Finite Group Databasebeta

← #26425569

Subgroups — #26425569

Order 12032.

2078 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251702C211yesmaximal, characteristic, complemented
2#20251695C211yesmaximal, characteristic, complemented
3#20251223C211yesmaximal, characteristic, complemented
4#20251099C211yesmaximal, characteristic, complemented
5#20250730C211yesmaximal, characteristic, complemented
6#20250486C211yesmaximal, characteristic, complemented
7#20250449C211yesmaximal, characteristic, complemented
8#20250314C211yesmaximal, characteristic, complemented
9#20250152C211yesmaximal, characteristic, complemented
10#20250142C211yesmaximal, characteristic, complemented
11#20250091C211yesmaximal, characteristic, complemented
12#20250079C211yesmaximal, characteristic, complemented
13#20250068C211yesmaximal, characteristic, complemented
14#20250065C211yesmaximal, characteristic, complemented
15#20249904C211yesmaximal, characteristic, complemented
16#20249864C211yesmaximal, characteristic, complemented
17#20249736C211yesmaximal, characteristic, complemented
18#20249192C211yesmaximal, characteristic, complemented
19#20249160C211yesmaximal, characteristic, complemented
20#20247627C211yesmaximal, characteristic, complemented
21#20247524C211yesmaximal, characteristic, complemented
22#20247194C211yesmaximal, characteristic, complemented
23#20247048C211yesmaximal, characteristic, complemented
24#20246849C211yesmaximal, characteristic, complemented
25#20246787C211yesmaximal, characteristic, complemented
26#20246755C211yesmaximal, characteristic
27#20246712C211yesmaximal, characteristic, complemented
28#20246044C211yesmaximal, characteristic, complemented
29#20246001C211yesmaximal, characteristic, complemented
30#390×D47C211yesmaximal, characteristic, complemented
31C47×#2696C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C2×#13094017C2211yescharacteristic, complemented
34C2×#13094017C2211yescharacteristic, complemented
35C2×#13094015C2211yescharacteristic, complemented
36C2×#13094014C2211yescharacteristic, complemented
37C2×#13094007C2211yescharacteristic
38C2×#13094007C2211yescharacteristic, complemented
39C2×#13094005C2211yescharacteristic, complemented
40C2×#13094000C2211yescharacteristic
41C2×#13094000C2211yescharacteristic, complemented
42C2×#13093997C2211yescharacteristic
43C2×#13093995C2211yescharacteristic
44C2×#13093992C2211yescharacteristic
45C2×#13093992C2211yescharacteristic
46C2×C4×C22⋊D47C2211yescharacteristic
47C2×C4⋊C4×D47C2211yescharacteristic
48C22×(C2×D47)⋊C4C2211yescharacteristic
49C2×C22⋊C4×D47C2211yescharacteristic
50C2×C22⋊C4×D47C2211yescharacteristic
51C2×C22⋊C4×D47C2211yescharacteristic
52C2×C22⋊C4×D47C2211yescharacteristic
53C2×C22⋊C4×D47C2211yescharacteristic
54C2×C42×D47C2211yescharacteristic
55#15689060C2211yescharacteristic, complemented
56#15689059C2211yescharacteristic, complemented
57#15689059C2211yescharacteristic, complemented
58#15689059C2211yescharacteristic, complemented
59#15689059C2211yescharacteristic, complemented
60#15689057C2211yescharacteristic, complemented
61#15689057C2211yescharacteristic, complemented
62#15689054C2211yescharacteristic, complemented
63#15689053C2211yescharacteristic, complemented
64#15689052C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689052C2211yescharacteristic, complemented
67#15689052C2211yescharacteristic, complemented
68#15689052C2211yescharacteristic, complemented
69#15689051C2211yescharacteristic, complemented
70#15689051C2211yescharacteristic, complemented
71#15689049C2211yescharacteristic, complemented
72#15689048C2211yescharacteristic, complemented
73#15689047C2211yescharacteristic, complemented
74#15689047C2211yescharacteristic, complemented
75#15689046C2211yescharacteristic, complemented
76#15689046C2211yescharacteristic, complemented
77#15689046C2211yescharacteristic, complemented
78#15689046C2211yescharacteristic, complemented
79#15689046C2211yescharacteristic, complemented
80#15689045C2211yescharacteristic, complemented
81#15689042C2211yescharacteristic, complemented
82#15689040C2211yescharacteristic
83#15689040C2211yescharacteristic
84#15689039C2211yescharacteristic
85#15689039C2211yescharacteristic, complemented
86#15689039C2211yescharacteristic, complemented
87#15689038C2211yescharacteristic
88#15689038C2211yescharacteristic
89#15689038C2211yescharacteristic, complemented
90#15689038C2211yescharacteristic, complemented
91#15689038C2211yescharacteristic, complemented
92#15689037C2211yescharacteristic
93#15689037C2211yescharacteristic, complemented
94#15689037C2211yescharacteristic, complemented
95#15689034C2211yescharacteristic, complemented
96#15689031C2211yescharacteristic
97#15689026C2211yescharacteristic
98#15689026C2211yescharacteristic, complemented
99#15689025C2211yescharacteristic
100#15689024C2211yescharacteristic
101#15689023C2211yescharacteristic
102#15689023C2211yescharacteristic
103#15689023C2211yescharacteristic
104#15689023C2211yescharacteristic
105#15689023C2211yescharacteristic, complemented
106#15689020C2211yescharacteristic, complemented
107#15689020C2211yescharacteristic, complemented
108#15689018C2211yescharacteristic, complemented
109#15689018C2211yescharacteristic, complemented
110#15689017C2211yescharacteristic, complemented
111#15689017C2211yescharacteristic, complemented
112#15689016C2211yescharacteristic, complemented
113#15689015C2211yescharacteristic, complemented
114#15689012C2211yescharacteristic, complemented
115#15689012C2211yescharacteristic, complemented
116#15689012C2211yescharacteristic, complemented
117#15689012C2211yescharacteristic, complemented
118#15689011C2211yescharacteristic, complemented
119#15689011C2211yescharacteristic, complemented
120#15689011C2211yescharacteristic, complemented
121#15689010C2211yescharacteristic, complemented
122#15689009C2211yescharacteristic, complemented
123#15689009C2211yescharacteristic, complemented
124#15689008C2211yescharacteristic, complemented
125#15689007C2211yescharacteristic, complemented
126#15689007C2211yescharacteristic, complemented
127#15689006C2211yescharacteristic, complemented
128#15689006C2211yescharacteristic, complemented
129#15689006C2211yescharacteristic, complemented
130#15689003C2211yescharacteristic
131#15689002C2211yescharacteristic, complemented
132#15689001C2211yescharacteristic
133#15689000C2211yescharacteristic
134#15688999C2211yescharacteristic
135#15688999C2211yescharacteristic
136#15688999C2211yescharacteristic
137#15688999C2211yescharacteristic
138#15688999C2211yescharacteristic
139#15688997C2211yescharacteristic
140#15688997C2211yescharacteristic
141#15688997C2211yescharacteristic
142#15688997C2211yescharacteristic
143#15688997C2211yescharacteristic
144#15688997C2211yescharacteristic
145#15688997C2211yescharacteristic, complemented
146#15688997C2211yescharacteristic, complemented
147#15688997C2211yescharacteristic, complemented
148#15688997C2211yescharacteristic, complemented
149#15688996C2211yescharacteristic, complemented
150#15688996C2211yescharacteristic, complemented
151#15688994C2211yescharacteristic
152#15688994C2211yescharacteristic
153#15688994C2211yescharacteristic
154#15688994C2211yescharacteristic
155#15688994C2211yescharacteristic, complemented
156#15688994C2211yescharacteristic, complemented
157#15688990C2211yescharacteristic, complemented
158#15688987C2211yescharacteristic, complemented
159#15688984C2211yescharacteristic, complemented
160#15688983C2211yescharacteristic, complemented
161#15688982C2211yescharacteristic
162#15688982C2211yescharacteristic
163#15688982C2211yescharacteristic
164#15688982C2211yescharacteristic, complemented
165#15688981C2211yescharacteristic, complemented
166#15688981C2211yescharacteristic, complemented
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169#15688978C2211yescharacteristic
170#15688978C2211yescharacteristic
171#15688970C2211yescharacteristic
172C2×#123×C47C2211yescharacteristic
173C2×C22⋊Q8×C47C2211yescharacteristic, complemented
174C47×#400C2211yescharacteristic, complemented
175C47×#397C2211yescharacteristic, complemented
176C47×#394C2211yescharacteristic, complemented
177C47×#393C2211yescharacteristic, complemented
178C47×#393C2211yescharacteristic, complemented
179C47×#392C2211yescharacteristic
180C47×#390C2211yescharacteristic
181C47×#388C2211yescharacteristic, complemented
182C47×#387C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic, complemented
185C47×#386C2211yescharacteristic, complemented
186C47×#380C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C2×D4×D47—24no—
196C2×D4×D47—42no—
197C2×D4×D47—42no—
198C23×Dic47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206#13094017—42no—
207#13094017—42no—
208#13094015—42no—
209#13094014—42no—
210#13094007—42no—
211#13094007—42no—
212#13094005—42no—
213#13094000—42no—
214#13094000—42no—
215#13093997—42no—
216#13093995—42no—
217#13093992—24no—
218#13093992—42no—
219C4×C22⋊D47—42no—
220C2×C4⋊Dic47C2311yescharacteristic
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
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×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
249C4⋊C4×D47—42no—
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×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×(C2×D47)⋊C4—24no—
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(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
294C22⋊C4×D47—42no—
295C22⋊C4×D47—42no—
296C22⋊C4×D47—42no—
297C22⋊C4×D47—42no—
298C22⋊C4×D47—42no—
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C42×D47—42no—
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
331C47⋊#95C2311yescharacteristic
332C22×Q8×C47C2311yescharacteristic
333C22×D4×C47C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C22×D4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337C23×C4×C47C2311yescharacteristic
338#123×C47—42no—
339C22⋊Q8×C47—42no—
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×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×D47—41no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47—41no—
385C23×D47#4114yes—
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C2×Q8×C47—41no—
390C2×Q8×C47—41no—
391C2×Q8×C47—41no—
392C2×D4×C47—22no—
393C2×D4×C47—22no—
394C2×D4×C47—22no—
395C2×D4×C47—41no—
396C2×D4×C47—41no—
397C2×D4×C47—41no—
398C2×D4×C47—41no—
399C2×D4×C47—41no—
400C2×D4×C47—41no—
401C22×C4×C47—22no—
402C22×C4×C47—41no—
403C22×C4×C47—41no—
404C22×C4×C47—41no—
405C22×C4×C47—41no—
406C22×C4×C47—41no—
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
418C22×C4×C47C2411yescharacteristic
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—22no—
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—
434C22×Dic47—22no—
435C22×Dic47—41no—
436C22×Dic47—41no—
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450D4×D47—416no—
451C2×D188—22no—
452C2×D188—22no—
453C2×D188—41no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C4⋊C4×C47—22no—
476C4⋊C4×C47—22no—
477C4⋊C4×C47—22no—
478C4⋊C4×C47—41no—
479C4⋊C4×C47—41no—
480C22⋊C4×C47—22no—
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—
491C22⋊C4×C47—41no—
492C22⋊C4×C47—41no—
493C42×C47—41no—
494C22⋊Dic47—22no—
495C22⋊Dic47—22no—
496C22⋊Dic47—22no—
497C22⋊Dic47—22no—
498C22⋊Dic47—22no—
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—
510(C2×D47)⋊C4—22no—
511(C2×D47)⋊C4—22no—
512(C2×D47)⋊C4—22no—
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—
537C4⋊Dic47—22no—
538C4⋊Dic47—22no—
539C4⋊Dic47—22no—
540C4⋊Dic47—41no—
541C4⋊Dic47—41no—
542C4⋊Dic47—41no—
543C4⋊Dic47—41no—
544C4⋊Dic47—41no—
545Dic47⋊C4—22no—
546Dic47⋊C4—22no—
547Dic47⋊C4—22no—
548Dic47⋊C4—22no—
549Dic47⋊C4—22no—
550Dic47⋊C4—41no—
551Dic47⋊C4—41no—
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—
566C4×Dic47—22no—
567C4×Dic47—22no—
568C4×Dic47—41no—
569C4×Dic47—41no—
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×C47—21no—
591C23×C47—21no—
592C23×C47C2×#4112yes—
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—28no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—44no—
613C22×D47—44no—
614C22×D47—44no—
615C22×D47—44no—
616C22×D47—44no—
617C22×D47—82no—
618C22×D47—82no—
619C22×D47—82no—
620C22×D47—82no—
621C22×D47—82no—
622C22×D47—82no—
623C22×D47—82no—
624C22×D47—82no—
625C22×D47C2×#4112yes—
626C22×D47C2×#4112yes—
627C22×D47H(5,𝔽2)12yes—
628C22×D472−1+412yes—
629Q8×C47—82no—
630D4×C47—44no—
631D4×C47—82no—
632D4×C47—82no—
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—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—82no—
669C2×C4×C47—82no—
670C2×C4×C47H(5,𝔽2)12yes—
671C22⋊D47—44no—
672C22⋊D47—44no—
673C22⋊D47—44no—
674C22⋊D47—82no—
675C22⋊D47—82no—
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—21no—
712C2×Dic47—21no—
713C2×Dic47—82no—
714C2×Dic47H(5,𝔽2)12yes—
715C2×Dic47H(5,𝔽2)12yes—
716D188—44no—
717C4×D47—28no—
718C4×D47—44no—
719C4×D47—44no—
720C4×D47—82no—
721C4×D47—82no—
722C4×D47—82no—
723C4×D47—82no—
724#36807—471nomaximal, Sylow
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
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—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47—41no—
745C22×C47—41no—
746C22×C47C22×#4111yescharacteristic
747C22×C47C2×H(5,𝔽2)11yescharacteristic
748C22×C47C2×H(5,𝔽2)11yescharacteristic
749C22×C47C2×H(5,𝔽2)11yescharacteristic
750C22×C47C2×H(5,𝔽2)11yescharacteristic
751C22×C47C2×2−1+411yescharacteristic
752C22×C47#58511yescharacteristic
753C2×D47—22no—
754C2×D47—22no—
755C2×D47—22no—
756C2×D47—22no—
757C2×D47—22no—
758C2×D47—22no—
759C2×D47—22no—
760C2×D47—22no—
761C2×D47—22no—
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—
773C2×D47—88no—
774C2×D47—88no—
775C2×D47#53914yes—
776C4×C47—22no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788Dic47—22no—
789Dic47—22no—
790Dic47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801#2852—471no—
802#2851—471no—
803#2796—471no—
804#2786—471no—
805#2757—471no—
806#2740—471no—
807#2737—471no—
808#2723—471no—
809#2711—471no—
810#2711—471no—
811#2707—471no—
812#2706—471no—
813#2705—471no—
814#2705—471no—
815#2696D4711yescharacteristic, complemented
816#2694—471no—
817#2691—471no—
818#2681—471no—
819#2626—471no—
820#2622—471no—
821#2480—471no—
822#2473—471no—
823#2449—471no—
824#2437—471no—
825#2418—471no—
826#2412—471no—
827#2410—471no—
828#2405—471no—
829#2321—471no—
830#2315—471no—
831C2×#390—471no—
832C2×C47—42no—
833C2×C47—81no—
834C2×C47—81no—
835C2×C47C2×#53911yescharacteristic
836C2×C47#349011yescharacteristic
837C2×C47#350511yescharacteristic
838C2×C47#353611yescharacteristic
839C2×C47#354211yescharacteristic
840C2×C47#354311yescharacteristic
841C2×C47#356111yescharacteristic
842D47—24no—
843D47—42no—
844D47—81no—
845C23×D4—471no—
846C2×#126—471no—
847C2×#126—471no—
848C2×#125—471no—
849C2×#125—471no—
850C2×#123—471no—
851C2×#123—471no—
852C2×#123—471no—
853C2×#123C2×D4711yescharacteristic
854C2×C22⋊Q8—471no—
855C2×C22⋊Q8—471no—
856C2×C22⋊Q8C2×D4711yescharacteristic, complemented
857C2×#121—471no—
858C2×#121—471no—
859C2×#120—471no—
860C2×#120—471no—
861C2×C4×D4—471no—
862C22×C4⋊C4—471no—
863C22×C22⋊C4—471no—
864C22×C22⋊C4—471no—
865C22×C22⋊C4—471no—
866C22×C22⋊C4—471no—
867C22×C22⋊C4—471no—
868C22×C22⋊C4—471no—
869C22×C42—471no—
870#400C2×D4711yescharacteristic, complemented
871#399—471no—
872#399—471no—
873#399—471no—
874#399—471no—
875#399—471no—
876#398—471no—
877#398—471no—
878#398—471no—
879#398—471no—
880#397—471no—
881#397—471no—
882#397—471no—
883#397—471no—
884#397—471no—
885#397—471no—
886#397—471no—
887#397—471no—
888#397—471no—
889#397C2×D4711yescharacteristic, complemented
890#396—471no—
891#396—471no—
892#396—471no—
893#396—471no—
894#396—471no—
895#396—471no—
896#396—471no—
897#396—471no—
898#395—471no—
899#394—471no—
900#394—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#394C2×D4711yescharacteristic, complemented
913#393—471no—
914#393C2×D4711yescharacteristic, complemented
915#393C2×D4711yescharacteristic, complemented
916#392—471no—
917#392C2×D4711yescharacteristic
918#390—471no—
919#390—471no—
920#390—471no—
921#390—471no—
922#390—471no—
923#390—471no—
924#390—471no—
925#390—471no—
926#390—471no—
927#390C2×D4711yescharacteristic
928#389—471no—
929#389—471no—
930#389—471no—
931#389—471no—
932#388—471no—
933#388—471no—
934#388—471no—
935#388—471no—
936#388—471no—
937#388—471no—
938#388—471no—
939#388—471no—
940#388—471no—
941#388—471no—
942#388—471no—
943#388C2×D4711yescharacteristic, complemented
944#387—471no—
945#387—471no—
946#387—471no—
947#387—471no—
948#387—471no—
949#387—471no—
950#387—471no—
951#387—471no—
952#387—471no—
953#387C2×D4711yescharacteristic, complemented
954#386—471no—
955#386—471no—
956#386—471no—
957#386—471no—
958#386—471no—
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386C2×D4711yescharacteristic, complemented
964#386C2×D4711yescharacteristic, complemented
965#386C2×D4711yescharacteristic, complemented
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#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385—471no—
981#385—471no—
982#385—471no—
983#385—471no—
984#383—471no—
985#382—471no—
986#381—471no—
987#380—471no—
988#380—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#380—471no—
993#380—471no—
994#380C2×D4711yescharacteristic, complemented
995#379—471no—
996#379—471no—
997#379—471no—
998#379—471no—
999C4×C22⋊C4—471no—
1000C47#3680711yescharacteristic, complemented, Sylow
1001C25—471no—
1002C25—471no—
1003C22×Q8C22×D4711yescharacteristic
1004C22×D4—471no—
1005C22×D4—471no—
1006C22×D4—471no—
1007C22×D4—471no—
1008C22×D4—471no—
1009C22×D4—471no—
1010C22×D4—944no—
1011C22×D4—1882no—
1012C22×D4—1882no—
1013C22×D4C22×D4711yescharacteristic
1014C22×D4C22×D4711yescharacteristic
1015C22×D4C22×D4711yescharacteristic
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—471no—
1020C23×C4—471no—
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4C22×D4711yescharacteristic
1025C23×C4C22×D4711yescharacteristic
1026#126—1882no—
1027#126—1882no—
1028#125—1882no—
1029#125—1882no—
1030#123—42no—
1031#123—1882no—
1032#123—1882no—
1033#123—1882no—
1034C22⋊Q8—42no—
1035C22⋊Q8—1882no—
1036C22⋊Q8—1882no—
1037#121—1882no—
1038#121—1882no—
1039#120—944no—
1040#120—1882no—
1041C4×D4—1882no—
1042C2×C4⋊C4—471no—
1043C2×C4⋊C4—471no—
1044C2×C4⋊C4—471no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
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—1882no—
1072C2×C4⋊C4C22×D4711yescharacteristic
1073C2×C4⋊C4C22×D4711yescharacteristic
1074C2×C4⋊C4C22×D4711yescharacteristic
1075C2×C4⋊C4C22×D4711yescharacteristic
1076C2×C4⋊C4C22×D4711yescharacteristic
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—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—944no—
1121C2×C22⋊C4—1882no—
1122C2×C22⋊C4—1882no—
1123C2×C22⋊C4—1882no—
1124C2×C22⋊C4—1882no—
1125C2×C22⋊C4—1882no—
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×C22⋊C4C22×D4711yescharacteristic
1136C2×C22⋊C4C22×D4711yescharacteristic
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C22⋊C4C22×D4711yescharacteristic
1139C2×C42—471no—
1140C2×C42—471no—
1141C2×C42—471no—
1142C2×C42—471no—
1143C2×C42—471no—
1144C2×C42—471no—
1145C2×C42—1882no—
1146C2×C42C22×D4711yescharacteristic
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#95—471no—
1171#95—471no—
1172#95—471no—
1173#95C22×D4711yescharacteristic
1174#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
1180#95C22×D4711yescharacteristic
1181#95C22×D4711yescharacteristic
1182#95C22×D4711yescharacteristic
1183C24—471no—
1184C24—471no—
1185C24—474no—
1186C24—471no—
1187C24—942no—
1188C24—942no—
1189C24—942no—
1190C24—942no—
1191C24—942no—
1192C24—1881no—
1193C24—1881no—
1194C24—1881no—
1195C24—1881no—
1196C24—1881no—
1197C24—1881no—
1198C24—1881no—
1199C24—1881no—
1200C24C23×D4711yescharacteristic
1201C24C23×D4711yescharacteristic
1202C24C23×D4711yescharacteristic
1203C2×Q8—41no—
1204C2×Q8—41no—
1205C2×Q8—41no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—41no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—41no—
1215C2×D4—942no—
1216C2×D4—942no—
1217C2×D4—942no—
1218C2×D4—942no—
1219C2×D4—942no—
1220C2×D4—942no—
1221C2×D4—942no—
1222C2×D4—942no—
1223C2×D4—942no—
1224C2×D4—942no—
1225C2×D4—1881no—
1226C2×D4—18816no—
1227C2×D4—1881no—
1228C2×D4—1881no—
1229C2×D4—1881no—
1230C2×D4—1881no—
1231C2×D4—1881no—
1232C2×D4—1881no—
1233C2×D4—1881no—
1234C22×C4—22no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—471no—
1241C22×C4—471no—
1242C22×C4—471no—
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—942no—
1254C22×C4—942no—
1255C22×C4—942no—
1256C22×C4—942no—
1257C22×C4—942no—
1258C22×C4—942no—
1259C22×C4—942no—
1260C22×C4—942no—
1261C22×C4—942no—
1262C22×C4—1881no—
1263C22×C4—1881no—
1264C22×C4—1881no—
1265C22×C4—1881no—
1266C22×C4—1881no—
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×C4C23×D4711yescharacteristic
1278C22×C4C23×D4711yescharacteristic
1279C22×C4C23×D4711yescharacteristic
1280C22×C4C23×D4711yescharacteristic
1281C22×C4C23×D4711yescharacteristic
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—942no—
1295C4⋊C4—942no—
1296C4⋊C4—942no—
1297C4⋊C4—942no—
1298C4⋊C4—942no—
1299C4⋊C4—942no—
1300C4⋊C4—942no—
1301C4⋊C4—942no—
1302C4⋊C4—1881no—
1303C4⋊C4—1881no—
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—
1323C22⋊C4—22no—
1324C22⋊C4—41no—
1325C22⋊C4—41no—
1326C22⋊C4—41no—
1327C22⋊C4—41no—
1328C22⋊C4—41no—
1329C22⋊C4—41no—
1330C22⋊C4—41no—
1331C22⋊C4—41no—
1332C22⋊C4—41no—
1333C22⋊C4—41no—
1334C22⋊C4—41no—
1335C22⋊C4—41no—
1336C22⋊C4—942no—
1337C22⋊C4—942no—
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—942no—
1352C22⋊C4—942no—
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—
1378C22⋊C4—1881no—
1379C42—41no—
1380C42—942no—
1381C42—942no—
1382C42—1881no—
1383C42—1881no—
1384C42—1881no—
1385C42—1881no—
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—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—472no—
1407C23—472no—
1408C23—472no—
1409C23—472no—
1410C23—948no—
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—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—3762no—
1429C23—3762no—
1430C23—3762no—
1431C23—3762no—
1432C23—3762no—
1433C23—3762no—
1434C23—3762no—
1435C23—3762no—
1436C23—1884no—
1437C23—1884no—
1438C23—1884no—
1439C23—1884no—
1440C23—1884no—
1441C23#41×D4712yes—
1442C23C24×D4711yescharacteristic
1443Q8—82no—
1444D4—44no—
1445D4—82no—
1446D4—82no—
1447D4—3762no—
1448D4—3762no—
1449D4—1884no—
1450D4—1884no—
1451D4—1884no—
1452D4—1884no—
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—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—82no—
1489C2×C4—82no—
1490C2×C4—472no—
1491C2×C4—472no—
1492C2×C4—948no—
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—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—3762no—
1531C2×C4—3762no—
1532C2×C4—3762no—
1533C2×C4—3762no—
1534C2×C4—3762no—
1535C2×C4—1884no—
1536C2×C4—1884no—
1537C2×C4#1309406912yes—
1538C22—22no—
1539C22—22no—
1540C22—22no—
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—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—474no—
1560C22—942no—
1561C22—942no—
1562C22—942no—
1563C22—942no—
1564C22—942no—
1565C22—942no—
1566C22—942no—
1567C22—942no—
1568C22—942no—
1569C22—3768no—
1570C22—3768no—
1571C22—1881no—
1572C22—1881no—
1573C22—1881no—
1574C22—1881no—
1575C22—1881no—
1576C22—1881no—
1577C22—1881no—
1578C22—1881no—
1579C22—1881no—
1580C22—1881no—
1581C22—1881no—
1582C22C2×#41×D4711yescharacteristic
1583C22H(5,𝔽2)×D4711yescharacteristic
1584C22H(5,𝔽2)×D4711yescharacteristic
1585C22H(5,𝔽2)×D4711yescharacteristic
1586C22C2×#1309406911yescharacteristic
1587C222−1+4×D4711yescharacteristic
1588C22#1568995911yescharacteristic
1589C4—22no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—942no—
1602C4—942no—
1603C4—1881no—
1604C4—1881no—
1605C4—1881no—
1606C4—1881no—
1607C4—1881no—
1608C4—1881no—
1609C4—1881no—
1610C4—1881no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C2—42no—
1615C2—81no—
1616C2—81no—
1617C2—944no—
1618C2—3761no—
1619C2—1882no—
1620C2#539×D4711yescharacteristic
1621C2#2025707011yescharacteristic
1622C2#2025721911yescharacteristic
1623C2#2025760711yescharacteristic
1624C2#2025770311yescharacteristic
1625C2#2025771411yescharacteristic
1626C2#2025795111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2696C2
prime radical#20246755C2
hypercenter#2696D47
hypocenterC47#36807
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2696

Complements

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

NH ≅ G/Ntype
1. #20251702C2semidirect
2. #20251695C2semidirect
3. #20251223C2semidirect
4. #20251099C2semidirect
5. #20250730C2semidirect
6. #20250486C2semidirect
7. #20250449C2semidirect
8. #20250314C2semidirect
9. #20250152C2semidirect
10. #20250142C2semidirect
11. #20250091C2semidirect
12. #20250079C2semidirect
13. #20250068C2semidirect
14. #20250065C2semidirect
15. #20249904C2semidirect
16. #20249864C2semidirect
17. #20249736C2semidirect
18. #20249192C2semidirect
19. #20249160C2semidirect
20. #20247627C2semidirect
21. #20247524C2semidirect
22. #20247194C2semidirect
23. #20247048C2semidirect
24. #20246849C2semidirect
25. #20246787C2semidirect
27. #20246712C2semidirect
28. #20246044C2semidirect
29. #20246001C2semidirect
30. #390×D47C2semidirect
31. C47×#2696C2semidirect
33. C2×#13094017C22semidirect
34. C2×#13094017C22semidirect
35. C2×#13094015C22semidirect
36. C2×#13094014C22semidirect
38. C2×#13094007C22semidirect
39. C2×#13094005C22semidirect
41. C2×#13094000C22semidirect
55. #15689060C22semidirect
56. #15689059C22semidirect
57. #15689059C22semidirect
58. #15689059C22semidirect
59. #15689059C22semidirect
60. #15689057C22semidirect
61. #15689057C22semidirect
62. #15689054C22semidirect
63. #15689053C22semidirect
64. #15689052C22semidirect
65. #15689052C22semidirect
66. #15689052C22semidirect
67. #15689052C22semidirect
68. #15689052C22semidirect
69. #15689051C22semidirect
70. #15689051C22semidirect
71. #15689049C22semidirect
72. #15689048C22semidirect
73. #15689047C22semidirect
74. #15689047C22semidirect
75. #15689046C22semidirect
76. #15689046C22semidirect
77. #15689046C22semidirect
78. #15689046C22semidirect
79. #15689046C22semidirect
80. #15689045C22semidirect
81. #15689042C22semidirect
85. #15689039C22semidirect
86. #15689039C22semidirect
89. #15689038C22semidirect
90. #15689038C22semidirect
91. #15689038C22semidirect
93. #15689037C22semidirect
94. #15689037C22semidirect
95. #15689034C22semidirect
98. #15689026C22semidirect
105. #15689023C22semidirect
106. #15689020C22semidirect
107. #15689020C22semidirect
108. #15689018C22semidirect
109. #15689018C22semidirect
110. #15689017C22semidirect
111. #15689017C22semidirect
112. #15689016C22semidirect
113. #15689015C22semidirect
114. #15689012C22semidirect
115. #15689012C22semidirect
116. #15689012C22semidirect
117. #15689012C22semidirect
118. #15689011C22semidirect
119. #15689011C22semidirect
120. #15689011C22semidirect
121. #15689010C22semidirect
122. #15689009C22semidirect
123. #15689009C22semidirect
124. #15689008C22semidirect
125. #15689007C22semidirect
126. #15689007C22semidirect
127. #15689006C22semidirect
128. #15689006C22semidirect
129. #15689006C22semidirect
131. #15689002C22semidirect
145. #15688997C22semidirect
146. #15688997C22semidirect
147. #15688997C22semidirect
148. #15688997C22semidirect
149. #15688996C22semidirect
150. #15688996C22semidirect
155. #15688994C22semidirect
156. #15688994C22semidirect
157. #15688990C22semidirect
158. #15688987C22semidirect
159. #15688984C22semidirect
160. #15688983C22semidirect
164. #15688982C22semidirect
165. #15688981C22semidirect
166. #15688981C22semidirect
173. C2×C22⋊Q8×C47C22semidirect
174. C47×#400C22semidirect
175. C47×#397C22semidirect
176. C47×#394C22semidirect
177. C47×#393C22semidirect
178. C47×#393C22semidirect
181. C47×#388C22semidirect
182. C47×#387C22semidirect
183. C47×#386C22semidirect
184. C47×#386C22semidirect
185. C47×#386C22semidirect
186. C47×#380C22semidirect
815. #2696D47semidirect
856. C2×C22⋊Q8C2×D47semidirect
870. #400C2×D47semidirect
889. #397C2×D47semidirect
912. #394C2×D47semidirect
914. #393C2×D47semidirect
915. #393C2×D47semidirect
943. #388C2×D47semidirect
953. #387C2×D47semidirect
963. #386C2×D47semidirect
964. #386C2×D47semidirect
965. #386C2×D47semidirect
994. #380C2×D47semidirect
1000. C47#36807semidirect

Maximal subgroups

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

subgroupindex
#202517022
#202516952
#202512232
#202510992
#202507302
#202504862
#202504492
#202503142
#202501522
#202501422
#202500912
#202500792
#202500682
#202500652
#202499042
#202498642
#202497362
#202491922
#202491602
#202476272
#202475242
#202471942
#202470482
#202468492
#202467872
#202467552
#202467122
#202460442
#202460012
#390×D472
C47×#26962
#3680747