Finite Group Databasebeta

← #26424692

Subgroups — #26424692

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#20251705C211yesmaximal, characteristic, complemented
2#20251685C211yesmaximal, characteristic, complemented
3#20251052C211yesmaximal, characteristic, complemented
4#20251052C211yesmaximal, characteristic, complemented
5#20251007C211yesmaximal, characteristic, complemented
6#20250825C211yesmaximal, characteristic, complemented
7#20250815C211yesmaximal, characteristic, complemented
8#20250777C211yesmaximal, characteristic, complemented
9#20250704C211yesmaximal, characteristic, complemented
10#20250605C211yesmaximal, characteristic, complemented
11#20250529C211yesmaximal, characteristic, complemented
12#20250503C211yesmaximal, characteristic, complemented
13#20250428C211yesmaximal, characteristic, complemented
14#20250423C211yesmaximal, characteristic, complemented
15#20250386C211yesmaximal, characteristic, complemented
16#20250016C211yesmaximal, characteristic, complemented
17#20249778C211yesmaximal, characteristic, complemented
18#20249763C211yesmaximal, characteristic, complemented
19#20249171C211yesmaximal, characteristic, complemented
20#20249134C211yesmaximal, characteristic, complemented
21#20247954C211yesmaximal, characteristic, complemented
22#20247710C211yesmaximal, characteristic, complemented
23#20247136C211yesmaximal, characteristic, complemented
24#20247049C211yesmaximal, characteristic, complemented
25#20246943C211yesmaximal, characteristic, complemented
26#20246763C211yesmaximal, characteristic
27#20246715C211yesmaximal, characteristic, complemented
28#20246049C211yesmaximal, characteristic, complemented
29#20245963C211yesmaximal, characteristic, complemented
30C2×#15689016C211yesmaximal, characteristic, complemented
31C47×#2412C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C2×#13094019C2211yescharacteristic, complemented
34C2×#13094010C2211yescharacteristic, complemented
35C2×#13094007C2211yescharacteristic
36C2×#13094007C2211yescharacteristic
37C2×#13094003C2211yescharacteristic, complemented
38C2×#13094001C2211yescharacteristic, complemented
39C2×#13093996C2211yescharacteristic
40C2×#13093996C2211yescharacteristic
41C2×#13093992C2211yescharacteristic
42C2×D4×Dic47C2211yescharacteristic, complemented
43C22×C4⋊Dic47C2211yescharacteristic, complemented
44C22×C22⋊Dic47C2211yescharacteristic
45C22×C22⋊Dic47C2211yescharacteristic
46C22×C4×Dic47C2211yescharacteristic, complemented
47C47⋊#401C2211yescharacteristic, complemented
48#15689065C2211yescharacteristic, complemented
49#15689064C2211yescharacteristic, complemented
50#15689063C2211yescharacteristic, complemented
51#15689063C2211yescharacteristic, complemented
52#15689063C2211yescharacteristic, complemented
53#15689061C2211yescharacteristic, complemented
54#15689060C2211yescharacteristic, complemented
55#15689060C2211yescharacteristic, complemented
56#15689059C2211yescharacteristic
57#15689056C2211yescharacteristic, complemented
58#15689056C2211yescharacteristic, complemented
59#15689056C2211yescharacteristic, complemented
60#15689055C2211yescharacteristic, complemented
61#15689055C2211yescharacteristic, complemented
62#15689052C2211yescharacteristic, complemented
63#15689052C2211yescharacteristic, complemented
64#15689051C2211yescharacteristic, complemented
65#15689050C2211yescharacteristic, complemented
66#15689050C2211yescharacteristic, complemented
67#15689050C2211yescharacteristic, complemented
68#15689049C2211yescharacteristic, complemented
69#15689048C2211yescharacteristic, complemented
70#15689046C2211yescharacteristic
71#15689046C2211yescharacteristic
72#15689046C2211yescharacteristic, complemented
73#15689046C2211yescharacteristic, complemented
74#15689045C2211yescharacteristic, complemented
75#15689045C2211yescharacteristic, complemented
76#15689045C2211yescharacteristic, complemented
77#15689039C2211yescharacteristic, complemented
78#15689039C2211yescharacteristic, complemented
79#15689039C2211yescharacteristic, complemented
80#15689038C2211yescharacteristic
81#15689038C2211yescharacteristic
82#15689038C2211yescharacteristic
83#15689038C2211yescharacteristic
84#15689038C2211yescharacteristic
85#15689038C2211yescharacteristic
86#15689038C2211yescharacteristic, complemented
87#15689036C2211yescharacteristic, complemented
88#15689035C2211yescharacteristic
89#15689031C2211yescharacteristic
90#15689031C2211yescharacteristic
91#15689027C2211yescharacteristic, complemented
92#15689027C2211yescharacteristic, complemented
93#15689026C2211yescharacteristic
94#15689026C2211yescharacteristic, complemented
95#15689023C2211yescharacteristic, complemented
96#15689018C2211yescharacteristic, complemented
97#15689016C2211yescharacteristic
98#15689016C2211yescharacteristic
99#15689016C2211yescharacteristic
100#15689016C2211yescharacteristic
101#15689016C2211yescharacteristic
102#15689016C2211yescharacteristic
103#15689016C2211yescharacteristic, complemented
104#15689016C2211yescharacteristic, complemented
105#15689016C2211yescharacteristic, complemented
106#15689016C2211yescharacteristic, complemented
107#15689016C2211yescharacteristic, complemented
108#15689016C2211yescharacteristic, complemented
109#15689016C2211yescharacteristic, complemented
110#15689015C2211yescharacteristic, complemented
111#15689015C2211yescharacteristic, complemented
112#15689015C2211yescharacteristic, complemented
113#15689015C2211yescharacteristic, complemented
114#15689013C2211yescharacteristic, complemented
115#15689013C2211yescharacteristic, complemented
116#15689013C2211yescharacteristic, complemented
117#15689012C2211yescharacteristic, complemented
118#15689012C2211yescharacteristic, complemented
119#15689012C2211yescharacteristic, complemented
120#15689012C2211yescharacteristic, complemented
121#15689011C2211yescharacteristic, complemented
122#15689009C2211yescharacteristic, complemented
123#15689008C2211yescharacteristic, complemented
124#15689006C2211yescharacteristic, complemented
125#15689004C2211yescharacteristic, complemented
126#15689004C2211yescharacteristic, complemented
127#15689003C2211yescharacteristic
128#15689003C2211yescharacteristic
129#15689003C2211yescharacteristic, complemented
130#15689003C2211yescharacteristic, complemented
131#15689002C2211yescharacteristic
132#15689002C2211yescharacteristic
133#15689002C2211yescharacteristic
134#15689002C2211yescharacteristic
135#15689002C2211yescharacteristic
136#15689002C2211yescharacteristic
137#15689000C2211yescharacteristic
138#15689000C2211yescharacteristic
139#15689000C2211yescharacteristic
140#15689000C2211yescharacteristic
141#15689000C2211yescharacteristic
142#15689000C2211yescharacteristic
143#15689000C2211yescharacteristic, complemented
144#15689000C2211yescharacteristic, complemented
145#15688998C2211yescharacteristic, complemented
146#15688998C2211yescharacteristic, complemented
147#15688996C2211yescharacteristic, complemented
148#15688996C2211yescharacteristic, complemented
149#15688995C2211yescharacteristic
150#15688995C2211yescharacteristic
151#15688995C2211yescharacteristic
152#15688995C2211yescharacteristic, complemented
153#15688990C2211yescharacteristic, complemented
154#15688990C2211yescharacteristic, complemented
155#15688987C2211yescharacteristic, complemented
156#15688987C2211yescharacteristic, complemented
157#15688984C2211yescharacteristic
158#15688984C2211yescharacteristic
159#15688984C2211yescharacteristic, complemented
160#15688983C2211yescharacteristic, complemented
161#15688981C2211yescharacteristic, complemented
162#15688981C2211yescharacteristic, complemented
163#15688979C2211yescharacteristic
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic, complemented
170C2×C47⋊#95C2211yescharacteristic, complemented
171C2×C47⋊#95C2211yescharacteristic, complemented
172C2×#123×C47C2211yescharacteristic, complemented
173C2×#120×C47C2211yescharacteristic
174C22×C22⋊C4×C47C2211yescharacteristic
175C22×C22⋊C4×C47C2211yescharacteristic
176C47×#397C2211yescharacteristic
177C47×#397C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#394C2211yescharacteristic
180C47×#386C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic, complemented
183C47×#385C2211yescharacteristic, complemented
184C47×#381C2211yescharacteristic, complemented
185C47×#380C2211yescharacteristic, complemented
186C47×#380C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C22×Dic94C2311yescharacteristic
189C22×C22⋊D47—24no—
190C22×C22⋊D47—42no—
191C22×C22⋊D47—42no—
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204#13094019—42no—
205#13094010—42no—
206#13094007—42no—
207#13094007—42no—
208#13094003—42no—
209#13094001—42no—
210#13093996—42no—
211#13093996—42no—
212#13093992—42no—
213D4×Dic47—42no—
214C2×C4⋊Dic47—42no—
215C2×C4⋊Dic47C2311yescharacteristic
216C2×C4⋊Dic47C2311yescharacteristic
217C2×C4⋊Dic47C2311yescharacteristic
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
237C2×C22⋊Dic47—42no—
238C2×C22⋊Dic47—42no—
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×(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×C4×Dic47—42no—
281C2×C4×Dic47C2311yescharacteristic
282C2×C4×Dic47C2311yescharacteristic
283C2×C4×Dic47C2311yescharacteristic
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
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
324C25×C47C2311yescharacteristic
325C22×D4×C47C2311yescharacteristic
326C22×D4×C47C2311yescharacteristic
327C22×D4×C47C2311yescharacteristic
328C23×C4×C47C2311yescharacteristic
329C23×C4×C47C2311yescharacteristic
330C23×C4×C47C2311yescharacteristic
331C23×C4×C47C2311yescharacteristic
332#123×C47—42no—
333#120×C47—24no—
334C2×C4⋊C4×C47C2311yescharacteristic
335C2×C4⋊C4×C47C2311yescharacteristic
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47—24no—
339C2×C22⋊C4×C47—42no—
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
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×C47—22no—
364C24×C47—22no—
365C24×C47—41no—
366C24×C47—41no—
367C24×C47—41no—
368C24×C47—41no—
369C24×C47#4114yes—
370C24×C47C2411yescharacteristic
371C24×C47C2411yescharacteristic
372C24×C47C2411yescharacteristic
373C24×C47C2411yescharacteristic
374C23×D47—22no—
375C23×D47—41no—
376C23×D47—41no—
377C23×D47—41no—
378C23×D47—41no—
379C23×D47—41no—
380C23×D47—41no—
381C23×D47C2411yescharacteristic
382C23×D47C2411yescharacteristic
383C2×D4×C47—22no—
384C2×D4×C47—22no—
385C2×D4×C47—22no—
386C2×D4×C47—22no—
387C2×D4×C47—22no—
388C2×D4×C47—41no—
389C2×D4×C47—41no—
390C2×D4×C47—41no—
391C2×D4×C47—41no—
392C22×C4×C47—22no—
393C22×C4×C47—22no—
394C22×C4×C47—22no—
395C22×C4×C47—22no—
396C22×C4×C47—41no—
397C22×C4×C47—41no—
398C22×C4×C47—41no—
399C22×C4×C47—41no—
400C22×C4×C47—41no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C2×C22⋊D47—22no—
416C2×C22⋊D47—22no—
417C2×C22⋊D47—22no—
418C2×C22⋊D47—22no—
419C2×C22⋊D47—22no—
420C2×C22⋊D47—22no—
421C2×C22⋊D47—22no—
422C2×C22⋊D47—22no—
423C2×C22⋊D47—22no—
424C2×C22⋊D47—41no—
425C2×C22⋊D47—41no—
426C2×C22⋊D47—41no—
427C2×C22⋊D47—41no—
428C2×C22⋊D47—41no—
429C2×C22⋊D47—41no—
430C2×C22⋊D47—41no—
431C2×C22⋊D47—41no—
432C2×C22⋊D47—41no—
433C2×C22⋊D47—416no—
434C22×Dic47—22no—
435C22×Dic47—22no—
436C22×Dic47—22no—
437C22×Dic47—22no—
438C22×Dic47—22no—
439C22×Dic47—22no—
440C22×Dic47—41no—
441C22×Dic47—41no—
442C22×Dic47—41no—
443C22×Dic47—41no—
444C22×Dic47—41no—
445C22×Dic47—41no—
446C22×Dic47—41no—
447C22×Dic47—41no—
448C22×Dic47—41no—
449C22×Dic47—41no—
450C22×Dic47—41no—
451C22×Dic47—41no—
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C2×Dic94—22no—
467C2×Dic94—41no—
468C2×Dic94—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—22no—
477C22⋊C4×C47—22no—
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⋊Dic47—22no—
489C22⋊Dic47—22no—
490C22⋊Dic47—22no—
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—
500C22⋊Dic47—41no—
501C22⋊Dic47—41no—
502C22⋊Dic47—41no—
503C22⋊Dic47—41no—
504C22⋊Dic47—41no—
505C22⋊Dic47—41no—
506C22⋊Dic47—41no—
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—
528(C2×D47)⋊C4—41no—
529C4⋊Dic47—41no—
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—
550Dic47⋊C4—41no—
551C4×Dic47—22no—
552C4×Dic47—22no—
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—28no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—44no—
583C23×C47—44no—
584C23×C47—82no—
585C23×C47—82no—
586C23×C47—82no—
587C23×C47—82no—
588C23×C47C2×#4112yes—
589C23×C47C2×#4112yes—
590C23×C47C2×#4112yes—
591C23×C47H(5,𝔽2)12yes—
592C23×C47H(5,𝔽2)12yes—
593C23×C47C2511yescharacteristic
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—21no—
600C22×D47—21no—
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—44no—
609C22×D47—82no—
610C22×D47—82no—
611C22×D47—82no—
612C22×D47—82no—
613C22×D47—82no—
614C22×D47—82no—
615D4×C47—44no—
616D4×C47—82no—
617D4×C47—82no—
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—44no—
652C2×C4×C47—44no—
653C2×C4×C47—82no—
654C2×C4×C47—82no—
655C22⋊D47—44no—
656C22⋊D47—44no—
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—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—44no—
703C2×Dic47—44no—
704C2×Dic47—44no—
705C2×Dic47—82no—
706C2×Dic47—82no—
707C2×Dic47—82no—
708C2×Dic47H(5,𝔽2)12yes—
709Dic94—82no—
710#36779—471nomaximal, Sylow
711C22×C47—22no—
712C22×C47—22no—
713C22×C47—22no—
714C22×C47—22no—
715C22×C47—22no—
716C22×C47—22no—
717C22×C47—22no—
718C22×C47—22no—
719C22×C47—22no—
720C22×C47—22no—
721C22×C47—22no—
722C22×C47—22no—
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×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47—88no—
739C22×C47#53814yes—
740C22×C47C22×#4111yescharacteristic
741C22×C47C2×H(5,𝔽2)11yescharacteristic
742C22×C47C2×H(5,𝔽2)11yescharacteristic
743C22×C47C2×H(5,𝔽2)11yescharacteristic
744C22×C47#58511yescharacteristic
745C22×C47#58511yescharacteristic
746C22×C47#58511yescharacteristic
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—41no—
760C2×D47—41no—
761C2×D47—88no—
762C4×C47—41no—
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—
773Dic47—22no—
774Dic47—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#2702—471no—
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#2412D4711yescharacteristic, complemented
813#2410—471no—
814#2405—471no—
815#2321—471no—
816#2308—471no—
817C2×#388—471no—
818C2×C47—24no—
819C2×C47—42no—
820C2×C47—42no—
821C2×C47—81no—
822C2×C47C2×#53811yescharacteristic
823C2×C47#349111yescharacteristic
824C2×C47#350511yescharacteristic
825C2×C47#353411yescharacteristic
826C2×C47#354211yescharacteristic
827C2×C47#354511yescharacteristic
828C2×C47#356011yescharacteristic
829D47—81no—
830D47—81no—
831C23×D4—471no—
832C2×#126—471no—
833C2×#124—471no—
834C2×#123—471no—
835C2×#123—471no—
836C2×#123C2×D4711yescharacteristic, complemented
837C2×C22⋊Q8—471no—
838C2×C22⋊Q8—471no—
839C2×#121—471no—
840C2×#121—471no—
841C2×#120—471no—
842C2×#120C2×D4711yescharacteristic
843C2×C4×D4—471no—
844C22×C4⋊C4—471no—
845C22×C22⋊C4—471no—
846C22×C22⋊C4—471no—
847C22×C22⋊C4C2×D4711yescharacteristic
848C22×C22⋊C4C2×D4711yescharacteristic
849C22×C42—471no—
850#401—471no—
851#400—471no—
852#400—471no—
853#400—471no—
854#400—471no—
855#400—471no—
856#400—471no—
857#399—471no—
858#399—471no—
859#399—471no—
860#398—471no—
861#398—471no—
862#398—471no—
863#398—471no—
864#398—471no—
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#397C2×D4711yescharacteristic
874#397C2×D4711yescharacteristic
875#396—471no—
876#396—471no—
877#396—471no—
878#396—471no—
879#396—471no—
880#396—471no—
881#396—471no—
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#393—471no—
896#392—471no—
897#392—471no—
898#391—471no—
899#391—471no—
900#390—471no—
901#390—471no—
902#390—471no—
903#389—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#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#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#386C2×D4711yescharacteristic, complemented
953#386C2×D4711yescharacteristic, complemented
954#386C2×D4711yescharacteristic, complemented
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#385C2×D4711yescharacteristic, complemented
964#383—471no—
965#383—471no—
966#382—471no—
967#382—471no—
968#381—471no—
969#381—471no—
970#381—471no—
971#381C2×D4711yescharacteristic, complemented
972#380—471no—
973#380—471no—
974#380—471no—
975#380C2×D4711yescharacteristic, complemented
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—
988C25C22×D4711yescharacteristic
989C22×Q8—471no—
990C22×D4—471no—
991C22×D4—471no—
992C22×D4—471no—
993C22×D4—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—944no—
997C22×D4—1882no—
998C22×D4—1882no—
999C22×D4C22×D4711yescharacteristic
1000C22×D4C22×D4711yescharacteristic
1001C22×D4C22×D4711yescharacteristic
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4C22×D4711yescharacteristic
1009C23×C4C22×D4711yescharacteristic
1010C23×C4C22×D4711yescharacteristic
1011C23×C4C22×D4711yescharacteristic
1012#126—1882no—
1013#124—1882no—
1014#123—42no—
1015#123—1882no—
1016#123—1882no—
1017C22⋊Q8—1882no—
1018C22⋊Q8—1882no—
1019#121—1882no—
1020#121—1882no—
1021#120—24no—
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—471no—
1042C2×C4⋊C4—471no—
1043C2×C4⋊C4—471no—
1044C2×C4⋊C4—471no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—1882no—
1047C2×C4⋊C4C22×D4711yescharacteristic
1048C2×C4⋊C4C22×D4711yescharacteristic
1049C2×C4⋊C4C22×D4711yescharacteristic
1050C2×C4⋊C4C22×D4711yescharacteristic
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—42no—
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—1882no—
1095C2×C22⋊C4—1882no—
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×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—471no—
1117C2×C42—471no—
1118C2×C42—1882no—
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#95—471no—
1154#95—471no—
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—22no—
1164C24—22no—
1165C24—41no—
1166C24—41no—
1167C24—41no—
1168C24—41no—
1169C24—471no—
1170C24—471no—
1171C24—942no—
1172C24—1881no—
1173C24—1881no—
1174C24—1881no—
1175C24—1881no—
1176C24—1881no—
1177C24—1881no—
1178C24#1062535214yes—
1179C24C23×D4711yescharacteristic
1180C24C23×D4711yescharacteristic
1181C24C23×D4711yescharacteristic
1182C24C23×D4711yescharacteristic
1183C2×Q8—942no—
1184C2×Q8—1881no—
1185C2×Q8—1881no—
1186C2×D4—22no—
1187C2×D4—22no—
1188C2×D4—22no—
1189C2×D4—22no—
1190C2×D4—22no—
1191C2×D4—41no—
1192C2×D4—41no—
1193C2×D4—41no—
1194C2×D4—41no—
1195C2×D4—942no—
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—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—22no—
1215C22×C4—22no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—41no—
1222C22×C4—41no—
1223C22×C4—41no—
1224C22×C4—41no—
1225C22×C4—41no—
1226C22×C4—471no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—471no—
1230C22×C4—471no—
1231C22×C4—471no—
1232C22×C4—471no—
1233C22×C4—471no—
1234C22×C4—471no—
1235C22×C4—471no—
1236C22×C4—471no—
1237C22×C4—471no—
1238C22×C4—471no—
1239C22×C4—471no—
1240C22×C4—942no—
1241C22×C4—942no—
1242C22×C4—942no—
1243C22×C4—942no—
1244C22×C4—942no—
1245C22×C4—942no—
1246C22×C4—1881no—
1247C22×C4—1881no—
1248C22×C4—1881no—
1249C22×C4—1881no—
1250C22×C4—1881no—
1251C22×C4—1881no—
1252C22×C4—1881no—
1253C22×C4—1881no—
1254C22×C4—1881no—
1255C22×C4—1881no—
1256C22×C4—1881no—
1257C22×C4—1881no—
1258C22×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—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—942no—
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—
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—22no—
1300C22⋊C4—22no—
1301C22⋊C4—22no—
1302C22⋊C4—22no—
1303C22⋊C4—22no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
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—
1344C22⋊C4—1881no—
1345C22⋊C4—1881no—
1346C22⋊C4—1881no—
1347C22⋊C4—1881no—
1348C22⋊C4—1881no—
1349C22⋊C4—1881no—
1350C22⋊C4—1881no—
1351C42—942no—
1352C42—942no—
1353C42—1881no—
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—21no—
1372C23—21no—
1373C23—21no—
1374C23—28no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—44no—
1383C23—44no—
1384C23—82no—
1385C23—82no—
1386C23—82no—
1387C23—82no—
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—941no—
1401C23—941no—
1402C23—3762no—
1403C23—3762no—
1404C23—3762no—
1405C23—3762no—
1406C23—3762no—
1407C23—3762no—
1408C23—1884no—
1409C23C2×#1062535212yes—
1410C23C2×#1062535212yes—
1411C23C2×#1062535212yes—
1412C23#1309406912yes—
1413C23#1309407012yes—
1414C23C24×D4711yescharacteristic
1415Q8—3762no—
1416D4—44no—
1417D4—82no—
1418D4—82no—
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—44no—
1459C2×C4—44no—
1460C2×C4—82no—
1461C2×C4—82no—
1462C2×C4—472no—
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—941no—
1493C2×C4—941no—
1494C2×C4—941no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—3762no—
1505C2×C4—3762no—
1506C2×C4—3762no—
1507C2×C4—1884no—
1508C2×C4—1884no—
1509C2×C4—1884no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—22no—
1514C22—22no—
1515C22—22no—
1516C22—22no—
1517C22—22no—
1518C22—22no—
1519C22—22no—
1520C22—22no—
1521C22—22no—
1522C22—41no—
1523C22—41no—
1524C22—41no—
1525C22—41no—
1526C22—41no—
1527C22—41no—
1528C22—41no—
1529C22—41no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—88no—
1538C22—3768no—
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#1568971014yes—
1554C22C22×#1062535211yescharacteristic
1555C22H(5,𝔽2)×D4711yescharacteristic
1556C22C2×#1309406911yescharacteristic
1557C22C2×#1309407011yescharacteristic
1558C22#1568995811yescharacteristic
1559C22#1568995911yescharacteristic
1560C22#1568995911yescharacteristic
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—942no—
1573C4—1881no—
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—24no—
1587C2—42no—
1588C2—42no—
1589C2—81no—
1590C2—3761no—
1591C2—3761no—
1592C2C2×#1568971011yescharacteristic
1593C2#2025708411yescharacteristic
1594C2#2025722511yescharacteristic
1595C2#2025757311yescharacteristic
1596C2#2025769711yescharacteristic
1597C2#2025774411yescharacteristic
1598C2#2025793211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2412C2
prime radical#20246763C2
hypercenter#2412D47
hypocenterC47#36779
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2412

Complements

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

NH ≅ G/Ntype
1. #20251705C2semidirect
2. #20251685C2semidirect
3. #20251052C2semidirect
4. #20251052C2semidirect
5. #20251007C2semidirect
6. #20250825C2semidirect
7. #20250815C2semidirect
8. #20250777C2semidirect
9. #20250704C2semidirect
10. #20250605C2semidirect
11. #20250529C2semidirect
12. #20250503C2semidirect
13. #20250428C2semidirect
14. #20250423C2semidirect
15. #20250386C2semidirect
16. #20250016C2semidirect
17. #20249778C2semidirect
18. #20249763C2semidirect
19. #20249171C2semidirect
20. #20249134C2semidirect
21. #20247954C2semidirect
22. #20247710C2semidirect
23. #20247136C2semidirect
24. #20247049C2semidirect
25. #20246943C2semidirect
27. #20246715C2semidirect
28. #20246049C2semidirect
29. #20245963C2semidirect
30. C2×#15689016C2semidirect
31. C47×#2412C2semidirect
33. C2×#13094019C22semidirect
34. C2×#13094010C22semidirect
37. C2×#13094003C22semidirect
38. C2×#13094001C22semidirect
42. C2×D4×Dic47C22semidirect
43. C22×C4⋊Dic47C22semidirect
46. C22×C4×Dic47C22semidirect
47. C47⋊#401C22semidirect
48. #15689065C22semidirect
49. #15689064C22semidirect
50. #15689063C22semidirect
51. #15689063C22semidirect
52. #15689063C22semidirect
53. #15689061C22semidirect
54. #15689060C22semidirect
55. #15689060C22semidirect
57. #15689056C22semidirect
58. #15689056C22semidirect
59. #15689056C22semidirect
60. #15689055C22semidirect
61. #15689055C22semidirect
62. #15689052C22semidirect
63. #15689052C22semidirect
64. #15689051C22semidirect
65. #15689050C22semidirect
66. #15689050C22semidirect
67. #15689050C22semidirect
68. #15689049C22semidirect
69. #15689048C22semidirect
72. #15689046C22semidirect
73. #15689046C22semidirect
74. #15689045C22semidirect
75. #15689045C22semidirect
76. #15689045C22semidirect
77. #15689039C22semidirect
78. #15689039C22semidirect
79. #15689039C22semidirect
86. #15689038C22semidirect
87. #15689036C22semidirect
91. #15689027C22semidirect
92. #15689027C22semidirect
94. #15689026C22semidirect
95. #15689023C22semidirect
96. #15689018C22semidirect
103. #15689016C22semidirect
104. #15689016C22semidirect
105. #15689016C22semidirect
106. #15689016C22semidirect
107. #15689016C22semidirect
108. #15689016C22semidirect
109. #15689016C22semidirect
110. #15689015C22semidirect
111. #15689015C22semidirect
112. #15689015C22semidirect
113. #15689015C22semidirect
114. #15689013C22semidirect
115. #15689013C22semidirect
116. #15689013C22semidirect
117. #15689012C22semidirect
118. #15689012C22semidirect
119. #15689012C22semidirect
120. #15689012C22semidirect
121. #15689011C22semidirect
122. #15689009C22semidirect
123. #15689008C22semidirect
124. #15689006C22semidirect
125. #15689004C22semidirect
126. #15689004C22semidirect
129. #15689003C22semidirect
130. #15689003C22semidirect
143. #15689000C22semidirect
144. #15689000C22semidirect
145. #15688998C22semidirect
146. #15688998C22semidirect
147. #15688996C22semidirect
148. #15688996C22semidirect
152. #15688995C22semidirect
153. #15688990C22semidirect
154. #15688990C22semidirect
155. #15688987C22semidirect
156. #15688987C22semidirect
159. #15688984C22semidirect
160. #15688983C22semidirect
161. #15688981C22semidirect
162. #15688981C22semidirect
169. C22⋊C4×Dic47C22semidirect
170. C2×C47⋊#95C22semidirect
171. C2×C47⋊#95C22semidirect
172. C2×#123×C47C22semidirect
180. C47×#386C22semidirect
181. C47×#386C22semidirect
182. C47×#386C22semidirect
183. C47×#385C22semidirect
184. C47×#381C22semidirect
185. C47×#380C22semidirect
186. C47×#380C22semidirect
812. #2412D47semidirect
836. C2×#123C2×D47semidirect
952. #386C2×D47semidirect
953. #386C2×D47semidirect
954. #386C2×D47semidirect
963. #385C2×D47semidirect
971. #381C2×D47semidirect
975. #380C2×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
#202517052
#202516852
#202510522
#202510072
#202508252
#202508152
#202507772
#202507042
#202506052
#202505292
#202505032
#202504282
#202504232
#202503862
#202500162
#202497782
#202497632
#202491712
#202491342
#202479542
#202477102
#202471362
#202470492
#202469432
#202467632
#202467152
#202460492
#202459632
C2×#156890162
C47×#24122
#3677947