Finite Group Databasebeta

← #26388596

Subgroups — #26388596

Order 12032.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1558 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20248113C211yesmaximal, characteristic, complemented
2#20248110C211yesmaximal, characteristic, complemented
3#20248104C211yesmaximal, characteristic, complemented
4#20248103C211yesmaximal, characteristic, complemented
5#20248028C211yesmaximal, characteristic, complemented
6#20248027C211yesmaximal, characteristic, complemented
7#20248021C211yesmaximal, characteristic, complemented
8#20248018C211yesmaximal, characteristic, complemented
9#20247401C211yesmaximal, characteristic, complemented
10#20247398C211yesmaximal, characteristic, complemented
11#20247392C211yesmaximal, characteristic, complemented
12#20247391C211yesmaximal, characteristic, complemented
13#20247301C211yesmaximal, characteristic, complemented
14#20247300C211yesmaximal, characteristic, complemented
15#20247294C211yesmaximal, characteristic, complemented
16#20247291C211yesmaximal, characteristic, complemented
17#20246695C211yesmaximal, characteristic, complemented
18#20246667C211yesmaximal, characteristic, complemented
19#20246632C211yesmaximal, characteristic, complemented
20#20246632C211yesmaximal, characteristic, complemented
21C4×#13094009C211yesmaximal, characteristic, complemented
22C4×#13094008C211yesmaximal, characteristic, complemented
23C4×#13094006C211yesmaximal, characteristic, complemented
24C4×#13093999C211yesmaximal, characteristic, complemented
25C4×#13093998C211yesmaximal, characteristic, complemented
26C4×#13093997C211yesmaximal, characteristic, complemented
27C4×#13093996C211yesmaximal, characteristic, complemented
28#20245881C211yesmaximal, characteristic, complemented
29C42×C22⋊D47C211yesmaximal, characteristic, complemented
30C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
31C4×#123×C47C211yesmaximal, characteristic, complemented
32C2×#13094009C2211yescharacteristic
33C2×#13094008C2211yescharacteristic
34C2×#13094006C2211yescharacteristic
35C2×#13093999C2211yescharacteristic
36C2×#13093998C2211yescharacteristic
37C2×#13093997C2211yescharacteristic
38C2×#13093996C2211yescharacteristic
39C2×C4×D188C2211yescharacteristic
40C2×C4×D188C2211yescharacteristic
41C2×C4×D188C2211yescharacteristic
42C2×C4×C22⋊D47C2211yescharacteristic
43C2×C4×C22⋊D47C2211yescharacteristic
44C2×C4×C22⋊D47C2211yescharacteristic
45C2×C4×C22⋊D47C2211yescharacteristic
46C2×C4×C22⋊D47C2211yescharacteristic
47C2×C4×C22⋊D47C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×(C22⋊D47)⋊C4C2211yescharacteristic
51C2×(C22⋊D47)⋊C4C2211yescharacteristic
52C2×#13093981C2211yescharacteristic
53C22×C4×Dic47C2211yescharacteristic
54C2×C42×D47C2211yescharacteristic
55C2×C42×D47C2211yescharacteristic
56#15689064C2211yescharacteristic
57#15689064C2211yescharacteristic
58#15689063C2211yescharacteristic
59#15689061C2211yescharacteristic
60#15689059C2211yescharacteristic
61#15689059C2211yescharacteristic
62#15689058C2211yescharacteristic
63#15689058C2211yescharacteristic
64#15689057C2211yescharacteristic
65#15689057C2211yescharacteristic
66#15689057C2211yescharacteristic
67#15689056C2211yescharacteristic
68#15689054C2211yescharacteristic
69#15689053C2211yescharacteristic
70#15689052C2211yescharacteristic
71#15689052C2211yescharacteristic
72#15689047C2211yescharacteristic
73#15689047C2211yescharacteristic
74#15689046C2211yescharacteristic
75#15689046C2211yescharacteristic
76#15689041C2211yescharacteristic
77#15689041C2211yescharacteristic
78#15689038C2211yescharacteristic
79#15689038C2211yescharacteristic
80#15689038C2211yescharacteristic
81#15689038C2211yescharacteristic
82#15689032C2211yescharacteristic
83#15689032C2211yescharacteristic
84#15689032C2211yescharacteristic
85#15689032C2211yescharacteristic
86#15689031C2211yescharacteristic
87#15689031C2211yescharacteristic
88#15689025C2211yescharacteristic
89#15689024C2211yescharacteristic
90#15689023C2211yescharacteristic
91#15689023C2211yescharacteristic
92#15689022C2211yescharacteristic
93#15689021C2211yescharacteristic
94#15689020C2211yescharacteristic
95#15689018C2211yescharacteristic
96#15689017C2211yescharacteristic
97#15689017C2211yescharacteristic
98#15689016C2211yescharacteristic
99#15689016C2211yescharacteristic
100#15689015C2211yescharacteristic
101#15689015C2211yescharacteristic
102#15689015C2211yescharacteristic
103#15689015C2211yescharacteristic
104#15689015C2211yescharacteristic
105#15689015C2211yescharacteristic
106#15689014C2211yescharacteristic
107#15689014C2211yescharacteristic
108#15689013C2211yescharacteristic
109#15689013C2211yescharacteristic
110#15689013C2211yescharacteristic
111#15689013C2211yescharacteristic
112#15689012C2211yescharacteristic
113#15689012C2211yescharacteristic
114#15689010C2211yescharacteristic
115#15689010C2211yescharacteristic
116#15689010C2211yescharacteristic
117#15689009C2211yescharacteristic
118#15689008C2211yescharacteristic
119#15689008C2211yescharacteristic
120#15689006C2211yescharacteristic
121#15689005C2211yescharacteristic
122#15689004C2211yescharacteristic
123#15689004C2211yescharacteristic
124#15689003C2211yescharacteristic
125#15689002C2211yescharacteristic
126#15689002C2211yescharacteristic
127#15689001C2211yescharacteristic
128#15689001C2211yescharacteristic
129#15689001C2211yescharacteristic
130#15689001C2211yescharacteristic
131#15689000C2211yescharacteristic
132#15689000C2211yescharacteristic
133#15688999C2211yescharacteristic
134#15688999C2211yescharacteristic
135#15688998C2211yescharacteristic
136#15688997C2211yescharacteristic
137#15688994C2211yescharacteristic
138#15688985C2211yescharacteristic
139#15688985C2211yescharacteristic
140#15688984C2211yescharacteristic
141#15688983C2211yescharacteristic
142#15688982C2211yescharacteristic
143#15688981C2211yescharacteristic
144#15688980C2211yescharacteristic
145C4×Dic47⋊C4C2211yescharacteristic
146C4×Dic47⋊C4C2211yescharacteristic
147C4×Dic47⋊C4C2211yescharacteristic
148C4×Dic47⋊C4C2211yescharacteristic
149C4×Dic47⋊C4C2211yescharacteristic
150C4×Dic47⋊C4C2211yescharacteristic
151C4×C4⋊Dic47C2211yescharacteristic
152C4×C4⋊Dic47C2211yescharacteristic
153#15688974C2211yescharacteristic
154#15688974C2211yescharacteristic
155C22⋊C4×Dic47C2211yescharacteristic
156C22⋊C4×Dic47C2211yescharacteristic
157C4×(C2×D47)⋊C4C2211yescharacteristic
158C4×(C2×D47)⋊C4C2211yescharacteristic
159C4×(C2×D47)⋊C4C2211yescharacteristic
160C4×(C2×D47)⋊C4C2211yescharacteristic
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic
165C4×C22⋊Dic47C2211yescharacteristic
166C4×C22⋊Dic47C2211yescharacteristic
167C4×C22⋊Dic47C2211yescharacteristic
168#15688970C2211yescharacteristic
169#15688970C2211yescharacteristic
170#15688969C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C2×#123×C47C2211yescharacteristic
173C2×C4×D4×C47C2211yescharacteristic
174C22×C42×C47C2211yescharacteristic
175C47×#388C2211yescharacteristic
176C47×#388C2211yescharacteristic
177C47×#387C2211yescharacteristic
178C47×#387C2211yescharacteristic
179C47×#386C2211yescharacteristic
180C47×#385C2211yescharacteristic
181C47×#381C2211yescharacteristic
182C4×C4⋊C4×C47C2211yescharacteristic
183C4×C4⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C22×D188C2311yescharacteristic
188C22×D188C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205#13094009—24no—
206#13094008—24no—
207#13094006—24no—
208#13093999—24no—
209#13093998—24no—
210#13093997—24no—
211#13093996—24no—
212C4×D188—42no—
213C4×D188—42no—
214C4×D188—42no—
215C4×C22⋊D47—24no—
216C4×C22⋊D47—24no—
217C4×C22⋊D47—24no—
218C4×C22⋊D47—24no—
219C4×C22⋊D47—42no—
220C4×C22⋊D47—42no—
221C4×C22⋊D47—42no—
222C4×C22⋊D47—42no—
223(C22⋊D47)⋊C4—24no—
224(C22⋊D47)⋊C4—24no—
225#13093981—24no—
226C2×C4⋊Dic47C2311yescharacteristic
227C2×C4⋊Dic47C2311yescharacteristic
228C2×C4⋊Dic47C2311yescharacteristic
229C2×C4⋊Dic47C2311yescharacteristic
230C2×C4⋊Dic47C2311yescharacteristic
231C2×C4⋊Dic47C2311yescharacteristic
232C2×C4⋊Dic47C2311yescharacteristic
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
249C2×C22⋊Dic47C2311yescharacteristic
250C2×C22⋊Dic47C2311yescharacteristic
251C2×C22⋊Dic47C2311yescharacteristic
252C2×C22⋊Dic47C2311yescharacteristic
253C2×C22⋊Dic47C2311yescharacteristic
254C2×C22⋊Dic47C2311yescharacteristic
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×(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×C4×Dic47—42no—
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C42×D47—42no—
300C42×D47—42no—
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C22×D4×C47C2311yescharacteristic
332C23×C4×C47C2311yescharacteristic
333C23×C4×C47C2311yescharacteristic
334C23×C4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336#123×C47—24no—
337C4×D4×C47—42no—
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C22⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C42×C47—42no—
352C2×C42×C47C2311yescharacteristic
353C2×C42×C47C2311yescharacteristic
354C2×C42×C47C2311yescharacteristic
355C2×C42×C47C2311yescharacteristic
356C2×C42×C47C2311yescharacteristic
357C2×C42×C47C2311yescharacteristic
358C2×C42×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47C2411yescharacteristic
370C24×C47C2411yescharacteristic
371C23×D47C2411yescharacteristic
372C23×D47C2411yescharacteristic
373C23×D47C2411yescharacteristic
374C2×D4×C47—22no—
375C2×D4×C47—22no—
376C2×D4×C47—41no—
377C22×C4×C47—22no—
378C22×C4×C47—22no—
379C22×C4×C47—22no—
380C22×C4×C47—22no—
381C22×C4×C47—22no—
382C22×C4×C47—22no—
383C22×C4×C47—22no—
384C22×C4×C47—22no—
385C22×C4×C47—22no—
386C22×C4×C47—22no—
387C22×C4×C47—41no—
388C22×C4×C47—41no—
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
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
402C2×C22⋊D47—22no—
403C2×C22⋊D47—22no—
404C2×C22⋊D47—22no—
405C2×C22⋊D47—22no—
406C2×C22⋊D47—22no—
407C2×C22⋊D47—22no—
408C2×C22⋊D47—22no—
409C2×C22⋊D47—22no—
410C2×C22⋊D47—22no—
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—22no—
414C2×C22⋊D47—22no—
415C2×C22⋊D47—22no—
416C2×C22⋊D47—41no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47—41no—
420C22×Dic47—22no—
421C22×Dic47—22no—
422C22×Dic47—22no—
423C22×Dic47—22no—
424C22×Dic47—41no—
425C22×Dic47—41no—
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C2×D188—22no—
440C2×D188—22no—
441C2×D188—22no—
442C2×D188—22no—
443C2×D188—22no—
444C2×D188—22no—
445C2×D188—41no—
446C2×D188—41no—
447C2×D188—41no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
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—22no—
463C2×C4×D47—22no—
464C2×C4×D47—22no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C4⋊C4×C47—22no—
470C4⋊C4×C47—22no—
471C4⋊C4×C47—22no—
472C4⋊C4×C47—22no—
473C4⋊C4×C47—41no—
474C22⋊C4×C47—22no—
475C22⋊C4×C47—22no—
476C22⋊C4×C47—22no—
477C22⋊C4×C47—22no—
478C22⋊C4×C47—22no—
479C22⋊C4×C47—41no—
480C22⋊C4×C47—41no—
481C22⋊C4×C47#4114yes—
482C42×C47—22no—
483C42×C47—22no—
484C42×C47—22no—
485C42×C47—22no—
486C42×C47—22no—
487C42×C47—41no—
488C42×C47—41no—
489C22⋊Dic47—22no—
490C22⋊Dic47—22no—
491C22⋊Dic47—22no—
492C22⋊Dic47—41no—
493C22⋊Dic47—41no—
494C22⋊Dic47—41no—
495C22⋊Dic47—41no—
496C22⋊Dic47#4114yes—
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—22no—
508(C2×D47)⋊C4—22no—
509(C2×D47)⋊C4—22no—
510(C2×D47)⋊C4—22no—
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#4114yes—
522(C2×D47)⋊C4#4114yes—
523C4⋊Dic47—22no—
524C4⋊Dic47—22no—
525C4⋊Dic47—22no—
526C4⋊Dic47—22no—
527C4⋊Dic47—41no—
528C4⋊Dic47—41no—
529C4⋊Dic47—41no—
530Dic47⋊C4—22no—
531Dic47⋊C4—22no—
532Dic47⋊C4—22no—
533Dic47⋊C4—22no—
534Dic47⋊C4—22no—
535Dic47⋊C4—22no—
536Dic47⋊C4—22no—
537Dic47⋊C4—22no—
538Dic47⋊C4—22no—
539Dic47⋊C4—22no—
540Dic47⋊C4—22no—
541Dic47⋊C4—22no—
542Dic47⋊C4—41no—
543Dic47⋊C4—41no—
544Dic47⋊C4—41no—
545Dic47⋊C4—41no—
546C4×Dic47—22no—
547C4×Dic47—22no—
548C4×Dic47—22no—
549C4×Dic47—22no—
550C4×Dic47—22no—
551C4×Dic47—22no—
552C4×Dic47—22no—
553C4×Dic47—22no—
554C4×Dic47—41no—
555C4×Dic47—41no—
556C4×Dic47—41no—
557C4×Dic47—41no—
558C4×Dic47—41no—
559C4×Dic47—41no—
560C4×Dic47#4114yes—
561C23×C47—21no—
562C23×C47—21no—
563C23×C47—21no—
564C23×C47—21no—
565C23×C47—21no—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47—21no—
573C23×C47C2×#4112yes—
574C23×C47C2×#4112yes—
575C23×C47C2511yescharacteristic
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×D47C2×#4112yes—
596C22×D47C2×#4112yes—
597D4×C47—44no—
598C2×C4×C47—21no—
599C2×C4×C47—21no—
600C2×C4×C47—21no—
601C2×C4×C47—21no—
602C2×C4×C47—21no—
603C2×C4×C47—21no—
604C2×C4×C47—21no—
605C2×C4×C47—21no—
606C2×C4×C47—21no—
607C2×C4×C47—21no—
608C2×C4×C47—21no—
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—44no—
631C2×C4×C47—44no—
632C2×C4×C47—44no—
633C2×C4×C47—44no—
634C2×C4×C47C2×#4112yes—
635C2×C4×C47C2×#4112yes—
636C2×C4×C47C2×#4112yes—
637C2×C4×C47C2×#4112yes—
638C2×C4×C47C2×#4112yes—
639C2×C4×C47H(5,𝔽2)12yes—
640C2×C4×C47H(5,𝔽2)12yes—
641C22⋊D47—28no—
642C22⋊D47—28no—
643C22⋊D47—44no—
644C22⋊D47—44no—
645C22⋊D47—44no—
646C22⋊D47—44no—
647C2×Dic47—21no—
648C2×Dic47—21no—
649C2×Dic47—21no—
650C2×Dic47—21no—
651C2×Dic47—21no—
652C2×Dic47—21no—
653C2×Dic47—21no—
654C2×Dic47—21no—
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—44no—
681C2×Dic47—44no—
682C2×Dic47C2×#4112yes—
683C2×Dic47C2×#4112yes—
684C2×Dic47C2×#4112yes—
685C2×Dic47C2×#4112yes—
686C2×Dic47C2×#4112yes—
687C2×Dic47C2×#4112yes—
688D188—44no—
689D188—44no—
690D188—44no—
691C4×D47—44no—
692C4×D47—44no—
693C4×D47—44no—
694C4×D47—44no—
695C4×D47—44no—
696C4×D47—44no—
697C4×D47—44no—
698#34967—471nomaximal, Sylow
699C22×C47—22no—
700C22×C47—22no—
701C22×C47—22no—
702C22×C47—22no—
703C22×C47—22no—
704C22×C47—22no—
705C22×C47—41no—
706C22×C47—41no—
707C22×C47—41no—
708C22×C47—41no—
709C22×C47—41no—
710C22×C47—41no—
711C22×C47—41no—
712C22×C47—41no—
713C22×C47C22×#4111yescharacteristic
714C22×C47C22×#4111yescharacteristic
715C22×C47C22×#4111yescharacteristic
716C22×C47C22×#4111yescharacteristic
717C22×C47C22×#4111yescharacteristic
718C22×C47C2×H(5,𝔽2)11yescharacteristic
719C22×C47C2×H(5,𝔽2)11yescharacteristic
720C2×D47—22no—
721C2×D47—22no—
722C2×D47—22no—
723C2×D47—22no—
724C2×D47—22no—
725C2×D47—22no—
726C2×D47—41no—
727C2×D47—41no—
728C2×D47—41no—
729C2×D47—41no—
730C2×D47—41no—
731C2×D47—41no—
732C2×D47—41no—
733C2×D47—41no—
734C2×D47—41no—
735C2×D47—41no—
736C2×D47—41no—
737C2×D47—41no—
738C2×D47—41no—
739C2×D47—41no—
740C2×D47—41no—
741C4×C47—22no—
742C4×C47—22no—
743C4×C47—22no—
744C4×C47—22no—
745C4×C47—41no—
746C4×C47—41no—
747C4×C47—41no—
748C4×C47—41no—
749C4×C47—41no—
750C4×C47—41no—
751C4×C47—41no—
752C4×C47—41no—
753C4×C47#54014yes—
754Dic47—22no—
755Dic47—22no—
756Dic47—22no—
757Dic47—22no—
758Dic47—22no—
759Dic47—22no—
760Dic47—41no—
761Dic47—41no—
762Dic47—41no—
763Dic47—41no—
764Dic47—41no—
765Dic47—41no—
766Dic47—41no—
767#2522—471no—
768#2522—471no—
769#2522—471no—
770#2522—471no—
771#2516—471no—
772#2516—471no—
773#2516—471no—
774#2516—471no—
775#2464—471no—
776#2464—471no—
777#2464—471no—
778#2464—471no—
779#2457—471no—
780#2457—471no—
781#2457—471no—
782#2457—471no—
783#2402—471no—
784#2397—471no—
785#2392—471no—
786#2392—471no—
787C4×#123—471no—
788C4×#123—471no—
789C4×#123—471no—
790C4×#123D4711yescharacteristic, complemented
791C4×#121—471no—
792C4×#121—471no—
793C4×#121—471no—
794C4×#121—471no—
795#2298—471no—
796C42×D4—471no—
797C42×D4—471no—
798C2×C47—42no—
799C2×C47—42no—
800C2×C47#344411yescharacteristic
801C2×C47#344411yescharacteristic
802C2×C47C2×#54011yescharacteristic
803C2×C47#348111yescharacteristic
804C2×C47#348111yescharacteristic
805C2×C47#348111yescharacteristic
806C2×C47#348111yescharacteristic
807D47—42no—
808D47—42no—
809D47—81no—
810C2×#123—471no—
811C2×#123—471no—
812C2×#123—471no—
813C2×#123C2×D4711yescharacteristic
814C2×#121—471no—
815C2×#121—471no—
816C2×#121—471no—
817C2×#121—471no—
818C2×C4×D4—471no—
819C2×C4×D4—471no—
820C2×C4×D4—471no—
821C2×C4×D4—471no—
822C2×C4×D4—471no—
823C2×C4×D4—471no—
824C2×C4×D4—471no—
825C2×C4×D4—471no—
826C2×C4×D4—471no—
827C2×C4×D4—471no—
828C2×C4×D4—471no—
829C2×C4×D4—471no—
830C2×C4×D4—471no—
831C2×C4×D4C2×D4711yescharacteristic
832C2×#117—471no—
833C22×C42—471no—
834C22×C42—471no—
835C22×C42—471no—
836C22×C42C2×D4711yescharacteristic
837#400—471no—
838#400—471no—
839#400—471no—
840#400—471no—
841#399—471no—
842#399—471no—
843#399—471no—
844#399—471no—
845#398—471no—
846#398—471no—
847#398—471no—
848#398—471no—
849#398—471no—
850#398—471no—
851#397—471no—
852#397—471no—
853#396—471no—
854#396—471no—
855#396—471no—
856#396—471no—
857#394—471no—
858#394—471no—
859#394—471no—
860#394—471no—
861#394—471no—
862#394—471no—
863#392—471no—
864#392—471no—
865#392—471no—
866#392—471no—
867#392—471no—
868#392—471no—
869#390—471no—
870#390—471no—
871#390—471no—
872#390—471no—
873#389—471no—
874#389—471no—
875#389—471no—
876#389—471no—
877#388—471no—
878#388—471no—
879#388—471no—
880#388—471no—
881#388—471no—
882#388—471no—
883#388—471no—
884#388—471no—
885#388—471no—
886#388—471no—
887#388—471no—
888#388—471no—
889#388—471no—
890#388—471no—
891#388—471no—
892#388—471no—
893#388—471no—
894#388—471no—
895#388C2×D4711yescharacteristic
896#388C2×D4711yescharacteristic
897#387—471no—
898#387—471no—
899#387—471no—
900#387—471no—
901#387—471no—
902#387—471no—
903#387—471no—
904#387—471no—
905#387—471no—
906#387—471no—
907#387C2×D4711yescharacteristic
908#387C2×D4711yescharacteristic
909#386—471no—
910#386—471no—
911#386—471no—
912#386—471no—
913#386—471no—
914#386—471no—
915#386—471no—
916#386—471no—
917#386—471no—
918#386—471no—
919#386—471no—
920#386C2×D4711yescharacteristic
921#385—471no—
922#385—471no—
923#385—471no—
924#385C2×D4711yescharacteristic
925#381—471no—
926#381—471no—
927#381—471no—
928#381C2×D4711yescharacteristic
929#380—471no—
930#380—471no—
931#380—471no—
932#380—471no—
933C4×C4⋊C4—471no—
934C4×C4⋊C4—471no—
935C4×C4⋊C4—471no—
936C4×C4⋊C4—471no—
937C4×C4⋊C4—471no—
938C4×C4⋊C4—471no—
939C4×C4⋊C4—471no—
940C4×C4⋊C4—471no—
941C4×C4⋊C4—471no—
942C4×C4⋊C4—471no—
943C4×C4⋊C4C2×D4711yescharacteristic
944C4×C4⋊C4C2×D4711yescharacteristic
945C4×C22⋊C4—471no—
946C4×C22⋊C4—471no—
947C4×C22⋊C4—471no—
948C4×C22⋊C4—471no—
949C4×C22⋊C4—471no—
950C4×C22⋊C4—471no—
951C4×C22⋊C4—471no—
952C4×C22⋊C4—471no—
953C4×C22⋊C4—471no—
954C4×C22⋊C4—471no—
955C4×C22⋊C4—471no—
956C4×C22⋊C4—471no—
957C4×C22⋊C4—471no—
958C4×C22⋊C4—471no—
959C4×C22⋊C4—471no—
960C4×C22⋊C4C2×D4711yescharacteristic
961C4×C22⋊C4C2×D4711yescharacteristic
962C4×C22⋊C4C2×D4711yescharacteristic
963#376—471no—
964C43—471no—
965C47#3496711yescharacteristic, complemented, Sylow
966C22×D4—471no—
967C22×D4—471no—
968C22×D4—471no—
969C22×D4—471no—
970C22×D4—471no—
971C22×D4—471no—
972C22×D4—471no—
973C22×D4—471no—
974C22×D4—471no—
975C22×D4C22×D4711yescharacteristic
976C23×C4—471no—
977C23×C4—471no—
978C23×C4—471no—
979C23×C4—471no—
980C23×C4—471no—
981C23×C4—471no—
982C23×C4—471no—
983C23×C4—471no—
984C23×C4—471no—
985C23×C4C22×D4711yescharacteristic
986C23×C4C22×D4711yescharacteristic
987C23×C4C22×D4711yescharacteristic
988C23×C4C22×D4711yescharacteristic
989#123—24no—
990#123—944no—
991#123—944no—
992#123—944no—
993#121—944no—
994#121—944no—
995#121—944no—
996#121—944no—
997C4×D4—42no—
998C4×D4—944no—
999C4×D4—944no—
1000C4×D4—944no—
1001C4×D4—944no—
1002C4×D4—944no—
1003C4×D4—944no—
1004C4×D4—1882no—
1005C4×D4—1882no—
1006C4×D4—1882no—
1007C4×D4—1882no—
1008C4×D4—1882no—
1009C4×D4—1882no—
1010C4×D4—1882no—
1011#117—944no—
1012C2×C4⋊C4—471no—
1013C2×C4⋊C4—471no—
1014C2×C4⋊C4—471no—
1015C2×C4⋊C4—471no—
1016C2×C4⋊C4—471no—
1017C2×C4⋊C4—471no—
1018C2×C4⋊C4—471no—
1019C2×C4⋊C4—471no—
1020C2×C4⋊C4—471no—
1021C2×C4⋊C4—471no—
1022C2×C4⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
1036C2×C4⋊C4C22×D4711yescharacteristic
1037C2×C4⋊C4C22×D4711yescharacteristic
1038C2×C4⋊C4C22×D4711yescharacteristic
1039C2×C4⋊C4C22×D4711yescharacteristic
1040C2×C22⋊C4—471no—
1041C2×C22⋊C4—471no—
1042C2×C22⋊C4—471no—
1043C2×C22⋊C4—471no—
1044C2×C22⋊C4—471no—
1045C2×C22⋊C4—471no—
1046C2×C22⋊C4—471no—
1047C2×C22⋊C4—471no—
1048C2×C22⋊C4—471no—
1049C2×C22⋊C4—471no—
1050C2×C22⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
1075C2×C22⋊C4C22×D4711yescharacteristic
1076C2×C22⋊C4C22×D4711yescharacteristic
1077C2×C22⋊C4C22×D4711yescharacteristic
1078C2×C22⋊C4C22×D4711yescharacteristic
1079C2×C22⋊C4C22×D4711yescharacteristic
1080C2×C22⋊C4C22×D4711yescharacteristic
1081C2×C22⋊C4C22×D4711yescharacteristic
1082C2×C42—42no—
1083C2×C42—471no—
1084C2×C42—471no—
1085C2×C42—471no—
1086C2×C42—471no—
1087C2×C42—471no—
1088C2×C42—471no—
1089C2×C42—471no—
1090C2×C42—471no—
1091C2×C42—471no—
1092C2×C42—471no—
1093C2×C42—471no—
1094C2×C42—471no—
1095C2×C42—471no—
1096C2×C42—471no—
1097C2×C42—471no—
1098C2×C42—1882no—
1099C2×C42—1882no—
1100C2×C42—1882no—
1101C2×C42C22×D4711yescharacteristic
1102C2×C42C22×D4711yescharacteristic
1103C2×C42C22×D4711yescharacteristic
1104C2×C42C22×D4711yescharacteristic
1105C2×C42C22×D4711yescharacteristic
1106C2×C42C22×D4711yescharacteristic
1107C2×C42C22×D4711yescharacteristic
1108#95—471no—
1109#95—471no—
1110#95—471no—
1111#95—471no—
1112#95—471no—
1113#95—471no—
1114#95—471no—
1115#95—471no—
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#95C22×D4711yescharacteristic
1139#95C22×D4711yescharacteristic
1140#95C22×D4711yescharacteristic
1141#95C22×D4711yescharacteristic
1142#95C22×D4711yescharacteristic
1143#95C22×D4711yescharacteristic
1144#95C22×D4711yescharacteristic
1145#95C22×D4711yescharacteristic
1146#95C22×D4711yescharacteristic
1147#95C22×D4711yescharacteristic
1148C24—471no—
1149C24—471no—
1150C24—471no—
1151C24C23×D4711yescharacteristic
1152C24C23×D4711yescharacteristic
1153C2×D4—22no—
1154C2×D4—22no—
1155C2×D4—41no—
1156C2×D4—942no—
1157C2×D4—942no—
1158C2×D4—942no—
1159C2×D4—942no—
1160C2×D4—942no—
1161C2×D4—942no—
1162C2×D4—942no—
1163C2×D4—942no—
1164C2×D4—942no—
1165C2×D4—942no—
1166C2×D4—942no—
1167C2×D4—942no—
1168C2×D4—942no—
1169C2×D4—942no—
1170C2×D4—942no—
1171C2×D4—942no—
1172C2×D4—942no—
1173C2×D4—942no—
1174C2×D4—942no—
1175C2×D4—942no—
1176C2×D4—1881no—
1177C2×D4—1881no—
1178C2×D4—1881no—
1179C2×D4—1881no—
1180C2×D4—1881no—
1181C2×D4—1881no—
1182C2×D4—1881no—
1183C22×C4—22no—
1184C22×C4—22no—
1185C22×C4—22no—
1186C22×C4—22no—
1187C22×C4—22no—
1188C22×C4—22no—
1189C22×C4—22no—
1190C22×C4—22no—
1191C22×C4—22no—
1192C22×C4—22no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—471no—
1196C22×C4—471no—
1197C22×C4—471no—
1198C22×C4—471no—
1199C22×C4—471no—
1200C22×C4—471no—
1201C22×C4—471no—
1202C22×C4—471no—
1203C22×C4—471no—
1204C22×C4—471no—
1205C22×C4—471no—
1206C22×C4—471no—
1207C22×C4—471no—
1208C22×C4—942no—
1209C22×C4—942no—
1210C22×C4—942no—
1211C22×C4—942no—
1212C22×C4—942no—
1213C22×C4—942no—
1214C22×C4—942no—
1215C22×C4—942no—
1216C22×C4—942no—
1217C22×C4—942no—
1218C22×C4—942no—
1219C22×C4—942no—
1220C22×C4—942no—
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—1881no—
1230C22×C4—1881no—
1231C22×C4—1881no—
1232C22×C4—1881no—
1233C22×C4—1881no—
1234C22×C4—1881no—
1235C22×C4C23×D4711yescharacteristic
1236C22×C4C23×D4711yescharacteristic
1237C22×C4C23×D4711yescharacteristic
1238C22×C4C23×D4711yescharacteristic
1239C22×C4C23×D4711yescharacteristic
1240C22×C4C23×D4711yescharacteristic
1241C22×C4C23×D4711yescharacteristic
1242C22×C4C23×D4711yescharacteristic
1243C22×C4C23×D4711yescharacteristic
1244C22×C4C23×D4711yescharacteristic
1245C22×C4C23×D4711yescharacteristic
1246C22×C4C23×D4711yescharacteristic
1247C22×C4C23×D4711yescharacteristic
1248C4⋊C4—22no—
1249C4⋊C4—22no—
1250C4⋊C4—22no—
1251C4⋊C4—22no—
1252C4⋊C4—41no—
1253C4⋊C4—942no—
1254C4⋊C4—942no—
1255C4⋊C4—942no—
1256C4⋊C4—942no—
1257C4⋊C4—942no—
1258C4⋊C4—942no—
1259C4⋊C4—942no—
1260C4⋊C4—942no—
1261C4⋊C4—942no—
1262C4⋊C4—942no—
1263C4⋊C4—942no—
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—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
1279C22⋊C4—22no—
1280C22⋊C4—22no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—474no—
1284C22⋊C4—474no—
1285C22⋊C4—474no—
1286C22⋊C4—942no—
1287C22⋊C4—942no—
1288C22⋊C4—942no—
1289C22⋊C4—942no—
1290C22⋊C4—942no—
1291C22⋊C4—942no—
1292C22⋊C4—942no—
1293C22⋊C4—942no—
1294C22⋊C4—942no—
1295C22⋊C4—942no—
1296C22⋊C4—942no—
1297C22⋊C4—942no—
1298C22⋊C4—942no—
1299C22⋊C4—942no—
1300C22⋊C4—942no—
1301C22⋊C4—942no—
1302C22⋊C4—942no—
1303C22⋊C4—1881no—
1304C22⋊C4—1881no—
1305C22⋊C4—1881no—
1306C22⋊C4—1881no—
1307C22⋊C4—1881no—
1308C22⋊C4—1881no—
1309C22⋊C4—1881no—
1310C22⋊C4—1881no—
1311C22⋊C4—1881no—
1312C22⋊C4—1881no—
1313C22⋊C4—1881no—
1314C22⋊C4—1881no—
1315C22⋊C4—1881no—
1316C22⋊C4—1881no—
1317C22⋊C4#1062535014yes—
1318C42—22no—
1319C42—22no—
1320C42—22no—
1321C42—22no—
1322C42—22no—
1323C42—41no—
1324C42—41no—
1325C42—474no—
1326C42—942no—
1327C42—942no—
1328C42—942no—
1329C42—942no—
1330C42—942no—
1331C42—942no—
1332C42—942no—
1333C42—942no—
1334C42—1881no—
1335C42—1881no—
1336C42—1881no—
1337C42—1881no—
1338C42—1881no—
1339C42—1881no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—21no—
1345C23—21no—
1346C23—21no—
1347C23—21no—
1348C23—21no—
1349C23—21no—
1350C23—21no—
1351C23—21no—
1352C23—472no—
1353C23—472no—
1354C23—941no—
1355C23—941no—
1356C23—941no—
1357C23—941no—
1358C23—941no—
1359C23—941no—
1360C23—941no—
1361C23—941no—
1362C23—941no—
1363C23—941no—
1364C23—941no—
1365C23—941no—
1366C23—941no—
1367C23—941no—
1368C23—941no—
1369C23—941no—
1370C23—941no—
1371C23—941no—
1372C23—941no—
1373C23#41×D4712yes—
1374C23C2×#1062535012yes—
1375C23C24×D4711yescharacteristic
1376D4—44no—
1377D4—948no—
1378D4—948no—
1379D4—1884no—
1380D4—1884no—
1381D4—1884no—
1382D4—1884no—
1383D4—1884no—
1384D4—1884no—
1385D4—1884no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—21no—
1405C2×C4—21no—
1406C2×C4—21no—
1407C2×C4—21no—
1408C2×C4—21no—
1409C2×C4—21no—
1410C2×C4—21no—
1411C2×C4—21no—
1412C2×C4—21no—
1413C2×C4—21no—
1414C2×C4—21no—
1415C2×C4—21no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—44no—
1419C2×C4—44no—
1420C2×C4—44no—
1421C2×C4—44no—
1422C2×C4—472no—
1423C2×C4—472no—
1424C2×C4—472no—
1425C2×C4—472no—
1426C2×C4—472no—
1427C2×C4—472no—
1428C2×C4—941no—
1429C2×C4—941no—
1430C2×C4—941no—
1431C2×C4—941no—
1432C2×C4—941no—
1433C2×C4—941no—
1434C2×C4—941no—
1435C2×C4—941no—
1436C2×C4—941no—
1437C2×C4—941no—
1438C2×C4—941no—
1439C2×C4—941no—
1440C2×C4—941no—
1441C2×C4—941no—
1442C2×C4—941no—
1443C2×C4—941no—
1444C2×C4—941no—
1445C2×C4—941no—
1446C2×C4—941no—
1447C2×C4—941no—
1448C2×C4—941no—
1449C2×C4—941no—
1450C2×C4—941no—
1451C2×C4—941no—
1452C2×C4—941no—
1453C2×C4—941no—
1454C2×C4—941no—
1455C2×C4—941no—
1456C2×C4—941no—
1457C2×C4—941no—
1458C2×C4—941no—
1459C2×C4—941no—
1460C2×C4—941no—
1461C2×C4—1884no—
1462C2×C4—1884no—
1463C2×C4—1884no—
1464C2×C4—1884no—
1465C2×C4—1884no—
1466C2×C4—1884no—
1467C2×C4—1884no—
1468C2×C4—1884no—
1469C2×C4—1884no—
1470C2×C4#41×D4712yes—
1471C2×C4#41×D4712yes—
1472C2×C4#41×D4712yes—
1473C2×C4C2×#1062535012yes—
1474C2×C4C2×#1062535012yes—
1475C2×C4#1309406912yes—
1476C2×C4#1309407012yes—
1477C22—22no—
1478C22—22no—
1479C22—22no—
1480C22—22no—
1481C22—22no—
1482C22—22no—
1483C22—41no—
1484C22—41no—
1485C22—41no—
1486C22—41no—
1487C22—41no—
1488C22—41no—
1489C22—41no—
1490C22—41no—
1491C22—942no—
1492C22—942no—
1493C22—942no—
1494C22—942no—
1495C22—942no—
1496C22—942no—
1497C22—1881no—
1498C22—1881no—
1499C22—1881no—
1500C22—1881no—
1501C22—1881no—
1502C22—1881no—
1503C22—1881no—
1504C22—1881no—
1505C22—1881no—
1506C22—1881no—
1507C22—1881no—
1508C22—1881no—
1509C22—1881no—
1510C22—1881no—
1511C22—1881no—
1512C22C2×#41×D4711yescharacteristic
1513C22C2×#41×D4711yescharacteristic
1514C22C2×#41×D4711yescharacteristic
1515C22C2×#41×D4711yescharacteristic
1516C22C22×#1062535011yescharacteristic
1517C22C2×#1309406911yescharacteristic
1518C22C2×#1309407011yescharacteristic
1519C4—22no—
1520C4—22no—
1521C4—22no—
1522C4—22no—
1523C4—41no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—41no—
1529C4—41no—
1530C4—41no—
1531C4—942no—
1532C4—942no—
1533C4—942no—
1534C4—942no—
1535C4—942no—
1536C4—942no—
1537C4—1881no—
1538C4—1881no—
1539C4—1881no—
1540C4—1881no—
1541C4—1881no—
1542C4—1881no—
1543C4—1881no—
1544C4#1568972514yes—
1545C2—42no—
1546C2—42no—
1547C2—3761no—
1548C2—1882no—
1549C2—1882no—
1550C2#2025668111yescharacteristic
1551C2#2025668211yescharacteristic
1552C2C2×#1568972511yescharacteristic
1553C2#2025699011yescharacteristic
1554C2#2025699211yescharacteristic
1555C2#2025699411yescharacteristic
1556C2#2025699811yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC4×#123×C47C2
hypercenterC4×#123D47
hypocenterC47#34967
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
1. #20248113C2semidirect
2. #20248110C2semidirect
3. #20248104C2semidirect
4. #20248103C2semidirect
5. #20248028C2semidirect
6. #20248027C2semidirect
7. #20248021C2semidirect
8. #20248018C2semidirect
9. #20247401C2semidirect
10. #20247398C2semidirect
11. #20247392C2semidirect
12. #20247391C2semidirect
13. #20247301C2semidirect
14. #20247300C2semidirect
15. #20247294C2semidirect
16. #20247291C2semidirect
17. #20246695C2semidirect
18. #20246667C2semidirect
19. #20246632C2semidirect
20. #20246632C2semidirect
21. C4×#13094009C2semidirect
22. C4×#13094008C2semidirect
23. C4×#13094006C2semidirect
24. C4×#13093999C2semidirect
25. C4×#13093998C2semidirect
26. C4×#13093997C2semidirect
27. C4×#13093996C2semidirect
28. #20245881C2semidirect
29. C42×C22⋊D47C2semidirect
30. C4×(C22⋊D47)⋊C4C2semidirect
31. C4×#123×C47C2semidirect
790. C4×#123D47semidirect
965. C47#34967semidirect

Maximal subgroups

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

subgroupindex
#202481132
#202481102
#202481042
#202481032
#202480282
#202480272
#202480212
#202480182
#202474012
#202473982
#202473922
#202473912
#202473012
#202473002
#202472942
#202472912
#202466952
#202466672
#202466322
C4×#130940092
C4×#130940082
C4×#130940062
C4×#130939992
C4×#130939982
C4×#130939972
C4×#130939962
#202458812
C42×C22⋊D472
C4×(C22⋊D47)⋊C42
C4×#123×C472
#3496747