Finite Group Databasebeta

← #26423546

Subgroups — #26423546

Order 12032.

1954 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251683C211yesmaximal, characteristic, complemented
2#20251667C211yesmaximal, characteristic, complemented
3#20250579C211yesmaximal, characteristic, complemented
4#20250571C211yesmaximal, characteristic, complemented
5#20250537C211yesmaximal, characteristic, complemented
6#20250522C211yesmaximal, characteristic, complemented
7#20250499C211yesmaximal, characteristic, complemented
8#20250294C211yesmaximal, characteristic, complemented
9#20250082C211yesmaximal, characteristic, complemented
10#20250055C211yesmaximal, characteristic, complemented
11#20250008C211yesmaximal, characteristic, complemented
12#20249977C211yesmaximal, characteristic, complemented
13#20249785C211yesmaximal, characteristic, complemented
14#20249781C211yesmaximal, characteristic, complemented
15#20249708C211yesmaximal, characteristic, complemented
16#20249619C211yesmaximal, characteristic, complemented
17#20249594C211yesmaximal, characteristic, complemented
18#20249587C211yesmaximal, characteristic, complemented
19#20249523C211yesmaximal, characteristic, complemented
20#20248915C211yesmaximal, characteristic, complemented
21#20248696C211yesmaximal, characteristic, complemented
22#20248512C211yesmaximal, characteristic, complemented
23#20248510C211yesmaximal, characteristic, complemented
24#20247615C211yesmaximal, characteristic, complemented
25#20247578C211yesmaximal, characteristic, complemented
26#20247494C211yesmaximal, characteristic, complemented
27#20247485C211yesmaximal, characteristic, complemented
28#20246177C211yesmaximal, characteristic, complemented
29#20246149C211yesmaximal, characteristic, complemented
30#20245770C211yesmaximal, characteristic, complemented
31C47×#2691C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094017C2211yescharacteristic
34C2×#13094017C2211yescharacteristic
35C2×#13094009C2211yescharacteristic
36C2×#13094009C2211yescharacteristic
37C2×#13094008C2211yescharacteristic
38C2×#13094006C2211yescharacteristic, complemented
39C2×#13093998C2211yescharacteristic
40C2×#13093996C2211yescharacteristic
41C2×#13093995C2211yescharacteristic
42C2×#13093995C2211yescharacteristic
43C2×#13093995C2211yescharacteristic
44C2×#13093994C2211yescharacteristic
45C2×#13093992C2211yescharacteristic
46C2×#13093992C2211yescharacteristic
47C2×#13093982C2211yescharacteristic
48C2×#13093982C2211yescharacteristic
49C47⋊#401C2211yescharacteristic, complemented
50#15689065C2211yescharacteristic, complemented
51#15689064C2211yescharacteristic, complemented
52#15689062C2211yescharacteristic, complemented
53#15689061C2211yescharacteristic, complemented
54#15689060C2211yescharacteristic
55#15689059C2211yescharacteristic, complemented
56#15689058C2211yescharacteristic
57#15689058C2211yescharacteristic
58#15689058C2211yescharacteristic, complemented
59#15689056C2211yescharacteristic, complemented
60#15689055C2211yescharacteristic, complemented
61#15689055C2211yescharacteristic, complemented
62#15689055C2211yescharacteristic, complemented
63#15689053C2211yescharacteristic, complemented
64#15689053C2211yescharacteristic, complemented
65#15689051C2211yescharacteristic, complemented
66#15689050C2211yescharacteristic
67#15689050C2211yescharacteristic, complemented
68#15689048C2211yescharacteristic
69#15689048C2211yescharacteristic
70#15689047C2211yescharacteristic
71#15689046C2211yescharacteristic, complemented
72#15689045C2211yescharacteristic
73#15689045C2211yescharacteristic
74#15689040C2211yescharacteristic
75#15689039C2211yescharacteristic
76#15689039C2211yescharacteristic
77#15689039C2211yescharacteristic
78#15689039C2211yescharacteristic
79#15689039C2211yescharacteristic
80#15689039C2211yescharacteristic, complemented
81#15689039C2211yescharacteristic, complemented
82#15689038C2211yescharacteristic
83#15689038C2211yescharacteristic
84#15689038C2211yescharacteristic, complemented
85#15689037C2211yescharacteristic
86#15689037C2211yescharacteristic
87#15689032C2211yescharacteristic
88#15689032C2211yescharacteristic
89#15689032C2211yescharacteristic
90#15689031C2211yescharacteristic, complemented
91#15689025C2211yescharacteristic
92#15689023C2211yescharacteristic
93#15689023C2211yescharacteristic
94#15689023C2211yescharacteristic
95#15689023C2211yescharacteristic
96#15689023C2211yescharacteristic, complemented
97#15689023C2211yescharacteristic, complemented
98#15689022C2211yescharacteristic, complemented
99#15689022C2211yescharacteristic, complemented
100#15689022C2211yescharacteristic, complemented
101#15689019C2211yescharacteristic, complemented
102#15689017C2211yescharacteristic
103#15689017C2211yescharacteristic, complemented
104#15689016C2211yescharacteristic, complemented
105#15689016C2211yescharacteristic, complemented
106#15689015C2211yescharacteristic
107#15689015C2211yescharacteristic, complemented
108#15689015C2211yescharacteristic, complemented
109#15689014C2211yescharacteristic
110#15689013C2211yescharacteristic
111#15689013C2211yescharacteristic, complemented
112#15689013C2211yescharacteristic, complemented
113#15689012C2211yescharacteristic
114#15689012C2211yescharacteristic
115#15689011C2211yescharacteristic
116#15689011C2211yescharacteristic, complemented
117#15689011C2211yescharacteristic, complemented
118#15689011C2211yescharacteristic, complemented
119#15689010C2211yescharacteristic, complemented
120#15689009C2211yescharacteristic, complemented
121#15689009C2211yescharacteristic, complemented
122#15689008C2211yescharacteristic, complemented
123#15689008C2211yescharacteristic, complemented
124#15689007C2211yescharacteristic, complemented
125#15689006C2211yescharacteristic, complemented
126#15689005C2211yescharacteristic, complemented
127#15689003C2211yescharacteristic
128#15689003C2211yescharacteristic
129#15689003C2211yescharacteristic, complemented
130#15689002C2211yescharacteristic
131#15689002C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689000C2211yescharacteristic
137#15689000C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688998C2211yescharacteristic, complemented
143#15688998C2211yescharacteristic, complemented
144#15688995C2211yescharacteristic
145#15688994C2211yescharacteristic
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic, complemented
148#15688994C2211yescharacteristic, complemented
149#15688987C2211yescharacteristic, complemented
150#15688986C2211yescharacteristic, complemented
151#15688985C2211yescharacteristic
152#15688985C2211yescharacteristic
153#15688985C2211yescharacteristic
154#15688985C2211yescharacteristic
155#15688983C2211yescharacteristic
156#15688983C2211yescharacteristic
157#15688980C2211yescharacteristic
158#15688980C2211yescharacteristic
159#15688980C2211yescharacteristic
160#15688980C2211yescharacteristic
161#15688978C2211yescharacteristic
162#15688978C2211yescharacteristic
163#15688978C2211yescharacteristic
164C4×Dic47⋊C4C2211yescharacteristic, complemented
165C22⋊C4×Dic47C2211yescharacteristic
166C22⋊C4×Dic47C2211yescharacteristic
167C22⋊C4×Dic47C2211yescharacteristic, complemented
168C4×C22⋊Dic47C2211yescharacteristic, complemented
169#15688970C2211yescharacteristic
170#15688970C2211yescharacteristic
171#15688970C2211yescharacteristic, complemented
172C2×#126×C47C2211yescharacteristic, complemented
173C2×#121×C47C2211yescharacteristic
174C47×#398C2211yescharacteristic, complemented
175C47×#397C2211yescharacteristic, complemented
176C47×#396C2211yescharacteristic, complemented
177C47×#394C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#394C2211yescharacteristic, complemented
180C47×#390C2211yescharacteristic
181C47×#387C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic
185C47×#385C2211yescharacteristic, complemented
186C47×#380C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×D188C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C22×C4×D47—24no—
200C22×C4×D47—42no—
201C22×C4×D47—42no—
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207#13094017—42no—
208#13094017—42no—
209#13094009—24no—
210#13094009—42no—
211#13094008—42no—
212#13094006—42no—
213#13093998—42no—
214#13093996—42no—
215#13093995—24no—
216#13093995—42no—
217#13093995—42no—
218#13093994—42no—
219#13093992—42no—
220#13093992—42no—
221#13093982—42no—
222#13093982—42no—
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
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×D4×C47C2311yescharacteristic
327C22×D4×C47C2311yescharacteristic
328C22×D4×C47C2311yescharacteristic
329C23×C4×C47C2311yescharacteristic
330C23×C4×C47C2311yescharacteristic
331#126×C47—42no—
332#121×C47—42no—
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×C4⋊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×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C42×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
365C24×C47C2411yescharacteristic
366C23×D47—22no—
367C23×D47—22no—
368C23×D47—22no—
369C23×D47—41no—
370C23×D47—41no—
371C23×D47—41no—
372C23×D47—41no—
373C23×D47C2411yescharacteristic
374C23×D47C2411yescharacteristic
375C23×D47C2411yescharacteristic
376C2×D4×C47—22no—
377C2×D4×C47—22no—
378C2×D4×C47—22no—
379C2×D4×C47—41no—
380C2×D4×C47—41no—
381C2×D4×C47—41no—
382C2×D4×C47—41no—
383C2×D4×C47—41no—
384C2×D4×C47—41no—
385C22×C4×C47—22no—
386C22×C4×C47—22no—
387C22×C4×C47—41no—
388C22×C4×C47—41no—
389C22×C4×C47—41no—
390C22×C4×C47—41no—
391C22×C4×C47C2411yescharacteristic
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
403C2×C22⋊D47—22no—
404C2×C22⋊D47—22no—
405C2×C22⋊D47—22no—
406C2×C22⋊D47—22no—
407C2×C22⋊D47—22no—
408C2×C22⋊D47—41no—
409C2×C22⋊D47—41no—
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—
417C2×C22⋊D47—41no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47—41no—
420C2×C22⋊D47—41no—
421C2×C22⋊D47—41no—
422C2×C22⋊D47—41no—
423C2×C22⋊D47—41no—
424C22×Dic47—22no—
425C22×Dic47—41no—
426C22×Dic47—41no—
427C22×Dic47—41no—
428C22×Dic47—41no—
429C22×Dic47—41no—
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C2×D188—22no—
444C2×D188—22no—
445C2×D188—41no—
446C2×D188—41no—
447C2×D188—41no—
448C2×D188—41no—
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—22no—
456C2×C4×D47—416no—
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#4114yes—
465C4⋊C4×C47—22no—
466C4⋊C4×C47—22no—
467C4⋊C4×C47—22no—
468C4⋊C4×C47—41no—
469C4⋊C4×C47—41no—
470C4⋊C4×C47—41no—
471C4⋊C4×C47—41no—
472C4⋊C4×C47—41no—
473C22⋊C4×C47—22no—
474C22⋊C4×C47—22no—
475C22⋊C4×C47—22no—
476C22⋊C4×C47—41no—
477C22⋊C4×C47—41no—
478C22⋊C4×C47—41no—
479C22⋊C4×C47—41no—
480C22⋊C4×C47—41no—
481C22⋊C4×C47—41no—
482C22⋊C4×C47—41no—
483C22⋊C4×C47—41no—
484C22⋊C4×C47—41no—
485C22⋊C4×C47—41no—
486C42×C47—41no—
487C22⋊Dic47—22no—
488C22⋊Dic47—22no—
489C22⋊Dic47—22no—
490C22⋊Dic47—22no—
491C22⋊Dic47—22no—
492C22⋊Dic47—22no—
493C22⋊Dic47—41no—
494C22⋊Dic47—41no—
495C22⋊Dic47—41no—
496C22⋊Dic47—41no—
497C22⋊Dic47—41no—
498C22⋊Dic47—41no—
499C22⋊Dic47—41no—
500C22⋊Dic47—41no—
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—41no—
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—
528C4⋊Dic47—22no—
529C4⋊Dic47—22no—
530C4⋊Dic47—41no—
531C4⋊Dic47—41no—
532C4⋊Dic47—41no—
533C4⋊Dic47—41no—
534C4⋊Dic47—41no—
535C4⋊Dic47—41no—
536C4⋊Dic47—41no—
537C4⋊Dic47—41no—
538C4⋊Dic47—41no—
539Dic47⋊C4—22no—
540Dic47⋊C4—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—
550C4×Dic47—41no—
551C4×Dic47—41no—
552C4×Dic47—41no—
553C4×Dic47—41no—
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×C47—21no—
572C23×C47—21no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47H(5,𝔽2)12yes—
579C23×C47C2511yescharacteristic
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
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—21no—
599C22×D47—44no—
600C22×D47—44no—
601C22×D47—44no—
602C22×D47—44no—
603C22×D47—44no—
604C22×D47—44no—
605C22×D47—44no—
606C22×D47C2×#4112yes—
607C22×D47H(5,𝔽2)12yes—
608D4×C47—82no—
609D4×C47—82no—
610D4×C47—82no—
611C2×C4×C47—21no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—21no—
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—44no—
646C2×C4×C47—82no—
647C2×C4×C47C2×#4112yes—
648C2×C4×C47H(5,𝔽2)12yes—
649C22⋊D47—82no—
650C22⋊D47—82no—
651C22⋊D47—82no—
652C22⋊D47—82no—
653C22⋊D47—82no—
654C22⋊D47—82no—
655C22⋊D47—82no—
656C2×Dic47—21no—
657C2×Dic47—21no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
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—44no—
695C2×Dic47—82no—
696C2×Dic47C2×#4112yes—
697D188—82no—
698D188—82no—
699C4×D47—28no—
700C4×D47—44no—
701C4×D47—44no—
702C4×D47—44no—
703C4×D47—82no—
704#36734—471nomaximal, Sylow
705C22×C47—22no—
706C22×C47—22no—
707C22×C47—22no—
708C22×C47—41no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47—41no—
712C22×C47—41no—
713C22×C47—41no—
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×C47—41no—
726C22×C47C22×#4111yescharacteristic
727C22×C47C2×H(5,𝔽2)11yescharacteristic
728C22×C47C2×H(5,𝔽2)11yescharacteristic
729C22×C47C2×H(5,𝔽2)11yescharacteristic
730C22×C47#58511yescharacteristic
731C22×C47#58511yescharacteristic
732C22×C47#58511yescharacteristic
733C2×D47—22no—
734C2×D47—22no—
735C2×D47—22no—
736C2×D47—22no—
737C2×D47—22no—
738C2×D47—22no—
739C2×D47—416no—
740C2×D47—41no—
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—
755C4×C47—22no—
756C4×C47—22no—
757C4×C47—41no—
758C4×C47—41no—
759C4×C47—41no—
760C4×C47—41no—
761C4×C47—41no—
762C4×C47—41no—
763C4×C47—41no—
764C4×C47—41no—
765C4×C47—41no—
766C4×C47—41no—
767Dic47—22no—
768Dic47—41no—
769Dic47—41no—
770Dic47—41no—
771Dic47—41no—
772Dic47—41no—
773Dic47—41no—
774Dic47—41no—
775Dic47—41no—
776Dic47—41no—
777Dic47—41no—
778Dic47—41no—
779Dic47—41no—
780#2849—471no—
781#2847—471no—
782#2746—471no—
783#2746—471no—
784#2744—471no—
785#2743—471no—
786#2741—471no—
787#2722—471no—
788#2706—471no—
789#2705—471no—
790#2701—471no—
791#2699—471no—
792#2691D4711yescharacteristic, complemented
793#2685—471no—
794#2685—471no—
795#2678—471no—
796#2671—471no—
797#2668—471no—
798#2667—471no—
799#2661—471no—
800#2595—471no—
801#2576—471no—
802#2559—471no—
803#2559—471no—
804#2479—471no—
805#2476—471no—
806#2471—471no—
807#2470—471no—
808#2335—471no—
809#2333—471no—
810#2280—471no—
811C2×C47—42no—
812C2×C47—81no—
813C2×C47—81no—
814C2×C47#345511yescharacteristic
815C2×C47#349011yescharacteristic
816C2×C47#349411yescharacteristic
817C2×C47#353311yescharacteristic
818C2×C47#353411yescharacteristic
819C2×C47#353911yescharacteristic
820C2×C47#354211yescharacteristic
821D47—42no—
822D47—42no—
823D47—81no—
824C24×C4—471no—
825C2×#126—471no—
826C2×#126—471no—
827C2×#126C2×D4711yescharacteristic, complemented
828C2×#123—471no—
829C2×#123—471no—
830C2×#123—471no—
831C2×#123—471no—
832C2×#121—471no—
833C2×#121—471no—
834C2×#121—471no—
835C2×#121—471no—
836C2×#121—471no—
837C2×#121C2×D4711yescharacteristic
838C2×#120—471no—
839C2×#120—471no—
840C2×#120—471no—
841C2×#117—471no—
842C2×#117—471no—
843#401—471no—
844#400—471no—
845#400—471no—
846#400—471no—
847#400—471no—
848#399—471no—
849#399—471no—
850#399—471no—
851#399—471no—
852#399—471no—
853#398—471no—
854#398—471no—
855#398—471no—
856#398—471no—
857#398—471no—
858#398—471no—
859#398C2×D4711yescharacteristic, complemented
860#397—471no—
861#397—471no—
862#397—471no—
863#397—471no—
864#397—471no—
865#397C2×D4711yescharacteristic, complemented
866#396—471no—
867#396—471no—
868#396—471no—
869#396—471no—
870#396C2×D4711yescharacteristic, complemented
871#394—471no—
872#394—471no—
873#394—471no—
874#394—471no—
875#394—471no—
876#394—471no—
877#394—471no—
878#394—471no—
879#394—471no—
880#394—471no—
881#394—471no—
882#394—471no—
883#394—471no—
884#394C2×D4711yescharacteristic
885#394C2×D4711yescharacteristic
886#394C2×D4711yescharacteristic, complemented
887#392—471no—
888#392—471no—
889#392—471no—
890#392—471no—
891#390—471no—
892#390—471no—
893#390—471no—
894#390—471no—
895#390—471no—
896#390—471no—
897#390—471no—
898#390C2×D4711yescharacteristic
899#389—471no—
900#389—471no—
901#389—471no—
902#389—471no—
903#388—471no—
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#387—471no—
921#387—471no—
922#387—471no—
923#387—471no—
924#387—471no—
925#387—471no—
926#387—471no—
927#387—471no—
928#387C2×D4711yescharacteristic, complemented
929#386—471no—
930#386—471no—
931#386—471no—
932#386—471no—
933#386—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#386C2×D4711yescharacteristic
945#386C2×D4711yescharacteristic, complemented
946#385—471no—
947#385—471no—
948#385—471no—
949#385—471no—
950#385—471no—
951#385—471no—
952#385—471no—
953#385C2×D4711yescharacteristic
954#385C2×D4711yescharacteristic, complemented
955#382—471no—
956#381—471no—
957#381—471no—
958#381—471no—
959#381—471no—
960#381—471no—
961#380—471no—
962#380—471no—
963#380—471no—
964#380—471no—
965#380—471no—
966#380—471no—
967#380C2×D4711yescharacteristic
968#379—471no—
969#379—471no—
970#379—471no—
971C4×C4⋊C4—471no—
972C4×C22⋊C4—471no—
973C4×C22⋊C4—471no—
974C4×C22⋊C4—471no—
975C4×C22⋊C4—471no—
976C4×C22⋊C4—471no—
977C4×C22⋊C4—471no—
978C4×C22⋊C4—471no—
979C47#3673411yescharacteristic, complemented, Sylow
980C25—471no—
981C22×D4—471no—
982C22×D4—471no—
983C22×D4—471no—
984C22×D4—471no—
985C22×D4—471no—
986C22×D4—471no—
987C22×D4—471no—
988C22×D4—471no—
989C22×D4—471no—
990C22×D4C22×D4711yescharacteristic
991C22×D4C22×D4711yescharacteristic
992C22×D4C22×D4711yescharacteristic
993C23×C4—471no—
994C23×C4—471no—
995C23×C4—471no—
996C23×C4—471no—
997C23×C4—471no—
998C23×C4—471no—
999C23×C4—471no—
1000C23×C4—944no—
1001C23×C4—1882no—
1002C23×C4—1882no—
1003C23×C4C22×D4711yescharacteristic
1004C23×C4C22×D4711yescharacteristic
1005#126—42no—
1006#126—1882no—
1007#126—1882no—
1008#123—944no—
1009#123—1882no—
1010#123—1882no—
1011#123—1882no—
1012#121—42no—
1013#121—944no—
1014#121—1882no—
1015#121—1882no—
1016#121—1882no—
1017#121—1882no—
1018#120—1882no—
1019#120—1882no—
1020#120—1882no—
1021#117—1882no—
1022#117—1882no—
1023C2×C4⋊C4—471no—
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—471no—
1042C2×C4⋊C4—471no—
1043C2×C4⋊C4—471no—
1044C2×C4⋊C4—471no—
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×C4⋊C4C22×D4711yescharacteristic
1052C2×C4⋊C4C22×D4711yescharacteristic
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⋊C4C22×D4711yescharacteristic
1095C2×C22⋊C4C22×D4711yescharacteristic
1096C2×C22⋊C4C22×D4711yescharacteristic
1097C2×C22⋊C4C22×D4711yescharacteristic
1098C2×C22⋊C4C22×D4711yescharacteristic
1099C2×C22⋊C4C22×D4711yescharacteristic
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×C42—471no—
1108C2×C42—471no—
1109C2×C42—471no—
1110C2×C42—471no—
1111C2×C42—471no—
1112C2×C42—471no—
1113C2×C42—471no—
1114C2×C42—471no—
1115C2×C42C22×D4711yescharacteristic
1116#95—471no—
1117#95—471no—
1118#95—471no—
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#95C22×D4711yescharacteristic
1149#95C22×D4711yescharacteristic
1150#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156C24—471no—
1157C24—471no—
1158C24—471no—
1159C24—942no—
1160C24—942no—
1161C24—942no—
1162C24—1881no—
1163C24—1881no—
1164C24—1881no—
1165C24—1881no—
1166C24C23×D4711yescharacteristic
1167C24C23×D4711yescharacteristic
1168C24C23×D4711yescharacteristic
1169C2×D4—22no—
1170C2×D4—22no—
1171C2×D4—22no—
1172C2×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4—41no—
1178C2×D4—942no—
1179C2×D4—942no—
1180C2×D4—942no—
1181C2×D4—942no—
1182C2×D4—942no—
1183C2×D4—942no—
1184C2×D4—942no—
1185C2×D4—1881no—
1186C2×D4—1881no—
1187C2×D4—1881no—
1188C2×D4—1881no—
1189C2×D4—1881no—
1190C2×D4—1881no—
1191C2×D4—1881no—
1192C2×D4—1881no—
1193C2×D4—1881no—
1194C2×D4—1881no—
1195C2×D4—1881no—
1196C2×D4—1881no—
1197C2×D4—1881no—
1198C2×D4—1881no—
1199C2×D4—1881no—
1200C2×D4—1881no—
1201C2×D4—1881no—
1202C2×D4—1881no—
1203C2×D4—1881no—
1204C2×D4—1881no—
1205C22×C4—22no—
1206C22×C4—22no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—471no—
1212C22×C4—474no—
1213C22×C4—471no—
1214C22×C4—471no—
1215C22×C4—471no—
1216C22×C4—471no—
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—942no—
1226C22×C4—942no—
1227C22×C4—942no—
1228C22×C4—942no—
1229C22×C4—942no—
1230C22×C4—942no—
1231C22×C4—942no—
1232C22×C4—942no—
1233C22×C4—1881no—
1234C22×C4—1881no—
1235C22×C4—1881no—
1236C22×C4—1881no—
1237C22×C4—1881no—
1238C22×C4—1881no—
1239C22×C4—1881no—
1240C22×C4—18816no—
1241C22×C4—1881no—
1242C22×C4—1881no—
1243C22×C4—1881no—
1244C22×C4—1881no—
1245C22×C4—1881no—
1246C22×C4C23×D4711yescharacteristic
1247C22×C4C23×D4711yescharacteristic
1248C22×C4C23×D4711yescharacteristic
1249C22×C4C23×D4711yescharacteristic
1250C22×C4C23×D4711yescharacteristic
1251C22×C4C23×D4711yescharacteristic
1252C22×C4C23×D4711yescharacteristic
1253C22×C4C23×D4711yescharacteristic
1254C22×C4C23×D4711yescharacteristic
1255C22×C4C23×D4711yescharacteristic
1256C22×C4C23×D4711yescharacteristic
1257C22×C4C23×D4711yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—22no—
1260C4⋊C4—22no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—41no—
1265C4⋊C4—41no—
1266C4⋊C4—942no—
1267C4⋊C4—942no—
1268C4⋊C4—942no—
1269C4⋊C4—1881no—
1270C4⋊C4—1881no—
1271C4⋊C4—1881no—
1272C4⋊C4—1881no—
1273C4⋊C4—1881no—
1274C4⋊C4—1881no—
1275C4⋊C4—1881no—
1276C4⋊C4—1881no—
1277C4⋊C4—1881no—
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—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—942no—
1302C22⋊C4—942no—
1303C22⋊C4—942no—
1304C22⋊C4—942no—
1305C22⋊C4—942no—
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—1881no—
1315C22⋊C4—1881no—
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—
1342C42—41no—
1343C42—1881no—
1344C42—1881no—
1345C42—1881no—
1346C42—1881no—
1347C42—1881no—
1348C42—1881no—
1349C42—1881no—
1350C42—1881no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
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—941no—
1374C23—941no—
1375C23—941no—
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—1884no—
1393C23—1884no—
1394C23—1884no—
1395C23—1884no—
1396C23—1884no—
1397C23—1884no—
1398C23—1884no—
1399C23#1309407012yes—
1400C23C24×D4711yescharacteristic
1401D4—82no—
1402D4—82no—
1403D4—82no—
1404D4—3762no—
1405D4—3762no—
1406D4—3762no—
1407D4—3762no—
1408D4—3762no—
1409D4—3762no—
1410D4—3762no—
1411D4—3762no—
1412D4—3762no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
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—44no—
1448C2×C4—82no—
1449C2×C4—472no—
1450C2×C4—948no—
1451C2×C4—941no—
1452C2×C4—941no—
1453C2×C4—941no—
1454C2×C4—941no—
1455C2×C4—941no—
1456C2×C4—941no—
1457C2×C4—941no—
1458C2×C4—941no—
1459C2×C4—941no—
1460C2×C4—941no—
1461C2×C4—941no—
1462C2×C4—941no—
1463C2×C4—941no—
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—3762no—
1490C2×C4—3762no—
1491C2×C4—1884no—
1492C2×C4—1884no—
1493C2×C4—1884no—
1494C2×C4—1884no—
1495C2×C4#41×D4712yes—
1496C2×C4#1309406912yes—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—41no—
1512C22—41no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—942no—
1519C22—942no—
1520C22—942no—
1521C22—942no—
1522C22—942no—
1523C22—942no—
1524C22—18816no—
1525C22—1881no—
1526C22—1881no—
1527C22—1881no—
1528C22—1881no—
1529C22—1881no—
1530C22—1881no—
1531C22—1881no—
1532C22—1881no—
1533C22—1881no—
1534C22—1881no—
1535C22—1881no—
1536C22—1881no—
1537C22—1881no—
1538C22—1881no—
1539C22—1881no—
1540C22C2×#41×D4711yescharacteristic
1541C22H(5,𝔽2)×D4711yescharacteristic
1542C22C2×#1309406911yescharacteristic
1543C22C2×#1309407011yescharacteristic
1544C22#1568995811yescharacteristic
1545C22#1568995811yescharacteristic
1546C22#1568996011yescharacteristic
1547C4—22no—
1548C4—22no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—942no—
1560C4—1881no—
1561C4—1881no—
1562C4—1881no—
1563C4—1881no—
1564C4—1881no—
1565C4—1881no—
1566C4—1881no—
1567C4—1881no—
1568C4—1881no—
1569C4—1881no—
1570C4—1881no—
1571C4—1881no—
1572C2—42no—
1573C2—81no—
1574C2—81no—
1575C2—3761no—
1576C2—1882no—
1577C2—1882no—
1578C2#2025677511yescharacteristic
1579C2#2025707011yescharacteristic
1580C2#2025711911yescharacteristic
1581C2#2025755711yescharacteristic
1582C2#2025758311yescharacteristic
1583C2#2025764111yescharacteristic
1584C2#2025769011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2691C2
hypercenter#2691D47
hypocenterC47#36734
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2691

Complements

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

NH ≅ G/Ntype
1. #20251683C2semidirect
2. #20251667C2semidirect
3. #20250579C2semidirect
4. #20250571C2semidirect
5. #20250537C2semidirect
6. #20250522C2semidirect
7. #20250499C2semidirect
8. #20250294C2semidirect
9. #20250082C2semidirect
10. #20250055C2semidirect
11. #20250008C2semidirect
12. #20249977C2semidirect
13. #20249785C2semidirect
14. #20249781C2semidirect
15. #20249708C2semidirect
16. #20249619C2semidirect
17. #20249594C2semidirect
18. #20249587C2semidirect
19. #20249523C2semidirect
20. #20248915C2semidirect
21. #20248696C2semidirect
22. #20248512C2semidirect
23. #20248510C2semidirect
24. #20247615C2semidirect
25. #20247578C2semidirect
26. #20247494C2semidirect
27. #20247485C2semidirect
28. #20246177C2semidirect
29. #20246149C2semidirect
30. #20245770C2semidirect
31. C47×#2691C2semidirect
38. C2×#13094006C22semidirect
49. C47⋊#401C22semidirect
50. #15689065C22semidirect
51. #15689064C22semidirect
52. #15689062C22semidirect
53. #15689061C22semidirect
55. #15689059C22semidirect
58. #15689058C22semidirect
59. #15689056C22semidirect
60. #15689055C22semidirect
61. #15689055C22semidirect
62. #15689055C22semidirect
63. #15689053C22semidirect
64. #15689053C22semidirect
65. #15689051C22semidirect
67. #15689050C22semidirect
71. #15689046C22semidirect
80. #15689039C22semidirect
81. #15689039C22semidirect
84. #15689038C22semidirect
90. #15689031C22semidirect
96. #15689023C22semidirect
97. #15689023C22semidirect
98. #15689022C22semidirect
99. #15689022C22semidirect
100. #15689022C22semidirect
101. #15689019C22semidirect
103. #15689017C22semidirect
104. #15689016C22semidirect
105. #15689016C22semidirect
107. #15689015C22semidirect
108. #15689015C22semidirect
111. #15689013C22semidirect
112. #15689013C22semidirect
116. #15689011C22semidirect
117. #15689011C22semidirect
118. #15689011C22semidirect
119. #15689010C22semidirect
120. #15689009C22semidirect
121. #15689009C22semidirect
122. #15689008C22semidirect
123. #15689008C22semidirect
124. #15689007C22semidirect
125. #15689006C22semidirect
126. #15689005C22semidirect
129. #15689003C22semidirect
142. #15688998C22semidirect
143. #15688998C22semidirect
147. #15688994C22semidirect
148. #15688994C22semidirect
149. #15688987C22semidirect
150. #15688986C22semidirect
164. C4×Dic47⋊C4C22semidirect
167. C22⋊C4×Dic47C22semidirect
168. C4×C22⋊Dic47C22semidirect
171. #15688970C22semidirect
172. C2×#126×C47C22semidirect
174. C47×#398C22semidirect
175. C47×#397C22semidirect
176. C47×#396C22semidirect
179. C47×#394C22semidirect
181. C47×#387C22semidirect
183. C47×#386C22semidirect
185. C47×#385C22semidirect
792. #2691D47semidirect
827. C2×#126C2×D47semidirect
859. #398C2×D47semidirect
865. #397C2×D47semidirect
870. #396C2×D47semidirect
886. #394C2×D47semidirect
928. #387C2×D47semidirect
945. #386C2×D47semidirect
954. #385C2×D47semidirect
979. C47#36734semidirect

Maximal subgroups

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

subgroupindex
#202516832
#202516672
#202505792
#202505712
#202505372
#202505222
#202504992
#202502942
#202500822
#202500552
#202500082
#202499772
#202497852
#202497812
#202497082
#202496192
#202495942
#202495872
#202495232
#202489152
#202486962
#202485122
#202485102
#202476152
#202475782
#202474942
#202474852
#202461772
#202461492
#202457702
C47×#26912
#3673447