Finite Group Databasebeta

← #26388549

Subgroups — #26388549

Order 12032.

2698 conjugacy classes of subgroups.

The subgroup lattice has 1644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689653C211yesmaximal, characteristic, complemented
2C2×C4×#10625352C211yesmaximal, characteristic, complemented
3#20248992C211yesmaximal, characteristic, complemented
4#20248990C211yesmaximal, characteristic, complemented
5#20248984C211yesmaximal, characteristic, complemented
6#20248982C211yesmaximal, characteristic, complemented
7#20248874C211yesmaximal, characteristic, complemented
8#20248774C211yesmaximal, characteristic, complemented
9#20248552C211yesmaximal, characteristic, complemented
10#20248325C211yesmaximal, characteristic, complemented
11#20247830C211yesmaximal, characteristic, complemented
12#20247828C211yesmaximal, characteristic, complemented
13#20246996C211yesmaximal, characteristic, complemented
14#20246994C211yesmaximal, characteristic, complemented
15#20246838C211yesmaximal, characteristic, complemented
16#20246836C211yesmaximal, characteristic, complemented
17#20246827C211yesmaximal, characteristic, complemented
18#20246825C211yesmaximal, characteristic, complemented
19#20246664C211yesmaximal, characteristic, complemented
20#20246662C211yesmaximal, characteristic, complemented
21#20246632C211yesmaximal, characteristic, complemented
22#20246630C211yesmaximal, characteristic, complemented
23C4×#13094002C211yesmaximal, characteristic, complemented
24C4×#13094001C211yesmaximal, characteristic, complemented
25C4×#13093998C211yesmaximal, characteristic, complemented
26C4×#13093997C211yesmaximal, characteristic, complemented
27C4×#13093996C211yesmaximal, characteristic, complemented
28C4×#13093996C211yesmaximal, characteristic, complemented
29C4×#13093996C211yesmaximal, characteristic, complemented
30C2×C4×Dic47⋊C4C211yesmaximal, characteristic, complemented
31C4×#121×C47C211yesmaximal, characteristic, complemented
32C22×#10625352C2211yescharacteristic
33#15689653—28no—
34C2×#13094019C2211yescharacteristic
35C2×#13094017C2211yescharacteristic
36C2×#13094014C2211yescharacteristic
37C2×#13094010C2211yescharacteristic
38C2×#13094008C2211yescharacteristic
39C2×#13094005C2211yescharacteristic
40C2×#13094002C2211yescharacteristic
41C2×#13094001C2211yescharacteristic
42C2×#13094001C2211yescharacteristic
43C2×#13093998C2211yescharacteristic
44C2×#13093997C2211yescharacteristic
45C2×#13093996C2211yescharacteristic
46C2×#13093996C2211yescharacteristic
47C2×#13093996C2211yescharacteristic
48C2×#13093996C2211yescharacteristic
49C4×#10625352—28no—
50C2×C4×Dic94C2211yescharacteristic
51C2×C4×Dic94C2211yescharacteristic
52C2×#13093989C2211yescharacteristic
53C2×C4×D188C2211yescharacteristic
54C2×D4×Dic47C2211yescharacteristic
55C2×C4×C22⋊D47C2211yescharacteristic
56C2×C4×C22⋊D47C2211yescharacteristic
57C2×C4×C22⋊D47C2211yescharacteristic
58C2×C4×C22⋊D47C2211yescharacteristic
59C2×C4×C22⋊D47C2211yescharacteristic
60C2×C4×C22⋊D47C2211yescharacteristic
61C2×(C22⋊D47)⋊C4C2211yescharacteristic
62C2×(C22⋊D47)⋊C4C2211yescharacteristic
63C2×#13093983C2211yescharacteristic
64C2×#13093982C2211yescharacteristic
65C2×#13093981C2211yescharacteristic
66C2×#13093980C2211yescharacteristic
67C2×#13093980C2211yescharacteristic
68C22×Dic47⋊C4C2211yescharacteristic
69C22×Dic47⋊C4C2211yescharacteristic
70C22×C4×Dic47C2211yescharacteristic
71C22×C4×Dic47C2211yescharacteristic
72C22×C4×Dic47C2211yescharacteristic
73C2×C42×D47C2211yescharacteristic
74#15689065C2211yescharacteristic
75#15689064C2211yescharacteristic
76#15689059C2211yescharacteristic
77#15689058C2211yescharacteristic
78#15689057C2211yescharacteristic
79#15689057C2211yescharacteristic
80#15689057C2211yescharacteristic
81#15689056C2211yescharacteristic
82#15689055C2211yescharacteristic
83#15689054C2211yescharacteristic
84#15689052C2211yescharacteristic
85#15689051C2211yescharacteristic
86#15689047C2211yescharacteristic
87#15689047C2211yescharacteristic
88#15689046C2211yescharacteristic
89#15689046C2211yescharacteristic
90#15689046C2211yescharacteristic
91#15689046C2211yescharacteristic
92#15689045C2211yescharacteristic
93#15689045C2211yescharacteristic
94#15689044C2211yescharacteristic
95#15689043C2211yescharacteristic
96#15689041C2211yescharacteristic
97#15689039C2211yescharacteristic
98#15689038C2211yescharacteristic
99#15689038C2211yescharacteristic
100#15689038C2211yescharacteristic
101#15689037C2211yescharacteristic
102#15689036C2211yescharacteristic
103#15689035C2211yescharacteristic
104#15689032C2211yescharacteristic
105#15689031C2211yescharacteristic
106#15689027C2211yescharacteristic
107#15689027C2211yescharacteristic
108#15689025C2211yescharacteristic
109#15689023C2211yescharacteristic
110#15689023C2211yescharacteristic
111#15689023C2211yescharacteristic
112#15689023C2211yescharacteristic
113#15689021C2211yescharacteristic
114#15689020C2211yescharacteristic
115#15689020C2211yescharacteristic
116#15689018C2211yescharacteristic
117#15689018C2211yescharacteristic
118#15689018C2211yescharacteristic
119#15689018C2211yescharacteristic
120#15689017C2211yescharacteristic
121#15689017C2211yescharacteristic
122#15689017C2211yescharacteristic
123#15689016C2211yescharacteristic
124#15689014C2211yescharacteristic
125#15689014C2211yescharacteristic
126#15689013C2211yescharacteristic
127#15689013C2211yescharacteristic
128#15689013C2211yescharacteristic
129#15689012C2211yescharacteristic
130#15689010C2211yescharacteristic
131#15689009C2211yescharacteristic
132#15689006C2211yescharacteristic
133#15689005C2211yescharacteristic
134#15689003C2211yescharacteristic
135#15689003C2211yescharacteristic
136#15689003C2211yescharacteristic
137#15689002C2211yescharacteristic
138#15689002C2211yescharacteristic
139#15689001C2211yescharacteristic
140#15689000C2211yescharacteristic
141#15689000C2211yescharacteristic
142#15689000C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688998C2211yescharacteristic
145#15688997C2211yescharacteristic
146#15688995C2211yescharacteristic
147#15688994C2211yescharacteristic
148#15688983C2211yescharacteristic
149#15688982C2211yescharacteristic
150#15688982C2211yescharacteristic
151#15688981C2211yescharacteristic
152#15688981C2211yescharacteristic
153#15688981C2211yescharacteristic
154#15688981C2211yescharacteristic
155C4×Dic47⋊C4C2211yescharacteristic
156C4×Dic47⋊C4C2211yescharacteristic
157C4×Dic47⋊C4C2211yescharacteristic
158C4×Dic47⋊C4C2211yescharacteristic
159C4×Dic47⋊C4C2211yescharacteristic
160C4×Dic47⋊C4C2211yescharacteristic
161C4×Dic47⋊C4C2211yescharacteristic
162C4×Dic47⋊C4C2211yescharacteristic
163C4×Dic47⋊C4C2211yescharacteristic
164C4×Dic47⋊C4C2211yescharacteristic
165C4×C4⋊Dic47C2211yescharacteristic
166C4×(C2×D47)⋊C4C2211yescharacteristic
167C4×(C2×D47)⋊C4C2211yescharacteristic
168C4×(C2×D47)⋊C4C2211yescharacteristic
169C4×(C2×D47)⋊C4C2211yescharacteristic
170C4×C22⋊Dic47C2211yescharacteristic
171C4×C22⋊Dic47C2211yescharacteristic
172C2×C47⋊#95C2211yescharacteristic
173C2×C47⋊#95C2211yescharacteristic
174C2×#121×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic
176C2×C4×D4×C47C2211yescharacteristic
177C2×C4×D4×C47C2211yescharacteristic
178C22×C42×C47C2211yescharacteristic
179C47×#390C2211yescharacteristic
180C47×#389C2211yescharacteristic
181C47×#388C2211yescharacteristic
182C47×#388C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#380C2211yescharacteristic
186C4×C4⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic
188C4×C22⋊C4×C47C2211yescharacteristic
189C2×#10625352—24no—
190C2×#10625352—24no—
191C2×#10625352—24no—
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211#13094019—24no—
212#13094017—24no—
213#13094014—24no—
214#13094010—24no—
215#13094008—24no—
216#13094005—24no—
217#13094002—24no—
218#13094001—24no—
219#13094001—24no—
220#13093998—24no—
221#13093997—24no—
222#13093996—24no—
223#13093996—24no—
224#13093996—24no—
225#13093996—24no—
226C4×Dic94—24no—
227C4×Dic94—24no—
228#13093989—24no—
229C4×D188—42no—
230D4×Dic47—24no—
231C4×C22⋊D47—24no—
232C4×C22⋊D47—24no—
233C4×C22⋊D47—24no—
234C4×C22⋊D47—24no—
235C4×C22⋊D47—42no—
236C4×C22⋊D47—42no—
237(C22⋊D47)⋊C4—24no—
238(C22⋊D47)⋊C4—24no—
239#13093983—24no—
240#13093982—24no—
241#13093981—24no—
242#13093980—24no—
243#13093980—24no—
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×Dic47⋊C4—24no—
252C2×Dic47⋊C4—24no—
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×C4×Dic47—24no—
308C2×C4×Dic47—42no—
309C2×C4×Dic47D418yescomplemented
310C2×C4×Dic47C2311yescharacteristic
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C42×D47—24no—
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C22×D4×C47C2311yescharacteristic
352C22×D4×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C23×C4×C47C2311yescharacteristic
355C23×C4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359#121×C47—24no—
360C4×D4×C47—24no—
361C4×D4×C47—24no—
362C4×D4×C47—42no—
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C42×C47—42no—
379C2×C42×C47C2311yescharacteristic
380C2×C42×C47C2311yescharacteristic
381C2×C42×C47C2311yescharacteristic
382C2×C42×C47C2311yescharacteristic
383C2×C42×C47C2311yescharacteristic
384C2×C42×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C23×D47C2411yescharacteristic
395C23×D47C2411yescharacteristic
396C2×D4×C47—22no—
397C2×D4×C47—22no—
398C2×D4×C47—22no—
399C2×D4×C47—22no—
400C2×D4×C47—22no—
401C2×D4×C47—22no—
402C2×D4×C47—22no—
403C2×D4×C47—41no—
404C2×D4×C47#4114yes—
405C22×C4×C47—22no—
406C22×C4×C47—22no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
409C22×C4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—22no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—22no—
417C22×C4×C47—41no—
418C22×C4×C47—41no—
419C22×C4×C47C2×D414yes—
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47—22no—
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—41no—
448C2×C22⋊D47—41no—
449C2×C22⋊D47#4114yes—
450C22×Dic47—22no—
451C22×Dic47—22no—
452C22×Dic47—22no—
453C22×Dic47—22no—
454C22×Dic47—22no—
455C22×Dic47—22no—
456C22×Dic47—22no—
457C22×Dic47—22no—
458C22×Dic47—22no—
459C22×Dic47—22no—
460C22×Dic47—22no—
461C22×Dic47—22no—
462C22×Dic47—22no—
463C22×Dic47—22no—
464C22×Dic47—41no—
465C22×Dic47—41no—
466C22×Dic47C2×D414yes—
467C22×Dic47C2×D414yes—
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481C22×Dic47C2411yescharacteristic
482#10625352—232no—
483C2×D188—22no—
484C2×D188—22no—
485C2×D188—41no—
486C2×C4×D47—22no—
487C2×C4×D47—22no—
488C2×C4×D47—22no—
489C2×C4×D47—22no—
490C2×C4×D47—22no—
491C2×C4×D47—22no—
492C2×C4×D47—22no—
493C2×C4×D47—22no—
494C2×C4×D47—22no—
495C2×C4×D47—22no—
496C2×C4×D47—22no—
497C2×C4×D47—22no—
498C2×Dic94—22no—
499C2×Dic94—22no—
500C2×Dic94—22no—
501C2×Dic94—22no—
502C2×Dic94—22no—
503C2×Dic94—22no—
504C4⋊C4×C47—22no—
505C4⋊C4×C47—22no—
506C4⋊C4×C47—22no—
507C4⋊C4×C47—22no—
508C4⋊C4×C47—41no—
509C22⋊C4×C47—22no—
510C22⋊C4×C47—22no—
511C22⋊C4×C47—22no—
512C22⋊C4×C47—22no—
513C22⋊C4×C47—22no—
514C22⋊C4×C47—22no—
515C22⋊C4×C47—22no—
516C22⋊C4×C47—22no—
517C22⋊C4×C47—41no—
518C22⋊C4×C47—41no—
519C42×C47—22no—
520C42×C47—22no—
521C42×C47—22no—
522C42×C47—22no—
523C42×C47—41no—
524C42×C47—41no—
525C22⋊Dic47—22no—
526C22⋊Dic47—22no—
527C22⋊Dic47—22no—
528C22⋊Dic47—22no—
529C22⋊Dic47—22no—
530C22⋊Dic47—22no—
531C22⋊Dic47—22no—
532C22⋊Dic47—22no—
533C22⋊Dic47—22no—
534C22⋊Dic47—22no—
535C22⋊Dic47—41no—
536C22⋊Dic47—41no—
537(C2×D47)⋊C4—22no—
538(C2×D47)⋊C4—22no—
539(C2×D47)⋊C4—22no—
540(C2×D47)⋊C4—22no—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—22no—
543(C2×D47)⋊C4—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—22no—
548(C2×D47)⋊C4—22no—
549(C2×D47)⋊C4—22no—
550(C2×D47)⋊C4—22no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
554(C2×D47)⋊C4—41no—
555C4⋊Dic47—22no—
556C4⋊Dic47—22no—
557C4⋊Dic47—22no—
558C4⋊Dic47—22no—
559C4⋊Dic47—22no—
560C4⋊Dic47—22no—
561C4⋊Dic47—41no—
562Dic47⋊C4—22no—
563Dic47⋊C4—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—22no—
568Dic47⋊C4—22no—
569Dic47⋊C4—22no—
570Dic47⋊C4—22no—
571Dic47⋊C4—22no—
572Dic47⋊C4—22no—
573Dic47⋊C4—22no—
574Dic47⋊C4—22no—
575Dic47⋊C4—22no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—22no—
579Dic47⋊C4—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4—22no—
582Dic47⋊C4—41no—
583Dic47⋊C4—41no—
584Dic47⋊C4#4114yescomplemented
585Dic47⋊C4#4114yescomplemented
586C4×Dic47—22no—
587C4×Dic47—22no—
588C4×Dic47—22no—
589C4×Dic47—22no—
590C4×Dic47—22no—
591C4×Dic47—22no—
592C4×Dic47—22no—
593C4×Dic47—22no—
594C4×Dic47—41no—
595C4×Dic47—41no—
596C4×Dic47C2×D414yes—
597C4×Dic47C2×D414yes—
598C4×Dic47C2×D414yes—
599C4×Dic47C2×D414yes—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47C22×D412yes—
618C23×C47C2×#4112yes—
619C23×C47C2×#4112yes—
620C23×C47C2×#4112yes—
621C23×C47C2511yescharacteristic
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47C2×#4112yes—
636D4×C47—28no—
637D4×C47—44no—
638D4×C47—44no—
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—28no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—44no—
670C2×C4×C47—44no—
671C2×C4×C47—44no—
672C2×C4×C47—44no—
673C2×C4×C47C22×D412yes—
674C2×C4×C47C22×D412yes—
675C2×C4×C47C2×#4112yes—
676C2×C4×C47C2×#4112yes—
677C2×C4×C47C2×#4112yes—
678C2×C4×C47H(5,𝔽2)12yes—
679C2×C4×C472−1+412yes—
680C22⋊D47—28no—
681C22⋊D47—28no—
682C22⋊D47—44no—
683C22⋊D47—44no—
684C22⋊D47—44no—
685C22⋊D47—44no—
686C2×Dic47—28no—
687C2×Dic47—28no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—28no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—44no—
723C2×Dic47—44no—
724C2×Dic47—44no—
725C2×Dic47C22×D412yes—
726C2×Dic47C22×D412yes—
727C2×Dic47C22×D412yes—
728C2×Dic47C22×D412yes—
729C2×Dic47C2×#4112yes—
730C2×Dic47C2×#4112yes—
731C2×Dic47C2×#4112yes—
732C2×Dic47C2×#4112yes—
733C2×Dic47C2×#4112yes—
734D188—44no—
735C4×D47—28no—
736C4×D47—44no—
737C4×D47—44no—
738C4×D47—44no—
739Dic94—28no—
740Dic94—44no—
741#34964—471nomaximal, Sylow
742C22×C47—22no—
743C22×C47—22no—
744C22×C47—22no—
745C22×C47—22no—
746C22×C47—22no—
747C22×C47—22no—
748C22×C47—22no—
749C22×C47—22no—
750C22×C47—22no—
751C22×C47—41no—
752C22×C47—41no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47#52514yes—
763C22×C47C23×D411yescharacteristic
764C22×C47C22×#4111yescharacteristic
765C22×C47C22×#4111yescharacteristic
766C22×C47C22×#4111yescharacteristic
767C22×C47C22×#4111yescharacteristic
768C22×C47C2×H(5,𝔽2)11yescharacteristic
769C22×C47C2×2−1+411yescharacteristic
770C2×D47—22no—
771C2×D47—22no—
772C2×D47—22no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—41no—
780C2×D47—41no—
781C2×D47—41no—
782C2×D47—41no—
783C2×D47—41no—
784C4×C47—22no—
785C4×C47—22no—
786C4×C47—22no—
787C4×C47—22no—
788C4×C47—41no—
789C4×C47—41no—
790C4×C47—41no—
791C4×C47—41no—
792C4×C47—41no—
793C4×C47—41no—
794C4×C47—41no—
795C4×C47#53714yes—
796Dic47—22no—
797Dic47—22no—
798Dic47—22no—
799Dic47—22no—
800Dic47—22no—
801Dic47—22no—
802Dic47—41no—
803Dic47—41no—
804Dic47—41no—
805Dic47—41no—
806Dic47—41no—
807Dic47—41no—
808Dic47—41no—
809Dic47#53214yes—
810C2×#529—471no—
811C2×C4×#41—471no—
812#2601—471no—
813#2601—471no—
814#2601—471no—
815#2601—471no—
816#2592—471no—
817#2584—471no—
818#2562—471no—
819#2540—471no—
820#2498—471no—
821#2498—471no—
822#2430—471no—
823#2430—471no—
824#2417—471no—
825#2417—471no—
826#2416—471no—
827#2416—471no—
828#2396—471no—
829#2396—471no—
830#2392—471no—
831#2392—471no—
832C4×C22⋊Q8—471no—
833C4×C22⋊Q8—471no—
834C4×#121—471no—
835C4×#121—471no—
836C4×#121—471no—
837C4×#121—471no—
838C4×#121—471no—
839C4×#121D4711yescharacteristic, complemented
840C2×C4×C4⋊C4—471no—
841C2×C47—24no—
842C2×C47—42no—
843C2×C47—81no—
844C2×C47C2×#52511yescharacteristic
845C2×C47C2×#53211yescharacteristic
846C2×C47C2×#53711yescharacteristic
847C2×C47#348111yescharacteristic
848C2×C47#348111yescharacteristic
849C2×C47#348211yescharacteristic
850C2×C47#348211yescharacteristic
851D47—42no—
852D47—81no—
853C22×#41—471no—
854#529—948no—
855C2×#126—471no—
856C2×#126—471no—
857C2×#125—471no—
858C2×#124—471no—
859C2×#123—471no—
860C2×#123—471no—
861C2×C22⋊Q8—471no—
862C2×C22⋊Q8—471no—
863C2×C22⋊Q8—471no—
864C2×#121—471no—
865C2×#121—471no—
866C2×#121—471no—
867C2×#121—471no—
868C2×#121—471no—
869C2×#121—471no—
870C2×#121C2×D4711yescharacteristic
871C4×#41—948no—
872C2×C4×Q8—471no—
873C2×C4×Q8—471no—
874C2×C4×Q8—471no—
875C2×C4×D4—471no—
876C2×C4×D4—471no—
877C2×C4×D4—471no—
878C2×C4×D4—471no—
879C2×C4×D4—471no—
880C2×C4×D4—471no—
881C2×C4×D4—471no—
882C2×C4×D4—471no—
883C2×C4×D4—471no—
884C2×C4×D4—471no—
885C2×C4×D4C2×D4711yescharacteristic
886C2×C4×D4C2×D4711yescharacteristic
887C2×C4×D4C2×D4711yescharacteristic
888C2×#117—471no—
889C2×#117—471no—
890C2×#117—471no—
891C2×#117—471no—
892C2×#117—471no—
893C22×C4⋊C4—471no—
894C22×C4⋊C4—471no—
895C22×C42—471no—
896C22×C42—471no—
897C22×C42—471no—
898C22×C42—471no—
899C22×C42C2×D4711yescharacteristic
900#400—471no—
901#400—471no—
902#399—471no—
903#399—471no—
904#398—471no—
905#398—471no—
906#398—471no—
907#398—471no—
908#398—471no—
909#398—471no—
910#397—471no—
911#397—471no—
912#396—471no—
913#396—471no—
914#396—471no—
915#396—471no—
916#396—471no—
917#396—471no—
918#396—471no—
919#396—471no—
920#395—471no—
921#395—471no—
922#394—471no—
923#394—471no—
924#394—471no—
925#394—471no—
926#394—471no—
927#394—471no—
928#393—471no—
929#393—471no—
930#392—471no—
931#392—471no—
932#391—471no—
933#391—471no—
934#390—471no—
935#390—471no—
936#390—471no—
937#390—471no—
938#390—471no—
939#390C2×D4711yescharacteristic
940#389—471no—
941#389—471no—
942#389—471no—
943#389—471no—
944#389—471no—
945#389—471no—
946#389—471no—
947#389C2×D4711yescharacteristic
948#388—471no—
949#388—471no—
950#388—471no—
951#388—471no—
952#388—471no—
953#388—471no—
954#388—471no—
955#388—471no—
956#388—471no—
957#388—471no—
958#388C2×D4711yescharacteristic
959#388C2×D4711yescharacteristic
960#387—471no—
961#387—471no—
962#387—471no—
963#387—471no—
964#386—471no—
965#386—471no—
966#386—471no—
967#386—471no—
968#386—471no—
969#386—471no—
970#386—471no—
971#386—471no—
972#386—471no—
973#386—471no—
974#386C2×D4711yescharacteristic
975#386C2×D4711yescharacteristic
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#380—471no—
981#380—471no—
982#380—471no—
983#380—471no—
984#380—471no—
985#380—471no—
986#380—471no—
987#380C2×D4711yescharacteristic
988C4×C4⋊C4—471no—
989C4×C4⋊C4—471no—
990C4×C4⋊C4—471no—
991C4×C4⋊C4—471no—
992C4×C4⋊C4—471no—
993C4×C4⋊C4—471no—
994C4×C4⋊C4—471no—
995C4×C4⋊C4—471no—
996C4×C4⋊C4—471no—
997C4×C4⋊C4—471no—
998C4×C4⋊C4—471no—
999C4×C4⋊C4C2×D4711yescharacteristic
1000C4×C22⋊C4—471no—
1001C4×C22⋊C4—471no—
1002C4×C22⋊C4—471no—
1003C4×C22⋊C4—471no—
1004C4×C22⋊C4—471no—
1005C4×C22⋊C4—471no—
1006C4×C22⋊C4C2×D4711yescharacteristic
1007C4×C22⋊C4C2×D4711yescharacteristic
1008C2×#95—471no—
1009C2×#95—471no—
1010C47#3496411yescharacteristic, complemented, Sylow
1011C2×#41—944no—
1012C2×#41—944no—
1013C2×#41—944no—
1014C22×Q8—471no—
1015C22×Q8—471no—
1016C22×D4—471no—
1017C22×D4—471no—
1018C22×D4—471no—
1019C22×D4—471no—
1020C22×D4—471no—
1021C22×D4—471no—
1022C22×D4—471no—
1023C22×D4C22×D4711yescharacteristic
1024C22×D4C22×D4711yescharacteristic
1025C22×D4C22×D4711yescharacteristic
1026C23×C4—471no—
1027C23×C4—471no—
1028C23×C4—471no—
1029C23×C4—471no—
1030C23×C4—471no—
1031C23×C4—471no—
1032C23×C4—471no—
1033C23×C4—471no—
1034C23×C4—471no—
1035C23×C4—471no—
1036C23×C4C22×D4711yescharacteristic
1037C23×C4C22×D4711yescharacteristic
1038C23×C4C22×D4711yescharacteristic
1039C23×C4C22×D4711yescharacteristic
1040C23×C4C22×D4711yescharacteristic
1041#126—944no—
1042#126—944no—
1043#125—944no—
1044#124—944no—
1045#123—944no—
1046#123—944no—
1047C22⋊Q8—944no—
1048C22⋊Q8—944no—
1049C22⋊Q8—944no—
1050#121—24no—
1051#121—944no—
1052#121—944no—
1053#121—944no—
1054#121—944no—
1055#121—944no—
1056#121—944no—
1057C4×Q8—944no—
1058C4×Q8—944no—
1059C4×Q8—944no—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4—42no—
1063C4×D4—944no—
1064C4×D4—944no—
1065C4×D4—944no—
1066C4×D4—944no—
1067C4×D4—944no—
1068C4×D4—944no—
1069C4×D4—944no—
1070C4×D4—1882no—
1071C4×D4—1882no—
1072C4×D4—1882no—
1073#117—944no—
1074#117—944no—
1075#117—944no—
1076#117—944no—
1077#117—944no—
1078C2×C4⋊C4—471no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4—471no—
1081C2×C4⋊C4—471no—
1082C2×C4⋊C4—471no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—471no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—471no—
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4—471no—
1100C2×C4⋊C4—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—471no—
1107C2×C4⋊C4—471no—
1108C2×C4⋊C4—471no—
1109C2×C4⋊C4—944no—
1110C2×C4⋊C4—944no—
1111C2×C4⋊C4C22×D4711yescharacteristic
1112C2×C4⋊C4C22×D4711yescharacteristic
1113C2×C4⋊C4C22×D4711yescharacteristic
1114C2×C4⋊C4C22×D4711yescharacteristic
1115C2×C4⋊C4C22×D4711yescharacteristic
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4C22×D4711yescharacteristic
1147C2×C22⋊C4C22×D4711yescharacteristic
1148C2×C22⋊C4C22×D4711yescharacteristic
1149C2×C22⋊C4C22×D4711yescharacteristic
1150C2×C22⋊C4C22×D4711yescharacteristic
1151C2×C22⋊C4C22×D4711yescharacteristic
1152C2×C22⋊C4C22×D4711yescharacteristic
1153C2×C22⋊C4C22×D4711yescharacteristic
1154C2×C22⋊C4C22×D4711yescharacteristic
1155C2×C22⋊C4C22×D4711yescharacteristic
1156C2×C42—42no—
1157C2×C42—478no—
1158C2×C42—471no—
1159C2×C42—471no—
1160C2×C42—471no—
1161C2×C42—471no—
1162C2×C42—471no—
1163C2×C42—471no—
1164C2×C42—471no—
1165C2×C42—471no—
1166C2×C42—471no—
1167C2×C42—471no—
1168C2×C42—471no—
1169C2×C42—471no—
1170C2×C42—471no—
1171C2×C42—471no—
1172C2×C42—944no—
1173C2×C42—944no—
1174C2×C42—1882no—
1175C2×C42C22×D4711yescharacteristic
1176C2×C42C22×D4711yescharacteristic
1177C2×C42C22×D4711yescharacteristic
1178C2×C42C22×D4711yescharacteristic
1179C2×C42C22×D4711yescharacteristic
1180C2×C42C22×D4711yescharacteristic
1181#95—471no—
1182#95—471no—
1183#95—471no—
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95—471no—
1207#95C22×D4711yescharacteristic
1208#95C22×D4711yescharacteristic
1209#95C22×D4711yescharacteristic
1210#95C22×D4711yescharacteristic
1211#95C22×D4711yescharacteristic
1212#95C22×D4711yescharacteristic
1213C24—471no—
1214C24—471no—
1215C24C23×D4711yescharacteristic
1216C24C23×D4711yescharacteristic
1217C24C23×D4711yescharacteristic
1218#41—9432no—
1219C2×Q8—942no—
1220C2×Q8—942no—
1221C2×Q8—942no—
1222C2×Q8—942no—
1223C2×Q8—942no—
1224C2×Q8—942no—
1225C2×D4—22no—
1226C2×D4—22no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—22no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—41no—
1233C2×D4—474no—
1234C2×D4—942no—
1235C2×D4—942no—
1236C2×D4—942no—
1237C2×D4—942no—
1238C2×D4—942no—
1239C2×D4—942no—
1240C2×D4—942no—
1241C2×D4—942no—
1242C2×D4—942no—
1243C2×D4—942no—
1244C2×D4—942no—
1245C2×D4—942no—
1246C2×D4—942no—
1247C2×D4—942no—
1248C2×D4—942no—
1249C2×D4—942no—
1250C2×D4—942no—
1251C2×D4—1881no—
1252C2×D4—1881no—
1253C2×D4—1881no—
1254C2×D4#1062535014yes—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—471no—
1270C22×C4—474no—
1271C22×C4—474no—
1272C22×C4—471no—
1273C22×C4—471no—
1274C22×C4—471no—
1275C22×C4—471no—
1276C22×C4—471no—
1277C22×C4—471no—
1278C22×C4—471no—
1279C22×C4—471no—
1280C22×C4—471no—
1281C22×C4—471no—
1282C22×C4—471no—
1283C22×C4—471no—
1284C22×C4—471no—
1285C22×C4—942no—
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—942no—
1304C22×C4—942no—
1305C22×C4—942no—
1306C22×C4—942no—
1307C22×C4—942no—
1308C22×C4—942no—
1309C22×C4—942no—
1310C22×C4—942no—
1311C22×C4—1881no—
1312C22×C4—1881no—
1313C22×C4D4×D4714yes—
1314C22×C4C23×D4711yescharacteristic
1315C22×C4C23×D4711yescharacteristic
1316C22×C4C23×D4711yescharacteristic
1317C22×C4C23×D4711yescharacteristic
1318C22×C4C23×D4711yescharacteristic
1319C22×C4C23×D4711yescharacteristic
1320C22×C4C23×D4711yescharacteristic
1321C22×C4C23×D4711yescharacteristic
1322C22×C4C23×D4711yescharacteristic
1323C22×C4C23×D4711yescharacteristic
1324C22×C4C23×D4711yescharacteristic
1325C22×C4C23×D4711yescharacteristic
1326C4⋊C4—22no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—22no—
1330C4⋊C4—41no—
1331C4⋊C4—474no—
1332C4⋊C4—474no—
1333C4⋊C4—942no—
1334C4⋊C4—942no—
1335C4⋊C4—942no—
1336C4⋊C4—942no—
1337C4⋊C4—942no—
1338C4⋊C4—942no—
1339C4⋊C4—942no—
1340C4⋊C4—942no—
1341C4⋊C4—942no—
1342C4⋊C4—942no—
1343C4⋊C4—942no—
1344C4⋊C4—942no—
1345C4⋊C4—942no—
1346C4⋊C4—942no—
1347C4⋊C4—942no—
1348C4⋊C4—942no—
1349C4⋊C4—942no—
1350C4⋊C4—942no—
1351C4⋊C4—942no—
1352C4⋊C4—942no—
1353C4⋊C4—942no—
1354C4⋊C4—942no—
1355C4⋊C4—942no—
1356C4⋊C4—942no—
1357C4⋊C4—942no—
1358C4⋊C4—942no—
1359C4⋊C4—1881no—
1360C4⋊C4—1881no—
1361C4⋊C4—1881no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—41no—
1371C22⋊C4—41no—
1372C22⋊C4—942no—
1373C22⋊C4—942no—
1374C22⋊C4—942no—
1375C22⋊C4—942no—
1376C22⋊C4—942no—
1377C22⋊C4—942no—
1378C22⋊C4—942no—
1379C22⋊C4—942no—
1380C22⋊C4—942no—
1381C22⋊C4—942no—
1382C22⋊C4—942no—
1383C22⋊C4—942no—
1384C22⋊C4—942no—
1385C22⋊C4—942no—
1386C22⋊C4—942no—
1387C22⋊C4—942no—
1388C22⋊C4—942no—
1389C22⋊C4—942no—
1390C22⋊C4—942no—
1391C22⋊C4—942no—
1392C22⋊C4—942no—
1393C22⋊C4—942no—
1394C22⋊C4—942no—
1395C22⋊C4—942no—
1396C22⋊C4—1881no—
1397C22⋊C4—1881no—
1398C22⋊C4—1881no—
1399C22⋊C4—1881no—
1400C22⋊C4—1881no—
1401C22⋊C4—1881no—
1402C42—22no—
1403C42—22no—
1404C42—22no—
1405C42—22no—
1406C42—41no—
1407C42—41no—
1408C42—474no—
1409C42—474no—
1410C42—474no—
1411C42—474no—
1412C42—942no—
1413C42—942no—
1414C42—942no—
1415C42—942no—
1416C42—942no—
1417C42—942no—
1418C42—942no—
1419C42—942no—
1420C42—1881no—
1421C42—1881no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—472no—
1440C23—941no—
1441C23—941no—
1442C23—941no—
1443C23—941no—
1444C23—941no—
1445C23—941no—
1446C23—941no—
1447C23—941no—
1448C23—941no—
1449C23—941no—
1450C23—941no—
1451C23—941no—
1452C23—941no—
1453C23C2×D4×D4712yes—
1454C23#41×D4712yes—
1455C23C2×#1062535012yes—
1456C23C2×#1062535012yes—
1457C23C24×D4711yescharacteristic
1458Q8—948no—
1459Q8—1884no—
1460D4—28no—
1461D4—44no—
1462D4—44no—
1463D4—948no—
1464D4—948no—
1465D4—1884no—
1466D4—1884no—
1467D4—1884no—
1468D4—1884no—
1469D4—1884no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—28no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—44no—
1501C2×C4—44no—
1502C2×C4—44no—
1503C2×C4—44no—
1504C2×C4—472no—
1505C2×C4—472no—
1506C2×C4—472no—
1507C2×C4—472no—
1508C2×C4—472no—
1509C2×C4—472no—
1510C2×C4—472no—
1511C2×C4—472no—
1512C2×C4—472no—
1513C2×C4—948no—
1514C2×C4—948no—
1515C2×C4—948no—
1516C2×C4—948no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—941no—
1529C2×C4—941no—
1530C2×C4—941no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—941no—
1540C2×C4—941no—
1541C2×C4—941no—
1542C2×C4—941no—
1543C2×C4—941no—
1544C2×C4—941no—
1545C2×C4—941no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—1884no—
1551C2×C4—1884no—
1552C2×C4—1884no—
1553C2×C4—1884no—
1554C2×C4—1884no—
1555C2×C4—1884no—
1556C2×C4C2×D4×D4712yes—
1557C2×C4C2×D4×D4712yes—
1558C2×C4#41×D4712yes—
1559C2×C4#41×D4712yes—
1560C2×C4C2×#1062535012yes—
1561C2×C4#1309406912yes—
1562C2×C4#1309407112yes—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—22no—
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—942no—
1584C22—942no—
1585C22—942no—
1586C22—1881no—
1587C22—1881no—
1588C22—1881no—
1589C22—1881no—
1590C22—1881no—
1591C22—1881no—
1592C22—1881no—
1593C22—1881no—
1594C22—1881no—
1595C22—1881no—
1596C22—1881no—
1597C22#1568963214yes—
1598C22C22×D4×D4711yescharacteristic
1599C22C2×#41×D4711yescharacteristic
1600C22C2×#41×D4711yescharacteristic
1601C22C2×#41×D4711yescharacteristic
1602C22C22×#1062535011yescharacteristic
1603C22C2×#1309406911yescharacteristic
1604C22C2×#1309407111yescharacteristic
1605C4—22no—
1606C4—22no—
1607C4—22no—
1608C4—22no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—41no—
1615C4—41no—
1616C4—474no—
1617C4—942no—
1618C4—942no—
1619C4—942no—
1620C4—942no—
1621C4—942no—
1622C4—942no—
1623C4—1881no—
1624C4—1881no—
1625C4—1881no—
1626C4—1881no—
1627C4—1881no—
1628C4—1881no—
1629C4—1881no—
1630C4#1568970014yes—
1631C2—24no—
1632C2—42no—
1633C2—81no—
1634C2—3761no—
1635C2—1882no—
1636C2C2×#1568963211yescharacteristic
1637C2#532×D4711yescharacteristic
1638C2C2×#1568970011yescharacteristic
1639C2#2025699011yescharacteristic
1640C2#2025699211yescharacteristic
1641C2#2025700111yescharacteristic
1642C2#2025700311yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC4×#121×C47C2
hypercenterC4×#121D47
hypocenterC47#34964
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C2×#15689653C2semidirect
2. C2×C4×#10625352C2semidirect
3. #20248992C2semidirect
4. #20248990C2semidirect
5. #20248984C2semidirect
6. #20248982C2semidirect
7. #20248874C2semidirect
8. #20248774C2semidirect
9. #20248552C2semidirect
10. #20248325C2semidirect
11. #20247830C2semidirect
12. #20247828C2semidirect
13. #20246996C2semidirect
14. #20246994C2semidirect
15. #20246838C2semidirect
16. #20246836C2semidirect
17. #20246827C2semidirect
18. #20246825C2semidirect
19. #20246664C2semidirect
20. #20246662C2semidirect
21. #20246632C2semidirect
22. #20246630C2semidirect
23. C4×#13094002C2semidirect
24. C4×#13094001C2semidirect
25. C4×#13093998C2semidirect
26. C4×#13093997C2semidirect
27. C4×#13093996C2semidirect
28. C4×#13093996C2semidirect
29. C4×#13093996C2semidirect
30. C2×C4×Dic47⋊C4C2semidirect
31. C4×#121×C47C2semidirect
309. C2×C4×Dic47D4semidirect
584. Dic47⋊C4#41semidirect
585. Dic47⋊C4#41semidirect
839. C4×#121D47semidirect
1010. C47#34964semidirect

Maximal subgroups

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

subgroupindex
C2×#156896532
C2×C4×#106253522
#202489922
#202489902
#202489842
#202489822
#202488742
#202487742
#202485522
#202483252
#202478302
#202478282
#202469962
#202469942
#202468382
#202468362
#202468272
#202468252
#202466642
#202466622
#202466322
#202466302
C4×#130940022
C4×#130940012
C4×#130939982
C4×#130939972
C4×#130939962
C2×C4×Dic47⋊C42
C4×#121×C472
#3496447