Finite Group Databasebeta

← #26388917

Subgroups — #26388917

Order 12032.

2834 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689716C211yesmaximal, characteristic, complemented
2C22×C4⋊C4×D47C211yesmaximal, characteristic, complemented
3#20251679C211yesmaximal, characteristic, complemented
4#20251679C211yesmaximal, characteristic, complemented
5#20251674C211yesmaximal, characteristic, complemented
6#20251667C211yesmaximal, characteristic
7#20249206C211yesmaximal, characteristic, complemented
8#20249173C211yesmaximal, characteristic, complemented
9#20249167C211yesmaximal, characteristic, complemented
10#20249129C211yesmaximal, characteristic, complemented
11#20247655C211yesmaximal, characteristic, complemented
12#20247651C211yesmaximal, characteristic, complemented
13#20247648C211yesmaximal, characteristic, complemented
14#20247644C211yesmaximal, characteristic, complemented
15#20247536C211yesmaximal, characteristic, complemented
16#20247532C211yesmaximal, characteristic, complemented
17#20247527C211yesmaximal, characteristic, complemented
18#20247523C211yesmaximal, characteristic, complemented
19#20247203C211yesmaximal, characteristic, complemented
20#20247200C211yesmaximal, characteristic, complemented
21#20247196C211yesmaximal, characteristic, complemented
22#20247191C211yesmaximal, characteristic, complemented
23#20247120C211yesmaximal, characteristic, complemented
24#20247119C211yesmaximal, characteristic, complemented
25#20247116C211yesmaximal, characteristic, complemented
26#20246058C211yesmaximal, characteristic, complemented
27#20246055C211yesmaximal, characteristic, complemented
28#20245987C211yesmaximal, characteristic, complemented
29#20245893C211yesmaximal, characteristic, complemented
30C4×#13093992C211yesmaximal, characteristic, complemented
31C47×#2443C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689716—28no—
36C2×#13094017C2211yescharacteristic, complemented
37C2×#13094017C2211yescharacteristic, complemented
38C2×#13094015C2211yescharacteristic, complemented
39C2×#13094014C2211yescharacteristic, complemented
40C2×#13094006C2211yescharacteristic
41C2×#13094006C2211yescharacteristic
42C2×#13094006C2211yescharacteristic
43C2×#13094006C2211yescharacteristic
44C2×#13094005C2211yescharacteristic, complemented
45C2×#13094003C2211yescharacteristic, complemented
46C2×#13094002C2211yescharacteristic
47C2×#13094002C2211yescharacteristic
48C2×#13094001C2211yescharacteristic
49C2×#13094001C2211yescharacteristic, complemented
50C2×#13093995C2211yescharacteristic
51C2×#13093995C2211yescharacteristic
52C2×#13093992C2211yescharacteristic
53C2×#13093992C2211yescharacteristic
54C2×D4×Dic47C2211yescharacteristic
55C2×C4×C22⋊D47C2211yescharacteristic
56C2×C4×C22⋊D47C2211yescharacteristic
57C2×(C22⋊D47)⋊C4C2211yescharacteristic
58C2×(C22⋊D47)⋊C4C2211yescharacteristic
59C22×C4⋊Dic47C2211yescharacteristic
60C22×Dic47⋊C4C2211yescharacteristic
61C22×Dic47⋊C4C2211yescharacteristic
62C2×C4⋊C4×D47—28no—
63C2×C4⋊C4×D47C2211yescharacteristic
64C2×C4⋊C4×D47C2211yescharacteristic
65C2×C4⋊C4×D47C2211yescharacteristic
66C2×C4⋊C4×D47C2211yescharacteristic
67C2×C4⋊C4×D47C2211yescharacteristic
68C2×C4⋊C4×D47C2211yescharacteristic
69C2×C4⋊C4×D47C2211yescharacteristic
70C2×C4⋊C4×D47C2211yescharacteristic
71#15689065C2211yescharacteristic, complemented
72#15689065C2211yescharacteristic, complemented
73#15689065C2211yescharacteristic, complemented
74#15689064C2211yescharacteristic, complemented
75#15689063C2211yescharacteristic, complemented
76#15689061C2211yescharacteristic, complemented
77#15689059C2211yescharacteristic, complemented
78#15689059C2211yescharacteristic, complemented
79#15689059C2211yescharacteristic, complemented
80#15689056C2211yescharacteristic, complemented
81#15689056C2211yescharacteristic, complemented
82#15689056C2211yescharacteristic, complemented
83#15689056C2211yescharacteristic, complemented
84#15689055C2211yescharacteristic, complemented
85#15689055C2211yescharacteristic, complemented
86#15689054C2211yescharacteristic, complemented
87#15689053C2211yescharacteristic, complemented
88#15689053C2211yescharacteristic, complemented
89#15689051C2211yescharacteristic, complemented
90#15689051C2211yescharacteristic, complemented
91#15689048C2211yescharacteristic, complemented
92#15689046C2211yescharacteristic, complemented
93#15689046C2211yescharacteristic, complemented
94#15689046C2211yescharacteristic, complemented
95#15689046C2211yescharacteristic, complemented
96#15689044C2211yescharacteristic, complemented
97#15689043C2211yescharacteristic, complemented
98#15689037C2211yescharacteristic, complemented
99#15689021C2211yescharacteristic, complemented
100#15689020C2211yescharacteristic, complemented
101#15689019C2211yescharacteristic, complemented
102#15689018C2211yescharacteristic, complemented
103#15689017C2211yescharacteristic, complemented
104#15689016C2211yescharacteristic, complemented
105#15689011C2211yescharacteristic, complemented
106#15689010C2211yescharacteristic, complemented
107#15689010C2211yescharacteristic, complemented
108#15689009C2211yescharacteristic, complemented
109#15689008C2211yescharacteristic, complemented
110#15689008C2211yescharacteristic, complemented
111#15689007C2211yescharacteristic, complemented
112#15689006C2211yescharacteristic, complemented
113#15689006C2211yescharacteristic, complemented
114#15689005C2211yescharacteristic, complemented
115#15689004C2211yescharacteristic, complemented
116#15689004C2211yescharacteristic, complemented
117#15689003C2211yescharacteristic
118#15689003C2211yescharacteristic
119#15689003C2211yescharacteristic
120#15689003C2211yescharacteristic
121#15689003C2211yescharacteristic
122#15688999C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic
126#15688999C2211yescharacteristic
127#15688999C2211yescharacteristic
128#15688999C2211yescharacteristic
129#15688999C2211yescharacteristic
130#15688999C2211yescharacteristic
131#15688999C2211yescharacteristic
132#15688999C2211yescharacteristic
133#15688999C2211yescharacteristic
134#15688998C2211yescharacteristic
135#15688998C2211yescharacteristic
136#15688998C2211yescharacteristic, complemented
137#15688997C2211yescharacteristic
138#15688997C2211yescharacteristic
139#15688997C2211yescharacteristic
140#15688997C2211yescharacteristic
141#15688997C2211yescharacteristic
142#15688997C2211yescharacteristic
143#15688997C2211yescharacteristic
144#15688997C2211yescharacteristic
145#15688996C2211yescharacteristic
146#15688996C2211yescharacteristic
147#15688996C2211yescharacteristic
148#15688996C2211yescharacteristic
149#15688996C2211yescharacteristic, complemented
150#15688995C2211yescharacteristic
151#15688995C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic
153#15688994C2211yescharacteristic
154#15688994C2211yescharacteristic
155#15688994C2211yescharacteristic
156#15688985C2211yescharacteristic
157#15688985C2211yescharacteristic
158#15688985C2211yescharacteristic
159#15688985C2211yescharacteristic
160#15688983C2211yescharacteristic
161#15688982C2211yescharacteristic
162#15688982C2211yescharacteristic
163#15688981C2211yescharacteristic
164#15688980C2211yescharacteristic
165#15688980C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168C22⋊C4×Dic47C2211yescharacteristic
169C4×(C2×D47)⋊C4C2211yescharacteristic
170C4×(C2×D47)⋊C4C2211yescharacteristic
171C4×C22⋊Dic47C2211yescharacteristic
172#15688970C2211yescharacteristic
173#15688970C2211yescharacteristic
174C2×#123×C47C2211yescharacteristic, complemented
175C2×#121×C47C2211yescharacteristic
176C2×C4×D4×C47C2211yescharacteristic
177C22×C4⋊C4×C47C2211yescharacteristic
178C47×#399C2211yescharacteristic, complemented
179C47×#398C2211yescharacteristic, complemented
180C47×#397C2211yescharacteristic, complemented
181C47×#394C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#387C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic
186C47×#386C2211yescharacteristic
187C47×#385C2211yescharacteristic
188C47×#385C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C23×Dic47C2311yescharacteristic
199C22×C4×D47—24no—
200C22×C4×D47—24no—
201C22×C4×D47—24no—
202C22×C4×D47—24no—
203C22×C4×D47—24no—
204C22×C4×D47—42no—
205C22×C4×D47—42no—
206C22×C4×D47—42no—
207C22×C4×D47—42no—
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220#13094017—24no—
221#13094017—24no—
222#13094015—24no—
223#13094014—24no—
224#13094006—24no—
225#13094006—24no—
226#13094006—24no—
227#13094006—24no—
228#13094005—24no—
229#13094003—24no—
230#13094002—24no—
231#13094002—42no—
232#13094001—24no—
233#13094001—42no—
234#13093995—24no—
235#13093995—42no—
236#13093992—24no—
237#13093992—24no—
238D4×Dic47—42no—
239C4×C22⋊D47—24no—
240C4×C22⋊D47—42no—
241(C22⋊D47)⋊C4—24no—
242(C22⋊D47)⋊C4—42no—
243C2×C4⋊Dic47—24no—
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4—24no—
257C2×Dic47⋊C4—24no—
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×Dic47⋊C4C2311yescharacteristic
278C2×Dic47⋊C4C2311yescharacteristic
279C2×Dic47⋊C4C2311yescharacteristic
280C4⋊C4×D47—24no—
281C4⋊C4×D47—24no—
282C4⋊C4×D47—24no—
283C4⋊C4×D47—24no—
284C4⋊C4×D47—24no—
285C4⋊C4×D47—24no—
286C4⋊C4×D47—24no—
287C4⋊C4×D47D418yescomplemented
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×C22⋊Dic47C2311yescharacteristic
302C2×C22⋊Dic47C2311yescharacteristic
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×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
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
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C22×D4×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C23×C4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359#123×C47—24no—
360#121×C47—42no—
361C4×D4×C47—42no—
362C2×C4⋊C4×C47—24no—
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊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×C42×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—22no—
399C23×D47—22no—
400C23×D47#4114yes—
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C2×D4×C47—22no—
404C2×D4×C47—22no—
405C2×D4×C47—22no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—22no—
410C2×D4×C47—41no—
411C2×D4×C47—41no—
412C22×C4×C47—22no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—22no—
417C22×C4×C47—22no—
418C22×C4×C47—22no—
419C22×C4×C47—22no—
420C22×C4×C47—41no—
421C22×C4×C47—41no—
422C22×C4×C47—41no—
423C22×C4×C47—41no—
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C2×C22⋊D47—22no—
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—22no—
448C22×Dic47—22no—
449C22×Dic47—22no—
450C22×Dic47—22no—
451C22×Dic47—22no—
452C22×Dic47—22no—
453C22×Dic47—22no—
454C22×Dic47—22no—
455C22×Dic47—22no—
456C22×Dic47—41no—
457C22×Dic47—41no—
458C22×Dic47—41no—
459C22×Dic47—41no—
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C2×C4×D47—232no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—22no—
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
487C2×C4×D47—22no—
488C2×C4×D47—22no—
489C2×C4×D47—22no—
490C2×C4×D47—22no—
491C2×C4×D47—22no—
492C2×C4×D47—22no—
493C2×C4×D47—22no—
494C2×C4×D47—22no—
495C2×C4×D47—41no—
496C2×C4×D47—41no—
497C2×C4×D47—41no—
498C2×C4×D47—41no—
499C2×C4×D47—41no—
500C2×C4×D47—41no—
501C2×C4×D47—41no—
502C2×C4×D47—41no—
503C2×C4×D47—41no—
504C2×C4×D47—41no—
505C2×C4×D47—41no—
506C2×C4×D47—41no—
507C2×C4×D47—416no—
508C2×C4×D47—416no—
509C2×C4×D47C2×D414yes—
510C2×C4×D47C2×D414yes—
511C2×C4×D47C2×D414yes—
512C2×C4×D47#4114yes—
513C2×Dic94—22no—
514C2×Dic94—41no—
515C2×Dic94—41no—
516C4⋊C4×C47—22no—
517C4⋊C4×C47—22no—
518C4⋊C4×C47—22no—
519C4⋊C4×C47—22no—
520C4⋊C4×C47—41no—
521C4⋊C4×C47—41no—
522C4⋊C4×C47—41no—
523C4⋊C4×C47C2×D414yes—
524C22⋊C4×C47—22no—
525C22⋊C4×C47—22no—
526C22⋊C4×C47—22no—
527C22⋊C4×C47—22no—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—41no—
532C22⋊C4×C47—41no—
533C22⋊C4×C47—41no—
534C22⋊C4×C47—41no—
535C42×C47—41no—
536C22⋊Dic47—22no—
537C22⋊Dic47—22no—
538C22⋊Dic47—22no—
539C22⋊Dic47—22no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—41no—
548C22⋊Dic47—41no—
549C22⋊Dic47—41no—
550C22⋊Dic47—41no—
551(C2×D47)⋊C4—22no—
552(C2×D47)⋊C4—22no—
553(C2×D47)⋊C4—22no—
554(C2×D47)⋊C4—22no—
555(C2×D47)⋊C4—22no—
556(C2×D47)⋊C4—22no—
557(C2×D47)⋊C4—22no—
558(C2×D47)⋊C4—22no—
559(C2×D47)⋊C4—22no—
560(C2×D47)⋊C4—22no—
561(C2×D47)⋊C4—22no—
562(C2×D47)⋊C4—22no—
563C4⋊Dic47—22no—
564C4⋊Dic47—22no—
565C4⋊Dic47—22no—
566C4⋊Dic47—22no—
567C4⋊Dic47—22no—
568C4⋊Dic47—22no—
569C4⋊Dic47—22no—
570C4⋊Dic47—22no—
571C4⋊Dic47—41no—
572C4⋊Dic47—41no—
573C4⋊Dic47—41no—
574C4⋊Dic47C2×D414yes—
575Dic47⋊C4—22no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—22no—
579Dic47⋊C4—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4—22no—
582Dic47⋊C4—22no—
583Dic47⋊C4—22no—
584Dic47⋊C4—22no—
585Dic47⋊C4—22no—
586Dic47⋊C4—22no—
587Dic47⋊C4—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—41no—
590Dic47⋊C4—41no—
591Dic47⋊C4—41no—
592Dic47⋊C4—41no—
593Dic47⋊C4—41no—
594Dic47⋊C4—41no—
595Dic47⋊C4C2×D414yes—
596Dic47⋊C4C2×D414yes—
597C4×Dic47—22no—
598C4×Dic47—22no—
599C4×Dic47—41no—
600C4×Dic47—41no—
601C4×Dic47—41no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47—21no—
611C23×C47—21no—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47C2×#4112yes—
621C23×C47H(5,𝔽2)12yes—
622C23×C472−1+412yes—
623C23×C47C2511yescharacteristic
624C22×D47—28no—
625C22×D47—28no—
626C22×D47—28no—
627C22×D47—28no—
628C22×D47—28no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—28no—
638C22×D47—28no—
639C22×D47C22×D412yes—
640C22×D47C2×#4112yes—
641C22×D47C2×#4112yes—
642C22×D47C2×#4112yes—
643C22×D47H(5,𝔽2)12yes—
644C22×D472−1+412yes—
645D4×C47—44no—
646D4×C47—44no—
647D4×C47—82no—
648C2×C4×C47—28no—
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—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
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—44no—
682C2×C4×C47—44no—
683C2×C4×C47—82no—
684C2×C4×C47C22×D412yes—
685C2×C4×C47C22×D412yes—
686C2×C4×C47C22×D412yes—
687C2×C4×C47C2×#4112yes—
688C22⋊D47—44no—
689C22⋊D47—44no—
690C22⋊D47—44no—
691C22⋊D47—44no—
692C2×Dic47—28no—
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—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—44no—
732C2×Dic47—44no—
733C2×Dic47—82no—
734C2×Dic47C22×D412yes—
735C2×Dic47C22×D412yes—
736C2×Dic47C22×D412yes—
737C2×Dic47C2×#4112yes—
738C4×D47—28no—
739C4×D47—28no—
740C4×D47—28no—
741C4×D47—28no—
742C4×D47—44no—
743C4×D47—44no—
744C4×D47—44no—
745C4×D47—44no—
746C4×D47—44no—
747C4×D47—44no—
748C4×D47—44no—
749C4×D47—44no—
750Dic94—82no—
751#34989—471nomaximal, Sylow
752C22×C47—22no—
753C22×C47—22no—
754C22×C47—22no—
755C22×C47—22no—
756C22×C47—22no—
757C22×C47—22no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47—41no—
765C22×C47—41no—
766C22×C47—41no—
767C22×C47—41no—
768C22×C47—41no—
769C22×C47—41no—
770C22×C47—41no—
771C22×C47—41no—
772C22×C47#53914yescomplemented
773C22×C47C23×D411yescharacteristic
774C22×C47C22×#4111yescharacteristic
775C22×C47C22×#4111yescharacteristic
776C22×C47C2×H(5,𝔽2)11yescharacteristic
777C22×C47C2×H(5,𝔽2)11yescharacteristic
778C22×C47C2×2−1+411yescharacteristic
779C22×C47C2×2−1+411yescharacteristic
780C2×D47—232no—
781C2×D47—22no—
782C2×D47—22no—
783C2×D47—22no—
784C2×D47—22no—
785C2×D47—22no—
786C2×D47—22no—
787C2×D47—22no—
788C2×D47—22no—
789C2×D47—22no—
790C2×D47—22no—
791C2×D47—22no—
792C2×D47—22no—
793C2×D47#52514yes—
794C2×D47#53914yescomplemented
795C4×C47—22no—
796C4×C47—22no—
797C4×C47—22no—
798C4×C47—22no—
799C4×C47—41no—
800C4×C47—41no—
801C4×C47—41no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807Dic47—22no—
808Dic47—22no—
809Dic47—22no—
810Dic47—22no—
811Dic47—41no—
812Dic47—41no—
813Dic47—41no—
814Dic47—41no—
815Dic47—41no—
816Dic47—41no—
817Dic47—41no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821C2×#539—471no—
822C23×C4⋊C4—471no—
823#2849—471no—
824#2849—471no—
825#2848—471no—
826#2847—471no—
827#2627—471no—
828#2623—471no—
829#2623—471no—
830#2618—471no—
831#2481—471no—
832#2481—471no—
833#2481—471no—
834#2481—471no—
835#2473—471no—
836#2473—471no—
837#2473—471no—
838#2473—471no—
839#2449—471no—
840#2449—471no—
841#2449—471no—
842#2449—471no—
843#2443—471no—
844#2443—471no—
845#2443—471no—
846#2443D4711yescharacteristic, complemented
847#2322—471no—
848#2322—471no—
849#2313—471no—
850C4×#120—471no—
851C4×#120—471no—
852C2×C47—24no—
853C2×C47—81no—
854C2×C47—81no—
855C2×C47C2×#52511yescharacteristic
856C2×C47C2×#53911yescharacteristic
857C2×C47C2×#53911yescharacteristic
858C2×C47#348411yescharacteristic
859C2×C47#348611yescharacteristic
860C2×C47#349211yescharacteristic
861C2×C47#349211yescharacteristic
862D47—24no—
863D47—24no—
864C24×C4—471no—
865C24×C4—471no—
866C24×C4—471no—
867#539—948no—
868C2×#126—471no—
869C2×#126—471no—
870C2×#125—471no—
871C2×#125—471no—
872C2×#123—471no—
873C2×#123—471no—
874C2×#123—471no—
875C2×#123—471no—
876C2×#123—471no—
877C2×#123C2×D4711yescharacteristic, complemented
878C2×C22⋊Q8—471no—
879C2×C22⋊Q8—471no—
880C2×C22⋊Q8—471no—
881C2×C22⋊Q8—471no—
882C2×C22⋊Q8—471no—
883C2×#121—471no—
884C2×#121—471no—
885C2×#121C2×D4711yescharacteristic
886C2×#120—471no—
887C2×#120—471no—
888C2×C4×D4—471no—
889C2×C4×D4—471no—
890C2×C4×D4—471no—
891C2×C4×D4—471no—
892C2×C4×D4—471no—
893C2×C4×D4C2×D4711yescharacteristic
894C22×C4⋊C4—471no—
895C22×C4⋊C4—471no—
896C22×C4⋊C4—471no—
897C22×C4⋊C4—471no—
898C22×C4⋊C4—471no—
899C22×C4⋊C4—471no—
900C22×C4⋊C4—471no—
901C22×C4⋊C4—471no—
902C22×C4⋊C4—471no—
903C22×C4⋊C4—471no—
904C22×C4⋊C4—471no—
905C22×C4⋊C4—948no—
906C22×C4⋊C4C2×D4711yescharacteristic
907#400—471no—
908#400—471no—
909#400—471no—
910#400—471no—
911#400—471no—
912#400—471no—
913#399—471no—
914#399—471no—
915#399—471no—
916#399C2×D4711yescharacteristic, complemented
917#398—471no—
918#398—471no—
919#398—471no—
920#398—471no—
921#398—471no—
922#398—471no—
923#398—471no—
924#398—471no—
925#398—471no—
926#398C2×D4711yescharacteristic, complemented
927#397—471no—
928#397—471no—
929#397—471no—
930#397C2×D4711yescharacteristic, complemented
931#396—471no—
932#396—471no—
933#396—471no—
934#396—471no—
935#395—471no—
936#395—471no—
937#394—471no—
938#394C2×D4711yescharacteristic, complemented
939#389—471no—
940#389—471no—
941#389—471no—
942#389—471no—
943#388—471no—
944#388—471no—
945#388—471no—
946#388C2×D4711yescharacteristic, complemented
947#387—471no—
948#387—471no—
949#387—471no—
950#387—471no—
951#387—471no—
952#387—471no—
953#387—471no—
954#387—471no—
955#387—471no—
956#387—471no—
957#387—471no—
958#387C2×D4711yescharacteristic, complemented
959#386—471no—
960#386—471no—
961#386—471no—
962#386—471no—
963#386—471no—
964#386—471no—
965#386—471no—
966#386—471no—
967#386—471no—
968#386—471no—
969#386—471no—
970#386—471no—
971#386—471no—
972#386—471no—
973#386—471no—
974#386—471no—
975#386—471no—
976#386C2×D4711yescharacteristic
977#386C2×D4711yescharacteristic
978#386C2×D4711yescharacteristic
979#385—471no—
980#385—471no—
981#385—471no—
982#385—471no—
983#385—471no—
984#385—471no—
985#385—471no—
986#385—471no—
987#385—471no—
988#385—471no—
989#385—471no—
990#385—471no—
991#385—471no—
992#385—471no—
993#385—471no—
994#385—471no—
995#385—471no—
996#385—471no—
997#385—471no—
998#385—471no—
999#385—471no—
1000#385—471no—
1001#385C2×D4711yescharacteristic
1002#385C2×D4711yescharacteristic, complemented
1003#381—471no—
1004#381—471no—
1005#381—471no—
1006#381—471no—
1007#380—471no—
1008#380—471no—
1009#380—471no—
1010#380—471no—
1011#380—471no—
1012#380—471no—
1013#379—471no—
1014#379—471no—
1015C4×C22⋊C4—471no—
1016C4×C22⋊C4—471no—
1017C4×C22⋊C4—471no—
1018C4×C22⋊C4—471no—
1019C4×C22⋊C4—471no—
1020C4×C22⋊C4—471no—
1021C47#3498911yescharacteristic, complemented, Sylow
1022C25—471no—
1023C22×Q8—471no—
1024C22×D4—471no—
1025C22×D4—471no—
1026C22×D4—471no—
1027C22×D4—471no—
1028C22×D4C22×D4711yescharacteristic
1029C22×D4C22×D4711yescharacteristic
1030C22×D4C22×D4711yescharacteristic
1031C23×C4—471no—
1032C23×C4—471no—
1033C23×C4—471no—
1034C23×C4—471no—
1035C23×C4—471no—
1036C23×C4—471no—
1037C23×C4—471no—
1038C23×C4—471no—
1039C23×C4—471no—
1040C23×C4—471no—
1041C23×C4—471no—
1042C23×C4—471no—
1043C23×C4—471no—
1044C23×C4—471no—
1045C23×C4—471no—
1046C23×C4—471no—
1047C23×C4—944no—
1048C23×C4—944no—
1049C23×C4—944no—
1050C23×C4—944no—
1051C23×C4—944no—
1052C23×C4—1882no—
1053C23×C4—1882no—
1054C23×C4—1882no—
1055C23×C4—1882no—
1056C23×C4C22×D4711yescharacteristic
1057C23×C4C22×D4711yescharacteristic
1058C23×C4C22×D4711yescharacteristic
1059C23×C4C22×D4711yescharacteristic
1060#126—944no—
1061#126—944no—
1062#125—944no—
1063#125—944no—
1064#123—24no—
1065#123—944no—
1066#123—944no—
1067#123—944no—
1068#123—944no—
1069#123—944no—
1070C22⋊Q8—944no—
1071C22⋊Q8—944no—
1072C22⋊Q8—944no—
1073C22⋊Q8—1882no—
1074C22⋊Q8—1882no—
1075#121—42no—
1076#121—944no—
1077#121—1882no—
1078#120—944no—
1079#120—944no—
1080C4×D4—42no—
1081C4×D4—944no—
1082C4×D4—944no—
1083C4×D4—1882no—
1084C4×D4—1882no—
1085C4×D4—1882no—
1086C2×C4⋊C4—24no—
1087C2×C4⋊C4—471no—
1088C2×C4⋊C4—471no—
1089C2×C4⋊C4—471no—
1090C2×C4⋊C4—478no—
1091C2×C4⋊C4—471no—
1092C2×C4⋊C4—471no—
1093C2×C4⋊C4—471no—
1094C2×C4⋊C4—471no—
1095C2×C4⋊C4—471no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—471no—
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4—471no—
1100C2×C4⋊C4—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—471no—
1107C2×C4⋊C4—471no—
1108C2×C4⋊C4—471no—
1109C2×C4⋊C4—471no—
1110C2×C4⋊C4—471no—
1111C2×C4⋊C4—471no—
1112C2×C4⋊C4—471no—
1113C2×C4⋊C4—471no—
1114C2×C4⋊C4—471no—
1115C2×C4⋊C4—471no—
1116C2×C4⋊C4—471no—
1117C2×C4⋊C4—471no—
1118C2×C4⋊C4—471no—
1119C2×C4⋊C4—471no—
1120C2×C4⋊C4—471no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—944no—
1123C2×C4⋊C4—944no—
1124C2×C4⋊C4—944no—
1125C2×C4⋊C4—944no—
1126C2×C4⋊C4—944no—
1127C2×C4⋊C4—944no—
1128C2×C4⋊C4—944no—
1129C2×C4⋊C4—944no—
1130C2×C4⋊C4—944no—
1131C2×C4⋊C4—944no—
1132C2×C4⋊C4C22×D4711yescharacteristic
1133C2×C4⋊C4C22×D4711yescharacteristic
1134C2×C4⋊C4C22×D4711yescharacteristic
1135C2×C4⋊C4C22×D4711yescharacteristic
1136C2×C4⋊C4C22×D4711yescharacteristic
1137C2×C4⋊C4C22×D4711yescharacteristic
1138C2×C4⋊C4C22×D4711yescharacteristic
1139C2×C4⋊C4C22×D4711yescharacteristic
1140C2×C22⋊C4—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
1168C2×C22⋊C4C22×D4711yescharacteristic
1169C2×C22⋊C4C22×D4711yescharacteristic
1170C2×C22⋊C4C22×D4711yescharacteristic
1171C2×C22⋊C4C22×D4711yescharacteristic
1172C2×C22⋊C4C22×D4711yescharacteristic
1173C2×C22⋊C4C22×D4711yescharacteristic
1174C2×C22⋊C4C22×D4711yescharacteristic
1175C2×C22⋊C4C22×D4711yescharacteristic
1176C2×C22⋊C4C22×D4711yescharacteristic
1177C2×C22⋊C4C22×D4711yescharacteristic
1178C2×C42—471no—
1179C2×C42—471no—
1180C2×C42—471no—
1181C2×C42—471no—
1182C2×C42—471no—
1183C2×C42C22×D4711yescharacteristic
1184#95—471no—
1185#95—471no—
1186#95—471no—
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95—471no—
1207#95—471no—
1208#95—471no—
1209#95—471no—
1210#95—471no—
1211#95—471no—
1212#95—471no—
1213#95—471no—
1214#95—471no—
1215#95—471no—
1216#95C22×D4711yescharacteristic
1217#95C22×D4711yescharacteristic
1218#95C22×D4711yescharacteristic
1219#95C22×D4711yescharacteristic
1220#95C22×D4711yescharacteristic
1221#95C22×D4711yescharacteristic
1222#95C22×D4711yescharacteristic
1223#95C22×D4711yescharacteristic
1224C24—471no—
1225C24—471no—
1226C24—474no—
1227C24—942no—
1228C24—942no—
1229C24—942no—
1230C24—942no—
1231C24—942no—
1232C24—942no—
1233C24C23×D4711yescharacteristic
1234C24C23×D4711yescharacteristic
1235C24C23×D4711yescharacteristic
1236C2×Q8—942no—
1237C2×Q8—1881no—
1238C2×Q8—1881no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—942no—
1249C2×D4—942no—
1250C2×D4—942no—
1251C2×D4—942no—
1252C2×D4—942no—
1253C2×D4—942no—
1254C2×D4—942no—
1255C2×D4—942no—
1256C2×D4—942no—
1257C2×D4—942no—
1258C2×D4—942no—
1259C2×D4—942no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—471no—
1273C22×C4—471no—
1274C22×C4—471no—
1275C22×C4—471no—
1276C22×C4—474no—
1277C22×C4—474no—
1278C22×C4—474no—
1279C22×C4—474no—
1280C22×C4—471no—
1281C22×C4—471no—
1282C22×C4—471no—
1283C22×C4—471no—
1284C22×C4—471no—
1285C22×C4—471no—
1286C22×C4—471no—
1287C22×C4—471no—
1288C22×C4—471no—
1289C22×C4—471no—
1290C22×C4—942no—
1291C22×C4—942no—
1292C22×C4—942no—
1293C22×C4—942no—
1294C22×C4—942no—
1295C22×C4—942no—
1296C22×C4—942no—
1297C22×C4—942no—
1298C22×C4—942no—
1299C22×C4—942no—
1300C22×C4—9432no—
1301C22×C4—942no—
1302C22×C4—942no—
1303C22×C4—942no—
1304C22×C4—942no—
1305C22×C4—942no—
1306C22×C4—942no—
1307C22×C4—942no—
1308C22×C4—942no—
1309C22×C4—942no—
1310C22×C4—942no—
1311C22×C4—942no—
1312C22×C4—942no—
1313C22×C4—942no—
1314C22×C4—942no—
1315C22×C4—942no—
1316C22×C4—942no—
1317C22×C4—942no—
1318C22×C4—942no—
1319C22×C4—1881no—
1320C22×C4—1881no—
1321C22×C4—1881no—
1322C22×C4—1881no—
1323C22×C4—1881no—
1324C22×C4—1881no—
1325C22×C4—1881no—
1326C22×C4—1881no—
1327C22×C4—1881no—
1328C22×C4—1881no—
1329C22×C4—1881no—
1330C22×C4—1881no—
1331C22×C4—18816no—
1332C22×C4—18816no—
1333C22×C4—1881no—
1334C22×C4—1881no—
1335C22×C4—1881no—
1336C22×C4—1881no—
1337C22×C4C23×D4711yescharacteristic
1338C22×C4C23×D4711yescharacteristic
1339C22×C4C23×D4711yescharacteristic
1340C22×C4C23×D4711yescharacteristic
1341C22×C4C23×D4711yescharacteristic
1342C22×C4C23×D4711yescharacteristic
1343C22×C4C23×D4711yescharacteristic
1344C22×C4C23×D4711yescharacteristic
1345C22×C4C23×D4711yescharacteristic
1346C22×C4C23×D4711yescharacteristic
1347C22×C4C23×D4711yescharacteristic
1348C22×C4C23×D4711yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—474no—
1357C4⋊C4—474no—
1358C4⋊C4—474no—
1359C4⋊C4—942no—
1360C4⋊C4—942no—
1361C4⋊C4—942no—
1362C4⋊C4—942no—
1363C4⋊C4—942no—
1364C4⋊C4—942no—
1365C4⋊C4—942no—
1366C4⋊C4—942no—
1367C4⋊C4—942no—
1368C4⋊C4—942no—
1369C4⋊C4—942no—
1370C4⋊C4—942no—
1371C4⋊C4—942no—
1372C4⋊C4—942no—
1373C4⋊C4—942no—
1374C4⋊C4—942no—
1375C4⋊C4—942no—
1376C4⋊C4—942no—
1377C4⋊C4—942no—
1378C4⋊C4—942no—
1379C4⋊C4—942no—
1380C4⋊C4—942no—
1381C4⋊C4—1881no—
1382C4⋊C4—1881no—
1383C4⋊C4—1881no—
1384C4⋊C4—1881no—
1385C4⋊C4—1881no—
1386C4⋊C4—1881no—
1387C4⋊C4—1881no—
1388C4⋊C4—1881no—
1389C4⋊C4—1881no—
1390C4⋊C4D4×D4714yes—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—942no—
1403C22⋊C4—942no—
1404C22⋊C4—942no—
1405C22⋊C4—942no—
1406C22⋊C4—942no—
1407C22⋊C4—942no—
1408C22⋊C4—942no—
1409C22⋊C4—942no—
1410C22⋊C4—942no—
1411C22⋊C4—942no—
1412C22⋊C4—942no—
1413C22⋊C4—942no—
1414C22⋊C4—942no—
1415C22⋊C4—942no—
1416C22⋊C4—942no—
1417C22⋊C4—942no—
1418C22⋊C4—942no—
1419C22⋊C4—942no—
1420C22⋊C4—942no—
1421C22⋊C4—942no—
1422C22⋊C4—942no—
1423C22⋊C4—942no—
1424C22⋊C4—942no—
1425C22⋊C4—1881no—
1426C22⋊C4—1881no—
1427C22⋊C4—1881no—
1428C22⋊C4—1881no—
1429C42—41no—
1430C42—942no—
1431C42—942no—
1432C42—1881no—
1433C42—1881no—
1434C42—1881no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—472no—
1454C23—472no—
1455C23—472no—
1456C23—472no—
1457C23—472no—
1458C23—472no—
1459C23—948no—
1460C23—948no—
1461C23—948no—
1462C23—948no—
1463C23—948no—
1464C23—948no—
1465C23—941no—
1466C23—941no—
1467C23—941no—
1468C23—941no—
1469C23—941no—
1470C23—941no—
1471C23—941no—
1472C23—941no—
1473C23—948no—
1474C23#41×D4712yes—
1475C23#1309406912yes—
1476C23#1309407112yes—
1477C23C24×D4711yescharacteristic
1478Q8—3762no—
1479D4—44no—
1480D4—44no—
1481D4—82no—
1482D4—1884no—
1483D4—1884no—
1484D4—1884no—
1485D4—1884no—
1486C2×C4—28no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—44no—
1520C2×C4—44no—
1521C2×C4—82no—
1522C2×C4—472no—
1523C2×C4—472no—
1524C2×C4—472no—
1525C2×C4—472no—
1526C2×C4—948no—
1527C2×C4—948no—
1528C2×C4—948no—
1529C2×C4—948no—
1530C2×C4—948no—
1531C2×C4—941no—
1532C2×C4—941no—
1533C2×C4—941no—
1534C2×C4—941no—
1535C2×C4—941no—
1536C2×C4—941no—
1537C2×C4—941no—
1538C2×C4—941no—
1539C2×C4—941no—
1540C2×C4—941no—
1541C2×C4—941no—
1542C2×C4—941no—
1543C2×C4—941no—
1544C2×C4—941no—
1545C2×C4—941no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—3762no—
1570C2×C4—1884no—
1571C2×C4—1884no—
1572C2×C4—1884no—
1573C2×C4—1884no—
1574C2×C4—1884no—
1575C2×C4—1884no—
1576C2×C4—1884no—
1577C2×C4—1884no—
1578C2×C4—1884no—
1579C2×C4—1884no—
1580C2×C4C2×D4×D4712yes—
1581C2×C4C2×D4×D4712yes—
1582C2×C4C2×D4×D4712yes—
1583C2×C4#41×D4712yes—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—474no—
1605C22—474no—
1606C22—9432no—
1607C22—942no—
1608C22—942no—
1609C22—942no—
1610C22—942no—
1611C22—942no—
1612C22—942no—
1613C22—942no—
1614C22—942no—
1615C22—942no—
1616C22—942no—
1617C22—942no—
1618C22—942no—
1619C22#1568971614yescomplemented
1620C22C22×D4×D4711yescharacteristic
1621C22C2×#41×D4711yescharacteristic
1622C22C2×#41×D4711yescharacteristic
1623C22H(5,𝔽2)×D4711yescharacteristic
1624C22C2×#1309406911yescharacteristic
1625C222−1+4×D4711yescharacteristic
1626C22C2×#1309407111yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—942no—
1640C4—942no—
1641C4—942no—
1642C4—942no—
1643C4—1881no—
1644C4—1881no—
1645C4—1881no—
1646C4—1881no—
1647C4—1881no—
1648C4—1881no—
1649C4—1881no—
1650C4—1881no—
1651C4—1881no—
1652C4—1881no—
1653C2—24no—
1654C2—81no—
1655C2—81no—
1656C2—944no—
1657C2—944no—
1658C2#525×D4711yescharacteristic
1659C2#539×D4711yescharacteristic
1660C2C2×#1568971611yescharacteristic
1661C2#2025701611yescharacteristic
1662C2#2025703411yescharacteristic
1663C2#2025709011yescharacteristic
1664C2#2025709211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2443C2
prime radical#20251667C2
hypercenter#2443D47
hypocenterC47#34989
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2443

Complements

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

NH ≅ G/Ntype
1. C2×#15689716C2semidirect
2. C22×C4⋊C4×D47C2semidirect
3. #20251679C2semidirect
4. #20251679C2semidirect
5. #20251674C2semidirect
7. #20249206C2semidirect
8. #20249173C2semidirect
9. #20249167C2semidirect
10. #20249129C2semidirect
11. #20247655C2semidirect
12. #20247651C2semidirect
13. #20247648C2semidirect
14. #20247644C2semidirect
15. #20247536C2semidirect
16. #20247532C2semidirect
17. #20247527C2semidirect
18. #20247523C2semidirect
19. #20247203C2semidirect
20. #20247200C2semidirect
21. #20247196C2semidirect
22. #20247191C2semidirect
23. #20247120C2semidirect
24. #20247119C2semidirect
25. #20247116C2semidirect
26. #20246058C2semidirect
27. #20246055C2semidirect
28. #20245987C2semidirect
29. #20245893C2semidirect
30. C4×#13093992C2semidirect
31. C47×#2443C2semidirect
36. C2×#13094017C22semidirect
37. C2×#13094017C22semidirect
38. C2×#13094015C22semidirect
39. C2×#13094014C22semidirect
44. C2×#13094005C22semidirect
45. C2×#13094003C22semidirect
49. C2×#13094001C22semidirect
71. #15689065C22semidirect
72. #15689065C22semidirect
73. #15689065C22semidirect
74. #15689064C22semidirect
75. #15689063C22semidirect
76. #15689061C22semidirect
77. #15689059C22semidirect
78. #15689059C22semidirect
79. #15689059C22semidirect
80. #15689056C22semidirect
81. #15689056C22semidirect
82. #15689056C22semidirect
83. #15689056C22semidirect
84. #15689055C22semidirect
85. #15689055C22semidirect
86. #15689054C22semidirect
87. #15689053C22semidirect
88. #15689053C22semidirect
89. #15689051C22semidirect
90. #15689051C22semidirect
91. #15689048C22semidirect
92. #15689046C22semidirect
93. #15689046C22semidirect
94. #15689046C22semidirect
95. #15689046C22semidirect
96. #15689044C22semidirect
97. #15689043C22semidirect
98. #15689037C22semidirect
99. #15689021C22semidirect
100. #15689020C22semidirect
101. #15689019C22semidirect
102. #15689018C22semidirect
103. #15689017C22semidirect
104. #15689016C22semidirect
105. #15689011C22semidirect
106. #15689010C22semidirect
107. #15689010C22semidirect
108. #15689009C22semidirect
109. #15689008C22semidirect
110. #15689008C22semidirect
111. #15689007C22semidirect
112. #15689006C22semidirect
113. #15689006C22semidirect
114. #15689005C22semidirect
115. #15689004C22semidirect
116. #15689004C22semidirect
136. #15688998C22semidirect
149. #15688996C22semidirect
151. #15688995C22semidirect
174. C2×#123×C47C22semidirect
178. C47×#399C22semidirect
179. C47×#398C22semidirect
180. C47×#397C22semidirect
181. C47×#394C22semidirect
182. C47×#388C22semidirect
183. C47×#387C22semidirect
188. C47×#385C22semidirect
287. C4⋊C4×D47D4semidirect
772. C22×C47#539semidirect
794. C2×D47#539semidirect
846. #2443D47semidirect
877. C2×#123C2×D47semidirect
916. #399C2×D47semidirect
926. #398C2×D47semidirect
930. #397C2×D47semidirect
938. #394C2×D47semidirect
946. #388C2×D47semidirect
958. #387C2×D47semidirect
1002. #385C2×D47semidirect
1021. C47#34989semidirect
1619. C22#15689716semidirect

Maximal subgroups

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

subgroupindex
C2×#156897162
C22×C4⋊C4×D472
#202516792
#202516742
#202516672
#202492062
#202491732
#202491672
#202491292
#202476552
#202476512
#202476482
#202476442
#202475362
#202475322
#202475272
#202475232
#202472032
#202472002
#202471962
#202471912
#202471202
#202471192
#202471162
#202460582
#202460552
#202459872
#202458932
C4×#130939922
C47×#24432
#3498947