Finite Group Databasebeta

← #26424632

Subgroups — #26424632

Order 12032.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1622 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251679C211yesmaximal, characteristic, complemented
2#20251669C211yesmaximal, characteristic, complemented
3#20251036C211yesmaximal, characteristic, complemented
4#20251031C211yesmaximal, characteristic, complemented
5#20250862C211yesmaximal, characteristic, complemented
6#20250772C211yesmaximal, characteristic, complemented
7#20250662C211yesmaximal, characteristic, complemented
8#20250615C211yesmaximal, characteristic, complemented
9#20250596C211yesmaximal, characteristic, complemented
10#20250530C211yesmaximal, characteristic, complemented
11#20250455C211yesmaximal, characteristic, complemented
12#20250142C211yesmaximal, characteristic, complemented
13#20250088C211yesmaximal, characteristic, complemented
14#20250080C211yesmaximal, characteristic, complemented
15#20250005C211yesmaximal, characteristic, complemented
16#20250002C211yesmaximal, characteristic, complemented
17#20249819C211yesmaximal, characteristic, complemented
18#20249625C211yesmaximal, characteristic, complemented
19#20249172C211yesmaximal, characteristic, complemented
20#20249136C211yesmaximal, characteristic, complemented
21#20248320C211yesmaximal, characteristic, complemented
22#20248280C211yesmaximal, characteristic, complemented
23#20247113C211yesmaximal, characteristic, complemented
24#20246933C211yesmaximal, characteristic, complemented
25#20246918C211yesmaximal, characteristic, complemented
26#20246859C211yesmaximal, characteristic, complemented
27#20246844C211yesmaximal, characteristic, complemented
28#20246829C211yesmaximal, characteristic, complemented
29#20246022C211yesmaximal, characteristic, complemented
30C2×#15688997C211yesmaximal, characteristic, complemented
31C47×#2325C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094015C2211yescharacteristic, complemented
34C2×#13094008C2211yescharacteristic
35C2×#13094007C2211yescharacteristic
36C2×#13094006C2211yescharacteristic
37C2×#13094006C2211yescharacteristic
38C2×#13094005C2211yescharacteristic
39C2×#13094005C2211yescharacteristic
40C2×#13093998C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093997C2211yescharacteristic
43C2×#13093996C2211yescharacteristic
44C2×#13093996C2211yescharacteristic
45C2×#13093995C2211yescharacteristic, complemented
46C2×#13093994C2211yescharacteristic
47C2×#13093992C2211yescharacteristic
48C2×#13093992C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C22×C4⋊Dic47C2211yescharacteristic
51C22×Dic47⋊C4C2211yescharacteristic
52C22×(C2×D47)⋊C4C2211yescharacteristic
53C22×(C2×D47)⋊C4C2211yescharacteristic
54#15689065C2211yescharacteristic, complemented
55#15689065C2211yescharacteristic, complemented
56#15689064C2211yescharacteristic, complemented
57#15689064C2211yescharacteristic, complemented
58#15689061C2211yescharacteristic, complemented
59#15689059C2211yescharacteristic, complemented
60#15689059C2211yescharacteristic, complemented
61#15689058C2211yescharacteristic
62#15689058C2211yescharacteristic
63#15689058C2211yescharacteristic
64#15689057C2211yescharacteristic, complemented
65#15689057C2211yescharacteristic, complemented
66#15689057C2211yescharacteristic, complemented
67#15689057C2211yescharacteristic, complemented
68#15689055C2211yescharacteristic, complemented
69#15689055C2211yescharacteristic, complemented
70#15689054C2211yescharacteristic, complemented
71#15689053C2211yescharacteristic, complemented
72#15689051C2211yescharacteristic, complemented
73#15689051C2211yescharacteristic, complemented
74#15689051C2211yescharacteristic, complemented
75#15689051C2211yescharacteristic, complemented
76#15689049C2211yescharacteristic
77#15689048C2211yescharacteristic, complemented
78#15689047C2211yescharacteristic, complemented
79#15689047C2211yescharacteristic, complemented
80#15689046C2211yescharacteristic, complemented
81#15689046C2211yescharacteristic, complemented
82#15689046C2211yescharacteristic, complemented
83#15689046C2211yescharacteristic, complemented
84#15689045C2211yescharacteristic
85#15689045C2211yescharacteristic
86#15689045C2211yescharacteristic
87#15689045C2211yescharacteristic, complemented
88#15689040C2211yescharacteristic
89#15689040C2211yescharacteristic
90#15689040C2211yescharacteristic
91#15689039C2211yescharacteristic
92#15689039C2211yescharacteristic, complemented
93#15689039C2211yescharacteristic, complemented
94#15689039C2211yescharacteristic, complemented
95#15689038C2211yescharacteristic
96#15689038C2211yescharacteristic
97#15689038C2211yescharacteristic, complemented
98#15689038C2211yescharacteristic, complemented
99#15689032C2211yescharacteristic
100#15689031C2211yescharacteristic
101#15689031C2211yescharacteristic
102#15689026C2211yescharacteristic, complemented
103#15689025C2211yescharacteristic
104#15689023C2211yescharacteristic
105#15689023C2211yescharacteristic
106#15689023C2211yescharacteristic
107#15689023C2211yescharacteristic
108#15689022C2211yescharacteristic, complemented
109#15689021C2211yescharacteristic, complemented
110#15689019C2211yescharacteristic, complemented
111#15689019C2211yescharacteristic, complemented
112#15689015C2211yescharacteristic
113#15689015C2211yescharacteristic
114#15689014C2211yescharacteristic
115#15689014C2211yescharacteristic
116#15689014C2211yescharacteristic
117#15689014C2211yescharacteristic, complemented
118#15689012C2211yescharacteristic, complemented
119#15689012C2211yescharacteristic, complemented
120#15689007C2211yescharacteristic, complemented
121#15689007C2211yescharacteristic, complemented
122#15689005C2211yescharacteristic, complemented
123#15689005C2211yescharacteristic, complemented
124#15689003C2211yescharacteristic
125#15689003C2211yescharacteristic
126#15689002C2211yescharacteristic
127#15689002C2211yescharacteristic
128#15689002C2211yescharacteristic
129#15689002C2211yescharacteristic
130#15689002C2211yescharacteristic, complemented
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15688999C2211yescharacteristic
136#15688999C2211yescharacteristic
137#15688999C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688998C2211yescharacteristic
140#15688998C2211yescharacteristic
141#15688997C2211yescharacteristic
142#15688997C2211yescharacteristic
143#15688997C2211yescharacteristic
144#15688997C2211yescharacteristic
145#15688997C2211yescharacteristic
146#15688997C2211yescharacteristic
147#15688997C2211yescharacteristic
148#15688997C2211yescharacteristic
149#15688997C2211yescharacteristic
150#15688997C2211yescharacteristic
151#15688996C2211yescharacteristic
152#15688996C2211yescharacteristic
153#15688996C2211yescharacteristic, complemented
154#15688990C2211yescharacteristic, complemented
155#15688988C2211yescharacteristic, complemented
156#15688987C2211yescharacteristic, complemented
157#15688986C2211yescharacteristic, complemented
158#15688985C2211yescharacteristic
159#15688985C2211yescharacteristic
160#15688985C2211yescharacteristic, complemented
161#15688984C2211yescharacteristic
162#15688983C2211yescharacteristic, complemented
163#15688982C2211yescharacteristic
164#15688982C2211yescharacteristic
165#15688982C2211yescharacteristic, complemented
166#15688981C2211yescharacteristic
167#15688981C2211yescharacteristic
168#15688980C2211yescharacteristic, complemented
169#15688978C2211yescharacteristic
170C4×C22⋊Dic47C2211yescharacteristic
171C2×C47⋊#95C2211yescharacteristic
172C2×#121×C47C2211yescharacteristic
173C2×C4×D4×C47C2211yescharacteristic
174C2×C4×D4×C47C2211yescharacteristic
175C47×#388C2211yescharacteristic, complemented
176C47×#388C2211yescharacteristic, complemented
177C47×#387C2211yescharacteristic, complemented
178C47×#387C2211yescharacteristic, complemented
179C47×#386C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic, complemented
182C47×#386C2211yescharacteristic, complemented
183C47×#385C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic, complemented
185C47×#380C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
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
199C23×Dic47C2311yescharacteristic
200C22×C4×D47—42no—
201C22×C4×D47—42no—
202C22×C4×D47—42no—
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208#13094015—42no—
209#13094008—42no—
210#13094007—42no—
211#13094006—42no—
212#13094006—42no—
213#13094005—42no—
214#13094005—42no—
215#13093998—42no—
216#13093997—42no—
217#13093997—42no—
218#13093996—42no—
219#13093996—42no—
220#13093995—42no—
221#13093994—42no—
222#13093992—42no—
223#13093992—42no—
224C4×C22⋊D47—24no—
225C2×C4⋊Dic47—42no—
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×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×Dic47⋊C4—42no—
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×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×(C2×D47)⋊C4—24no—
270C2×(C2×D47)⋊C4—42no—
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×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
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
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C22×D4×C47C2311yescharacteristic
332C22×D4×C47C2311yescharacteristic
333C22×D4×C47C2311yescharacteristic
334C23×C4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337C23×C4×C47C2311yescharacteristic
338C23×C4×C47C2311yescharacteristic
339#121×C47—24no—
340C4×D4×C47—42no—
341C4×D4×C47—42no—
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C42×C47C2311yescharacteristic
358C2×C42×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47C2411yescharacteristic
370C24×C47C2411yescharacteristic
371C24×C47C2411yescharacteristic
372C23×D47—22no—
373C23×D47—22no—
374C23×D47—22no—
375C23×D47—22no—
376C23×D47—22no—
377C23×D47—41no—
378C23×D47—41no—
379C23×D47C2411yescharacteristic
380C23×D47C2411yescharacteristic
381C23×D47C2411yescharacteristic
382C2×D4×C47—22no—
383C2×D4×C47—22no—
384C2×D4×C47—22no—
385C2×D4×C47—22no—
386C2×D4×C47—22no—
387C2×D4×C47—22no—
388C2×D4×C47—22no—
389C2×D4×C47—41no—
390C2×D4×C47—41no—
391C22×C4×C47—22no—
392C22×C4×C47—22no—
393C22×C4×C47—41no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
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×C47—41no—
405C22×C4×C47#4114yes—
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
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
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—22no—
425C2×C22⋊D47—22no—
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—41no—
434C2×C22⋊D47—41no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—41no—
439C22×Dic47—22no—
440C22×Dic47—22no—
441C22×Dic47—22no—
442C22×Dic47—22no—
443C22×Dic47—22no—
444C22×Dic47—22no—
445C22×Dic47—41no—
446C22×Dic47—41no—
447C22×Dic47—41no—
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C2×D188—22no—
462C2×D188—22no—
463C2×D188—41no—
464C2×D188—41no—
465C2×D188—41no—
466C2×D188—41no—
467C2×C4×D47—22no—
468C2×C4×D47—22no—
469C2×C4×D47—22no—
470C2×C4×D47—22no—
471C2×C4×D47—22no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—416no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C4⋊C4×C47—22no—
484C4⋊C4×C47—41no—
485C4⋊C4×C47—41no—
486C4⋊C4×C47—41no—
487C4⋊C4×C47—41no—
488C22⋊C4×C47—22no—
489C22⋊C4×C47—22no—
490C22⋊C4×C47—22no—
491C22⋊C4×C47—22no—
492C22⋊C4×C47—41no—
493C22⋊C4×C47—41no—
494C22⋊C4×C47—41no—
495C22⋊C4×C47—41no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47—41no—
498C42×C47—41no—
499C42×C47—41no—
500C22⋊Dic47—22no—
501C22⋊Dic47—22no—
502C22⋊Dic47—22no—
503C22⋊Dic47—22no—
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—
513(C2×D47)⋊C4—22no—
514(C2×D47)⋊C4—22no—
515(C2×D47)⋊C4—22no—
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—41no—
523(C2×D47)⋊C4—41no—
524(C2×D47)⋊C4—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540C4⋊Dic47—22no—
541C4⋊Dic47—22no—
542C4⋊Dic47—22no—
543C4⋊Dic47—41no—
544C4⋊Dic47—41no—
545C4⋊Dic47—41no—
546C4⋊Dic47—41no—
547C4⋊Dic47—41no—
548C4⋊Dic47—41no—
549C4⋊Dic47—41no—
550Dic47⋊C4—22no—
551Dic47⋊C4—22no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4—41no—
563Dic47⋊C4—41no—
564Dic47⋊C4—41no—
565Dic47⋊C4—41no—
566Dic47⋊C4—41no—
567Dic47⋊C4—41no—
568Dic47⋊C4—41no—
569C4×Dic47—22no—
570C4×Dic47—41no—
571C4×Dic47—41no—
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×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47C2×#4112yes—
591C23×C47H(5,𝔽2)12yes—
592C23×C47H(5,𝔽2)12yes—
593C23×C47C2511yescharacteristic
594C22×D47—28no—
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—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—44no—
615C22×D47—44no—
616C22×D47—44no—
617C22×D47—44no—
618C22×D47—44no—
619C22×D47—44no—
620C22×D47H(5,𝔽2)12yes—
621C22×D472−1+412yes—
622D4×C47—44no—
623D4×C47—44no—
624D4×C47—82no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—44no—
660C2×C4×C47—44no—
661C2×C4×C47—82no—
662C2×C4×C47—82no—
663C2×C4×C47—82no—
664C2×C4×C47C2×#4112yes—
665C2×C4×C47C2×#4112yes—
666C22⋊D47—44no—
667C22⋊D47—82no—
668C22⋊D47—82no—
669C22⋊D47—82no—
670C22⋊D47—82no—
671C22⋊D47—82no—
672C22⋊D47—82no—
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—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—44no—
712C2×Dic47—44no—
713C2×Dic47—82no—
714C2×Dic47H(5,𝔽2)12yes—
715D188—82no—
716D188—82no—
717C4×D47—44no—
718C4×D47—44no—
719C4×D47—44no—
720C4×D47—44no—
721C4×D47—82no—
722#36777—471nomaximal, Sylow
723C22×C47—22no—
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—22no—
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—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47#54014yes—
744C22×C47C22×#4111yescharacteristic
745C22×C47C2×H(5,𝔽2)11yescharacteristic
746C22×C47C2×H(5,𝔽2)11yescharacteristic
747C22×C47C2×H(5,𝔽2)11yescharacteristic
748C22×C47C2×H(5,𝔽2)11yescharacteristic
749C22×C47C2×2−1+411yescharacteristic
750C22×C47#58511yescharacteristic
751C2×D47—22no—
752C2×D47—22no—
753C2×D47—22no—
754C2×D47—22no—
755C2×D47—22no—
756C2×D47—22no—
757C2×D47—416no—
758C2×D47—41no—
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—41no—
773C4×C47—22no—
774C4×C47—22no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785Dic47—22no—
786Dic47—41no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798#2849—471no—
799#2847—471no—
800#2780—471no—
801#2780—471no—
802#2768—471no—
803#2761—471no—
804#2753—471no—
805#2749—471no—
806#2748—471no—
807#2743—471no—
808#2738—471no—
809#2711—471no—
810#2707—471no—
811#2706—471no—
812#2701—471no—
813#2701—471no—
814#2688—471no—
815#2671—471no—
816#2623—471no—
817#2618—471no—
818#2539—471no—
819#2534—471no—
820#2442—471no—
821#2425—471no—
822#2424—471no—
823#2419—471no—
824#2418—471no—
825#2416—471no—
826#2325D4711yescharacteristic, complemented
827#2318—471no—
828C2×#385—471no—
829C2×C47—24no—
830C2×C47—81no—
831C2×C47—81no—
832C2×C47C2×#54011yescharacteristic
833C2×C47#349211yescharacteristic
834C2×C47#350511yescharacteristic
835C2×C47#353211yescharacteristic
836C2×C47#353411yescharacteristic
837C2×C47#353511yescharacteristic
838C2×C47#353611yescharacteristic
839D47—42no—
840D47—42no—
841D47—81no—
842C24×C4—471no—
843C2×#125—471no—
844C2×#123—471no—
845C2×#123—471no—
846C2×#123—471no—
847C2×#123—471no—
848C2×#123—471no—
849C2×#123—471no—
850C2×#121—471no—
851C2×#121—471no—
852C2×#121—471no—
853C2×#121—471no—
854C2×#121—471no—
855C2×#121—471no—
856C2×#121C2×D4711yescharacteristic
857C2×#120—471no—
858C2×#120—471no—
859C2×#120—471no—
860C2×C4×D4—471no—
861C2×C4×D4C2×D4711yescharacteristic
862C2×C4×D4C2×D4711yescharacteristic
863C22×C4⋊C4—471no—
864C22×C4⋊C4—471no—
865C22×C22⋊C4—471no—
866C22×C22⋊C4—471no—
867#400—471no—
868#400—471no—
869#400—471no—
870#400—471no—
871#400—471no—
872#399—471no—
873#399—471no—
874#399—471no—
875#399—471no—
876#399—471no—
877#398—471no—
878#398—471no—
879#398—471no—
880#398—471no—
881#398—471no—
882#398—471no—
883#398—471no—
884#398—471no—
885#397—471no—
886#397—471no—
887#397—471no—
888#397—471no—
889#397—471no—
890#397—471no—
891#396—471no—
892#396—471no—
893#396—471no—
894#396—471no—
895#396—471no—
896#396—471no—
897#396—471no—
898#396—471no—
899#396—471no—
900#396—471no—
901#394—471no—
902#394—471no—
903#394—471no—
904#394—471no—
905#394—471no—
906#394—471no—
907#394—471no—
908#394—471no—
909#394—471no—
910#394—471no—
911#394—471no—
912#392—471no—
913#392—471no—
914#392—471no—
915#390—471no—
916#390—471no—
917#390—471no—
918#390—471no—
919#390—471no—
920#390—471no—
921#389—471no—
922#389—471no—
923#389—471no—
924#389—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388—471no—
929#388—471no—
930#388—471no—
931#388—471no—
932#388—471no—
933#388C2×D4711yescharacteristic, complemented
934#388C2×D4711yescharacteristic, complemented
935#387—471no—
936#387—471no—
937#387—471no—
938#387—471no—
939#387C2×D4711yescharacteristic, complemented
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#386C2×D4711yescharacteristic
957#386C2×D4711yescharacteristic
958#386C2×D4711yescharacteristic, complemented
959#386C2×D4711yescharacteristic, complemented
960#385—471no—
961#385—471no—
962#385—471no—
963#385—471no—
964#385—471no—
965#385—471no—
966#385—471no—
967#385—471no—
968#385—471no—
969#385—471no—
970#385—471no—
971#385—471no—
972#385—471no—
973#385—471no—
974#385—471no—
975#385C2×D4711yescharacteristic, complemented
976#385C2×D4711yescharacteristic, complemented
977#383—471no—
978#382—471no—
979#382—471no—
980#381—471no—
981#381—471no—
982#381—471no—
983#381—471no—
984#381—471no—
985#380—471no—
986#380—471no—
987#380—471no—
988#380—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#380C2×D4711yescharacteristic
993#379—471no—
994C4×C22⋊C4—471no—
995C2×#95—471no—
996C2×#95C2×D4711yescharacteristic
997C47#3677711yescharacteristic, complemented, Sylow
998C25—471no—
999C22×D4—471no—
1000C22×D4—471no—
1001C22×D4—471no—
1002C22×D4—471no—
1003C22×D4—471no—
1004C22×D4—471no—
1005C22×D4—471no—
1006C22×D4—471no—
1007C22×D4—471no—
1008C22×D4C22×D4711yescharacteristic
1009C22×D4C22×D4711yescharacteristic
1010C22×D4C22×D4711yescharacteristic
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—1882no—
1020C23×C4—1882no—
1021C23×C4—1882no—
1022C23×C4C22×D4711yescharacteristic
1023C23×C4C22×D4711yescharacteristic
1024C23×C4C22×D4711yescharacteristic
1025C23×C4C22×D4711yescharacteristic
1026C23×C4C22×D4711yescharacteristic
1027#125—1882no—
1028#123—1882no—
1029#123—1882no—
1030#123—1882no—
1031#123—1882no—
1032#123—1882no—
1033#123—1882no—
1034#121—24no—
1035#121—1882no—
1036#121—1882no—
1037#121—1882no—
1038#121—1882no—
1039#121—1882no—
1040#121—1882no—
1041#120—1882no—
1042#120—1882no—
1043#120—1882no—
1044C4×D4—42no—
1045C4×D4—42no—
1046C4×D4—944no—
1047C2×C4⋊C4—471no—
1048C2×C4⋊C4—471no—
1049C2×C4⋊C4—471no—
1050C2×C4⋊C4—471no—
1051C2×C4⋊C4—471no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—1882no—
1077C2×C4⋊C4—1882no—
1078C2×C4⋊C4C22×D4711yescharacteristic
1079C2×C4⋊C4C22×D4711yescharacteristic
1080C2×C4⋊C4C22×D4711yescharacteristic
1081C2×C4⋊C4C22×D4711yescharacteristic
1082C2×C4⋊C4C22×D4711yescharacteristic
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—944no—
1124C2×C22⋊C4—1882no—
1125C2×C22⋊C4C22×D4711yescharacteristic
1126C2×C22⋊C4C22×D4711yescharacteristic
1127C2×C22⋊C4C22×D4711yescharacteristic
1128C2×C22⋊C4C22×D4711yescharacteristic
1129C2×C22⋊C4C22×D4711yescharacteristic
1130C2×C22⋊C4C22×D4711yescharacteristic
1131C2×C22⋊C4C22×D4711yescharacteristic
1132C2×C22⋊C4C22×D4711yescharacteristic
1133C2×C22⋊C4C22×D4711yescharacteristic
1134C2×C22⋊C4C22×D4711yescharacteristic
1135C2×C42—471no—
1136C2×C42—471no—
1137C2×C42—471no—
1138C2×C42C22×D4711yescharacteristic
1139C2×C42C22×D4711yescharacteristic
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#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95C22×D4711yescharacteristic
1171#95C22×D4711yescharacteristic
1172#95C22×D4711yescharacteristic
1173#95C22×D4711yescharacteristic
1174#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180C24—471no—
1181C24—471no—
1182C24—471no—
1183C24—942no—
1184C24—942no—
1185C24—942no—
1186C24—942no—
1187C24—942no—
1188C24—1881no—
1189C24—1881no—
1190C24C23×D4711yescharacteristic
1191C24C23×D4711yescharacteristic
1192C24C23×D4711yescharacteristic
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—22no—
1199C2×D4—22no—
1200C2×D4—41no—
1201C2×D4—41no—
1202C2×D4—942no—
1203C2×D4—942no—
1204C2×D4—942no—
1205C2×D4—942no—
1206C2×D4—942no—
1207C2×D4—942no—
1208C2×D4—942no—
1209C2×D4—942no—
1210C2×D4—942no—
1211C2×D4—942no—
1212C2×D4—1881no—
1213C2×D4—1881no—
1214C2×D4—1881no—
1215C2×D4—1881no—
1216C2×D4—1881no—
1217C2×D4—1881no—
1218C2×D4—1881no—
1219C2×D4—1881no—
1220C2×D4—1881no—
1221C2×D4—1881no—
1222C2×D4—1881no—
1223C2×D4—1881no—
1224C2×D4—1881no—
1225C2×D4—1881no—
1226C2×D4—1881no—
1227C2×D4—1881no—
1228C2×D4—1881no—
1229C22×C4—22no—
1230C22×C4—22no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—471no—
1244C22×C4—471no—
1245C22×C4—471no—
1246C22×C4—471no—
1247C22×C4—471no—
1248C22×C4—471no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—471no—
1252C22×C4—471no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—942no—
1257C22×C4—942no—
1258C22×C4—942no—
1259C22×C4—942no—
1260C22×C4—942no—
1261C22×C4—942no—
1262C22×C4—942no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—1881no—
1268C22×C4—1881no—
1269C22×C4—1881no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—18816no—
1278C22×C4—1881no—
1279C22×C4—1881no—
1280C22×C4—1881no—
1281C22×C4#1062535014yes—
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C22×C4C23×D4711yescharacteristic
1290C22×C4C23×D4711yescharacteristic
1291C22×C4C23×D4711yescharacteristic
1292C22×C4C23×D4711yescharacteristic
1293C22×C4C23×D4711yescharacteristic
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—942no—
1300C4⋊C4—942no—
1301C4⋊C4—942no—
1302C4⋊C4—942no—
1303C4⋊C4—942no—
1304C4⋊C4—1881no—
1305C4⋊C4—1881no—
1306C4⋊C4—1881no—
1307C4⋊C4—1881no—
1308C4⋊C4—1881no—
1309C4⋊C4—1881no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
1314C4⋊C4—1881no—
1315C4⋊C4—1881no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4—1881no—
1319C4⋊C4—1881no—
1320C4⋊C4—1881no—
1321C4⋊C4—1881no—
1322C4⋊C4—1881no—
1323C4⋊C4—1881no—
1324C4⋊C4—1881no—
1325C4⋊C4—1881no—
1326C4⋊C4—1881no—
1327C4⋊C4—1881no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—942no—
1339C22⋊C4—942no—
1340C22⋊C4—942no—
1341C22⋊C4—942no—
1342C22⋊C4—942no—
1343C22⋊C4—942no—
1344C22⋊C4—942no—
1345C22⋊C4—942no—
1346C22⋊C4—942no—
1347C22⋊C4—942no—
1348C22⋊C4—942no—
1349C22⋊C4—942no—
1350C22⋊C4—942no—
1351C22⋊C4—1881no—
1352C22⋊C4—1881no—
1353C22⋊C4—1881no—
1354C22⋊C4—1881no—
1355C22⋊C4—1881no—
1356C22⋊C4—1881no—
1357C22⋊C4—1881no—
1358C22⋊C4—1881no—
1359C22⋊C4—1881no—
1360C22⋊C4—1881no—
1361C22⋊C4—1881no—
1362C22⋊C4—1881no—
1363C22⋊C4—1881no—
1364C22⋊C4—1881no—
1365C22⋊C4—1881no—
1366C22⋊C4—1881no—
1367C22⋊C4—1881no—
1368C22⋊C4—1881no—
1369C22⋊C4—1881no—
1370C22⋊C4—1881no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C22⋊C4—1881no—
1374C22⋊C4—1881no—
1375C22⋊C4—1881no—
1376C22⋊C4—1881no—
1377C22⋊C4—1881no—
1378C42—41no—
1379C42—41no—
1380C42—942no—
1381C42—1881no—
1382C42—1881no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—472no—
1402C23—472no—
1403C23—948no—
1404C23—941no—
1405C23—941no—
1406C23—941no—
1407C23—941no—
1408C23—941no—
1409C23—941no—
1410C23—941no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—1884no—
1424C23—1884no—
1425C23—1884no—
1426C23—1884no—
1427C23—1884no—
1428C23—1884no—
1429C23C2×#1062535012yes—
1430C23#1309406912yes—
1431C23#1309407012yes—
1432C23C24×D4711yescharacteristic
1433D4—44no—
1434D4—44no—
1435D4—82no—
1436D4—3762no—
1437D4—3762no—
1438D4—3762no—
1439D4—3762no—
1440D4—3762no—
1441D4—3762no—
1442D4—3762no—
1443D4—3762no—
1444D4—1884no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—82no—
1482C2×C4—82no—
1483C2×C4—82no—
1484C2×C4—472no—
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—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—3762no—
1524C2×C4—3762no—
1525C2×C4—1884no—
1526C2×C4—1884no—
1527C2×C4—1884no—
1528C2×C4—1884no—
1529C2×C4—1884no—
1530C2×C4—1884no—
1531C2×C4C2×#1062535012yes—
1532C2×C4C2×#1062535012yes—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—942no—
1554C22—942no—
1555C22—942no—
1556C22—942no—
1557C22—942no—
1558C22—942no—
1559C22—18816no—
1560C22—1881no—
1561C22—1881no—
1562C22—1881no—
1563C22—1881no—
1564C22—1881no—
1565C22—1881no—
1566C22—1881no—
1567C22—1881no—
1568C22—1881no—
1569C22—1881no—
1570C22—1881no—
1571C22—1881no—
1572C22—1881no—
1573C22—1881no—
1574C22—1881no—
1575C22#1568972414yes—
1576C22C22×#1062535011yescharacteristic
1577C22H(5,𝔽2)×D4711yescharacteristic
1578C22H(5,𝔽2)×D4711yescharacteristic
1579C22C2×#1309406911yescharacteristic
1580C22C2×#1309407011yescharacteristic
1581C222−1+4×D4711yescharacteristic
1582C22#1568995811yescharacteristic
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—942no—
1596C4—1881no—
1597C4—1881no—
1598C4—1881no—
1599C4—1881no—
1600C4—1881no—
1601C4—1881no—
1602C4—1881no—
1603C4—1881no—
1604C4—1881no—
1605C4—1881no—
1606C4—1881no—
1607C4—1881no—
1608C2—24no—
1609C2—81no—
1610C2—81no—
1611C2—3761no—
1612C2—1882no—
1613C2—1882no—
1614C2C2×#1568972411yescharacteristic
1615C2#2025709111yescharacteristic
1616C2#2025721811yescharacteristic
1617C2#2025753911yescharacteristic
1618C2#2025757511yescharacteristic
1619C2#2025759511yescharacteristic
1620C2#2025760511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2325C2
hypercenter#2325D47
hypocenterC47#36777
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2325

Complements

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

NH ≅ G/Ntype
1. #20251679C2semidirect
2. #20251669C2semidirect
3. #20251036C2semidirect
4. #20251031C2semidirect
5. #20250862C2semidirect
6. #20250772C2semidirect
7. #20250662C2semidirect
8. #20250615C2semidirect
9. #20250596C2semidirect
10. #20250530C2semidirect
11. #20250455C2semidirect
12. #20250142C2semidirect
13. #20250088C2semidirect
14. #20250080C2semidirect
15. #20250005C2semidirect
16. #20250002C2semidirect
17. #20249819C2semidirect
18. #20249625C2semidirect
19. #20249172C2semidirect
20. #20249136C2semidirect
21. #20248320C2semidirect
22. #20248280C2semidirect
23. #20247113C2semidirect
24. #20246933C2semidirect
25. #20246918C2semidirect
26. #20246859C2semidirect
27. #20246844C2semidirect
28. #20246829C2semidirect
29. #20246022C2semidirect
30. C2×#15688997C2semidirect
31. C47×#2325C2semidirect
33. C2×#13094015C22semidirect
45. C2×#13093995C22semidirect
54. #15689065C22semidirect
55. #15689065C22semidirect
56. #15689064C22semidirect
57. #15689064C22semidirect
58. #15689061C22semidirect
59. #15689059C22semidirect
60. #15689059C22semidirect
64. #15689057C22semidirect
65. #15689057C22semidirect
66. #15689057C22semidirect
67. #15689057C22semidirect
68. #15689055C22semidirect
69. #15689055C22semidirect
70. #15689054C22semidirect
71. #15689053C22semidirect
72. #15689051C22semidirect
73. #15689051C22semidirect
74. #15689051C22semidirect
75. #15689051C22semidirect
77. #15689048C22semidirect
78. #15689047C22semidirect
79. #15689047C22semidirect
80. #15689046C22semidirect
81. #15689046C22semidirect
82. #15689046C22semidirect
83. #15689046C22semidirect
87. #15689045C22semidirect
92. #15689039C22semidirect
93. #15689039C22semidirect
94. #15689039C22semidirect
97. #15689038C22semidirect
98. #15689038C22semidirect
102. #15689026C22semidirect
108. #15689022C22semidirect
109. #15689021C22semidirect
110. #15689019C22semidirect
111. #15689019C22semidirect
117. #15689014C22semidirect
118. #15689012C22semidirect
119. #15689012C22semidirect
120. #15689007C22semidirect
121. #15689007C22semidirect
122. #15689005C22semidirect
123. #15689005C22semidirect
130. #15689002C22semidirect
153. #15688996C22semidirect
154. #15688990C22semidirect
155. #15688988C22semidirect
156. #15688987C22semidirect
157. #15688986C22semidirect
160. #15688985C22semidirect
162. #15688983C22semidirect
165. #15688982C22semidirect
168. #15688980C22semidirect
175. C47×#388C22semidirect
176. C47×#388C22semidirect
177. C47×#387C22semidirect
178. C47×#387C22semidirect
181. C47×#386C22semidirect
182. C47×#386C22semidirect
183. C47×#385C22semidirect
184. C47×#385C22semidirect
826. #2325D47semidirect
933. #388C2×D47semidirect
934. #388C2×D47semidirect
939. #387C2×D47semidirect
940. #387C2×D47semidirect
958. #386C2×D47semidirect
959. #386C2×D47semidirect
975. #385C2×D47semidirect
976. #385C2×D47semidirect
997. C47#36777semidirect

Maximal subgroups

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

subgroupindex
#202516792
#202516692
#202510362
#202510312
#202508622
#202507722
#202506622
#202506152
#202505962
#202505302
#202504552
#202501422
#202500882
#202500802
#202500052
#202500022
#202498192
#202496252
#202491722
#202491362
#202483202
#202482802
#202471132
#202469332
#202469182
#202468592
#202468442
#202468292
#202460222
C2×#156889972
C47×#23252
#3677747