmaximal, characteristic, complemented
20#20246933C211yesmaximal, characteristic, complemented
21#20246859C211yesmaximal, characteristic, complemented
22#20246850C211yesmaximal, characteristic, complemented
23#20246778C211yesmaximal, characteristic, complemented
24#20246762C211yesmaximal, characteristic
25#20246711C211yesmaximal, characteristic, complemented
26#20246086C211yesmaximal, characteristic, complemented
27#20246053C211yesmaximal, characteristic, complemented
28#20246021C211yesmaximal, characteristic, complemented
29C4×#13093993C211yesmaximal, characteristic, complemented
30C2×#15688996C211yesmaximal, characteristic, complemented
31C22×C4×D4×C47C211yesmaximal, characteristic, complemented
32#15689715—28no—
33C2×#13094018C2211yescharacteristic, complemented
34C2×#13094017C2211yescharacteristic, complemented
35C2×#13094016C2211yescharacteristic, complemented
36C2×#13094014C2211yescharacteristic, complemented
37C2×#13094008C2211yescharacteristic, complemented
38C2×#13094007C2211yescharacteristic, complemented
39C2×#13094007C2211yescharacteristic, complemented
40C2×#13094006C2211yescharacteristic, complemented
41C2×#13094005C2211yescharacteristic
42C2×#13094005C2211yescharacteristic
43C2×#13094003C2211yescharacteristic
44C2×#13094003C2211yescharacteristic, complemented
45C2×#13094003C2211yescharacteristic, complemented
46C2×#13094002C2211yescharacteristic, complemented
47C2×#13094001C2211yescharacteristic, complemented
48C2×#13093996C2211yescharacteristic
49C2×#13093996C2211yescharacteristic
50C2×#13093993C2211yescharacteristic
51C2×#13093993C2211yescharacteristic
52C2×C4×C22⋊D47C2211yescharacteristic
53C2×C4×C22⋊D47C2211yescharacteristic, complemented
54C2×C4×C22⋊D47C2211yescharacteristic, complemented
55C22×Dic47⋊C4C2211yescharacteristic, complemented
56C22×Dic47⋊C4C2211yescharacteristic, complemented
57C22×C22⋊Dic47C2211yescharacteristic
58C22×C22⋊Dic47C2211yescharacteristic
59#15689061C2211yescharacteristic, complemented
60#15689059C2211yescharacteristic, complemented
61#15689059C2211yescharacteristic, complemented
62#15689058C2211yescharacteristic, complemented
63#15689056C2211yescharacteristic, complemented
64#15689054C2211yescharacteristic, complemented
65#15689054C2211yescharacteristic, complemented
66#15689053C2211yescharacteristic, complemented
67#15689051C2211yescharacteristic, complemented
68#15689051C2211yescharacteristic, complemented
69#15689051C2211yescharacteristic, complemented
70#15689048C2211yescharacteristic, complemented
71#15689048C2211yescharacteristic, complemented
72#15689048C2211yescharacteristic, complemented
73#15689046C2211yescharacteristic, complemented
74#15689046C2211yescharacteristic, complemented
75#15689046C2211yescharacteristic, complemented
76#15689045C2211yescharacteristic, complemented
77#15689043C2211yescharacteristic, complemented
78#15689039C2211yescharacteristic, complemented
79#15689039C2211yescharacteristic, complemented
80#15689039C2211yescharacteristic, complemented
81#15689038C2211yescharacteristic, complemented
82#15689037C2211yescharacteristic
83#15689037C2211yescharacteristic
84#15689037C2211yescharacteristic
85#15689037C2211yescharacteristic
86#15689037C2211yescharacteristic
87#15689037C2211yescharacteristic
88#15689035C2211yescharacteristic, complemented
89#15689031C2211yescharacteristic
90#15689031C2211yescharacteristic
91#15689021C2211yescharacteristic, complemented
92#15689021C2211yescharacteristic, complemented
93#15689018C2211yescharacteristic, complemented
94#15689018C2211yescharacteristic, complemented
95#15689017C2211yescharacteristic, complemented
96#15689017C2211yescharacteristic, complemented
97#15689016C2211yescharacteristic, complemented
98#15689016C2211yescharacteristic, complemented
99#15689014C2211yescharacteristic, complemented
100#15689014C2211yescharacteristic, complemented
101#15689014C2211yescharacteristic, complemented
102#15689011C2211yescharacteristic, complemented
103#15689009C2211yescharacteristic, complemented
104#15689009C2211yescharacteristic, complemented
105#15689007C2211yescharacteristic, complemented
106#15689007C2211yescharacteristic, complemented
107#15689007C2211yescharacteristic, complemented
108#15689007C2211yescharacteristic, complemented
109#15689007C2211yescharacteristic, complemented
110#15689007C2211yescharacteristic, complemented
111#15689007C2211yescharacteristic, complemented
112#15689004C2211yescharacteristic, complemented
113#15689003C2211yescharacteristic
114#15689003C2211yescharacteristic
115#15689003C2211yescharacteristic
116#15689003C2211yescharacteristic
117#15689002C2211yescharacteristic
118#15689002C2211yescharacteristic
119#15689002C2211yescharacteristic
120#15689002C2211yescharacteristic
121#15689002C2211yescharacteristic, complemented
122#15689002C2211yescharacteristic, complemented
123#15689002C2211yescharacteristic, complemented
124#15689002C2211yescharacteristic, complemented
125#15689000C2211yescharacteristic, complemented
126#15688999C2211yescharacteristic, complemented
127#15688998C2211yescharacteristic, complemented
128#15688998C2211yescharacteristic, complemented
129#15688996C2211yescharacteristic
130#15688996C2211yescharacteristic
131#15688996C2211yescharacteristic
132#15688996C2211yescharacteristic
133#15688996C2211yescharacteristic
134#15688996C2211yescharacteristic
135#15688996C2211yescharacteristic
136#15688996C2211yescharacteristic
137#15688996C2211yescharacteristic
138#15688996C2211yescharacteristic
139#15688996C2211yescharacteristic, complemented
140#15688996C2211yescharacteristic, complemented
141#15688996C2211yescharacteristic, complemented
142#15688996C2211yescharacteristic, complemented
143#15688996C2211yescharacteristic, complemented
144#15688996C2211yescharacteristic, complemented
145#15688996C2211yescharacteristic, complemented
146#15688996C2211yescharacteristic, complemented
147#15688996C2211yescharacteristic, complemented
148#15688996C2211yescharacteristic, complemented
149#15688996C2211yescharacteristic, complemented
150#15688996C2211yescharacteristic, complemented
151#15688995C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic, complemented
153#15688991C2211yescharacteristic, complemented
154#15688989C2211yescharacteristic, complemented
155#15688986C2211yescharacteristic, complemented
156#15688986C2211yescharacteristic, complemented
157#15688984C2211yescharacteristic, complemented
158#15688983C2211yescharacteristic
159#15688983C2211yescharacteristic
160#15688983C2211yescharacteristic
161#15688983C2211yescharacteristic, complemented
162#15688983C2211yescharacteristic, complemented
163#15688981C2211yescharacteristic, complemented
164#15688979C2211yescharacteristic
165#15688979C2211yescharacteristic
166#15688979C2211yescharacteristic
167#15688979C2211yescharacteristic
168C4×C22⋊Dic47C2211yescharacteristic
169C4×C22⋊Dic47C2211yescharacteristic, complemented
170C4×C22⋊Dic47C2211yescharacteristic, complemented
171C2×C47⋊#95C2211yescharacteristic, complemented
172C2×C47⋊#95C2211yescharacteristic, complemented
173C23×D4×C47C2211yescharacteristic
174C24×C4×C47C2211yescharacteristic
175C24×C4×C47C2211yescharacteristic
176C2×C4×D4×C47—28no—
177C2×C4×D4×C47C2211yescharacteristic
178C2×C4×D4×C47C2211yescharacteristic
179C2×C4×D4×C47C2211yescharacteristic
180C2×C4×D4×C47C2211yescharacteristic
181C2×C4×D4×C47C2211yescharacteristic
182C2×C4×D4×C47C2211yescharacteristic
183C2×C4×D4×C47C2211yescharacteristic
184C2×C4×D4×C47C2211yescharacteristic
185C22×C4⋊C4×C47C2211yescharacteristic
186C22×C22⋊C4×C47C2211yescharacteristic
187C22×C22⋊C4×C47C2211yescharacteristic
188C22×C42×C47C2211yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200#13094018—24no—
201#13094017—24no—
202#13094016—24no—
203#13094014—24no—
204#13094008—24no—
205#13094007—24no—
206#13094007—42no—
207#13094006—24no—
208#13094005—24no—
209#13094005—24no—
210#13094003—24no—
211#13094003—42no—
212#13094003—42no—
213#13094002—24no—
214#13094001—24no—
215#13093996—24no—
216#13093996—24no—
217#13093993—24no—
218#13093993—42no—
219C4×C22⋊D47—24no—
220C4×C22⋊D47—42no—
221C4×C22⋊D47—42no—
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×Dic47⋊C4—24no—
230C2×Dic47⋊C4—42no—
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×C22⋊Dic47—24no—
255C2×C22⋊Dic47—42no—
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C25×C47C2311yescharacteristic
336C25×C47C2311yescharacteristic
337C22×D4×C47—24no—
338C22×D4×C47—24no—
339C22×D4×C47—24no—
340C22×D4×C47C2311yescharacteristic
341C22×D4×C47C2311yescharacteristic
342C22×D4×C47C2311yescharacteristic
343C22×D4×C47C2311yescharacteristic
344C23×C4×C47—24no—
345C23×C4×C47—24no—
346C23×C4×C47—42no—
347C23×C4×C47—42no—
348C23×C4×C47—42no—
349C23×C4×C47—42no—
350C23×C4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352C23×C4×C47C2311yescharacteristic
353C23×C4×C47C2311yescharacteristic
354C23×C4×C47C2311yescharacteristic
355C23×C4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359C23×C4×C47C2311yescharacteristic
360C23×C4×C47C2311yescharacteristic
361C23×C4×C47C2311yescharacteristic
362C23×C4×C47C2311yescharacteristic
363C4×D4×C47—24no—
364C4×D4×C47—24no—
365C4×D4×C47—24no—
366C4×D4×C47—24no—
367C4×D4×C47—24no—
368C4×D4×C47—24no—
369C4×D4×C47—24no—
370C4×D4×C47D418yescomplemented
371C2×C4⋊C4×C47—24no—
372C2×C4⋊C4×C47C2311yescharacteristic
373C2×C4⋊C4×C47C2311yescharacteristic
374C2×C4⋊C4×C47C2311yescharacteristic
375C2×C4⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47—24no—
377C2×C22⋊C4×C47—24no—
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C22⋊C4×C47C2311yescharacteristic
385C2×C22⋊C4×C47C2311yescharacteristic
386C2×C42×C47—24no—
387C2×C42×C47C2311yescharacteristic
388C2×C42×C47C2311yescharacteristic
389C2×C42×C47C2311yescharacteristic
390C2×C42×C47C2311yescharacteristic
391C24×C47—22no—
392C24×C47—22no—
393C24×C47—22no—
394C24×C47—22no—
395C24×C47—22no—
396C24×C47—22no—
397C24×C47—22no—
398C24×C47—22no—
399C24×C47—22no—
400C24×C47—41no—
401C24×C47—41no—
402C24×C47—41no—
403C24×C47—41no—
404C24×C47#4114yes—
405C24×C47C2411yescharacteristic
406C24×C47C2411yescharacteristic
407C24×C47C2411yescharacteristic
408C24×C47C2411yescharacteristic
409C24×C47C2411yescharacteristic
410C23×D47C2411yescharacteristic
411C2×D4×C47—232no—
412C2×D4×C47—22no—
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C2×D4×C47—22no—
417C2×D4×C47—22no—
418C2×D4×C47—22no—
419C2×D4×C47—22no—
420C2×D4×C47—22no—
421C2×D4×C47—22no—
422C2×D4×C47C2×D414yes—
423C2×D4×C47#4114yes—
424C22×C4×C47—22no—
425C22×C4×C47—22no—
426C22×C4×C47—22no—
427C22×C4×C47—22no—
428C22×C4×C47—22no—
429C22×C4×C47—22no—
430C22×C4×C47—22no—
431C22×C4×C47—22no—
432C22×C4×C47—22no—
433C22×C4×C47—22no—
434C22×C4×C47—22no—
435C22×C4×C47—22no—
436C22×C4×C47—22no—
437C22×C4×C47—22no—
438C22×C4×C47—22no—
439C22×C4×C47—22no—
440C22×C4×C47—22no—
441C22×C4×C47—22no—
442C22×C4×C47—22no—
443C22×C4×C47—22no—
444C22×C4×C47—22no—
445C22×C4×C47—22no—
446C22×C4×C47—41no—
447C22×C4×C47—41no—
448C22×C4×C47—41no—
449C22×C4×C47—41no—
450C22×C4×C47—41no—
451C22×C4×C47—41no—
452C22×C4×C47—41no—
453C22×C4×C47—41no—
454C22×C4×C47—41no—
455C22×C4×C47—41no—
456C22×C4×C47—41no—
457C22×C4×C47—41no—
458C22×C4×C47—41no—
459C22×C4×C47—41no—
460C22×C4×C47—41no—
461C22×C4×C47—416no—
462C22×C4×C47—416no—
463C22×C4×C47C2×D414yes—
464C22×C4×C47C2×D414yes—
465C22×C4×C47C2411yescharacteristic
466C22×C4×C47C2411yescharacteristic
467C22×C4×C47C2411yescharacteristic
468C22×C4×C47C2411yescharacteristic
469C22×C4×C47C2411yescharacteristic
470C22×C4×C47C2411yescharacteristic
471C22×C4×C47C2411yescharacteristic
472C22×C4×C47C2411yescharacteristic
473C22×C4×C47C2411yescharacteristic
474C22×C4×C47C2411yescharacteristic
475C2×C22⋊D47—22no—
476C2×C22⋊D47—22no—
477C2×C22⋊D47—22no—
478C2×C22⋊D47—22no—
479C2×C22⋊D47—22no—
480C2×C22⋊D47—22no—
481C2×C22⋊D47—22no—
482C2×C22⋊D47—22no—
483C2×C22⋊D47—22no—
484C2×C22⋊D47—41no—
485C2×C22⋊D47—41no—
486C2×C22⋊D47—41no—
487C2×C22⋊D47—41no—
488C2×C22⋊D47—41no—
489C2×C22⋊D47—41no—
490C22×Dic47—22no—
491C22×Dic47—22no—
492C22×Dic47—22no—
493C22×Dic47—22no—
494C22×Dic47—22no—
495C22×Dic47—22no—
496C22×Dic47—41no—
497C22×Dic47—41no—
498C22×Dic47—41no—
499C22×Dic47—41no—
500C22×Dic47—41no—
501C22×Dic47—41no—
502C22×Dic47C2411yescharacteristic
503C22×Dic47C2411yescharacteristic
504C22×Dic47C2411yescharacteristic
505C22×Dic47C2411yescharacteristic
506C22×Dic47C2411yescharacteristic
507C22×Dic47C2411yescharacteristic
508C22×Dic47C2411yescharacteristic
509C22×Dic47C2411yescharacteristic
510C22×Dic47C2411yescharacteristic
511C22×Dic47C2411yescharacteristic
512C22×Dic47C2411yescharacteristic
513C22×Dic47C2411yescharacteristic
514C22×Dic47C2411yescharacteristic
515C22×Dic47C2411yescharacteristic
516C22×Dic47C2411yescharacteristic
517C2×C4×D47—22no—
518C2×C4×D47—41no—
519C2×C4×D47—41no—
520C2×Dic94—22no—
521C2×Dic94—41no—
522C2×Dic94—41no—
523C4⋊C4×C47—22no—
524C4⋊C4×C47—22no—
525C4⋊C4×C47—22no—
526C4⋊C4×C47C2×D414yes—
527C22⋊C4×C47—22no—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47C2×D414yes—
534C22⋊C4×C47C2×D414yes—
535C42×C47—22no—
536C42×C47—22no—
537C42×C47—22no—
538C42×C47C2×D414yes—
539C22⋊Dic47—22no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—22no—
550C22⋊Dic47—22no—
551C22⋊Dic47—22no—
552C22⋊Dic47—22no—
553C22⋊Dic47—22no—
554C22⋊Dic47—22no—
555C22⋊Dic47—22no—
556C22⋊Dic47—22no—
557C22⋊Dic47—22no—
558C22⋊Dic47—41no—
559C22⋊Dic47—41no—
560C22⋊Dic47—41no—
561C22⋊Dic47—41no—
562C22⋊Dic47—41no—
563C22⋊Dic47—41no—
564C22⋊Dic47—41no—
565C22⋊Dic47—41no—
566C22⋊Dic47—41no—
567C22⋊Dic47—41no—
568C22⋊Dic47—41no—
569C22⋊Dic47—41no—
570(C2×D47)⋊C4—22no—
571(C2×D47)⋊C4—22no—
572(C2×D47)⋊C4—22no—
573(C2×D47)⋊C4—22no—
574(C2×D47)⋊C4—22no—
575(C2×D47)⋊C4—22no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4—41no—
579C4⋊Dic47—22no—
580C4⋊Dic47—22no—
581C4⋊Dic47—22no—
582C4⋊Dic47—41no—
583C4⋊Dic47—41no—
584C4⋊Dic47—41no—
585C4⋊Dic47—41no—
586Dic47⋊C4—22no—
587Dic47⋊C4—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—22no—
590Dic47⋊C4—22no—
591Dic47⋊C4—22no—
592Dic47⋊C4—22no—
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—22no—
596Dic47⋊C4—22no—
597Dic47⋊C4—22no—
598Dic47⋊C4—22no—
599Dic47⋊C4—22no—
600Dic47⋊C4—22no—
601Dic47⋊C4—22no—
602Dic47⋊C4—41no—
603Dic47⋊C4—41no—
604Dic47⋊C4—41no—
605Dic47⋊C4—41no—
606Dic47⋊C4—41no—
607Dic47⋊C4—41no—
608Dic47⋊C4—41no—
609C4×Dic47—22no—
610C4×Dic47—41no—
611C4×Dic47—41no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—28no—
621C23×C47—28no—
622C23×C47—28no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—21no—
638C23×C47—21no—
639C23×C47—21no—
640C23×C47—21no—
641C23×C47—44no—
642C23×C47—44no—
643C23×C47—44no—
644C23×C47—44no—
645C23×C47—44no—
646C23×C47—44no—
647C23×C47—44no—
648C23×C47—44no—
649C23×C47—44no—
650C23×C47—44no—
651C23×C47—44no—
652C23×C47C22×D412yes—
653C23×C47C22×D412yes—
654C23×C47C2×#4112yes—
655C23×C47C2×#4112yes—
656C23×C47C2×#4112yes—
657C23×C47C2×#4112yes—
658C23×C47C2×#4112yes—
659C23×C47H(5,𝔽2)12yes—
660C23×C472−1+412yes—
661C23×C47C2511yescharacteristic
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—21no—
669D4×C47—28no—
670D4×C47—28no—
671D4×C47—28no—
672D4×C47—28no—
673C2×C4×C47—28no—
674C2×C4×C47—28no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—44no—
699C2×C4×C47—44no—
700C2×C4×C47—44no—
701C2×C4×C47—44no—
702C2×C4×C47—44no—
703C2×C4×C47—44no—
704C2×C4×C47—44no—
705C2×C4×C47—44no—
706C2×C4×C47—44no—
707C2×C4×C47—44no—
708C2×C4×C47—44no—
709C2×C4×C47C22×D412yes—
710C2×C4×C47C22×D412yes—
711C2×C4×C47C22×D412yes—
712C2×C4×C47C22×D412yes—
713C2×C4×C47C22×D412yes—
714C2×C4×C47C2×#4112yes—
715C2×C4×C47H(5,𝔽2)12yes—
716C22⋊D47—44no—
717C22⋊D47—44no—
718C22⋊D47—44no—
719C22⋊D47—82no—
720C22⋊D47—82no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—44no—
767C2×Dic47—44no—
768C2×Dic47—82no—
769C2×Dic47—82no—
770C4×D47—82no—
771Dic94—82no—
772#34991—471nomaximal, Sylow
773C22×C47—22no—
774C22×C47—22no—
775C22×C47—22no—
776C22×C47—22no—
777C22×C47—22no—
778C22×C47—22no—
779C22×C47—22no—
780C22×C47—22no—
781C22×C47—22no—
782C22×C47—22no—
783C22×C47—22no—
784C22×C47—22no—
785C22×C47—22no—
786C22×C47—22no—
787C22×C47—22no—
788C22×C47—22no—
789C22×C47—22no—
790C22×C47—22no—
791C22×C47—22no—
792C22×C47—22no—
793C22×C47—22no—
794C22×C47—416no—
795C22×C47—416no—
796C22×C47—41no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47#52514yes—
809C22×C47#53914yescomplemented
810C22×C47C23×D411yescharacteristic
811C22×C47C22×#4111yescharacteristic
812C22×C47C22×#4111yescharacteristic
813C22×C47C2×H(5,𝔽2)11yescharacteristic
814C22×C47C2×H(5,𝔽2)11yescharacteristic
815C22×C47C2×2−1+411yescharacteristic
816C22×C47#58511yescharacteristic
817C2×D47—41no—
818C2×D47—41no—
819C2×D47—41no—
820C2×D47—41no—
821C2×D47—41no—
822C2×D47—41no—
823C2×D47—41no—
824C4×C47—22no—
825C4×C47—22no—
826C4×C47—22no—
827C4×C47—22no—
828C4×C47—22no—
829C4×C47—22no—
830C4×C47—22no—
831C4×C47—41no—
832C4×C47—41no—
833C4×C47—41no—
834Dic47—41no—
835Dic47—41no—
836Dic47—41no—
837Dic47—41no—
838Dic47—41no—
839Dic47—41no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47—41no—
844Dic47—41no—
845Dic47—41no—
846Dic47—41no—
847Dic47—41no—
848Dic47—41no—
849C2×#539—471no—
850C22×C4×D4D4711yescharacteristic, complemented
851#2852—471no—
852#2851—471no—
853#2849—471no—
854#2848—471no—
855#2638—471no—
856#2636—471no—
857#2633—471no—
858#2630—471no—
859#2480—471no—
860#2473—471no—
861#2466—471no—
862#2463—471no—
863#2460—471no—
864#2455—471no—
865#2449—471no—
866#2449—471no—
867#2443—471no—
868#2437—471no—
869#2425—471no—
870#2419—471no—
871#2418—471no—
872#2412—471no—
873#2410—471no—
874#2405—471no—
875#2325—471no—
876#2322—471no—
877#2318—471no—
878C4×#120—471no—
879C2×#385—471no—
880C2×C47—24no—
881C2×C47—24no—
882C2×C47—42no—
883C2×C47—42no—
884C2×C47—42no—
885C2×C47C2×#52511yescharacteristic
886C2×C47C2×#53911yescharacteristic
887C2×C47#345911yescharacteristic
888C2×C47#348411yescharacteristic
889C2×C47#348911yescharacteristic
890C2×C47#351311yescharacteristic
891C2×C47#352011yescharacteristic
892D47—81no—
893C23×D4C2×D4711yescharacteristic
894C24×C4C2×D4711yescharacteristic
895C24×C4C2×D4711yescharacteristic
896#539—948no—
897C2×#126—471no—
898C2×#126—471no—
899C2×#125—471no—
900C2×#125—471no—
901C2×#123—471no—
902C2×#123—471no—
903C2×#123—471no—
904C2×#123—471no—
905C2×#123—471no—
906C2×#123—471no—
907C2×C22⋊Q8—471no—
908C2×C22⋊Q8—471no—
909C2×C22⋊Q8—471no—
910C2×C22⋊Q8—471no—
911C2×C22⋊Q8—471no—
912C2×#121—471no—
913C2×#121—471no—
914C2×#120—471no—
915C2×#120—471no—
916C2×C4×D4—28no—
917C2×C4×D4—471no—
918C2×C4×D4—471no—
919C2×C4×D4—471no—
920C2×C4×D4C2×D4711yescharacteristic
921C2×C4×D4C2×D4711yescharacteristic
922C2×C4×D4C2×D4711yescharacteristic
923C2×C4×D4C2×D4711yescharacteristic
924C2×C4×D4C2×D4711yescharacteristic
925C2×C4×D4C2×D4711yescharacteristic
926C2×C4×D4C2×D4711yescharacteristic
927C2×C4×D4C2×D4711yescharacteristic
928C22×C4⋊C4—471no—
929C22×C4⋊C4—471no—
930C22×C4⋊C4C2×D4711yescharacteristic
931C22×C22⋊C4—471no—
932C22×C22⋊C4—471no—
933C22×C22⋊C4C2×D4711yescharacteristic
934C22×C22⋊C4C2×D4711yescharacteristic
935C22×C42C2×D4711yescharacteristic
936#400—471no—
937#399—471no—
938#399—471no—
939#399—471no—
940#398—471no—
941#398—471no—
942#398—471no—
943#398—471no—
944#397—471no—
945#397—471no—
946#397—471no—
947#397—471no—
948#397—471no—
949#397—471no—
950#396—471no—
951#396—471no—
952#396—471no—
953#396—471no—
954#395—471no—
955#394—471no—
956#394—471no—
957#394—471no—
958#394—471no—
959#394—471no—
960#394—471no—
961#394—471no—
962#394—471no—
963#394—471no—
964#394—471no—
965#393—471no—
966#392—471no—
967#392—471no—
968#389—471no—
969#389—471no—
970#389—471no—
971#389—471no—
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#387—471no—
981#387—471no—
982#387—471no—
983#387—471no—
984#387—471no—
985#387—471no—
986#387—471no—
987#387—471no—
988#387—471no—
989#387—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#386—471no—
1001#386—471no—
1002#386—471no—
1003#386—471no—
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385—471no—
1009#385—471no—
1010#385—471no—
1011#385—471no—
1012#385—471no—
1013#385—471no—
1014#385—471no—
1015#385—471no—
1016#385—471no—
1017#385—471no—
1018#385—471no—
1019#385—471no—
1020#385—471no—
1021#385—471no—
1022#385—471no—
1023#385—471no—
1024#385—471no—
1025#385—471no—
1026#385—471no—
1027#385—471no—
1028#385—471no—
1029#385—471no—
1030#383—471no—
1031#382—471no—
1032#381—471no—
1033#381—471no—
1034#381—471no—
1035#380—471no—
1036#380—471no—
1037#380—471no—
1038#380—471no—
1039#380—471no—
1040#380—471no—
1041#379—471no—
1042#379—471no—
1043#379—471no—
1044#379—471no—
1045C4×C22⋊C4—471no—
1046C4×C22⋊C4—471no—
1047C4×C22⋊C4—471no—
1048C2×#95—471no—
1049C2×#95—471no—
1050C47#3499111yescharacteristic, complemented, Sylow
1051C25C22×D4711yescharacteristic
1052C25C22×D4711yescharacteristic
1053C22×Q8—471no—
1054C22×D4—24no—
1055C22×D4—24no—
1056C22×D4—24no—
1057C22×D4—471no—
1058C22×D4—471no—
1059C22×D4—471no—
1060C22×D4—471no—
1061C22×D4—471no—
1062C22×D4C22×D4711yescharacteristic
1063C22×D4C22×D4711yescharacteristic
1064C22×D4C22×D4711yescharacteristic
1065C22×D4C22×D4711yescharacteristic
1066C23×C4—24no—
1067C23×C4—24no—
1068C23×C4—42no—
1069C23×C4—42no—
1070C23×C4—42no—
1071C23×C4—42no—
1072C23×C4—471no—
1073C23×C4—471no—
1074C23×C4—471no—
1075C23×C4—471no—
1076C23×C4—471no—
1077C23×C4C22×D4711yescharacteristic
1078C23×C4C22×D4711yescharacteristic
1079C23×C4C22×D4711yescharacteristic
1080C23×C4C22×D4711yescharacteristic
1081C23×C4C22×D4711yescharacteristic
1082C23×C4C22×D4711yescharacteristic
1083C23×C4C22×D4711yescharacteristic
1084C23×C4C22×D4711yescharacteristic
1085C23×C4C22×D4711yescharacteristic
1086C23×C4C22×D4711yescharacteristic
1087C23×C4C22×D4711yescharacteristic
1088C23×C4C22×D4711yescharacteristic
1089C23×C4C22×D4711yescharacteristic
1090#126—944no—
1091#126—944no—
1092#125—944no—
1093#125—944no—
1094#123—944no—
1095#123—944no—
1096#123—944no—
1097#123—944no—
1098#123—944no—
1099#123—1882no—
1100C22⋊Q8—944no—
1101C22⋊Q8—944no—
1102C22⋊Q8—944no—
1103C22⋊Q8—1882no—
1104C22⋊Q8—1882no—
1105#121—944no—
1106#121—944no—
1107#120—944no—
1108#120—1882no—
1109C4×D4—24no—
1110C4×D4—24no—
1111C4×D4—24no—
1112C4×D4—24no—
1113C4×D4—24no—
1114C4×D4—24no—
1115C4×D4—24no—
1116C4×D4—944no—
1117C4×D4—1882no—
1118C4×D4—1882no—
1119C4×D4C22⋊D4718yescomplemented
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—471no—
1123C2×C4⋊C4—471no—
1124C2×C4⋊C4—471no—
1125C2×C4⋊C4—471no—
1126C2×C4⋊C4—471no—
1127C2×C4⋊C4—471no—
1128C2×C4⋊C4—471no—
1129C2×C4⋊C4—471no—
1130C2×C4⋊C4—471no—
1131C2×C4⋊C4—471no—
1132C2×C4⋊C4—471no—
1133C2×C4⋊C4—471no—
1134C2×C4⋊C4—471no—
1135C2×C4⋊C4—471no—
1136C2×C4⋊C4—471no—
1137C2×C4⋊C4—471no—
1138C2×C4⋊C4—471no—
1139C2×C4⋊C4—471no—
1140C2×C4⋊C4—471no—
1141C2×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×C4⋊C4—471no—
1144C2×C4⋊C4—471no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4—471no—
1151C2×C4⋊C4—944no—
1152C2×C4⋊C4—1882no—
1153C2×C4⋊C4C22×D4711yescharacteristic
1154C2×C4⋊C4C22×D4711yescharacteristic
1155C2×C4⋊C4C22×D4711yescharacteristic
1156C2×C4⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4—24no—
1158C2×C22⋊C4—24no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—471no—
1193C2×C22⋊C4—471no—
1194C2×C22⋊C4—471no—
1195C2×C22⋊C4—471no—
1196C2×C22⋊C4—471no—
1197C2×C22⋊C4—471no—
1198C2×C22⋊C4—471no—
1199C2×C22⋊C4—944no—
1200C2×C22⋊C4—1882no—
1201C2×C22⋊C4C22×D4711yescharacteristic
1202C2×C22⋊C4C22×D4711yescharacteristic
1203C2×C22⋊C4C22×D4711yescharacteristic
1204C2×C22⋊C4C22×D4711yescharacteristic
1205C2×C22⋊C4C22×D4711yescharacteristic
1206C2×C22⋊C4C22×D4711yescharacteristic
1207C2×C22⋊C4C22×D4711yescharacteristic
1208C2×C22⋊C4C22×D4711yescharacteristic
1209C2×C42—24no—
1210C2×C42—471no—
1211C2×C42—471no—
1212C2×C42—471no—
1213C2×C42C22×D4711yescharacteristic
1214C2×C42C22×D4711yescharacteristic
1215C2×C42C22×D4711yescharacteristic
1216C2×C42C22×D4711yescharacteristic
1217#95—471no—
1218#95—471no—
1219#95—471no—
1220#95—471no—
1221#95—471no—
1222#95—471no—
1223#95—471no—
1224#95—471no—
1225#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95—471no—
1237#95—471no—
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95—471no—
1246#95—471no—
1247#95—471no—
1248#95—471no—
1249#95—471no—
1250#95—471no—
1251#95—471no—
1252#95—471no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—471no—
1267C24#1062535014yes—
1268C24C23×D4711yescharacteristic
1269C24C23×D4711yescharacteristic
1270C24C23×D4711yescharacteristic
1271C24C23×D4711yescharacteristic
1272C24C23×D4711yescharacteristic
1273C2×Q8—942no—
1274C2×Q8—1881no—
1275C2×Q8—1881no—
1276C2×D4—232no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—942no—
1288C2×D4—942no—
1289C2×D4—942no—
1290C2×D4—942no—
1291C2×D4—942no—
1292C2×D4—942no—
1293C2×D4—942no—
1294C2×D4—942no—
1295C2×D4—942no—
1296C2×D4—1881no—
1297C2×D4—1881no—
1298C2×D4—1881no—
1299C2×D4—1881no—
1300C2×D4—1881no—
1301C2×D4—1881no—
1302C2×D4#1062535014yes—
1303C2×D4C2×C22⋊D4714yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—416no—
1342C22×C4—416no—
1343C22×C4—471no—
1344C22×C4—471no—
1345C22×C4—471no—
1346C22×C4—471no—
1347C22×C4—471no—
1348C22×C4—471no—
1349C22×C4—471no—
1350C22×C4—471no—
1351C22×C4—471no—
1352C22×C4—471no—
1353C22×C4—471no—
1354C22×C4—471no—
1355C22×C4—471no—
1356C22×C4—471no—
1357C22×C4—471no—
1358C22×C4—942no—
1359C22×C4—942no—
1360C22×C4—942no—
1361C22×C4—942no—
1362C22×C4—942no—
1363C22×C4—942no—
1364C22×C4—942no—
1365C22×C4—1881no—
1366C22×C4—1881no—
1367C22×C4—1881no—
1368C22×C4—1881no—
1369C22×C4—1881no—
1370C22×C4—1881no—
1371C22×C4—1881no—
1372C22×C4—1881no—
1373C22×C4C2×C22⋊D4714yes—
1374C22×C4C2×C22⋊D4714yes—
1375C22×C4C23×D4711yescharacteristic
1376C22×C4C23×D4711yescharacteristic
1377C22×C4C23×D4711yescharacteristic
1378C22×C4C23×D4711yescharacteristic
1379C22×C4C23×D4711yescharacteristic
1380C22×C4C23×D4711yescharacteristic
1381C22×C4C23×D4711yescharacteristic
1382C22×C4C23×D4711yescharacteristic
1383C22×C4C23×D4711yescharacteristic
1384C22×C4C23×D4711yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—942no—
1389C4⋊C4—942no—
1390C4⋊C4—942no—
1391C4⋊C4—942no—
1392C4⋊C4—942no—
1393C4⋊C4—942no—
1394C4⋊C4—942no—
1395C4⋊C4—942no—
1396C4⋊C4—942no—
1397C4⋊C4—942no—
1398C4⋊C4—942no—
1399C4⋊C4—942no—
1400C4⋊C4—942no—
1401C4⋊C4—942no—
1402C4⋊C4—942no—
1403C4⋊C4—942no—
1404C4⋊C4—942no—
1405C4⋊C4—942no—
1406C4⋊C4—942no—
1407C4⋊C4—1881no—
1408C4⋊C4—1881no—
1409C4⋊C4—1881no—
1410C4⋊C4—1881no—
1411C4⋊C4—1881no—
1412C4⋊C4—1881no—
1413C4⋊C4—1881no—
1414C4⋊C4—1881no—
1415C4⋊C4—1881no—
1416C4⋊C4—1881no—
1417C4⋊C4—1881no—
1418C4⋊C4C2×C22⋊D4714yes—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—942no—
1426C22⋊C4—942no—
1427C22⋊C4—942no—
1428C22⋊C4—942no—
1429C22⋊C4—942no—
1430C22⋊C4—942no—
1431C22⋊C4—942no—
1432C22⋊C4—942no—
1433C22⋊C4—942no—
1434C22⋊C4—942no—
1435C22⋊C4—942no—
1436C22⋊C4—942no—
1437C22⋊C4—942no—
1438C22⋊C4—942no—
1439C22⋊C4—942no—
1440C22⋊C4—942no—
1441C22⋊C4—942no—
1442C22⋊C4—942no—
1443C22⋊C4—942no—
1444C22⋊C4—942no—
1445C22⋊C4—942no—
1446C22⋊C4—942no—
1447C22⋊C4—942no—
1448C22⋊C4—942no—
1449C22⋊C4—942no—
1450C22⋊C4—1881no—
1451C22⋊C4—1881no—
1452C22⋊C4—1881no—
1453C22⋊C4—1881no—
1454C22⋊C4—1881no—
1455C22⋊C4—1881no—
1456C22⋊C4—1881no—
1457C22⋊C4—1881no—
1458C22⋊C4—1881no—
1459C22⋊C4—1881no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4C2×C22⋊D4714yes—
1466C22⋊C4C2×C22⋊D4714yes—
1467C42—22no—
1468C42—22no—
1469C42—22no—
1470C42—942no—
1471C42—1881no—
1472C42—1881no—
1473C42C2×C22⋊D4714yes—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—28no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—941no—
1515C23—941no—
1516C23—941no—
1517C23—941no—
1518C23—941no—
1519C23—941no—
1520C23—941no—
1521C23C22×C22⋊D4712yes—
1522C23C22×C22⋊D4712yes—
1523C23C2×#1062535012yes—
1524C23C2×#1062535012yes—
1525C23C2×#1062535012yes—
1526C23C2×#1062535012yes—
1527C23C2×#1062535012yes—
1528C23#1309406912yes—
1529C23#1309407112yes—
1530C23C24×D4711yescharacteristic
1531Q8—3762no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—3762no—
1537D4—3762no—
1538D4—1884no—
1539D4—1884no—
1540D4—1884no—
1541C2×C4—28no—
1542C2×C4—28no—
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—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—44no—
1567C2×C4—44no—
1568C2×C4—44no—
1569C2×C4—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—44no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—44no—
1576C2×C4—44no—
1577C2×C4—941no—
1578C2×C4—941no—
1579C2×C4—941no—
1580C2×C4—941no—
1581C2×C4—941no—
1582C2×C4—941no—
1583C2×C4—941no—
1584C2×C4—941no—
1585C2×C4—941no—
1586C2×C4—941no—
1587C2×C4—941no—
1588C2×C4—941no—
1589C2×C4—941no—
1590C2×C4—941no—
1591C2×C4—941no—
1592C2×C4—941no—
1593C2×C4—941no—
1594C2×C4—941no—
1595C2×C4—941no—
1596C2×C4—941no—
1597C2×C4—941no—
1598C2×C4—941no—
1599C2×C4—941no—
1600C2×C4—941no—
1601C2×C4—941no—
1602C2×C4—941no—
1603C2×C4—941no—
1604C2×C4—941no—
1605C2×C4—941no—
1606C2×C4—941no—
1607C2×C4—941no—
1608C2×C4—941no—
1609C2×C4—941no—
1610C2×C4—941no—
1611C2×C4—941no—
1612C2×C4—941no—
1613C2×C4—941no—
1614C2×C4—941no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—941no—
1621C2×C4—941no—
1622C2×C4—3762no—
1623C2×C4—3762no—
1624C2×C4—3762no—
1625C2×C4—1884no—
1626C2×C4—1884no—
1627C2×C4C22×C22⋊D4712yes—
1628C2×C4C22×C22⋊D4712yes—
1629C2×C4C22×C22⋊D4712yes—
1630C2×C4C22×C22⋊D4712yes—
1631C2×C4C22×C22⋊D4712yes—
1632C2×C4C2×#1062535012yes—
1633C2×C4#1309406912yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—1881no—
1670C22—1881no—
1671C22—1881no—
1672C22—1881no—
1673C22—1881no—
1674C22—1881no—
1675C22—1881no—
1676C22#1568963414yes—
1677C22#1568971514yescomplemented
1678C22C23×C22⋊D4711yescharacteristic
1679C22C22×#1062535011yescharacteristic
1680C22C22×#1062535011yescharacteristic
1681C22C2×#1309406911yescharacteristic
1682C22C2×#1309406911yescharacteristic
1683C22C2×#1309407111yescharacteristic
1684C22#1568995911yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—22no—
1691C4—22no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—1881no—
1696C4—1881no—
1697C4—1881no—
1698C4—1881no—
1699C4—1881no—
1700C4—1881no—
1701C4—1881no—
1702C4—1881no—
1703C4—1881no—
1704C4—1881no—
1705C4—1881no—
1706C4—1881no—
1707C4—1881no—
1708C4—1881no—
1709C4—1881no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—3761no—
1716C2C2×#1568963411yescharacteristic
1717C2C2×#1568971511yescharacteristic
1718C2#2025679711yescharacteristic
1719C2#2025702311yescharacteristic
1720C2#2025706811yescharacteristic
1721C2#2025732811yescharacteristic
1722C2#2025743711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC22×C4×D4×C47C2
prime radical#20246762C2
hypercenterC22×C4×D4D47
hypocenterC47#34991
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ C22×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×#15689715C2semidirect
2. #20251703C2semidirect
3. #20251698C2semidirect
4. #20251680C2semidirect
5. #20251675C2semidirect
6. #20249305C2semidirect
7. #20249283C2semidirect
8. #20249256C2semidirect
9. #20249225C2semidirect
10. #20247628C2semidirect
11. #20247523C2semidirect
12. #20247418C2semidirect
13. #20247379C2semidirect
14. #20247334C2semidirect
15. #20247265C2semidirect
16. #20247197C2semidirect
17. #20247191C2semidirect
18. #20247117C2semidirect
19. #20247049C2semidirect
20. #20246933C2semidirect
21. #20246859C2semidirect
22. #20246850C2semidirect
23. #20246778C2semidirect
25. #20246711C2semidirect
26. #20246086C2semidirect
27. #20246053C2semidirect
28. #20246021C2semidirect
29. C4×#13093993C2semidirect
30. C2×#15688996C2semidirect
31. C22×C4×D4×C47C2semidirect
33. C2×#13094018C22semidirect
34. C2×#13094017C22semidirect
35. C2×#13094016C22semidirect
36. C2×#13094014C22semidirect
37. C2×#13094008C22semidirect
38. C2×#13094007C22semidirect
39. C2×#13094007C22semidirect
40. C2×#13094006C22semidirect
44. C2×#13094003C22semidirect
45. C2×#13094003C22semidirect
46. C2×#13094002C22semidirect
47. C2×#13094001C22semidirect
53. C2×C4×C22⋊D47C22semidirect
54. C2×C4×C22⋊D47C22semidirect
55. C22×Dic47⋊C4C22semidirect
56. C22×Dic47⋊C4C22semidirect
59. #15689061C22semidirect
60. #15689059C22semidirect
61. #15689059C22semidirect
62. #15689058C22semidirect
63. #15689056C22semidirect
64. #15689054C22semidirect
65. #15689054C22semidirect
66. #15689053C22semidirect
67. #15689051C22semidirect
68. #15689051C22semidirect
69. #15689051C22semidirect
70. #15689048C22semidirect
71. #15689048C22semidirect
72. #15689048C22semidirect
73. #15689046C22semidirect
74. #15689046C22semidirect
75. #15689046C22semidirect
76. #15689045C22semidirect
77. #15689043C22semidirect
78. #15689039C22semidirect
79. #15689039C22semidirect
80. #15689039C22semidirect
81. #15689038C22semidirect
88. #15689035C22semidirect
91. #15689021C22semidirect
92. #15689021C22semidirect
93. #15689018C22semidirect
94. #15689018C22semidirect
95. #15689017C22semidirect
96. #15689017C22semidirect
97. #15689016C22semidirect
98. #15689016C22semidirect
99. #15689014C22semidirect
100. #15689014C22semidirect
101. #15689014C22semidirect
102. #15689011C22semidirect
103. #15689009C22semidirect
104. #15689009C22semidirect
105. #15689007C22semidirect
106. #15689007C22semidirect
107. #15689007C22semidirect
108. #15689007C22semidirect
109. #15689007C22semidirect
110. #15689007C22semidirect
111. #15689007C22semidirect
112. #15689004C22semidirect
121. #15689002C22semidirect
122. #15689002C22semidirect
123. #15689002C22semidirect
124. #15689002C22semidirect
125. #15689000C22semidirect
126. #15688999C22semidirect
127. #15688998C22semidirect
128. #15688998C22semidirect
139. #15688996C22semidirect
140. #15688996C22semidirect
141. #15688996C22semidirect
142. #15688996C22semidirect
143. #15688996C22semidirect
144. #15688996C22semidirect
145. #15688996C22semidirect
146. #15688996C22semidirect
147. #15688996C22semidirect
148. #15688996C22semidirect
149. #15688996C22semidirect
150. #15688996C22semidirect
151. #15688995C22semidirect
152. #15688994C22semidirect
153. #15688991C22semidirect
154. #15688989C22semidirect
155. #15688986C22semidirect
156. #15688986C22semidirect
157. #15688984C22semidirect
161. #15688983C22semidirect
162. #15688983C22semidirect
163. #15688981C22semidirect
169. C4×C22⋊Dic47C22semidirect
170. C4×C22⋊Dic47C22semidirect
171. C2×C47⋊#95C22semidirect
172. C2×C47⋊#95C22semidirect
370. C4×D4×C47D4semidirect
809. C22×C47#539semidirect
850. C22×C4×D4D47semidirect
1050. C47#34991semidirect
1119. C4×D4C22⋊D47semidirect
1677. C22#15689715semidirect

Maximal subgroups

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

subgroupindex
C2×#156897152
#202517032
#202516982
#202516802
#202516752
#202493052
#202492832
#202492562
#202492252
#202476282
#202475232
#202474182
#202473792
#202473342
#202472652
#202471972
#202471912
#202471172
#202470492
#202469332
#202468592
#202468502
#202467782
#202467622
#202467112
#202460862
#202460532
#202460212
C4×#130939932
C2×#156889962
C22×C4×D4×C472
#3499147