Finite Group Databasebeta

← #26423545

Subgroups — #26423545

Order 12032.

1954 conjugacy classes of subgroups.

The subgroup lattice has 1586 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251683C211yesmaximal, characteristic, complemented
2#20251669C211yesmaximal, characteristic, complemented
3#20250577C211yesmaximal, characteristic, complemented
4#20250573C211yesmaximal, characteristic, complemented
5#20250539C211yesmaximal, characteristic, complemented
6#20250532C211yesmaximal, characteristic, complemented
7#20250500C211yesmaximal, characteristic, complemented
8#20250295C211yesmaximal, characteristic, complemented
9#20250069C211yesmaximal, characteristic, complemented
10#20250062C211yesmaximal, characteristic, complemented
11#20250006C211yesmaximal, characteristic, complemented
12#20249972C211yesmaximal, characteristic, complemented
13#20249870C211yesmaximal, characteristic, complemented
14#20249781C211yesmaximal, characteristic, complemented
15#20249777C211yesmaximal, characteristic, complemented
16#20249708C211yesmaximal, characteristic, complemented
17#20249617C211yesmaximal, characteristic, complemented
18#20249598C211yesmaximal, characteristic, complemented
19#20249588C211yesmaximal, characteristic, complemented
20#20249520C211yesmaximal, characteristic, complemented
21#20248691C211yesmaximal, characteristic, complemented
22#20248514C211yesmaximal, characteristic, complemented
23#20248511C211yesmaximal, characteristic, complemented
24#20247619C211yesmaximal, characteristic, complemented
25#20247581C211yesmaximal, characteristic, complemented
26#20247501C211yesmaximal, characteristic, complemented
27#20247489C211yesmaximal, characteristic, complemented
28#20246172C211yesmaximal, characteristic, complemented
29#20246151C211yesmaximal, characteristic, complemented
30#20245769C211yesmaximal, characteristic, complemented
31C47×#2595C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C2×#13094018C2211yescharacteristic, complemented
34C2×#13094017C2211yescharacteristic
35C2×#13094017C2211yescharacteristic
36C2×#13094009C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094008C2211yescharacteristic
39C2×#13094006C2211yescharacteristic, complemented
40C2×#13093999C2211yescharacteristic
41C2×#13093997C2211yescharacteristic
42C2×#13093997C2211yescharacteristic
43C2×#13093997C2211yescharacteristic
44C2×#13093996C2211yescharacteristic
45C2×#13093996C2211yescharacteristic
46C2×#13093994C2211yescharacteristic
47C2×#13093994C2211yescharacteristic
48C2×#13093992C2211yescharacteristic
49C2×#13093981C2211yescharacteristic
50C2×#13093981C2211yescharacteristic
51C47⋊#401C2211yescharacteristic, complemented
52#15689064C2211yescharacteristic, complemented
53#15689063C2211yescharacteristic, complemented
54#15689063C2211yescharacteristic, complemented
55#15689060C2211yescharacteristic
56#15689058C2211yescharacteristic
57#15689058C2211yescharacteristic
58#15689058C2211yescharacteristic, complemented
59#15689058C2211yescharacteristic, complemented
60#15689057C2211yescharacteristic, complemented
61#15689057C2211yescharacteristic, complemented
62#15689057C2211yescharacteristic, complemented
63#15689057C2211yescharacteristic, complemented
64#15689056C2211yescharacteristic, complemented
65#15689056C2211yescharacteristic, complemented
66#15689053C2211yescharacteristic, complemented
67#15689052C2211yescharacteristic
68#15689052C2211yescharacteristic, complemented
69#15689051C2211yescharacteristic, complemented
70#15689048C2211yescharacteristic
71#15689047C2211yescharacteristic
72#15689046C2211yescharacteristic, complemented
73#15689045C2211yescharacteristic
74#15689045C2211yescharacteristic
75#15689045C2211yescharacteristic, complemented
76#15689041C2211yescharacteristic
77#15689041C2211yescharacteristic
78#15689041C2211yescharacteristic
79#15689041C2211yescharacteristic, complemented
80#15689041C2211yescharacteristic, complemented
81#15689040C2211yescharacteristic
82#15689039C2211yescharacteristic
83#15689039C2211yescharacteristic
84#15689039C2211yescharacteristic
85#15689039C2211yescharacteristic
86#15689039C2211yescharacteristic, complemented
87#15689038C2211yescharacteristic
88#15689038C2211yescharacteristic
89#15689038C2211yescharacteristic, complemented
90#15689037C2211yescharacteristic
91#15689033C2211yescharacteristic
92#15689032C2211yescharacteristic
93#15689032C2211yescharacteristic
94#15689032C2211yescharacteristic, complemented
95#15689025C2211yescharacteristic
96#15689025C2211yescharacteristic
97#15689025C2211yescharacteristic, complemented
98#15689024C2211yescharacteristic
99#15689023C2211yescharacteristic
100#15689023C2211yescharacteristic
101#15689023C2211yescharacteristic, complemented
102#15689021C2211yescharacteristic, complemented
103#15689020C2211yescharacteristic, complemented
104#15689020C2211yescharacteristic, complemented
105#15689020C2211yescharacteristic, complemented
106#15689017C2211yescharacteristic
107#15689015C2211yescharacteristic
108#15689015C2211yescharacteristic
109#15689015C2211yescharacteristic, complemented
110#15689014C2211yescharacteristic
111#15689014C2211yescharacteristic
112#15689014C2211yescharacteristic, complemented
113#15689014C2211yescharacteristic, complemented
114#15689013C2211yescharacteristic
115#15689013C2211yescharacteristic, complemented
116#15689012C2211yescharacteristic, complemented
117#15689012C2211yescharacteristic, complemented
118#15689012C2211yescharacteristic, complemented
119#15689010C2211yescharacteristic, complemented
120#15689009C2211yescharacteristic, complemented
121#15689007C2211yescharacteristic, complemented
122#15689007C2211yescharacteristic, complemented
123#15689005C2211yescharacteristic, complemented
124#15689005C2211yescharacteristic, complemented
125#15689004C2211yescharacteristic, complemented
126#15689002C2211yescharacteristic
127#15689002C2211yescharacteristic
128#15689001C2211yescharacteristic
129#15689001C2211yescharacteristic
130#15689001C2211yescharacteristic
131#15689001C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689000C2211yescharacteristic
136#15689000C2211yescharacteristic
137#15689000C2211yescharacteristic, complemented
138#15688999C2211yescharacteristic
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic, complemented
143#15688995C2211yescharacteristic
144#15688995C2211yescharacteristic, complemented
145#15688995C2211yescharacteristic, complemented
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic
148#15688994C2211yescharacteristic, complemented
149#15688994C2211yescharacteristic, complemented
150#15688988C2211yescharacteristic, complemented
151#15688985C2211yescharacteristic
152#15688985C2211yescharacteristic
153#15688985C2211yescharacteristic
154#15688985C2211yescharacteristic
155#15688985C2211yescharacteristic, complemented
156#15688982C2211yescharacteristic
157#15688982C2211yescharacteristic
158#15688982C2211yescharacteristic
159#15688982C2211yescharacteristic
160#15688981C2211yescharacteristic
161#15688981C2211yescharacteristic
162#15688981C2211yescharacteristic
163#15688978C2211yescharacteristic
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166C22⋊C4×Dic47C2211yescharacteristic, complemented
167C4×(C2×D47)⋊C4C2211yescharacteristic
168C4×(C2×D47)⋊C4C2211yescharacteristic
169C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
170C4×C22⋊Dic47C2211yescharacteristic
171#15688970C2211yescharacteristic, complemented
172C47×#400C2211yescharacteristic, complemented
173C47×#397C2211yescharacteristic
174C47×#397C2211yescharacteristic, complemented
175C47×#394C2211yescharacteristic
176C47×#390C2211yescharacteristic
177C47×#388C2211yescharacteristic
178C47×#388C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#388C2211yescharacteristic, complemented
181C47×#387C2211yescharacteristic, complemented
182C47×#387C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C4×C4⋊C4×C47C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic
187C24×D47C2311yescharacteristic
188C22×D188C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C23×Dic47C2311yescharacteristic
200C23×Dic47C2311yescharacteristic
201C22×C4×D47—24no—
202C22×C4×D47—42no—
203C22×C4×D47—42no—
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210#13094018—42no—
211#13094017—42no—
212#13094017—42no—
213#13094009—24no—
214#13094009—42no—
215#13094008—42no—
216#13094006—42no—
217#13093999—42no—
218#13093997—24no—
219#13093997—42no—
220#13093997—42no—
221#13093996—42no—
222#13093996—42no—
223#13093994—42no—
224#13093994—42no—
225#13093992—42no—
226#13093981—42no—
227#13093981—42no—
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
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
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
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
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×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
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
330C2×C4⋊C4×C47C2311yescharacteristic
331C2×C4⋊C4×C47C2311yescharacteristic
332C2×C4⋊C4×C47C2311yescharacteristic
333C2×C4⋊C4×C47C2311yescharacteristic
334C2×C4⋊C4×C47C2311yescharacteristic
335C2×C4⋊C4×C47C2311yescharacteristic
336C2×C22⋊C4×C47C2311yescharacteristic
337C2×C22⋊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×C42×C47C2311yescharacteristic
348C2×C42×C47C2311yescharacteristic
349C2×C42×C47C2311yescharacteristic
350C2×C42×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×D47C2411yescharacteristic
373C23×D47C2411yescharacteristic
374C23×D47C2411yescharacteristic
375C23×D47C2411yescharacteristic
376C2×D4×C47—22no—
377C2×D4×C47—41no—
378C2×D4×C47—41no—
379C22×C4×C47—22no—
380C22×C4×C47—41no—
381C22×C4×C47—41no—
382C22×C4×C47C2411yescharacteristic
383C22×C4×C47C2411yescharacteristic
384C22×C4×C47C2411yescharacteristic
385C22×C4×C47C2411yescharacteristic
386C22×C4×C47C2411yescharacteristic
387C22×C4×C47C2411yescharacteristic
388C22×C4×C47C2411yescharacteristic
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C2×C22⋊D47—22no—
396C2×C22⋊D47—22no—
397C2×C22⋊D47—22no—
398C2×C22⋊D47—22no—
399C2×C22⋊D47—22no—
400C2×C22⋊D47—41no—
401C2×C22⋊D47—41no—
402C2×C22⋊D47—41no—
403C2×C22⋊D47—41no—
404C2×C22⋊D47—41no—
405C2×C22⋊D47—41no—
406C2×C22⋊D47—41no—
407C2×C22⋊D47—41no—
408C2×C22⋊D47—41no—
409C2×C22⋊D47—41no—
410C2×C22⋊D47—41no—
411C2×C22⋊D47—41no—
412C2×C22⋊D47—41no—
413C22×Dic47—22no—
414C22×Dic47—22no—
415C22×Dic47—41no—
416C22×Dic47—41no—
417C22×Dic47—41no—
418C22×Dic47—41no—
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C22×Dic47C2411yescharacteristic
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C2×D188—22no—
432C2×D188—22no—
433C2×D188—22no—
434C2×D188—22no—
435C2×D188—41no—
436C2×D188—41no—
437C2×D188—41no—
438C2×D188—41no—
439C2×D188—41no—
440C2×D188—41no—
441C2×D188—41no—
442C2×D188—41no—
443C2×D188—41no—
444C2×D188—41no—
445C2×D188—41no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—416no—
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#4114yes—
465C4⋊C4×C47—22no—
466C4⋊C4×C47—41no—
467C4⋊C4×C47—41no—
468C4⋊C4×C47—41no—
469C4⋊C4×C47—41no—
470C4⋊C4×C47—41no—
471C22⋊C4×C47—22no—
472C22⋊C4×C47—22no—
473C22⋊C4×C47—22no—
474C22⋊C4×C47—41no—
475C22⋊C4×C47—41no—
476C22⋊C4×C47—41no—
477C22⋊C4×C47—41no—
478C22⋊C4×C47—41no—
479C22⋊C4×C47—41no—
480C22⋊C4×C47—41no—
481C22⋊C4×C47—41no—
482C42×C47—41no—
483C42×C47—41no—
484C42×C47—41no—
485C42×C47—41no—
486C22⋊Dic47—22no—
487C22⋊Dic47—22no—
488C22⋊Dic47—22no—
489C22⋊Dic47—22no—
490C22⋊Dic47—41no—
491C22⋊Dic47—41no—
492C22⋊Dic47—41no—
493(C2×D47)⋊C4—22no—
494(C2×D47)⋊C4—22no—
495(C2×D47)⋊C4—22no—
496(C2×D47)⋊C4—22no—
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—41no—
503(C2×D47)⋊C4—41no—
504(C2×D47)⋊C4—41no—
505(C2×D47)⋊C4—41no—
506(C2×D47)⋊C4—41no—
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—
529C4⋊Dic47—41no—
530C4⋊Dic47—41no—
531C4⋊Dic47—41no—
532C4⋊Dic47—41no—
533C4⋊Dic47—41no—
534C4⋊Dic47—41no—
535Dic47⋊C4—22no—
536Dic47⋊C4—22no—
537Dic47⋊C4—22no—
538Dic47⋊C4—22no—
539Dic47⋊C4—22no—
540Dic47⋊C4—41no—
541Dic47⋊C4—41no—
542Dic47⋊C4—41no—
543Dic47⋊C4—41no—
544Dic47⋊C4—41no—
545Dic47⋊C4—41no—
546Dic47⋊C4—41no—
547Dic47⋊C4—41no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550Dic47⋊C4—41no—
551Dic47⋊C4—41no—
552Dic47⋊C4—41no—
553C4×Dic47—41no—
554C4×Dic47—41no—
555C4×Dic47—41no—
556C4×Dic47—41no—
557C4×Dic47—41no—
558C23×C47—21no—
559C23×C47—21no—
560C23×C47—21no—
561C23×C47—21no—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47H(5,𝔽2)12yes—
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—21no—
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—21no—
599C22×D47—44no—
600C22×D47—44no—
601C22×D47—44no—
602C22×D47—44no—
603C22×D47—44no—
604C22×D47—44no—
605C22×D47—44no—
606C22×D47C2×#4112yes—
607C22×D47H(5,𝔽2)12yes—
608D4×C47—82no—
609C2×C4×C47—21no—
610C2×C4×C47—21no—
611C2×C4×C47—21no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—44no—
648C2×C4×C47C2×#4112yes—
649C22⋊D47—82no—
650C22⋊D47—82no—
651C22⋊D47—82no—
652C22⋊D47—82no—
653C22⋊D47—82no—
654C22⋊D47—82no—
655C2×Dic47—21no—
656C2×Dic47—21no—
657C2×Dic47—21no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—44no—
690C2×Dic47—82no—
691C2×Dic47C2×#4112yes—
692C2×Dic47H(5,𝔽2)12yes—
693D188—82no—
694D188—82no—
695D188—82no—
696D188—82no—
697D188—82no—
698C4×D47—28no—
699C4×D47—44no—
700C4×D47—44no—
701C4×D47—44no—
702C4×D47—82no—
703C4×D47—82no—
704#36734—471nomaximal, Sylow
705C22×C47—22no—
706C22×C47—22no—
707C22×C47—22no—
708C22×C47—41no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47—41no—
712C22×C47—41no—
713C22×C47—41no—
714C22×C47—41no—
715C22×C47—41no—
716C22×C47—41no—
717C22×C47—41no—
718C22×C47—41no—
719C22×C47C22×#4111yescharacteristic
720C22×C47C2×H(5,𝔽2)11yescharacteristic
721C22×C47C2×H(5,𝔽2)11yescharacteristic
722C22×C47C2×H(5,𝔽2)11yescharacteristic
723C22×C47#58511yescharacteristic
724C22×C47#58511yescharacteristic
725C22×C47#58511yescharacteristic
726C2×D47—22no—
727C2×D47—22no—
728C2×D47—22no—
729C2×D47—22no—
730C2×D47—22no—
731C2×D47—22no—
732C2×D47—416no—
733C2×D47—41no—
734C2×D47—41no—
735C2×D47—41no—
736C2×D47—41no—
737C2×D47—41no—
738C2×D47—41no—
739C2×D47—41no—
740C2×D47—41no—
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—
755C4×C47—22no—
756C4×C47—41no—
757C4×C47—41no—
758C4×C47—41no—
759C4×C47—41no—
760C4×C47—41no—
761C4×C47—41no—
762C4×C47—41no—
763C4×C47—41no—
764C4×C47—41no—
765C4×C47—41no—
766C4×C47—41no—
767C4×C47—41no—
768Dic47—22no—
769Dic47—22no—
770Dic47—41no—
771Dic47—41no—
772Dic47—41no—
773Dic47—41no—
774Dic47—41no—
775Dic47—41no—
776Dic47—41no—
777Dic47—41no—
778Dic47—41no—
779Dic47—41no—
780#2849—471no—
781#2847—471no—
782#2746—471no—
783#2746—471no—
784#2744—471no—
785#2743—471no—
786#2741—471no—
787#2722—471no—
788#2706—471no—
789#2705—471no—
790#2701—471no—
791#2699—471no—
792#2691—471no—
793#2685—471no—
794#2685—471no—
795#2678—471no—
796#2671—471no—
797#2668—471no—
798#2667—471no—
799#2661—471no—
800#2595D4711yescharacteristic, complemented
801#2576—471no—
802#2559—471no—
803#2559—471no—
804#2479—471no—
805#2476—471no—
806#2471—471no—
807#2470—471no—
808#2335—471no—
809#2333—471no—
810#2280—471no—
811C2×C47—42no—
812C2×C47—81no—
813C2×C47#345511yescharacteristic
814C2×C47#349011yescharacteristic
815C2×C47#349411yescharacteristic
816C2×C47#353311yescharacteristic
817C2×C47#353411yescharacteristic
818C2×C47#353911yescharacteristic
819C2×C47#354211yescharacteristic
820D47—42no—
821D47—42no—
822D47—81no—
823D47—81no—
824C24×C4—471no—
825C2×#126—471no—
826C2×#126—471no—
827C2×#126—471no—
828C2×#123—471no—
829C2×#123—471no—
830C2×#123—471no—
831C2×#123—471no—
832C2×#121—471no—
833C2×#121—471no—
834C2×#121—471no—
835C2×#121—471no—
836C2×#121—471no—
837C2×#121—471no—
838C2×#120—471no—
839C2×#120—471no—
840C2×#120—471no—
841C2×#117—471no—
842C2×#117—471no—
843#401—471no—
844#400—471no—
845#400—471no—
846#400—471no—
847#400C2×D4711yescharacteristic, complemented
848#399—471no—
849#399—471no—
850#399—471no—
851#399—471no—
852#399—471no—
853#398—471no—
854#398—471no—
855#398—471no—
856#398—471no—
857#398—471no—
858#398—471no—
859#398—471no—
860#397—471no—
861#397—471no—
862#397—471no—
863#397—471no—
864#397C2×D4711yescharacteristic
865#397C2×D4711yescharacteristic, complemented
866#396—471no—
867#396—471no—
868#396—471no—
869#396—471no—
870#396—471no—
871#394—471no—
872#394—471no—
873#394—471no—
874#394—471no—
875#394—471no—
876#394—471no—
877#394—471no—
878#394—471no—
879#394—471no—
880#394—471no—
881#394—471no—
882#394—471no—
883#394—471no—
884#394—471no—
885#394—471no—
886#394C2×D4711yescharacteristic
887#392—471no—
888#392—471no—
889#392—471no—
890#392—471no—
891#390—471no—
892#390—471no—
893#390—471no—
894#390—471no—
895#390—471no—
896#390—471no—
897#390—471no—
898#390C2×D4711yescharacteristic
899#389—471no—
900#389—471no—
901#389—471no—
902#389—471no—
903#388—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#388C2×D4711yescharacteristic
917#388C2×D4711yescharacteristic, complemented
918#388C2×D4711yescharacteristic, complemented
919#388C2×D4711yescharacteristic, complemented
920#387—471no—
921#387—471no—
922#387—471no—
923#387—471no—
924#387—471no—
925#387—471no—
926#387—471no—
927#387C2×D4711yescharacteristic, complemented
928#387C2×D4711yescharacteristic, complemented
929#386—471no—
930#386—471no—
931#386—471no—
932#386—471no—
933#386—471no—
934#386—471no—
935#386—471no—
936#386—471no—
937#386—471no—
938#386—471no—
939#386—471no—
940#386—471no—
941#386—471no—
942#386—471no—
943#386—471no—
944#386—471no—
945#386C2×D4711yescharacteristic
946#385—471no—
947#385—471no—
948#385—471no—
949#385—471no—
950#385—471no—
951#385—471no—
952#385—471no—
953#385—471no—
954#385C2×D4711yescharacteristic
955#382—471no—
956#381—471no—
957#381—471no—
958#381—471no—
959#381—471no—
960#381—471no—
961#380—471no—
962#380—471no—
963#380—471no—
964#380—471no—
965#380—471no—
966#380—471no—
967#380—471no—
968#379—471no—
969#379—471no—
970#379—471no—
971C4×C4⋊C4C2×D4711yescharacteristic, complemented
972C4×C22⋊C4—471no—
973C4×C22⋊C4—471no—
974C4×C22⋊C4—471no—
975C4×C22⋊C4—471no—
976C4×C22⋊C4—471no—
977C4×C22⋊C4—471no—
978C4×C22⋊C4C2×D4711yescharacteristic
979C47#3673411yescharacteristic, complemented, Sylow
980C25—471no—
981C22×D4—471no—
982C22×D4—471no—
983C22×D4—471no—
984C22×D4—471no—
985C22×D4—471no—
986C22×D4—471no—
987C22×D4—471no—
988C22×D4—471no—
989C22×D4—471no—
990C22×D4—471no—
991C22×D4—471no—
992C22×D4C22×D4711yescharacteristic
993C23×C4—471no—
994C23×C4—471no—
995C23×C4—471no—
996C23×C4—471no—
997C23×C4—471no—
998C23×C4—471no—
999C23×C4—471no—
1000C23×C4—471no—
1001C23×C4—944no—
1002C23×C4—1882no—
1003C23×C4—1882no—
1004C23×C4C22×D4711yescharacteristic
1005#126—1882no—
1006#126—1882no—
1007#126—1882no—
1008#123—944no—
1009#123—1882no—
1010#123—1882no—
1011#123—1882no—
1012#121—944no—
1013#121—1882no—
1014#121—1882no—
1015#121—1882no—
1016#121—1882no—
1017#121—1882no—
1018#120—1882no—
1019#120—1882no—
1020#120—1882no—
1021#117—1882no—
1022#117—1882no—
1023C2×C4⋊C4—471no—
1024C2×C4⋊C4—471no—
1025C2×C4⋊C4—471no—
1026C2×C4⋊C4—471no—
1027C2×C4⋊C4—471no—
1028C2×C4⋊C4—471no—
1029C2×C4⋊C4—471no—
1030C2×C4⋊C4—471no—
1031C2×C4⋊C4—471no—
1032C2×C4⋊C4—471no—
1033C2×C4⋊C4—471no—
1034C2×C4⋊C4—471no—
1035C2×C4⋊C4—471no—
1036C2×C4⋊C4—471no—
1037C2×C4⋊C4—471no—
1038C2×C4⋊C4—471no—
1039C2×C4⋊C4—471no—
1040C2×C4⋊C4—471no—
1041C2×C4⋊C4—471no—
1042C2×C4⋊C4—471no—
1043C2×C4⋊C4—471no—
1044C2×C4⋊C4—471no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
1047C2×C4⋊C4C22×D4711yescharacteristic
1048C2×C4⋊C4C22×D4711yescharacteristic
1049C2×C4⋊C4C22×D4711yescharacteristic
1050C2×C4⋊C4C22×D4711yescharacteristic
1051C2×C4⋊C4C22×D4711yescharacteristic
1052C2×C4⋊C4C22×D4711yescharacteristic
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⋊C4C22×D4711yescharacteristic
1097C2×C22⋊C4C22×D4711yescharacteristic
1098C2×C22⋊C4C22×D4711yescharacteristic
1099C2×C22⋊C4C22×D4711yescharacteristic
1100C2×C22⋊C4C22×D4711yescharacteristic
1101C2×C22⋊C4C22×D4711yescharacteristic
1102C2×C22⋊C4C22×D4711yescharacteristic
1103C2×C22⋊C4C22×D4711yescharacteristic
1104C2×C22⋊C4C22×D4711yescharacteristic
1105C2×C22⋊C4C22×D4711yescharacteristic
1106C2×C22⋊C4C22×D4711yescharacteristic
1107C2×C42—471no—
1108C2×C42—471no—
1109C2×C42—471no—
1110C2×C42—471no—
1111C2×C42—471no—
1112C2×C42C22×D4711yescharacteristic
1113C2×C42C22×D4711yescharacteristic
1114C2×C42C22×D4711yescharacteristic
1115C2×C42C22×D4711yescharacteristic
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126#95—471no—
1127#95—471no—
1128#95—471no—
1129#95—471no—
1130#95—471no—
1131#95—471no—
1132#95—471no—
1133#95—471no—
1134#95—471no—
1135#95—471no—
1136#95—471no—
1137#95—471no—
1138#95—471no—
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95C22×D4711yescharacteristic
1145#95C22×D4711yescharacteristic
1146#95C22×D4711yescharacteristic
1147#95C22×D4711yescharacteristic
1148#95C22×D4711yescharacteristic
1149#95C22×D4711yescharacteristic
1150#95C22×D4711yescharacteristic
1151#95C22×D4711yescharacteristic
1152#95C22×D4711yescharacteristic
1153#95C22×D4711yescharacteristic
1154#95C22×D4711yescharacteristic
1155#95C22×D4711yescharacteristic
1156C24—471no—
1157C24—471no—
1158C24—471no—
1159C24—471no—
1160C24—942no—
1161C24—942no—
1162C24—942no—
1163C24—1881no—
1164C24—1881no—
1165C24—1881no—
1166C24—1881no—
1167C24C23×D4711yescharacteristic
1168C24C23×D4711yescharacteristic
1169C2×D4—22no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4—942no—
1173C2×D4—942no—
1174C2×D4—942no—
1175C2×D4—942no—
1176C2×D4—942no—
1177C2×D4—942no—
1178C2×D4—942no—
1179C2×D4—942no—
1180C2×D4—942no—
1181C2×D4—1881no—
1182C2×D4—1881no—
1183C2×D4—1881no—
1184C2×D4—1881no—
1185C2×D4—1881no—
1186C2×D4—1881no—
1187C2×D4—1881no—
1188C2×D4—1881no—
1189C2×D4—1881no—
1190C2×D4—1881no—
1191C2×D4—1881no—
1192C2×D4—1881no—
1193C2×D4—1881no—
1194C2×D4—1881no—
1195C2×D4—1881no—
1196C2×D4—1881no—
1197C2×D4—1881no—
1198C2×D4—1881no—
1199C2×D4—1881no—
1200C2×D4—1881no—
1201C2×D4—1881no—
1202C2×D4—1881no—
1203C2×D4—1881no—
1204C2×D4—1881no—
1205C22×C4—22no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—471no—
1209C22×C4—471no—
1210C22×C4—474no—
1211C22×C4—471no—
1212C22×C4—471no—
1213C22×C4—471no—
1214C22×C4—471no—
1215C22×C4—471no—
1216C22×C4—471no—
1217C22×C4—471no—
1218C22×C4—471no—
1219C22×C4—471no—
1220C22×C4—471no—
1221C22×C4—942no—
1222C22×C4—942no—
1223C22×C4—942no—
1224C22×C4—942no—
1225C22×C4—942no—
1226C22×C4—942no—
1227C22×C4—942no—
1228C22×C4—942no—
1229C22×C4—942no—
1230C22×C4—1881no—
1231C22×C4—1881no—
1232C22×C4—1881no—
1233C22×C4—1881no—
1234C22×C4—1881no—
1235C22×C4—1881no—
1236C22×C4—1881no—
1237C22×C4—1881no—
1238C22×C4—1881no—
1239C22×C4—1881no—
1240C22×C4—18816no—
1241C22×C4—1881no—
1242C22×C4—1881no—
1243C22×C4—1881no—
1244C22×C4—1881no—
1245C22×C4C23×D4711yescharacteristic
1246C22×C4C23×D4711yescharacteristic
1247C22×C4C23×D4711yescharacteristic
1248C22×C4C23×D4711yescharacteristic
1249C22×C4C23×D4711yescharacteristic
1250C22×C4C23×D4711yescharacteristic
1251C22×C4C23×D4711yescharacteristic
1252C22×C4C23×D4711yescharacteristic
1253C22×C4C23×D4711yescharacteristic
1254C22×C4C23×D4711yescharacteristic
1255C22×C4C23×D4711yescharacteristic
1256C22×C4C23×D4711yescharacteristic
1257C22×C4C23×D4711yescharacteristic
1258C4⋊C4—22no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C4⋊C4—41no—
1264C4⋊C4—942no—
1265C4⋊C4—942no—
1266C4⋊C4—942no—
1267C4⋊C4—942no—
1268C4⋊C4—942no—
1269C4⋊C4—1881no—
1270C4⋊C4—1881no—
1271C4⋊C4—1881no—
1272C4⋊C4—1881no—
1273C4⋊C4—1881no—
1274C4⋊C4—1881no—
1275C4⋊C4—1881no—
1276C4⋊C4—1881no—
1277C4⋊C4—1881no—
1278C4⋊C4—1881no—
1279C4⋊C4—1881no—
1280C4⋊C4—1881no—
1281C4⋊C4—1881no—
1282C4⋊C4—1881no—
1283C4⋊C4—1881no—
1284C4⋊C4—1881no—
1285C4⋊C4—1881no—
1286C4⋊C4—1881no—
1287C4⋊C4—1881no—
1288C22⋊C4—22no—
1289C22⋊C4—22no—
1290C22⋊C4—22no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—942no—
1300C22⋊C4—942no—
1301C22⋊C4—942no—
1302C22⋊C4—942no—
1303C22⋊C4—942no—
1304C22⋊C4—942no—
1305C22⋊C4—942no—
1306C22⋊C4—942no—
1307C22⋊C4—942no—
1308C22⋊C4—942no—
1309C22⋊C4—942no—
1310C22⋊C4—942no—
1311C22⋊C4—942no—
1312C22⋊C4—1881no—
1313C22⋊C4—1881no—
1314C22⋊C4—1881no—
1315C22⋊C4—1881no—
1316C22⋊C4—1881no—
1317C22⋊C4—1881no—
1318C22⋊C4—1881no—
1319C22⋊C4—1881no—
1320C22⋊C4—1881no—
1321C22⋊C4—1881no—
1322C22⋊C4—1881no—
1323C22⋊C4—1881no—
1324C22⋊C4—1881no—
1325C22⋊C4—1881no—
1326C22⋊C4—1881no—
1327C22⋊C4—1881no—
1328C22⋊C4—1881no—
1329C22⋊C4—1881no—
1330C22⋊C4—1881no—
1331C22⋊C4—1881no—
1332C22⋊C4—1881no—
1333C22⋊C4—1881no—
1334C22⋊C4—1881no—
1335C22⋊C4—1881no—
1336C22⋊C4—1881no—
1337C22⋊C4—1881no—
1338C22⋊C4—1881no—
1339C22⋊C4—1881no—
1340C22⋊C4—1881no—
1341C22⋊C4—1881no—
1342C42—41no—
1343C42—41no—
1344C42—41no—
1345C42—41no—
1346C42—1881no—
1347C42—1881no—
1348C42—1881no—
1349C42—1881no—
1350C42—1881no—
1351C23—21no—
1352C23—21no—
1353C23—21no—
1354C23—21no—
1355C23—21no—
1356C23—21no—
1357C23—21no—
1358C23—21no—
1359C23—21no—
1360C23—21no—
1361C23—21no—
1362C23—21no—
1363C23—21no—
1364C23—472no—
1365C23—472no—
1366C23—941no—
1367C23—941no—
1368C23—941no—
1369C23—941no—
1370C23—941no—
1371C23—941no—
1372C23—941no—
1373C23—941no—
1374C23—941no—
1375C23—941no—
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—1884no—
1393C23—1884no—
1394C23—1884no—
1395C23—1884no—
1396C23—1884no—
1397C23—1884no—
1398C23—1884no—
1399C23#1309407012yes—
1400C23C24×D4711yescharacteristic
1401D4—82no—
1402D4—3762no—
1403D4—3762no—
1404D4—3762no—
1405D4—3762no—
1406D4—3762no—
1407D4—3762no—
1408D4—3762no—
1409D4—3762no—
1410D4—3762no—
1411D4—3762no—
1412D4—3762no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—21no—
1419C2×C4—21no—
1420C2×C4—21no—
1421C2×C4—21no—
1422C2×C4—21no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—21no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—44no—
1452C2×C4—472no—
1453C2×C4—472no—
1454C2×C4—948no—
1455C2×C4—941no—
1456C2×C4—941no—
1457C2×C4—941no—
1458C2×C4—941no—
1459C2×C4—941no—
1460C2×C4—941no—
1461C2×C4—941no—
1462C2×C4—941no—
1463C2×C4—941no—
1464C2×C4—941no—
1465C2×C4—941no—
1466C2×C4—941no—
1467C2×C4—941no—
1468C2×C4—941no—
1469C2×C4—941no—
1470C2×C4—941no—
1471C2×C4—941no—
1472C2×C4—941no—
1473C2×C4—941no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—3762no—
1490C2×C4—3762no—
1491C2×C4—3762no—
1492C2×C4—1884no—
1493C2×C4—1884no—
1494C2×C4—1884no—
1495C2×C4—1884no—
1496C2×C4#41×D4712yes—
1497C22—22no—
1498C22—22no—
1499C22—22no—
1500C22—41no—
1501C22—41no—
1502C22—41no—
1503C22—41no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—41no—
1509C22—41no—
1510C22—41no—
1511C22—942no—
1512C22—942no—
1513C22—942no—
1514C22—942no—
1515C22—942no—
1516C22—942no—
1517C22—18816no—
1518C22—1881no—
1519C22—1881no—
1520C22—1881no—
1521C22—1881no—
1522C22—1881no—
1523C22—1881no—
1524C22—1881no—
1525C22—1881no—
1526C22—1881no—
1527C22—1881no—
1528C22—1881no—
1529C22—1881no—
1530C22—1881no—
1531C22—1881no—
1532C22—1881no—
1533C22—1881no—
1534C22—1881no—
1535C22—1881no—
1536C22—1881no—
1537C22—1881no—
1538C22—1881no—
1539C22—1881no—
1540C22C2×#41×D4711yescharacteristic
1541C22H(5,𝔽2)×D4711yescharacteristic
1542C22H(5,𝔽2)×D4711yescharacteristic
1543C22C2×#1309407011yescharacteristic
1544C22#1568995911yescharacteristic
1545C22#1568995911yescharacteristic
1546C22#1568995911yescharacteristic
1547C4—22no—
1548C4—41no—
1549C4—41no—
1550C4—41no—
1551C4—41no—
1552C4—41no—
1553C4—41no—
1554C4—41no—
1555C4—41no—
1556C4—41no—
1557C4—41no—
1558C4—41no—
1559C4—41no—
1560C4—942no—
1561C4—942no—
1562C4—1881no—
1563C4—1881no—
1564C4—1881no—
1565C4—1881no—
1566C4—1881no—
1567C4—1881no—
1568C4—1881no—
1569C4—1881no—
1570C4—1881no—
1571C4—1881no—
1572C2—42no—
1573C2—81no—
1574C2—3761no—
1575C2—3761no—
1576C2—1882no—
1577C2—1882no—
1578C2#2025677111yescharacteristic
1579C2#2025707411yescharacteristic
1580C2#2025711111yescharacteristic
1581C2#2025756211yescharacteristic
1582C2#2025756511yescharacteristic
1583C2#2025763811yescharacteristic
1584C2#2025769711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2595C2
hypercenter#2595D47
hypocenterC47#36734
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2595

Complements

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

NH ≅ G/Ntype
1. #20251683C2semidirect
2. #20251669C2semidirect
3. #20250577C2semidirect
4. #20250573C2semidirect
5. #20250539C2semidirect
6. #20250532C2semidirect
7. #20250500C2semidirect
8. #20250295C2semidirect
9. #20250069C2semidirect
10. #20250062C2semidirect
11. #20250006C2semidirect
12. #20249972C2semidirect
13. #20249870C2semidirect
14. #20249781C2semidirect
15. #20249777C2semidirect
16. #20249708C2semidirect
17. #20249617C2semidirect
18. #20249598C2semidirect
19. #20249588C2semidirect
20. #20249520C2semidirect
21. #20248691C2semidirect
22. #20248514C2semidirect
23. #20248511C2semidirect
24. #20247619C2semidirect
25. #20247581C2semidirect
26. #20247501C2semidirect
27. #20247489C2semidirect
28. #20246172C2semidirect
29. #20246151C2semidirect
30. #20245769C2semidirect
31. C47×#2595C2semidirect
33. C2×#13094018C22semidirect
39. C2×#13094006C22semidirect
51. C47⋊#401C22semidirect
52. #15689064C22semidirect
53. #15689063C22semidirect
54. #15689063C22semidirect
58. #15689058C22semidirect
59. #15689058C22semidirect
60. #15689057C22semidirect
61. #15689057C22semidirect
62. #15689057C22semidirect
63. #15689057C22semidirect
64. #15689056C22semidirect
65. #15689056C22semidirect
66. #15689053C22semidirect
68. #15689052C22semidirect
69. #15689051C22semidirect
72. #15689046C22semidirect
75. #15689045C22semidirect
79. #15689041C22semidirect
80. #15689041C22semidirect
86. #15689039C22semidirect
89. #15689038C22semidirect
94. #15689032C22semidirect
97. #15689025C22semidirect
101. #15689023C22semidirect
102. #15689021C22semidirect
103. #15689020C22semidirect
104. #15689020C22semidirect
105. #15689020C22semidirect
109. #15689015C22semidirect
112. #15689014C22semidirect
113. #15689014C22semidirect
115. #15689013C22semidirect
116. #15689012C22semidirect
117. #15689012C22semidirect
118. #15689012C22semidirect
119. #15689010C22semidirect
120. #15689009C22semidirect
121. #15689007C22semidirect
122. #15689007C22semidirect
123. #15689005C22semidirect
124. #15689005C22semidirect
125. #15689004C22semidirect
137. #15689000C22semidirect
141. #15688999C22semidirect
142. #15688997C22semidirect
144. #15688995C22semidirect
145. #15688995C22semidirect
148. #15688994C22semidirect
149. #15688994C22semidirect
150. #15688988C22semidirect
155. #15688985C22semidirect
166. C22⋊C4×Dic47C22semidirect
169. C4×(C2×D47)⋊C4C22semidirect
171. #15688970C22semidirect
172. C47×#400C22semidirect
174. C47×#397C22semidirect
178. C47×#388C22semidirect
179. C47×#388C22semidirect
180. C47×#388C22semidirect
181. C47×#387C22semidirect
182. C47×#387C22semidirect
185. C4×C4⋊C4×C47C22semidirect
800. #2595D47semidirect
847. #400C2×D47semidirect
865. #397C2×D47semidirect
917. #388C2×D47semidirect
918. #388C2×D47semidirect
919. #388C2×D47semidirect
927. #387C2×D47semidirect
928. #387C2×D47semidirect
971. C4×C4⋊C4C2×D47semidirect
979. C47#36734semidirect

Maximal subgroups

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

subgroupindex
#202516832
#202516692
#202505772
#202505732
#202505392
#202505322
#202505002
#202502952
#202500692
#202500622
#202500062
#202499722
#202498702
#202497812
#202497772
#202497082
#202496172
#202495982
#202495882
#202495202
#202486912
#202485142
#202485112
#202476192
#202475812
#202475012
#202474892
#202461722
#202461512
#202457692
C47×#25952
#3673447