Finite Group Databasebeta

← #26424591

Subgroups — #26424591

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#20251681C211yesmaximal, characteristic, complemented
2#20251676C211yesmaximal, characteristic, complemented
3#20251065C211yesmaximal, characteristic, complemented
4#20250620C211yesmaximal, characteristic, complemented
5#20250565C211yesmaximal, characteristic, complemented
6#20250534C211yesmaximal, characteristic, complemented
7#20250360C211yesmaximal, characteristic, complemented
8#20250108C211yesmaximal, characteristic, complemented
9#20250107C211yesmaximal, characteristic, complemented
10#20250074C211yesmaximal, characteristic, complemented
11#20249936C211yesmaximal, characteristic, complemented
12#20249925C211yesmaximal, characteristic, complemented
13#20249898C211yesmaximal, characteristic, complemented
14#20249897C211yesmaximal, characteristic, complemented
15#20249873C211yesmaximal, characteristic, complemented
16#20249809C211yesmaximal, characteristic, complemented
17#20249744C211yesmaximal, characteristic, complemented
18#20249359C211yesmaximal, characteristic, complemented
19#20249346C211yesmaximal, characteristic, complemented
20#20247886C211yesmaximal, characteristic, complemented
21#20247640C211yesmaximal, characteristic, complemented
22#20247213C211yesmaximal, characteristic, complemented
23#20247052C211yesmaximal, characteristic, complemented
24#20246853C211yesmaximal, characteristic, complemented
25#20246777C211yesmaximal, characteristic, complemented
26#20246761C211yesmaximal, characteristic
27#20246710C211yesmaximal, characteristic, complemented
28#20246041C211yesmaximal, characteristic, complemented
29#20245999C211yesmaximal, characteristic, complemented
30#386×D47C211yesmaximal, characteristic, complemented
31C47×#2746C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C2×#13094019C2211yescharacteristic, complemented
35C2×#13094009C2211yescharacteristic
36C2×#13094009C2211yescharacteristic, complemented
37C2×#13094009C2211yescharacteristic, complemented
38C2×#13094008C2211yescharacteristic, complemented
39C2×#13094007C2211yescharacteristic, complemented
40C2×#13094006C2211yescharacteristic
41C2×#13094004C2211yescharacteristic
42C2×#13094004C2211yescharacteristic, complemented
43C2×#13094003C2211yescharacteristic, complemented
44C2×#13094001C2211yescharacteristic, complemented
45C2×#13093998C2211yescharacteristic
46C2×#13093996C2211yescharacteristic
47C2×#13093994C2211yescharacteristic
48C2×#13093994C2211yescharacteristic
49C2×#13093986C2211yescharacteristic
50C22×(C2×D47)⋊C4C2211yescharacteristic
51C2×C22⋊C4×D47C2211yescharacteristic
52C2×C22⋊C4×D47C2211yescharacteristic
53C2×C22⋊C4×D47C2211yescharacteristic
54C2×C22⋊C4×D47C2211yescharacteristic
55#15689065C2211yescharacteristic, complemented
56#15689065C2211yescharacteristic, complemented
57#15689065C2211yescharacteristic, complemented
58#15689065C2211yescharacteristic, complemented
59#15689064C2211yescharacteristic, complemented
60#15689064C2211yescharacteristic, complemented
61#15689063C2211yescharacteristic, complemented
62#15689062C2211yescharacteristic, complemented
63#15689062C2211yescharacteristic, complemented
64#15689061C2211yescharacteristic, complemented
65#15689060C2211yescharacteristic, complemented
66#15689057C2211yescharacteristic, complemented
67#15689057C2211yescharacteristic, complemented
68#15689056C2211yescharacteristic, complemented
69#15689055C2211yescharacteristic, complemented
70#15689055C2211yescharacteristic, complemented
71#15689052C2211yescharacteristic, complemented
72#15689052C2211yescharacteristic, complemented
73#15689051C2211yescharacteristic, complemented
74#15689051C2211yescharacteristic, complemented
75#15689050C2211yescharacteristic, complemented
76#15689050C2211yescharacteristic, complemented
77#15689050C2211yescharacteristic, complemented
78#15689049C2211yescharacteristic, complemented
79#15689047C2211yescharacteristic, complemented
80#15689046C2211yescharacteristic, complemented
81#15689045C2211yescharacteristic, complemented
82#15689045C2211yescharacteristic, complemented
83#15689045C2211yescharacteristic, complemented
84#15689041C2211yescharacteristic
85#15689040C2211yescharacteristic, complemented
86#15689039C2211yescharacteristic
87#15689039C2211yescharacteristic
88#15689039C2211yescharacteristic, complemented
89#15689039C2211yescharacteristic, complemented
90#15689038C2211yescharacteristic
91#15689038C2211yescharacteristic, complemented
92#15689037C2211yescharacteristic
93#15689036C2211yescharacteristic, complemented
94#15689036C2211yescharacteristic, complemented
95#15689033C2211yescharacteristic
96#15689032C2211yescharacteristic
97#15689027C2211yescharacteristic, complemented
98#15689025C2211yescharacteristic, complemented
99#15689023C2211yescharacteristic, complemented
100#15689020C2211yescharacteristic, complemented
101#15689016C2211yescharacteristic, complemented
102#15689015C2211yescharacteristic, complemented
103#15689014C2211yescharacteristic, complemented
104#15689013C2211yescharacteristic, complemented
105#15689012C2211yescharacteristic, complemented
106#15689011C2211yescharacteristic, complemented
107#15689011C2211yescharacteristic, complemented
108#15689010C2211yescharacteristic, complemented
109#15689009C2211yescharacteristic, complemented
110#15689003C2211yescharacteristic
111#15689002C2211yescharacteristic
112#15689001C2211yescharacteristic
113#15689001C2211yescharacteristic
114#15689001C2211yescharacteristic
115#15689001C2211yescharacteristic
116#15689001C2211yescharacteristic
117#15689001C2211yescharacteristic
118#15689001C2211yescharacteristic
119#15689001C2211yescharacteristic, complemented
120#15689001C2211yescharacteristic, complemented
121#15689001C2211yescharacteristic, complemented
122#15689001C2211yescharacteristic, complemented
123#15689000C2211yescharacteristic
124#15689000C2211yescharacteristic
125#15688999C2211yescharacteristic
126#15688999C2211yescharacteristic
127#15688999C2211yescharacteristic
128#15688999C2211yescharacteristic, complemented
129#15688999C2211yescharacteristic, complemented
130#15688998C2211yescharacteristic, complemented
131#15688998C2211yescharacteristic, complemented
132#15688998C2211yescharacteristic, complemented
133#15688998C2211yescharacteristic, complemented
134#15688997C2211yescharacteristic
135#15688997C2211yescharacteristic
136#15688997C2211yescharacteristic
137#15688997C2211yescharacteristic
138#15688997C2211yescharacteristic
139#15688997C2211yescharacteristic
140#15688997C2211yescharacteristic
141#15688997C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic, complemented
143#15688997C2211yescharacteristic, complemented
144#15688997C2211yescharacteristic, complemented
145#15688997C2211yescharacteristic, complemented
146#15688996C2211yescharacteristic, complemented
147#15688995C2211yescharacteristic, complemented
148#15688994C2211yescharacteristic
149#15688994C2211yescharacteristic
150#15688994C2211yescharacteristic
151#15688994C2211yescharacteristic, complemented
152#15688989C2211yescharacteristic, complemented
153#15688985C2211yescharacteristic, complemented
154#15688984C2211yescharacteristic, complemented
155#15688983C2211yescharacteristic, complemented
156#15688982C2211yescharacteristic
157#15688982C2211yescharacteristic, complemented
158#15688982C2211yescharacteristic, complemented
159#15688980C2211yescharacteristic
160#15688980C2211yescharacteristic
161#15688980C2211yescharacteristic, complemented
162#15688980C2211yescharacteristic, complemented
163#15688980C2211yescharacteristic, complemented
164#15688980C2211yescharacteristic, complemented
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169C4×(C2×D47)⋊C4C2211yescharacteristic
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172C47×#401C2211yescharacteristic, complemented
173C47×#400C2211yescharacteristic, complemented
174C47×#399C2211yescharacteristic, complemented
175C47×#398C2211yescharacteristic, complemented
176C47×#397C2211yescharacteristic, complemented
177C47×#394C2211yescharacteristic
178C47×#388C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic
182C47×#386C2211yescharacteristic
183C47×#385C2211yescharacteristic, complemented
184C47×#385C2211yescharacteristic, complemented
185C47×#381C2211yescharacteristic, complemented
186C47×#380C2211yescharacteristic, complemented
187C24×D47C2311yescharacteristic
188C24×D47C2311yescharacteristic
189C22×Dic94C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C2×D4×D47—24no—
199C2×D4×D47—42no—
200C2×D4×D47—42no—
201C23×Dic47C2311yescharacteristic
202C23×Dic47C2311yescharacteristic
203C22×C4×D47—42no—
204C22×C4×D47—42no—
205C22×C4×D47—42no—
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216#13094019—42no—
217#13094009—42no—
218#13094009—42no—
219#13094009—42no—
220#13094008—42no—
221#13094007—42no—
222#13094006—42no—
223#13094004—42no—
224#13094004—42no—
225#13094003—42no—
226#13094001—42no—
227#13093998—42no—
228#13093996—42no—
229#13093994—24no—
230#13093994—42no—
231#13093986—42no—
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×C4⋊Dic47C2311yescharacteristic
241C2×C4⋊Dic47C2311yescharacteristic
242C2×C4⋊Dic47C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
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×(C2×D47)⋊C4—42no—
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C22⋊C4×D47—24no—
299C22⋊C4×D47—42no—
300C22⋊C4×D47—42no—
301C22⋊C4×D47—42no—
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C47⋊#95C2311yescharacteristic
305C47⋊#95C2311yescharacteristic
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C22×D4×C47C2311yescharacteristic
335C23×C4×C47C2311yescharacteristic
336C23×C4×C47C2311yescharacteristic
337C2×C4⋊C4×C47C2311yescharacteristic
338C2×C4⋊C4×C47C2311yescharacteristic
339C2×C4⋊C4×C47C2311yescharacteristic
340C2×C4⋊C4×C47C2311yescharacteristic
341C2×C4⋊C4×C47C2311yescharacteristic
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C22⋊C4×C47C2311yescharacteristic
345C2×C22⋊C4×C47C2311yescharacteristic
346C2×C22⋊C4×C47C2311yescharacteristic
347C2×C22⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C42×C47C2311yescharacteristic
355#95×C47C2311yescharacteristic
356#95×C47C2311yescharacteristic
357#95×C47C2311yescharacteristic
358#95×C47C2311yescharacteristic
359#95×C47C2311yescharacteristic
360#95×C47C2311yescharacteristic
361#95×C47C2311yescharacteristic
362#95×C47C2311yescharacteristic
363#95×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369C24×C47C2411yescharacteristic
370C24×C47C2411yescharacteristic
371C23×D47—22no—
372C23×D47—22no—
373C23×D47—22no—
374C23×D47—22no—
375C23×D47—22no—
376C23×D47—22no—
377C23×D47—22no—
378C23×D47—41no—
379C23×D47—41no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47#4114yes—
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C23×D47C2411yescharacteristic
389C2×D4×C47—22no—
390C2×D4×C47—22no—
391C2×D4×C47—41no—
392C22×C4×C47—22no—
393C22×C4×C47—22no—
394C22×C4×C47—41no—
395C22×C4×C47—41no—
396C22×C4×C47—41no—
397C22×C4×C47—41no—
398C22×C4×C47C2411yescharacteristic
399C22×C4×C47C2411yescharacteristic
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C2×C22⋊D47—22no—
412C2×C22⋊D47—22no—
413C2×C22⋊D47—22no—
414C2×C22⋊D47—22no—
415C2×C22⋊D47—22no—
416C2×C22⋊D47—22no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47—41no—
420C2×C22⋊D47—41no—
421C2×C22⋊D47—41no—
422C2×C22⋊D47—41no—
423C22×Dic47—22no—
424C22×Dic47—41no—
425C22×Dic47—41no—
426C22×Dic47—41no—
427C22×Dic47—41no—
428C22×Dic47—41no—
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441D4×D47—416no—
442C2×D188—22no—
443C2×D188—22no—
444C2×D188—22no—
445C2×D188—22no—
446C2×D188—22no—
447C2×D188—22no—
448C2×D188—22no—
449C2×D188—41no—
450C2×D188—41no—
451C2×D188—41no—
452C2×D188—41no—
453C2×D188—41no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—416no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47—41no—
482C2×C4×D47—41no—
483C2×C4×D47—41no—
484C2×C4×D47—41no—
485C2×Dic94—22no—
486C2×Dic94—41no—
487C2×Dic94—41no—
488C4⋊C4×C47—22no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C4⋊C4×C47—41no—
493C4⋊C4×C47—41no—
494C4⋊C4×C47—41no—
495C22⋊C4×C47—22no—
496C22⋊C4×C47—22no—
497C22⋊C4×C47—22no—
498C22⋊C4×C47—22no—
499C22⋊C4×C47—41no—
500C22⋊C4×C47—41no—
501C22⋊C4×C47—41no—
502C22⋊C4×C47—41no—
503C22⋊C4×C47—41no—
504C22⋊C4×C47—41no—
505C42×C47—41no—
506C22⋊Dic47—22no—
507C22⋊Dic47—22no—
508C22⋊Dic47—22no—
509C22⋊Dic47—41no—
510C22⋊Dic47—41no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514(C2×D47)⋊C4—22no—
515(C2×D47)⋊C4—22no—
516(C2×D47)⋊C4—22no—
517(C2×D47)⋊C4—22no—
518(C2×D47)⋊C4—22no—
519(C2×D47)⋊C4—22no—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
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—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546(C2×D47)⋊C4—41no—
547(C2×D47)⋊C4—41no—
548C4⋊Dic47—41no—
549C4⋊Dic47—41no—
550C4⋊Dic47—41no—
551C4⋊Dic47—41no—
552C4⋊Dic47—41no—
553C4⋊Dic47—41no—
554C4⋊Dic47—41no—
555C4⋊Dic47—41no—
556C4⋊Dic47—41no—
557C4⋊Dic47—41no—
558C4⋊Dic47—41no—
559Dic47⋊C4—22no—
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—
570Dic47⋊C4—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
573C23×C47—21no—
574C23×C47—21no—
575C23×C47—21no—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47C2×#4112yes—
586C23×C47H(5,𝔽2)12yes—
587C23×C47C2511yescharacteristic
588C22×D47—21no—
589C22×D47—21no—
590C22×D47—21no—
591C22×D47—21no—
592C22×D47—28no—
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—21no—
600C22×D47—21no—
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—21no—
604C22×D47—21no—
605C22×D47—28no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—44no—
614C22×D47—44no—
615C22×D47—44no—
616C22×D47—44no—
617C22×D47—44no—
618C22×D47—44no—
619C22×D47—44no—
620C22×D47—44no—
621C22×D47—82no—
622C22×D47—82no—
623C22×D47—82no—
624C22×D47—82no—
625C22×D47C2×#4112yes—
626C22×D47C2×#4112yes—
627C22×D47H(5,𝔽2)12yes—
628C22×D47H(5,𝔽2)12yes—
629C22×D472−1+412yes—
630D4×C47—44no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—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—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—82no—
671C2×C4×C47H(5,𝔽2)12yes—
672C22⋊D47—44no—
673C22⋊D47—44no—
674C22⋊D47—82no—
675C22⋊D47—82no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—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—44no—
713C2×Dic47—82no—
714D188—44no—
715D188—44no—
716D188—82no—
717D188—82no—
718C4×D47—44no—
719C4×D47—44no—
720C4×D47—44no—
721C4×D47—44no—
722C4×D47—44no—
723C4×D47—82no—
724C4×D47—82no—
725C4×D47—82no—
726C4×D47—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—41no—
737C22×C47—41no—
738C22×C47—41no—
739C22×C47—41no—
740C22×C47—41no—
741C22×C47—41no—
742C22×C47—41no—
743C22×C47—41no—
744C22×C47C22×#4111yescharacteristic
745C22×C47C2×H(5,𝔽2)11yescharacteristic
746C22×C47C2×H(5,𝔽2)11yescharacteristic
747C22×C47C2×H(5,𝔽2)11yescharacteristic
748C22×C47C2×H(5,𝔽2)11yescharacteristic
749C22×C47C2×2−1+411yescharacteristic
750C22×C47#58511yescharacteristic
751C2×D47—22no—
752C2×D47—22no—
753C2×D47—22no—
754C2×D47—22no—
755C2×D47—22no—
756C2×D47—22no—
757C2×D47—22no—
758C2×D47—22no—
759C2×D47—22no—
760C2×D47—22no—
761C2×D47—22no—
762C2×D47—22no—
763C2×D47—416no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—41no—
773C2×D47—41no—
774C2×D47—41no—
775C2×D47—41no—
776C2×D47—41no—
777C2×D47—41no—
778C2×D47—41no—
779C2×D47—88no—
780C2×D47#53914yes—
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—
791C4×C47—41no—
792C4×C47—41no—
793C4×C47—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#2746D4711yescharacteristic, complemented
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×#386—471no—
837C2×C47—42no—
838C2×C47—42no—
839C2×C47C2×#53911yescharacteristic
840C2×C47#349011yescharacteristic
841C2×C47#350511yescharacteristic
842C2×C47#353211yescharacteristic
843C2×C47#353411yescharacteristic
844C2×C47#353511yescharacteristic
845C2×C47#353611yescharacteristic
846D47—24no—
847D47—42no—
848D47—42no—
849D47—81no—
850C23×D4—471no—
851C24×C4—471no—
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⋊C4—471no—
871C22×C22⋊C4—471no—
872C22×C22⋊C4—471no—
873#401C2×D4711yescharacteristic, complemented
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#400C2×D4711yescharacteristic, complemented
885#399—471no—
886#399C2×D4711yescharacteristic, complemented
887#398—471no—
888#398—471no—
889#398—471no—
890#398—471no—
891#398—471no—
892#398C2×D4711yescharacteristic, complemented
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#397C2×D4711yescharacteristic, complemented
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#394C2×D4711yescharacteristic
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#388C2×D4711yescharacteristic, complemented
933#388C2×D4711yescharacteristic, complemented
934#387—471no—
935#387—471no—
936#387C2×D4711yescharacteristic, complemented
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#386—471no—
952#386—471no—
953#386—471no—
954#386—471no—
955#386—471no—
956#386—471no—
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#385C2×D4711yescharacteristic, complemented
982#385C2×D4711yescharacteristic, complemented
983#382—471no—
984#381—471no—
985#381—471no—
986#381C2×D4711yescharacteristic, complemented
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#380C2×D4711yescharacteristic, complemented
998#379—471no—
999#379—471no—
1000#379—471no—
1001#379—471no—
1002C4×C22⋊C4—471no—
1003C2×#95—471no—
1004C2×#95—471no—
1005C47#3677511yescharacteristic, complemented, Sylow
1006C25—471no—
1007C25—471no—
1008C22×Q8—471no—
1009C22×D4—471no—
1010C22×D4—471no—
1011C22×D4—471no—
1012C22×D4—471no—
1013C22×D4—471no—
1014C22×D4—471no—
1015C22×D4—471no—
1016C22×D4—471no—
1017C22×D4—944no—
1018C22×D4—1882no—
1019C22×D4—1882no—
1020C22×D4C22×D4711yescharacteristic
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4—471no—
1026C23×C4—471no—
1027C23×C4—471no—
1028C23×C4—471no—
1029C23×C4—471no—
1030C23×C4—471no—
1031C23×C4—471no—
1032C23×C4—471no—
1033C23×C4—1882no—
1034C23×C4—1882no—
1035C23×C4—1882no—
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⋊C4C22×D4711yescharacteristic
1078C2×C4⋊C4C22×D4711yescharacteristic
1079C2×C4⋊C4C22×D4711yescharacteristic
1080C2×C4⋊C4C22×D4711yescharacteristic
1081C2×C4⋊C4C22×D4711yescharacteristic
1082C2×C4⋊C4C22×D4711yescharacteristic
1083C2×C4⋊C4C22×D4711yescharacteristic
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊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—944no—
1127C2×C22⋊C4—1882no—
1128C2×C22⋊C4—1882no—
1129C2×C22⋊C4—1882no—
1130C2×C22⋊C4—1882no—
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×C42C22×D4711yescharacteristic
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#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179#95C22×D4711yescharacteristic
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—471no—
1189C24—471no—
1190C24—471no—
1191C24—474no—
1192C24—471no—
1193C24—942no—
1194C24—942no—
1195C24—942no—
1196C24—942no—
1197C24—942no—
1198C24—942no—
1199C24—942no—
1200C24—1881no—
1201C24—1881no—
1202C24—1881no—
1203C24—1881no—
1204C24—1881no—
1205C24—1881no—
1206C24C23×D4711yescharacteristic
1207C24C23×D4711yescharacteristic
1208C2×Q8—942no—
1209C2×Q8—1881no—
1210C2×Q8—1881no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—41no—
1214C2×D4—942no—
1215C2×D4—942no—
1216C2×D4—942no—
1217C2×D4—942no—
1218C2×D4—942no—
1219C2×D4—942no—
1220C2×D4—942no—
1221C2×D4—942no—
1222C2×D4—942no—
1223C2×D4—942no—
1224C2×D4—942no—
1225C2×D4—942no—
1226C2×D4—942no—
1227C2×D4—1881no—
1228C2×D4—1881no—
1229C2×D4—1881no—
1230C2×D4—1881no—
1231C2×D4—1881no—
1232C2×D4—1881no—
1233C2×D4—1881no—
1234C2×D4—1881no—
1235C2×D4—1881no—
1236C2×D4—1881no—
1237C2×D4—1881no—
1238C2×D4—18816no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—471no—
1246C22×C4—471no—
1247C22×C4—471no—
1248C22×C4—471no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—471no—
1252C22×C4—471no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—942no—
1258C22×C4—942no—
1259C22×C4—942no—
1260C22×C4—942no—
1261C22×C4—942no—
1262C22×C4—942no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—1881no—
1268C22×C4—1881no—
1269C22×C4—1881no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4—1881no—
1280C22×C4—1881no—
1281C22×C4—1881no—
1282C22×C4—1881no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4—18816no—
1289C22×C4—1881no—
1290C22×C4—1881no—
1291C22×C4—1881no—
1292C22×C4—1881no—
1293C22×C4—1881no—
1294C22×C4C23×D4711yescharacteristic
1295C22×C4C23×D4711yescharacteristic
1296C22×C4C23×D4711yescharacteristic
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—22no—
1308C4⋊C4—41no—
1309C4⋊C4—41no—
1310C4⋊C4—41no—
1311C4⋊C4—41no—
1312C4⋊C4—41no—
1313C4⋊C4—41no—
1314C4⋊C4—942no—
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—942no—
1348C22⋊C4—942no—
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—1881no—
1366C22⋊C4—1881no—
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—41no—
1390C42—1881no—
1391C42—1881no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—472no—
1405C23—472no—
1406C23—472no—
1407C23—472no—
1408C23—472no—
1409C23—948no—
1410C23—948no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—941no—
1431C23—941no—
1432C23—941no—
1433C23—941no—
1434C23—3762no—
1435C23—3762no—
1436C23—3762no—
1437C23—3762no—
1438C23—1884no—
1439C23—1884no—
1440C23—1884no—
1441C23—1884no—
1442C23—1884no—
1443C23—1884no—
1444C23—1884no—
1445C23—1884no—
1446C23#41×D4712yes—
1447C23#1309407012yes—
1448C23C24×D4711yescharacteristic
1449Q8—3762no—
1450D4—44no—
1451D4—3762no—
1452D4—3762no—
1453D4—3762no—
1454D4—3762no—
1455D4—1884no—
1456D4—1884no—
1457D4—1884no—
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—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—44no—
1498C2×C4—82no—
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—3762no—
1536C2×C4—3762no—
1537C2×C4—3762no—
1538C2×C4—3762no—
1539C2×C4—3762no—
1540C2×C4—3762no—
1541C2×C4—1884no—
1542C2×C4—1884no—
1543C2×C4—1884no—
1544C2×C4—1884no—
1545C2×C4—1884no—
1546C2×C4—1884no—
1547C2×C4#1309407012yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—474no—
1563C22—942no—
1564C22—942no—
1565C22—942no—
1566C22—942no—
1567C22—942no—
1568C22—942no—
1569C22—942no—
1570C22—942no—
1571C22—942no—
1572C22—942no—
1573C22—942no—
1574C22—942no—
1575C22—3768no—
1576C22—18816no—
1577C22—1881no—
1578C22—1881no—
1579C22—1881no—
1580C22—1881no—
1581C22—1881no—
1582C22—1881no—
1583C22—1881no—
1584C22—1881no—
1585C22—1881no—
1586C22—1881no—
1587C22—1881no—
1588C22—1881no—
1589C22—1881no—
1590C22—1881no—
1591C22—1881no—
1592C22C2×#41×D4711yescharacteristic
1593C22H(5,𝔽2)×D4711yescharacteristic
1594C22H(5,𝔽2)×D4711yescharacteristic
1595C22C2×#1309407011yescharacteristic
1596C22C2×#1309407011yescharacteristic
1597C222−1+4×D4711yescharacteristic
1598C22#1568995811yescharacteristic
1599C4—22no—
1600C4—41no—
1601C4—41no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
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—42no—
1625C2—42no—
1626C2—944no—
1627C2—3761no—
1628C2—1882no—
1629C2—1882no—
1630C2#539×D4711yescharacteristic
1631C2#2025707211yescharacteristic
1632C2#2025721711yescharacteristic
1633C2#2025754411yescharacteristic
1634C2#2025756911yescharacteristic
1635C2#2025759511yescharacteristic
1636C2#2025761311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2746C2
prime radical#20246761C2
hypercenter#2746D47
hypocenterC47#36775
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2746

Complements

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

NH ≅ G/Ntype
1. #20251681C2semidirect
2. #20251676C2semidirect
3. #20251065C2semidirect
4. #20250620C2semidirect
5. #20250565C2semidirect
6. #20250534C2semidirect
7. #20250360C2semidirect
8. #20250108C2semidirect
9. #20250107C2semidirect
10. #20250074C2semidirect
11. #20249936C2semidirect
12. #20249925C2semidirect
13. #20249898C2semidirect
14. #20249897C2semidirect
15. #20249873C2semidirect
16. #20249809C2semidirect
17. #20249744C2semidirect
18. #20249359C2semidirect
19. #20249346C2semidirect
20. #20247886C2semidirect
21. #20247640C2semidirect
22. #20247213C2semidirect
23. #20247052C2semidirect
24. #20246853C2semidirect
25. #20246777C2semidirect
27. #20246710C2semidirect
28. #20246041C2semidirect
29. #20245999C2semidirect
30. #386×D47C2semidirect
31. C47×#2746C2semidirect
34. C2×#13094019C22semidirect
36. C2×#13094009C22semidirect
37. C2×#13094009C22semidirect
38. C2×#13094008C22semidirect
39. C2×#13094007C22semidirect
42. C2×#13094004C22semidirect
43. C2×#13094003C22semidirect
44. C2×#13094001C22semidirect
55. #15689065C22semidirect
56. #15689065C22semidirect
57. #15689065C22semidirect
58. #15689065C22semidirect
59. #15689064C22semidirect
60. #15689064C22semidirect
61. #15689063C22semidirect
62. #15689062C22semidirect
63. #15689062C22semidirect
64. #15689061C22semidirect
65. #15689060C22semidirect
66. #15689057C22semidirect
67. #15689057C22semidirect
68. #15689056C22semidirect
69. #15689055C22semidirect
70. #15689055C22semidirect
71. #15689052C22semidirect
72. #15689052C22semidirect
73. #15689051C22semidirect
74. #15689051C22semidirect
75. #15689050C22semidirect
76. #15689050C22semidirect
77. #15689050C22semidirect
78. #15689049C22semidirect
79. #15689047C22semidirect
80. #15689046C22semidirect
81. #15689045C22semidirect
82. #15689045C22semidirect
83. #15689045C22semidirect
85. #15689040C22semidirect
88. #15689039C22semidirect
89. #15689039C22semidirect
91. #15689038C22semidirect
93. #15689036C22semidirect
94. #15689036C22semidirect
97. #15689027C22semidirect
98. #15689025C22semidirect
99. #15689023C22semidirect
100. #15689020C22semidirect
101. #15689016C22semidirect
102. #15689015C22semidirect
103. #15689014C22semidirect
104. #15689013C22semidirect
105. #15689012C22semidirect
106. #15689011C22semidirect
107. #15689011C22semidirect
108. #15689010C22semidirect
109. #15689009C22semidirect
119. #15689001C22semidirect
120. #15689001C22semidirect
121. #15689001C22semidirect
122. #15689001C22semidirect
128. #15688999C22semidirect
129. #15688999C22semidirect
130. #15688998C22semidirect
131. #15688998C22semidirect
132. #15688998C22semidirect
133. #15688998C22semidirect
141. #15688997C22semidirect
142. #15688997C22semidirect
143. #15688997C22semidirect
144. #15688997C22semidirect
145. #15688997C22semidirect
146. #15688996C22semidirect
147. #15688995C22semidirect
151. #15688994C22semidirect
152. #15688989C22semidirect
153. #15688985C22semidirect
154. #15688984C22semidirect
155. #15688983C22semidirect
157. #15688982C22semidirect
158. #15688982C22semidirect
161. #15688980C22semidirect
162. #15688980C22semidirect
163. #15688980C22semidirect
164. #15688980C22semidirect
172. C47×#401C22semidirect
173. C47×#400C22semidirect
174. C47×#399C22semidirect
175. C47×#398C22semidirect
176. C47×#397C22semidirect
178. C47×#388C22semidirect
179. C47×#388C22semidirect
180. C47×#387C22semidirect
183. C47×#385C22semidirect
184. C47×#385C22semidirect
185. C47×#381C22semidirect
186. C47×#380C22semidirect
811. #2746D47semidirect
873. #401C2×D47semidirect
884. #400C2×D47semidirect
886. #399C2×D47semidirect
892. #398C2×D47semidirect
901. #397C2×D47semidirect
932. #388C2×D47semidirect
933. #388C2×D47semidirect
936. #387C2×D47semidirect
981. #385C2×D47semidirect
982. #385C2×D47semidirect
986. #381C2×D47semidirect
997. #380C2×D47semidirect
1005. C47#36775semidirect

Maximal subgroups

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

subgroupindex
#202516812
#202516762
#202510652
#202506202
#202505652
#202505342
#202503602
#202501082
#202501072
#202500742
#202499362
#202499252
#202498982
#202498972
#202498732
#202498092
#202497442
#202493592
#202493462
#202478862
#202476402
#202472132
#202470522
#202468532
#202467772
#202467612
#202467102
#202460412
#202459992
#386×D472
C47×#27462
#3677547