Finite Group Databasebeta

← #26424592

Subgroups — #26424592

Order 12032.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251682C211yesmaximal, characteristic, complemented
2#20251673C211yesmaximal, characteristic, complemented
3#20251065C211yesmaximal, characteristic, complemented
4#20250632C211yesmaximal, characteristic, complemented
5#20250579C211yesmaximal, characteristic, complemented
6#20250566C211yesmaximal, characteristic, complemented
7#20250528C211yesmaximal, characteristic, complemented
8#20250360C211yesmaximal, characteristic, complemented
9#20250112C211yesmaximal, characteristic, complemented
10#20250105C211yesmaximal, characteristic, complemented
11#20250074C211yesmaximal, characteristic, complemented
12#20249935C211yesmaximal, characteristic, complemented
13#20249917C211yesmaximal, characteristic, complemented
14#20249900C211yesmaximal, characteristic, complemented
15#20249892C211yesmaximal, characteristic, complemented
16#20249863C211yesmaximal, characteristic, complemented
17#20249811C211yesmaximal, characteristic, complemented
18#20249738C211yesmaximal, characteristic, complemented
19#20249361C211yesmaximal, characteristic, complemented
20#20249344C211yesmaximal, characteristic, complemented
21#20247883C211yesmaximal, characteristic, complemented
22#20247214C211yesmaximal, characteristic, complemented
23#20247052C211yesmaximal, characteristic, complemented
24#20246850C211yesmaximal, characteristic, complemented
25#20246781C211yesmaximal, characteristic, complemented
26#20246764C211yesmaximal, characteristic
27#20246713C211yesmaximal, characteristic, complemented
28#20246048C211yesmaximal, characteristic, complemented
29#20245999C211yesmaximal, characteristic, complemented
30C2×#15689000C211yesmaximal, characteristic, complemented
31C47×#2480C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C24×Dic47C2211yescharacteristic
34C2×#13094009C2211yescharacteristic, complemented
35C2×#13094008C2211yescharacteristic, complemented
36C2×#13094008C2211yescharacteristic, complemented
37C2×#13094006C2211yescharacteristic
38C2×#13094006C2211yescharacteristic
39C2×#13094006C2211yescharacteristic, complemented
40C2×#13094004C2211yescharacteristic, complemented
41C2×#13094001C2211yescharacteristic
42C2×#13094001C2211yescharacteristic, complemented
43C2×#13094001C2211yescharacteristic, complemented
44C2×#13093997C2211yescharacteristic
45C2×#13093997C2211yescharacteristic
46C2×#13093994C2211yescharacteristic
47C2×#13093993C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic
49C22×(C2×D47)⋊C4C2211yescharacteristic
50C22×(C2×D47)⋊C4C2211yescharacteristic
51C2×C22⋊C4×D47C2211yescharacteristic
52C2×C22⋊C4×D47C2211yescharacteristic
53C47⋊#401C2211yescharacteristic, complemented
54#15689065C2211yescharacteristic, complemented
55#15689065C2211yescharacteristic, complemented
56#15689065C2211yescharacteristic, complemented
57#15689065C2211yescharacteristic, complemented
58#15689065C2211yescharacteristic, complemented
59#15689065C2211yescharacteristic, complemented
60#15689064C2211yescharacteristic, complemented
61#15689062C2211yescharacteristic, complemented
62#15689062C2211yescharacteristic, complemented
63#15689062C2211yescharacteristic, complemented
64#15689061C2211yescharacteristic, complemented
65#15689060C2211yescharacteristic, complemented
66#15689059C2211yescharacteristic, complemented
67#15689057C2211yescharacteristic, complemented
68#15689056C2211yescharacteristic, complemented
69#15689056C2211yescharacteristic, complemented
70#15689055C2211yescharacteristic, complemented
71#15689055C2211yescharacteristic, complemented
72#15689054C2211yescharacteristic, complemented
73#15689052C2211yescharacteristic, complemented
74#15689052C2211yescharacteristic, complemented
75#15689051C2211yescharacteristic, complemented
76#15689050C2211yescharacteristic, complemented
77#15689049C2211yescharacteristic, complemented
78#15689049C2211yescharacteristic, complemented
79#15689045C2211yescharacteristic, complemented
80#15689045C2211yescharacteristic, complemented
81#15689045C2211yescharacteristic, complemented
82#15689045C2211yescharacteristic, complemented
83#15689041C2211yescharacteristic, complemented
84#15689040C2211yescharacteristic, complemented
85#15689039C2211yescharacteristic
86#15689039C2211yescharacteristic
87#15689039C2211yescharacteristic, complemented
88#15689038C2211yescharacteristic
89#15689038C2211yescharacteristic
90#15689038C2211yescharacteristic
91#15689038C2211yescharacteristic
92#15689038C2211yescharacteristic, complemented
93#15689036C2211yescharacteristic, complemented
94#15689036C2211yescharacteristic, complemented
95#15689032C2211yescharacteristic
96#15689032C2211yescharacteristic
97#15689027C2211yescharacteristic, complemented
98#15689025C2211yescharacteristic, complemented
99#15689025C2211yescharacteristic, complemented
100#15689021C2211yescharacteristic, complemented
101#15689017C2211yescharacteristic, complemented
102#15689016C2211yescharacteristic, complemented
103#15689015C2211yescharacteristic, complemented
104#15689015C2211yescharacteristic, complemented
105#15689014C2211yescharacteristic, complemented
106#15689014C2211yescharacteristic, complemented
107#15689009C2211yescharacteristic, complemented
108#15689007C2211yescharacteristic, complemented
109#15689007C2211yescharacteristic, complemented
110#15689002C2211yescharacteristic
111#15689001C2211yescharacteristic, complemented
112#15689001C2211yescharacteristic, complemented
113#15689001C2211yescharacteristic, complemented
114#15689000C2211yescharacteristic
115#15689000C2211yescharacteristic
116#15689000C2211yescharacteristic
117#15689000C2211yescharacteristic
118#15689000C2211yescharacteristic
119#15689000C2211yescharacteristic
120#15689000C2211yescharacteristic
121#15689000C2211yescharacteristic
122#15689000C2211yescharacteristic
123#15689000C2211yescharacteristic
124#15689000C2211yescharacteristic
125#15689000C2211yescharacteristic, complemented
126#15689000C2211yescharacteristic, complemented
127#15688999C2211yescharacteristic
128#15688999C2211yescharacteristic
129#15688999C2211yescharacteristic
130#15688999C2211yescharacteristic
131#15688999C2211yescharacteristic, complemented
132#15688998C2211yescharacteristic
133#15688998C2211yescharacteristic
134#15688998C2211yescharacteristic
135#15688998C2211yescharacteristic
136#15688998C2211yescharacteristic, complemented
137#15688998C2211yescharacteristic, complemented
138#15688998C2211yescharacteristic, complemented
139#15688998C2211yescharacteristic, complemented
140#15688997C2211yescharacteristic, complemented
141#15688997C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic, complemented
143#15688997C2211yescharacteristic, complemented
144#15688996C2211yescharacteristic
145#15688995C2211yescharacteristic
146#15688995C2211yescharacteristic
147#15688995C2211yescharacteristic
148#15688995C2211yescharacteristic, complemented
149#15688995C2211yescharacteristic, complemented
150#15688994C2211yescharacteristic, complemented
151#15688994C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic, complemented
153#15688994C2211yescharacteristic, complemented
154#15688989C2211yescharacteristic, complemented
155#15688985C2211yescharacteristic, complemented
156#15688984C2211yescharacteristic, complemented
157#15688984C2211yescharacteristic, complemented
158#15688983C2211yescharacteristic
159#15688982C2211yescharacteristic, complemented
160#15688982C2211yescharacteristic, complemented
161#15688982C2211yescharacteristic, complemented
162#15688981C2211yescharacteristic
163#15688981C2211yescharacteristic, complemented
164#15688981C2211yescharacteristic, complemented
165#15688980C2211yescharacteristic, complemented
166#15688980C2211yescharacteristic, complemented
167#15688980C2211yescharacteristic, complemented
168#15688979C2211yescharacteristic
169#15688978C2211yescharacteristic
170C2×C47⋊#95C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C2×#126×C47C2211yescharacteristic, complemented
173C22×C22⋊C4×C47C2211yescharacteristic
174C47×#397C2211yescharacteristic, complemented
175C47×#397C2211yescharacteristic, complemented
176C47×#397C2211yescharacteristic, complemented
177C47×#396C2211yescharacteristic, complemented
178C47×#388C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#388C2211yescharacteristic, complemented
181C47×#385C2211yescharacteristic
182C47×#385C2211yescharacteristic
183C47×#380C2211yescharacteristic
184C47×#379C2211yescharacteristic
185C47×#379C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C22⋊D47—24no—
192C22×C22⋊D47—42no—
193C22×C22⋊D47—42no—
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C23×Dic47—42no—
202C23×Dic47—42no—
203C23×Dic47—42no—
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216#13094009—42no—
217#13094008—42no—
218#13094008—42no—
219#13094006—42no—
220#13094006—42no—
221#13094006—42no—
222#13094004—42no—
223#13094001—42no—
224#13094001—42no—
225#13094001—42no—
226#13093997—42no—
227#13093997—42no—
228#13093994—24no—
229#13093993—42no—
230C4×C22⋊D47—42no—
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
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×(C2×D47)⋊C4—42no—
265C2×(C2×D47)⋊C4—42no—
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C22⋊C4×D47—24no—
294C22⋊C4×D47—42no—
295C2×C4×Dic47C2311yescharacteristic
296C47⋊#95C2311yescharacteristic
297C47⋊#95C2311yescharacteristic
298C47⋊#95C2311yescharacteristic
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
332C25×C47C2311yescharacteristic
333C23×C4×C47C2311yescharacteristic
334C23×C4×C47C2311yescharacteristic
335#126×C47—42no—
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47—42no—
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47—22no—
370C24×C47—22no—
371C24×C47—22no—
372C24×C47—22no—
373C24×C47—22no—
374C24×C47—41no—
375C24×C47—41no—
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C24×C47C2411yescharacteristic
379C23×D47—22no—
380C23×D47—22no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47—41no—
385C23×D47#4114yes—
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C22×C4×C47—22no—
390C22×C4×C47—22no—
391C22×C4×C47—41no—
392C22×C4×C47—41no—
393C22×C4×C47—41no—
394C22×C4×C47—41no—
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C2×C22⋊D47—22no—
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—22no—
414C2×C22⋊D47—22no—
415C2×C22⋊D47—22no—
416C2×C22⋊D47—22no—
417C2×C22⋊D47—22no—
418C2×C22⋊D47—22no—
419C2×C22⋊D47—22no—
420C2×C22⋊D47—41no—
421C2×C22⋊D47—41no—
422C2×C22⋊D47—41no—
423C2×C22⋊D47—41no—
424C2×C22⋊D47—41no—
425C2×C22⋊D47—41no—
426C2×C22⋊D47—41no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47—416no—
429C22×Dic47—22no—
430C22×Dic47—22no—
431C22×Dic47—22no—
432C22×Dic47—22no—
433C22×Dic47—22no—
434C22×Dic47—22no—
435C22×Dic47—22no—
436C22×Dic47—22no—
437C22×Dic47—41no—
438C22×Dic47—41no—
439C22×Dic47—41no—
440C22×Dic47—41no—
441C22×Dic47—41no—
442C22×Dic47—41no—
443C22×Dic47—41no—
444C22×Dic47—41no—
445C22×Dic47—41no—
446C22×Dic47—41no—
447C22×Dic47—41no—
448C22×Dic47—41no—
449C22×Dic47—41no—
450C22×Dic47—416no—
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C2×D188—22no—
465C2×D188—22no—
466C2×D188—41no—
467C2×D188—41no—
468C2×D188—41no—
469C2×D188—41no—
470C2×C4×D47—22no—
471C2×C4×D47—22no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C2×C4×D47—41no—
484C2×C4×D47—41no—
485C2×Dic94—22no—
486C2×Dic94—41no—
487C2×Dic94—41no—
488C4⋊C4×C47—41no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C4⋊C4×C47—41no—
493C4⋊C4×C47—41no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—22no—
497C22⋊C4×C47—22no—
498C22⋊C4×C47—22no—
499C22⋊C4×C47—22no—
500C22⋊C4×C47—22no—
501C22⋊C4×C47—22no—
502C22⋊C4×C47—22no—
503C22⋊C4×C47—22no—
504C22⋊C4×C47—41no—
505C22⋊C4×C47—41no—
506C22⋊C4×C47—41no—
507C22⋊C4×C47—41no—
508C22⋊C4×C47—41no—
509C22⋊C4×C47—41no—
510C42×C47—41no—
511C42×C47—41no—
512C22⋊Dic47—22no—
513C22⋊Dic47—22no—
514C22⋊Dic47—22no—
515C22⋊Dic47—22no—
516C22⋊Dic47—22no—
517C22⋊Dic47—41no—
518C22⋊Dic47—41no—
519C22⋊Dic47—41no—
520C22⋊Dic47—41no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546(C2×D47)⋊C4—41no—
547(C2×D47)⋊C4—41no—
548C4⋊Dic47—22no—
549C4⋊Dic47—41no—
550C4⋊Dic47—41no—
551C4⋊Dic47—41no—
552C4⋊Dic47—41no—
553C4⋊Dic47—41no—
554C4⋊Dic47—41no—
555C4⋊Dic47—41no—
556C4⋊Dic47—41no—
557C4⋊Dic47—41no—
558C4⋊Dic47—41no—
559Dic47⋊C4—22no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4—41no—
563Dic47⋊C4—41no—
564Dic47⋊C4—41no—
565Dic47⋊C4—41no—
566Dic47⋊C4—41no—
567Dic47⋊C4—41no—
568Dic47⋊C4—41no—
569Dic47⋊C4—41no—
570Dic47⋊C4—41no—
571Dic47⋊C4—41no—
572C4×Dic47—41no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—28no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—44no—
591C23×C47—44no—
592C23×C47—44no—
593C23×C47—44no—
594C23×C47—44no—
595C23×C47—44no—
596C23×C47C2×#4112yes—
597C23×C47H(5,𝔽2)12yes—
598C23×C47H(5,𝔽2)12yes—
599C23×C47H(5,𝔽2)12yes—
600C23×C472−1+412yes—
601C23×C47C2511yescharacteristic
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—28no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—44no—
623C22×D47—44no—
624C22×D47—82no—
625C22×D47—82no—
626C22×D47—82no—
627C22×D47—82no—
628C22×D47C2×#4112yes—
629C22×D47C2×#4112yes—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—82no—
667C2×C4×C47—82no—
668C22⋊D47—44no—
669C22⋊D47—44no—
670C22⋊D47—44no—
671C22⋊D47—44no—
672C22⋊D47—44no—
673C22⋊D47—82no—
674C22⋊D47—82no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—44no—
714C2×Dic47—44no—
715C2×Dic47—44no—
716C2×Dic47—44no—
717C2×Dic47—44no—
718C2×Dic47—44no—
719C2×Dic47—44no—
720C2×Dic47H(5,𝔽2)12yes—
721D188—82no—
722D188—82no—
723C4×D47—82no—
724C4×D47—82no—
725C4×D47—82no—
726C4×D47—82no—
727C4×D47—82no—
728Dic94—82no—
729#36775—471nomaximal, Sylow
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
734C22×C47—22no—
735C22×C47—22no—
736C22×C47—22no—
737C22×C47—22no—
738C22×C47—22no—
739C22×C47—22no—
740C22×C47—22no—
741C22×C47—22no—
742C22×C47—416no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47—41no—
750C22×C47—41no—
751C22×C47#53914yes—
752C22×C47C22×#4111yescharacteristic
753C22×C47C2×H(5,𝔽2)11yescharacteristic
754C22×C47C2×H(5,𝔽2)11yescharacteristic
755C22×C47C2×H(5,𝔽2)11yescharacteristic
756C22×C47C2×H(5,𝔽2)11yescharacteristic
757C22×C47C2×2−1+411yescharacteristic
758C22×C47#58511yescharacteristic
759C2×D47—22no—
760C2×D47—22no—
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—22no—
764C2×D47—22no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—41no—
780C2×D47—88no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788C4×C47—41no—
789C4×C47—41no—
790C4×C47—41no—
791C4×C47—41no—
792C4×C47—41no—
793Dic47—22no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801Dic47—41no—
802Dic47—41no—
803Dic47—41no—
804Dic47—41no—
805Dic47—41no—
806#2849—471no—
807#2848—471no—
808#2782—471no—
809#2750—471no—
810#2746—471no—
811#2746—471no—
812#2743—471no—
813#2728—471no—
814#2708—471no—
815#2708—471no—
816#2706—471no—
817#2696—471no—
818#2695—471no—
819#2693—471no—
820#2693—471no—
821#2691—471no—
822#2687—471no—
823#2681—471no—
824#2646—471no—
825#2643—471no—
826#2505—471no—
827#2480D4711yescharacteristic, complemented
828#2450—471no—
829#2437—471no—
830#2418—471no—
831#2412—471no—
832#2410—471no—
833#2405—471no—
834#2321—471no—
835#2315—471no—
836C2×#386—471no—
837C2×C47—24no—
838C2×C47—42no—
839C2×C47—42no—
840C2×C47C2×#53911yescharacteristic
841C2×C47#349011yescharacteristic
842C2×C47#350511yescharacteristic
843C2×C47#353211yescharacteristic
844C2×C47#353411yescharacteristic
845C2×C47#353511yescharacteristic
846C2×C47#353611yescharacteristic
847D47—42no—
848D47—42no—
849D47—81no—
850C23×D4—471no—
851C24×C4—471no—
852C2×#126C2×D4711yescharacteristic, complemented
853C2×#123—471no—
854C2×#123—471no—
855C2×#123—471no—
856C2×#123—471no—
857C2×#123—471no—
858C2×#123—471no—
859C2×C22⋊Q8—471no—
860C2×C22⋊Q8—471no—
861C2×C22⋊Q8—471no—
862C2×C22⋊Q8—471no—
863C2×#121—471no—
864C2×#121—471no—
865C2×#120—471no—
866C2×#120—471no—
867C2×C4×D4—471no—
868C22×C22⋊C4—471no—
869C22×C22⋊C4—471no—
870C22×C22⋊C4—471no—
871C22×C22⋊C4—471no—
872C22×C22⋊C4C2×D4711yescharacteristic
873#401—471no—
874#400—471no—
875#400—471no—
876#400—471no—
877#400—471no—
878#400—471no—
879#400—471no—
880#400—471no—
881#400—471no—
882#400—471no—
883#400—471no—
884#400—471no—
885#399—471no—
886#399—471no—
887#398—471no—
888#398—471no—
889#398—471no—
890#398—471no—
891#398—471no—
892#398—471no—
893#397—471no—
894#397—471no—
895#397—471no—
896#397—471no—
897#397—471no—
898#397—471no—
899#397C2×D4711yescharacteristic, complemented
900#397C2×D4711yescharacteristic, complemented
901#397C2×D4711yescharacteristic, complemented
902#396—471no—
903#396—471no—
904#396—471no—
905#396—471no—
906#396C2×D4711yescharacteristic, complemented
907#394—471no—
908#394—471no—
909#394—471no—
910#394—471no—
911#394—471no—
912#394—471no—
913#394—471no—
914#394—471no—
915#394—471no—
916#394—471no—
917#393—471no—
918#393—471no—
919#392—471no—
920#392—471no—
921#391—471no—
922#390—471no—
923#390—471no—
924#389—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388—471no—
929#388—471no—
930#388—471no—
931#388C2×D4711yescharacteristic, complemented
932#388C2×D4711yescharacteristic, complemented
933#388C2×D4711yescharacteristic, complemented
934#387—471no—
935#387—471no—
936#387—471no—
937#386—471no—
938#386—471no—
939#386—471no—
940#386—471no—
941#386—471no—
942#386—471no—
943#386—471no—
944#386—471no—
945#386—471no—
946#386—471no—
947#386—471no—
948#386—471no—
949#386—471no—
950#386—471no—
951#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#385—471no—
960#385—471no—
961#385—471no—
962#385—471no—
963#385—471no—
964#385—471no—
965#385—471no—
966#385—471no—
967#385—471no—
968#385—471no—
969#385—471no—
970#385—471no—
971#385—471no—
972#385—471no—
973#385—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385—471no—
981#385C2×D4711yescharacteristic
982#385C2×D4711yescharacteristic
983#382—471no—
984#381—471no—
985#381—471no—
986#381—471no—
987#380—471no—
988#380—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#380—471no—
993#380—471no—
994#380—471no—
995#380—471no—
996#380—471no—
997#380C2×D4711yescharacteristic
998#379—471no—
999#379—471no—
1000#379C2×D4711yescharacteristic
1001#379C2×D4711yescharacteristic
1002C4×C22⋊C4C2×D4711yescharacteristic
1003C2×#95—471no—
1004C2×#95—471no—
1005C47#3677511yescharacteristic, complemented, Sylow
1006C25—471no—
1007C25C22×D4711yescharacteristic
1008C22×Q8—471no—
1009C22×D4—471no—
1010C22×D4—471no—
1011C22×D4—471no—
1012C22×D4—471no—
1013C22×D4—471no—
1014C22×D4—471no—
1015C22×D4—471no—
1016C22×D4—471no—
1017C22×D4—471no—
1018C22×D4—944no—
1019C22×D4—1882no—
1020C22×D4—1882no—
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—471no—
1028C23×C4—471no—
1029C23×C4—471no—
1030C23×C4—471no—
1031C23×C4—471no—
1032C23×C4—471no—
1033C23×C4—1882no—
1034C23×C4—1882no—
1035C23×C4—1882no—
1036C23×C4C22×D4711yescharacteristic
1037C23×C4C22×D4711yescharacteristic
1038#126—42no—
1039#123—1882no—
1040#123—1882no—
1041#123—1882no—
1042#123—1882no—
1043#123—1882no—
1044#123—1882no—
1045C22⋊Q8—1882no—
1046C22⋊Q8—1882no—
1047C22⋊Q8—1882no—
1048C22⋊Q8—1882no—
1049#121—1882no—
1050#121—1882no—
1051#120—944no—
1052#120—1882no—
1053C4×D4—1882no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4—471no—
1078C2×C4⋊C4C22×D4711yescharacteristic
1079C2×C4⋊C4C22×D4711yescharacteristic
1080C2×C4⋊C4C22×D4711yescharacteristic
1081C2×C4⋊C4C22×D4711yescharacteristic
1082C2×C4⋊C4C22×D4711yescharacteristic
1083C2×C4⋊C4C22×D4711yescharacteristic
1084C2×C22⋊C4—42no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—944no—
1122C2×C22⋊C4—1882no—
1123C2×C22⋊C4—1882no—
1124C2×C22⋊C4—1882no—
1125C2×C22⋊C4C22×D4711yescharacteristic
1126C2×C22⋊C4C22×D4711yescharacteristic
1127C2×C22⋊C4C22×D4711yescharacteristic
1128C2×C22⋊C4C22×D4711yescharacteristic
1129C2×C22⋊C4C22×D4711yescharacteristic
1130C2×C22⋊C4C22×D4711yescharacteristic
1131C2×C22⋊C4C22×D4711yescharacteristic
1132C2×C22⋊C4C22×D4711yescharacteristic
1133C2×C22⋊C4C22×D4711yescharacteristic
1134C2×C22⋊C4C22×D4711yescharacteristic
1135C2×C22⋊C4C22×D4711yescharacteristic
1136C2×C22⋊C4C22×D4711yescharacteristic
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C22⋊C4C22×D4711yescharacteristic
1139C2×C22⋊C4C22×D4711yescharacteristic
1140C2×C22⋊C4C22×D4711yescharacteristic
1141C2×C42—471no—
1142C2×C42C22×D4711yescharacteristic
1143C2×C42C22×D4711yescharacteristic
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95C22×D4711yescharacteristic
1181#95C22×D4711yescharacteristic
1182#95C22×D4711yescharacteristic
1183#95C22×D4711yescharacteristic
1184#95C22×D4711yescharacteristic
1185#95C22×D4711yescharacteristic
1186#95C22×D4711yescharacteristic
1187#95C22×D4711yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—41no—
1194C24—41no—
1195C24—471no—
1196C24—471no—
1197C24—474no—
1198C24—471no—
1199C24—942no—
1200C24—942no—
1201C24—1881no—
1202C24—1881no—
1203C24—1881no—
1204C24—1881no—
1205C24C23×D4711yescharacteristic
1206C24C23×D4711yescharacteristic
1207C24C23×D4711yescharacteristic
1208C2×Q8—942no—
1209C2×Q8—1881no—
1210C2×Q8—1881no—
1211C2×D4—942no—
1212C2×D4—942no—
1213C2×D4—942no—
1214C2×D4—942no—
1215C2×D4—942no—
1216C2×D4—942no—
1217C2×D4—942no—
1218C2×D4—942no—
1219C2×D4—942no—
1220C2×D4—942no—
1221C2×D4—942no—
1222C2×D4—942no—
1223C2×D4—942no—
1224C2×D4—942no—
1225C2×D4—942no—
1226C2×D4—1881no—
1227C2×D4—1881no—
1228C2×D4—1881no—
1229C2×D4—1881no—
1230C2×D4—1881no—
1231C2×D4—1881no—
1232C2×D4—1881no—
1233C2×D4—1881no—
1234C2×D4—1881no—
1235C2×D4—1881no—
1236C2×D4—1881no—
1237C2×D4—1881no—
1238C2×D4—18816no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—471no—
1246C22×C4—471no—
1247C22×C4—471no—
1248C22×C4—471no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—471no—
1252C22×C4—471no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—942no—
1259C22×C4—942no—
1260C22×C4—942no—
1261C22×C4—942no—
1262C22×C4—942no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—1881no—
1269C22×C4—1881no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4—1881no—
1280C22×C4—1881no—
1281C22×C4—1881no—
1282C22×C4—1881no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4—1881no—
1290C22×C4—1881no—
1291C22×C4—1881no—
1292C22×C4—1881no—
1293C22×C4—1881no—
1294C22×C4—18816no—
1295C22×C4C23×D4711yescharacteristic
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C22×C4C23×D4711yescharacteristic
1300C22×C4C23×D4711yescharacteristic
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C22×C4C23×D4711yescharacteristic
1304C22×C4C23×D4711yescharacteristic
1305C22×C4C23×D4711yescharacteristic
1306C22×C4C23×D4711yescharacteristic
1307C4⋊C4—41no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—942no—
1314C4⋊C4—942no—
1315C4⋊C4—1881no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4—1881no—
1319C4⋊C4—1881no—
1320C4⋊C4—1881no—
1321C4⋊C4—1881no—
1322C4⋊C4—1881no—
1323C4⋊C4—1881no—
1324C4⋊C4—1881no—
1325C4⋊C4—1881no—
1326C4⋊C4—1881no—
1327C4⋊C4—1881no—
1328C4⋊C4—1881no—
1329C4⋊C4—1881no—
1330C4⋊C4—1881no—
1331C4⋊C4—1881no—
1332C4⋊C4—1881no—
1333C4⋊C4—1881no—
1334C4⋊C4—1881no—
1335C4⋊C4—1881no—
1336C4⋊C4—1881no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—41no—
1350C22⋊C4—41no—
1351C22⋊C4—41no—
1352C22⋊C4—41no—
1353C22⋊C4—942no—
1354C22⋊C4—942no—
1355C22⋊C4—942no—
1356C22⋊C4—942no—
1357C22⋊C4—942no—
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⋊C4—1881no—
1374C22⋊C4—1881no—
1375C22⋊C4—1881no—
1376C22⋊C4—1881no—
1377C22⋊C4—1881no—
1378C22⋊C4—1881no—
1379C22⋊C4—1881no—
1380C22⋊C4—1881no—
1381C22⋊C4—1881no—
1382C22⋊C4—1881no—
1383C22⋊C4—1881no—
1384C22⋊C4—1881no—
1385C22⋊C4—1881no—
1386C22⋊C4—1881no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C42—41no—
1390C42—41no—
1391C42—1881no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—28no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—44no—
1410C23—44no—
1411C23—44no—
1412C23—44no—
1413C23—44no—
1414C23—44no—
1415C23—472no—
1416C23—472no—
1417C23—948no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—941no—
1431C23—941no—
1432C23—941no—
1433C23—941no—
1434C23—941no—
1435C23—941no—
1436C23—941no—
1437C23—3762no—
1438C23—3762no—
1439C23—3762no—
1440C23—3762no—
1441C23—1884no—
1442C23—1884no—
1443C23#41×D4712yes—
1444C23#1309406912yes—
1445C23#1309407012yes—
1446C23#1309407012yes—
1447C23#1309407112yes—
1448C23C24×D4711yescharacteristic
1449Q8—3762no—
1450D4—3762no—
1451D4—3762no—
1452D4—3762no—
1453D4—3762no—
1454D4—1884no—
1455D4—1884no—
1456D4—1884no—
1457D4—1884no—
1458D4—1884no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—472no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—3762no—
1537C2×C4—3762no—
1538C2×C4—3762no—
1539C2×C4—3762no—
1540C2×C4—3762no—
1541C2×C4—1884no—
1542C2×C4—1884no—
1543C2×C4—1884no—
1544C2×C4—1884no—
1545C2×C4—1884no—
1546C2×C4—1884no—
1547C2×C4—1884no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—416no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—942no—
1570C22—942no—
1571C22—942no—
1572C22—942no—
1573C22—942no—
1574C22—942no—
1575C22—3768no—
1576C22—1881no—
1577C22—1881no—
1578C22—1881no—
1579C22—1881no—
1580C22—1881no—
1581C22—1881no—
1582C22—1881no—
1583C22—1881no—
1584C22—1881no—
1585C22—1881no—
1586C22—1881no—
1587C22—1881no—
1588C22—1881no—
1589C22—1881no—
1590C22—1881no—
1591C22#1568971414yes—
1592C22C2×#41×D4711yescharacteristic
1593C22H(5,𝔽2)×D4711yescharacteristic
1594C22C2×#1309406911yescharacteristic
1595C22C2×#1309407011yescharacteristic
1596C22C2×#1309407011yescharacteristic
1597C22C2×#1309407111yescharacteristic
1598C22#1568995811yescharacteristic
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—942no—
1612C4—1881no—
1613C4—1881no—
1614C4—1881no—
1615C4—1881no—
1616C4—1881no—
1617C4—1881no—
1618C4—1881no—
1619C4—1881no—
1620C4—1881no—
1621C4—1881no—
1622C4—1881no—
1623C4—1881no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—3761no—
1628C2—1882no—
1629C2—1882no—
1630C2C2×#1568971411yescharacteristic
1631C2#2025707111yescharacteristic
1632C2#2025722611yescharacteristic
1633C2#2025754411yescharacteristic
1634C2#2025757411yescharacteristic
1635C2#2025759311yescharacteristic
1636C2#2025760311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2480C2
prime radical#20246764C2
hypercenter#2480D47
hypocenterC47#36775
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2480

Complements

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

NH ≅ G/Ntype
1. #20251682C2semidirect
2. #20251673C2semidirect
3. #20251065C2semidirect
4. #20250632C2semidirect
5. #20250579C2semidirect
6. #20250566C2semidirect
7. #20250528C2semidirect
8. #20250360C2semidirect
9. #20250112C2semidirect
10. #20250105C2semidirect
11. #20250074C2semidirect
12. #20249935C2semidirect
13. #20249917C2semidirect
14. #20249900C2semidirect
15. #20249892C2semidirect
16. #20249863C2semidirect
17. #20249811C2semidirect
18. #20249738C2semidirect
19. #20249361C2semidirect
20. #20249344C2semidirect
21. #20247883C2semidirect
22. #20247214C2semidirect
23. #20247052C2semidirect
24. #20246850C2semidirect
25. #20246781C2semidirect
27. #20246713C2semidirect
28. #20246048C2semidirect
29. #20245999C2semidirect
30. C2×#15689000C2semidirect
31. C47×#2480C2semidirect
34. C2×#13094009C22semidirect
35. C2×#13094008C22semidirect
36. C2×#13094008C22semidirect
39. C2×#13094006C22semidirect
40. C2×#13094004C22semidirect
42. C2×#13094001C22semidirect
43. C2×#13094001C22semidirect
53. C47⋊#401C22semidirect
54. #15689065C22semidirect
55. #15689065C22semidirect
56. #15689065C22semidirect
57. #15689065C22semidirect
58. #15689065C22semidirect
59. #15689065C22semidirect
60. #15689064C22semidirect
61. #15689062C22semidirect
62. #15689062C22semidirect
63. #15689062C22semidirect
64. #15689061C22semidirect
65. #15689060C22semidirect
66. #15689059C22semidirect
67. #15689057C22semidirect
68. #15689056C22semidirect
69. #15689056C22semidirect
70. #15689055C22semidirect
71. #15689055C22semidirect
72. #15689054C22semidirect
73. #15689052C22semidirect
74. #15689052C22semidirect
75. #15689051C22semidirect
76. #15689050C22semidirect
77. #15689049C22semidirect
78. #15689049C22semidirect
79. #15689045C22semidirect
80. #15689045C22semidirect
81. #15689045C22semidirect
82. #15689045C22semidirect
83. #15689041C22semidirect
84. #15689040C22semidirect
87. #15689039C22semidirect
92. #15689038C22semidirect
93. #15689036C22semidirect
94. #15689036C22semidirect
97. #15689027C22semidirect
98. #15689025C22semidirect
99. #15689025C22semidirect
100. #15689021C22semidirect
101. #15689017C22semidirect
102. #15689016C22semidirect
103. #15689015C22semidirect
104. #15689015C22semidirect
105. #15689014C22semidirect
106. #15689014C22semidirect
107. #15689009C22semidirect
108. #15689007C22semidirect
109. #15689007C22semidirect
111. #15689001C22semidirect
112. #15689001C22semidirect
113. #15689001C22semidirect
125. #15689000C22semidirect
126. #15689000C22semidirect
131. #15688999C22semidirect
136. #15688998C22semidirect
137. #15688998C22semidirect
138. #15688998C22semidirect
139. #15688998C22semidirect
140. #15688997C22semidirect
141. #15688997C22semidirect
142. #15688997C22semidirect
143. #15688997C22semidirect
148. #15688995C22semidirect
149. #15688995C22semidirect
150. #15688994C22semidirect
151. #15688994C22semidirect
152. #15688994C22semidirect
153. #15688994C22semidirect
154. #15688989C22semidirect
155. #15688985C22semidirect
156. #15688984C22semidirect
157. #15688984C22semidirect
159. #15688982C22semidirect
160. #15688982C22semidirect
161. #15688982C22semidirect
163. #15688981C22semidirect
164. #15688981C22semidirect
165. #15688980C22semidirect
166. #15688980C22semidirect
167. #15688980C22semidirect
172. C2×#126×C47C22semidirect
174. C47×#397C22semidirect
175. C47×#397C22semidirect
176. C47×#397C22semidirect
177. C47×#396C22semidirect
178. C47×#388C22semidirect
179. C47×#388C22semidirect
180. C47×#388C22semidirect
827. #2480D47semidirect
852. C2×#126C2×D47semidirect
899. #397C2×D47semidirect
900. #397C2×D47semidirect
901. #397C2×D47semidirect
906. #396C2×D47semidirect
931. #388C2×D47semidirect
932. #388C2×D47semidirect
933. #388C2×D47semidirect
1005. C47#36775semidirect

Maximal subgroups

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

subgroupindex
#202516822
#202516732
#202510652
#202506322
#202505792
#202505662
#202505282
#202503602
#202501122
#202501052
#202500742
#202499352
#202499172
#202499002
#202498922
#202498632
#202498112
#202497382
#202493612
#202493442
#202478832
#202472142
#202470522
#202468502
#202467812
#202467642
#202467132
#202460482
#202459992
C2×#156890002
C47×#24802
#3677547