Finite Group Databasebeta

← #26424721

Subgroups — #26424721

Order 12032.

1994 conjugacy classes of subgroups.

The subgroup lattice has 1600 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251700C211yesmaximal, characteristic, complemented
2#20251692C211yesmaximal, characteristic, complemented
3#20251053C211yesmaximal, characteristic, complemented
4#20251052C211yesmaximal, characteristic, complemented
5#20251009C211yesmaximal, characteristic, complemented
6#20250826C211yesmaximal, characteristic, complemented
7#20250808C211yesmaximal, characteristic, complemented
8#20250768C211yesmaximal, characteristic, complemented
9#20250703C211yesmaximal, characteristic, complemented
10#20250606C211yesmaximal, characteristic, complemented
11#20250520C211yesmaximal, characteristic, complemented
12#20250500C211yesmaximal, characteristic, complemented
13#20250431C211yesmaximal, characteristic, complemented
14#20250424C211yesmaximal, characteristic, complemented
15#20250379C211yesmaximal, characteristic, complemented
16#20249773C211yesmaximal, characteristic, complemented
17#20249771C211yesmaximal, characteristic, complemented
18#20249169C211yesmaximal, characteristic, complemented
19#20249135C211yesmaximal, characteristic, complemented
20#20247949C211yesmaximal, characteristic, complemented
21#20247707C211yesmaximal, characteristic, complemented
22#20247145C211yesmaximal, characteristic, complemented
23#20247051C211yesmaximal, characteristic, complemented
24#20246946C211yesmaximal, characteristic, complemented
25#20246781C211yesmaximal, characteristic, complemented
26#20246757C211yesmaximal, characteristic
27#20246710C211yesmaximal, characteristic, complemented
28#20246050C211yesmaximal, characteristic, complemented
29#20245962C211yesmaximal, characteristic, complemented
30#388×D47C211yesmaximal, characteristic, complemented
31C47×#2702C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C2×#13094013C2211yescharacteristic, complemented
34C2×#13094009C2211yescharacteristic
35C2×#13094009C2211yescharacteristic, complemented
36C2×#13094006C2211yescharacteristic
37C2×#13094000C2211yescharacteristic, complemented
38C2×#13093999C2211yescharacteristic
39C2×#13093997C2211yescharacteristic
40C2×#13093994C2211yescharacteristic
41C2×#13093994C2211yescharacteristic
42C2×C4×D188C2211yescharacteristic, complemented
43C2×C4⋊C4×D47C2211yescharacteristic, complemented
44C22×(C2×D47)⋊C4C2211yescharacteristic
45C2×C22⋊C4×D47C2211yescharacteristic
46C2×C22⋊C4×D47C2211yescharacteristic
47C2×C22⋊C4×D47C2211yescharacteristic
48C2×C42×D47C2211yescharacteristic, complemented
49C47⋊#401C2211yescharacteristic, complemented
50#15689065C2211yescharacteristic, complemented
51#15689064C2211yescharacteristic, complemented
52#15689064C2211yescharacteristic, complemented
53#15689063C2211yescharacteristic, complemented
54#15689063C2211yescharacteristic, complemented
55#15689058C2211yescharacteristic
56#15689058C2211yescharacteristic, complemented
57#15689058C2211yescharacteristic, complemented
58#15689057C2211yescharacteristic, complemented
59#15689056C2211yescharacteristic, complemented
60#15689056C2211yescharacteristic, complemented
61#15689053C2211yescharacteristic, complemented
62#15689052C2211yescharacteristic
63#15689052C2211yescharacteristic, complemented
64#15689051C2211yescharacteristic, complemented
65#15689050C2211yescharacteristic, complemented
66#15689050C2211yescharacteristic, complemented
67#15689049C2211yescharacteristic
68#15689049C2211yescharacteristic, complemented
69#15689049C2211yescharacteristic, complemented
70#15689049C2211yescharacteristic, complemented
71#15689048C2211yescharacteristic, complemented
72#15689046C2211yescharacteristic, complemented
73#15689045C2211yescharacteristic
74#15689045C2211yescharacteristic
75#15689045C2211yescharacteristic, complemented
76#15689045C2211yescharacteristic, complemented
77#15689045C2211yescharacteristic, complemented
78#15689041C2211yescharacteristic
79#15689040C2211yescharacteristic
80#15689040C2211yescharacteristic, complemented
81#15689039C2211yescharacteristic
82#15689039C2211yescharacteristic, complemented
83#15689038C2211yescharacteristic
84#15689038C2211yescharacteristic
85#15689038C2211yescharacteristic, complemented
86#15689038C2211yescharacteristic, complemented
87#15689037C2211yescharacteristic
88#15689034C2211yescharacteristic
89#15689032C2211yescharacteristic
90#15689031C2211yescharacteristic
91#15689030C2211yescharacteristic, complemented
92#15689025C2211yescharacteristic, complemented
93#15689024C2211yescharacteristic
94#15689023C2211yescharacteristic, complemented
95#15689017C2211yescharacteristic, complemented
96#15689017C2211yescharacteristic, complemented
97#15689016C2211yescharacteristic, complemented
98#15689016C2211yescharacteristic, complemented
99#15689016C2211yescharacteristic, complemented
100#15689015C2211yescharacteristic
101#15689015C2211yescharacteristic
102#15689014C2211yescharacteristic
103#15689014C2211yescharacteristic
104#15689014C2211yescharacteristic, complemented
105#15689013C2211yescharacteristic
106#15689013C2211yescharacteristic, complemented
107#15689013C2211yescharacteristic, complemented
108#15689012C2211yescharacteristic
109#15689012C2211yescharacteristic, complemented
110#15689012C2211yescharacteristic, complemented
111#15689012C2211yescharacteristic, complemented
112#15689012C2211yescharacteristic, complemented
113#15689011C2211yescharacteristic, complemented
114#15689011C2211yescharacteristic, complemented
115#15689011C2211yescharacteristic, complemented
116#15689011C2211yescharacteristic, complemented
117#15689008C2211yescharacteristic, complemented
118#15689007C2211yescharacteristic, complemented
119#15689004C2211yescharacteristic, complemented
120#15689004C2211yescharacteristic, complemented
121#15689004C2211yescharacteristic, complemented
122#15689003C2211yescharacteristic
123#15689002C2211yescharacteristic
124#15689002C2211yescharacteristic, complemented
125#15689001C2211yescharacteristic
126#15689001C2211yescharacteristic
127#15689001C2211yescharacteristic
128#15689001C2211yescharacteristic
129#15689001C2211yescharacteristic
130#15689001C2211yescharacteristic
131#15689001C2211yescharacteristic, complemented
132#15689001C2211yescharacteristic, complemented
133#15689001C2211yescharacteristic, complemented
134#15689000C2211yescharacteristic
135#15689000C2211yescharacteristic, complemented
136#15688999C2211yescharacteristic
137#15688999C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic, complemented
141#15688999C2211yescharacteristic, complemented
142#15688998C2211yescharacteristic, complemented
143#15688997C2211yescharacteristic
144#15688996C2211yescharacteristic, complemented
145#15688994C2211yescharacteristic
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic, complemented
148#15688994C2211yescharacteristic, complemented
149#15688994C2211yescharacteristic, complemented
150#15688994C2211yescharacteristic, complemented
151#15688991C2211yescharacteristic, complemented
152#15688990C2211yescharacteristic, complemented
153#15688988C2211yescharacteristic, complemented
154#15688987C2211yescharacteristic, complemented
155#15688985C2211yescharacteristic
156#15688985C2211yescharacteristic
157#15688985C2211yescharacteristic, complemented
158#15688985C2211yescharacteristic, complemented
159#15688982C2211yescharacteristic, complemented
160#15688981C2211yescharacteristic, complemented
161#15688981C2211yescharacteristic, complemented
162#15688980C2211yescharacteristic, complemented
163#15688978C2211yescharacteristic
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169#15688970C2211yescharacteristic, complemented
170#95×D47C2211yescharacteristic, complemented
171#95×D47C2211yescharacteristic, complemented
172C2×#126×C47C2211yescharacteristic, complemented
173C2×C22⋊Q8×C47C2211yescharacteristic, complemented
174C47×#400C2211yescharacteristic, complemented
175C47×#398C2211yescharacteristic, complemented
176C47×#396C2211yescharacteristic, complemented
177C47×#394C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#393C2211yescharacteristic, complemented
180C47×#391C2211yescharacteristic, complemented
181C47×#389C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#388C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic
186C47×#380C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
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×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209#13094013—42no—
210#13094009—42no—
211#13094009—42no—
212#13094006—42no—
213#13094000—42no—
214#13093999—42no—
215#13093997—42no—
216#13093994—24no—
217#13093994—42no—
218C4×D188—42no—
219C2×C4⋊Dic47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×Dic47⋊C4C2311yescharacteristic
225C2×Dic47⋊C4C2311yescharacteristic
226C2×Dic47⋊C4C2311yescharacteristic
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C4⋊C4×D47—42no—
237C2×C22⋊Dic47C2311yescharacteristic
238C2×C22⋊Dic47C2311yescharacteristic
239C2×C22⋊Dic47C2311yescharacteristic
240C2×C22⋊Dic47C2311yescharacteristic
241C2×C22⋊Dic47C2311yescharacteristic
242C2×C22⋊Dic47C2311yescharacteristic
243C2×C22⋊Dic47C2311yescharacteristic
244C2×C22⋊Dic47C2311yescharacteristic
245C2×C22⋊Dic47C2311yescharacteristic
246C2×(C2×D47)⋊C4—42no—
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
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
283C22⋊C4×D47—24no—
284C22⋊C4×D47—42no—
285C22⋊C4×D47—42no—
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C42×D47—42no—
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
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C22×Q8×C47C2311yescharacteristic
327C22×D4×C47C2311yescharacteristic
328C23×C4×C47C2311yescharacteristic
329#126×C47—42no—
330C22⋊Q8×C47—42no—
331C2×C4⋊C4×C47C2311yescharacteristic
332C2×C4⋊C4×C47C2311yescharacteristic
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C4⋊C4×C47C2311yescharacteristic
335C2×C4⋊C4×C47C2311yescharacteristic
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C22⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C42×C47C2311yescharacteristic
352C2×C42×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363C24×C47C2411yescharacteristic
364C24×C47C2411yescharacteristic
365C23×D47—22no—
366C23×D47—22no—
367C23×D47—22no—
368C23×D47—41no—
369C23×D47—41no—
370C23×D47—41no—
371C23×D47—41no—
372C23×D47—41no—
373C23×D47—41no—
374C23×D47—41no—
375C23×D47—41no—
376C23×D47—41no—
377C23×D47—41no—
378C23×D47#4114yes—
379C23×D47C2411yescharacteristic
380C23×D47C2411yescharacteristic
381C23×D47C2411yescharacteristic
382C23×D47C2411yescharacteristic
383C2×Q8×C47—22no—
384C2×Q8×C47—41no—
385C2×Q8×C47—41no—
386C2×D4×C47—22no—
387C2×D4×C47—41no—
388C2×D4×C47—41no—
389C22×C4×C47—41no—
390C22×C4×C47—41no—
391C22×C4×C47—41no—
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C2×C22⋊D47—22no—
406C2×C22⋊D47—22no—
407C2×C22⋊D47—22no—
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—41no—
411C2×C22⋊D47—41no—
412C2×C22⋊D47—41no—
413C2×C22⋊D47—41no—
414C2×C22⋊D47—41no—
415C2×C22⋊D47—41no—
416C2×C22⋊D47—41no—
417C22×Dic47—41no—
418C22×Dic47—41no—
419C22×Dic47—41no—
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432D4×D47—416no—
433C2×D188—22no—
434C2×D188—22no—
435C2×D188—22no—
436C2×D188—22no—
437C2×D188—22no—
438C2×D188—22no—
439C2×D188—22no—
440C2×D188—22no—
441C2×D188—41no—
442C2×D188—41no—
443C2×D188—41no—
444C2×D188—41no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—41no—
456C2×C4×D47—41no—
457C2×C4×D47—41no—
458C2×C4×D47—41no—
459C2×C4×D47—41no—
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—
469C4⋊C4×C47—22no—
470C4⋊C4×C47—41no—
471C4⋊C4×C47—41no—
472C4⋊C4×C47—41no—
473C4⋊C4×C47—41no—
474C4⋊C4×C47—41no—
475C4⋊C4×C47—41no—
476C4⋊C4×C47—41no—
477C4⋊C4×C47—41no—
478C22⋊C4×C47—22no—
479C22⋊C4×C47—22no—
480C22⋊C4×C47—22no—
481C22⋊C4×C47—22no—
482C22⋊C4×C47—41no—
483C22⋊C4×C47—41no—
484C22⋊C4×C47—41no—
485C22⋊C4×C47—41no—
486C22⋊C4×C47—41no—
487C22⋊C4×C47—41no—
488C22⋊C4×C47—41no—
489C42×C47—22no—
490C42×C47—41no—
491C22⋊Dic47—22no—
492C22⋊Dic47—41no—
493C22⋊Dic47—41no—
494C22⋊Dic47—41no—
495C22⋊Dic47—41no—
496C22⋊Dic47—41no—
497C22⋊Dic47—41no—
498C22⋊Dic47—41no—
499C22⋊Dic47—41no—
500(C2×D47)⋊C4—22no—
501(C2×D47)⋊C4—22no—
502(C2×D47)⋊C4—22no—
503(C2×D47)⋊C4—22no—
504(C2×D47)⋊C4—22no—
505(C2×D47)⋊C4—22no—
506(C2×D47)⋊C4—22no—
507(C2×D47)⋊C4—22no—
508(C2×D47)⋊C4—22no—
509(C2×D47)⋊C4—41no—
510(C2×D47)⋊C4—41no—
511(C2×D47)⋊C4—41no—
512(C2×D47)⋊C4—41no—
513(C2×D47)⋊C4—41no—
514(C2×D47)⋊C4—41no—
515(C2×D47)⋊C4—41no—
516(C2×D47)⋊C4—41no—
517(C2×D47)⋊C4—41no—
518(C2×D47)⋊C4—41no—
519(C2×D47)⋊C4—41no—
520(C2×D47)⋊C4—41no—
521(C2×D47)⋊C4—41no—
522(C2×D47)⋊C4—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536C4⋊Dic47—41no—
537C4⋊Dic47—41no—
538C4⋊Dic47—41no—
539C4⋊Dic47—41no—
540C4⋊Dic47—41no—
541Dic47⋊C4—41no—
542Dic47⋊C4—41no—
543Dic47⋊C4—41no—
544Dic47⋊C4—41no—
545Dic47⋊C4—41no—
546Dic47⋊C4—41no—
547Dic47⋊C4—41no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550Dic47⋊C4—41no—
551Dic47⋊C4—41no—
552Dic47⋊C4—41no—
553C4×Dic47—22no—
554C4×Dic47—41no—
555C4×Dic47—41no—
556C4×Dic47—41no—
557C4×Dic47—41no—
558C23×C47—21no—
559C23×C47—21no—
560C23×C47—21no—
561C23×C47—21no—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47C2×#4112yes—
572C23×C47C2511yescharacteristic
573C22×D47—21no—
574C22×D47—21no—
575C22×D47—21no—
576C22×D47—21no—
577C22×D47—21no—
578C22×D47—21no—
579C22×D47—21no—
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—28no—
584C22×D47—21no—
585C22×D47—21no—
586C22×D47—21no—
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—21no—
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—44no—
599C22×D47—44no—
600C22×D47—44no—
601C22×D47—82no—
602C22×D47—82no—
603C22×D47—82no—
604C22×D47—82no—
605C22×D47—82no—
606C22×D47—82no—
607C22×D47—82no—
608C22×D47—82no—
609C22×D47—82no—
610C22×D47—82no—
611C22×D47C2×#4112yes—
612C22×D47C2×#4112yes—
613C22×D47H(5,𝔽2)12yes—
614C22×D47H(5,𝔽2)12yes—
615Q8×C47—82no—
616D4×C47—44no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—82no—
656C2×C4×C47H(5,𝔽2)12yes—
657C22⋊D47—44no—
658C22⋊D47—44no—
659C22⋊D47—82no—
660C22⋊D47—82no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—82no—
698D188—44no—
699D188—44no—
700D188—82no—
701D188—82no—
702C4×D47—44no—
703C4×D47—44no—
704C4×D47—44no—
705C4×D47—44no—
706C4×D47—44no—
707C4×D47—82no—
708C4×D47—82no—
709C4×D47—82no—
710#36779—471nomaximal, Sylow
711C22×C47—22no—
712C22×C47—22no—
713C22×C47—22no—
714C22×C47—41no—
715C22×C47—41no—
716C22×C47—41no—
717C22×C47—41no—
718C22×C47—41no—
719C22×C47—41no—
720C22×C47—41no—
721C22×C47—41no—
722C22×C47—41no—
723C22×C47—41no—
724C22×C47—41no—
725C22×C47C22×#4111yescharacteristic
726C22×C47C2×H(5,𝔽2)11yescharacteristic
727C22×C47C2×H(5,𝔽2)11yescharacteristic
728C22×C47C2×H(5,𝔽2)11yescharacteristic
729C22×C47#58511yescharacteristic
730C22×C47#58511yescharacteristic
731C22×C47#58511yescharacteristic
732C2×D47—22no—
733C2×D47—22no—
734C2×D47—22no—
735C2×D47—22no—
736C2×D47—22no—
737C2×D47—22no—
738C2×D47—22no—
739C2×D47—22no—
740C2×D47—22no—
741C2×D47—41no—
742C2×D47—41no—
743C2×D47—41no—
744C2×D47—41no—
745C2×D47—41no—
746C2×D47—41no—
747C2×D47—41no—
748C2×D47—41no—
749C2×D47—41no—
750C2×D47—41no—
751C2×D47—41no—
752C2×D47—41no—
753C2×D47—41no—
754C2×D47—41no—
755C2×D47—41no—
756C2×D47—41no—
757C2×D47—41no—
758C2×D47—41no—
759C2×D47—88no—
760C2×D47—88no—
761C2×D47#53814yes—
762C4×C47—22no—
763C4×C47—41no—
764C4×C47—41no—
765C4×C47—41no—
766C4×C47—41no—
767C4×C47—41no—
768C4×C47—41no—
769C4×C47—41no—
770C4×C47—41no—
771C4×C47—41no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775Dic47—41no—
776Dic47—41no—
777Dic47—41no—
778Dic47—41no—
779Dic47—41no—
780Dic47—41no—
781Dic47—41no—
782Dic47—41no—
783Dic47—41no—
784Dic47—41no—
785Dic47—41no—
786Dic47—41no—
787#2852—471no—
788#2850—471no—
789#2781—471no—
790#2781—471no—
791#2778—471no—
792#2765—471no—
793#2764—471no—
794#2761—471no—
795#2756—471no—
796#2749—471no—
797#2743—471no—
798#2741—471no—
799#2735—471no—
800#2735—471no—
801#2730—471no—
802#2702D4711yescharacteristic, complemented
803#2685—471no—
804#2684—471no—
805#2623—471no—
806#2618—471no—
807#2510—471no—
808#2488—471no—
809#2444—471no—
810#2437—471no—
811#2425—471no—
812#2412—471no—
813#2410—471no—
814#2405—471no—
815#2321—471no—
816#2308—471no—
817C2×#388—471no—
818C2×C47—42no—
819C2×C47—81no—
820C2×C47C2×#53811yescharacteristic
821C2×C47#349111yescharacteristic
822C2×C47#350511yescharacteristic
823C2×C47#353411yescharacteristic
824C2×C47#354211yescharacteristic
825C2×C47#354511yescharacteristic
826C2×C47#356011yescharacteristic
827D47—24no—
828D47—42no—
829D47—81no—
830D47—81no—
831C23×D4—471no—
832C2×#126C2×D4711yescharacteristic, complemented
833C2×#124—471no—
834C2×#123—471no—
835C2×#123—471no—
836C2×#123—471no—
837C2×C22⋊Q8—471no—
838C2×C22⋊Q8C2×D4711yescharacteristic, complemented
839C2×#121—471no—
840C2×#121—471no—
841C2×#120—471no—
842C2×#120—471no—
843C2×C4×D4—471no—
844C22×C4⋊C4—471no—
845C22×C22⋊C4—471no—
846C22×C22⋊C4—471no—
847C22×C22⋊C4—471no—
848C22×C22⋊C4—471no—
849C22×C42—471no—
850#401—471no—
851#400—471no—
852#400—471no—
853#400—471no—
854#400—471no—
855#400—471no—
856#400C2×D4711yescharacteristic, complemented
857#399—471no—
858#399—471no—
859#399—471no—
860#398—471no—
861#398—471no—
862#398—471no—
863#398—471no—
864#398C2×D4711yescharacteristic, complemented
865#397—471no—
866#397—471no—
867#397—471no—
868#397—471no—
869#397—471no—
870#397—471no—
871#397—471no—
872#397—471no—
873#397—471no—
874#397—471no—
875#396—471no—
876#396—471no—
877#396—471no—
878#396—471no—
879#396—471no—
880#396—471no—
881#396C2×D4711yescharacteristic, complemented
882#394—471no—
883#394—471no—
884#394—471no—
885#394—471no—
886#394—471no—
887#394—471no—
888#394—471no—
889#394—471no—
890#394—471no—
891#394—471no—
892#394C2×D4711yescharacteristic
893#394C2×D4711yescharacteristic
894#393—471no—
895#393C2×D4711yescharacteristic, complemented
896#392—471no—
897#392—471no—
898#391—471no—
899#391C2×D4711yescharacteristic, complemented
900#390—471no—
901#390—471no—
902#390—471no—
903#389C2×D4711yescharacteristic, complemented
904#388—471no—
905#388—471no—
906#388—471no—
907#388—471no—
908#388—471no—
909#388—471no—
910#388—471no—
911#388—471no—
912#388—471no—
913#388—471no—
914#388—471no—
915#388—471no—
916#388—471no—
917#388—471no—
918#388—471no—
919#388—471no—
920#388—471no—
921#388—471no—
922#388—471no—
923#388—471no—
924#388—471no—
925#388—471no—
926#388C2×D4711yescharacteristic, complemented
927#388C2×D4711yescharacteristic, complemented
928#388C2×D4711yescharacteristic, complemented
929#387—471no—
930#387—471no—
931#387—471no—
932#387—471no—
933#387—471no—
934#386—471no—
935#386—471no—
936#386—471no—
937#386—471no—
938#386—471no—
939#386—471no—
940#386—471no—
941#386—471no—
942#386—471no—
943#386—471no—
944#386—471no—
945#386—471no—
946#386—471no—
947#386—471no—
948#386—471no—
949#386—471no—
950#386—471no—
951#386—471no—
952#386—471no—
953#386—471no—
954#386C2×D4711yescharacteristic
955#385—471no—
956#385—471no—
957#385—471no—
958#385—471no—
959#385—471no—
960#385—471no—
961#385—471no—
962#385—471no—
963#385—471no—
964#383—471no—
965#383—471no—
966#382—471no—
967#382—471no—
968#381—471no—
969#381—471no—
970#381—471no—
971#381—471no—
972#380—471no—
973#380—471no—
974#380—471no—
975#380—471no—
976#380C2×D4711yescharacteristic, complemented
977#379—471no—
978#379—471no—
979#379—471no—
980#379—471no—
981#379—471no—
982#379—471no—
983C4×C22⋊C4—471no—
984C2×#95—471no—
985C2×#95—471no—
986C47#3677911yescharacteristic, complemented, Sylow
987C25—471no—
988C25—471no—
989C22×Q8C22×D4711yescharacteristic
990C22×D4—471no—
991C22×D4—471no—
992C22×D4—471no—
993C22×D4—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—471no—
997C22×D4—471no—
998C22×D4—944no—
999C22×D4—1882no—
1000C22×D4—1882no—
1001C22×D4C22×D4711yescharacteristic
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4—471no—
1010C23×C4—471no—
1011C23×C4C22×D4711yescharacteristic
1012#126—42no—
1013#124—1882no—
1014#123—1882no—
1015#123—1882no—
1016#123—1882no—
1017C22⋊Q8—42no—
1018C22⋊Q8—1882no—
1019#121—1882no—
1020#121—1882no—
1021#120—944no—
1022#120—1882no—
1023C4×D4—1882no—
1024C2×C4⋊C4—471no—
1025C2×C4⋊C4—471no—
1026C2×C4⋊C4—471no—
1027C2×C4⋊C4—471no—
1028C2×C4⋊C4—471no—
1029C2×C4⋊C4—471no—
1030C2×C4⋊C4—471no—
1031C2×C4⋊C4—471no—
1032C2×C4⋊C4—471no—
1033C2×C4⋊C4—471no—
1034C2×C4⋊C4—471no—
1035C2×C4⋊C4—471no—
1036C2×C4⋊C4—471no—
1037C2×C4⋊C4—471no—
1038C2×C4⋊C4—471no—
1039C2×C4⋊C4—471no—
1040C2×C4⋊C4—471no—
1041C2×C4⋊C4—1882no—
1042C2×C4⋊C4C22×D4711yescharacteristic
1043C2×C4⋊C4C22×D4711yescharacteristic
1044C2×C4⋊C4C22×D4711yescharacteristic
1045C2×C4⋊C4C22×D4711yescharacteristic
1046C2×C4⋊C4C22×D4711yescharacteristic
1047C2×C4⋊C4C22×D4711yescharacteristic
1048C2×C4⋊C4C22×D4711yescharacteristic
1049C2×C4⋊C4C22×D4711yescharacteristic
1050C2×C4⋊C4C22×D4711yescharacteristic
1051C2×C22⋊C4—471no—
1052C2×C22⋊C4—471no—
1053C2×C22⋊C4—471no—
1054C2×C22⋊C4—471no—
1055C2×C22⋊C4—471no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4—471no—
1058C2×C22⋊C4—471no—
1059C2×C22⋊C4—471no—
1060C2×C22⋊C4—471no—
1061C2×C22⋊C4—471no—
1062C2×C22⋊C4—471no—
1063C2×C22⋊C4—471no—
1064C2×C22⋊C4—471no—
1065C2×C22⋊C4—471no—
1066C2×C22⋊C4—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—471no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
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—944no—
1097C2×C22⋊C4—1882no—
1098C2×C22⋊C4—1882no—
1099C2×C22⋊C4—1882no—
1100C2×C22⋊C4C22×D4711yescharacteristic
1101C2×C22⋊C4C22×D4711yescharacteristic
1102C2×C22⋊C4C22×D4711yescharacteristic
1103C2×C22⋊C4C22×D4711yescharacteristic
1104C2×C22⋊C4C22×D4711yescharacteristic
1105C2×C22⋊C4C22×D4711yescharacteristic
1106C2×C22⋊C4C22×D4711yescharacteristic
1107C2×C22⋊C4C22×D4711yescharacteristic
1108C2×C22⋊C4C22×D4711yescharacteristic
1109C2×C22⋊C4C22×D4711yescharacteristic
1110C2×C22⋊C4C22×D4711yescharacteristic
1111C2×C42—471no—
1112C2×C42—471no—
1113C2×C42—471no—
1114C2×C42—471no—
1115C2×C42—471no—
1116C2×C42—1882no—
1117C2×C42C22×D4711yescharacteristic
1118C2×C42C22×D4711yescharacteristic
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126#95—471no—
1127#95—471no—
1128#95—471no—
1129#95—471no—
1130#95—471no—
1131#95—471no—
1132#95—471no—
1133#95—471no—
1134#95—471no—
1135#95—471no—
1136#95—471no—
1137#95—471no—
1138#95—471no—
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156#95C22×D4711yescharacteristic
1157#95C22×D4711yescharacteristic
1158#95C22×D4711yescharacteristic
1159#95C22×D4711yescharacteristic
1160#95C22×D4711yescharacteristic
1161#95C22×D4711yescharacteristic
1162#95C22×D4711yescharacteristic
1163C24—471no—
1164C24—471no—
1165C24—474no—
1166C24—471no—
1167C24—471no—
1168C24—942no—
1169C24—942no—
1170C24—942no—
1171C24—1881no—
1172C24—1881no—
1173C24—1881no—
1174C24—1881no—
1175C24—1881no—
1176C24—1881no—
1177C24—1881no—
1178C24—1881no—
1179C24—1881no—
1180C24—1881no—
1181C24C23×D4711yescharacteristic
1182C24C23×D4711yescharacteristic
1183C2×Q8—22no—
1184C2×Q8—41no—
1185C2×Q8—41no—
1186C2×D4—22no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—942no—
1190C2×D4—942no—
1191C2×D4—942no—
1192C2×D4—942no—
1193C2×D4—942no—
1194C2×D4—942no—
1195C2×D4—942no—
1196C2×D4—942no—
1197C2×D4—942no—
1198C2×D4—942no—
1199C2×D4—942no—
1200C2×D4—942no—
1201C2×D4—942no—
1202C2×D4—1881no—
1203C2×D4—1881no—
1204C2×D4—1881no—
1205C2×D4—1881no—
1206C2×D4—1881no—
1207C2×D4—1881no—
1208C2×D4—1881no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—18816no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—471no—
1218C22×C4—471no—
1219C22×C4—471no—
1220C22×C4—471no—
1221C22×C4—471no—
1222C22×C4—471no—
1223C22×C4—471no—
1224C22×C4—471no—
1225C22×C4—471no—
1226C22×C4—471no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—942no—
1230C22×C4—942no—
1231C22×C4—942no—
1232C22×C4—942no—
1233C22×C4—942no—
1234C22×C4—942no—
1235C22×C4—942no—
1236C22×C4—942no—
1237C22×C4—942no—
1238C22×C4—942no—
1239C22×C4—1881no—
1240C22×C4—1881no—
1241C22×C4—1881no—
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×C4C23×D4711yescharacteristic
1257C22×C4C23×D4711yescharacteristic
1258C22×C4C23×D4711yescharacteristic
1259C22×C4C23×D4711yescharacteristic
1260C22×C4C23×D4711yescharacteristic
1261C22×C4C23×D4711yescharacteristic
1262C22×C4C23×D4711yescharacteristic
1263C22×C4C23×D4711yescharacteristic
1264C22×C4C23×D4711yescharacteristic
1265C22×C4C23×D4711yescharacteristic
1266C22×C4C23×D4711yescharacteristic
1267C22×C4C23×D4711yescharacteristic
1268C22×C4C23×D4711yescharacteristic
1269C4⋊C4—22no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—41no—
1277C4⋊C4—41no—
1278C4⋊C4—1881no—
1279C4⋊C4—1881no—
1280C4⋊C4—1881no—
1281C4⋊C4—1881no—
1282C4⋊C4—1881no—
1283C4⋊C4—1881no—
1284C4⋊C4—1881no—
1285C4⋊C4—1881no—
1286C4⋊C4—1881no—
1287C4⋊C4—1881no—
1288C4⋊C4—1881no—
1289C4⋊C4—1881no—
1290C4⋊C4—1881no—
1291C4⋊C4—1881no—
1292C4⋊C4—1881no—
1293C4⋊C4—1881no—
1294C4⋊C4—1881no—
1295C22⋊C4—22no—
1296C22⋊C4—22no—
1297C22⋊C4—22no—
1298C22⋊C4—22no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—942no—
1307C22⋊C4—942no—
1308C22⋊C4—942no—
1309C22⋊C4—942no—
1310C22⋊C4—942no—
1311C22⋊C4—942no—
1312C22⋊C4—942no—
1313C22⋊C4—942no—
1314C22⋊C4—942no—
1315C22⋊C4—942no—
1316C22⋊C4—1881no—
1317C22⋊C4—1881no—
1318C22⋊C4—1881no—
1319C22⋊C4—1881no—
1320C22⋊C4—1881no—
1321C22⋊C4—1881no—
1322C22⋊C4—1881no—
1323C22⋊C4—1881no—
1324C22⋊C4—1881no—
1325C22⋊C4—1881no—
1326C22⋊C4—1881no—
1327C22⋊C4—1881no—
1328C22⋊C4—1881no—
1329C22⋊C4—1881no—
1330C22⋊C4—1881no—
1331C22⋊C4—1881no—
1332C22⋊C4—1881no—
1333C22⋊C4—1881no—
1334C22⋊C4—1881no—
1335C22⋊C4—1881no—
1336C22⋊C4—1881no—
1337C22⋊C4—1881no—
1338C22⋊C4—1881no—
1339C22⋊C4—1881no—
1340C22⋊C4—1881no—
1341C22⋊C4—1881no—
1342C22⋊C4—1881no—
1343C22⋊C4—1881no—
1344C22⋊C4—1881no—
1345C22⋊C4—1881no—
1346C22⋊C4—1881no—
1347C22⋊C4—1881no—
1348C22⋊C4—1881no—
1349C22⋊C4—1881no—
1350C22⋊C4—1881no—
1351C42—22no—
1352C42—41no—
1353C42—942no—
1354C42—1881no—
1355C42—1881no—
1356C42—1881no—
1357C42—1881no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—472no—
1372C23—472no—
1373C23—472no—
1374C23—472no—
1375C23—948no—
1376C23—941no—
1377C23—941no—
1378C23—941no—
1379C23—941no—
1380C23—941no—
1381C23—941no—
1382C23—941no—
1383C23—941no—
1384C23—941no—
1385C23—941no—
1386C23—941no—
1387C23—941no—
1388C23—941no—
1389C23—941no—
1390C23—941no—
1391C23—941no—
1392C23—941no—
1393C23—941no—
1394C23—941no—
1395C23—941no—
1396C23—941no—
1397C23—941no—
1398C23—941no—
1399C23—941no—
1400C23—3762no—
1401C23—3762no—
1402C23—3762no—
1403C23—3762no—
1404C23—3762no—
1405C23—3762no—
1406C23—3762no—
1407C23—3762no—
1408C23—3762no—
1409C23—3762no—
1410C23—1884no—
1411C23—1884no—
1412C23—1884no—
1413C23#41×D4712yes—
1414C23C24×D4711yescharacteristic
1415Q8—82no—
1416D4—44no—
1417D4—3762no—
1418D4—3762no—
1419D4—3762no—
1420D4—3762no—
1421D4—1884no—
1422D4—1884no—
1423D4—1884no—
1424D4—1884no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—82no—
1464C2×C4—941no—
1465C2×C4—941no—
1466C2×C4—941no—
1467C2×C4—941no—
1468C2×C4—941no—
1469C2×C4—941no—
1470C2×C4—941no—
1471C2×C4—941no—
1472C2×C4—941no—
1473C2×C4—941no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—3762no—
1501C2×C4—3762no—
1502C2×C4—3762no—
1503C2×C4—3762no—
1504C2×C4—1884no—
1505C2×C4—1884no—
1506C2×C4—1884no—
1507C2×C4—1884no—
1508C2×C4—1884no—
1509C2×C4#1309406912yes—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—474no—
1525C22—942no—
1526C22—942no—
1527C22—942no—
1528C22—942no—
1529C22—942no—
1530C22—942no—
1531C22—942no—
1532C22—942no—
1533C22—942no—
1534C22—3768no—
1535C22—3768no—
1536C22—1881no—
1537C22—1881no—
1538C22—1881no—
1539C22—1881no—
1540C22—1881no—
1541C22—1881no—
1542C22—1881no—
1543C22—1881no—
1544C22—1881no—
1545C22—1881no—
1546C22—1881no—
1547C22—1881no—
1548C22—1881no—
1549C22—1881no—
1550C22—1881no—
1551C22—1881no—
1552C22—1881no—
1553C22—1881no—
1554C22C2×#41×D4711yescharacteristic
1555C22H(5,𝔽2)×D4711yescharacteristic
1556C22H(5,𝔽2)×D4711yescharacteristic
1557C22C2×#1309406911yescharacteristic
1558C22#1568995911yescharacteristic
1559C22#1568996011yescharacteristic
1560C22#1568996011yescharacteristic
1561C4—22no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—1881no—
1575C4—1881no—
1576C4—1881no—
1577C4—1881no—
1578C4—1881no—
1579C4—1881no—
1580C4—1881no—
1581C4—1881no—
1582C4—1881no—
1583C4—1881no—
1584C4—1881no—
1585C4—1881no—
1586C2—42no—
1587C2—81no—
1588C2—944no—
1589C2—3761no—
1590C2—3761no—
1591C2—1882no—
1592C2#538×D4711yescharacteristic
1593C2#2025708311yescharacteristic
1594C2#2025722411yescharacteristic
1595C2#2025757011yescharacteristic
1596C2#2025769211yescharacteristic
1597C2#2025773611yescharacteristic
1598C2#2025793111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2702C2
prime radical#20246757C2
hypercenter#2702D47
hypocenterC47#36779
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2702

Complements

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

NH ≅ G/Ntype
1. #20251700C2semidirect
2. #20251692C2semidirect
3. #20251053C2semidirect
4. #20251052C2semidirect
5. #20251009C2semidirect
6. #20250826C2semidirect
7. #20250808C2semidirect
8. #20250768C2semidirect
9. #20250703C2semidirect
10. #20250606C2semidirect
11. #20250520C2semidirect
12. #20250500C2semidirect
13. #20250431C2semidirect
14. #20250424C2semidirect
15. #20250379C2semidirect
16. #20249773C2semidirect
17. #20249771C2semidirect
18. #20249169C2semidirect
19. #20249135C2semidirect
20. #20247949C2semidirect
21. #20247707C2semidirect
22. #20247145C2semidirect
23. #20247051C2semidirect
24. #20246946C2semidirect
25. #20246781C2semidirect
27. #20246710C2semidirect
28. #20246050C2semidirect
29. #20245962C2semidirect
30. #388×D47C2semidirect
31. C47×#2702C2semidirect
33. C2×#13094013C22semidirect
35. C2×#13094009C22semidirect
37. C2×#13094000C22semidirect
42. C2×C4×D188C22semidirect
43. C2×C4⋊C4×D47C22semidirect
48. C2×C42×D47C22semidirect
49. C47⋊#401C22semidirect
50. #15689065C22semidirect
51. #15689064C22semidirect
52. #15689064C22semidirect
53. #15689063C22semidirect
54. #15689063C22semidirect
56. #15689058C22semidirect
57. #15689058C22semidirect
58. #15689057C22semidirect
59. #15689056C22semidirect
60. #15689056C22semidirect
61. #15689053C22semidirect
63. #15689052C22semidirect
64. #15689051C22semidirect
65. #15689050C22semidirect
66. #15689050C22semidirect
68. #15689049C22semidirect
69. #15689049C22semidirect
70. #15689049C22semidirect
71. #15689048C22semidirect
72. #15689046C22semidirect
75. #15689045C22semidirect
76. #15689045C22semidirect
77. #15689045C22semidirect
80. #15689040C22semidirect
82. #15689039C22semidirect
85. #15689038C22semidirect
86. #15689038C22semidirect
91. #15689030C22semidirect
92. #15689025C22semidirect
94. #15689023C22semidirect
95. #15689017C22semidirect
96. #15689017C22semidirect
97. #15689016C22semidirect
98. #15689016C22semidirect
99. #15689016C22semidirect
104. #15689014C22semidirect
106. #15689013C22semidirect
107. #15689013C22semidirect
109. #15689012C22semidirect
110. #15689012C22semidirect
111. #15689012C22semidirect
112. #15689012C22semidirect
113. #15689011C22semidirect
114. #15689011C22semidirect
115. #15689011C22semidirect
116. #15689011C22semidirect
117. #15689008C22semidirect
118. #15689007C22semidirect
119. #15689004C22semidirect
120. #15689004C22semidirect
121. #15689004C22semidirect
124. #15689002C22semidirect
131. #15689001C22semidirect
132. #15689001C22semidirect
133. #15689001C22semidirect
135. #15689000C22semidirect
140. #15688999C22semidirect
141. #15688999C22semidirect
142. #15688998C22semidirect
144. #15688996C22semidirect
147. #15688994C22semidirect
148. #15688994C22semidirect
149. #15688994C22semidirect
150. #15688994C22semidirect
151. #15688991C22semidirect
152. #15688990C22semidirect
153. #15688988C22semidirect
154. #15688987C22semidirect
157. #15688985C22semidirect
158. #15688985C22semidirect
159. #15688982C22semidirect
160. #15688981C22semidirect
161. #15688981C22semidirect
162. #15688980C22semidirect
169. #15688970C22semidirect
170. #95×D47C22semidirect
171. #95×D47C22semidirect
172. C2×#126×C47C22semidirect
173. C2×C22⋊Q8×C47C22semidirect
174. C47×#400C22semidirect
175. C47×#398C22semidirect
176. C47×#396C22semidirect
179. C47×#393C22semidirect
180. C47×#391C22semidirect
181. C47×#389C22semidirect
182. C47×#388C22semidirect
183. C47×#388C22semidirect
184. C47×#388C22semidirect
186. C47×#380C22semidirect
802. #2702D47semidirect
832. C2×#126C2×D47semidirect
838. C2×C22⋊Q8C2×D47semidirect
856. #400C2×D47semidirect
864. #398C2×D47semidirect
881. #396C2×D47semidirect
895. #393C2×D47semidirect
899. #391C2×D47semidirect
903. #389C2×D47semidirect
926. #388C2×D47semidirect
927. #388C2×D47semidirect
928. #388C2×D47semidirect
976. #380C2×D47semidirect
986. C47#36779semidirect

Maximal subgroups

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

subgroupindex
#202517002
#202516922
#202510532
#202510522
#202510092
#202508262
#202508082
#202507682
#202507032
#202506062
#202505202
#202505002
#202504312
#202504242
#202503792
#202497732
#202497712
#202491692
#202491352
#202479492
#202477072
#202471452
#202470512
#202469462
#202467812
#202467572
#202467102
#202460502
#202459622
#388×D472
C47×#27022
#3677947