Finite Group Databasebeta

← #26425193

Subgroups — #26425193

Order 12032.

1950 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251700C211yesmaximal, characteristic, complemented
2#20251688C211yesmaximal, characteristic, complemented
3#20251368C211yesmaximal, characteristic, complemented
4#20251327C211yesmaximal, characteristic, complemented
5#20251322C211yesmaximal, characteristic, complemented
6#20251097C211yesmaximal, characteristic, complemented
7#20251053C211yesmaximal, characteristic, complemented
8#20251014C211yesmaximal, characteristic, complemented
9#20251007C211yesmaximal, characteristic, complemented
10#20250958C211yesmaximal, characteristic, complemented
11#20250759C211yesmaximal, characteristic, complemented
12#20250712C211yesmaximal, characteristic, complemented
13#20250710C211yesmaximal, characteristic, complemented
14#20250645C211yesmaximal, characteristic, complemented
15#20250416C211yesmaximal, characteristic, complemented
16#20250195C211yesmaximal, characteristic, complemented
17#20249790C211yesmaximal, characteristic, complemented
18#20249160C211yesmaximal, characteristic, complemented
19#20249121C211yesmaximal, characteristic, complemented
20#20247951C211yesmaximal, characteristic, complemented
21#20247515C211yesmaximal, characteristic, complemented
22#20247135C211yesmaximal, characteristic, complemented
23#20247069C211yesmaximal, characteristic, complemented
24#20246991C211yesmaximal, characteristic, complemented
25#20246921C211yesmaximal, characteristic, complemented
26#20246770C211yesmaximal, characteristic, complemented
27#20246702C211yesmaximal, characteristic, complemented
28#20246055C211yesmaximal, characteristic, complemented
29#20245978C211yesmaximal, characteristic, complemented
30#388×D47C211yesmaximal, characteristic, complemented
31C47×#2714C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33C2×#13094011C2211yescharacteristic, complemented
34C2×#13094010C2211yescharacteristic
35C2×#13094006C2211yescharacteristic
36C2×#13094004C2211yescharacteristic
37C2×#13093995C2211yescharacteristic
38C2×#13093995C2211yescharacteristic
39C2×#13093992C2211yescharacteristic
40C2×#13093992C2211yescharacteristic
41C2×#13093992C2211yescharacteristic
42C2×C4×C22⋊D47C2211yescharacteristic
43C2×#13093981C2211yescharacteristic
44C2×C4⋊C4×D47C2211yescharacteristic
45C2×C22⋊C4×D47C2211yescharacteristic
46C2×C22⋊C4×D47C2211yescharacteristic
47C2×C22⋊C4×D47C2211yescharacteristic
48C2×C42×D47C2211yescharacteristic
49C47⋊#401C2211yescharacteristic, complemented
50#15689065C2211yescharacteristic, complemented
51#15689064C2211yescharacteristic, complemented
52#15689063C2211yescharacteristic, complemented
53#15689057C2211yescharacteristic, complemented
54#15689056C2211yescharacteristic, complemented
55#15689052C2211yescharacteristic
56#15689051C2211yescharacteristic
57#15689051C2211yescharacteristic, complemented
58#15689051C2211yescharacteristic, complemented
59#15689050C2211yescharacteristic
60#15689050C2211yescharacteristic
61#15689049C2211yescharacteristic
62#15689048C2211yescharacteristic
63#15689048C2211yescharacteristic
64#15689048C2211yescharacteristic, complemented
65#15689046C2211yescharacteristic
66#15689045C2211yescharacteristic
67#15689045C2211yescharacteristic
68#15689044C2211yescharacteristic, complemented
69#15689043C2211yescharacteristic, complemented
70#15689039C2211yescharacteristic
71#15689039C2211yescharacteristic
72#15689038C2211yescharacteristic
73#15689038C2211yescharacteristic
74#15689038C2211yescharacteristic
75#15689038C2211yescharacteristic
76#15689037C2211yescharacteristic
77#15689037C2211yescharacteristic
78#15689037C2211yescharacteristic
79#15689037C2211yescharacteristic
80#15689037C2211yescharacteristic
81#15689037C2211yescharacteristic
82#15689037C2211yescharacteristic, complemented
83#15689037C2211yescharacteristic, complemented
84#15689036C2211yescharacteristic
85#15689035C2211yescharacteristic
86#15689035C2211yescharacteristic
87#15689035C2211yescharacteristic, complemented
88#15689031C2211yescharacteristic
89#15689031C2211yescharacteristic
90#15689031C2211yescharacteristic
91#15689029C2211yescharacteristic, complemented
92#15689029C2211yescharacteristic, complemented
93#15689028C2211yescharacteristic, complemented
94#15689027C2211yescharacteristic, complemented
95#15689026C2211yescharacteristic
96#15689026C2211yescharacteristic, complemented
97#15689023C2211yescharacteristic
98#15689023C2211yescharacteristic
99#15689021C2211yescharacteristic, complemented
100#15689020C2211yescharacteristic, complemented
101#15689019C2211yescharacteristic, complemented
102#15689017C2211yescharacteristic
103#15689017C2211yescharacteristic
104#15689017C2211yescharacteristic, complemented
105#15689017C2211yescharacteristic, complemented
106#15689016C2211yescharacteristic
107#15689016C2211yescharacteristic
108#15689016C2211yescharacteristic
109#15689016C2211yescharacteristic, complemented
110#15689016C2211yescharacteristic, complemented
111#15689016C2211yescharacteristic, complemented
112#15689016C2211yescharacteristic, complemented
113#15689016C2211yescharacteristic, complemented
114#15689016C2211yescharacteristic, complemented
115#15689015C2211yescharacteristic
116#15689014C2211yescharacteristic
117#15689014C2211yescharacteristic
118#15689013C2211yescharacteristic
119#15689013C2211yescharacteristic
120#15689012C2211yescharacteristic
121#15689011C2211yescharacteristic
122#15689011C2211yescharacteristic, complemented
123#15689011C2211yescharacteristic, complemented
124#15689011C2211yescharacteristic, complemented
125#15689011C2211yescharacteristic, complemented
126#15689010C2211yescharacteristic, complemented
127#15689010C2211yescharacteristic, complemented
128#15689008C2211yescharacteristic, complemented
129#15689004C2211yescharacteristic, complemented
130#15689004C2211yescharacteristic, complemented
131#15689004C2211yescharacteristic, complemented
132#15689004C2211yescharacteristic, complemented
133#15689004C2211yescharacteristic, complemented
134#15689003C2211yescharacteristic
135#15689003C2211yescharacteristic
136#15689003C2211yescharacteristic, complemented
137#15689003C2211yescharacteristic, complemented
138#15689002C2211yescharacteristic
139#15689000C2211yescharacteristic
140#15689000C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic
146#15688999C2211yescharacteristic
147#15688999C2211yescharacteristic
148#15688999C2211yescharacteristic
149#15688999C2211yescharacteristic
150#15688999C2211yescharacteristic
151#15688998C2211yescharacteristic, complemented
152#15688998C2211yescharacteristic, complemented
153#15688997C2211yescharacteristic
154#15688996C2211yescharacteristic, complemented
155#15688994C2211yescharacteristic
156#15688994C2211yescharacteristic
157#15688994C2211yescharacteristic
158#15688991C2211yescharacteristic, complemented
159#15688990C2211yescharacteristic, complemented
160#15688988C2211yescharacteristic, complemented
161#15688986C2211yescharacteristic, complemented
162#15688985C2211yescharacteristic
163#15688982C2211yescharacteristic
164#15688981C2211yescharacteristic, complemented
165#15688981C2211yescharacteristic, complemented
166#15688981C2211yescharacteristic, complemented
167#15688981C2211yescharacteristic, complemented
168#15688978C2211yescharacteristic
169#15688970C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C2×#126×C47C2211yescharacteristic, complemented
173C2×#121×C47C2211yescharacteristic
174C47×#397C2211yescharacteristic, complemented
175C47×#394C2211yescharacteristic
176C47×#394C2211yescharacteristic
177C47×#392C2211yescharacteristic
178C47×#392C2211yescharacteristic
179C47×#392C2211yescharacteristic, complemented
180C47×#390C2211yescharacteristic
181C47×#390C2211yescharacteristic, complemented
182C47×#390C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic
184C47×#387C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic, complemented
186C47×#385C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C2×#10625352—24no—
189C2×#10625352—42no—
190C2×#10625352—42no—
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207#13094011—42no—
208#13094010—42no—
209#13094006—24no—
210#13094004—42no—
211#13093995—42no—
212#13093995—42no—
213#13093992—42no—
214#13093992—42no—
215#13093992—42no—
216C4×C22⋊D47—42no—
217#13093981—42no—
218C2×C4⋊Dic47C2311yescharacteristic
219C2×C4⋊Dic47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
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
236C2×Dic47⋊C4C2311yescharacteristic
237C4⋊C4×D47—42no—
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×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
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
277C22⋊C4×D47—24no—
278C22⋊C4×D47—42no—
279C22⋊C4×D47—42no—
280C2×C4×Dic47C2311yescharacteristic
281C2×C4×Dic47C2311yescharacteristic
282C2×C4×Dic47C2311yescharacteristic
283C2×C4×Dic47C2311yescharacteristic
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C42×D47—42no—
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
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C22×D4×C47C2311yescharacteristic
327C22×D4×C47C2311yescharacteristic
328C22×D4×C47C2311yescharacteristic
329C22×D4×C47C2311yescharacteristic
330C22×D4×C47C2311yescharacteristic
331C22×D4×C47C2311yescharacteristic
332C23×C4×C47C2311yescharacteristic
333#126×C47—42no—
334#121×C47—42no—
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×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C42×C47C2311yescharacteristic
356C2×C42×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
366C24×C47C2411yescharacteristic
367C23×D47—22no—
368C23×D47—22no—
369C23×D47—22no—
370C23×D47—41no—
371C23×D47—41no—
372C23×D47—41no—
373C23×D47—41no—
374C23×D47C2411yescharacteristic
375C23×D47C2411yescharacteristic
376C2×D4×C47—22no—
377C2×D4×C47—22no—
378C2×D4×C47—41no—
379C2×D4×C47—41no—
380C2×D4×C47—41no—
381C2×D4×C47—41no—
382C2×D4×C47—41no—
383C2×D4×C47—41no—
384C2×D4×C47—41no—
385C2×D4×C47—41no—
386C2×D4×C47—41no—
387C2×D4×C47—41no—
388C2×D4×C47—41no—
389C2×D4×C47—41no—
390C2×D4×C47—41no—
391C2×D4×C47—41no—
392C2×D4×C47—41no—
393C2×D4×C47—41no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
396C22×C4×C47—41no—
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—22no—
414C2×C22⋊D47—22no—
415C2×C22⋊D47—22no—
416C2×C22⋊D47—22no—
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—
424C2×C22⋊D47—41no—
425C2×C22⋊D47—41no—
426C22×Dic47—22no—
427C22×Dic47—22no—
428C22×Dic47—41no—
429C22×Dic47—41no—
430C22×Dic47—41no—
431C22×Dic47—41no—
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446#10625352—416no—
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#4114yes—
465C2×Dic94—22no—
466C2×Dic94—22no—
467C2×Dic94—41no—
468C2×Dic94—41no—
469C2×Dic94—41no—
470C2×Dic94—41no—
471C4⋊C4×C47—22no—
472C4⋊C4×C47—41no—
473C4⋊C4×C47—41no—
474C4⋊C4×C47—41no—
475C4⋊C4×C47—41no—
476C22⋊C4×C47—22no—
477C22⋊C4×C47—22no—
478C22⋊C4×C47—22no—
479C22⋊C4×C47—22no—
480C22⋊C4×C47—41no—
481C22⋊C4×C47—41no—
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—
489C22⋊C4×C47—41no—
490C22⋊C4×C47—41no—
491C42×C47—22no—
492C42×C47—41no—
493C22⋊Dic47—22no—
494C22⋊Dic47—22no—
495C22⋊Dic47—41no—
496C22⋊Dic47—41no—
497C22⋊Dic47—41no—
498C22⋊Dic47—41no—
499C22⋊Dic47—41no—
500C22⋊Dic47—41no—
501C22⋊Dic47—41no—
502C22⋊Dic47—41no—
503C22⋊Dic47—41no—
504C22⋊Dic47—41no—
505C22⋊Dic47—41no—
506C22⋊Dic47—41no—
507C22⋊Dic47—41no—
508C22⋊Dic47—41no—
509C22⋊Dic47—41no—
510C22⋊Dic47—41no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
515C22⋊Dic47—41no—
516(C2×D47)⋊C4—22no—
517(C2×D47)⋊C4—22no—
518(C2×D47)⋊C4—22no—
519(C2×D47)⋊C4—22no—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
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—
532C4⋊Dic47—22no—
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—
550Dic47⋊C4—41no—
551C4×Dic47—22no—
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×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47C2511yescharacteristic
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×D47C2×#4112yes—
606C22×D47H(5,𝔽2)12yes—
607C22×D47H(5,𝔽2)12yes—
608D4×C47—44no—
609D4×C47—82no—
610D4×C47—82no—
611D4×C47—82no—
612D4×C47—82no—
613D4×C47—82no—
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—82no—
646C2×C4×C47C2×#4112yes—
647C2×C4×C47H(5,𝔽2)12yes—
648C22⋊D47—44no—
649C22⋊D47—44no—
650C22⋊D47—44no—
651C22⋊D47—82no—
652C22⋊D47—82no—
653C22⋊D47—82no—
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×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—44no—
696C2×Dic47—44no—
697C2×Dic47C2×#4112yes—
698C4×D47—28no—
699C4×D47—44no—
700C4×D47—44no—
701C4×D47—44no—
702C4×D47—82no—
703C4×D47—82no—
704Dic94—44no—
705Dic94—82no—
706#36795—471nomaximal, Sylow
707C22×C47—41no—
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×C47—41no—
727C22×C47—41no—
728C22×C47—41no—
729C22×C47—41no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47C22×#4111yescharacteristic
736C22×C47C2×H(5,𝔽2)11yescharacteristic
737C22×C47C2×H(5,𝔽2)11yescharacteristic
738C22×C47C2×H(5,𝔽2)11yescharacteristic
739C22×C47#58511yescharacteristic
740C22×C47#58511yescharacteristic
741C22×C47#58511yescharacteristic
742C2×D47—22no—
743C2×D47—22no—
744C2×D47—22no—
745C2×D47—22no—
746C2×D47—22no—
747C2×D47—22no—
748C2×D47—41no—
749C2×D47—41no—
750C2×D47—41no—
751C2×D47—41no—
752C2×D47—41no—
753C2×D47—41no—
754C2×D47—41no—
755C2×D47—88no—
756C2×D47#53814yes—
757C4×C47—22no—
758C4×C47—22no—
759C4×C47—41no—
760C4×C47—41no—
761C4×C47—41no—
762C4×C47—41no—
763C4×C47—41no—
764C4×C47—41no—
765C4×C47—41no—
766C4×C47—41no—
767C4×C47—41no—
768Dic47—22no—
769Dic47—41no—
770Dic47—41no—
771Dic47—41no—
772Dic47—41no—
773Dic47—41no—
774Dic47—41no—
775Dic47—41no—
776Dic47—41no—
777Dic47—41no—
778Dic47—41no—
779Dic47—41no—
780Dic47—41no—
781Dic47—41no—
782#2852—471no—
783#2850—471no—
784#2808—471no—
785#2803—471no—
786#2803—471no—
787#2786—471no—
788#2781—471no—
789#2779—471no—
790#2778—471no—
791#2775—471no—
792#2759—471no—
793#2756—471no—
794#2756—471no—
795#2751—471no—
796#2733—471no—
797#2715—471no—
798#2714D4711yescharacteristic, complemented
799#2686—471no—
800#2622—471no—
801#2617—471no—
802#2510—471no—
803#2472—471no—
804#2444—471no—
805#2438—471no—
806#2430—471no—
807#2424—471no—
808#2411—471no—
809#2404—471no—
810#2322—471no—
811#2311—471no—
812C2×#388—471no—
813C2×C47—81no—
814C2×C47—81no—
815C2×C47—81no—
816C2×C47—81no—
817C2×C47C2×#53811yescharacteristic
818C2×C47#349311yescharacteristic
819C2×C47#350611yescharacteristic
820C2×C47#353411yescharacteristic
821C2×C47#354211yescharacteristic
822C2×C47#354511yescharacteristic
823C2×C47#356011yescharacteristic
824D47—24no—
825D47—81no—
826C22×#41—471no—
827C2×#126C2×D4711yescharacteristic, complemented
828C2×#124—471no—
829C2×#124—471no—
830C2×#123—471no—
831C2×C22⋊Q8—471no—
832C2×#121—471no—
833C2×#121—471no—
834C2×#121C2×D4711yescharacteristic
835C2×#120—471no—
836C2×#120—471no—
837C2×#120—471no—
838C2×C4×D4—471no—
839C2×#117—471no—
840C22×C4⋊C4—471no—
841C22×C22⋊C4—471no—
842C22×C22⋊C4—471no—
843C22×C22⋊C4—471no—
844C22×C42—471no—
845#401—471no—
846#400—471no—
847#400—471no—
848#400—471no—
849#398—471no—
850#398—471no—
851#397—471no—
852#397—471no—
853#397—471no—
854#397—471no—
855#397—471no—
856#397—471no—
857#397—471no—
858#397—471no—
859#397—471no—
860#397—471no—
861#397C2×D4711yescharacteristic, complemented
862#396—471no—
863#396—471no—
864#396—471no—
865#395—471no—
866#395—471no—
867#394—471no—
868#394—471no—
869#394—471no—
870#394—471no—
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#394C2×D4711yescharacteristic
882#394C2×D4711yescharacteristic
883#393—471no—
884#393—471no—
885#393—471no—
886#393—471no—
887#392—471no—
888#392—471no—
889#392—471no—
890#392C2×D4711yescharacteristic
891#392C2×D4711yescharacteristic
892#392C2×D4711yescharacteristic, complemented
893#391—471no—
894#391—471no—
895#391—471no—
896#391—471no—
897#390—471no—
898#390—471no—
899#390—471no—
900#390—471no—
901#390C2×D4711yescharacteristic
902#390C2×D4711yescharacteristic, complemented
903#390C2×D4711yescharacteristic, complemented
904#389—471no—
905#389—471no—
906#389—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#388—471no—
927#388—471no—
928#388—471no—
929#388—471no—
930#388—471no—
931#388C2×D4711yescharacteristic
932#387—471no—
933#387—471no—
934#387—471no—
935#387—471no—
936#387—471no—
937#387—471no—
938#387—471no—
939#387—471no—
940#387C2×D4711yescharacteristic, complemented
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#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386C2×D4711yescharacteristic, complemented
959#385—471no—
960#385—471no—
961#385—471no—
962#385—471no—
963#385—471no—
964#385—471no—
965#385—471no—
966#385C2×D4711yescharacteristic, complemented
967#383—471no—
968#383—471no—
969#382—471no—
970#381—471no—
971#381—471no—
972#380—471no—
973#380—471no—
974#380—471no—
975#380—471no—
976#380—471no—
977#379—471no—
978C4×C22⋊C4—471no—
979C2×#95—471no—
980C2×#95—471no—
981C47#3679511yescharacteristic, complemented, Sylow
982C25—471no—
983C2×#41—944no—
984C2×#41—1882no—
985C2×#41—1882no—
986C22×Q8—471no—
987C22×Q8—471no—
988C22×D4—471no—
989C22×D4—471no—
990C22×D4—471no—
991C22×D4—471no—
992C22×D4—471no—
993C22×D4—471no—
994C22×D4C22×D4711yescharacteristic
995C22×D4C22×D4711yescharacteristic
996C22×D4C22×D4711yescharacteristic
997C22×D4C22×D4711yescharacteristic
998C22×D4C22×D4711yescharacteristic
999C22×D4C22×D4711yescharacteristic
1000C23×C4—471no—
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4C22×D4711yescharacteristic
1009#126—42no—
1010#124—1882no—
1011#124—1882no—
1012#123—944no—
1013C22⋊Q8—1882no—
1014#121—42no—
1015#121—1882no—
1016#121—1882no—
1017#120—1882no—
1018#120—1882no—
1019#120—1882no—
1020C4×D4—1882no—
1021#117—1882no—
1022C2×C4⋊C4—471no—
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—1882no—
1042C2×C4⋊C4C22×D4711yescharacteristic
1043C2×C4⋊C4C22×D4711yescharacteristic
1044C2×C4⋊C4C22×D4711yescharacteristic
1045C2×C4⋊C4C22×D4711yescharacteristic
1046C2×C4⋊C4C22×D4711yescharacteristic
1047C2×C22⋊C4—471no—
1048C2×C22⋊C4—471no—
1049C2×C22⋊C4—471no—
1050C2×C22⋊C4—471no—
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—944no—
1087C2×C22⋊C4—1882no—
1088C2×C22⋊C4—1882no—
1089C2×C22⋊C4C22×D4711yescharacteristic
1090C2×C22⋊C4C22×D4711yescharacteristic
1091C2×C22⋊C4C22×D4711yescharacteristic
1092C2×C22⋊C4C22×D4711yescharacteristic
1093C2×C22⋊C4C22×D4711yescharacteristic
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×C42—471no—
1105C2×C42—471no—
1106C2×C42—471no—
1107C2×C42—471no—
1108C2×C42—471no—
1109C2×C42—471no—
1110C2×C42—471no—
1111C2×C42—1882no—
1112C2×C42C22×D4711yescharacteristic
1113C2×C42C22×D4711yescharacteristic
1114#95—471no—
1115#95—471no—
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#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156#95C22×D4711yescharacteristic
1157#95C22×D4711yescharacteristic
1158C24—471no—
1159C24—471no—
1160C24—942no—
1161C24—942no—
1162C24—942no—
1163C24—1881no—
1164C24—1881no—
1165C24—1881no—
1166C24—1881no—
1167C24C23×D4711yescharacteristic
1168C24C23×D4711yescharacteristic
1169C24C23×D4711yescharacteristic
1170C24C23×D4711yescharacteristic
1171#41—18816no—
1172C2×Q8—942no—
1173C2×Q8—942no—
1174C2×Q8—1881no—
1175C2×Q8—1881no—
1176C2×Q8—1881no—
1177C2×Q8—1881no—
1178C2×D4—22no—
1179C2×D4—22no—
1180C2×D4—41no—
1181C2×D4—41no—
1182C2×D4—41no—
1183C2×D4—41no—
1184C2×D4—41no—
1185C2×D4—41no—
1186C2×D4—41no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—41no—
1190C2×D4—41no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—942no—
1197C2×D4—942no—
1198C2×D4—942no—
1199C2×D4—942no—
1200C2×D4—942no—
1201C2×D4—942no—
1202C2×D4—942no—
1203C2×D4—942no—
1204C2×D4—942no—
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—1881no—
1214C22×C4—41no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—471no—
1218C22×C4—474no—
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—471no—
1230C22×C4—471no—
1231C22×C4—471no—
1232C22×C4—942no—
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×C4C23×D4711yescharacteristic
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
1266C4⋊C4—22no—
1267C4⋊C4—41no—
1268C4⋊C4—41no—
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—942no—
1272C4⋊C4—942no—
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—
1288C4⋊C4—1881no—
1289C4⋊C4—1881no—
1290C22⋊C4—22no—
1291C22⋊C4—22no—
1292C22⋊C4—22no—
1293C22⋊C4—22no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
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—942no—
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—
1342C22⋊C4—1881no—
1343C22⋊C4—1881no—
1344C42—22no—
1345C42—41no—
1346C42—942no—
1347C42—1881no—
1348C42—1881no—
1349C42—1881no—
1350C42—1881no—
1351C42—1881no—
1352C42—1881no—
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—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—472no—
1382C23—472no—
1383C23—472no—
1384C23—941no—
1385C23—941no—
1386C23—941no—
1387C23—941no—
1388C23—941no—
1389C23—941no—
1390C23—941no—
1391C23—941no—
1392C23—941no—
1393C23—941no—
1394C23—941no—
1395C23—3762no—
1396C23—3762no—
1397C23—3762no—
1398C23—3762no—
1399C23—1884no—
1400C23—1884no—
1401C23—1884no—
1402C23C24×D4711yescharacteristic
1403Q8—3762no—
1404Q8—1884no—
1405D4—44no—
1406D4—82no—
1407D4—82no—
1408D4—82no—
1409D4—82no—
1410D4—82no—
1411D4—3762no—
1412D4—3762no—
1413D4—3762no—
1414D4—1884no—
1415D4—1884no—
1416D4—1884no—
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—21no—
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—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—3762no—
1493C2×C4—3762no—
1494C2×C4—1884no—
1495C2×C4—1884no—
1496C2×C4—1884no—
1497C2×C4—1884no—
1498C2×C4—1884no—
1499C2×C4#41×D4712yes—
1500C2×C4#1309406912yes—
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—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—474no—
1530C22—942no—
1531C22—942no—
1532C22—942no—
1533C22—942no—
1534C22—942no—
1535C22—942no—
1536C22—3768no—
1537C22—1881no—
1538C22—1881no—
1539C22—1881no—
1540C22—1881no—
1541C22—1881no—
1542C22—1881no—
1543C22—1881no—
1544C22C2×#41×D4711yescharacteristic
1545C22H(5,𝔽2)×D4711yescharacteristic
1546C22H(5,𝔽2)×D4711yescharacteristic
1547C22C2×#1309406911yescharacteristic
1548C22#1568995811yescharacteristic
1549C22#1568995811yescharacteristic
1550C22#1568995911yescharacteristic
1551C4—22no—
1552C4—22no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—41no—
1561C4—41no—
1562C4—942no—
1563C4—1881no—
1564C4—1881no—
1565C4—1881no—
1566C4—1881no—
1567C4—1881no—
1568C4—1881no—
1569C4—1881no—
1570C4—1881no—
1571C4—1881no—
1572C4—1881no—
1573C4—1881no—
1574C4—1881no—
1575C4—1881no—
1576C2—81no—
1577C2—81no—
1578C2—81no—
1579C2—81no—
1580C2—944no—
1581C2—3761no—
1582C2#538×D4711yescharacteristic
1583C2#2025710411yescharacteristic
1584C2#2025723211yescharacteristic
1585C2#2025757011yescharacteristic
1586C2#2025770611yescharacteristic
1587C2#2025773911yescharacteristic
1588C2#2025793811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2714C2
hypercenter#2714D47
hypocenterC47#36795
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2714

Complements

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

NH ≅ G/Ntype
1. #20251700C2semidirect
2. #20251688C2semidirect
3. #20251368C2semidirect
4. #20251327C2semidirect
5. #20251322C2semidirect
6. #20251097C2semidirect
7. #20251053C2semidirect
8. #20251014C2semidirect
9. #20251007C2semidirect
10. #20250958C2semidirect
11. #20250759C2semidirect
12. #20250712C2semidirect
13. #20250710C2semidirect
14. #20250645C2semidirect
15. #20250416C2semidirect
16. #20250195C2semidirect
17. #20249790C2semidirect
18. #20249160C2semidirect
19. #20249121C2semidirect
20. #20247951C2semidirect
21. #20247515C2semidirect
22. #20247135C2semidirect
23. #20247069C2semidirect
24. #20246991C2semidirect
25. #20246921C2semidirect
26. #20246770C2semidirect
27. #20246702C2semidirect
28. #20246055C2semidirect
29. #20245978C2semidirect
30. #388×D47C2semidirect
31. C47×#2714C2semidirect
33. C2×#13094011C22semidirect
49. C47⋊#401C22semidirect
50. #15689065C22semidirect
51. #15689064C22semidirect
52. #15689063C22semidirect
53. #15689057C22semidirect
54. #15689056C22semidirect
57. #15689051C22semidirect
58. #15689051C22semidirect
64. #15689048C22semidirect
68. #15689044C22semidirect
69. #15689043C22semidirect
82. #15689037C22semidirect
83. #15689037C22semidirect
87. #15689035C22semidirect
91. #15689029C22semidirect
92. #15689029C22semidirect
93. #15689028C22semidirect
94. #15689027C22semidirect
96. #15689026C22semidirect
99. #15689021C22semidirect
100. #15689020C22semidirect
101. #15689019C22semidirect
104. #15689017C22semidirect
105. #15689017C22semidirect
109. #15689016C22semidirect
110. #15689016C22semidirect
111. #15689016C22semidirect
112. #15689016C22semidirect
113. #15689016C22semidirect
114. #15689016C22semidirect
122. #15689011C22semidirect
123. #15689011C22semidirect
124. #15689011C22semidirect
125. #15689011C22semidirect
126. #15689010C22semidirect
127. #15689010C22semidirect
128. #15689008C22semidirect
129. #15689004C22semidirect
130. #15689004C22semidirect
131. #15689004C22semidirect
132. #15689004C22semidirect
133. #15689004C22semidirect
136. #15689003C22semidirect
137. #15689003C22semidirect
151. #15688998C22semidirect
152. #15688998C22semidirect
154. #15688996C22semidirect
158. #15688991C22semidirect
159. #15688990C22semidirect
160. #15688988C22semidirect
161. #15688986C22semidirect
164. #15688981C22semidirect
165. #15688981C22semidirect
166. #15688981C22semidirect
167. #15688981C22semidirect
172. C2×#126×C47C22semidirect
174. C47×#397C22semidirect
179. C47×#392C22semidirect
181. C47×#390C22semidirect
182. C47×#390C22semidirect
184. C47×#387C22semidirect
185. C47×#386C22semidirect
186. C47×#385C22semidirect
798. #2714D47semidirect
827. C2×#126C2×D47semidirect
861. #397C2×D47semidirect
892. #392C2×D47semidirect
902. #390C2×D47semidirect
903. #390C2×D47semidirect
940. #387C2×D47semidirect
958. #386C2×D47semidirect
966. #385C2×D47semidirect
981. C47#36795semidirect

Maximal subgroups

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

subgroupindex
#202517002
#202516882
#202513682
#202513272
#202513222
#202510972
#202510532
#202510142
#202510072
#202509582
#202507592
#202507122
#202507102
#202506452
#202504162
#202501952
#202497902
#202491602
#202491212
#202479512
#202475152
#202471352
#202470692
#202469912
#202469212
#202467702
#202467022
#202460552
#202459782
#388×D472
C47×#27142
#3679547