Finite Group Databasebeta

← #26388979

Subgroups — #26388979

Order 12032.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689717C211yesmaximal, characteristic, complemented
2C22×D4×Dic47C211yesmaximal, characteristic, complemented
3#20251705C211yesmaximal, characteristic, complemented
4#20251694C211yesmaximal, characteristic, complemented
5#20251682C211yesmaximal, characteristic, complemented
6#20251673C211yesmaximal, characteristic, complemented
7#20249304C211yesmaximal, characteristic, complemented
8#20249284C211yesmaximal, characteristic, complemented
9#20249255C211yesmaximal, characteristic, complemented
10#20249226C211yesmaximal, characteristic, complemented
11#20247633C211yesmaximal, characteristic, complemented
12#20247528C211yesmaximal, characteristic, complemented
13#20247419C211yesmaximal, characteristic, complemented
14#20247380C211yesmaximal, characteristic, complemented
15#20247335C211yesmaximal, characteristic, complemented
16#20247266C211yesmaximal, characteristic, complemented
17#20247203C211yesmaximal, characteristic, complemented
18#20247195C211yesmaximal, characteristic, complemented
19#20247121C211yesmaximal, characteristic, complemented
20#20247054C211yesmaximal, characteristic, complemented
21#20246943C211yesmaximal, characteristic, complemented
22#20246861C211yesmaximal, characteristic, complemented
23#20246854C211yesmaximal, characteristic, complemented
24#20246784C211yesmaximal, characteristic, complemented
25#20246762C211yesmaximal, characteristic
26#20246089C211yesmaximal, characteristic, complemented
27#20246060C211yesmaximal, characteristic, complemented
28#20246014C211yesmaximal, characteristic, complemented
29#20245887C211yesmaximal, characteristic, complemented
30C2×#15688998C211yesmaximal, characteristic, complemented
31C47×#2405C211yesmaximal, characteristic, complemented
32C24×Dic47C2211yescharacteristic
33C24×Dic47C2211yescharacteristic
34#15689717—28no—
35C2×#13094019C2211yescharacteristic, complemented
36C2×#13094017C2211yescharacteristic, complemented
37C2×#13094015C2211yescharacteristic, complemented
38C2×#13094014C2211yescharacteristic, complemented
39C2×#13094008C2211yescharacteristic, complemented
40C2×#13094008C2211yescharacteristic, complemented
41C2×#13094007C2211yescharacteristic, complemented
42C2×#13094006C2211yescharacteristic, complemented
43C2×#13094004C2211yescharacteristic, complemented
44C2×#13094001C2211yescharacteristic
45C2×#13094001C2211yescharacteristic, complemented
46C2×#13094001C2211yescharacteristic, complemented
47C2×#13094001C2211yescharacteristic, complemented
48C2×#13093996C2211yescharacteristic
49C2×#13093996C2211yescharacteristic
50C2×#13093993C2211yescharacteristic
51C2×#13093993C2211yescharacteristic
52C2×D4×Dic47—28no—
53C2×D4×Dic47C2211yescharacteristic
54C2×D4×Dic47C2211yescharacteristic
55C2×D4×Dic47C2211yescharacteristic
56C2×D4×Dic47C2211yescharacteristic
57C2×D4×Dic47C2211yescharacteristic
58C2×D4×Dic47C2211yescharacteristic
59C2×D4×Dic47C2211yescharacteristic
60C2×D4×Dic47C2211yescharacteristic
61C2×(C22⋊D47)⋊C4C2211yescharacteristic
62C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
63C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
64C22×C4⋊Dic47C2211yescharacteristic
65C22×C4⋊Dic47C2211yescharacteristic, complemented
66C22×C4⋊Dic47C2211yescharacteristic, complemented
67C22×C22⋊Dic47C2211yescharacteristic
68C22×C22⋊Dic47C2211yescharacteristic
69C22×C22⋊Dic47C2211yescharacteristic
70C22×C4×Dic47C2211yescharacteristic
71#15689062C2211yescharacteristic, complemented
72#15689060C2211yescharacteristic, complemented
73#15689059C2211yescharacteristic, complemented
74#15689059C2211yescharacteristic, complemented
75#15689056C2211yescharacteristic, complemented
76#15689055C2211yescharacteristic, complemented
77#15689055C2211yescharacteristic, complemented
78#15689053C2211yescharacteristic, complemented
79#15689051C2211yescharacteristic, complemented
80#15689051C2211yescharacteristic, complemented
81#15689051C2211yescharacteristic, complemented
82#15689051C2211yescharacteristic, complemented
83#15689051C2211yescharacteristic, complemented
84#15689048C2211yescharacteristic, complemented
85#15689046C2211yescharacteristic, complemented
86#15689046C2211yescharacteristic, complemented
87#15689046C2211yescharacteristic, complemented
88#15689045C2211yescharacteristic, complemented
89#15689044C2211yescharacteristic, complemented
90#15689039C2211yescharacteristic, complemented
91#15689038C2211yescharacteristic, complemented
92#15689038C2211yescharacteristic, complemented
93#15689038C2211yescharacteristic, complemented
94#15689037C2211yescharacteristic
95#15689037C2211yescharacteristic
96#15689035C2211yescharacteristic, complemented
97#15689031C2211yescharacteristic
98#15689031C2211yescharacteristic
99#15689022C2211yescharacteristic, complemented
100#15689022C2211yescharacteristic, complemented
101#15689020C2211yescharacteristic, complemented
102#15689018C2211yescharacteristic, complemented
103#15689017C2211yescharacteristic, complemented
104#15689017C2211yescharacteristic, complemented
105#15689016C2211yescharacteristic, complemented
106#15689016C2211yescharacteristic, complemented
107#15689015C2211yescharacteristic, complemented
108#15689013C2211yescharacteristic, complemented
109#15689012C2211yescharacteristic, complemented
110#15689011C2211yescharacteristic, complemented
111#15689010C2211yescharacteristic, complemented
112#15689009C2211yescharacteristic, complemented
113#15689009C2211yescharacteristic, complemented
114#15689008C2211yescharacteristic, complemented
115#15689008C2211yescharacteristic, complemented
116#15689006C2211yescharacteristic, complemented
117#15689006C2211yescharacteristic, complemented
118#15689005C2211yescharacteristic, complemented
119#15689004C2211yescharacteristic, complemented
120#15689004C2211yescharacteristic, complemented
121#15689003C2211yescharacteristic
122#15689003C2211yescharacteristic
123#15689002C2211yescharacteristic
124#15689002C2211yescharacteristic, complemented
125#15689000C2211yescharacteristic
126#15689000C2211yescharacteristic
127#15689000C2211yescharacteristic
128#15689000C2211yescharacteristic, complemented
129#15689000C2211yescharacteristic, complemented
130#15689000C2211yescharacteristic, complemented
131#15689000C2211yescharacteristic, complemented
132#15688999C2211yescharacteristic, complemented
133#15688998C2211yescharacteristic
134#15688998C2211yescharacteristic
135#15688998C2211yescharacteristic
136#15688998C2211yescharacteristic
137#15688998C2211yescharacteristic
138#15688998C2211yescharacteristic, complemented
139#15688998C2211yescharacteristic, complemented
140#15688998C2211yescharacteristic, complemented
141#15688998C2211yescharacteristic, complemented
142#15688998C2211yescharacteristic, complemented
143#15688998C2211yescharacteristic, complemented
144#15688998C2211yescharacteristic, complemented
145#15688998C2211yescharacteristic, complemented
146#15688998C2211yescharacteristic, complemented
147#15688997C2211yescharacteristic, complemented
148#15688996C2211yescharacteristic
149#15688996C2211yescharacteristic, complemented
150#15688995C2211yescharacteristic
151#15688995C2211yescharacteristic
152#15688995C2211yescharacteristic, complemented
153#15688995C2211yescharacteristic, complemented
154#15688995C2211yescharacteristic, complemented
155#15688995C2211yescharacteristic, complemented
156#15688995C2211yescharacteristic, complemented
157#15688990C2211yescharacteristic, complemented
158#15688987C2211yescharacteristic, complemented
159#15688986C2211yescharacteristic, complemented
160#15688984C2211yescharacteristic, complemented
161#15688984C2211yescharacteristic, complemented
162#15688981C2211yescharacteristic
163#15688981C2211yescharacteristic
164#15688981C2211yescharacteristic
165#15688981C2211yescharacteristic, complemented
166#15688981C2211yescharacteristic, complemented
167#15688981C2211yescharacteristic, complemented
168#15688979C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic
170C22⋊C4×Dic47C2211yescharacteristic, complemented
171C22⋊C4×Dic47C2211yescharacteristic, complemented
172C2×C47⋊#95C2211yescharacteristic, complemented
173C2×C47⋊#95C2211yescharacteristic, complemented
174C23×D4×C47C2211yescharacteristic
175C2×#123×C47C2211yescharacteristic
176C2×#123×C47C2211yescharacteristic
177C22×C22⋊C4×C47C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#394C2211yescharacteristic
180C47×#394C2211yescharacteristic
181C47×#394C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#385C2211yescharacteristic
185C47×#385C2211yescharacteristic
186C47×#379C2211yescharacteristic
187C47×#379C2211yescharacteristic
188C47×#379C2211yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C23×Dic47—24no—
196C23×Dic47—24no—
197C23×Dic47—42no—
198C23×Dic47—42no—
199C23×Dic47—42no—
200C23×Dic47—42no—
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C23×Dic47C2311yescharacteristic
211C23×Dic47C2311yescharacteristic
212C23×Dic47C2311yescharacteristic
213C23×Dic47C2311yescharacteristic
214C23×Dic47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216#13094019—24no—
217#13094017—24no—
218#13094015—24no—
219#13094014—24no—
220#13094008—24no—
221#13094008—42no—
222#13094007—24no—
223#13094006—24no—
224#13094004—24no—
225#13094001—24no—
226#13094001—24no—
227#13094001—42no—
228#13094001—42no—
229#13093996—24no—
230#13093996—24no—
231#13093993—24no—
232#13093993—42no—
233D4×Dic47—24no—
234D4×Dic47—24no—
235D4×Dic47—24no—
236D4×Dic47—24no—
237D4×Dic47—24no—
238D4×Dic47—24no—
239D4×Dic47—24no—
240D4×Dic47D418yescomplemented
241(C22⋊D47)⋊C4—24no—
242(C22⋊D47)⋊C4—42no—
243(C22⋊D47)⋊C4—42no—
244C2×C4⋊Dic47—24no—
245C2×C4⋊Dic47—24no—
246C2×C4⋊Dic47—42no—
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×C4⋊Dic47C2311yescharacteristic
260C2×C4⋊Dic47C2311yescharacteristic
261C2×C4⋊Dic47C2311yescharacteristic
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⋊Dic47—24no—
278C2×C22⋊Dic47—24no—
279C2×C22⋊Dic47—42no—
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×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×C22⋊Dic47C2311yescharacteristic
292C2×C22⋊Dic47C2311yescharacteristic
293C2×C22⋊Dic47C2311yescharacteristic
294C2×C22⋊Dic47C2311yescharacteristic
295C2×C22⋊Dic47C2311yescharacteristic
296C2×C22⋊Dic47C2311yescharacteristic
297C2×C22⋊Dic47C2311yescharacteristic
298C2×C22⋊Dic47C2311yescharacteristic
299C2×C22⋊Dic47C2311yescharacteristic
300C2×C22⋊Dic47C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×C4×Dic47—24no—
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
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
350C25×C47C2311yescharacteristic
351C25×C47C2311yescharacteristic
352C22×D4×C47—24no—
353C22×D4×C47—24no—
354C22×D4×C47—24no—
355C22×D4×C47C2311yescharacteristic
356C22×D4×C47C2311yescharacteristic
357C22×D4×C47C2311yescharacteristic
358C22×D4×C47C2311yescharacteristic
359C23×C4×C47C2311yescharacteristic
360C23×C4×C47C2311yescharacteristic
361C23×C4×C47C2311yescharacteristic
362#123×C47—24no—
363#123×C47—24no—
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47—24no—
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×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C22⋊C4×C47C2311yescharacteristic
385C2×C22⋊C4×C47C2311yescharacteristic
386C2×C22⋊C4×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47—22no—
392C24×C47—22no—
393C24×C47—22no—
394C24×C47—22no—
395C24×C47—22no—
396C24×C47—22no—
397C24×C47—22no—
398C24×C47—22no—
399C24×C47—22no—
400C24×C47—41no—
401C24×C47—41no—
402C24×C47—41no—
403C24×C47—41no—
404C24×C47#4114yes—
405C24×C47C2411yescharacteristic
406C24×C47C2411yescharacteristic
407C24×C47C2411yescharacteristic
408C24×C47C2411yescharacteristic
409C24×C47C2411yescharacteristic
410C23×D47C2411yescharacteristic
411C2×D4×C47—232no—
412C2×D4×C47—22no—
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C2×D4×C47—22no—
417C2×D4×C47—22no—
418C2×D4×C47—22no—
419C2×D4×C47—22no—
420C2×D4×C47—22no—
421C2×D4×C47—22no—
422C2×D4×C47C2×D414yes—
423C2×D4×C47#4114yes—
424C22×C4×C47—22no—
425C22×C4×C47—22no—
426C22×C4×C47—22no—
427C22×C4×C47—22no—
428C22×C4×C47—22no—
429C22×C4×C47—22no—
430C22×C4×C47—22no—
431C22×C4×C47—41no—
432C22×C4×C47—41no—
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47—22no—
450C2×C22⋊D47—22no—
451C2×C22⋊D47—22no—
452C2×C22⋊D47—41no—
453C2×C22⋊D47—41no—
454C2×C22⋊D47—41no—
455C2×C22⋊D47—41no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47—41no—
458C22×Dic47—22no—
459C22×Dic47—22no—
460C22×Dic47—22no—
461C22×Dic47—22no—
462C22×Dic47—22no—
463C22×Dic47—22no—
464C22×Dic47—22no—
465C22×Dic47—22no—
466C22×Dic47—22no—
467C22×Dic47—22no—
468C22×Dic47—22no—
469C22×Dic47—22no—
470C22×Dic47—22no—
471C22×Dic47—22no—
472C22×Dic47—22no—
473C22×Dic47—22no—
474C22×Dic47—22no—
475C22×Dic47—22no—
476C22×Dic47—22no—
477C22×Dic47—22no—
478C22×Dic47—22no—
479C22×Dic47—41no—
480C22×Dic47—41no—
481C22×Dic47—41no—
482C22×Dic47—41no—
483C22×Dic47—41no—
484C22×Dic47—41no—
485C22×Dic47—41no—
486C22×Dic47—41no—
487C22×Dic47—41no—
488C22×Dic47—41no—
489C22×Dic47—41no—
490C22×Dic47—41no—
491C22×Dic47—41no—
492C22×Dic47—41no—
493C22×Dic47—41no—
494C22×Dic47—41no—
495C22×Dic47—41no—
496C22×Dic47—41no—
497C22×Dic47—41no—
498C22×Dic47—416no—
499C22×Dic47—416no—
500C22×Dic47C2×D414yes—
501C22×Dic47C2×D414yes—
502C22×Dic47C2411yescharacteristic
503C22×Dic47C2411yescharacteristic
504C22×Dic47C2411yescharacteristic
505C22×Dic47C2411yescharacteristic
506C22×Dic47C2411yescharacteristic
507C22×Dic47C2411yescharacteristic
508C22×Dic47C2411yescharacteristic
509C22×Dic47C2411yescharacteristic
510C22×Dic47C2411yescharacteristic
511C22×Dic47C2411yescharacteristic
512C22×Dic47C2411yescharacteristic
513C22×Dic47C2411yescharacteristic
514C22×Dic47C2411yescharacteristic
515C22×Dic47C2411yescharacteristic
516C22×Dic47C2411yescharacteristic
517C2×C4×D47—22no—
518C2×C4×D47—41no—
519C2×C4×D47—41no—
520C2×Dic94—22no—
521C2×Dic94—41no—
522C2×Dic94—41no—
523C4⋊C4×C47—22no—
524C4⋊C4×C47—22no—
525C4⋊C4×C47—22no—
526C4⋊C4×C47—22no—
527C22⋊C4×C47—22no—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—22no—
535C22⋊C4×C47—22no—
536C22⋊C4×C47—22no—
537C22⋊C4×C47—22no—
538C22⋊C4×C47—22no—
539C22⋊C4×C47—41no—
540C22⋊C4×C47—41no—
541C22⋊C4×C47—41no—
542C22⋊C4×C47—41no—
543C22⋊C4×C47—41no—
544C22⋊C4×C47—41no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—22no—
550C22⋊Dic47—22no—
551C22⋊Dic47—22no—
552C22⋊Dic47—22no—
553C22⋊Dic47—22no—
554C22⋊Dic47—22no—
555C22⋊Dic47—22no—
556C22⋊Dic47—22no—
557C22⋊Dic47—22no—
558C22⋊Dic47—41no—
559C22⋊Dic47—41no—
560C22⋊Dic47—41no—
561C22⋊Dic47—41no—
562C22⋊Dic47—41no—
563C22⋊Dic47—41no—
564C22⋊Dic47C2×D414yes—
565C22⋊Dic47C2×D414yes—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—22no—
571(C2×D47)⋊C4—22no—
572(C2×D47)⋊C4—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575C4⋊Dic47—22no—
576C4⋊Dic47—22no—
577C4⋊Dic47—22no—
578C4⋊Dic47—22no—
579C4⋊Dic47—22no—
580C4⋊Dic47—22no—
581C4⋊Dic47—22no—
582C4⋊Dic47—22no—
583C4⋊Dic47—22no—
584C4⋊Dic47—22no—
585C4⋊Dic47—41no—
586C4⋊Dic47—41no—
587C4⋊Dic47—41no—
588C4⋊Dic47—41no—
589C4⋊Dic47C2×D414yes—
590Dic47⋊C4—22no—
591Dic47⋊C4—22no—
592Dic47⋊C4—22no—
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—22no—
596Dic47⋊C4—22no—
597Dic47⋊C4—22no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603Dic47⋊C4—41no—
604Dic47⋊C4—41no—
605C4×Dic47—22no—
606C4×Dic47—22no—
607C4×Dic47—22no—
608C4×Dic47—22no—
609C4×Dic47—41no—
610C4×Dic47—41no—
611C4×Dic47C2×D414yes—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—28no—
621C23×C47—28no—
622C23×C47—28no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—21no—
638C23×C47—21no—
639C23×C47—21no—
640C23×C47—21no—
641C23×C47—44no—
642C23×C47—44no—
643C23×C47—44no—
644C23×C47—44no—
645C23×C47—44no—
646C23×C47—44no—
647C23×C47—44no—
648C23×C47—44no—
649C23×C47—44no—
650C23×C47—44no—
651C23×C47—44no—
652C23×C47C22×D412yes—
653C23×C47C22×D412yes—
654C23×C47C2×#4112yes—
655C23×C47C2×#4112yes—
656C23×C47C2×#4112yes—
657C23×C47C2×#4112yes—
658C23×C47C2×#4112yes—
659C23×C47H(5,𝔽2)12yes—
660C23×C472−1+412yes—
661C23×C47C2511yescharacteristic
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—21no—
669D4×C47—28no—
670D4×C47—28no—
671D4×C47—28no—
672D4×C47—28no—
673C2×C4×C47—28no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—44no—
703C2×C4×C47—44no—
704C2×C4×C47C22×D412yes—
705C2×C4×C47C2×#4112yes—
706C22⋊D47—44no—
707C22⋊D47—44no—
708C22⋊D47—44no—
709C22⋊D47—82no—
710C22⋊D47—82no—
711C2×Dic47—28no—
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—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—44no—
753C2×Dic47—44no—
754C2×Dic47—44no—
755C2×Dic47—44no—
756C2×Dic47—44no—
757C2×Dic47—44no—
758C2×Dic47—44no—
759C2×Dic47—44no—
760C2×Dic47—44no—
761C2×Dic47—44no—
762C2×Dic47—44no—
763C2×Dic47—82no—
764C2×Dic47—82no—
765C2×Dic47C22×D412yes—
766C2×Dic47C22×D412yes—
767C2×Dic47C22×D412yes—
768C2×Dic47C22×D412yes—
769C2×Dic47H(5,𝔽2)12yes—
770C4×D47—82no—
771Dic94—82no—
772#34991—471nomaximal, Sylow
773C22×C47—22no—
774C22×C47—22no—
775C22×C47—22no—
776C22×C47—22no—
777C22×C47—22no—
778C22×C47—22no—
779C22×C47—22no—
780C22×C47—22no—
781C22×C47—22no—
782C22×C47—22no—
783C22×C47—22no—
784C22×C47—22no—
785C22×C47—22no—
786C22×C47—22no—
787C22×C47—22no—
788C22×C47—22no—
789C22×C47—22no—
790C22×C47—22no—
791C22×C47—22no—
792C22×C47—22no—
793C22×C47—22no—
794C22×C47—416no—
795C22×C47—416no—
796C22×C47—41no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
808C22×C47#52514yes—
809C22×C47#53914yescomplemented
810C22×C47C23×D411yescharacteristic
811C22×C47C22×#4111yescharacteristic
812C22×C47C22×#4111yescharacteristic
813C22×C47C2×H(5,𝔽2)11yescharacteristic
814C22×C47C2×H(5,𝔽2)11yescharacteristic
815C22×C47C2×2−1+411yescharacteristic
816C22×C47#58511yescharacteristic
817C2×D47—41no—
818C2×D47—41no—
819C2×D47—41no—
820C2×D47—41no—
821C2×D47—41no—
822C2×D47—41no—
823C2×D47—41no—
824C4×C47—22no—
825C4×C47—22no—
826C4×C47—41no—
827C4×C47—41no—
828C4×C47—41no—
829C4×C47—41no—
830C4×C47—41no—
831C4×C47—41no—
832C4×C47—41no—
833C4×C47—41no—
834Dic47—22no—
835Dic47—22no—
836Dic47—22no—
837Dic47—22no—
838Dic47—22no—
839Dic47—41no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47—41no—
844Dic47—41no—
845Dic47—41no—
846Dic47—41no—
847Dic47—41no—
848Dic47—41no—
849C2×#539—471no—
850C22×C4×D4—471no—
851#2852—471no—
852#2851—471no—
853#2849—471no—
854#2848—471no—
855#2638—471no—
856#2636—471no—
857#2633—471no—
858#2630—471no—
859#2480—471no—
860#2473—471no—
861#2466—471no—
862#2463—471no—
863#2460—471no—
864#2455—471no—
865#2449—471no—
866#2449—471no—
867#2443—471no—
868#2437—471no—
869#2425—471no—
870#2419—471no—
871#2418—471no—
872#2412—471no—
873#2410—471no—
874#2405D4711yescharacteristic, complemented
875#2325—471no—
876#2322—471no—
877#2318—471no—
878C4×#120—471no—
879C2×#385—471no—
880C2×C47—24no—
881C2×C47—24no—
882C2×C47—42no—
883C2×C47—42no—
884C2×C47—42no—
885C2×C47C2×#52511yescharacteristic
886C2×C47C2×#53911yescharacteristic
887C2×C47#345911yescharacteristic
888C2×C47#348411yescharacteristic
889C2×C47#348911yescharacteristic
890C2×C47#351311yescharacteristic
891C2×C47#352011yescharacteristic
892D47—81no—
893C23×D4C2×D4711yescharacteristic
894C24×C4—471no—
895C24×C4—471no—
896#539—948no—
897C2×#126—471no—
898C2×#126—471no—
899C2×#125—471no—
900C2×#125—471no—
901C2×#123—471no—
902C2×#123—471no—
903C2×#123—471no—
904C2×#123—471no—
905C2×#123C2×D4711yescharacteristic
906C2×#123C2×D4711yescharacteristic
907C2×C22⋊Q8—471no—
908C2×C22⋊Q8—471no—
909C2×C22⋊Q8—471no—
910C2×C22⋊Q8—471no—
911C2×C22⋊Q8—471no—
912C2×#121—471no—
913C2×#121—471no—
914C2×#120—471no—
915C2×#120—471no—
916C2×C4×D4—471no—
917C2×C4×D4—471no—
918C2×C4×D4—471no—
919C2×C4×D4—471no—
920C2×C4×D4—471no—
921C2×C4×D4—471no—
922C2×C4×D4—471no—
923C2×C4×D4—471no—
924C2×C4×D4—471no—
925C2×C4×D4—471no—
926C2×C4×D4—471no—
927C2×C4×D4—948no—
928C22×C4⋊C4—471no—
929C22×C4⋊C4—471no—
930C22×C4⋊C4—471no—
931C22×C22⋊C4—471no—
932C22×C22⋊C4—471no—
933C22×C22⋊C4—471no—
934C22×C22⋊C4C2×D4711yescharacteristic
935C22×C42—471no—
936#400—471no—
937#399—471no—
938#399—471no—
939#399—471no—
940#398—471no—
941#398—471no—
942#398—471no—
943#398—471no—
944#397—471no—
945#397—471no—
946#397—471no—
947#397—471no—
948#397—471no—
949#397—471no—
950#396—471no—
951#396—471no—
952#396—471no—
953#396—471no—
954#395—471no—
955#394—471no—
956#394—471no—
957#394—471no—
958#394—471no—
959#394—471no—
960#394—471no—
961#394C2×D4711yescharacteristic
962#394C2×D4711yescharacteristic
963#394C2×D4711yescharacteristic
964#394C2×D4711yescharacteristic
965#393—471no—
966#392—471no—
967#392—471no—
968#389—471no—
969#389—471no—
970#389—471no—
971#389—471no—
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#387—471no—
981#387—471no—
982#387—471no—
983#387—471no—
984#387—471no—
985#387—471no—
986#387—471no—
987#387—471no—
988#387—471no—
989#387—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#386—471no—
1001#386—471no—
1002#386C2×D4711yescharacteristic
1003#386C2×D4711yescharacteristic
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385—471no—
1009#385—471no—
1010#385—471no—
1011#385—471no—
1012#385—471no—
1013#385—471no—
1014#385—471no—
1015#385—471no—
1016#385—471no—
1017#385—471no—
1018#385—471no—
1019#385—471no—
1020#385—471no—
1021#385—471no—
1022#385—471no—
1023#385—471no—
1024#385—471no—
1025#385—471no—
1026#385—471no—
1027#385—471no—
1028#385C2×D4711yescharacteristic
1029#385C2×D4711yescharacteristic
1030#383—471no—
1031#382—471no—
1032#381—471no—
1033#381—471no—
1034#381—471no—
1035#380—471no—
1036#380—471no—
1037#380—471no—
1038#380—471no—
1039#380—471no—
1040#380—471no—
1041#379—471no—
1042#379C2×D4711yescharacteristic
1043#379C2×D4711yescharacteristic
1044#379C2×D4711yescharacteristic
1045C4×C22⋊C4—471no—
1046C4×C22⋊C4—471no—
1047C4×C22⋊C4—471no—
1048C2×#95—471no—
1049C2×#95—471no—
1050C47#3499111yescharacteristic, complemented, Sylow
1051C25C22×D4711yescharacteristic
1052C25C22×D4711yescharacteristic
1053C22×Q8—471no—
1054C22×D4—24no—
1055C22×D4—24no—
1056C22×D4—24no—
1057C22×D4—471no—
1058C22×D4—471no—
1059C22×D4—471no—
1060C22×D4—471no—
1061C22×D4—471no—
1062C22×D4C22×D4711yescharacteristic
1063C22×D4C22×D4711yescharacteristic
1064C22×D4C22×D4711yescharacteristic
1065C22×D4C22×D4711yescharacteristic
1066C23×C4—471no—
1067C23×C4—471no—
1068C23×C4—471no—
1069C23×C4—471no—
1070C23×C4—471no—
1071C23×C4—471no—
1072C23×C4—471no—
1073C23×C4—471no—
1074C23×C4—471no—
1075C23×C4—471no—
1076C23×C4—471no—
1077C23×C4—471no—
1078C23×C4—471no—
1079C23×C4—471no—
1080C23×C4—471no—
1081C23×C4—944no—
1082C23×C4—944no—
1083C23×C4—1882no—
1084C23×C4—1882no—
1085C23×C4—1882no—
1086C23×C4—1882no—
1087C23×C4C22×D4711yescharacteristic
1088C23×C4C22×D4711yescharacteristic
1089C23×C4C22×D4711yescharacteristic
1090#126—944no—
1091#126—944no—
1092#125—944no—
1093#125—944no—
1094#123—24no—
1095#123—24no—
1096#123—944no—
1097#123—944no—
1098#123—944no—
1099#123—1882no—
1100C22⋊Q8—944no—
1101C22⋊Q8—944no—
1102C22⋊Q8—944no—
1103C22⋊Q8—1882no—
1104C22⋊Q8—1882no—
1105#121—944no—
1106#121—944no—
1107#120—944no—
1108#120—1882no—
1109C4×D4—478no—
1110C4×D4—944no—
1111C4×D4—944no—
1112C4×D4—944no—
1113C4×D4—944no—
1114C4×D4—944no—
1115C4×D4—944no—
1116C4×D4—944no—
1117C4×D4—944no—
1118C4×D4—1882no—
1119C4×D4—1882no—
1120C2×C4⋊C4—471no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—471no—
1123C2×C4⋊C4—471no—
1124C2×C4⋊C4—471no—
1125C2×C4⋊C4—471no—
1126C2×C4⋊C4—471no—
1127C2×C4⋊C4—471no—
1128C2×C4⋊C4—471no—
1129C2×C4⋊C4—471no—
1130C2×C4⋊C4—471no—
1131C2×C4⋊C4—471no—
1132C2×C4⋊C4—471no—
1133C2×C4⋊C4—471no—
1134C2×C4⋊C4—471no—
1135C2×C4⋊C4—471no—
1136C2×C4⋊C4—471no—
1137C2×C4⋊C4—471no—
1138C2×C4⋊C4—471no—
1139C2×C4⋊C4—471no—
1140C2×C4⋊C4—471no—
1141C2×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×C4⋊C4—471no—
1144C2×C4⋊C4—471no—
1145C2×C4⋊C4—471no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4—944no—
1151C2×C4⋊C4—944no—
1152C2×C4⋊C4—1882no—
1153C2×C4⋊C4C22×D4711yescharacteristic
1154C2×C4⋊C4C22×D4711yescharacteristic
1155C2×C4⋊C4C22×D4711yescharacteristic
1156C2×C4⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4—24no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—944no—
1189C2×C22⋊C4—944no—
1190C2×C22⋊C4—1882no—
1191C2×C22⋊C4C22×D4711yescharacteristic
1192C2×C22⋊C4C22×D4711yescharacteristic
1193C2×C22⋊C4C22×D4711yescharacteristic
1194C2×C22⋊C4C22×D4711yescharacteristic
1195C2×C22⋊C4C22×D4711yescharacteristic
1196C2×C22⋊C4C22×D4711yescharacteristic
1197C2×C22⋊C4C22×D4711yescharacteristic
1198C2×C22⋊C4C22×D4711yescharacteristic
1199C2×C22⋊C4C22×D4711yescharacteristic
1200C2×C22⋊C4C22×D4711yescharacteristic
1201C2×C22⋊C4C22×D4711yescharacteristic
1202C2×C22⋊C4C22×D4711yescharacteristic
1203C2×C22⋊C4C22×D4711yescharacteristic
1204C2×C22⋊C4C22×D4711yescharacteristic
1205C2×C22⋊C4C22×D4711yescharacteristic
1206C2×C22⋊C4C22×D4711yescharacteristic
1207C2×C22⋊C4C22×D4711yescharacteristic
1208C2×C22⋊C4C22×D4711yescharacteristic
1209C2×C42—471no—
1210C2×C42—471no—
1211C2×C42—471no—
1212C2×C42—471no—
1213C2×C42—471no—
1214C2×C42—471no—
1215C2×C42—471no—
1216C2×C42—944no—
1217#95—471no—
1218#95—471no—
1219#95—471no—
1220#95—471no—
1221#95—471no—
1222#95—471no—
1223#95—471no—
1224#95—471no—
1225#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95—471no—
1237#95—471no—
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95—471no—
1246#95—471no—
1247#95—471no—
1248#95—471no—
1249#95C22×D4711yescharacteristic
1250#95C22×D4711yescharacteristic
1251#95C22×D4711yescharacteristic
1252#95C22×D4711yescharacteristic
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—22no—
1257C24—22no—
1258C24—22no—
1259C24—22no—
1260C24—22no—
1261C24—22no—
1262C24—41no—
1263C24—41no—
1264C24—41no—
1265C24—41no—
1266C24—471no—
1267C24#1062535214yes—
1268C24C23×D4711yescharacteristic
1269C24C23×D4711yescharacteristic
1270C24C23×D4711yescharacteristic
1271C24C23×D4711yescharacteristic
1272C24C23×D4711yescharacteristic
1273C2×Q8—942no—
1274C2×Q8—1881no—
1275C2×Q8—1881no—
1276C2×D4—232no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—942no—
1288C2×D4—942no—
1289C2×D4—942no—
1290C2×D4—942no—
1291C2×D4—942no—
1292C2×D4—942no—
1293C2×D4—942no—
1294C2×D4—942no—
1295C2×D4—942no—
1296C2×D4—1881no—
1297C2×D4—1881no—
1298C2×D4—1881no—
1299C2×D4—1881no—
1300C2×D4—1881no—
1301C2×D4—1881no—
1302C2×D4D4×D4714yes—
1303C2×D4#1062535214yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—471no—
1314C22×C4—471no—
1315C22×C4—471no—
1316C22×C4—471no—
1317C22×C4—471no—
1318C22×C4—474no—
1319C22×C4—474no—
1320C22×C4—471no—
1321C22×C4—471no—
1322C22×C4—471no—
1323C22×C4—471no—
1324C22×C4—471no—
1325C22×C4—471no—
1326C22×C4—471no—
1327C22×C4—471no—
1328C22×C4—471no—
1329C22×C4—471no—
1330C22×C4—942no—
1331C22×C4—942no—
1332C22×C4—942no—
1333C22×C4—942no—
1334C22×C4—942no—
1335C22×C4—942no—
1336C22×C4—942no—
1337C22×C4—942no—
1338C22×C4—942no—
1339C22×C4—942no—
1340C22×C4—942no—
1341C22×C4—942no—
1342C22×C4—942no—
1343C22×C4—942no—
1344C22×C4—942no—
1345C22×C4—942no—
1346C22×C4—942no—
1347C22×C4—942no—
1348C22×C4—942no—
1349C22×C4—942no—
1350C22×C4—942no—
1351C22×C4—942no—
1352C22×C4—1881no—
1353C22×C4—1881no—
1354C22×C4—1881no—
1355C22×C4—1881no—
1356C22×C4—1881no—
1357C22×C4—1881no—
1358C22×C4—1881no—
1359C22×C4—1881no—
1360C22×C4—1881no—
1361C22×C4—1881no—
1362C22×C4—1881no—
1363C22×C4—1881no—
1364C22×C4—1881no—
1365C22×C4—1881no—
1366C22×C4—1881no—
1367C22×C4—1881no—
1368C22×C4—1881no—
1369C22×C4—1881no—
1370C22×C4—1881no—
1371C22×C4—1881no—
1372C22×C4—1881no—
1373C22×C4—18816no—
1374C22×C4—18816no—
1375C22×C4C23×D4711yescharacteristic
1376C22×C4C23×D4711yescharacteristic
1377C22×C4C23×D4711yescharacteristic
1378C22×C4C23×D4711yescharacteristic
1379C22×C4C23×D4711yescharacteristic
1380C22×C4C23×D4711yescharacteristic
1381C22×C4C23×D4711yescharacteristic
1382C22×C4C23×D4711yescharacteristic
1383C22×C4C23×D4711yescharacteristic
1384C22×C4C23×D4711yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—474no—
1390C4⋊C4—942no—
1391C4⋊C4—942no—
1392C4⋊C4—942no—
1393C4⋊C4—942no—
1394C4⋊C4—942no—
1395C4⋊C4—942no—
1396C4⋊C4—942no—
1397C4⋊C4—942no—
1398C4⋊C4—942no—
1399C4⋊C4—942no—
1400C4⋊C4—942no—
1401C4⋊C4—942no—
1402C4⋊C4—942no—
1403C4⋊C4—942no—
1404C4⋊C4—942no—
1405C4⋊C4—942no—
1406C4⋊C4—942no—
1407C4⋊C4—942no—
1408C4⋊C4—1881no—
1409C4⋊C4—1881no—
1410C4⋊C4—1881no—
1411C4⋊C4—1881no—
1412C4⋊C4—1881no—
1413C4⋊C4—1881no—
1414C4⋊C4—1881no—
1415C4⋊C4—1881no—
1416C4⋊C4—1881no—
1417C4⋊C4—1881no—
1418C4⋊C4—1881no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—22no—
1426C22⋊C4—22no—
1427C22⋊C4—22no—
1428C22⋊C4—22no—
1429C22⋊C4—22no—
1430C22⋊C4—22no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—41no—
1434C22⋊C4—41no—
1435C22⋊C4—41no—
1436C22⋊C4—41no—
1437C22⋊C4—474no—
1438C22⋊C4—474no—
1439C22⋊C4—942no—
1440C22⋊C4—942no—
1441C22⋊C4—942no—
1442C22⋊C4—942no—
1443C22⋊C4—942no—
1444C22⋊C4—942no—
1445C22⋊C4—942no—
1446C22⋊C4—942no—
1447C22⋊C4—942no—
1448C22⋊C4—942no—
1449C22⋊C4—942no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—942no—
1456C22⋊C4—942no—
1457C22⋊C4—942no—
1458C22⋊C4—1881no—
1459C22⋊C4—1881no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4—1881no—
1466C22⋊C4—1881no—
1467C42—474no—
1468C42—942no—
1469C42—942no—
1470C42—942no—
1471C42—942no—
1472C42—1881no—
1473C42—1881no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—28no—
1483C23—28no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—28no—
1503C23—44no—
1504C23—44no—
1505C23—44no—
1506C23—44no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—44no—
1512C23—44no—
1513C23—44no—
1514C23—941no—
1515C23—941no—
1516C23—941no—
1517C23—941no—
1518C23—941no—
1519C23—941no—
1520C23—941no—
1521C23C2×D4×D4712yes—
1522C23C2×D4×D4712yes—
1523C23C2×#1062535212yes—
1524C23C2×#1062535212yes—
1525C23C2×#1062535212yes—
1526C23C2×#1062535212yes—
1527C23C2×#1062535212yes—
1528C23#1309407012yes—
1529C23#1309407112yes—
1530C23C24×D4711yescharacteristic
1531Q8—3762no—
1532D4—28no—
1533D4—28no—
1534D4—28no—
1535D4—28no—
1536D4—3762no—
1537D4—3762no—
1538D4—1884no—
1539D4—1884no—
1540D4—1884no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—472no—
1573C2×C4—472no—
1574C2×C4—472no—
1575C2×C4—472no—
1576C2×C4—472no—
1577C2×C4—948no—
1578C2×C4—941no—
1579C2×C4—941no—
1580C2×C4—941no—
1581C2×C4—941no—
1582C2×C4—941no—
1583C2×C4—941no—
1584C2×C4—941no—
1585C2×C4—941no—
1586C2×C4—941no—
1587C2×C4—941no—
1588C2×C4—941no—
1589C2×C4—941no—
1590C2×C4—941no—
1591C2×C4—941no—
1592C2×C4—941no—
1593C2×C4—941no—
1594C2×C4—941no—
1595C2×C4—941no—
1596C2×C4—941no—
1597C2×C4—941no—
1598C2×C4—941no—
1599C2×C4—941no—
1600C2×C4—941no—
1601C2×C4—941no—
1602C2×C4—941no—
1603C2×C4—941no—
1604C2×C4—941no—
1605C2×C4—941no—
1606C2×C4—941no—
1607C2×C4—941no—
1608C2×C4—941no—
1609C2×C4—941no—
1610C2×C4—941no—
1611C2×C4—941no—
1612C2×C4—941no—
1613C2×C4—941no—
1614C2×C4—941no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—3762no—
1619C2×C4—3762no—
1620C2×C4—3762no—
1621C2×C4—1884no—
1622C2×C4—1884no—
1623C2×C4—1884no—
1624C2×C4—1884no—
1625C2×C4—1884no—
1626C2×C4—1884no—
1627C2×C4—1884no—
1628C2×C4—1884no—
1629C2×C4—1884no—
1630C2×C4—1884no—
1631C2×C4—1884no—
1632C2×C4C2×D4×D4712yes—
1633C2×C4C2×#1062535212yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—22no—
1653C22—22no—
1654C22—22no—
1655C22—416no—
1656C22—416no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—1881no—
1670C22—1881no—
1671C22—1881no—
1672C22—1881no—
1673C22—1881no—
1674C22—1881no—
1675C22—1881no—
1676C22#1568962914yes—
1677C22#1568971714yescomplemented
1678C22C22×D4×D4711yescharacteristic
1679C22C22×#1062535211yescharacteristic
1680C22C22×#1062535211yescharacteristic
1681C22H(5,𝔽2)×D4711yescharacteristic
1682C22C2×#1309407011yescharacteristic
1683C22C2×#1309407111yescharacteristic
1684C22#1568995811yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—942no—
1696C4—942no—
1697C4—942no—
1698C4—942no—
1699C4—942no—
1700C4—1881no—
1701C4—1881no—
1702C4—1881no—
1703C4—1881no—
1704C4—1881no—
1705C4—1881no—
1706C4—1881no—
1707C4—1881no—
1708C4—1881no—
1709C4—1881no—
1710C2—24no—
1711C2—24no—
1712C2—42no—
1713C2—42no—
1714C2—42no—
1715C2—3761no—
1716C2C2×#1568962911yescharacteristic
1717C2C2×#1568971711yescharacteristic
1718C2#2025679411yescharacteristic
1719C2#2025701811yescharacteristic
1720C2#2025705911yescharacteristic
1721C2#2025732911yescharacteristic
1722C2#2025742411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2405C2
prime radical#20246762C2
hypercenter#2405D47
hypocenterC47#34991
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2405

Complements

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

NH ≅ G/Ntype
1. C2×#15689717C2semidirect
2. C22×D4×Dic47C2semidirect
3. #20251705C2semidirect
4. #20251694C2semidirect
5. #20251682C2semidirect
6. #20251673C2semidirect
7. #20249304C2semidirect
8. #20249284C2semidirect
9. #20249255C2semidirect
10. #20249226C2semidirect
11. #20247633C2semidirect
12. #20247528C2semidirect
13. #20247419C2semidirect
14. #20247380C2semidirect
15. #20247335C2semidirect
16. #20247266C2semidirect
17. #20247203C2semidirect
18. #20247195C2semidirect
19. #20247121C2semidirect
20. #20247054C2semidirect
21. #20246943C2semidirect
22. #20246861C2semidirect
23. #20246854C2semidirect
24. #20246784C2semidirect
26. #20246089C2semidirect
27. #20246060C2semidirect
28. #20246014C2semidirect
29. #20245887C2semidirect
30. C2×#15688998C2semidirect
31. C47×#2405C2semidirect
35. C2×#13094019C22semidirect
36. C2×#13094017C22semidirect
37. C2×#13094015C22semidirect
38. C2×#13094014C22semidirect
39. C2×#13094008C22semidirect
40. C2×#13094008C22semidirect
41. C2×#13094007C22semidirect
42. C2×#13094006C22semidirect
43. C2×#13094004C22semidirect
45. C2×#13094001C22semidirect
46. C2×#13094001C22semidirect
47. C2×#13094001C22semidirect
62. C2×(C22⋊D47)⋊C4C22semidirect
63. C2×(C22⋊D47)⋊C4C22semidirect
65. C22×C4⋊Dic47C22semidirect
66. C22×C4⋊Dic47C22semidirect
71. #15689062C22semidirect
72. #15689060C22semidirect
73. #15689059C22semidirect
74. #15689059C22semidirect
75. #15689056C22semidirect
76. #15689055C22semidirect
77. #15689055C22semidirect
78. #15689053C22semidirect
79. #15689051C22semidirect
80. #15689051C22semidirect
81. #15689051C22semidirect
82. #15689051C22semidirect
83. #15689051C22semidirect
84. #15689048C22semidirect
85. #15689046C22semidirect
86. #15689046C22semidirect
87. #15689046C22semidirect
88. #15689045C22semidirect
89. #15689044C22semidirect
90. #15689039C22semidirect
91. #15689038C22semidirect
92. #15689038C22semidirect
93. #15689038C22semidirect
96. #15689035C22semidirect
99. #15689022C22semidirect
100. #15689022C22semidirect
101. #15689020C22semidirect
102. #15689018C22semidirect
103. #15689017C22semidirect
104. #15689017C22semidirect
105. #15689016C22semidirect
106. #15689016C22semidirect
107. #15689015C22semidirect
108. #15689013C22semidirect
109. #15689012C22semidirect
110. #15689011C22semidirect
111. #15689010C22semidirect
112. #15689009C22semidirect
113. #15689009C22semidirect
114. #15689008C22semidirect
115. #15689008C22semidirect
116. #15689006C22semidirect
117. #15689006C22semidirect
118. #15689005C22semidirect
119. #15689004C22semidirect
120. #15689004C22semidirect
124. #15689002C22semidirect
128. #15689000C22semidirect
129. #15689000C22semidirect
130. #15689000C22semidirect
131. #15689000C22semidirect
132. #15688999C22semidirect
138. #15688998C22semidirect
139. #15688998C22semidirect
140. #15688998C22semidirect
141. #15688998C22semidirect
142. #15688998C22semidirect
143. #15688998C22semidirect
144. #15688998C22semidirect
145. #15688998C22semidirect
146. #15688998C22semidirect
147. #15688997C22semidirect
149. #15688996C22semidirect
152. #15688995C22semidirect
153. #15688995C22semidirect
154. #15688995C22semidirect
155. #15688995C22semidirect
156. #15688995C22semidirect
157. #15688990C22semidirect
158. #15688987C22semidirect
159. #15688986C22semidirect
160. #15688984C22semidirect
161. #15688984C22semidirect
165. #15688981C22semidirect
166. #15688981C22semidirect
167. #15688981C22semidirect
170. C22⋊C4×Dic47C22semidirect
171. C22⋊C4×Dic47C22semidirect
172. C2×C47⋊#95C22semidirect
173. C2×C47⋊#95C22semidirect
240. D4×Dic47D4semidirect
809. C22×C47#539semidirect
874. #2405D47semidirect
1050. C47#34991semidirect
1677. C22#15689717semidirect

Maximal subgroups

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

subgroupindex
C2×#156897172
C22×D4×Dic472
#202517052
#202516942
#202516822
#202516732
#202493042
#202492842
#202492552
#202492262
#202476332
#202475282
#202474192
#202473802
#202473352
#202472662
#202472032
#202471952
#202471212
#202470542
#202469432
#202468612
#202468542
#202467842
#202467622
#202460892
#202460602
#202460142
#202458872
C2×#156889982
C47×#24052
#3499147