Finite Group Databasebeta

← #26424582

Subgroups — #26424582

Order 12032.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20251680C211yesmaximal, characteristic, complemented
2#20251675C211yesmaximal, characteristic, complemented
3#20251061C211yesmaximal, characteristic, complemented
4#20250626C211yesmaximal, characteristic, complemented
5#20250576C211yesmaximal, characteristic, complemented
6#20250570C211yesmaximal, characteristic, complemented
7#20250525C211yesmaximal, characteristic, complemented
8#20250359C211yesmaximal, characteristic, complemented
9#20250106C211yesmaximal, characteristic, complemented
10#20250101C211yesmaximal, characteristic, complemented
11#20250079C211yesmaximal, characteristic, complemented
12#20249941C211yesmaximal, characteristic, complemented
13#20249918C211yesmaximal, characteristic, complemented
14#20249899C211yesmaximal, characteristic, complemented
15#20249894C211yesmaximal, characteristic, complemented
16#20249866C211yesmaximal, characteristic, complemented
17#20249813C211yesmaximal, characteristic, complemented
18#20249744C211yesmaximal, characteristic, complemented
19#20249358C211yesmaximal, characteristic, complemented
20#20249341C211yesmaximal, characteristic, complemented
21#20247889C211yesmaximal, characteristic, complemented
22#20247628C211yesmaximal, characteristic, complemented
23#20247212C211yesmaximal, characteristic, complemented
24#20247049C211yesmaximal, characteristic, complemented
25#20246850C211yesmaximal, characteristic, complemented
26#20246778C211yesmaximal, characteristic, complemented
27#20246762C211yesmaximal, characteristic
28#20246711C211yesmaximal, characteristic, complemented
29#20246046C211yesmaximal, characteristic, complemented
30#20246000C211yesmaximal, characteristic, complemented
31C2×C47×#386C211yesmaximal, characteristic, complemented
32C2×#13094017C2211yescharacteristic, complemented
33C2×#13094008C2211yescharacteristic, complemented
34C2×#13094007C2211yescharacteristic, complemented
35C2×#13094007C2211yescharacteristic, complemented
36C2×#13094006C2211yescharacteristic, complemented
37C2×#13094005C2211yescharacteristic
38C2×#13094005C2211yescharacteristic
39C2×#13094003C2211yescharacteristic
40C2×#13094003C2211yescharacteristic, complemented
41C2×#13094003C2211yescharacteristic, complemented
42C2×#13094001C2211yescharacteristic, complemented
43C2×#13093996C2211yescharacteristic
44C2×#13093996C2211yescharacteristic
45C2×#13093993C2211yescharacteristic
46C2×#13093993C2211yescharacteristic
47C2×C4×C22⋊D47C2211yescharacteristic
48C22×C22⋊Dic47C2211yescharacteristic
49C22×C22⋊Dic47C2211yescharacteristic
50C47⋊#401C2211yescharacteristic, complemented
51#15689065C2211yescharacteristic, complemented
52#15689065C2211yescharacteristic, complemented
53#15689065C2211yescharacteristic, complemented
54#15689065C2211yescharacteristic, complemented
55#15689064C2211yescharacteristic, complemented
56#15689064C2211yescharacteristic, complemented
57#15689064C2211yescharacteristic, complemented
58#15689064C2211yescharacteristic, complemented
59#15689064C2211yescharacteristic, complemented
60#15689064C2211yescharacteristic, complemented
61#15689063C2211yescharacteristic, complemented
62#15689059C2211yescharacteristic, complemented
63#15689059C2211yescharacteristic, complemented
64#15689057C2211yescharacteristic, complemented
65#15689057C2211yescharacteristic, complemented
66#15689057C2211yescharacteristic, complemented
67#15689057C2211yescharacteristic, complemented
68#15689057C2211yescharacteristic, complemented
69#15689057C2211yescharacteristic, complemented
70#15689052C2211yescharacteristic, complemented
71#15689052C2211yescharacteristic, complemented
72#15689052C2211yescharacteristic, complemented
73#15689051C2211yescharacteristic, complemented
74#15689051C2211yescharacteristic, complemented
75#15689051C2211yescharacteristic, complemented
76#15689048C2211yescharacteristic, complemented
77#15689048C2211yescharacteristic, complemented
78#15689048C2211yescharacteristic, complemented
79#15689047C2211yescharacteristic, complemented
80#15689047C2211yescharacteristic, complemented
81#15689046C2211yescharacteristic, complemented
82#15689046C2211yescharacteristic, complemented
83#15689046C2211yescharacteristic, complemented
84#15689039C2211yescharacteristic, complemented
85#15689039C2211yescharacteristic, complemented
86#15689039C2211yescharacteristic, complemented
87#15689038C2211yescharacteristic, complemented
88#15689037C2211yescharacteristic
89#15689037C2211yescharacteristic
90#15689037C2211yescharacteristic
91#15689037C2211yescharacteristic
92#15689037C2211yescharacteristic
93#15689037C2211yescharacteristic
94#15689036C2211yescharacteristic, complemented
95#15689035C2211yescharacteristic, complemented
96#15689031C2211yescharacteristic
97#15689031C2211yescharacteristic
98#15689027C2211yescharacteristic, complemented
99#15689023C2211yescharacteristic, complemented
100#15689023C2211yescharacteristic, complemented
101#15689020C2211yescharacteristic, complemented
102#15689017C2211yescharacteristic, complemented
103#15689017C2211yescharacteristic, complemented
104#15689017C2211yescharacteristic, complemented
105#15689017C2211yescharacteristic, complemented
106#15689016C2211yescharacteristic, complemented
107#15689016C2211yescharacteristic, complemented
108#15689011C2211yescharacteristic, complemented
109#15689011C2211yescharacteristic, complemented
110#15689011C2211yescharacteristic, complemented
111#15689008C2211yescharacteristic, complemented
112#15689005C2211yescharacteristic, complemented
113#15689005C2211yescharacteristic, complemented
114#15689003C2211yescharacteristic
115#15689003C2211yescharacteristic
116#15689003C2211yescharacteristic
117#15689003C2211yescharacteristic
118#15689002C2211yescharacteristic
119#15689002C2211yescharacteristic
120#15689002C2211yescharacteristic
121#15689002C2211yescharacteristic
122#15689002C2211yescharacteristic, complemented
123#15689002C2211yescharacteristic, complemented
124#15689000C2211yescharacteristic, complemented
125#15688999C2211yescharacteristic, complemented
126#15688999C2211yescharacteristic, complemented
127#15688999C2211yescharacteristic, complemented
128#15688998C2211yescharacteristic, complemented
129#15688998C2211yescharacteristic, complemented
130#15688997C2211yescharacteristic, complemented
131#15688996C2211yescharacteristic
132#15688996C2211yescharacteristic
133#15688996C2211yescharacteristic
134#15688996C2211yescharacteristic
135#15688996C2211yescharacteristic
136#15688996C2211yescharacteristic
137#15688996C2211yescharacteristic
138#15688996C2211yescharacteristic
139#15688996C2211yescharacteristic
140#15688996C2211yescharacteristic
141#15688996C2211yescharacteristic, complemented
142#15688996C2211yescharacteristic, complemented
143#15688996C2211yescharacteristic, complemented
144#15688996C2211yescharacteristic, complemented
145#15688996C2211yescharacteristic, complemented
146#15688996C2211yescharacteristic, complemented
147#15688995C2211yescharacteristic, complemented
148#15688995C2211yescharacteristic, complemented
149#15688995C2211yescharacteristic, complemented
150#15688995C2211yescharacteristic, complemented
151#15688995C2211yescharacteristic, complemented
152#15688987C2211yescharacteristic, complemented
153#15688986C2211yescharacteristic, complemented
154#15688986C2211yescharacteristic, complemented
155#15688984C2211yescharacteristic, complemented
156#15688983C2211yescharacteristic
157#15688983C2211yescharacteristic
158#15688983C2211yescharacteristic
159#15688983C2211yescharacteristic, complemented
160#15688983C2211yescharacteristic, complemented
161#15688982C2211yescharacteristic, complemented
162#15688981C2211yescharacteristic, complemented
163#15688981C2211yescharacteristic, complemented
164#15688981C2211yescharacteristic, complemented
165#15688981C2211yescharacteristic, complemented
166#15688981C2211yescharacteristic, complemented
167#15688979C2211yescharacteristic
168#15688979C2211yescharacteristic
169#15688979C2211yescharacteristic
170#15688979C2211yescharacteristic
171C4×C22⋊Dic47C2211yescharacteristic
172C23×D4×C47C2211yescharacteristic
173C24×C4×C47C2211yescharacteristic
174C22×C22⋊C4×C47C2211yescharacteristic
175C22×C22⋊C4×C47C2211yescharacteristic
176C22×C22⋊C4×C47C2211yescharacteristic
177C47×#386C2211yescharacteristic
178C47×#386C2211yescharacteristic
179C47×#386C2211yescharacteristic
180C47×#386C2211yescharacteristic
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#386C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C2×#95×C47C2211yescharacteristic
186C2×#95×C47C2211yescharacteristic
187C22×Dic94C2311yescharacteristic
188C22×C22⋊D47C2311yescharacteristic
189C22×C22⋊D47C2311yescharacteristic
190C22×C22⋊D47C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C23×Dic47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198#13094017—42no—
199#13094008—42no—
200#13094007—42no—
201#13094007—42no—
202#13094006—42no—
203#13094005—42no—
204#13094005—42no—
205#13094003—42no—
206#13094003—42no—
207#13094003—42no—
208#13094001—42no—
209#13093996—42no—
210#13093996—42no—
211#13093993—24no—
212#13093993—42no—
213C4×C22⋊D47—42no—
214C2×C4⋊Dic47C2311yescharacteristic
215C2×C4⋊Dic47C2311yescharacteristic
216C2×C4⋊Dic47C2311yescharacteristic
217C2×C4⋊Dic47C2311yescharacteristic
218C2×C4⋊Dic47C2311yescharacteristic
219C2×C4⋊Dic47C2311yescharacteristic
220C2×C4⋊Dic47C2311yescharacteristic
221C2×Dic47⋊C4C2311yescharacteristic
222C2×Dic47⋊C4C2311yescharacteristic
223C2×Dic47⋊C4C2311yescharacteristic
224C2×Dic47⋊C4C2311yescharacteristic
225C2×Dic47⋊C4C2311yescharacteristic
226C2×Dic47⋊C4C2311yescharacteristic
227C2×Dic47⋊C4C2311yescharacteristic
228C2×Dic47⋊C4C2311yescharacteristic
229C2×Dic47⋊C4C2311yescharacteristic
230C2×Dic47⋊C4C2311yescharacteristic
231C2×Dic47⋊C4C2311yescharacteristic
232C2×Dic47⋊C4C2311yescharacteristic
233C2×Dic47⋊C4C2311yescharacteristic
234C2×Dic47⋊C4C2311yescharacteristic
235C2×Dic47⋊C4C2311yescharacteristic
236C2×Dic47⋊C4C2311yescharacteristic
237C2×Dic47⋊C4C2311yescharacteristic
238C2×Dic47⋊C4C2311yescharacteristic
239C2×Dic47⋊C4C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×C22⋊Dic47—24no—
245C2×C22⋊Dic47—42no—
246C2×C22⋊Dic47C2311yescharacteristic
247C2×C22⋊Dic47C2311yescharacteristic
248C2×C22⋊Dic47C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×C22⋊Dic47C2311yescharacteristic
266C2×C22⋊Dic47C2311yescharacteristic
267C2×C22⋊Dic47C2311yescharacteristic
268C2×C22⋊Dic47C2311yescharacteristic
269C2×C22⋊Dic47C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C47⋊#95C2311yescharacteristic
290C47⋊#95C2311yescharacteristic
291C47⋊#95C2311yescharacteristic
292C47⋊#95C2311yescharacteristic
293C47⋊#95C2311yescharacteristic
294C47⋊#95C2311yescharacteristic
295C47⋊#95C2311yescharacteristic
296C47⋊#95C2311yescharacteristic
297C47⋊#95C2311yescharacteristic
298C47⋊#95C2311yescharacteristic
299C47⋊#95C2311yescharacteristic
300C47⋊#95C2311yescharacteristic
301C47⋊#95C2311yescharacteristic
302C47⋊#95C2311yescharacteristic
303C47⋊#95C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C25×C47C2311yescharacteristic
326C25×C47C2311yescharacteristic
327C22×D4×C47—24no—
328C22×D4×C47—42no—
329C22×D4×C47—42no—
330C22×D4×C47C2311yescharacteristic
331C22×D4×C47C2311yescharacteristic
332C22×D4×C47C2311yescharacteristic
333C22×D4×C47C2311yescharacteristic
334C23×C4×C47—42no—
335C23×C4×C47—42no—
336C23×C4×C47—42no—
337C23×C4×C47C2311yescharacteristic
338C23×C4×C47C2311yescharacteristic
339C23×C4×C47C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342C23×C4×C47C2311yescharacteristic
343C23×C4×C47C2311yescharacteristic
344C23×C4×C47C2311yescharacteristic
345C23×C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47—42no—
347C2×C22⋊C4×C47—42no—
348C2×C22⋊C4×C47—42no—
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×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×C47—22no—
370C24×C47—22no—
371C24×C47—22no—
372C24×C47—22no—
373C24×C47—22no—
374C24×C47—22no—
375C24×C47—22no—
376C24×C47—41no—
377C24×C47—41no—
378C24×C47—41no—
379C24×C47—41no—
380C24×C47—41no—
381C24×C47—41no—
382C24×C47#4114yes—
383C24×C47C2411yescharacteristic
384C24×C47C2411yescharacteristic
385C24×C47C2411yescharacteristic
386C24×C47C2411yescharacteristic
387C24×C47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C2×D4×C47—22no—
390C2×D4×C47—22no—
391C2×D4×C47—22no—
392C2×D4×C47—22no—
393C2×D4×C47—22no—
394C2×D4×C47—22no—
395C2×D4×C47—22no—
396C2×D4×C47—22no—
397C2×D4×C47—41no—
398C2×D4×C47—41no—
399C2×D4×C47—41no—
400C2×D4×C47—41no—
401C2×D4×C47—416no—
402C22×C4×C47—22no—
403C22×C4×C47—22no—
404C22×C4×C47—22no—
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—41no—
413C22×C4×C47—41no—
414C22×C4×C47—41no—
415C22×C4×C47—41no—
416C22×C4×C47—41no—
417C22×C4×C47—41no—
418C22×C4×C47—41no—
419C22×C4×C47—41no—
420C22×C4×C47—41no—
421C22×C4×C47—41no—
422C22×C4×C47—41no—
423C22×C4×C47—41no—
424C22×C4×C47—41no—
425C22×C4×C47—41no—
426C22×C4×C47—41no—
427C22×C4×C47—41no—
428C22×C4×C47—41no—
429C22×C4×C47—416no—
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
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—41no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47—41no—
453C2×C22⋊D47—41no—
454C2×C22⋊D47—41no—
455C22×Dic47—22no—
456C22×Dic47—22no—
457C22×Dic47—41no—
458C22×Dic47—41no—
459C22×Dic47—41no—
460C22×Dic47—41no—
461C22×Dic47—41no—
462C22×Dic47—41no—
463C22×Dic47—41no—
464C22×Dic47—41no—
465C22×Dic47—41no—
466C22×Dic47—41no—
467C22×Dic47C2411yescharacteristic
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
482C2×C4×D47—41no—
483C2×C4×D47—41no—
484C2×C4×D47—41no—
485C2×Dic94—22no—
486C2×Dic94—41no—
487C2×Dic94—41no—
488C22⋊C4×C47—22no—
489C22⋊C4×C47—22no—
490C22⋊C4×C47—22no—
491C22⋊C4×C47—22no—
492C22⋊C4×C47—41no—
493C22⋊C4×C47—41no—
494C22⋊C4×C47—41no—
495C22⋊C4×C47—41no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47—41no—
499C22⋊C4×C47—41no—
500C22⋊Dic47—22no—
501C22⋊Dic47—22no—
502C22⋊Dic47—22no—
503C22⋊Dic47—22no—
504C22⋊Dic47—22no—
505C22⋊Dic47—22no—
506C22⋊Dic47—22no—
507C22⋊Dic47—22no—
508C22⋊Dic47—22no—
509C22⋊Dic47—22no—
510C22⋊Dic47—22no—
511C22⋊Dic47—22no—
512C22⋊Dic47—22no—
513C22⋊Dic47—22no—
514C22⋊Dic47—22no—
515C22⋊Dic47—22no—
516C22⋊Dic47—22no—
517C22⋊Dic47—41no—
518C22⋊Dic47—41no—
519C22⋊Dic47—41no—
520C22⋊Dic47—41no—
521C22⋊Dic47—41no—
522C22⋊Dic47—41no—
523C22⋊Dic47—41no—
524C22⋊Dic47—41no—
525C22⋊Dic47—41no—
526C22⋊Dic47—41no—
527C22⋊Dic47—41no—
528C22⋊Dic47—41no—
529C22⋊Dic47—41no—
530C22⋊Dic47—41no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4—41no—
534(C2×D47)⋊C4—41no—
535(C2×D47)⋊C4—41no—
536(C2×D47)⋊C4—41no—
537(C2×D47)⋊C4—41no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540C4⋊Dic47—22no—
541C4⋊Dic47—41no—
542C4⋊Dic47—41no—
543C4⋊Dic47—41no—
544C4⋊Dic47—41no—
545C4⋊Dic47—41no—
546C4⋊Dic47—41no—
547Dic47⋊C4—22no—
548Dic47⋊C4—41no—
549Dic47⋊C4—41no—
550Dic47⋊C4—41no—
551Dic47⋊C4—41no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4—41no—
562Dic47⋊C4—41no—
563Dic47⋊C4—41no—
564Dic47⋊C4—41no—
565Dic47⋊C4—41no—
566Dic47⋊C4—41no—
567Dic47⋊C4—41no—
568Dic47⋊C4—41no—
569Dic47⋊C4—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—28no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47—21no—
592C23×C47—21no—
593C23×C47—21no—
594C23×C47—21no—
595C23×C47—21no—
596C23×C47—21no—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—28no—
603C23×C47—44no—
604C23×C47—44no—
605C23×C47—44no—
606C23×C47—44no—
607C23×C47—44no—
608C23×C47—44no—
609C23×C47—44no—
610C23×C47—44no—
611C23×C47—82no—
612C23×C47—82no—
613C23×C47—82no—
614C23×C47—82no—
615C23×C47C2×#4112yes—
616C23×C47C2×#4112yes—
617C23×C47C2×#4112yes—
618C23×C47H(5,𝔽2)12yes—
619C23×C47H(5,𝔽2)12yes—
620C23×C47H(5,𝔽2)12yes—
621C23×C472−1+412yes—
622C23×C47C2511yescharacteristic
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630D4×C47—44no—
631D4×C47—44no—
632D4×C47—44no—
633D4×C47—44no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—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—44no—
664C2×C4×C47—44no—
665C2×C4×C47—44no—
666C2×C4×C47—44no—
667C2×C4×C47—44no—
668C2×C4×C47—44no—
669C2×C4×C47—44no—
670C2×C4×C47—82no—
671C2×C4×C47—82no—
672C2×C4×C47H(5,𝔽2)12yes—
673C22⋊D47—44no—
674C22⋊D47—82no—
675C22⋊D47—82no—
676C22⋊D47—82no—
677C22⋊D47—82no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
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—21no—
723C2×Dic47—82no—
724C2×Dic47—82no—
725C2×Dic47—82no—
726C2×Dic47—82no—
727C4×D47—82no—
728Dic94—82no—
729#36775—471nomaximal, Sylow
730C22×C47—22no—
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
734C22×C47—22no—
735C22×C47—22no—
736C22×C47—22no—
737C22×C47—22no—
738C22×C47—22no—
739C22×C47—22no—
740C22×C47—22no—
741C22×C47—22no—
742C22×C47—22no—
743C22×C47—22no—
744C22×C47—22no—
745C22×C47—22no—
746C22×C47—22no—
747C22×C47—22no—
748C22×C47—416no—
749C22×C47—41no—
750C22×C47—41no—
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—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—88no—
766C22×C47#53914yes—
767C22×C47C22×#4111yescharacteristic
768C22×C47C2×H(5,𝔽2)11yescharacteristic
769C22×C47C2×H(5,𝔽2)11yescharacteristic
770C22×C47C2×H(5,𝔽2)11yescharacteristic
771C22×C47C2×H(5,𝔽2)11yescharacteristic
772C22×C47C2×2−1+411yescharacteristic
773C22×C47#58511yescharacteristic
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—41no—
780C2×D47—41no—
781C4×C47—22no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788C4×C47—41no—
789C4×C47—41no—
790C4×C47—41no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800Dic47—41no—
801Dic47—41no—
802Dic47—41no—
803Dic47—41no—
804Dic47—41no—
805Dic47—41no—
806#2849—471no—
807#2848—471no—
808#2782—471no—
809#2750—471no—
810#2746—471no—
811#2746—471no—
812#2743—471no—
813#2728—471no—
814#2708—471no—
815#2708—471no—
816#2706—471no—
817#2696—471no—
818#2695—471no—
819#2693—471no—
820#2693—471no—
821#2691—471no—
822#2687—471no—
823#2681—471no—
824#2646—471no—
825#2643—471no—
826#2505—471no—
827#2480—471no—
828#2450—471no—
829#2437—471no—
830#2418—471no—
831#2412—471no—
832#2410—471no—
833#2405—471no—
834#2321—471no—
835#2315—471no—
836C2×#386D4711yescharacteristic, complemented
837C2×C47—24no—
838C2×C47—42no—
839C2×C47—42no—
840C2×C47—42no—
841C2×C47—42no—
842C2×C47C2×#53911yescharacteristic
843C2×C47#349011yescharacteristic
844C2×C47#350511yescharacteristic
845C2×C47#353211yescharacteristic
846C2×C47#353411yescharacteristic
847C2×C47#353511yescharacteristic
848C2×C47#353611yescharacteristic
849D47—81no—
850C23×D4C2×D4711yescharacteristic
851C24×C4C2×D4711yescharacteristic
852C2×#126—471no—
853C2×#123—471no—
854C2×#123—471no—
855C2×#123—471no—
856C2×#123—471no—
857C2×#123—471no—
858C2×#123—471no—
859C2×C22⋊Q8—471no—
860C2×C22⋊Q8—471no—
861C2×C22⋊Q8—471no—
862C2×C22⋊Q8—471no—
863C2×#121—471no—
864C2×#121—471no—
865C2×#120—471no—
866C2×#120—471no—
867C2×C4×D4—471no—
868C22×C22⋊C4—471no—
869C22×C22⋊C4—471no—
870C22×C22⋊C4C2×D4711yescharacteristic
871C22×C22⋊C4C2×D4711yescharacteristic
872C22×C22⋊C4C2×D4711yescharacteristic
873#401—471no—
874#400—471no—
875#400—471no—
876#400—471no—
877#400—471no—
878#400—471no—
879#400—471no—
880#400—471no—
881#400—471no—
882#400—471no—
883#400—471no—
884#400—471no—
885#399—471no—
886#399—471no—
887#398—471no—
888#398—471no—
889#398—471no—
890#398—471no—
891#398—471no—
892#398—471no—
893#397—471no—
894#397—471no—
895#397—471no—
896#397—471no—
897#397—471no—
898#397—471no—
899#397—471no—
900#397—471no—
901#397—471no—
902#396—471no—
903#396—471no—
904#396—471no—
905#396—471no—
906#396—471no—
907#394—471no—
908#394—471no—
909#394—471no—
910#394—471no—
911#394—471no—
912#394—471no—
913#394—471no—
914#394—471no—
915#394—471no—
916#394—471no—
917#393—471no—
918#393—471no—
919#392—471no—
920#392—471no—
921#391—471no—
922#390—471no—
923#390—471no—
924#389—471no—
925#388—471no—
926#388—471no—
927#388—471no—
928#388—471no—
929#388—471no—
930#388—471no—
931#388—471no—
932#388—471no—
933#388—471no—
934#387—471no—
935#387—471no—
936#387—471no—
937#386—471no—
938#386—471no—
939#386—471no—
940#386—471no—
941#386—471no—
942#386—471no—
943#386—471no—
944#386—471no—
945#386—471no—
946#386—471no—
947#386—471no—
948#386—471no—
949#386—471no—
950#386—471no—
951#386C2×D4711yescharacteristic
952#386C2×D4711yescharacteristic
953#386C2×D4711yescharacteristic
954#386C2×D4711yescharacteristic
955#386C2×D4711yescharacteristic
956#386C2×D4711yescharacteristic
957#386C2×D4711yescharacteristic
958#386C2×D4711yescharacteristic
959#385—471no—
960#385—471no—
961#385—471no—
962#385—471no—
963#385—471no—
964#385—471no—
965#385—471no—
966#385—471no—
967#385—471no—
968#385—471no—
969#385—471no—
970#385—471no—
971#385—471no—
972#385—471no—
973#385—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385—471no—
981#385—471no—
982#385—471no—
983#382—471no—
984#381—471no—
985#381—471no—
986#381—471no—
987#380—471no—
988#380—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#380—471no—
993#380—471no—
994#380—471no—
995#380—471no—
996#380—471no—
997#380—471no—
998#379—471no—
999#379—471no—
1000#379—471no—
1001#379—471no—
1002C4×C22⋊C4—471no—
1003C2×#95C2×D4711yescharacteristic
1004C2×#95C2×D4711yescharacteristic
1005C47#3677511yescharacteristic, complemented, Sylow
1006C25C22×D4711yescharacteristic
1007C25C22×D4711yescharacteristic
1008C22×Q8—471no—
1009C22×D4—24no—
1010C22×D4—42no—
1011C22×D4—42no—
1012C22×D4—471no—
1013C22×D4—471no—
1014C22×D4—471no—
1015C22×D4—471no—
1016C22×D4—471no—
1017C22×D4C22×D4711yescharacteristic
1018C22×D4C22×D4711yescharacteristic
1019C22×D4C22×D4711yescharacteristic
1020C22×D4C22×D4711yescharacteristic
1021C23×C4—42no—
1022C23×C4—42no—
1023C23×C4—42no—
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—471no—
1028C23×C4—471no—
1029C23×C4C22×D4711yescharacteristic
1030C23×C4C22×D4711yescharacteristic
1031C23×C4C22×D4711yescharacteristic
1032C23×C4C22×D4711yescharacteristic
1033C23×C4C22×D4711yescharacteristic
1034C23×C4C22×D4711yescharacteristic
1035C23×C4C22×D4711yescharacteristic
1036C23×C4C22×D4711yescharacteristic
1037C23×C4C22×D4711yescharacteristic
1038#126—1882no—
1039#123—1882no—
1040#123—1882no—
1041#123—1882no—
1042#123—1882no—
1043#123—1882no—
1044#123—1882no—
1045C22⋊Q8—1882no—
1046C22⋊Q8—1882no—
1047C22⋊Q8—1882no—
1048C22⋊Q8—1882no—
1049#121—1882no—
1050#121—1882no—
1051#120—944no—
1052#120—1882no—
1053C4×D4—1882no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4—471no—
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×C22⋊C4—42no—
1085C2×C22⋊C4—42no—
1086C2×C22⋊C4—42no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
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—944no—
1128C2×C22⋊C4—1882no—
1129C2×C22⋊C4C22×D4711yescharacteristic
1130C2×C22⋊C4C22×D4711yescharacteristic
1131C2×C22⋊C4C22×D4711yescharacteristic
1132C2×C22⋊C4C22×D4711yescharacteristic
1133C2×C22⋊C4C22×D4711yescharacteristic
1134C2×C22⋊C4C22×D4711yescharacteristic
1135C2×C22⋊C4C22×D4711yescharacteristic
1136C2×C22⋊C4C22×D4711yescharacteristic
1137C2×C22⋊C4C22×D4711yescharacteristic
1138C2×C22⋊C4C22×D4711yescharacteristic
1139C2×C22⋊C4C22×D4711yescharacteristic
1140C2×C22⋊C4C22×D4711yescharacteristic
1141C2×C42—471no—
1142C2×C42—471no—
1143C2×C42—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95C22×D4711yescharacteristic
1181#95C22×D4711yescharacteristic
1182#95C22×D4711yescharacteristic
1183#95C22×D4711yescharacteristic
1184#95C22×D4711yescharacteristic
1185#95C22×D4711yescharacteristic
1186#95C22×D4711yescharacteristic
1187#95C22×D4711yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—41no—
1196C24—41no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24—41no—
1201C24—471no—
1202C24#1062535014yes—
1203C24C23×D4711yescharacteristic
1204C24C23×D4711yescharacteristic
1205C24C23×D4711yescharacteristic
1206C24C23×D4711yescharacteristic
1207C24C23×D4711yescharacteristic
1208C2×Q8—942no—
1209C2×Q8—1881no—
1210C2×Q8—1881no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—22no—
1218C2×D4—22no—
1219C2×D4—41no—
1220C2×D4—41no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—416no—
1224C2×D4—942no—
1225C2×D4—942no—
1226C2×D4—942no—
1227C2×D4—942no—
1228C2×D4—942no—
1229C2×D4—942no—
1230C2×D4—942no—
1231C2×D4—1881no—
1232C2×D4—1881no—
1233C2×D4—1881no—
1234C2×D4—1881no—
1235C2×D4—1881no—
1236C2×D4—1881no—
1237C2×D4—1881no—
1238C2×D4—1881no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—41no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—41no—
1254C22×C4—41no—
1255C22×C4—41no—
1256C22×C4—41no—
1257C22×C4—41no—
1258C22×C4—41no—
1259C22×C4—41no—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—416no—
1267C22×C4—471no—
1268C22×C4—471no—
1269C22×C4—471no—
1270C22×C4—471no—
1271C22×C4—471no—
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—942no—
1283C22×C4—942no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4—1881no—
1290C22×C4—1881no—
1291C22×C4—1881no—
1292C22×C4—1881no—
1293C22×C4—1881no—
1294C22×C4—1881no—
1295C22×C4—1881no—
1296C22×C4—1881no—
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C22×C4C23×D4711yescharacteristic
1300C22×C4C23×D4711yescharacteristic
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C22×C4C23×D4711yescharacteristic
1304C22×C4C23×D4711yescharacteristic
1305C22×C4C23×D4711yescharacteristic
1306C22×C4C23×D4711yescharacteristic
1307C4⋊C4—942no—
1308C4⋊C4—942no—
1309C4⋊C4—1881no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
1314C4⋊C4—1881no—
1315C4⋊C4—1881no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4—1881no—
1319C4⋊C4—1881no—
1320C4⋊C4—1881no—
1321C4⋊C4—1881no—
1322C4⋊C4—1881no—
1323C4⋊C4—1881no—
1324C4⋊C4—1881no—
1325C4⋊C4—1881no—
1326C4⋊C4—1881no—
1327C4⋊C4—1881no—
1328C4⋊C4—1881no—
1329C4⋊C4—1881no—
1330C4⋊C4—1881no—
1331C4⋊C4—1881no—
1332C4⋊C4—1881no—
1333C4⋊C4—1881no—
1334C4⋊C4—1881no—
1335C4⋊C4—1881no—
1336C4⋊C4—1881no—
1337C22⋊C4—22no—
1338C22⋊C4—22no—
1339C22⋊C4—22no—
1340C22⋊C4—22no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—41no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—41no—
1349C22⋊C4—942no—
1350C22⋊C4—942no—
1351C22⋊C4—942no—
1352C22⋊C4—942no—
1353C22⋊C4—942no—
1354C22⋊C4—942no—
1355C22⋊C4—942no—
1356C22⋊C4—942no—
1357C22⋊C4—942no—
1358C22⋊C4—942no—
1359C22⋊C4—942no—
1360C22⋊C4—942no—
1361C22⋊C4—942no—
1362C22⋊C4—942no—
1363C22⋊C4—942no—
1364C22⋊C4—942no—
1365C22⋊C4—942no—
1366C22⋊C4—942no—
1367C22⋊C4—1881no—
1368C22⋊C4—1881no—
1369C22⋊C4—1881no—
1370C22⋊C4—1881no—
1371C22⋊C4—1881no—
1372C22⋊C4—1881no—
1373C22⋊C4—1881no—
1374C22⋊C4—1881no—
1375C22⋊C4—1881no—
1376C22⋊C4—1881no—
1377C22⋊C4—1881no—
1378C22⋊C4—1881no—
1379C22⋊C4—1881no—
1380C22⋊C4—1881no—
1381C22⋊C4—1881no—
1382C22⋊C4—1881no—
1383C22⋊C4—1881no—
1384C22⋊C4—1881no—
1385C22⋊C4—1881no—
1386C22⋊C4—1881no—
1387C22⋊C4—1881no—
1388C22⋊C4—1881no—
1389C42—1881no—
1390C42—1881no—
1391C42—1881no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—28no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—28no—
1422C23—44no—
1423C23—44no—
1424C23—44no—
1425C23—44no—
1426C23—44no—
1427C23—44no—
1428C23—44no—
1429C23—44no—
1430C23—82no—
1431C23—82no—
1432C23—82no—
1433C23—82no—
1434C23—941no—
1435C23—941no—
1436C23—941no—
1437C23—941no—
1438C23—941no—
1439C23—941no—
1440C23—941no—
1441C23C2×#1062535012yes—
1442C23C2×#1062535012yes—
1443C23C2×#1062535012yes—
1444C23#1309406912yes—
1445C23#1309406912yes—
1446C23#1309406912yes—
1447C23#1309407112yes—
1448C23C24×D4711yescharacteristic
1449Q8—3762no—
1450D4—44no—
1451D4—44no—
1452D4—44no—
1453D4—44no—
1454D4—3762no—
1455D4—3762no—
1456D4—3762no—
1457D4—3762no—
1458D4—1884no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
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—21no—
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—44no—
1489C2×C4—44no—
1490C2×C4—44no—
1491C2×C4—44no—
1492C2×C4—44no—
1493C2×C4—44no—
1494C2×C4—44no—
1495C2×C4—82no—
1496C2×C4—82no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
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—3762no—
1543C2×C4—3762no—
1544C2×C4—3762no—
1545C2×C4—3762no—
1546C2×C4—3762no—
1547C2×C4#1309406912yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—22no—
1555C22—22no—
1556C22—22no—
1557C22—22no—
1558C22—22no—
1559C22—22no—
1560C22—22no—
1561C22—22no—
1562C22—22no—
1563C22—22no—
1564C22—22no—
1565C22—22no—
1566C22—416no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—88no—
1584C22—1881no—
1585C22—1881no—
1586C22—1881no—
1587C22—1881no—
1588C22—1881no—
1589C22—1881no—
1590C22—1881no—
1591C22#1568971514yes—
1592C22C22×#1062535011yescharacteristic
1593C22C2×#1309406911yescharacteristic
1594C22C2×#1309406911yescharacteristic
1595C22C2×#1309406911yescharacteristic
1596C22C2×#1309406911yescharacteristic
1597C22C2×#1309407111yescharacteristic
1598C22#1568995911yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—1881no—
1610C4—1881no—
1611C4—1881no—
1612C4—1881no—
1613C4—1881no—
1614C4—1881no—
1615C4—1881no—
1616C4—1881no—
1617C4—1881no—
1618C4—1881no—
1619C4—1881no—
1620C4—1881no—
1621C4—1881no—
1622C4—1881no—
1623C4—1881no—
1624C2—24no—
1625C2—42no—
1626C2—42no—
1627C2—42no—
1628C2—42no—
1629C2—3761no—
1630C2C2×#1568971511yescharacteristic
1631C2#2025707711yescharacteristic
1632C2#2025722711yescharacteristic
1633C2#2025754311yescharacteristic
1634C2#2025757811yescharacteristic
1635C2#2025760111yescharacteristic
1636C2#2025761011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC2×C47×#386C2
prime radical#20246762C2
hypercenterC2×#386D47
hypocenterC47#36775
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#386

Complements

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

NH ≅ G/Ntype
1. #20251680C2semidirect
2. #20251675C2semidirect
3. #20251061C2semidirect
4. #20250626C2semidirect
5. #20250576C2semidirect
6. #20250570C2semidirect
7. #20250525C2semidirect
8. #20250359C2semidirect
9. #20250106C2semidirect
10. #20250101C2semidirect
11. #20250079C2semidirect
12. #20249941C2semidirect
13. #20249918C2semidirect
14. #20249899C2semidirect
15. #20249894C2semidirect
16. #20249866C2semidirect
17. #20249813C2semidirect
18. #20249744C2semidirect
19. #20249358C2semidirect
20. #20249341C2semidirect
21. #20247889C2semidirect
22. #20247628C2semidirect
23. #20247212C2semidirect
24. #20247049C2semidirect
25. #20246850C2semidirect
26. #20246778C2semidirect
28. #20246711C2semidirect
29. #20246046C2semidirect
30. #20246000C2semidirect
31. C2×C47×#386C2semidirect
32. C2×#13094017C22semidirect
33. C2×#13094008C22semidirect
34. C2×#13094007C22semidirect
35. C2×#13094007C22semidirect
36. C2×#13094006C22semidirect
40. C2×#13094003C22semidirect
41. C2×#13094003C22semidirect
42. C2×#13094001C22semidirect
50. C47⋊#401C22semidirect
51. #15689065C22semidirect
52. #15689065C22semidirect
53. #15689065C22semidirect
54. #15689065C22semidirect
55. #15689064C22semidirect
56. #15689064C22semidirect
57. #15689064C22semidirect
58. #15689064C22semidirect
59. #15689064C22semidirect
60. #15689064C22semidirect
61. #15689063C22semidirect
62. #15689059C22semidirect
63. #15689059C22semidirect
64. #15689057C22semidirect
65. #15689057C22semidirect
66. #15689057C22semidirect
67. #15689057C22semidirect
68. #15689057C22semidirect
69. #15689057C22semidirect
70. #15689052C22semidirect
71. #15689052C22semidirect
72. #15689052C22semidirect
73. #15689051C22semidirect
74. #15689051C22semidirect
75. #15689051C22semidirect
76. #15689048C22semidirect
77. #15689048C22semidirect
78. #15689048C22semidirect
79. #15689047C22semidirect
80. #15689047C22semidirect
81. #15689046C22semidirect
82. #15689046C22semidirect
83. #15689046C22semidirect
84. #15689039C22semidirect
85. #15689039C22semidirect
86. #15689039C22semidirect
87. #15689038C22semidirect
94. #15689036C22semidirect
95. #15689035C22semidirect
98. #15689027C22semidirect
99. #15689023C22semidirect
100. #15689023C22semidirect
101. #15689020C22semidirect
102. #15689017C22semidirect
103. #15689017C22semidirect
104. #15689017C22semidirect
105. #15689017C22semidirect
106. #15689016C22semidirect
107. #15689016C22semidirect
108. #15689011C22semidirect
109. #15689011C22semidirect
110. #15689011C22semidirect
111. #15689008C22semidirect
112. #15689005C22semidirect
113. #15689005C22semidirect
122. #15689002C22semidirect
123. #15689002C22semidirect
124. #15689000C22semidirect
125. #15688999C22semidirect
126. #15688999C22semidirect
127. #15688999C22semidirect
128. #15688998C22semidirect
129. #15688998C22semidirect
130. #15688997C22semidirect
141. #15688996C22semidirect
142. #15688996C22semidirect
143. #15688996C22semidirect
144. #15688996C22semidirect
145. #15688996C22semidirect
146. #15688996C22semidirect
147. #15688995C22semidirect
148. #15688995C22semidirect
149. #15688995C22semidirect
150. #15688995C22semidirect
151. #15688995C22semidirect
152. #15688987C22semidirect
153. #15688986C22semidirect
154. #15688986C22semidirect
155. #15688984C22semidirect
159. #15688983C22semidirect
160. #15688983C22semidirect
161. #15688982C22semidirect
162. #15688981C22semidirect
163. #15688981C22semidirect
164. #15688981C22semidirect
165. #15688981C22semidirect
166. #15688981C22semidirect
836. C2×#386D47semidirect
1005. C47#36775semidirect

Maximal subgroups

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

subgroupindex
#202516802
#202516752
#202510612
#202506262
#202505762
#202505702
#202505252
#202503592
#202501062
#202501012
#202500792
#202499412
#202499182
#202498992
#202498942
#202498662
#202498132
#202497442
#202493582
#202493412
#202478892
#202476282
#202472122
#202470492
#202468502
#202467782
#202467622
#202467112
#202460462
#202460002
C2×C47×#3862
#3677547