Finite Group Databasebeta

← #26425125

Subgroups — #26425125

Order 12032.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251677C211yesmaximal, characteristic, complemented
2#20251672C211yesmaximal, characteristic, complemented
3#20251237C211yesmaximal, characteristic, complemented
4#20250777C211yesmaximal, characteristic, complemented
5#20250723C211yesmaximal, characteristic, complemented
6#20250639C211yesmaximal, characteristic, complemented
7#20250447C211yesmaximal, characteristic, complemented
8#20250381C211yesmaximal, characteristic, complemented
9#20250312C211yesmaximal, characteristic, complemented
10#20250206C211yesmaximal, characteristic, complemented
11#20250161C211yesmaximal, characteristic, complemented
12#20250136C211yesmaximal, characteristic, complemented
13#20250057C211yesmaximal, characteristic, complemented
14#20249997C211yesmaximal, characteristic, complemented
15#20249982C211yesmaximal, characteristic, complemented
16#20249869C211yesmaximal, characteristic, complemented
17#20249798C211yesmaximal, characteristic, complemented
18#20249194C211yesmaximal, characteristic, complemented
19#20249160C211yesmaximal, characteristic, complemented
20#20248573C211yesmaximal, characteristic, complemented
21#20248393C211yesmaximal, characteristic, complemented
22#20247640C211yesmaximal, characteristic, complemented
23#20247637C211yesmaximal, characteristic, complemented
24#20247515C211yesmaximal, characteristic, complemented
25#20247510C211yesmaximal, characteristic, complemented
26#20247034C211yesmaximal, characteristic, complemented
27#20246740C211yesmaximal, characteristic
28#20246122C211yesmaximal, characteristic, complemented
29#20246023C211yesmaximal, characteristic, complemented
30#386×D47C211yesmaximal, characteristic, complemented
31C47×#2672C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094019C2211yescharacteristic, complemented
36C2×#13094010C2211yescharacteristic
37C2×#13094010C2211yescharacteristic
38C2×#13094010C2211yescharacteristic, complemented
39C2×#13094005C2211yescharacteristic, complemented
40C2×#13094004C2211yescharacteristic
41C2×#13094002C2211yescharacteristic
42C2×#13094000C2211yescharacteristic
43C2×#13094000C2211yescharacteristic, complemented
44C2×#13093998C2211yescharacteristic
45C2×#13093992C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×C4×C22⋊D47C2211yescharacteristic
48C2×C22⋊C4×D47C2211yescharacteristic
49C2×C22⋊C4×D47C2211yescharacteristic
50C2×C22⋊C4×D47C2211yescharacteristic
51#15689064C2211yescharacteristic, complemented
52#15689059C2211yescharacteristic, complemented
53#15689058C2211yescharacteristic, complemented
54#15689056C2211yescharacteristic, complemented
55#15689055C2211yescharacteristic, complemented
56#15689052C2211yescharacteristic, complemented
57#15689052C2211yescharacteristic, complemented
58#15689052C2211yescharacteristic, complemented
59#15689052C2211yescharacteristic, complemented
60#15689051C2211yescharacteristic, complemented
61#15689051C2211yescharacteristic, complemented
62#15689051C2211yescharacteristic, complemented
63#15689050C2211yescharacteristic, complemented
64#15689049C2211yescharacteristic, complemented
65#15689049C2211yescharacteristic, complemented
66#15689048C2211yescharacteristic, complemented
67#15689048C2211yescharacteristic, complemented
68#15689046C2211yescharacteristic, complemented
69#15689046C2211yescharacteristic, complemented
70#15689046C2211yescharacteristic, complemented
71#15689045C2211yescharacteristic, complemented
72#15689045C2211yescharacteristic, complemented
73#15689044C2211yescharacteristic, complemented
74#15689043C2211yescharacteristic, complemented
75#15689041C2211yescharacteristic
76#15689040C2211yescharacteristic
77#15689039C2211yescharacteristic, complemented
78#15689039C2211yescharacteristic, complemented
79#15689039C2211yescharacteristic, complemented
80#15689038C2211yescharacteristic
81#15689038C2211yescharacteristic
82#15689038C2211yescharacteristic, complemented
83#15689037C2211yescharacteristic
84#15689037C2211yescharacteristic, complemented
85#15689037C2211yescharacteristic, complemented
86#15689036C2211yescharacteristic, complemented
87#15689035C2211yescharacteristic, complemented
88#15689035C2211yescharacteristic, complemented
89#15689035C2211yescharacteristic, complemented
90#15689034C2211yescharacteristic, complemented
91#15689031C2211yescharacteristic
92#15689031C2211yescharacteristic
93#15689030C2211yescharacteristic, complemented
94#15689028C2211yescharacteristic, complemented
95#15689027C2211yescharacteristic, complemented
96#15689027C2211yescharacteristic, complemented
97#15689026C2211yescharacteristic
98#15689026C2211yescharacteristic, complemented
99#15689024C2211yescharacteristic
100#15689023C2211yescharacteristic
101#15689023C2211yescharacteristic
102#15689023C2211yescharacteristic, complemented
103#15689022C2211yescharacteristic, complemented
104#15689018C2211yescharacteristic, complemented
105#15689018C2211yescharacteristic, complemented
106#15689017C2211yescharacteristic, complemented
107#15689017C2211yescharacteristic, complemented
108#15689017C2211yescharacteristic, complemented
109#15689016C2211yescharacteristic, complemented
110#15689016C2211yescharacteristic, complemented
111#15689014C2211yescharacteristic, complemented
112#15689014C2211yescharacteristic, complemented
113#15689013C2211yescharacteristic, complemented
114#15689013C2211yescharacteristic, complemented
115#15689011C2211yescharacteristic, complemented
116#15689011C2211yescharacteristic, complemented
117#15689010C2211yescharacteristic, complemented
118#15689009C2211yescharacteristic, complemented
119#15689008C2211yescharacteristic, complemented
120#15689007C2211yescharacteristic, complemented
121#15689004C2211yescharacteristic, complemented
122#15689004C2211yescharacteristic, complemented
123#15689004C2211yescharacteristic, complemented
124#15689004C2211yescharacteristic, complemented
125#15689003C2211yescharacteristic
126#15689002C2211yescharacteristic
127#15689001C2211yescharacteristic
128#15689001C2211yescharacteristic
129#15689000C2211yescharacteristic
130#15688999C2211yescharacteristic
131#15688999C2211yescharacteristic
132#15688999C2211yescharacteristic
133#15688999C2211yescharacteristic
134#15688999C2211yescharacteristic
135#15688999C2211yescharacteristic
136#15688999C2211yescharacteristic, complemented
137#15688999C2211yescharacteristic, complemented
138#15688997C2211yescharacteristic
139#15688996C2211yescharacteristic, complemented
140#15688995C2211yescharacteristic, complemented
141#15688995C2211yescharacteristic, complemented
142#15688994C2211yescharacteristic
143#15688994C2211yescharacteristic
144#15688994C2211yescharacteristic
145#15688994C2211yescharacteristic
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic, complemented
148#15688994C2211yescharacteristic, complemented
149#15688994C2211yescharacteristic, complemented
150#15688994C2211yescharacteristic, complemented
151#15688990C2211yescharacteristic, complemented
152#15688987C2211yescharacteristic, complemented
153#15688986C2211yescharacteristic, complemented
154#15688986C2211yescharacteristic, complemented
155#15688984C2211yescharacteristic, complemented
156#15688983C2211yescharacteristic, complemented
157#15688982C2211yescharacteristic
158#15688980C2211yescharacteristic
159#15688980C2211yescharacteristic
160#15688980C2211yescharacteristic, complemented
161#15688978C2211yescharacteristic
162#15688978C2211yescharacteristic
163#15688978C2211yescharacteristic
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167C4×(C2×D47)⋊C4C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688970C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C2×#124×C47C2211yescharacteristic, complemented
173C2×#123×C47C2211yescharacteristic, complemented
174C2×C22⋊Q8×C47C2211yescharacteristic, complemented
175C2×#121×C47C2211yescharacteristic
176C47×#399C2211yescharacteristic, complemented
177C47×#396C2211yescharacteristic, complemented
178C47×#395C2211yescharacteristic, complemented
179C47×#394C2211yescharacteristic
180C47×#394C2211yescharacteristic, complemented
181C47×#394C2211yescharacteristic, complemented
182C47×#389C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic
185C47×#385C2211yescharacteristic, complemented
186C47×#380C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C2×D4×D47—24no—
198C2×D4×D47—42no—
199C2×D4×D47—42no—
200C23×Dic47C2311yescharacteristic
201C22×C4×D47—42no—
202C22×C4×D47—42no—
203C22×C4×D47—42no—
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094019—42no—
212#13094019—42no—
213#13094010—42no—
214#13094010—42no—
215#13094010—42no—
216#13094005—42no—
217#13094004—42no—
218#13094002—24no—
219#13094000—42no—
220#13094000—42no—
221#13093998—42no—
222#13093992—42no—
223#13093992—42no—
224C4×C22⋊D47—24no—
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
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×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×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
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
287C22⋊C4×D47—42no—
288C22⋊C4×D47—42no—
289C22⋊C4×D47—42no—
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
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
330C22×Q8×C47C2311yescharacteristic
331C22×D4×C47C2311yescharacteristic
332C22×D4×C47C2311yescharacteristic
333C22×D4×C47C2311yescharacteristic
334C23×C4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336#124×C47—42no—
337#123×C47—42no—
338C22⋊Q8×C47—42no—
339#121×C47—42no—
340C2×C4⋊C4×C47C2311yescharacteristic
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×C22⋊C4×C47C2311yescharacteristic
361C2×C22⋊C4×C47C2311yescharacteristic
362C2×C42×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—22no—
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47—41no—
385C23×D47—41no—
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C2×Q8×C47—22no—
390C2×Q8×C47—41no—
391C2×Q8×C47—41no—
392C2×D4×C47—22no—
393C2×D4×C47—22no—
394C2×D4×C47—22no—
395C2×D4×C47—41no—
396C2×D4×C47—41no—
397C2×D4×C47—41no—
398C2×D4×C47—41no—
399C2×D4×C47—41no—
400C2×D4×C47—41no—
401C22×C4×C47—22no—
402C22×C4×C47—22no—
403C22×C4×C47—22no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47—41no—
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C2×C22⋊D47—22no—
420C2×C22⋊D47—22no—
421C2×C22⋊D47—22no—
422C2×C22⋊D47—22no—
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—
434C22×Dic47—22no—
435C22×Dic47—41no—
436C22×Dic47—41no—
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450D4×D47—416no—
451C2×D188—22no—
452C2×D188—22no—
453C2×D188—41no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—416no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47#4114yes—
476C2×Dic94—22no—
477C2×Dic94—41no—
478C2×Dic94—41no—
479C2×Dic94—41no—
480C2×Dic94—41no—
481C2×Dic94—41no—
482C4⋊C4×C47—22no—
483C4⋊C4×C47—22no—
484C4⋊C4×C47—41no—
485C4⋊C4×C47—41no—
486C4⋊C4×C47—41no—
487C4⋊C4×C47—41no—
488C4⋊C4×C47—41no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C22⋊C4×C47—22no—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—41no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
501C22⋊C4×C47—41no—
502C22⋊C4×C47—41no—
503C22⋊C4×C47—41no—
504C42×C47—41no—
505C22⋊Dic47—22no—
506C22⋊Dic47—22no—
507C22⋊Dic47—41no—
508C22⋊Dic47—41no—
509C22⋊Dic47—41no—
510C22⋊Dic47—41no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
515C22⋊Dic47—41no—
516C22⋊Dic47—41no—
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—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—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—
554Dic47⋊C4—22no—
555Dic47⋊C4—22no—
556Dic47⋊C4—22no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4—41no—
563Dic47⋊C4—41no—
564Dic47⋊C4—41no—
565Dic47⋊C4—41no—
566Dic47⋊C4—41no—
567C4×Dic47—22no—
568C4×Dic47—41no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
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—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47H(5,𝔽2)12yes—
594C23×C47C2511yescharacteristic
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—28no—
600C22×D47—21no—
601C22×D47—21no—
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—44no—
614C22×D47—44no—
615C22×D47—44no—
616C22×D47—44no—
617C22×D47—44no—
618C22×D47—44no—
619C22×D47—44no—
620C22×D47—44no—
621C22×D47—44no—
622C22×D47—82no—
623C22×D47—82no—
624C22×D47—82no—
625C22×D47—82no—
626C22×D47C2×#4112yes—
627C22×D47H(5,𝔽2)12yes—
628C22×D47H(5,𝔽2)12yes—
629C22×D472−1+412yes—
630Q8×C47—82no—
631D4×C47—44no—
632D4×C47—82no—
633D4×C47—82no—
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—21no—
667C2×C4×C47—21no—
668C2×C4×C47—44no—
669C2×C4×C47—82no—
670C2×C4×C47C2×#4112yes—
671C2×C4×C47H(5,𝔽2)12yes—
672C22⋊D47—44no—
673C22⋊D47—44no—
674C22⋊D47—44no—
675C22⋊D47—82no—
676C22⋊D47—82no—
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—21no—
714C2×Dic47—21no—
715C2×Dic47—44no—
716C2×Dic47C2×#4112yes—
717D188—44no—
718C4×D47—44no—
719C4×D47—44no—
720C4×D47—44no—
721C4×D47—44no—
722C4×D47—44no—
723C4×D47—82no—
724C4×D47—82no—
725Dic94—82no—
726Dic94—82no—
727#36793—471nomaximal, Sylow
728C22×C47—22no—
729C22×C47—22no—
730C22×C47—22no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47—41no—
747C22×C47—41no—
748C22×C47—41no—
749C22×C47C22×#4111yescharacteristic
750C22×C47C2×H(5,𝔽2)11yescharacteristic
751C22×C47C2×H(5,𝔽2)11yescharacteristic
752C22×C47C2×H(5,𝔽2)11yescharacteristic
753C22×C47C2×H(5,𝔽2)11yescharacteristic
754C22×C47C2×2−1+411yescharacteristic
755C22×C47#58511yescharacteristic
756C2×D47—22no—
757C2×D47—22no—
758C2×D47—22no—
759C2×D47—22no—
760C2×D47—22no—
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—22no—
764C2×D47—22no—
765C2×D47—416no—
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—88no—
778C2×D47#54214yes—
779C4×C47—22no—
780C4×C47—22no—
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—
791Dic47—22no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801Dic47—41no—
802Dic47—41no—
803Dic47—41no—
804#2849—471no—
805#2848—471no—
806#2796—471no—
807#2761—471no—
808#2757—471no—
809#2751—471no—
810#2737—471no—
811#2730—471no—
812#2723—471no—
813#2715—471no—
814#2712—471no—
815#2710—471no—
816#2705—471no—
817#2701—471no—
818#2700—471no—
819#2691—471no—
820#2686—471no—
821#2672D4711yescharacteristic, complemented
822#2626—471no—
823#2622—471no—
824#2564—471no—
825#2549—471no—
826#2480—471no—
827#2480—471no—
828#2472—471no—
829#2472—471no—
830#2435—471no—
831#2408—471no—
832#2329—471no—
833#2318—471no—
834C2×#386—471no—
835C2×C47—42no—
836C2×C47—81no—
837C2×C47—81no—
838C2×C47C2×#54211yescharacteristic
839C2×C47#349011yescharacteristic
840C2×C47#350611yescharacteristic
841C2×C47#353211yescharacteristic
842C2×C47#353411yescharacteristic
843C2×C47#353511yescharacteristic
844C2×C47#353611yescharacteristic
845D47—24no—
846D47—42no—
847D47—81no—
848C23×D4—471no—
849C24×C4—471no—
850C2×#126—471no—
851C2×#126—471no—
852C2×#124—471no—
853C2×#124—471no—
854C2×#124—471no—
855C2×#124C2×D4711yescharacteristic, complemented
856C2×#123—471no—
857C2×#123C2×D4711yescharacteristic, complemented
858C2×C22⋊Q8—471no—
859C2×C22⋊Q8—471no—
860C2×C22⋊Q8—471no—
861C2×C22⋊Q8—471no—
862C2×C22⋊Q8C2×D4711yescharacteristic, complemented
863C2×#121—471no—
864C2×#121C2×D4711yescharacteristic
865C2×#120—471no—
866C2×#120—471no—
867C2×C4×D4—471no—
868C22×C22⋊C4—471no—
869C22×C22⋊C4—471no—
870C22×C22⋊C4—471no—
871#400—471no—
872#399—471no—
873#399—471no—
874#399C2×D4711yescharacteristic, complemented
875#398—471no—
876#398—471no—
877#397—471no—
878#397—471no—
879#397—471no—
880#397—471no—
881#397—471no—
882#397—471no—
883#397—471no—
884#397—471no—
885#397—471no—
886#397—471no—
887#397—471no—
888#397—471no—
889#396—471no—
890#396—471no—
891#396—471no—
892#396—471no—
893#396—471no—
894#396C2×D4711yescharacteristic, complemented
895#395—471no—
896#395—471no—
897#395C2×D4711yescharacteristic, complemented
898#394—471no—
899#394—471no—
900#394—471no—
901#394—471no—
902#394—471no—
903#394—471no—
904#394—471no—
905#394—471no—
906#394—471no—
907#394—471no—
908#394—471no—
909#394C2×D4711yescharacteristic
910#394C2×D4711yescharacteristic, complemented
911#394C2×D4711yescharacteristic, complemented
912#393—471no—
913#393—471no—
914#393—471no—
915#393—471no—
916#393—471no—
917#392—471no—
918#392—471no—
919#391—471no—
920#391—471no—
921#391—471no—
922#391—471no—
923#390—471no—
924#390—471no—
925#390—471no—
926#390—471no—
927#390—471no—
928#390—471no—
929#389—471no—
930#389—471no—
931#389—471no—
932#389C2×D4711yescharacteristic, complemented
933#388—471no—
934#388—471no—
935#388—471no—
936#388—471no—
937#388—471no—
938#388—471no—
939#388—471no—
940#388—471no—
941#388—471no—
942#388—471no—
943#388—471no—
944#388C2×D4711yescharacteristic, complemented
945#387—471no—
946#387—471no—
947#387—471no—
948#387—471no—
949#387—471no—
950#387—471no—
951#387—471no—
952#387—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386—471no—
966#386C2×D4711yescharacteristic
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#385C2×D4711yescharacteristic, complemented
981#383—471no—
982#382—471no—
983#381—471no—
984#381—471no—
985#381—471no—
986#380—471no—
987#380—471no—
988#380—471no—
989#380—471no—
990#380—471no—
991#380C2×D4711yescharacteristic, complemented
992#379—471no—
993#379—471no—
994#379—471no—
995#379—471no—
996#379—471no—
997#379—471no—
998C4×C22⋊C4—471no—
999C4×C22⋊C4—471no—
1000C4×C22⋊C4—471no—
1001C2×#95—471no—
1002C2×#95—471no—
1003C47#3679311yescharacteristic, complemented, Sylow
1004C25—471no—
1005C25—471no—
1006C22×Q8—471no—
1007C22×Q8—471no—
1008C22×Q8C22×D4711yescharacteristic
1009C22×D4—471no—
1010C22×D4—471no—
1011C22×D4—471no—
1012C22×D4—471no—
1013C22×D4—471no—
1014C22×D4—471no—
1015C22×D4—944no—
1016C22×D4—1882no—
1017C22×D4—1882no—
1018C22×D4C22×D4711yescharacteristic
1019C22×D4C22×D4711yescharacteristic
1020C22×D4C22×D4711yescharacteristic
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—1882no—
1030C23×C4—1882no—
1031C23×C4—1882no—
1032C23×C4C22×D4711yescharacteristic
1033C23×C4C22×D4711yescharacteristic
1034#126—1882no—
1035#126—1882no—
1036#124—42no—
1037#124—1882no—
1038#124—1882no—
1039#124—1882no—
1040#123—42no—
1041#123—1882no—
1042C22⋊Q8—42no—
1043C22⋊Q8—944no—
1044C22⋊Q8—1882no—
1045C22⋊Q8—1882no—
1046C22⋊Q8—1882no—
1047#121—42no—
1048#121—1882no—
1049#120—1882no—
1050#120—1882no—
1051C4×D4—944no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
1072C2×C4⋊C4C22×D4711yescharacteristic
1073C2×C4⋊C4C22×D4711yescharacteristic
1074C2×C4⋊C4C22×D4711yescharacteristic
1075C2×C4⋊C4C22×D4711yescharacteristic
1076C2×C4⋊C4C22×D4711yescharacteristic
1077C2×C4⋊C4C22×D4711yescharacteristic
1078C2×C4⋊C4C22×D4711yescharacteristic
1079C2×C4⋊C4C22×D4711yescharacteristic
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
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—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—1882no—
1124C2×C22⋊C4—1882no—
1125C2×C22⋊C4—1882no—
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×C42—471no—
1140C2×C42—471no—
1141C2×C42—471no—
1142C2×C42—471no—
1143C2×C42—471no—
1144C2×C42—471no—
1145C2×C42C22×D4711yescharacteristic
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
1186C24—471no—
1187C24—471no—
1188C24—471no—
1189C24—942no—
1190C24—942no—
1191C24—942no—
1192C24—942no—
1193C24—942no—
1194C24—942no—
1195C24—942no—
1196C24—942no—
1197C24—1881no—
1198C24—1881no—
1199C24—1881no—
1200C24—1881no—
1201C24—1881no—
1202C24—1881no—
1203C24C23×D4711yescharacteristic
1204C24C23×D4711yescharacteristic
1205C24C23×D4711yescharacteristic
1206C2×Q8—22no—
1207C2×Q8—41no—
1208C2×Q8—41no—
1209C2×Q8—942no—
1210C2×Q8—1881no—
1211C2×Q8—1881no—
1212C2×Q8—1881no—
1213C2×Q8—1881no—
1214C2×Q8—1881no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—41no—
1224C2×D4—942no—
1225C2×D4—942no—
1226C2×D4—942no—
1227C2×D4—942no—
1228C2×D4—942no—
1229C2×D4—942no—
1230C2×D4—942no—
1231C2×D4—942no—
1232C2×D4—942no—
1233C2×D4—942no—
1234C2×D4—1881no—
1235C2×D4—1881no—
1236C2×D4—1881no—
1237C2×D4—1881no—
1238C2×D4—1881no—
1239C2×D4—1881no—
1240C2×D4—1881no—
1241C2×D4—1881no—
1242C2×D4—18816no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—41no—
1249C22×C4—471no—
1250C22×C4—474no—
1251C22×C4—471no—
1252C22×C4—471no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—471no—
1262C22×C4—471no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
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—18816no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C22×C4C23×D4711yescharacteristic
1292C22×C4C23×D4711yescharacteristic
1293C22×C4C23×D4711yescharacteristic
1294C22×C4C23×D4711yescharacteristic
1295C22×C4C23×D4711yescharacteristic
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—41no—
1302C4⋊C4—41no—
1303C4⋊C4—41no—
1304C4⋊C4—41no—
1305C4⋊C4—41no—
1306C4⋊C4—41no—
1307C4⋊C4—41no—
1308C4⋊C4—942no—
1309C4⋊C4—942no—
1310C4⋊C4—942no—
1311C4⋊C4—942no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
1314C4⋊C4—1881no—
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—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
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—942no—
1341C22⋊C4—942no—
1342C22⋊C4—942no—
1343C22⋊C4—942no—
1344C22⋊C4—942no—
1345C22⋊C4—942no—
1346C22⋊C4—942no—
1347C22⋊C4—942no—
1348C22⋊C4—942no—
1349C22⋊C4—942no—
1350C22⋊C4—942no—
1351C22⋊C4—942no—
1352C22⋊C4—942no—
1353C22⋊C4—942no—
1354C22⋊C4—942no—
1355C22⋊C4—1881no—
1356C22⋊C4—1881no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4—1881no—
1360C22⋊C4—1881no—
1361C22⋊C4—1881no—
1362C22⋊C4—1881no—
1363C22⋊C4—1881no—
1364C22⋊C4—1881no—
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—
1383C42—41no—
1384C42—942no—
1385C42—1881no—
1386C42—1881no—
1387C42—1881no—
1388C42—1881no—
1389C42—1881no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
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—21no—
1410C23—472no—
1411C23—472no—
1412C23—472no—
1413C23—472no—
1414C23—948no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
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—3762no—
1433C23—3762no—
1434C23—3762no—
1435C23—3762no—
1436C23—1884no—
1437C23—1884no—
1438C23—1884no—
1439C23—1884no—
1440C23—1884no—
1441C23—1884no—
1442C23—1884no—
1443C23—1884no—
1444C23—1884no—
1445C23#1309406912yes—
1446C23C24×D4711yescharacteristic
1447Q8—82no—
1448Q8—3762no—
1449Q8—3762no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—3762no—
1454D4—3762no—
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—44no—
1494C2×C4—82no—
1495C2×C4—472no—
1496C2×C4—941no—
1497C2×C4—941no—
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—3762no—
1535C2×C4—3762no—
1536C2×C4—1884no—
1537C2×C4—1884no—
1538C2×C4—1884no—
1539C2×C4—1884no—
1540C2×C4—1884no—
1541C2×C4—1884no—
1542C2×C4#41×D4712yes—
1543C2×C4#1309406912yes—
1544C22—22no—
1545C22—22no—
1546C22—22no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—474no—
1566C22—942no—
1567C22—942no—
1568C22—942no—
1569C22—942no—
1570C22—942no—
1571C22—942no—
1572C22—942no—
1573C22—942no—
1574C22—942no—
1575C22—3768no—
1576C22—18816no—
1577C22—1881no—
1578C22—1881no—
1579C22—1881no—
1580C22—1881no—
1581C22—1881no—
1582C22—1881no—
1583C22—1881no—
1584C22—1881no—
1585C22—1881no—
1586C22—1881no—
1587C22—1881no—
1588C22C2×#41×D4711yescharacteristic
1589C22H(5,𝔽2)×D4711yescharacteristic
1590C22H(5,𝔽2)×D4711yescharacteristic
1591C22C2×#1309406911yescharacteristic
1592C22C2×#1309406911yescharacteristic
1593C222−1+4×D4711yescharacteristic
1594C22#1568996011yescharacteristic
1595C4—22no—
1596C4—22no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—942no—
1608C4—1881no—
1609C4—1881no—
1610C4—1881no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C4—1881no—
1615C4—1881no—
1616C4—1881no—
1617C4—1881no—
1618C4—1881no—
1619C4—1881no—
1620C2—42no—
1621C2—81no—
1622C2—81no—
1623C2—944no—
1624C2—3761no—
1625C2—1882no—
1626C2#542×D4711yescharacteristic
1627C2#2025707011yescharacteristic
1628C2#2025723811yescharacteristic
1629C2#2025753811yescharacteristic
1630C2#2025758011yescharacteristic
1631C2#2025758711yescharacteristic
1632C2#2025760611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2672C2
prime radical#20246740C2
hypercenter#2672D47
hypocenterC47#36793
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2672

Complements

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

NH ≅ G/Ntype
1. #20251677C2semidirect
2. #20251672C2semidirect
3. #20251237C2semidirect
4. #20250777C2semidirect
5. #20250723C2semidirect
6. #20250639C2semidirect
7. #20250447C2semidirect
8. #20250381C2semidirect
9. #20250312C2semidirect
10. #20250206C2semidirect
11. #20250161C2semidirect
12. #20250136C2semidirect
13. #20250057C2semidirect
14. #20249997C2semidirect
15. #20249982C2semidirect
16. #20249869C2semidirect
17. #20249798C2semidirect
18. #20249194C2semidirect
19. #20249160C2semidirect
20. #20248573C2semidirect
21. #20248393C2semidirect
22. #20247640C2semidirect
23. #20247637C2semidirect
24. #20247515C2semidirect
25. #20247510C2semidirect
26. #20247034C2semidirect
28. #20246122C2semidirect
29. #20246023C2semidirect
30. #386×D47C2semidirect
31. C47×#2672C2semidirect
34. C2×#13094019C22semidirect
35. C2×#13094019C22semidirect
38. C2×#13094010C22semidirect
39. C2×#13094005C22semidirect
43. C2×#13094000C22semidirect
51. #15689064C22semidirect
52. #15689059C22semidirect
53. #15689058C22semidirect
54. #15689056C22semidirect
55. #15689055C22semidirect
56. #15689052C22semidirect
57. #15689052C22semidirect
58. #15689052C22semidirect
59. #15689052C22semidirect
60. #15689051C22semidirect
61. #15689051C22semidirect
62. #15689051C22semidirect
63. #15689050C22semidirect
64. #15689049C22semidirect
65. #15689049C22semidirect
66. #15689048C22semidirect
67. #15689048C22semidirect
68. #15689046C22semidirect
69. #15689046C22semidirect
70. #15689046C22semidirect
71. #15689045C22semidirect
72. #15689045C22semidirect
73. #15689044C22semidirect
74. #15689043C22semidirect
77. #15689039C22semidirect
78. #15689039C22semidirect
79. #15689039C22semidirect
82. #15689038C22semidirect
84. #15689037C22semidirect
85. #15689037C22semidirect
86. #15689036C22semidirect
87. #15689035C22semidirect
88. #15689035C22semidirect
89. #15689035C22semidirect
90. #15689034C22semidirect
93. #15689030C22semidirect
94. #15689028C22semidirect
95. #15689027C22semidirect
96. #15689027C22semidirect
98. #15689026C22semidirect
102. #15689023C22semidirect
103. #15689022C22semidirect
104. #15689018C22semidirect
105. #15689018C22semidirect
106. #15689017C22semidirect
107. #15689017C22semidirect
108. #15689017C22semidirect
109. #15689016C22semidirect
110. #15689016C22semidirect
111. #15689014C22semidirect
112. #15689014C22semidirect
113. #15689013C22semidirect
114. #15689013C22semidirect
115. #15689011C22semidirect
116. #15689011C22semidirect
117. #15689010C22semidirect
118. #15689009C22semidirect
119. #15689008C22semidirect
120. #15689007C22semidirect
121. #15689004C22semidirect
122. #15689004C22semidirect
123. #15689004C22semidirect
124. #15689004C22semidirect
136. #15688999C22semidirect
137. #15688999C22semidirect
139. #15688996C22semidirect
140. #15688995C22semidirect
141. #15688995C22semidirect
147. #15688994C22semidirect
148. #15688994C22semidirect
149. #15688994C22semidirect
150. #15688994C22semidirect
151. #15688990C22semidirect
152. #15688987C22semidirect
153. #15688986C22semidirect
154. #15688986C22semidirect
155. #15688984C22semidirect
156. #15688983C22semidirect
160. #15688980C22semidirect
172. C2×#124×C47C22semidirect
173. C2×#123×C47C22semidirect
174. C2×C22⋊Q8×C47C22semidirect
176. C47×#399C22semidirect
177. C47×#396C22semidirect
178. C47×#395C22semidirect
180. C47×#394C22semidirect
181. C47×#394C22semidirect
182. C47×#389C22semidirect
183. C47×#388C22semidirect
185. C47×#385C22semidirect
186. C47×#380C22semidirect
821. #2672D47semidirect
855. C2×#124C2×D47semidirect
857. C2×#123C2×D47semidirect
862. C2×C22⋊Q8C2×D47semidirect
874. #399C2×D47semidirect
894. #396C2×D47semidirect
897. #395C2×D47semidirect
910. #394C2×D47semidirect
911. #394C2×D47semidirect
932. #389C2×D47semidirect
944. #388C2×D47semidirect
980. #385C2×D47semidirect
991. #380C2×D47semidirect
1003. C47#36793semidirect

Maximal subgroups

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

subgroupindex
#202516772
#202516722
#202512372
#202507772
#202507232
#202506392
#202504472
#202503812
#202503122
#202502062
#202501612
#202501362
#202500572
#202499972
#202499822
#202498692
#202497982
#202491942
#202491602
#202485732
#202483932
#202476402
#202476372
#202475152
#202475102
#202470342
#202467402
#202461222
#202460232
#386×D472
C47×#26722
#3679347