Finite Group Databasebeta

← #26425807

Subgroups — #26425807

Order 12032.

1800 conjugacy classes of subgroups.

The subgroup lattice has 1508 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251703C211yesmaximal, characteristic, complemented
2#20251249C211yesmaximal, characteristic, complemented
3#20251241C211yesmaximal, characteristic, complemented
4#20250759C211yesmaximal, characteristic, complemented
5#20250751C211yesmaximal, characteristic, complemented
6#20250569C211yesmaximal, characteristic, complemented
7#20250567C211yesmaximal, characteristic, complemented
8#20250440C211yesmaximal, characteristic, complemented
9#20250438C211yesmaximal, characteristic, complemented
10#20250218C211yesmaximal, characteristic, complemented
11#20250210C211yesmaximal, characteristic, complemented
12#20250156C211yesmaximal, characteristic, complemented
13#20250155C211yesmaximal, characteristic, complemented
14#20249782C211yesmaximal, characteristic, complemented
15#20249773C211yesmaximal, characteristic, complemented
16#20249767C211yesmaximal, characteristic, complemented
17#20249765C211yesmaximal, characteristic, complemented
18#20249449C211yesmaximal, characteristic, complemented
19#20249447C211yesmaximal, characteristic, complemented
20#20249052C211yesmaximal, characteristic, complemented
21#20248946C211yesmaximal, characteristic, complemented
22#20248944C211yesmaximal, characteristic, complemented
23#20248544C211yesmaximal, characteristic, complemented
24#20247543C211yesmaximal, characteristic, complemented
25#20247541C211yesmaximal, characteristic, complemented
26#20247014C211yesmaximal, characteristic, complemented
27#20246705C211yesmaximal, characteristic
28#20246142C211yesmaximal, characteristic, complemented
29#20245982C211yesmaximal, characteristic, complemented
30#20245878C211yesmaximal, characteristic, complemented
31C47×#2852C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C2×#13094023C2211yescharacteristic, complemented
34C2×#13094018C2211yescharacteristic
35C2×#13094011C2211yescharacteristic
36C2×#13094010C2211yescharacteristic
37C2×#13094010C2211yescharacteristic, complemented
38C2×#13094002C2211yescharacteristic
39C2×#13093994C2211yescharacteristic
40C2×#13093992C2211yescharacteristic
41C2×#13093983C2211yescharacteristic, complemented
42C2×C22⋊C4×D47C2211yescharacteristic
43C47⋊#401C2211yescharacteristic, complemented
44C47⋊#401C2211yescharacteristic, complemented
45#15689064C2211yescharacteristic, complemented
46#15689062C2211yescharacteristic, complemented
47#15689058C2211yescharacteristic
48#15689058C2211yescharacteristic
49#15689056C2211yescharacteristic, complemented
50#15689054C2211yescharacteristic, complemented
51#15689052C2211yescharacteristic
52#15689052C2211yescharacteristic
53#15689052C2211yescharacteristic
54#15689052C2211yescharacteristic, complemented
55#15689052C2211yescharacteristic, complemented
56#15689051C2211yescharacteristic
57#15689051C2211yescharacteristic, complemented
58#15689050C2211yescharacteristic, complemented
59#15689049C2211yescharacteristic, complemented
60#15689048C2211yescharacteristic
61#15689048C2211yescharacteristic
62#15689048C2211yescharacteristic, complemented
63#15689046C2211yescharacteristic
64#15689045C2211yescharacteristic
65#15689044C2211yescharacteristic, complemented
66#15689044C2211yescharacteristic, complemented
67#15689041C2211yescharacteristic
68#15689041C2211yescharacteristic
69#15689040C2211yescharacteristic
70#15689040C2211yescharacteristic
71#15689040C2211yescharacteristic
72#15689039C2211yescharacteristic
73#15689039C2211yescharacteristic
74#15689038C2211yescharacteristic
75#15689038C2211yescharacteristic
76#15689038C2211yescharacteristic
77#15689038C2211yescharacteristic
78#15689037C2211yescharacteristic
79#15689036C2211yescharacteristic
80#15689036C2211yescharacteristic
81#15689036C2211yescharacteristic
82#15689036C2211yescharacteristic
83#15689036C2211yescharacteristic
84#15689036C2211yescharacteristic, complemented
85#15689036C2211yescharacteristic, complemented
86#15689035C2211yescharacteristic
87#15689035C2211yescharacteristic
88#15689035C2211yescharacteristic
89#15689032C2211yescharacteristic
90#15689031C2211yescharacteristic
91#15689029C2211yescharacteristic, complemented
92#15689029C2211yescharacteristic, complemented
93#15689028C2211yescharacteristic, complemented
94#15689028C2211yescharacteristic, complemented
95#15689027C2211yescharacteristic, complemented
96#15689027C2211yescharacteristic, complemented
97#15689027C2211yescharacteristic, complemented
98#15689027C2211yescharacteristic, complemented
99#15689027C2211yescharacteristic, complemented
100#15689025C2211yescharacteristic
101#15689025C2211yescharacteristic
102#15689024C2211yescharacteristic
103#15689023C2211yescharacteristic
104#15689023C2211yescharacteristic, complemented
105#15689017C2211yescharacteristic
106#15689017C2211yescharacteristic
107#15689017C2211yescharacteristic
108#15689017C2211yescharacteristic, complemented
109#15689016C2211yescharacteristic
110#15689016C2211yescharacteristic
111#15689015C2211yescharacteristic
112#15689015C2211yescharacteristic
113#15689015C2211yescharacteristic
114#15689015C2211yescharacteristic
115#15689015C2211yescharacteristic, complemented
116#15689014C2211yescharacteristic
117#15689014C2211yescharacteristic
118#15689014C2211yescharacteristic
119#15689013C2211yescharacteristic
120#15689013C2211yescharacteristic
121#15689013C2211yescharacteristic
122#15689012C2211yescharacteristic
123#15689012C2211yescharacteristic
124#15689012C2211yescharacteristic
125#15689012C2211yescharacteristic, complemented
126#15689011C2211yescharacteristic
127#15689011C2211yescharacteristic, complemented
128#15689010C2211yescharacteristic, complemented
129#15689010C2211yescharacteristic, complemented
130#15689009C2211yescharacteristic, complemented
131#15689007C2211yescharacteristic, complemented
132#15689007C2211yescharacteristic, complemented
133#15689007C2211yescharacteristic, complemented
134#15689006C2211yescharacteristic, complemented
135#15689005C2211yescharacteristic, complemented
136#15689005C2211yescharacteristic, complemented
137#15689004C2211yescharacteristic, complemented
138#15689004C2211yescharacteristic, complemented
139#15689002C2211yescharacteristic
140#15689002C2211yescharacteristic
141#15689002C2211yescharacteristic
142#15689002C2211yescharacteristic
143#15689002C2211yescharacteristic
144#15689002C2211yescharacteristic, complemented
145#15689002C2211yescharacteristic, complemented
146#15689001C2211yescharacteristic
147#15689001C2211yescharacteristic
148#15688999C2211yescharacteristic
149#15688999C2211yescharacteristic
150#15688997C2211yescharacteristic, complemented
151#15688996C2211yescharacteristic, complemented
152#15688996C2211yescharacteristic, complemented
153#15688996C2211yescharacteristic, complemented
154#15688994C2211yescharacteristic, complemented
155#15688991C2211yescharacteristic, complemented
156#15688985C2211yescharacteristic
157#15688985C2211yescharacteristic
158#15688985C2211yescharacteristic
159#15688982C2211yescharacteristic
160#15688980C2211yescharacteristic
161#15688978C2211yescharacteristic
162#15688978C2211yescharacteristic
163#15688978C2211yescharacteristic
164#15688978C2211yescharacteristic
165C4⋊C4×Dic47C2211yescharacteristic, complemented
166#15688974C2211yescharacteristic, complemented
167C4×(C2×D47)⋊C4C2211yescharacteristic
168C4×(C2×D47)⋊C4C2211yescharacteristic
169C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
170C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
171#15688970C2211yescharacteristic
172C2×#126×C47C2211yescharacteristic
173C22×C42×C47C2211yescharacteristic, complemented
174C47×#388C2211yescharacteristic
175C47×#388C2211yescharacteristic
176C47×#388C2211yescharacteristic
177C47×#387C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#387C2211yescharacteristic, complemented
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#385C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic, complemented
185C47×#385C2211yescharacteristic, complemented
186C47×#383C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C2×#10625350—24no—
189C2×#10625350—42no—
190C2×#10625350—42no—
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C22×Dic94C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204#13094023—42no—
205#13094018—42no—
206#13094011—42no—
207#13094010—42no—
208#13094010—42no—
209#13094002—24no—
210#13093994—42no—
211#13093992—42no—
212#13093983—42no—
213C2×C4⋊Dic47C2311yescharacteristic
214C2×C4⋊Dic47C2311yescharacteristic
215C2×C4⋊Dic47C2311yescharacteristic
216C2×C4⋊Dic47C2311yescharacteristic
217C2×C4⋊Dic47C2311yescharacteristic
218C2×Dic47⋊C4C2311yescharacteristic
219C2×Dic47⋊C4C2311yescharacteristic
220C2×Dic47⋊C4C2311yescharacteristic
221C2×Dic47⋊C4C2311yescharacteristic
222C2×Dic47⋊C4C2311yescharacteristic
223C2×Dic47⋊C4C2311yescharacteristic
224C2×Dic47⋊C4C2311yescharacteristic
225C2×Dic47⋊C4C2311yescharacteristic
226C2×Dic47⋊C4C2311yescharacteristic
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×C22⋊Dic47C2311yescharacteristic
231C2×C22⋊Dic47C2311yescharacteristic
232C2×C22⋊Dic47C2311yescharacteristic
233C2×C22⋊Dic47C2311yescharacteristic
234C2×C22⋊Dic47C2311yescharacteristic
235C2×C22⋊Dic47C2311yescharacteristic
236C2×C22⋊Dic47C2311yescharacteristic
237C2×C22⋊Dic47C2311yescharacteristic
238C2×C22⋊Dic47C2311yescharacteristic
239C2×C22⋊Dic47C2311yescharacteristic
240C2×C22⋊Dic47C2311yescharacteristic
241C2×(C2×D47)⋊C4C2311yescharacteristic
242C2×(C2×D47)⋊C4C2311yescharacteristic
243C2×(C2×D47)⋊C4C2311yescharacteristic
244C2×(C2×D47)⋊C4C2311yescharacteristic
245C2×(C2×D47)⋊C4C2311yescharacteristic
246C2×(C2×D47)⋊C4C2311yescharacteristic
247C2×(C2×D47)⋊C4C2311yescharacteristic
248C2×(C2×D47)⋊C4C2311yescharacteristic
249C2×(C2×D47)⋊C4C2311yescharacteristic
250C2×(C2×D47)⋊C4C2311yescharacteristic
251C2×(C2×D47)⋊C4C2311yescharacteristic
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
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
273C22⋊C4×D47—24no—
274C2×C4×Dic47C2311yescharacteristic
275C2×C4×Dic47C2311yescharacteristic
276C2×C4×Dic47C2311yescharacteristic
277C2×C4×Dic47C2311yescharacteristic
278C2×C4×Dic47C2311yescharacteristic
279C2×C4×Dic47C2311yescharacteristic
280C2×C4×Dic47C2311yescharacteristic
281C2×C4×Dic47C2311yescharacteristic
282C47⋊#95C2311yescharacteristic
283C47⋊#95C2311yescharacteristic
284C47⋊#95C2311yescharacteristic
285C47⋊#95C2311yescharacteristic
286C47⋊#95C2311yescharacteristic
287C47⋊#95C2311yescharacteristic
288C47⋊#95C2311yescharacteristic
289C47⋊#95C2311yescharacteristic
290C47⋊#95C2311yescharacteristic
291C47⋊#95C2311yescharacteristic
292C47⋊#95C2311yescharacteristic
293C47⋊#95C2311yescharacteristic
294C47⋊#95C2311yescharacteristic
295C47⋊#95C2311yescharacteristic
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
320C22×D4×C47C2311yescharacteristic
321C23×C4×C47C2311yescharacteristic
322C23×C4×C47C2311yescharacteristic
323C23×C4×C47C2311yescharacteristic
324#126×C47—42no—
325C2×C4⋊C4×C47C2311yescharacteristic
326C2×C4⋊C4×C47C2311yescharacteristic
327C2×C4⋊C4×C47C2311yescharacteristic
328C2×C4⋊C4×C47C2311yescharacteristic
329C2×C4⋊C4×C47C2311yescharacteristic
330C2×C4⋊C4×C47C2311yescharacteristic
331C2×C22⋊C4×C47C2311yescharacteristic
332C2×C22⋊C4×C47C2311yescharacteristic
333C2×C22⋊C4×C47C2311yescharacteristic
334C2×C22⋊C4×C47C2311yescharacteristic
335C2×C22⋊C4×C47C2311yescharacteristic
336C2×C22⋊C4×C47C2311yescharacteristic
337C2×C22⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C22⋊C4×C47C2311yescharacteristic
340C2×C42×C47—42no—
341C2×C42×C47C2311yescharacteristic
342C2×C42×C47C2311yescharacteristic
343C2×C42×C47C2311yescharacteristic
344C2×C42×C47C2311yescharacteristic
345#95×C47C2311yescharacteristic
346#95×C47C2311yescharacteristic
347#95×C47C2311yescharacteristic
348#95×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357C24×C47C2411yescharacteristic
358C24×C47C2411yescharacteristic
359C23×D47—22no—
360C23×D47—41no—
361C23×D47—41no—
362C23×D47—41no—
363C23×D47—41no—
364C23×D47—41no—
365C23×D47—41no—
366C23×D47C2411yescharacteristic
367C23×D47C2411yescharacteristic
368C23×D47C2411yescharacteristic
369C2×D4×C47—22no—
370C2×D4×C47—41no—
371C2×D4×C47—41no—
372C22×C4×C47—22no—
373C22×C4×C47—22no—
374C22×C4×C47—22no—
375C22×C4×C47—41no—
376C22×C4×C47—41no—
377C22×C4×C47—41no—
378C22×C4×C47—41no—
379C22×C4×C47—41no—
380C22×C4×C47—41no—
381C22×C4×C47C2411yescharacteristic
382C22×C4×C47C2411yescharacteristic
383C22×C4×C47C2411yescharacteristic
384C22×C4×C47C2411yescharacteristic
385C22×C4×C47C2411yescharacteristic
386C22×C4×C47C2411yescharacteristic
387C22×C4×C47C2411yescharacteristic
388C22×C4×C47C2411yescharacteristic
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C2×C22⋊D47—22no—
395C2×C22⋊D47—22no—
396C2×C22⋊D47—22no—
397C2×C22⋊D47—22no—
398C2×C22⋊D47—22no—
399C2×C22⋊D47—41no—
400C2×C22⋊D47—41no—
401C2×C22⋊D47—41no—
402C2×C22⋊D47—41no—
403C2×C22⋊D47—41no—
404C2×C22⋊D47—41no—
405C2×C22⋊D47—41no—
406C22×Dic47C2411yescharacteristic
407C22×Dic47C2411yescharacteristic
408C22×Dic47C2411yescharacteristic
409C22×Dic47C2411yescharacteristic
410C22×Dic47C2411yescharacteristic
411C22×Dic47C2411yescharacteristic
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419#10625350—416no—
420C2×D188—22no—
421C2×D188—22no—
422C2×D188—41no—
423C2×D188—41no—
424C2×D188—41no—
425C2×D188—41no—
426C2×C4×D47—22no—
427C2×C4×D47—22no—
428C2×C4×D47—41no—
429C2×C4×D47—41no—
430C2×C4×D47—41no—
431C2×C4×D47—41no—
432C2×C4×D47—41no—
433C2×C4×D47—41no—
434C2×C4×D47#4114yes—
435C2×Dic94—22no—
436C2×Dic94—22no—
437C2×Dic94—22no—
438C2×Dic94—41no—
439C2×Dic94—41no—
440C2×Dic94—41no—
441C2×Dic94—41no—
442C2×Dic94—41no—
443C2×Dic94—41no—
444C2×Dic94—41no—
445C2×Dic94—41no—
446C2×Dic94—41no—
447C4⋊C4×C47—22no—
448C4⋊C4×C47—22no—
449C4⋊C4×C47—41no—
450C4⋊C4×C47—41no—
451C4⋊C4×C47—41no—
452C4⋊C4×C47—41no—
453C22⋊C4×C47—22no—
454C22⋊C4×C47—22no—
455C22⋊C4×C47—22no—
456C22⋊C4×C47—41no—
457C22⋊C4×C47—41no—
458C22⋊C4×C47—41no—
459C22⋊C4×C47—41no—
460C22⋊C4×C47—41no—
461C22⋊C4×C47—41no—
462C42×C47—22no—
463C42×C47—22no—
464C42×C47—41no—
465C42×C47—41no—
466C22⋊Dic47—22no—
467C22⋊Dic47—22no—
468C22⋊Dic47—22no—
469C22⋊Dic47—22no—
470C22⋊Dic47—41no—
471C22⋊Dic47—41no—
472C22⋊Dic47—41no—
473C22⋊Dic47—41no—
474C22⋊Dic47—41no—
475C22⋊Dic47—41no—
476C22⋊Dic47—41no—
477(C2×D47)⋊C4—22no—
478(C2×D47)⋊C4—22no—
479(C2×D47)⋊C4—22no—
480(C2×D47)⋊C4—22no—
481(C2×D47)⋊C4—22no—
482(C2×D47)⋊C4—41no—
483(C2×D47)⋊C4—41no—
484(C2×D47)⋊C4—41no—
485(C2×D47)⋊C4—41no—
486(C2×D47)⋊C4—41no—
487(C2×D47)⋊C4—41no—
488(C2×D47)⋊C4—41no—
489(C2×D47)⋊C4—41no—
490(C2×D47)⋊C4—41no—
491(C2×D47)⋊C4—41no—
492(C2×D47)⋊C4—41no—
493(C2×D47)⋊C4—41no—
494(C2×D47)⋊C4—41no—
495(C2×D47)⋊C4—41no—
496(C2×D47)⋊C4—41no—
497(C2×D47)⋊C4—41no—
498(C2×D47)⋊C4—41no—
499(C2×D47)⋊C4—41no—
500(C2×D47)⋊C4—41no—
501(C2×D47)⋊C4—41no—
502(C2×D47)⋊C4—41no—
503(C2×D47)⋊C4—41no—
504(C2×D47)⋊C4—41no—
505(C2×D47)⋊C4—41no—
506(C2×D47)⋊C4—41no—
507(C2×D47)⋊C4—41no—
508(C2×D47)⋊C4—41no—
509C4⋊Dic47—41no—
510C4⋊Dic47—41no—
511C4⋊Dic47—41no—
512C4⋊Dic47—41no—
513C4⋊Dic47—41no—
514Dic47⋊C4—22no—
515Dic47⋊C4—22no—
516Dic47⋊C4—22no—
517Dic47⋊C4—41no—
518Dic47⋊C4—41no—
519Dic47⋊C4—41no—
520Dic47⋊C4—41no—
521Dic47⋊C4—41no—
522Dic47⋊C4—41no—
523Dic47⋊C4—41no—
524Dic47⋊C4—41no—
525Dic47⋊C4—41no—
526C4×Dic47—41no—
527C4×Dic47—41no—
528C4×Dic47—41no—
529C4×Dic47—41no—
530C4×Dic47—41no—
531C4×Dic47—41no—
532C4×Dic47—41no—
533C4×Dic47—41no—
534C23×C47—21no—
535C23×C47—21no—
536C23×C47—21no—
537C23×C47—21no—
538C23×C47—21no—
539C23×C47—21no—
540C23×C47—21no—
541C23×C47—21no—
542C23×C47—21no—
543C23×C47—21no—
544C23×C47—21no—
545C23×C47—21no—
546C23×C47—21no—
547C23×C47H(5,𝔽2)12yes—
548C23×C47C2511yescharacteristic
549C22×D47—21no—
550C22×D47—21no—
551C22×D47—21no—
552C22×D47—21no—
553C22×D47—21no—
554C22×D47—21no—
555C22×D47—21no—
556C22×D47—21no—
557C22×D47—21no—
558C22×D47—21no—
559C22×D47—21no—
560C22×D47—21no—
561C22×D47—21no—
562C22×D47—21no—
563C22×D47—21no—
564C22×D47—21no—
565C22×D47—21no—
566C22×D47—21no—
567C22×D47—21no—
568C22×D47—21no—
569C22×D47—44no—
570C22×D47—82no—
571C22×D47—82no—
572C22×D47—82no—
573C22×D47—82no—
574C22×D47—82no—
575C22×D47—82no—
576C22×D47C2×#4112yes—
577D4×C47—82no—
578C2×C4×C47—28no—
579C2×C4×C47—21no—
580C2×C4×C47—21no—
581C2×C4×C47—21no—
582C2×C4×C47—21no—
583C2×C4×C47—21no—
584C2×C4×C47—21no—
585C2×C4×C47—21no—
586C2×C4×C47—21no—
587C2×C4×C47—21no—
588C2×C4×C47—21no—
589C2×C4×C47—21no—
590C2×C4×C47—21no—
591C2×C4×C47—21no—
592C2×C4×C47—21no—
593C2×C4×C47—21no—
594C2×C4×C47—21no—
595C2×C4×C47—21no—
596C2×C4×C47—21no—
597C2×C4×C47—21no—
598C2×C4×C47—21no—
599C2×C4×C47—21no—
600C2×C4×C47—21no—
601C2×C4×C47—21no—
602C2×C4×C47—21no—
603C2×C4×C47—21no—
604C2×C4×C47—21no—
605C2×C4×C47—21no—
606C2×C4×C47—21no—
607C2×C4×C47—21no—
608C2×C4×C47—21no—
609C2×C4×C47—21no—
610C2×C4×C47—21no—
611C2×C4×C47—21no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—44no—
617C2×C4×C47—44no—
618C2×C4×C47C2×#4112yes—
619C2×C4×C47H(5,𝔽2)12yes—
620C22⋊D47—44no—
621C22⋊D47—44no—
622C22⋊D47—82no—
623C22⋊D47—82no—
624C2×Dic47—21no—
625C2×Dic47—21no—
626C2×Dic47—21no—
627C2×Dic47—21no—
628C2×Dic47—21no—
629C2×Dic47—21no—
630C2×Dic47—21no—
631C2×Dic47—21no—
632C2×Dic47—21no—
633C2×Dic47—21no—
634C2×Dic47—21no—
635C2×Dic47—21no—
636C2×Dic47—21no—
637C2×Dic47—21no—
638C2×Dic47—21no—
639C2×Dic47—21no—
640C2×Dic47—21no—
641C2×Dic47—21no—
642C2×Dic47—21no—
643C2×Dic47—21no—
644C2×Dic47—21no—
645C2×Dic47—21no—
646C2×Dic47—21no—
647C2×Dic47—21no—
648C2×Dic47—21no—
649C2×Dic47—21no—
650C2×Dic47—21no—
651C2×Dic47—21no—
652C2×Dic47—21no—
653C2×Dic47—21no—
654C2×Dic47—21no—
655C2×Dic47—21no—
656C2×Dic47—21no—
657C2×Dic47—21no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47C2×#4112yes—
663D188—44no—
664D188—82no—
665C4×D47—44no—
666C4×D47—44no—
667C4×D47—82no—
668Dic94—44no—
669Dic94—82no—
670Dic94—82no—
671Dic94—82no—
672#36816—471nomaximal, Sylow
673C22×C47—22no—
674C22×C47—22no—
675C22×C47—22no—
676C22×C47—41no—
677C22×C47—41no—
678C22×C47—41no—
679C22×C47—41no—
680C22×C47—41no—
681C22×C47—41no—
682C22×C47—41no—
683C22×C47—41no—
684C22×C47—41no—
685C22×C47—41no—
686C22×C47—41no—
687C22×C47C22×#4111yescharacteristic
688C22×C47C2×H(5,𝔽2)11yescharacteristic
689C22×C47C2×H(5,𝔽2)11yescharacteristic
690C22×C47#58511yescharacteristic
691C22×C47#58511yescharacteristic
692C22×C47#58511yescharacteristic
693C22×C47#58511yescharacteristic
694C2×D47—22no—
695C2×D47—22no—
696C2×D47—22no—
697C2×D47—41no—
698C2×D47—41no—
699C2×D47—41no—
700C2×D47—41no—
701C2×D47—41no—
702C2×D47—41no—
703C2×D47—41no—
704C2×D47—41no—
705C2×D47—41no—
706C2×D47—41no—
707C2×D47—41no—
708C2×D47—41no—
709C2×D47—41no—
710C2×D47—41no—
711C2×D47—41no—
712C2×D47—41no—
713C2×D47—41no—
714C2×D47—41no—
715C2×D47—88no—
716C4×C47—22no—
717C4×C47—22no—
718C4×C47—41no—
719C4×C47—41no—
720C4×C47—41no—
721C4×C47—41no—
722C4×C47—41no—
723C4×C47—41no—
724C4×C47—41no—
725C4×C47—41no—
726C4×C47—41no—
727C4×C47—41no—
728C4×C47—41no—
729Dic47—22no—
730Dic47—41no—
731Dic47—41no—
732Dic47—41no—
733Dic47—41no—
734Dic47—41no—
735Dic47—41no—
736Dic47—41no—
737Dic47—41no—
738Dic47—41no—
739Dic47—41no—
740Dic47—41no—
741Dic47—41no—
742#2852—471no—
743#2852D4711yescharacteristic, complemented
744#2797—471no—
745#2797—471no—
746#2759—471no—
747#2759—471no—
748#2746—471no—
749#2746—471no—
750#2737—471no—
751#2737—471no—
752#2716—471no—
753#2716—471no—
754#2712—471no—
755#2712—471no—
756#2685—471no—
757#2685—471no—
758#2684—471no—
759#2684—471no—
760#2653—471no—
761#2653—471no—
762#2607—471no—
763#2597—471no—
764#2597—471no—
765#2561—471no—
766#2474—471no—
767#2474—471no—
768#2432—471no—
769#2404—471no—
770#2332—471no—
771#2312—471no—
772#2297—471no—
773C2×C47—42no—
774C2×C47—81no—
775C2×C47#345511yescharacteristic
776C2×C47#349011yescharacteristic
777C2×C47#351011yescharacteristic
778C2×C47#354011yescharacteristic
779C2×C47#354011yescharacteristic
780C2×C47#356011yescharacteristic
781C2×C47#356011yescharacteristic
782D47—42no—
783D47—81no—
784D47—81no—
785C22×#41—471no—
786C2×C4⋊Q8—471no—
787C2×#126—471no—
788C2×#126C2×D4711yescharacteristic
789C2×#124—471no—
790C2×#124—471no—
791C2×#124—471no—
792C2×C22⋊Q8—471no—
793C2×#120—471no—
794C2×#120—471no—
795C2×#117—471no—
796C22×C22⋊C4—471no—
797C22×C42C2×D4711yescharacteristic, complemented
798#401—471no—
799#401—471no—
800#400—471no—
801#400—471no—
802#399—471no—
803#399—471no—
804#398—471no—
805#398—471no—
806#397—471no—
807#397—471no—
808#397—471no—
809#397—471no—
810#397—471no—
811#397—471no—
812#397—471no—
813#397—471no—
814#397—471no—
815#397—471no—
816#397—471no—
817#397—471no—
818#396—471no—
819#396—471no—
820#395—471no—
821#395—471no—
822#394—471no—
823#394—471no—
824#394—471no—
825#394—471no—
826#394—471no—
827#394—471no—
828#394—471no—
829#394—471no—
830#394—471no—
831#394—471no—
832#394—471no—
833#394—471no—
834#393—471no—
835#393—471no—
836#393—471no—
837#393—471no—
838#393—471no—
839#393—471no—
840#393—471no—
841#393—471no—
842#393—471no—
843#393—471no—
844#392—471no—
845#392—471no—
846#391—471no—
847#391—471no—
848#391—471no—
849#391—471no—
850#391—471no—
851#391—471no—
852#391—471no—
853#391—471no—
854#391—471no—
855#390—471no—
856#390—471no—
857#390—471no—
858#390—471no—
859#390—471no—
860#388—471no—
861#388—471no—
862#388—471no—
863#388—471no—
864#388—471no—
865#388—471no—
866#388—471no—
867#388—471no—
868#388—471no—
869#388—471no—
870#388—471no—
871#388—471no—
872#388—471no—
873#388—471no—
874#388—471no—
875#388—471no—
876#388—471no—
877#388—471no—
878#388—471no—
879#388—471no—
880#388—471no—
881#388—471no—
882#388—471no—
883#388C2×D4711yescharacteristic
884#388C2×D4711yescharacteristic
885#388C2×D4711yescharacteristic
886#387—471no—
887#387—471no—
888#387—471no—
889#387—471no—
890#387—471no—
891#387—471no—
892#387—471no—
893#387—471no—
894#387—471no—
895#387—471no—
896#387—471no—
897#387C2×D4711yescharacteristic, complemented
898#387C2×D4711yescharacteristic, complemented
899#387C2×D4711yescharacteristic, complemented
900#386—471no—
901#386—471no—
902#386—471no—
903#386—471no—
904#386—471no—
905#386—471no—
906#386—471no—
907#386—471no—
908#386—471no—
909#386—471no—
910#386—471no—
911#386C2×D4711yescharacteristic
912#386C2×D4711yescharacteristic
913#386C2×D4711yescharacteristic
914#385—471no—
915#385—471no—
916#385—471no—
917#385—471no—
918#385—471no—
919#385C2×D4711yescharacteristic, complemented
920#385C2×D4711yescharacteristic, complemented
921#385C2×D4711yescharacteristic, complemented
922#383—471no—
923#383C2×D4711yescharacteristic, complemented
924#381—471no—
925#381—471no—
926#381—471no—
927#380—471no—
928#380—471no—
929#379—471no—
930#379—471no—
931#379—471no—
932#379—471no—
933C4×C4⋊C4—471no—
934C4×C4⋊C4—471no—
935C4×C22⋊C4—471no—
936C4×C22⋊C4—471no—
937C4×C22⋊C4—471no—
938C4×C22⋊C4—471no—
939C4×C22⋊C4—471no—
940C47#3681611yescharacteristic, complemented, Sylow
941C25—471no—
942C2×#41—944no—
943C2×#41—1882no—
944C2×#41—1882no—
945C22×Q8—471no—
946C22×Q8—471no—
947C22×Q8—471no—
948C22×Q8—471no—
949C22×D4—471no—
950C22×D4—471no—
951C22×D4—471no—
952C22×D4—471no—
953C22×D4—471no—
954C22×D4—471no—
955C22×D4C22×D4711yescharacteristic
956C23×C4—471no—
957C23×C4—471no—
958C23×C4—471no—
959C23×C4C22×D4711yescharacteristic
960C23×C4C22×D4711yescharacteristic
961C23×C4C22×D4711yescharacteristic
962C4⋊Q8—1882no—
963#126—42no—
964#126—1882no—
965#124—1882no—
966#124—1882no—
967#124—1882no—
968C22⋊Q8—944no—
969#120—1882no—
970#120—1882no—
971#117—1882no—
972C2×C4⋊C4—471no—
973C2×C4⋊C4—471no—
974C2×C4⋊C4—471no—
975C2×C4⋊C4—471no—
976C2×C4⋊C4—471no—
977C2×C4⋊C4—471no—
978C2×C4⋊C4—471no—
979C2×C4⋊C4—471no—
980C2×C4⋊C4—471no—
981C2×C4⋊C4—471no—
982C2×C4⋊C4—471no—
983C2×C4⋊C4—471no—
984C2×C4⋊C4—471no—
985C2×C4⋊C4—471no—
986C2×C4⋊C4—471no—
987C2×C4⋊C4—471no—
988C2×C4⋊C4—471no—
989C2×C4⋊C4C22×D4711yescharacteristic
990C2×C4⋊C4C22×D4711yescharacteristic
991C2×C4⋊C4C22×D4711yescharacteristic
992C2×C4⋊C4C22×D4711yescharacteristic
993C2×C4⋊C4C22×D4711yescharacteristic
994C2×C4⋊C4C22×D4711yescharacteristic
995C2×C22⋊C4—471no—
996C2×C22⋊C4—471no—
997C2×C22⋊C4—471no—
998C2×C22⋊C4—471no—
999C2×C22⋊C4—471no—
1000C2×C22⋊C4—471no—
1001C2×C22⋊C4—471no—
1002C2×C22⋊C4—471no—
1003C2×C22⋊C4—471no—
1004C2×C22⋊C4—471no—
1005C2×C22⋊C4—471no—
1006C2×C22⋊C4—471no—
1007C2×C22⋊C4—471no—
1008C2×C22⋊C4—471no—
1009C2×C22⋊C4—471no—
1010C2×C22⋊C4—471no—
1011C2×C22⋊C4—471no—
1012C2×C22⋊C4—471no—
1013C2×C22⋊C4—471no—
1014C2×C22⋊C4—471no—
1015C2×C22⋊C4—471no—
1016C2×C22⋊C4—471no—
1017C2×C22⋊C4—471no—
1018C2×C22⋊C4—471no—
1019C2×C22⋊C4—471no—
1020C2×C22⋊C4—471no—
1021C2×C22⋊C4—471no—
1022C2×C22⋊C4—471no—
1023C2×C22⋊C4—471no—
1024C2×C22⋊C4—471no—
1025C2×C22⋊C4—471no—
1026C2×C22⋊C4—471no—
1027C2×C22⋊C4—471no—
1028C2×C22⋊C4—471no—
1029C2×C22⋊C4—471no—
1030C2×C22⋊C4—471no—
1031C2×C22⋊C4—471no—
1032C2×C22⋊C4—471no—
1033C2×C22⋊C4—471no—
1034C2×C22⋊C4—471no—
1035C2×C22⋊C4—471no—
1036C2×C22⋊C4—471no—
1037C2×C22⋊C4—471no—
1038C2×C22⋊C4—944no—
1039C2×C22⋊C4C22×D4711yescharacteristic
1040C2×C22⋊C4C22×D4711yescharacteristic
1041C2×C22⋊C4C22×D4711yescharacteristic
1042C2×C22⋊C4C22×D4711yescharacteristic
1043C2×C22⋊C4C22×D4711yescharacteristic
1044C2×C22⋊C4C22×D4711yescharacteristic
1045C2×C22⋊C4C22×D4711yescharacteristic
1046C2×C22⋊C4C22×D4711yescharacteristic
1047C2×C22⋊C4C22×D4711yescharacteristic
1048C2×C42—42no—
1049C2×C42—471no—
1050C2×C42—471no—
1051C2×C42—471no—
1052C2×C42—471no—
1053C2×C42—471no—
1054C2×C42—471no—
1055C2×C42—471no—
1056C2×C42—471no—
1057C2×C42C22×D4711yescharacteristic
1058C2×C42C22×D4711yescharacteristic
1059C2×C42C22×D4711yescharacteristic
1060C2×C42C22×D4711yescharacteristic
1061#95—471no—
1062#95—471no—
1063#95—471no—
1064#95—471no—
1065#95—471no—
1066#95—471no—
1067#95—471no—
1068#95—471no—
1069#95—471no—
1070#95—471no—
1071#95—471no—
1072#95—471no—
1073#95—471no—
1074#95—471no—
1075#95—471no—
1076#95—471no—
1077#95—471no—
1078#95—471no—
1079#95—471no—
1080#95—471no—
1081#95—471no—
1082#95—471no—
1083#95—471no—
1084#95—471no—
1085#95—471no—
1086#95—471no—
1087#95—471no—
1088#95—471no—
1089#95—471no—
1090#95—471no—
1091#95—471no—
1092#95—471no—
1093#95—471no—
1094#95—471no—
1095#95—471no—
1096#95—471no—
1097#95—471no—
1098#95—471no—
1099#95C22×D4711yescharacteristic
1100#95C22×D4711yescharacteristic
1101#95C22×D4711yescharacteristic
1102#95C22×D4711yescharacteristic
1103#95C22×D4711yescharacteristic
1104#95C22×D4711yescharacteristic
1105#95C22×D4711yescharacteristic
1106#95C22×D4711yescharacteristic
1107#95C22×D4711yescharacteristic
1108#95C22×D4711yescharacteristic
1109#95C22×D4711yescharacteristic
1110#95C22×D4711yescharacteristic
1111C24—471no—
1112C24—471no—
1113C24—471no—
1114C24—942no—
1115C24—1881no—
1116C24—1881no—
1117C24—1881no—
1118C24—1881no—
1119C24—1881no—
1120C24—1881no—
1121C24C23×D4711yescharacteristic
1122C24C23×D4711yescharacteristic
1123#41—18816no—
1124C2×Q8—942no—
1125C2×Q8—942no—
1126C2×Q8—942no—
1127C2×Q8—1881no—
1128C2×Q8—1881no—
1129C2×Q8—1881no—
1130C2×Q8—1881no—
1131C2×Q8—1881no—
1132C2×Q8—1881no—
1133C2×Q8—1881no—
1134C2×Q8—1881no—
1135C2×Q8—1881no—
1136C2×D4—22no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—942no—
1140C2×D4—942no—
1141C2×D4—942no—
1142C2×D4—942no—
1143C2×D4—942no—
1144C2×D4—942no—
1145C2×D4—942no—
1146C2×D4—1881no—
1147C2×D4—1881no—
1148C2×D4—1881no—
1149C2×D4—1881no—
1150C2×D4—1881no—
1151C2×D4—1881no—
1152C2×D4—1881no—
1153C2×D4—1881no—
1154C2×D4—1881no—
1155C2×D4—1881no—
1156C2×D4—1881no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4—41no—
1166C22×C4—471no—
1167C22×C4—474no—
1168C22×C4—471no—
1169C22×C4—471no—
1170C22×C4—471no—
1171C22×C4—471no—
1172C22×C4—471no—
1173C22×C4—471no—
1174C22×C4—471no—
1175C22×C4—471no—
1176C22×C4—471no—
1177C22×C4—471no—
1178C22×C4—471no—
1179C22×C4—471no—
1180C22×C4—942no—
1181C22×C4—942no—
1182C22×C4—1881no—
1183C22×C4—1881no—
1184C22×C4—1881no—
1185C22×C4—1881no—
1186C22×C4—1881no—
1187C22×C4—1881no—
1188C22×C4C23×D4711yescharacteristic
1189C22×C4C23×D4711yescharacteristic
1190C22×C4C23×D4711yescharacteristic
1191C22×C4C23×D4711yescharacteristic
1192C22×C4C23×D4711yescharacteristic
1193C22×C4C23×D4711yescharacteristic
1194C22×C4C23×D4711yescharacteristic
1195C22×C4C23×D4711yescharacteristic
1196C22×C4C23×D4711yescharacteristic
1197C22×C4C23×D4711yescharacteristic
1198C22×C4C23×D4711yescharacteristic
1199C22×C4C23×D4711yescharacteristic
1200C22×C4C23×D4711yescharacteristic
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—41no—
1204C4⋊C4—41no—
1205C4⋊C4—41no—
1206C4⋊C4—41no—
1207C4⋊C4—942no—
1208C4⋊C4—942no—
1209C4⋊C4—942no—
1210C4⋊C4—1881no—
1211C4⋊C4—1881no—
1212C4⋊C4—1881no—
1213C4⋊C4—1881no—
1214C4⋊C4—1881no—
1215C4⋊C4—1881no—
1216C4⋊C4—1881no—
1217C4⋊C4—1881no—
1218C4⋊C4—1881no—
1219C4⋊C4—1881no—
1220C4⋊C4—1881no—
1221C4⋊C4—1881no—
1222C4⋊C4—1881no—
1223C4⋊C4—1881no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—41no—
1228C22⋊C4—41no—
1229C22⋊C4—41no—
1230C22⋊C4—41no—
1231C22⋊C4—41no—
1232C22⋊C4—41no—
1233C22⋊C4—942no—
1234C22⋊C4—942no—
1235C22⋊C4—942no—
1236C22⋊C4—942no—
1237C22⋊C4—942no—
1238C22⋊C4—942no—
1239C22⋊C4—942no—
1240C22⋊C4—942no—
1241C22⋊C4—942no—
1242C22⋊C4—1881no—
1243C22⋊C4—1881no—
1244C22⋊C4—1881no—
1245C22⋊C4—1881no—
1246C22⋊C4—1881no—
1247C22⋊C4—1881no—
1248C22⋊C4—1881no—
1249C22⋊C4—1881no—
1250C22⋊C4—1881no—
1251C22⋊C4—1881no—
1252C22⋊C4—1881no—
1253C22⋊C4—1881no—
1254C22⋊C4—1881no—
1255C22⋊C4—1881no—
1256C22⋊C4—1881no—
1257C22⋊C4—1881no—
1258C22⋊C4—1881no—
1259C22⋊C4—1881no—
1260C22⋊C4—1881no—
1261C22⋊C4—1881no—
1262C22⋊C4—1881no—
1263C22⋊C4—1881no—
1264C22⋊C4—1881no—
1265C22⋊C4—1881no—
1266C22⋊C4—1881no—
1267C22⋊C4—1881no—
1268C22⋊C4—1881no—
1269C22⋊C4—1881no—
1270C22⋊C4—1881no—
1271C22⋊C4—1881no—
1272C22⋊C4—1881no—
1273C22⋊C4—1881no—
1274C22⋊C4—1881no—
1275C22⋊C4—1881no—
1276C42—22no—
1277C42—22no—
1278C42—41no—
1279C42—41no—
1280C42—1881no—
1281C42—1881no—
1282C42—1881no—
1283C42—1881no—
1284C42—1881no—
1285C42—1881no—
1286C42—1881no—
1287C42—1881no—
1288C23—21no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—472no—
1302C23—941no—
1303C23—941no—
1304C23—941no—
1305C23—941no—
1306C23—941no—
1307C23—941no—
1308C23—941no—
1309C23—941no—
1310C23—941no—
1311C23—941no—
1312C23—941no—
1313C23—941no—
1314C23—941no—
1315C23—941no—
1316C23—941no—
1317C23—941no—
1318C23—941no—
1319C23—941no—
1320C23—941no—
1321C23—941no—
1322C23—3762no—
1323C23—3762no—
1324C23—3762no—
1325C23—3762no—
1326C23—3762no—
1327C23—3762no—
1328C23—1884no—
1329C23#1309407012yes—
1330C23C24×D4711yescharacteristic
1331Q8—3762no—
1332Q8—3762no—
1333Q8—3762no—
1334Q8—1884no—
1335D4—82no—
1336D4—3762no—
1337D4—3762no—
1338D4—3762no—
1339D4—1884no—
1340D4—1884no—
1341D4—1884no—
1342C2×C4—28no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—44no—
1381C2×C4—44no—
1382C2×C4—472no—
1383C2×C4—941no—
1384C2×C4—941no—
1385C2×C4—941no—
1386C2×C4—941no—
1387C2×C4—941no—
1388C2×C4—941no—
1389C2×C4—941no—
1390C2×C4—941no—
1391C2×C4—941no—
1392C2×C4—941no—
1393C2×C4—941no—
1394C2×C4—941no—
1395C2×C4—941no—
1396C2×C4—941no—
1397C2×C4—941no—
1398C2×C4—941no—
1399C2×C4—941no—
1400C2×C4—941no—
1401C2×C4—941no—
1402C2×C4—941no—
1403C2×C4—941no—
1404C2×C4—941no—
1405C2×C4—941no—
1406C2×C4—941no—
1407C2×C4—941no—
1408C2×C4—941no—
1409C2×C4—941no—
1410C2×C4—941no—
1411C2×C4—941no—
1412C2×C4—941no—
1413C2×C4—941no—
1414C2×C4—941no—
1415C2×C4—941no—
1416C2×C4—941no—
1417C2×C4—941no—
1418C2×C4—941no—
1419C2×C4—941no—
1420C2×C4—941no—
1421C2×C4—3762no—
1422C2×C4—1884no—
1423C2×C4—1884no—
1424C2×C4#41×D4712yes—
1425C2×C4#1309406912yes—
1426C22—22no—
1427C22—22no—
1428C22—22no—
1429C22—41no—
1430C22—41no—
1431C22—41no—
1432C22—41no—
1433C22—41no—
1434C22—41no—
1435C22—41no—
1436C22—41no—
1437C22—41no—
1438C22—41no—
1439C22—41no—
1440C22—942no—
1441C22—942no—
1442C22—942no—
1443C22—3768no—
1444C22—1881no—
1445C22—1881no—
1446C22—1881no—
1447C22—1881no—
1448C22—1881no—
1449C22—1881no—
1450C22—1881no—
1451C22—1881no—
1452C22—1881no—
1453C22—1881no—
1454C22—1881no—
1455C22—1881no—
1456C22—1881no—
1457C22—1881no—
1458C22—1881no—
1459C22—1881no—
1460C22—1881no—
1461C22—1881no—
1462C22C2×#41×D4711yescharacteristic
1463C22C2×#1309406911yescharacteristic
1464C22C2×#1309407011yescharacteristic
1465C22#1568995911yescharacteristic
1466C22#1568995911yescharacteristic
1467C22#1568995911yescharacteristic
1468C22#1568995911yescharacteristic
1469C4—22no—
1470C4—22no—
1471C4—41no—
1472C4—41no—
1473C4—41no—
1474C4—41no—
1475C4—41no—
1476C4—41no—
1477C4—41no—
1478C4—41no—
1479C4—41no—
1480C4—41no—
1481C4—41no—
1482C4—942no—
1483C4—1881no—
1484C4—1881no—
1485C4—1881no—
1486C4—1881no—
1487C4—1881no—
1488C4—1881no—
1489C4—1881no—
1490C4—1881no—
1491C4—1881no—
1492C4—1881no—
1493C4—1881no—
1494C4—1881no—
1495C2—42no—
1496C2—81no—
1497C2—3761no—
1498C2—3761no—
1499C2—1882no—
1500C2#2025677111yescharacteristic
1501C2#2025707111yescharacteristic
1502C2#2025727711yescharacteristic
1503C2#2025765611yescharacteristic
1504C2#2025766311yescharacteristic
1505C2#2025793411yescharacteristic
1506C2#2025794011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2852C2
prime radical#20246705C2
hypercenter#2852D47
hypocenterC47#36816
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2852

Complements

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

NH ≅ G/Ntype
1. #20251703C2semidirect
2. #20251249C2semidirect
3. #20251241C2semidirect
4. #20250759C2semidirect
5. #20250751C2semidirect
6. #20250569C2semidirect
7. #20250567C2semidirect
8. #20250440C2semidirect
9. #20250438C2semidirect
10. #20250218C2semidirect
11. #20250210C2semidirect
12. #20250156C2semidirect
13. #20250155C2semidirect
14. #20249782C2semidirect
15. #20249773C2semidirect
16. #20249767C2semidirect
17. #20249765C2semidirect
18. #20249449C2semidirect
19. #20249447C2semidirect
20. #20249052C2semidirect
21. #20248946C2semidirect
22. #20248944C2semidirect
23. #20248544C2semidirect
24. #20247543C2semidirect
25. #20247541C2semidirect
26. #20247014C2semidirect
28. #20246142C2semidirect
29. #20245982C2semidirect
30. #20245878C2semidirect
31. C47×#2852C2semidirect
33. C2×#13094023C22semidirect
37. C2×#13094010C22semidirect
41. C2×#13093983C22semidirect
43. C47⋊#401C22semidirect
44. C47⋊#401C22semidirect
45. #15689064C22semidirect
46. #15689062C22semidirect
49. #15689056C22semidirect
50. #15689054C22semidirect
54. #15689052C22semidirect
55. #15689052C22semidirect
57. #15689051C22semidirect
58. #15689050C22semidirect
59. #15689049C22semidirect
62. #15689048C22semidirect
65. #15689044C22semidirect
66. #15689044C22semidirect
84. #15689036C22semidirect
85. #15689036C22semidirect
91. #15689029C22semidirect
92. #15689029C22semidirect
93. #15689028C22semidirect
94. #15689028C22semidirect
95. #15689027C22semidirect
96. #15689027C22semidirect
97. #15689027C22semidirect
98. #15689027C22semidirect
99. #15689027C22semidirect
104. #15689023C22semidirect
108. #15689017C22semidirect
115. #15689015C22semidirect
125. #15689012C22semidirect
127. #15689011C22semidirect
128. #15689010C22semidirect
129. #15689010C22semidirect
130. #15689009C22semidirect
131. #15689007C22semidirect
132. #15689007C22semidirect
133. #15689007C22semidirect
134. #15689006C22semidirect
135. #15689005C22semidirect
136. #15689005C22semidirect
137. #15689004C22semidirect
138. #15689004C22semidirect
144. #15689002C22semidirect
145. #15689002C22semidirect
150. #15688997C22semidirect
151. #15688996C22semidirect
152. #15688996C22semidirect
153. #15688996C22semidirect
154. #15688994C22semidirect
155. #15688991C22semidirect
165. C4⋊C4×Dic47C22semidirect
166. #15688974C22semidirect
169. C4×(C2×D47)⋊C4C22semidirect
170. C4×(C2×D47)⋊C4C22semidirect
173. C22×C42×C47C22semidirect
177. C47×#387C22semidirect
178. C47×#387C22semidirect
179. C47×#387C22semidirect
183. C47×#385C22semidirect
184. C47×#385C22semidirect
185. C47×#385C22semidirect
186. C47×#383C22semidirect
743. #2852D47semidirect
797. C22×C42C2×D47semidirect
897. #387C2×D47semidirect
898. #387C2×D47semidirect
899. #387C2×D47semidirect
919. #385C2×D47semidirect
920. #385C2×D47semidirect
921. #385C2×D47semidirect
923. #383C2×D47semidirect
940. C47#36816semidirect

Maximal subgroups

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

subgroupindex
#202517032
#202512492
#202512412
#202507592
#202507512
#202505692
#202505672
#202504402
#202504382
#202502182
#202502102
#202501562
#202501552
#202497822
#202497732
#202497672
#202497652
#202494492
#202494472
#202490522
#202489462
#202489442
#202485442
#202475432
#202475412
#202470142
#202467052
#202461422
#202459822
#202458782
C47×#28522
#3681647