Finite Group Databasebeta

← #26424695

Subgroups — #26424695

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#20251706C211yesmaximal, characteristic, complemented
2#20251686C211yesmaximal, characteristic, complemented
3#20251058C211yesmaximal, characteristic, complemented
4#20251048C211yesmaximal, characteristic, complemented
5#20251002C211yesmaximal, characteristic, complemented
6#20250819C211yesmaximal, characteristic, complemented
7#20250809C211yesmaximal, characteristic, complemented
8#20250775C211yesmaximal, characteristic, complemented
9#20250707C211yesmaximal, characteristic, complemented
10#20250607C211yesmaximal, characteristic, complemented
11#20250510C211yesmaximal, characteristic, complemented
12#20250430C211yesmaximal, characteristic, complemented
13#20250424C211yesmaximal, characteristic, complemented
14#20250384C211yesmaximal, characteristic, complemented
15#20250018C211yesmaximal, characteristic, complemented
16#20249778C211yesmaximal, characteristic, complemented
17#20249765C211yesmaximal, characteristic, complemented
18#20249175C211yesmaximal, characteristic, complemented
19#20249135C211yesmaximal, characteristic, complemented
20#20247949C211yesmaximal, characteristic, complemented
21#20247709C211yesmaximal, characteristic, complemented
22#20247137C211yesmaximal, characteristic, complemented
23#20247055C211yesmaximal, characteristic, complemented
24#20246936C211yesmaximal, characteristic, complemented
25#20246779C211yesmaximal, characteristic, complemented
26#20246765C211yesmaximal, characteristic
27#20246717C211yesmaximal, characteristic, complemented
28#20246044C211yesmaximal, characteristic, complemented
29#20245965C211yesmaximal, characteristic, complemented
30#388×D47C211yesmaximal, characteristic, complemented
31C47×#2743C211yesmaximal, characteristic, complemented
32C23×D188C2211yescharacteristic
33C2×#13094019C2211yescharacteristic, complemented
34C2×#13094010C2211yescharacteristic, complemented
35C2×#13094009C2211yescharacteristic
36C2×#13094009C2211yescharacteristic
37C2×#13094006C2211yescharacteristic, complemented
38C2×#13094002C2211yescharacteristic, complemented
39C2×#13094002C2211yescharacteristic, complemented
40C2×#13093997C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093992C2211yescharacteristic
43C2×#13093992C2211yescharacteristic
44C2×C4×C22⋊D47C2211yescharacteristic, complemented
45C2×C4⋊C4×D47C2211yescharacteristic, complemented
46C2×C22⋊C4×D47C2211yescharacteristic
47C2×C22⋊C4×D47C2211yescharacteristic
48C2×C22⋊C4×D47C2211yescharacteristic
49C2×C22⋊C4×D47C2211yescharacteristic
50C2×C42×D47C2211yescharacteristic, complemented
51C47⋊#401C2211yescharacteristic, complemented
52#15689064C2211yescharacteristic, complemented
53#15689064C2211yescharacteristic, complemented
54#15689062C2211yescharacteristic, complemented
55#15689060C2211yescharacteristic, complemented
56#15689058C2211yescharacteristic, complemented
57#15689057C2211yescharacteristic, complemented
58#15689057C2211yescharacteristic, complemented
59#15689057C2211yescharacteristic, complemented
60#15689056C2211yescharacteristic, complemented
61#15689054C2211yescharacteristic, complemented
62#15689052C2211yescharacteristic, complemented
63#15689052C2211yescharacteristic, complemented
64#15689052C2211yescharacteristic, complemented
65#15689052C2211yescharacteristic, complemented
66#15689052C2211yescharacteristic, complemented
67#15689051C2211yescharacteristic
68#15689051C2211yescharacteristic, complemented
69#15689051C2211yescharacteristic, complemented
70#15689050C2211yescharacteristic, complemented
71#15689048C2211yescharacteristic
72#15689046C2211yescharacteristic
73#15689046C2211yescharacteristic
74#15689046C2211yescharacteristic, complemented
75#15689045C2211yescharacteristic, complemented
76#15689045C2211yescharacteristic, complemented
77#15689045C2211yescharacteristic, complemented
78#15689041C2211yescharacteristic
79#15689041C2211yescharacteristic
80#15689041C2211yescharacteristic
81#15689041C2211yescharacteristic
82#15689040C2211yescharacteristic
83#15689040C2211yescharacteristic
84#15689039C2211yescharacteristic, complemented
85#15689039C2211yescharacteristic, complemented
86#15689038C2211yescharacteristic, complemented
87#15689038C2211yescharacteristic, complemented
88#15689037C2211yescharacteristic
89#15689036C2211yescharacteristic, complemented
90#15689035C2211yescharacteristic
91#15689032C2211yescharacteristic
92#15689032C2211yescharacteristic
93#15689028C2211yescharacteristic, complemented
94#15689027C2211yescharacteristic, complemented
95#15689026C2211yescharacteristic
96#15689023C2211yescharacteristic, complemented
97#15689023C2211yescharacteristic, complemented
98#15689020C2211yescharacteristic, complemented
99#15689017C2211yescharacteristic
100#15689017C2211yescharacteristic, complemented
101#15689016C2211yescharacteristic
102#15689015C2211yescharacteristic, complemented
103#15689015C2211yescharacteristic, complemented
104#15689014C2211yescharacteristic, complemented
105#15689014C2211yescharacteristic, complemented
106#15689014C2211yescharacteristic, complemented
107#15689013C2211yescharacteristic, complemented
108#15689013C2211yescharacteristic, complemented
109#15689013C2211yescharacteristic, complemented
110#15689013C2211yescharacteristic, complemented
111#15689013C2211yescharacteristic, complemented
112#15689013C2211yescharacteristic, complemented
113#15689012C2211yescharacteristic, complemented
114#15689012C2211yescharacteristic, complemented
115#15689012C2211yescharacteristic, complemented
116#15689012C2211yescharacteristic, complemented
117#15689012C2211yescharacteristic, complemented
118#15689012C2211yescharacteristic, complemented
119#15689011C2211yescharacteristic
120#15689011C2211yescharacteristic
121#15689011C2211yescharacteristic
122#15689010C2211yescharacteristic, complemented
123#15689008C2211yescharacteristic, complemented
124#15689006C2211yescharacteristic, complemented
125#15689005C2211yescharacteristic, complemented
126#15689002C2211yescharacteristic, complemented
127#15689002C2211yescharacteristic, complemented
128#15689002C2211yescharacteristic, complemented
129#15689001C2211yescharacteristic
130#15689001C2211yescharacteristic
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic
137#15689001C2211yescharacteristic
138#15689001C2211yescharacteristic
139#15689001C2211yescharacteristic
140#15689001C2211yescharacteristic
141#15688999C2211yescharacteristic, complemented
142#15688999C2211yescharacteristic, complemented
143#15688999C2211yescharacteristic, complemented
144#15688999C2211yescharacteristic, complemented
145#15688997C2211yescharacteristic, complemented
146#15688997C2211yescharacteristic, complemented
147#15688997C2211yescharacteristic, complemented
148#15688996C2211yescharacteristic
149#15688996C2211yescharacteristic
150#15688994C2211yescharacteristic, complemented
151#15688994C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic, complemented
153#15688990C2211yescharacteristic, complemented
154#15688990C2211yescharacteristic, complemented
155#15688987C2211yescharacteristic, complemented
156#15688987C2211yescharacteristic, complemented
157#15688986C2211yescharacteristic
158#15688985C2211yescharacteristic, complemented
159#15688982C2211yescharacteristic, complemented
160#15688980C2211yescharacteristic, complemented
161#15688980C2211yescharacteristic, complemented
162#15688980C2211yescharacteristic, complemented
163#15688978C2211yescharacteristic
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169#15688970C2211yescharacteristic, complemented
170#95×D47C2211yescharacteristic, complemented
171#95×D47C2211yescharacteristic, complemented
172C47×#400C2211yescharacteristic, complemented
173C47×#400C2211yescharacteristic, complemented
174C47×#400C2211yescharacteristic, complemented
175C47×#399C2211yescharacteristic
176C47×#396C2211yescharacteristic, complemented
177C47×#394C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#388C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#385C2211yescharacteristic
184C47×#381C2211yescharacteristic
185C47×#381C2211yescharacteristic, complemented
186C47×#380C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188—24no—
191C22×D188—42no—
192C22×D188—42no—
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209#13094019—42no—
210#13094010—42no—
211#13094009—42no—
212#13094009—42no—
213#13094006—42no—
214#13094002—42no—
215#13094002—42no—
216#13093997—42no—
217#13093997—42no—
218#13093992—24no—
219#13093992—42no—
220C4×C22⋊D47—42no—
221C2×C4⋊Dic47C2311yescharacteristic
222C2×C4⋊Dic47C2311yescharacteristic
223C2×C4⋊Dic47C2311yescharacteristic
224C2×C4⋊Dic47C2311yescharacteristic
225C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C4⋊C4×D47—42no—
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×(C2×D47)⋊C4C2311yescharacteristic
252C2×(C2×D47)⋊C4C2311yescharacteristic
253C2×(C2×D47)⋊C4C2311yescharacteristic
254C2×(C2×D47)⋊C4C2311yescharacteristic
255C2×(C2×D47)⋊C4C2311yescharacteristic
256C2×(C2×D47)⋊C4C2311yescharacteristic
257C2×(C2×D47)⋊C4C2311yescharacteristic
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×(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
287C22⋊C4×D47—24no—
288C22⋊C4×D47—42no—
289C22⋊C4×D47—42no—
290C22⋊C4×D47—42no—
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C42×D47—42no—
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C22×D4×C47C2311yescharacteristic
329C23×C4×C47C2311yescharacteristic
330C23×C4×C47C2311yescharacteristic
331C2×C4⋊C4×C47C2311yescharacteristic
332C2×C4⋊C4×C47C2311yescharacteristic
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C4⋊C4×C47C2311yescharacteristic
335C2×C4⋊C4×C47C2311yescharacteristic
336C2×C4⋊C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C22⋊C4×C47C2311yescharacteristic
339C2×C22⋊C4×C47C2311yescharacteristic
340C2×C22⋊C4×C47C2311yescharacteristic
341C2×C22⋊C4×C47C2311yescharacteristic
342C2×C22⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C42×C47C2311yescharacteristic
349#95×C47C2311yescharacteristic
350#95×C47C2311yescharacteristic
351#95×C47C2311yescharacteristic
352#95×C47C2311yescharacteristic
353#95×C47C2311yescharacteristic
354#95×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363C24×C47C2411yescharacteristic
364C24×C47C2411yescharacteristic
365C23×D47—22no—
366C23×D47—22no—
367C23×D47—22no—
368C23×D47—41no—
369C23×D47—41no—
370C23×D47—41no—
371C23×D47—41no—
372C23×D47—41no—
373C23×D47—41no—
374C23×D47—41no—
375C23×D47—41no—
376C23×D47—41no—
377C23×D47—41no—
378C23×D47#4114yes—
379C23×D47C2411yescharacteristic
380C23×D47C2411yescharacteristic
381C23×D47C2411yescharacteristic
382C23×D47C2411yescharacteristic
383C2×D4×C47—22no—
384C2×D4×C47—41no—
385C2×D4×C47—41no—
386C22×C4×C47—22no—
387C22×C4×C47—41no—
388C22×C4×C47—41no—
389C22×C4×C47—41no—
390C22×C4×C47—41no—
391C22×C4×C47—41no—
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C22×C4×C47C2411yescharacteristic
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C2×C22⋊D47—22no—
406C2×C22⋊D47—22no—
407C2×C22⋊D47—22no—
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—41no—
411C2×C22⋊D47—41no—
412C2×C22⋊D47—41no—
413C2×C22⋊D47—41no—
414C2×C22⋊D47—41no—
415C2×C22⋊D47—41no—
416C2×C22⋊D47—41no—
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C2×D188—22no—
430C2×D188—22no—
431C2×D188—22no—
432C2×D188—22no—
433C2×D188—22no—
434C2×D188—22no—
435C2×D188—22no—
436C2×D188—22no—
437C2×D188—41no—
438C2×D188—41no—
439C2×D188—41no—
440C2×D188—41no—
441C2×D188—416no—
442C2×C4×D47—22no—
443C2×C4×D47—22no—
444C2×C4×D47—22no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—41no—
452C2×C4×D47—41no—
453C2×C4×D47—41no—
454C2×C4×D47—41no—
455C2×C4×D47—41no—
456C2×C4×D47—41no—
457C2×C4×D47—41no—
458C2×C4×D47—41no—
459C2×C4×D47—41no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
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—
473C4⋊C4×C47—41no—
474C4⋊C4×C47—41no—
475C4⋊C4×C47—41no—
476C22⋊C4×C47—22no—
477C22⋊C4×C47—41no—
478C22⋊C4×C47—41no—
479C22⋊C4×C47—41no—
480C22⋊C4×C47—41no—
481C22⋊C4×C47—41no—
482C22⋊C4×C47—41no—
483C22⋊C4×C47—41no—
484C22⋊C4×C47—41no—
485C22⋊C4×C47—41no—
486C42×C47—41no—
487C22⋊Dic47—22no—
488C22⋊Dic47—22no—
489C22⋊Dic47—22no—
490C22⋊Dic47—41no—
491C22⋊Dic47—41no—
492C22⋊Dic47—41no—
493C22⋊Dic47—41no—
494C22⋊Dic47—41no—
495C22⋊Dic47—41no—
496C22⋊Dic47—41no—
497(C2×D47)⋊C4—22no—
498(C2×D47)⋊C4—22no—
499(C2×D47)⋊C4—22no—
500(C2×D47)⋊C4—22no—
501(C2×D47)⋊C4—22no—
502(C2×D47)⋊C4—22no—
503(C2×D47)⋊C4—22no—
504(C2×D47)⋊C4—22no—
505(C2×D47)⋊C4—22no—
506(C2×D47)⋊C4—22no—
507(C2×D47)⋊C4—41no—
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—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533C4⋊Dic47—41no—
534C4⋊Dic47—41no—
535C4⋊Dic47—41no—
536C4⋊Dic47—41no—
537C4⋊Dic47—41no—
538Dic47⋊C4—22no—
539Dic47⋊C4—41no—
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—
551Dic47⋊C4—41no—
552C4×Dic47—22no—
553C4×Dic47—22no—
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×C47C2×#4112yes—
572C23×C47C2511yescharacteristic
573C22×D47—21no—
574C22×D47—21no—
575C22×D47—21no—
576C22×D47—21no—
577C22×D47—21no—
578C22×D47—21no—
579C22×D47—21no—
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—28no—
584C22×D47—21no—
585C22×D47—21no—
586C22×D47—21no—
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—21no—
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—44no—
599C22×D47—44no—
600C22×D47—44no—
601C22×D47—82no—
602C22×D47—82no—
603C22×D47—82no—
604C22×D47—82no—
605C22×D47—82no—
606C22×D47—82no—
607C22×D47—82no—
608C22×D47—82no—
609C22×D47—82no—
610C22×D47—82no—
611C22×D47C2×#4112yes—
612C22×D47C2×#4112yes—
613C22×D47H(5,𝔽2)12yes—
614C22×D47H(5,𝔽2)12yes—
615D4×C47—82no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—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—44no—
656C2×C4×C47—82no—
657C22⋊D47—44no—
658C22⋊D47—82no—
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×Dic47H(5,𝔽2)12yes—
697D188—44no—
698D188—44no—
699D188—44no—
700D188—44no—
701C4×D47—44no—
702C4×D47—44no—
703C4×D47—44no—
704C4×D47—44no—
705C4×D47—82no—
706C4×D47—82no—
707C4×D47—82no—
708C4×D47—82no—
709Dic94—82no—
710#36779—471nomaximal, Sylow
711C22×C47—22no—
712C22×C47—22no—
713C22×C47—22no—
714C22×C47—41no—
715C22×C47—41no—
716C22×C47—41no—
717C22×C47—41no—
718C22×C47—41no—
719C22×C47—41no—
720C22×C47—41no—
721C22×C47—41no—
722C22×C47—41no—
723C22×C47—41no—
724C22×C47—41no—
725C22×C47C22×#4111yescharacteristic
726C22×C47C2×H(5,𝔽2)11yescharacteristic
727C22×C47C2×H(5,𝔽2)11yescharacteristic
728C22×C47C2×H(5,𝔽2)11yescharacteristic
729C22×C47#58511yescharacteristic
730C22×C47#58511yescharacteristic
731C22×C47#58511yescharacteristic
732C2×D47—22no—
733C2×D47—22no—
734C2×D47—22no—
735C2×D47—22no—
736C2×D47—22no—
737C2×D47—22no—
738C2×D47—22no—
739C2×D47—22no—
740C2×D47—22no—
741C2×D47—41no—
742C2×D47—41no—
743C2×D47—41no—
744C2×D47—41no—
745C2×D47—41no—
746C2×D47—41no—
747C2×D47—41no—
748C2×D47—41no—
749C2×D47—41no—
750C2×D47—41no—
751C2×D47—41no—
752C2×D47—41no—
753C2×D47—41no—
754C2×D47—41no—
755C2×D47—41no—
756C2×D47—41no—
757C2×D47—41no—
758C2×D47—41no—
759C2×D47—88no—
760C2×D47—88no—
761C2×D47#53814yes—
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—
773C4×C47—41no—
774C4×C47—41no—
775Dic47—22no—
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#2743D4711yescharacteristic, complemented
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#2412—471no—
813#2410—471no—
814#2405—471no—
815#2321—471no—
816#2308—471no—
817C2×#388—471no—
818C2×C47—42no—
819C2×C47—81no—
820C2×C47C2×#53811yescharacteristic
821C2×C47#349111yescharacteristic
822C2×C47#350511yescharacteristic
823C2×C47#353411yescharacteristic
824C2×C47#354211yescharacteristic
825C2×C47#354511yescharacteristic
826C2×C47#356011yescharacteristic
827D47—24no—
828D47—42no—
829D47—81no—
830D47—81no—
831C23×D4—471no—
832C2×#126—471no—
833C2×#124—471no—
834C2×#123—471no—
835C2×#123—471no—
836C2×#123—471no—
837C2×C22⋊Q8—471no—
838C2×C22⋊Q8—471no—
839C2×#121—471no—
840C2×#121—471no—
841C2×#120—471no—
842C2×#120—471no—
843C2×C4×D4—471no—
844C22×C4⋊C4—471no—
845C22×C22⋊C4—471no—
846C22×C22⋊C4—471no—
847C22×C22⋊C4—471no—
848C22×C22⋊C4—471no—
849C22×C42—471no—
850#401—471no—
851#400—471no—
852#400—471no—
853#400—471no—
854#400C2×D4711yescharacteristic, complemented
855#400C2×D4711yescharacteristic, complemented
856#400C2×D4711yescharacteristic, complemented
857#399—471no—
858#399—471no—
859#399C2×D4711yescharacteristic
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#397—471no—
874#397—471no—
875#396—471no—
876#396—471no—
877#396—471no—
878#396—471no—
879#396—471no—
880#396—471no—
881#396C2×D4711yescharacteristic, complemented
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#394—471no—
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#388C2×D4711yescharacteristic
928#388C2×D4711yescharacteristic, complemented
929#387—471no—
930#387—471no—
931#387—471no—
932#387—471no—
933#387C2×D4711yescharacteristic, complemented
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#386—471no—
953#386C2×D4711yescharacteristic
954#386C2×D4711yescharacteristic
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
964#383—471no—
965#383—471no—
966#382—471no—
967#382—471no—
968#381—471no—
969#381—471no—
970#381C2×D4711yescharacteristic
971#381C2×D4711yescharacteristic, complemented
972#380—471no—
973#380—471no—
974#380—471no—
975#380—471no—
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—
988C25—471no—
989C22×Q8—471no—
990C22×D4—471no—
991C22×D4—471no—
992C22×D4—471no—
993C22×D4—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—471no—
997C22×D4—471no—
998C22×D4—944no—
999C22×D4—1882no—
1000C22×D4—1882no—
1001C22×D4C22×D4711yescharacteristic
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4—471no—
1010C23×C4C22×D4711yescharacteristic
1011C23×C4C22×D4711yescharacteristic
1012#126—1882no—
1013#124—1882no—
1014#123—1882no—
1015#123—1882no—
1016#123—1882no—
1017C22⋊Q8—1882no—
1018C22⋊Q8—1882no—
1019#121—1882no—
1020#121—1882no—
1021#120—944no—
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—1882no—
1044C2×C4⋊C4C22×D4711yescharacteristic
1045C2×C4⋊C4C22×D4711yescharacteristic
1046C2×C4⋊C4C22×D4711yescharacteristic
1047C2×C4⋊C4C22×D4711yescharacteristic
1048C2×C4⋊C4C22×D4711yescharacteristic
1049C2×C4⋊C4C22×D4711yescharacteristic
1050C2×C4⋊C4C22×D4711yescharacteristic
1051C2×C22⋊C4—471no—
1052C2×C22⋊C4—471no—
1053C2×C22⋊C4—471no—
1054C2×C22⋊C4—471no—
1055C2×C22⋊C4—471no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4—471no—
1058C2×C22⋊C4—471no—
1059C2×C22⋊C4—471no—
1060C2×C22⋊C4—471no—
1061C2×C22⋊C4—471no—
1062C2×C22⋊C4—471no—
1063C2×C22⋊C4—471no—
1064C2×C22⋊C4—471no—
1065C2×C22⋊C4—471no—
1066C2×C22⋊C4—471no—
1067C2×C22⋊C4—471no—
1068C2×C22⋊C4—471no—
1069C2×C22⋊C4—471no—
1070C2×C22⋊C4—471no—
1071C2×C22⋊C4—471no—
1072C2×C22⋊C4—471no—
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—471no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—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—944no—
1098C2×C22⋊C4—1882no—
1099C2×C22⋊C4—1882no—
1100C2×C22⋊C4—1882no—
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—1882no—
1118C2×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1150#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
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—471no—
1164C24—471no—
1165C24—474no—
1166C24—471no—
1167C24—471no—
1168C24—942no—
1169C24—942no—
1170C24—942no—
1171C24—1881no—
1172C24—1881no—
1173C24—1881no—
1174C24—1881no—
1175C24—1881no—
1176C24—1881no—
1177C24—1881no—
1178C24—1881no—
1179C24—1881no—
1180C24—1881no—
1181C24C23×D4711yescharacteristic
1182C24C23×D4711yescharacteristic
1183C2×Q8—942no—
1184C2×Q8—1881no—
1185C2×Q8—1881no—
1186C2×D4—22no—
1187C2×D4—41no—
1188C2×D4—41no—
1189C2×D4—942no—
1190C2×D4—942no—
1191C2×D4—942no—
1192C2×D4—942no—
1193C2×D4—942no—
1194C2×D4—942no—
1195C2×D4—942no—
1196C2×D4—942no—
1197C2×D4—942no—
1198C2×D4—942no—
1199C2×D4—942no—
1200C2×D4—942no—
1201C2×D4—942no—
1202C2×D4—1881no—
1203C2×D4—1881no—
1204C2×D4—1881no—
1205C2×D4—1881no—
1206C2×D4—18816no—
1207C2×D4—1881no—
1208C2×D4—1881no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—1881no—
1214C22×C4—22no—
1215C22×C4—41no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—471no—
1221C22×C4—471no—
1222C22×C4—471no—
1223C22×C4—471no—
1224C22×C4—471no—
1225C22×C4—471no—
1226C22×C4—471no—
1227C22×C4—471no—
1228C22×C4—471no—
1229C22×C4—471no—
1230C22×C4—471no—
1231C22×C4—471no—
1232C22×C4—942no—
1233C22×C4—942no—
1234C22×C4—942no—
1235C22×C4—942no—
1236C22×C4—942no—
1237C22×C4—942no—
1238C22×C4—942no—
1239C22×C4—942no—
1240C22×C4—942no—
1241C22×C4—1881no—
1242C22×C4—1881no—
1243C22×C4—1881no—
1244C22×C4—1881no—
1245C22×C4—1881no—
1246C22×C4—1881no—
1247C22×C4—1881no—
1248C22×C4—1881no—
1249C22×C4—1881no—
1250C22×C4—1881no—
1251C22×C4—1881no—
1252C22×C4—1881no—
1253C22×C4—1881no—
1254C22×C4—1881no—
1255C22×C4—1881no—
1256C22×C4C23×D4711yescharacteristic
1257C22×C4C23×D4711yescharacteristic
1258C22×C4C23×D4711yescharacteristic
1259C22×C4C23×D4711yescharacteristic
1260C22×C4C23×D4711yescharacteristic
1261C22×C4C23×D4711yescharacteristic
1262C22×C4C23×D4711yescharacteristic
1263C22×C4C23×D4711yescharacteristic
1264C22×C4C23×D4711yescharacteristic
1265C22×C4C23×D4711yescharacteristic
1266C22×C4C23×D4711yescharacteristic
1267C22×C4C23×D4711yescharacteristic
1268C22×C4C23×D4711yescharacteristic
1269C4⋊C4—41no—
1270C4⋊C4—41no—
1271C4⋊C4—41no—
1272C4⋊C4—41no—
1273C4⋊C4—41no—
1274C4⋊C4—41no—
1275C4⋊C4—41no—
1276C4⋊C4—942no—
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—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—942no—
1306C22⋊C4—942no—
1307C22⋊C4—942no—
1308C22⋊C4—942no—
1309C22⋊C4—942no—
1310C22⋊C4—942no—
1311C22⋊C4—942no—
1312C22⋊C4—942no—
1313C22⋊C4—942no—
1314C22⋊C4—942no—
1315C22⋊C4—942no—
1316C22⋊C4—942no—
1317C22⋊C4—942no—
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—41no—
1352C42—942no—
1353C42—942no—
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—472no—
1372C23—472no—
1373C23—472no—
1374C23—472no—
1375C23—948no—
1376C23—941no—
1377C23—941no—
1378C23—941no—
1379C23—941no—
1380C23—941no—
1381C23—941no—
1382C23—941no—
1383C23—941no—
1384C23—941no—
1385C23—941no—
1386C23—941no—
1387C23—941no—
1388C23—941no—
1389C23—941no—
1390C23—941no—
1391C23—941no—
1392C23—941no—
1393C23—941no—
1394C23—941no—
1395C23—941no—
1396C23—941no—
1397C23—941no—
1398C23—941no—
1399C23—941no—
1400C23—3762no—
1401C23—3762no—
1402C23—3762no—
1403C23—3762no—
1404C23—3762no—
1405C23—3762no—
1406C23—3762no—
1407C23—3762no—
1408C23—3762no—
1409C23—3762no—
1410C23—1884no—
1411C23—1884no—
1412C23—1884no—
1413C23#41×D4712yes—
1414C23C24×D4711yescharacteristic
1415Q8—3762no—
1416D4—82no—
1417D4—3762no—
1418D4—3762no—
1419D4—3762no—
1420D4—1884no—
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—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—44no—
1465C2×C4—82no—
1466C2×C4—472no—
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—3762no—
1503C2×C4—3762no—
1504C2×C4—3762no—
1505C2×C4—3762no—
1506C2×C4—1884no—
1507C2×C4—1884no—
1508C2×C4—1884no—
1509C2×C4—1884no—
1510C22—22no—
1511C22—22no—
1512C22—22no—
1513C22—41no—
1514C22—41no—
1515C22—41no—
1516C22—41no—
1517C22—41no—
1518C22—41no—
1519C22—41no—
1520C22—41no—
1521C22—41no—
1522C22—41no—
1523C22—41no—
1524C22—474no—
1525C22—942no—
1526C22—942no—
1527C22—942no—
1528C22—942no—
1529C22—942no—
1530C22—942no—
1531C22—942no—
1532C22—942no—
1533C22—942no—
1534C22—3768no—
1535C22—3768no—
1536C22—1881no—
1537C22—1881no—
1538C22—1881no—
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—1881no—
1554C22C2×#41×D4711yescharacteristic
1555C22H(5,𝔽2)×D4711yescharacteristic
1556C22H(5,𝔽2)×D4711yescharacteristic
1557C22H(5,𝔽2)×D4711yescharacteristic
1558C22#1568995911yescharacteristic
1559C22#1568995911yescharacteristic
1560C22#1568996011yescharacteristic
1561C4—41no—
1562C4—41no—
1563C4—41no—
1564C4—41no—
1565C4—41no—
1566C4—41no—
1567C4—41no—
1568C4—41no—
1569C4—41no—
1570C4—41no—
1571C4—41no—
1572C4—41no—
1573C4—41no—
1574C4—942no—
1575C4—1881no—
1576C4—1881no—
1577C4—1881no—
1578C4—1881no—
1579C4—1881no—
1580C4—1881no—
1581C4—1881no—
1582C4—1881no—
1583C4—1881no—
1584C4—1881no—
1585C4—1881no—
1586C2—42no—
1587C2—81no—
1588C2—944no—
1589C2—3761no—
1590C2—3761no—
1591C2—1882no—
1592C2#538×D4711yescharacteristic
1593C2#2025708311yescharacteristic
1594C2#2025721911yescharacteristic
1595C2#2025757111yescharacteristic
1596C2#2025770111yescharacteristic
1597C2#2025774111yescharacteristic
1598C2#2025794111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2743C2
prime radical#20246765C2
hypercenter#2743D47
hypocenterC47#36779
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2743

Complements

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

NH ≅ G/Ntype
1. #20251706C2semidirect
2. #20251686C2semidirect
3. #20251058C2semidirect
4. #20251048C2semidirect
5. #20251002C2semidirect
6. #20250819C2semidirect
7. #20250809C2semidirect
8. #20250775C2semidirect
9. #20250707C2semidirect
10. #20250607C2semidirect
11. #20250510C2semidirect
12. #20250430C2semidirect
13. #20250424C2semidirect
14. #20250384C2semidirect
15. #20250018C2semidirect
16. #20249778C2semidirect
17. #20249765C2semidirect
18. #20249175C2semidirect
19. #20249135C2semidirect
20. #20247949C2semidirect
21. #20247709C2semidirect
22. #20247137C2semidirect
23. #20247055C2semidirect
24. #20246936C2semidirect
25. #20246779C2semidirect
27. #20246717C2semidirect
28. #20246044C2semidirect
29. #20245965C2semidirect
30. #388×D47C2semidirect
31. C47×#2743C2semidirect
33. C2×#13094019C22semidirect
34. C2×#13094010C22semidirect
37. C2×#13094006C22semidirect
38. C2×#13094002C22semidirect
39. C2×#13094002C22semidirect
44. C2×C4×C22⋊D47C22semidirect
45. C2×C4⋊C4×D47C22semidirect
50. C2×C42×D47C22semidirect
51. C47⋊#401C22semidirect
52. #15689064C22semidirect
53. #15689064C22semidirect
54. #15689062C22semidirect
55. #15689060C22semidirect
56. #15689058C22semidirect
57. #15689057C22semidirect
58. #15689057C22semidirect
59. #15689057C22semidirect
60. #15689056C22semidirect
61. #15689054C22semidirect
62. #15689052C22semidirect
63. #15689052C22semidirect
64. #15689052C22semidirect
65. #15689052C22semidirect
66. #15689052C22semidirect
68. #15689051C22semidirect
69. #15689051C22semidirect
70. #15689050C22semidirect
74. #15689046C22semidirect
75. #15689045C22semidirect
76. #15689045C22semidirect
77. #15689045C22semidirect
84. #15689039C22semidirect
85. #15689039C22semidirect
86. #15689038C22semidirect
87. #15689038C22semidirect
89. #15689036C22semidirect
93. #15689028C22semidirect
94. #15689027C22semidirect
96. #15689023C22semidirect
97. #15689023C22semidirect
98. #15689020C22semidirect
100. #15689017C22semidirect
102. #15689015C22semidirect
103. #15689015C22semidirect
104. #15689014C22semidirect
105. #15689014C22semidirect
106. #15689014C22semidirect
107. #15689013C22semidirect
108. #15689013C22semidirect
109. #15689013C22semidirect
110. #15689013C22semidirect
111. #15689013C22semidirect
112. #15689013C22semidirect
113. #15689012C22semidirect
114. #15689012C22semidirect
115. #15689012C22semidirect
116. #15689012C22semidirect
117. #15689012C22semidirect
118. #15689012C22semidirect
122. #15689010C22semidirect
123. #15689008C22semidirect
124. #15689006C22semidirect
125. #15689005C22semidirect
126. #15689002C22semidirect
127. #15689002C22semidirect
128. #15689002C22semidirect
141. #15688999C22semidirect
142. #15688999C22semidirect
143. #15688999C22semidirect
144. #15688999C22semidirect
145. #15688997C22semidirect
146. #15688997C22semidirect
147. #15688997C22semidirect
150. #15688994C22semidirect
151. #15688994C22semidirect
152. #15688994C22semidirect
153. #15688990C22semidirect
154. #15688990C22semidirect
155. #15688987C22semidirect
156. #15688987C22semidirect
158. #15688985C22semidirect
159. #15688982C22semidirect
160. #15688980C22semidirect
161. #15688980C22semidirect
162. #15688980C22semidirect
169. #15688970C22semidirect
170. #95×D47C22semidirect
171. #95×D47C22semidirect
172. C47×#400C22semidirect
173. C47×#400C22semidirect
174. C47×#400C22semidirect
176. C47×#396C22semidirect
179. C47×#388C22semidirect
180. C47×#387C22semidirect
185. C47×#381C22semidirect
186. C47×#380C22semidirect
797. #2743D47semidirect
854. #400C2×D47semidirect
855. #400C2×D47semidirect
856. #400C2×D47semidirect
881. #396C2×D47semidirect
928. #388C2×D47semidirect
933. #387C2×D47semidirect
971. #381C2×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
#202517062
#202516862
#202510582
#202510482
#202510022
#202508192
#202508092
#202507752
#202507072
#202506072
#202505102
#202504302
#202504242
#202503842
#202500182
#202497782
#202497652
#202491752
#202491352
#202479492
#202477092
#202471372
#202470552
#202469362
#202467792
#202467652
#202467172
#202460442
#202459652
#388×D472
C47×#27432
#3677947