Finite Group Databasebeta

← #26424137

Subgroups — #26424137

Order 12032.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251674C211yesmaximal, characteristic, complemented
2#20251667C211yesmaximal, characteristic, complemented
3#20251250C211yesmaximal, characteristic, complemented
4#20251057C211yesmaximal, characteristic, complemented
5#20251015C211yesmaximal, characteristic, complemented
6#20251002C211yesmaximal, characteristic, complemented
7#20251001C211yesmaximal, characteristic, complemented
8#20250717C211yesmaximal, characteristic, complemented
9#20250662C211yesmaximal, characteristic, complemented
10#20250617C211yesmaximal, characteristic, complemented
11#20250509C211yesmaximal, characteristic, complemented
12#20250384C211yesmaximal, characteristic, complemented
13#20250189C211yesmaximal, characteristic, complemented
14#20250034C211yesmaximal, characteristic, complemented
15#20250014C211yesmaximal, characteristic, complemented
16#20249938C211yesmaximal, characteristic, complemented
17#20249822C211yesmaximal, characteristic, complemented
18#20249691C211yesmaximal, characteristic, complemented
19#20249104C211yesmaximal, characteristic, complemented
20#20249104C211yesmaximal, characteristic, complemented
21#20247773C211yesmaximal, characteristic, complemented
22#20247718C211yesmaximal, characteristic, complemented
23#20247641C211yesmaximal, characteristic, complemented
24#20247516C211yesmaximal, characteristic, complemented
25#20246930C211yesmaximal, characteristic, complemented
26#20246861C211yesmaximal, characteristic, complemented
27#20246844C211yesmaximal, characteristic, complemented
28#20246051C211yesmaximal, characteristic, complemented
29#20246042C211yesmaximal, characteristic, complemented
30C2×#15689001C211yesmaximal, characteristic, complemented
31C47×#2425C211yesmaximal, characteristic, complemented
32C23×D188C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094010C2211yescharacteristic, complemented
36C2×#13094007C2211yescharacteristic, complemented
37C2×#13094002C2211yescharacteristic, complemented
38C2×#13094002C2211yescharacteristic, complemented
39C2×#13094001C2211yescharacteristic
40C2×#13093996C2211yescharacteristic, complemented
41C2×#13093995C2211yescharacteristic, complemented
42C2×#13093995C2211yescharacteristic, complemented
43C2×#13093992C2211yescharacteristic
44C2×#13093992C2211yescharacteristic
45C2×#13093992C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×D4×Dic47C2211yescharacteristic
48C22×(C2×D47)⋊C4C2211yescharacteristic
49C22×(C2×D47)⋊C4C2211yescharacteristic
50C22×(C2×D47)⋊C4C2211yescharacteristic
51C47⋊#401C2211yescharacteristic, complemented
52#15689065C2211yescharacteristic, complemented
53#15689064C2211yescharacteristic, complemented
54#15689063C2211yescharacteristic, complemented
55#15689062C2211yescharacteristic, complemented
56#15689061C2211yescharacteristic, complemented
57#15689061C2211yescharacteristic, complemented
58#15689058C2211yescharacteristic, complemented
59#15689053C2211yescharacteristic, complemented
60#15689052C2211yescharacteristic, complemented
61#15689052C2211yescharacteristic, complemented
62#15689051C2211yescharacteristic, complemented
63#15689051C2211yescharacteristic, complemented
64#15689050C2211yescharacteristic, complemented
65#15689049C2211yescharacteristic, complemented
66#15689049C2211yescharacteristic, complemented
67#15689048C2211yescharacteristic, complemented
68#15689045C2211yescharacteristic, complemented
69#15689045C2211yescharacteristic, complemented
70#15689040C2211yescharacteristic
71#15689040C2211yescharacteristic
72#15689040C2211yescharacteristic
73#15689040C2211yescharacteristic
74#15689040C2211yescharacteristic
75#15689040C2211yescharacteristic
76#15689040C2211yescharacteristic
77#15689040C2211yescharacteristic
78#15689039C2211yescharacteristic, complemented
79#15689039C2211yescharacteristic, complemented
80#15689038C2211yescharacteristic, complemented
81#15689038C2211yescharacteristic, complemented
82#15689038C2211yescharacteristic, complemented
83#15689038C2211yescharacteristic, complemented
84#15689036C2211yescharacteristic, complemented
85#15689035C2211yescharacteristic, complemented
86#15689032C2211yescharacteristic
87#15689032C2211yescharacteristic
88#15689032C2211yescharacteristic
89#15689032C2211yescharacteristic
90#15689032C2211yescharacteristic
91#15689032C2211yescharacteristic
92#15689032C2211yescharacteristic
93#15689032C2211yescharacteristic
94#15689031C2211yescharacteristic, complemented
95#15689028C2211yescharacteristic, complemented
96#15689023C2211yescharacteristic, complemented
97#15689023C2211yescharacteristic, complemented
98#15689023C2211yescharacteristic, complemented
99#15689023C2211yescharacteristic, complemented
100#15689023C2211yescharacteristic, complemented
101#15689023C2211yescharacteristic, complemented
102#15689017C2211yescharacteristic, complemented
103#15689017C2211yescharacteristic, complemented
104#15689015C2211yescharacteristic, complemented
105#15689015C2211yescharacteristic, complemented
106#15689015C2211yescharacteristic, complemented
107#15689015C2211yescharacteristic, complemented
108#15689014C2211yescharacteristic, complemented
109#15689014C2211yescharacteristic, complemented
110#15689014C2211yescharacteristic, complemented
111#15689014C2211yescharacteristic, complemented
112#15689013C2211yescharacteristic, complemented
113#15689013C2211yescharacteristic, complemented
114#15689013C2211yescharacteristic, complemented
115#15689013C2211yescharacteristic, complemented
116#15689012C2211yescharacteristic, complemented
117#15689012C2211yescharacteristic, complemented
118#15689012C2211yescharacteristic, complemented
119#15689012C2211yescharacteristic, complemented
120#15689010C2211yescharacteristic, complemented
121#15689008C2211yescharacteristic, complemented
122#15689005C2211yescharacteristic, complemented
123#15689004C2211yescharacteristic, complemented
124#15689004C2211yescharacteristic, complemented
125#15689003C2211yescharacteristic
126#15689003C2211yescharacteristic
127#15689003C2211yescharacteristic
128#15689002C2211yescharacteristic, complemented
129#15689002C2211yescharacteristic, complemented
130#15689002C2211yescharacteristic, complemented
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic
137#15689001C2211yescharacteristic
138#15689001C2211yescharacteristic
139#15689000C2211yescharacteristic, complemented
140#15689000C2211yescharacteristic, complemented
141#15689000C2211yescharacteristic, complemented
142#15688999C2211yescharacteristic, complemented
143#15688999C2211yescharacteristic, complemented
144#15688999C2211yescharacteristic, complemented
145#15688999C2211yescharacteristic, complemented
146#15688997C2211yescharacteristic, complemented
147#15688997C2211yescharacteristic, complemented
148#15688996C2211yescharacteristic
149#15688996C2211yescharacteristic
150#15688995C2211yescharacteristic
151#15688995C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic, complemented
153#15688994C2211yescharacteristic, complemented
154#15688990C2211yescharacteristic, complemented
155#15688988C2211yescharacteristic, complemented
156#15688986C2211yescharacteristic
157#15688986C2211yescharacteristic
158#15688984C2211yescharacteristic, complemented
159#15688983C2211yescharacteristic
160#15688982C2211yescharacteristic, complemented
161#15688982C2211yescharacteristic, complemented
162#15688981C2211yescharacteristic
163#15688980C2211yescharacteristic, complemented
164#15688980C2211yescharacteristic, complemented
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic
170C4×C22⋊Dic47C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C2×#123×C47C2211yescharacteristic
173C2×#123×C47C2211yescharacteristic
174C2×#121×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic
176C47×#398C2211yescharacteristic, complemented
177C47×#397C2211yescharacteristic, complemented
178C47×#396C2211yescharacteristic, complemented
179C47×#394C2211yescharacteristic, complemented
180C47×#389C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic
185C47×#380C2211yescharacteristic, complemented
186C2×#95×C47C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188—24no—
191C22×D188—42no—
192C22×D188—42no—
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C22×C4×D47—42no—
209C22×C4×D47—42no—
210C22×C4×D47—42no—
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215#13094019—42no—
216#13094010—42no—
217#13094007—42no—
218#13094002—42no—
219#13094002—42no—
220#13094001—42no—
221#13093996—42no—
222#13093995—42no—
223#13093995—42no—
224#13093992—24no—
225#13093992—24no—
226#13093992—42no—
227#13093992—42no—
228D4×Dic47—42no—
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×(C2×D47)⋊C4—42no—
255C2×(C2×D47)⋊C4—42no—
256C2×(C2×D47)⋊C4—42no—
257C2×(C2×D47)⋊C4C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
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
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
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
330C22×D4×C47C2311yescharacteristic
331C22×D4×C47C2311yescharacteristic
332C22×D4×C47C2311yescharacteristic
333C23×C4×C47C2311yescharacteristic
334C23×C4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337#123×C47—42no—
338#123×C47—42no—
339#121×C47—42no—
340C4×D4×C47—42no—
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊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×C22⋊C4×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×C47C2411yescharacteristic
370C24×C47C2411yescharacteristic
371C24×C47C2411yescharacteristic
372C23×D47—22no—
373C23×D47—22no—
374C23×D47—22no—
375C23×D47—22no—
376C23×D47—22no—
377C23×D47—41no—
378C23×D47—41no—
379C23×D47—41no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47—41no—
385C23×D47#4114yes—
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C23×D47C2411yescharacteristic
390C2×D4×C47—22no—
391C2×D4×C47—22no—
392C2×D4×C47—22no—
393C2×D4×C47—22no—
394C2×D4×C47—22no—
395C2×D4×C47—22no—
396C2×D4×C47—22no—
397C2×D4×C47—41no—
398C2×D4×C47—41no—
399C22×C4×C47—22no—
400C22×C4×C47—22no—
401C22×C4×C47—22no—
402C22×C4×C47—22no—
403C22×C4×C47—22no—
404C22×C4×C47—22no—
405C22×C4×C47—41no—
406C22×C4×C47—41no—
407C22×C4×C47—41no—
408C22×C4×C47—41no—
409C22×C4×C47—41no—
410C22×C4×C47—41no—
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C2×C22⋊D47—22no—
424C2×C22⋊D47—22no—
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47—41no—
429C2×C22⋊D47—41no—
430C2×C22⋊D47—41no—
431C2×C22⋊D47—41no—
432C2×C22⋊D47—41no—
433C2×C22⋊D47—41no—
434C2×C22⋊D47—41no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—41no—
439C2×C22⋊D47—41no—
440C2×C22⋊D47—41no—
441C2×C22⋊D47—41no—
442C2×C22⋊D47—41no—
443C2×C22⋊D47—41no—
444C2×C22⋊D47—41no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47—41no—
447C22×Dic47—22no—
448C22×Dic47—22no—
449C22×Dic47—22no—
450C22×Dic47—41no—
451C22×Dic47—41no—
452C22×Dic47—41no—
453C22×Dic47—41no—
454C22×Dic47—41no—
455C22×Dic47—41no—
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C2×D188—22no—
469C2×D188—22no—
470C2×D188—22no—
471C2×D188—22no—
472C2×D188—41no—
473C2×D188—41no—
474C2×D188—41no—
475C2×D188—41no—
476C2×D188—41no—
477C2×D188—41no—
478C2×D188—41no—
479C2×D188—41no—
480C2×D188—416no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—41no—
486C2×C4×D47—41no—
487C2×C4×D47—41no—
488C2×C4×D47—41no—
489C2×C4×D47—41no—
490C2×C4×D47—41no—
491C2×C4×D47—41no—
492C2×C4×D47—41no—
493C2×C4×D47—416no—
494C2×Dic94—22no—
495C2×Dic94—41no—
496C2×Dic94—41no—
497C4⋊C4×C47—22no—
498C4⋊C4×C47—41no—
499C4⋊C4×C47—41no—
500C4⋊C4×C47—41no—
501C4⋊C4×C47—41no—
502C4⋊C4×C47—41no—
503C4⋊C4×C47—41no—
504C4⋊C4×C47—41no—
505C22⋊C4×C47—22no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—41no—
508C22⋊C4×C47—41no—
509C22⋊C4×C47—41no—
510C22⋊C4×C47—41no—
511C22⋊C4×C47—41no—
512C22⋊C4×C47—41no—
513C22⋊C4×C47—41no—
514C22⋊C4×C47—41no—
515C22⋊C4×C47—41no—
516C42×C47—41no—
517C22⋊Dic47—22no—
518C22⋊Dic47—22no—
519C22⋊Dic47—22no—
520C22⋊Dic47—22no—
521C22⋊Dic47—22no—
522C22⋊Dic47—22no—
523C22⋊Dic47—41no—
524C22⋊Dic47—41no—
525C22⋊Dic47—41no—
526C22⋊Dic47—41no—
527C22⋊Dic47—41no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—22no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—22no—
535(C2×D47)⋊C4—22no—
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—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
550(C2×D47)⋊C4—41no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
554(C2×D47)⋊C4—41no—
555(C2×D47)⋊C4—41no—
556(C2×D47)⋊C4—41no—
557(C2×D47)⋊C4—41no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4—41no—
561(C2×D47)⋊C4—41no—
562(C2×D47)⋊C4—41no—
563(C2×D47)⋊C4—41no—
564C4⋊Dic47—22no—
565C4⋊Dic47—41no—
566C4⋊Dic47—41no—
567C4⋊Dic47—41no—
568Dic47⋊C4—22no—
569Dic47⋊C4—22no—
570Dic47⋊C4—41no—
571Dic47⋊C4—41no—
572Dic47⋊C4—41no—
573Dic47⋊C4—41no—
574Dic47⋊C4—41no—
575Dic47⋊C4—41no—
576Dic47⋊C4—41no—
577Dic47⋊C4—41no—
578C4×Dic47—41no—
579C4×Dic47—41no—
580C4×Dic47—41no—
581C4×Dic47—41no—
582C4×Dic47—41no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47C2×#4112yes—
602C23×C47H(5,𝔽2)12yes—
603C23×C47H(5,𝔽2)12yes—
604C23×C47C2511yescharacteristic
605C22×D47—28no—
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—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—44no—
633C22×D47—44no—
634C22×D47—44no—
635C22×D47—44no—
636C22×D47—44no—
637C22×D47—44no—
638C22×D47—44no—
639C22×D47—44no—
640C22×D47—44no—
641C22×D47—82no—
642C22×D47—82no—
643C22×D47—82no—
644C22×D47—82no—
645C22×D47C2×#4112yes—
646C22×D47C2×#4112yes—
647D4×C47—44no—
648D4×C47—44no—
649D4×C47—82no—
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—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
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—44no—
686C2×C4×C47—44no—
687C2×C4×C47—82no—
688C2×C4×C47—82no—
689C2×C4×C47H(5,𝔽2)12yes—
690C22⋊D47—82no—
691C22⋊D47—82no—
692C22⋊D47—82no—
693C22⋊D47—82no—
694C22⋊D47—82no—
695C22⋊D47—82no—
696C22⋊D47—82no—
697C22⋊D47—82no—
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—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
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—44no—
734C2×Dic47—82no—
735C2×Dic47—82no—
736C2×Dic47H(5,𝔽2)12yes—
737D188—44no—
738D188—44no—
739D188—44no—
740D188—44no—
741C4×D47—44no—
742C4×D47—44no—
743C4×D47—44no—
744C4×D47—44no—
745Dic94—82no—
746#36758—471nomaximal, Sylow
747C22×C47—22no—
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—22no—
751C22×C47—22no—
752C22×C47—22no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—41no—
766C22×C47—41no—
767C22×C47#53814yes—
768C22×C47C22×#4111yescharacteristic
769C22×C47C2×H(5,𝔽2)11yescharacteristic
770C22×C47C2×H(5,𝔽2)11yescharacteristic
771C22×C47C2×H(5,𝔽2)11yescharacteristic
772C22×C47C2×H(5,𝔽2)11yescharacteristic
773C22×C47#58511yescharacteristic
774C22×C47#58511yescharacteristic
775C2×D47—22no—
776C2×D47—22no—
777C2×D47—22no—
778C2×D47—22no—
779C2×D47—22no—
780C2×D47—22no—
781C2×D47—416no—
782C2×D47—41no—
783C2×D47—41no—
784C2×D47—41no—
785C2×D47—41no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47—41no—
790C2×D47—41no—
791C2×D47—41no—
792C2×D47—41no—
793C2×D47—41no—
794C2×D47—41no—
795C2×D47—41no—
796C2×D47—41no—
797C2×D47—41no—
798C2×D47—41no—
799C2×D47—41no—
800C2×D47—41no—
801C2×D47—41no—
802C2×D47—41no—
803C2×D47—41no—
804C2×D47—88no—
805C4×C47—22no—
806C4×C47—41no—
807C4×C47—41no—
808C4×C47—41no—
809C4×C47—41no—
810C4×C47—41no—
811C4×C47—41no—
812C4×C47—41no—
813C4×C47—41no—
814C4×C47—41no—
815C4×C47—41no—
816C4×C47—41no—
817Dic47—22no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821Dic47—41no—
822Dic47—41no—
823Dic47—41no—
824Dic47—41no—
825Dic47—41no—
826Dic47—41no—
827Dic47—41no—
828Dic47—41no—
829#2848—471no—
830#2847—471no—
831#2797—471no—
832#2781—471no—
833#2779—471no—
834#2778—471no—
835#2778—471no—
836#2756—471no—
837#2753—471no—
838#2749—471no—
839#2741—471no—
840#2730—471no—
841#2714—471no—
842#2703—471no—
843#2702—471no—
844#2696—471no—
845#2688—471no—
846#2676—471no—
847#2613—471no—
848#2613—471no—
849#2493—471no—
850#2488—471no—
851#2480—471no—
852#2472—471no—
853#2425D4711yescharacteristic, complemented
854#2424—471no—
855#2419—471no—
856#2418—471no—
857#2321—471no—
858#2321—471no—
859C2×#386—471no—
860C2×C47—24no—
861C2×C47—81no—
862C2×C47—81no—
863C2×C47C2×#53811yescharacteristic
864C2×C47#350511yescharacteristic
865C2×C47#350511yescharacteristic
866C2×C47#353211yescharacteristic
867C2×C47#353311yescharacteristic
868C2×C47#354211yescharacteristic
869C2×C47#354211yescharacteristic
870D47—42no—
871D47—42no—
872D47—81no—
873D47—81no—
874C23×D4—471no—
875C24×C4—471no—
876C2×#126—471no—
877C2×#124—471no—
878C2×#123—471no—
879C2×#123C2×D4711yescharacteristic
880C2×#123C2×D4711yescharacteristic
881C2×C22⋊Q8—471no—
882C2×C22⋊Q8—471no—
883C2×C22⋊Q8—471no—
884C2×#121—471no—
885C2×#121—471no—
886C2×#121—471no—
887C2×#121C2×D4711yescharacteristic
888C2×#120—471no—
889C2×#120—471no—
890C2×#120—471no—
891C2×#120—471no—
892C2×C4×D4—471no—
893C2×C4×D4C2×D4711yescharacteristic
894C22×C22⋊C4—471no—
895C22×C22⋊C4—471no—
896C22×C22⋊C4—471no—
897#401—471no—
898#400—471no—
899#400—471no—
900#400—471no—
901#400—471no—
902#400—471no—
903#400—471no—
904#399—471no—
905#398—471no—
906#398C2×D4711yescharacteristic, complemented
907#397—471no—
908#397—471no—
909#397—471no—
910#397—471no—
911#397—471no—
912#397—471no—
913#397—471no—
914#397—471no—
915#397C2×D4711yescharacteristic, complemented
916#396—471no—
917#396—471no—
918#396C2×D4711yescharacteristic, complemented
919#394—471no—
920#394—471no—
921#394—471no—
922#394—471no—
923#394—471no—
924#394—471no—
925#394—471no—
926#394—471no—
927#394—471no—
928#394—471no—
929#394—471no—
930#394—471no—
931#394—471no—
932#394—471no—
933#394C2×D4711yescharacteristic, complemented
934#393—471no—
935#393—471no—
936#392—471no—
937#392—471no—
938#392—471no—
939#392—471no—
940#392—471no—
941#392—471no—
942#392—471no—
943#392—471no—
944#392—471no—
945#391—471no—
946#390—471no—
947#390—471no—
948#390—471no—
949#390—471no—
950#390—471no—
951#390—471no—
952#389C2×D4711yescharacteristic, complemented
953#388—471no—
954#388—471no—
955#388—471no—
956#388—471no—
957#388—471no—
958#388—471no—
959#388—471no—
960#388—471no—
961#388—471no—
962#388—471no—
963#388—471no—
964#388—471no—
965#388—471no—
966#388—471no—
967#388—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388C2×D4711yescharacteristic, complemented
972#387—471no—
973#387—471no—
974#387—471no—
975#387—471no—
976#387—471no—
977#386—471no—
978#386—471no—
979#386—471no—
980#386—471no—
981#386—471no—
982#386—471no—
983#386—471no—
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#386—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#386C2×D4711yescharacteristic
999#386C2×D4711yescharacteristic, complemented
1000#385—471no—
1001#385—471no—
1002#385—471no—
1003#385—471no—
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385C2×D4711yescharacteristic
1009#383—471no—
1010#382—471no—
1011#381—471no—
1012#381—471no—
1013#381—471no—
1014#380—471no—
1015#380—471no—
1016#380—471no—
1017#380—471no—
1018#380—471no—
1019#380—471no—
1020#380C2×D4711yescharacteristic, complemented
1021#379—471no—
1022#379—471no—
1023#379—471no—
1024#379—471no—
1025C4×C22⋊C4—471no—
1026C4×C22⋊C4—471no—
1027C2×#95—471no—
1028C2×#95C2×D4711yescharacteristic
1029C47#3675811yescharacteristic, complemented, Sylow
1030C25—471no—
1031C25—471no—
1032C22×Q8—471no—
1033C22×D4—471no—
1034C22×D4—471no—
1035C22×D4—471no—
1036C22×D4—471no—
1037C22×D4—471no—
1038C22×D4—471no—
1039C22×D4—471no—
1040C22×D4—471no—
1041C22×D4—471no—
1042C22×D4—471no—
1043C22×D4—471no—
1044C22×D4—471no—
1045C22×D4—944no—
1046C22×D4—1882no—
1047C22×D4—1882no—
1048C22×D4C22×D4711yescharacteristic
1049C22×D4C22×D4711yescharacteristic
1050C22×D4C22×D4711yescharacteristic
1051C23×C4—471no—
1052C23×C4—471no—
1053C23×C4—471no—
1054C23×C4—471no—
1055C23×C4—471no—
1056C23×C4—471no—
1057C23×C4—471no—
1058C23×C4—1882no—
1059C23×C4—1882no—
1060C23×C4—1882no—
1061C23×C4C22×D4711yescharacteristic
1062C23×C4C22×D4711yescharacteristic
1063C23×C4C22×D4711yescharacteristic
1064C23×C4C22×D4711yescharacteristic
1065#126—1882no—
1066#124—1882no—
1067#123—42no—
1068#123—42no—
1069#123—1882no—
1070C22⋊Q8—1882no—
1071C22⋊Q8—1882no—
1072C22⋊Q8—1882no—
1073#121—42no—
1074#121—1882no—
1075#121—1882no—
1076#121—1882no—
1077#120—944no—
1078#120—944no—
1079#120—1882no—
1080#120—1882no—
1081C4×D4—42no—
1082C4×D4—1882no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4C22×D4711yescharacteristic
1098C2×C4⋊C4C22×D4711yescharacteristic
1099C2×C4⋊C4C22×D4711yescharacteristic
1100C2×C4⋊C4C22×D4711yescharacteristic
1101C2×C4⋊C4C22×D4711yescharacteristic
1102C2×C4⋊C4C22×D4711yescharacteristic
1103C2×C4⋊C4C22×D4711yescharacteristic
1104C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—1882no—
1153C2×C22⋊C4—1882no—
1154C2×C22⋊C4—1882no—
1155C2×C22⋊C4C22×D4711yescharacteristic
1156C2×C22⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4C22×D4711yescharacteristic
1158C2×C22⋊C4C22×D4711yescharacteristic
1159C2×C22⋊C4C22×D4711yescharacteristic
1160C2×C22⋊C4C22×D4711yescharacteristic
1161C2×C22⋊C4C22×D4711yescharacteristic
1162C2×C22⋊C4C22×D4711yescharacteristic
1163C2×C22⋊C4C22×D4711yescharacteristic
1164C2×C22⋊C4C22×D4711yescharacteristic
1165C2×C22⋊C4C22×D4711yescharacteristic
1166C2×C42—471no—
1167C2×C42—471no—
1168C2×C42—471no—
1169C2×C42—471no—
1170C2×C42—471no—
1171C2×C42C22×D4711yescharacteristic
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#95—471no—
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95C22×D4711yescharacteristic
1205#95C22×D4711yescharacteristic
1206#95C22×D4711yescharacteristic
1207#95C22×D4711yescharacteristic
1208#95C22×D4711yescharacteristic
1209#95C22×D4711yescharacteristic
1210#95C22×D4711yescharacteristic
1211#95C22×D4711yescharacteristic
1212C24—471no—
1213C24—471no—
1214C24—474no—
1215C24—471no—
1216C24—471no—
1217C24—942no—
1218C24—942no—
1219C24—942no—
1220C24—942no—
1221C24—942no—
1222C24—1881no—
1223C24—1881no—
1224C24—1881no—
1225C24—1881no—
1226C24—1881no—
1227C24—1881no—
1228C24—1881no—
1229C24—1881no—
1230C24C23×D4711yescharacteristic
1231C24C23×D4711yescharacteristic
1232C24C23×D4711yescharacteristic
1233C2×Q8—942no—
1234C2×Q8—1881no—
1235C2×Q8—1881no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—942no—
1246C2×D4—942no—
1247C2×D4—942no—
1248C2×D4—942no—
1249C2×D4—942no—
1250C2×D4—942no—
1251C2×D4—942no—
1252C2×D4—942no—
1253C2×D4—1881no—
1254C2×D4—1881no—
1255C2×D4—1881no—
1256C2×D4—1881no—
1257C2×D4—1881no—
1258C2×D4—1881no—
1259C2×D4—1881no—
1260C2×D4—1881no—
1261C2×D4—18816no—
1262C2×D4—1881no—
1263C2×D4—1881no—
1264C2×D4—1881no—
1265C2×D4—1881no—
1266C2×D4—1881no—
1267C2×D4—1881no—
1268C2×D4—1881no—
1269C2×D4—1881no—
1270C2×D4—1881no—
1271C2×D4—1881no—
1272C2×D4—1881no—
1273C2×D4—1881no—
1274C2×D4—1881no—
1275C2×D4—1881no—
1276C2×D4—1881no—
1277C2×D4—1881no—
1278C2×D4—1881no—
1279C2×D4—1881no—
1280C2×D4—1881no—
1281C2×D4—1881no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—471no—
1295C22×C4—471no—
1296C22×C4—471no—
1297C22×C4—471no—
1298C22×C4—471no—
1299C22×C4—471no—
1300C22×C4—471no—
1301C22×C4—471no—
1302C22×C4—471no—
1303C22×C4—471no—
1304C22×C4—471no—
1305C22×C4—471no—
1306C22×C4—942no—
1307C22×C4—942no—
1308C22×C4—942no—
1309C22×C4—942no—
1310C22×C4—942no—
1311C22×C4—942no—
1312C22×C4—942no—
1313C22×C4—1881no—
1314C22×C4—1881no—
1315C22×C4—1881no—
1316C22×C4—1881no—
1317C22×C4—1881no—
1318C22×C4—1881no—
1319C22×C4—1881no—
1320C22×C4—1881no—
1321C22×C4—18816no—
1322C22×C4—1881no—
1323C22×C4—1881no—
1324C22×C4—1881no—
1325C22×C4—1881no—
1326C22×C4—1881no—
1327C22×C4—1881no—
1328C22×C4C23×D4711yescharacteristic
1329C22×C4C23×D4711yescharacteristic
1330C22×C4C23×D4711yescharacteristic
1331C22×C4C23×D4711yescharacteristic
1332C22×C4C23×D4711yescharacteristic
1333C22×C4C23×D4711yescharacteristic
1334C22×C4C23×D4711yescharacteristic
1335C22×C4C23×D4711yescharacteristic
1336C22×C4C23×D4711yescharacteristic
1337C22×C4C23×D4711yescharacteristic
1338C22×C4C23×D4711yescharacteristic
1339C22×C4C23×D4711yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—41no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—942no—
1349C4⋊C4—942no—
1350C4⋊C4—942no—
1351C4⋊C4—1881no—
1352C4⋊C4—1881no—
1353C4⋊C4—1881no—
1354C4⋊C4—1881no—
1355C4⋊C4—1881no—
1356C4⋊C4—1881no—
1357C4⋊C4—1881no—
1358C4⋊C4—1881no—
1359C4⋊C4—1881no—
1360C4⋊C4—1881no—
1361C4⋊C4—1881no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—41no—
1365C22⋊C4—41no—
1366C22⋊C4—41no—
1367C22⋊C4—41no—
1368C22⋊C4—41no—
1369C22⋊C4—41no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—41no—
1373C22⋊C4—942no—
1374C22⋊C4—942no—
1375C22⋊C4—942no—
1376C22⋊C4—942no—
1377C22⋊C4—942no—
1378C22⋊C4—942no—
1379C22⋊C4—942no—
1380C22⋊C4—942no—
1381C22⋊C4—942no—
1382C22⋊C4—942no—
1383C22⋊C4—942no—
1384C22⋊C4—942no—
1385C22⋊C4—942no—
1386C22⋊C4—942no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C22⋊C4—1881no—
1390C22⋊C4—1881no—
1391C22⋊C4—1881no—
1392C22⋊C4—1881no—
1393C22⋊C4—1881no—
1394C22⋊C4—1881no—
1395C22⋊C4—1881no—
1396C22⋊C4—1881no—
1397C22⋊C4—1881no—
1398C22⋊C4—1881no—
1399C22⋊C4—1881no—
1400C22⋊C4—1881no—
1401C22⋊C4—1881no—
1402C22⋊C4—1881no—
1403C22⋊C4—1881no—
1404C22⋊C4—1881no—
1405C22⋊C4—1881no—
1406C22⋊C4—1881no—
1407C22⋊C4—1881no—
1408C22⋊C4—1881no—
1409C22⋊C4—1881no—
1410C22⋊C4—1881no—
1411C22⋊C4—1881no—
1412C22⋊C4—1881no—
1413C22⋊C4—1881no—
1414C22⋊C4—1881no—
1415C22⋊C4—1881no—
1416C22⋊C4—1881no—
1417C22⋊C4—1881no—
1418C22⋊C4—1881no—
1419C22⋊C4—1881no—
1420C42—41no—
1421C42—1881no—
1422C42—1881no—
1423C42—1881no—
1424C42—1881no—
1425C42—1881no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—472no—
1445C23—472no—
1446C23—941no—
1447C23—941no—
1448C23—941no—
1449C23—941no—
1450C23—941no—
1451C23—941no—
1452C23—941no—
1453C23—941no—
1454C23—941no—
1455C23—941no—
1456C23—941no—
1457C23—941no—
1458C23—948no—
1459C23—941no—
1460C23—941no—
1461C23—941no—
1462C23—941no—
1463C23—941no—
1464C23—941no—
1465C23—941no—
1466C23—941no—
1467C23—941no—
1468C23—941no—
1469C23—941no—
1470C23—941no—
1471C23—941no—
1472C23—941no—
1473C23—3762no—
1474C23—3762no—
1475C23—3762no—
1476C23—3762no—
1477C23—1884no—
1478C23—1884no—
1479C23—1884no—
1480C23—1884no—
1481C23—1884no—
1482C23—1884no—
1483C23—1884no—
1484C23—1884no—
1485C23—1884no—
1486C23#41×D4712yes—
1487C23#1309406912yes—
1488C23#1309406912yes—
1489C23C24×D4711yescharacteristic
1490Q8—3762no—
1491D4—44no—
1492D4—44no—
1493D4—82no—
1494D4—3762no—
1495D4—3762no—
1496D4—3762no—
1497D4—3762no—
1498D4—3762no—
1499D4—3762no—
1500D4—3762no—
1501D4—3762no—
1502D4—1884no—
1503D4—1884no—
1504D4—1884no—
1505D4—1884no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
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—44no—
1542C2×C4—44no—
1543C2×C4—82no—
1544C2×C4—82no—
1545C2×C4—472no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—941no—
1570C2×C4—941no—
1571C2×C4—941no—
1572C2×C4—941no—
1573C2×C4—941no—
1574C2×C4—941no—
1575C2×C4—941no—
1576C2×C4—941no—
1577C2×C4—941no—
1578C2×C4—941no—
1579C2×C4—941no—
1580C2×C4—941no—
1581C2×C4—3762no—
1582C2×C4—3762no—
1583C2×C4—1884no—
1584C2×C4—1884no—
1585C2×C4—1884no—
1586C2×C4—1884no—
1587C2×C4—1884no—
1588C2×C4#1309407012yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—942no—
1610C22—942no—
1611C22—942no—
1612C22—942no—
1613C22—942no—
1614C22—942no—
1615C22—3768no—
1616C22—18816no—
1617C22—1881no—
1618C22—1881no—
1619C22—1881no—
1620C22—1881no—
1621C22—1881no—
1622C22—1881no—
1623C22—1881no—
1624C22—1881no—
1625C22—1881no—
1626C22—1881no—
1627C22—1881no—
1628C22—1881no—
1629C22—1881no—
1630C22—1881no—
1631C22—1881no—
1632C22—1881no—
1633C22—1881no—
1634C22—1881no—
1635C22—1881no—
1636C22—1881no—
1637C22—1881no—
1638C22—1881no—
1639C22#1568970514yes—
1640C22C2×#41×D4711yescharacteristic
1641C22H(5,𝔽2)×D4711yescharacteristic
1642C22C2×#1309406911yescharacteristic
1643C22C2×#1309406911yescharacteristic
1644C22C2×#1309407011yescharacteristic
1645C22#1568995911yescharacteristic
1646C22#1568996011yescharacteristic
1647C4—22no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—942no—
1660C4—1881no—
1661C4—1881no—
1662C4—1881no—
1663C4—1881no—
1664C4—1881no—
1665C4—1881no—
1666C4—1881no—
1667C4—1881no—
1668C4—1881no—
1669C4—1881no—
1670C4—1881no—
1671C2—24no—
1672C2—81no—
1673C2—81no—
1674C2—3761no—
1675C2—3761no—
1676C2—1882no—
1677C2—1882no—
1678C2C2×#1568970511yescharacteristic
1679C2#2025722011yescharacteristic
1680C2#2025722311yescharacteristic
1681C2#2025753711yescharacteristic
1682C2#2025755811yescharacteristic
1683C2#2025768911yescharacteristic
1684C2#2025770511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2425C2
hypercenter#2425D47
hypocenterC47#36758
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2425

Complements

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

NH ≅ G/Ntype
1. #20251674C2semidirect
2. #20251667C2semidirect
3. #20251250C2semidirect
4. #20251057C2semidirect
5. #20251015C2semidirect
6. #20251002C2semidirect
7. #20251001C2semidirect
8. #20250717C2semidirect
9. #20250662C2semidirect
10. #20250617C2semidirect
11. #20250509C2semidirect
12. #20250384C2semidirect
13. #20250189C2semidirect
14. #20250034C2semidirect
15. #20250014C2semidirect
16. #20249938C2semidirect
17. #20249822C2semidirect
18. #20249691C2semidirect
19. #20249104C2semidirect
20. #20249104C2semidirect
21. #20247773C2semidirect
22. #20247718C2semidirect
23. #20247641C2semidirect
24. #20247516C2semidirect
25. #20246930C2semidirect
26. #20246861C2semidirect
27. #20246844C2semidirect
28. #20246051C2semidirect
29. #20246042C2semidirect
30. C2×#15689001C2semidirect
31. C47×#2425C2semidirect
34. C2×#13094019C22semidirect
35. C2×#13094010C22semidirect
36. C2×#13094007C22semidirect
37. C2×#13094002C22semidirect
38. C2×#13094002C22semidirect
40. C2×#13093996C22semidirect
41. C2×#13093995C22semidirect
42. C2×#13093995C22semidirect
51. C47⋊#401C22semidirect
52. #15689065C22semidirect
53. #15689064C22semidirect
54. #15689063C22semidirect
55. #15689062C22semidirect
56. #15689061C22semidirect
57. #15689061C22semidirect
58. #15689058C22semidirect
59. #15689053C22semidirect
60. #15689052C22semidirect
61. #15689052C22semidirect
62. #15689051C22semidirect
63. #15689051C22semidirect
64. #15689050C22semidirect
65. #15689049C22semidirect
66. #15689049C22semidirect
67. #15689048C22semidirect
68. #15689045C22semidirect
69. #15689045C22semidirect
78. #15689039C22semidirect
79. #15689039C22semidirect
80. #15689038C22semidirect
81. #15689038C22semidirect
82. #15689038C22semidirect
83. #15689038C22semidirect
84. #15689036C22semidirect
85. #15689035C22semidirect
94. #15689031C22semidirect
95. #15689028C22semidirect
96. #15689023C22semidirect
97. #15689023C22semidirect
98. #15689023C22semidirect
99. #15689023C22semidirect
100. #15689023C22semidirect
101. #15689023C22semidirect
102. #15689017C22semidirect
103. #15689017C22semidirect
104. #15689015C22semidirect
105. #15689015C22semidirect
106. #15689015C22semidirect
107. #15689015C22semidirect
108. #15689014C22semidirect
109. #15689014C22semidirect
110. #15689014C22semidirect
111. #15689014C22semidirect
112. #15689013C22semidirect
113. #15689013C22semidirect
114. #15689013C22semidirect
115. #15689013C22semidirect
116. #15689012C22semidirect
117. #15689012C22semidirect
118. #15689012C22semidirect
119. #15689012C22semidirect
120. #15689010C22semidirect
121. #15689008C22semidirect
122. #15689005C22semidirect
123. #15689004C22semidirect
124. #15689004C22semidirect
128. #15689002C22semidirect
129. #15689002C22semidirect
130. #15689002C22semidirect
139. #15689000C22semidirect
140. #15689000C22semidirect
141. #15689000C22semidirect
142. #15688999C22semidirect
143. #15688999C22semidirect
144. #15688999C22semidirect
145. #15688999C22semidirect
146. #15688997C22semidirect
147. #15688997C22semidirect
151. #15688995C22semidirect
152. #15688994C22semidirect
153. #15688994C22semidirect
154. #15688990C22semidirect
155. #15688988C22semidirect
158. #15688984C22semidirect
160. #15688982C22semidirect
161. #15688982C22semidirect
163. #15688980C22semidirect
164. #15688980C22semidirect
176. C47×#398C22semidirect
177. C47×#397C22semidirect
178. C47×#396C22semidirect
179. C47×#394C22semidirect
180. C47×#389C22semidirect
181. C47×#388C22semidirect
183. C47×#386C22semidirect
185. C47×#380C22semidirect
853. #2425D47semidirect
906. #398C2×D47semidirect
915. #397C2×D47semidirect
918. #396C2×D47semidirect
933. #394C2×D47semidirect
952. #389C2×D47semidirect
971. #388C2×D47semidirect
999. #386C2×D47semidirect
1020. #380C2×D47semidirect
1029. C47#36758semidirect

Maximal subgroups

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

subgroupindex
#202516742
#202516672
#202512502
#202510572
#202510152
#202510022
#202510012
#202507172
#202506622
#202506172
#202505092
#202503842
#202501892
#202500342
#202500142
#202499382
#202498222
#202496912
#202491042
#202477732
#202477182
#202476412
#202475162
#202469302
#202468612
#202468442
#202460512
#202460422
C2×#156890012
C47×#24252
#3675847