Finite Group Databasebeta

← #26388835

Subgroups — #26388835

Order 12032.

3038 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689683C211yesmaximal, characteristic
2C2×C4×D4×D47C211yesmaximal, characteristic, complemented
3#20251708C211yesmaximal, characteristic, complemented
4#20251708C211yesmaximal, characteristic, complemented
5#20251679C211yesmaximal, characteristic, complemented
6#20251677C211yesmaximal, characteristic, complemented
7#20249173C211yesmaximal, characteristic, complemented
8#20249167C211yesmaximal, characteristic, complemented
9#20249160C211yesmaximal, characteristic, complemented
10#20249160C211yesmaximal, characteristic, complemented
11#20247145C211yesmaximal, characteristic, complemented
12#20247141C211yesmaximal, characteristic, complemented
13#20247135C211yesmaximal, characteristic, complemented
14#20247131C211yesmaximal, characteristic, complemented
15#20247130C211yesmaximal, characteristic, complemented
16#20247126C211yesmaximal, characteristic, complemented
17#20247120C211yesmaximal, characteristic, complemented
18#20247116C211yesmaximal, characteristic, complemented
19#20246871C211yesmaximal, characteristic, complemented
20#20246867C211yesmaximal, characteristic, complemented
21#20246863C211yesmaximal, characteristic, complemented
22#20246859C211yesmaximal, characteristic, complemented
23#20246854C211yesmaximal, characteristic, complemented
24#20246850C211yesmaximal, characteristic, complemented
25#20246846C211yesmaximal, characteristic, complemented
26#20246001C211yesmaximal, characteristic, complemented
27#20245964C211yesmaximal, characteristic, complemented
28#20245962C211yesmaximal, characteristic, complemented
29C2×#15688999C211yesmaximal, characteristic, complemented
30#385×D47C211yesmaximal, characteristic, complemented
31C47×#2418C211yesmaximal, characteristic, complemented
32C23×C22⋊D47C2211yescharacteristic
33C22×D4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35C23×C4×D47C2211yescharacteristic, complemented
36#15689683—28no—
37C2×#13094008C2211yescharacteristic
38C2×#13094006C2211yescharacteristic
39C2×#13094006C2211yescharacteristic
40C2×#13094006C2211yescharacteristic, complemented
41C2×#13094006C2211yescharacteristic, complemented
42C2×#13094005C2211yescharacteristic
43C2×#13094005C2211yescharacteristic, complemented
44C2×#13093997C2211yescharacteristic
45C2×#13093997C2211yescharacteristic
46C2×#13093995C2211yescharacteristic
47C2×#13093995C2211yescharacteristic
48C2×#13093993C2211yescharacteristic
49C2×#13093992C2211yescharacteristic
50C2×#13093992C2211yescharacteristic
51C2×C4×D188C2211yescharacteristic, complemented
52C2×D4×Dic47C2211yescharacteristic
53C2×#13093986C2211yescharacteristic, complemented
54C2×C4×C22⋊D47C2211yescharacteristic
55C2×C4×C22⋊D47C2211yescharacteristic, complemented
56C2×(C22⋊D47)⋊C4C2211yescharacteristic
57C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
58C4×D4×D47—28no—
59C2×C4⋊C4×D47C2211yescharacteristic, complemented
60C2×C4⋊C4×D47C2211yescharacteristic, complemented
61C2×C4⋊C4×D47C2211yescharacteristic, complemented
62C22×C22⋊Dic47C2211yescharacteristic, complemented
63C22×(C2×D47)⋊C4C2211yescharacteristic
64C2×C22⋊C4×D47C2211yescharacteristic
65C2×C22⋊C4×D47C2211yescharacteristic
66C2×C22⋊C4×D47C2211yescharacteristic
67C2×C22⋊C4×D47C2211yescharacteristic, complemented
68C2×C42×D47C2211yescharacteristic, complemented
69#15689065C2211yescharacteristic, complemented
70#15689065C2211yescharacteristic, complemented
71#15689063C2211yescharacteristic, complemented
72#15689061C2211yescharacteristic, complemented
73#15689059C2211yescharacteristic, complemented
74#15689059C2211yescharacteristic, complemented
75#15689059C2211yescharacteristic, complemented
76#15689056C2211yescharacteristic, complemented
77#15689056C2211yescharacteristic, complemented
78#15689055C2211yescharacteristic, complemented
79#15689054C2211yescharacteristic, complemented
80#15689052C2211yescharacteristic, complemented
81#15689052C2211yescharacteristic, complemented
82#15689051C2211yescharacteristic, complemented
83#15689051C2211yescharacteristic, complemented
84#15689051C2211yescharacteristic, complemented
85#15689051C2211yescharacteristic, complemented
86#15689049C2211yescharacteristic, complemented
87#15689049C2211yescharacteristic, complemented
88#15689048C2211yescharacteristic, complemented
89#15689048C2211yescharacteristic, complemented
90#15689048C2211yescharacteristic, complemented
91#15689039C2211yescharacteristic, complemented
92#15689039C2211yescharacteristic, complemented
93#15689038C2211yescharacteristic, complemented
94#15689038C2211yescharacteristic, complemented
95#15689037C2211yescharacteristic, complemented
96#15689037C2211yescharacteristic, complemented
97#15689017C2211yescharacteristic, complemented
98#15689017C2211yescharacteristic, complemented
99#15689016C2211yescharacteristic, complemented
100#15689016C2211yescharacteristic, complemented
101#15689011C2211yescharacteristic, complemented
102#15689011C2211yescharacteristic, complemented
103#15689010C2211yescharacteristic, complemented
104#15689010C2211yescharacteristic, complemented
105#15689009C2211yescharacteristic, complemented
106#15689009C2211yescharacteristic, complemented
107#15689008C2211yescharacteristic, complemented
108#15689008C2211yescharacteristic, complemented
109#15689007C2211yescharacteristic, complemented
110#15689007C2211yescharacteristic, complemented
111#15689003C2211yescharacteristic
112#15689003C2211yescharacteristic, complemented
113#15689002C2211yescharacteristic
114#15689001C2211yescharacteristic, complemented
115#15689001C2211yescharacteristic, complemented
116#15689000C2211yescharacteristic
117#15688999C2211yescharacteristic
118#15688999C2211yescharacteristic
119#15688999C2211yescharacteristic
120#15688999C2211yescharacteristic
121#15688999C2211yescharacteristic
122#15688999C2211yescharacteristic
123#15688999C2211yescharacteristic
124#15688999C2211yescharacteristic
125#15688999C2211yescharacteristic, complemented
126#15688999C2211yescharacteristic, complemented
127#15688999C2211yescharacteristic, complemented
128#15688999C2211yescharacteristic, complemented
129#15688999C2211yescharacteristic, complemented
130#15688999C2211yescharacteristic, complemented
131#15688999C2211yescharacteristic, complemented
132#15688999C2211yescharacteristic, complemented
133#15688999C2211yescharacteristic, complemented
134#15688999C2211yescharacteristic, complemented
135#15688999C2211yescharacteristic, complemented
136#15688999C2211yescharacteristic, complemented
137#15688998C2211yescharacteristic, complemented
138#15688998C2211yescharacteristic, complemented
139#15688997C2211yescharacteristic, complemented
140#15688997C2211yescharacteristic, complemented
141#15688997C2211yescharacteristic, complemented
142#15688997C2211yescharacteristic, complemented
143#15688997C2211yescharacteristic, complemented
144#15688997C2211yescharacteristic, complemented
145#15688996C2211yescharacteristic, complemented
146#15688996C2211yescharacteristic, complemented
147#15688995C2211yescharacteristic, complemented
148#15688994C2211yescharacteristic, complemented
149#15688994C2211yescharacteristic, complemented
150#15688994C2211yescharacteristic, complemented
151#15688994C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic, complemented
153#15688994C2211yescharacteristic, complemented
154#15688994C2211yescharacteristic, complemented
155#15688994C2211yescharacteristic, complemented
156#15688986C2211yescharacteristic, complemented
157#15688985C2211yescharacteristic, complemented
158#15688985C2211yescharacteristic, complemented
159#15688985C2211yescharacteristic, complemented
160#15688985C2211yescharacteristic, complemented
161#15688984C2211yescharacteristic, complemented
162#15688984C2211yescharacteristic, complemented
163#15688984C2211yescharacteristic, complemented
164#15688983C2211yescharacteristic, complemented
165#15688981C2211yescharacteristic, complemented
166#15688981C2211yescharacteristic, complemented
167#15688979C2211yescharacteristic, complemented
168#15688978C2211yescharacteristic, complemented
169#15688978C2211yescharacteristic, complemented
170C2×C47⋊#95C2211yescharacteristic, complemented
171C2×C47⋊#95C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic, complemented
173#95×D47C2211yescharacteristic, complemented
174C2×#123×C47C2211yescharacteristic, complemented
175C2×#120×C47C2211yescharacteristic
176C2×C4×D4×C47C2211yescharacteristic
177C22×C22⋊C4×C47C2211yescharacteristic, complemented
178C47×#399C2211yescharacteristic, complemented
179C47×#397C2211yescharacteristic, complemented
180C47×#394C2211yescharacteristic, complemented
181C47×#394C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic, complemented
186C47×#385C2211yescharacteristic, complemented
187C47×#380C2211yescharacteristic, complemented
188C47×#379C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×C22⋊D47—24no—
193C22×C22⋊D47—24no—
194C22×C22⋊D47—24no—
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C2×D4×D47—24no—
204C2×D4×D47—24no—
205C2×D4×D47D418yes—
206C23×Dic47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C22×C4×D47—24no—
211C22×C4×D47—24no—
212C22×C4×D47—42no—
213C22×C4×D47—42no—
214C22×C4×D47—42no—
215C22×C4×D47—42no—
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226C22×C4×D47C2311yescharacteristic
227C22×C4×D47C2311yescharacteristic
228C22×C4×D47C2311yescharacteristic
229#13094008—24no—
230#13094006—24no—
231#13094006—24no—
232#13094006—42no—
233#13094006—42no—
234#13094005—24no—
235#13094005—42no—
236#13093997—24no—
237#13093997—24no—
238#13093995—24no—
239#13093995—24no—
240#13093993—24no—
241#13093992—24no—
242#13093992—24no—
243C4×D188—24no—
244D4×Dic47—24no—
245#13093986—24no—
246C4×C22⋊D47—24no—
247C4×C22⋊D47—24no—
248(C22⋊D47)⋊C4—24no—
249(C22⋊D47)⋊C4—24no—
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C4⋊C4×D47—24no—
270C4⋊C4×D47—42no—
271C4⋊C4×D47—42no—
272C2×C22⋊Dic47—42no—
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×(C2×D47)⋊C4—24no—
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C22⋊C4×D47—24no—
311C22⋊C4×D47—24no—
312C22⋊C4×D47—24no—
313C22⋊C4×D47—24no—
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C42×D47—24no—
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C25×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359#123×C47—42no—
360#120×C47—24no—
361C4×D4×C47—24no—
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47—42no—
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C22⋊C4×C47C2311yescharacteristic
383C2×C22⋊C4×C47C2311yescharacteristic
384C2×C42×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47—22no—
392C24×C47—22no—
393C24×C47—22no—
394C24×C47—41no—
395C24×C47—41no—
396C24×C47—41no—
397C24×C47—41no—
398C24×C47C2411yescharacteristic
399C24×C47C2411yescharacteristic
400C24×C47C2411yescharacteristic
401C24×C47C2411yescharacteristic
402C23×D47—22no—
403C23×D47—22no—
404C23×D47—41no—
405C23×D47—41no—
406C23×D47—41no—
407C23×D47—41no—
408C23×D47—41no—
409C23×D47—41no—
410C23×D47—41no—
411C23×D47—41no—
412C23×D47C2×D414yes—
413C23×D47C2×D414yes—
414C23×D47#4114yes—
415C23×D47#4114yes—
416C23×D47C2411yescharacteristic
417C23×D47C2411yescharacteristic
418C23×D47C2411yescharacteristic
419C2×D4×C47—22no—
420C2×D4×C47—22no—
421C2×D4×C47—22no—
422C2×D4×C47—22no—
423C2×D4×C47—41no—
424C2×D4×C47—41no—
425C2×D4×C47—41no—
426C2×D4×C47—41no—
427C2×D4×C47C2×D414yes—
428C22×C4×C47—22no—
429C22×C4×C47—22no—
430C22×C4×C47—22no—
431C22×C4×C47—22no—
432C22×C4×C47—22no—
433C22×C4×C47—41no—
434C22×C4×C47—41no—
435C22×C4×C47—41no—
436C22×C4×C47—41no—
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C2×C22⋊D47—22no—
449C2×C22⋊D47—22no—
450C2×C22⋊D47—22no—
451C2×C22⋊D47—22no—
452C2×C22⋊D47—22no—
453C2×C22⋊D47—22no—
454C2×C22⋊D47—22no—
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—22no—
463C2×C22⋊D47—22no—
464C2×C22⋊D47—22no—
465C2×C22⋊D47—22no—
466C2×C22⋊D47—41no—
467C2×C22⋊D47—41no—
468C2×C22⋊D47—41no—
469C2×C22⋊D47—41no—
470C2×C22⋊D47—416no—
471C2×C22⋊D47C2×D414yes—
472C2×C22⋊D47C2×D414yes—
473C22×Dic47—22no—
474C22×Dic47—22no—
475C22×Dic47—22no—
476C22×Dic47—22no—
477C22×Dic47—22no—
478C22×Dic47—22no—
479C22×Dic47—22no—
480C22×Dic47—22no—
481C22×Dic47—41no—
482C22×Dic47—41no—
483C22×Dic47—41no—
484C22×Dic47—41no—
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487C22×Dic47C2411yescharacteristic
488C22×Dic47C2411yescharacteristic
489C22×Dic47C2411yescharacteristic
490C22×Dic47C2411yescharacteristic
491C22×Dic47C2411yescharacteristic
492C22×Dic47C2411yescharacteristic
493C22×Dic47C2411yescharacteristic
494C22×Dic47C2411yescharacteristic
495C22×Dic47C2411yescharacteristic
496C22×Dic47C2411yescharacteristic
497C22×Dic47C2411yescharacteristic
498D4×D47—232no—
499C2×D188—22no—
500C2×D188—22no—
501C2×D188C2×D414yes—
502C2×C4×D47—22no—
503C2×C4×D47—22no—
504C2×C4×D47—22no—
505C2×C4×D47—22no—
506C2×C4×D47—22no—
507C2×C4×D47—22no—
508C2×C4×D47—22no—
509C2×C4×D47—22no—
510C2×C4×D47—22no—
511C2×C4×D47—22no—
512C2×C4×D47—22no—
513C2×C4×D47—22no—
514C2×C4×D47—22no—
515C2×C4×D47—22no—
516C2×C4×D47—22no—
517C2×C4×D47—22no—
518C2×C4×D47—22no—
519C2×C4×D47—22no—
520C2×C4×D47—22no—
521C2×C4×D47—22no—
522C2×C4×D47—416no—
523C2×C4×D47—416no—
524C2×C4×D47—41no—
525C2×C4×D47—41no—
526C2×C4×D47—41no—
527C2×C4×D47—41no—
528C2×C4×D47—41no—
529C2×C4×D47—41no—
530C2×C4×D47—41no—
531C2×C4×D47—41no—
532C2×C4×D47—41no—
533C2×C4×D47—41no—
534C2×C4×D47—41no—
535C2×C4×D47—41no—
536C2×C4×D47—41no—
537C2×C4×D47—41no—
538C2×C4×D47—41no—
539C2×C4×D47—41no—
540C2×C4×D47—41no—
541C2×C4×D47—41no—
542C2×C4×D47C2×D414yes—
543C4⋊C4×C47—22no—
544C4⋊C4×C47—22no—
545C4⋊C4×C47—41no—
546C4⋊C4×C47—41no—
547C4⋊C4×C47—41no—
548C22⋊C4×C47—22no—
549C22⋊C4×C47—22no—
550C22⋊C4×C47—22no—
551C22⋊C4×C47—22no—
552C22⋊C4×C47—22no—
553C22⋊C4×C47—22no—
554C22⋊C4×C47—22no—
555C22⋊C4×C47—22no—
556C22⋊C4×C47—41no—
557C22⋊C4×C47—41no—
558C22⋊C4×C47—41no—
559C22⋊C4×C47—41no—
560C22⋊C4×C47—41no—
561C22⋊C4×C47—41no—
562C22⋊C4×C47—41no—
563C22⋊C4×C47—41no—
564C42×C47—22no—
565C22⋊Dic47—22no—
566C22⋊Dic47—22no—
567C22⋊Dic47—22no—
568C22⋊Dic47—22no—
569C22⋊Dic47—22no—
570C22⋊Dic47—22no—
571C22⋊Dic47—22no—
572C22⋊Dic47—22no—
573C22⋊Dic47—22no—
574C22⋊Dic47—22no—
575C22⋊Dic47—41no—
576C22⋊Dic47—41no—
577C22⋊Dic47—41no—
578C22⋊Dic47—41no—
579C22⋊Dic47—41no—
580C22⋊Dic47—41no—
581C22⋊Dic47—41no—
582C22⋊Dic47—41no—
583(C2×D47)⋊C4—22no—
584(C2×D47)⋊C4—22no—
585(C2×D47)⋊C4—22no—
586(C2×D47)⋊C4—22no—
587(C2×D47)⋊C4—22no—
588(C2×D47)⋊C4—22no—
589(C2×D47)⋊C4—22no—
590(C2×D47)⋊C4—22no—
591(C2×D47)⋊C4—22no—
592(C2×D47)⋊C4—22no—
593(C2×D47)⋊C4—22no—
594(C2×D47)⋊C4—22no—
595(C2×D47)⋊C4—22no—
596(C2×D47)⋊C4—22no—
597(C2×D47)⋊C4—41no—
598(C2×D47)⋊C4—41no—
599(C2×D47)⋊C4—41no—
600(C2×D47)⋊C4—41no—
601C4⋊Dic47—22no—
602C4⋊Dic47—22no—
603C4⋊Dic47—22no—
604C4⋊Dic47—22no—
605C4⋊Dic47—41no—
606C4⋊Dic47—41no—
607C4⋊Dic47—41no—
608Dic47⋊C4—22no—
609Dic47⋊C4—22no—
610Dic47⋊C4—22no—
611Dic47⋊C4—22no—
612Dic47⋊C4—22no—
613Dic47⋊C4—22no—
614Dic47⋊C4—41no—
615Dic47⋊C4—41no—
616Dic47⋊C4—41no—
617Dic47⋊C4—41no—
618Dic47⋊C4—41no—
619Dic47⋊C4—41no—
620C4×Dic47—22no—
621C4×Dic47—22no—
622C4×Dic47—22no—
623C23×C47—21no—
624C23×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47—21no—
630C23×C47—21no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—21no—
638C23×C47—21no—
639C23×C47—21no—
640C23×C47—21no—
641C23×C47—21no—
642C23×C47—21no—
643C23×C47—21no—
644C23×C47—21no—
645C23×C47—21no—
646C23×C47—21no—
647C23×C47—44no—
648C23×C47—44no—
649C23×C47—44no—
650C23×C47—82no—
651C23×C47—82no—
652C23×C47—82no—
653C23×C47—82no—
654C23×C47C22×D412yes—
655C23×C47C22×D412yes—
656C23×C47C2×#4112yes—
657C23×C47C2×#4112yes—
658C23×C47C2511yescharacteristic
659C22×D47—21no—
660C22×D47—21no—
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—21no—
671C22×D47—21no—
672C22×D47—21no—
673C22×D47—28no—
674C22×D47—44no—
675C22×D47—44no—
676C22×D47—44no—
677C22×D47—44no—
678C22×D47—44no—
679C22×D47—44no—
680C22×D47—44no—
681C22×D47—44no—
682C22×D47—44no—
683C22×D47—44no—
684C22×D47—44no—
685C22×D47—44no—
686C22×D47#123116yescomplemented
687C22×D47C22×D412yes—
688C22×D47C22×D412yes—
689C22×D47C22×D412yes—
690C22×D47C2×#4112yes—
691C22×D47C2×#4112yes—
692C22×D47C2×#4112yes—
693C22×D47C2×#4112yes—
694D4×C47—28no—
695D4×C47—82no—
696D4×C47—82no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—21no—
727C2×C4×C47—21no—
728C2×C4×C47—44no—
729C2×C4×C47—44no—
730C2×C4×C47—82no—
731C2×C4×C47C22×D412yes—
732C2×C4×C47H(5,𝔽2)12yes—
733C22⋊D47—28no—
734C22⋊D47—28no—
735C22⋊D47—44no—
736C22⋊D47—44no—
737C22⋊D47—44no—
738C22⋊D47—44no—
739C22⋊D47—82no—
740C22⋊D47—82no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—44no—
779C2×Dic47—44no—
780C2×Dic47—44no—
781C2×Dic47—82no—
782C2×Dic47C22×D412yes—
783C2×Dic47H(5,𝔽2)12yes—
784D188—28no—
785C4×D47—28no—
786C4×D47—28no—
787C4×D47—44no—
788C4×D47—44no—
789C4×D47—44no—
790C4×D47—44no—
791C4×D47—44no—
792C4×D47—44no—
793C4×D47—44no—
794C4×D47—44no—
795C4×D47—44no—
796C4×D47—82no—
797C4×D47—82no—
798#34983—471nomaximal, Sylow
799C22×C47—22no—
800C22×C47—22no—
801C22×C47—22no—
802C22×C47—22no—
803C22×C47—22no—
804C22×C47—22no—
805C22×C47—22no—
806C22×C47—22no—
807C22×C47—22no—
808C22×C47—41no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47—41no—
813C22×C47—41no—
814C22×C47—41no—
815C22×C47—41no—
816C22×C47—41no—
817C22×C47—41no—
818C22×C47—41no—
819C22×C47—41no—
820C22×C47—41no—
821C22×C47—41no—
822C22×C47—41no—
823C22×C47—41no—
824C22×C47—41no—
825C22×C47—41no—
826C22×C47—88no—
827C22×C47C2×#12314yes—
828C22×C47C23×D411yescharacteristic
829C22×C47C22×#4111yescharacteristic
830C22×C47C22×#4111yescharacteristic
831C22×C47C2×H(5,𝔽2)11yescharacteristic
832C22×C47C2×H(5,𝔽2)11yescharacteristic
833C22×C47#58511yescharacteristic
834C22×C47#58511yescharacteristic
835C2×D47—22no—
836C2×D47—22no—
837C2×D47—22no—
838C2×D47—22no—
839C2×D47—22no—
840C2×D47—22no—
841C2×D47—22no—
842C2×D47—22no—
843C2×D47—22no—
844C2×D47—22no—
845C2×D47—22no—
846C2×D47—22no—
847C2×D47—22no—
848C2×D47—22no—
849C2×D47—22no—
850C2×D47—416no—
851C2×D47—416no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47C2×#12314yes—
857C2×D47C2×#12314yes—
858C4×C47—22no—
859C4×C47—22no—
860C4×C47—41no—
861C4×C47—41no—
862C4×C47—41no—
863C4×C47—41no—
864C4×C47—41no—
865C4×C47—41no—
866C4×C47—41no—
867C4×C47—41no—
868C4×C47—41no—
869Dic47—22no—
870Dic47—22no—
871Dic47—41no—
872Dic47—41no—
873Dic47—41no—
874Dic47—41no—
875Dic47—41no—
876Dic47—41no—
877Dic47—41no—
878Dic47—41no—
879Dic47—41no—
880Dic47—41no—
881Dic47—41no—
882C2×#534—471no—
883C22×C4×D4—471no—
884#2853—471no—
885#2853—471no—
886#2849—471no—
887#2849—471no—
888#2623—471no—
889#2623—471no—
890#2622—471no—
891#2622—471no—
892#2444—471no—
893#2444—471no—
894#2444—471no—
895#2444—471no—
896#2443—471no—
897#2443—471no—
898#2443—471no—
899#2443—471no—
900#2419—471no—
901#2419—471no—
902#2419—471no—
903#2419—471no—
904#2418—471no—
905#2418—471no—
906#2418—471no—
907#2418D4711yescharacteristic, complemented
908#2315—471no—
909#2308—471no—
910#2308—471no—
911C2×#386—471no—
912C2×#385—471no—
913C2×C47—24no—
914C2×C47—42no—
915C2×C47—81no—
916C2×C47—81no—
917C2×C47C22×#12311yescharacteristic
918C2×C47#345911yescharacteristic
919C2×C47#345911yescharacteristic
920C2×C47#348411yescharacteristic
921C2×C47#348511yescharacteristic
922C2×C47#350511yescharacteristic
923C2×C47#350511yescharacteristic
924D47—24no—
925D47—24no—
926D47—42no—
927C23×D4—471no—
928C23×D4—471no—
929C24×C4—471no—
930C24×C4—471no—
931#534—948no—
932C2×#123—471no—
933C2×#123—471no—
934C2×#123—471no—
935C2×#123—471no—
936C2×#123—471no—
937C2×#123—471no—
938C2×#123—471no—
939C2×#123C2×D4711yescharacteristic, complemented
940C2×#121—471no—
941C2×#121—471no—
942C2×#121—471no—
943C2×#121—471no—
944C2×#120—471no—
945C2×#120—471no—
946C2×#120—471no—
947C2×#120C2×D4711yescharacteristic
948C2×C4×D4—471no—
949C2×C4×D4—471no—
950C2×C4×D4—471no—
951C2×C4×D4—471no—
952C2×C4×D4—471no—
953C2×C4×D4—471no—
954C2×C4×D4—471no—
955C2×C4×D4—948no—
956C2×C4×D4C2×D4711yescharacteristic
957C22×C4⋊C4—471no—
958C22×C4⋊C4—471no—
959C22×C4⋊C4—471no—
960C22×C22⋊C4—471no—
961C22×C22⋊C4—471no—
962C22×C22⋊C4—471no—
963C22×C22⋊C4—471no—
964C22×C22⋊C4—471no—
965C22×C22⋊C4—471no—
966C22×C22⋊C4C2×D4711yescharacteristic, complemented
967C22×C42—471no—
968#400—471no—
969#400—471no—
970#400—471no—
971#400—471no—
972#399—471no—
973#399—471no—
974#399—471no—
975#399C2×D4711yescharacteristic, complemented
976#398—471no—
977#398—471no—
978#398—471no—
979#398—471no—
980#397—471no—
981#397—471no—
982#397—471no—
983#397—471no—
984#397—471no—
985#397—471no—
986#397—471no—
987#397—471no—
988#397—471no—
989#397—471no—
990#397—471no—
991#397C2×D4711yescharacteristic, complemented
992#394—471no—
993#394—471no—
994#394—471no—
995#394—471no—
996#394—471no—
997#394—471no—
998#394C2×D4711yescharacteristic, complemented
999#394C2×D4711yescharacteristic, complemented
1000#388—471no—
1001#388—471no—
1002#388—471no—
1003#388—471no—
1004#388—471no—
1005#388—471no—
1006#388C2×D4711yescharacteristic, complemented
1007#388C2×D4711yescharacteristic, complemented
1008#387—471no—
1009#387—471no—
1010#387—471no—
1011#387—471no—
1012#387—471no—
1013#387—471no—
1014#387—471no—
1015#387—471no—
1016#386—471no—
1017#386—471no—
1018#386—471no—
1019#386—471no—
1020#386—471no—
1021#386—471no—
1022#386—471no—
1023#386—471no—
1024#386—471no—
1025#386—471no—
1026#386—471no—
1027#386—471no—
1028#386—471no—
1029#386—471no—
1030#386—471no—
1031#386—471no—
1032#386—471no—
1033#386—471no—
1034#386—471no—
1035#386—471no—
1036#386—471no—
1037#386—471no—
1038#386—471no—
1039#386—471no—
1040#386—471no—
1041#386—471no—
1042#386C2×D4711yescharacteristic
1043#386C2×D4711yescharacteristic, complemented
1044#385—471no—
1045#385—471no—
1046#385—471no—
1047#385—471no—
1048#385—471no—
1049#385—471no—
1050#385—471no—
1051#385—471no—
1052#385—471no—
1053#385—471no—
1054#385—471no—
1055#385—471no—
1056#385—471no—
1057#385—471no—
1058#385—471no—
1059#385—471no—
1060#385—471no—
1061#385—471no—
1062#385—471no—
1063#385C2×D4711yescharacteristic, complemented
1064#381—471no—
1065#381—471no—
1066#381—471no—
1067#381—471no—
1068#381—471no—
1069#381—471no—
1070#381—471no—
1071#381—471no—
1072#380—471no—
1073#380—471no—
1074#380—471no—
1075#380C2×D4711yescharacteristic, complemented
1076#379—471no—
1077#379—471no—
1078#379—471no—
1079#379C2×D4711yescharacteristic, complemented
1080C2×#95—471no—
1081C2×#95—471no—
1082C2×#95—471no—
1083C2×#95—471no—
1084C47#3498311yescharacteristic, complemented, Sylow
1085C25—471no—
1086C25—471no—
1087C25C22×D4711yescharacteristic
1088C22×D4—471no—
1089C22×D4—471no—
1090C22×D4—478no—
1091C22×D4—471no—
1092C22×D4—471no—
1093C22×D4—471no—
1094C22×D4—471no—
1095C22×D4—471no—
1096C22×D4—471no—
1097C22×D4—471no—
1098C22×D4—944no—
1099C22×D4—944no—
1100C22×D4—944no—
1101C22×D4—944no—
1102C22×D4—944no—
1103C22×D4C22×D4711yescharacteristic
1104C22×D4C22×D4711yescharacteristic
1105C22×D4C22×D4711yescharacteristic
1106C23×C4—471no—
1107C23×C4—471no—
1108C23×C4—471no—
1109C23×C4—471no—
1110C23×C4—471no—
1111C23×C4—471no—
1112C23×C4—471no—
1113C23×C4—471no—
1114C23×C4—471no—
1115C23×C4—471no—
1116C23×C4—471no—
1117C23×C4—471no—
1118C23×C4—471no—
1119C23×C4—471no—
1120C23×C4—471no—
1121C23×C4—471no—
1122C23×C4—471no—
1123C23×C4—944no—
1124C23×C4—944no—
1125C23×C4—1882no—
1126C23×C4—1882no—
1127C23×C4—1882no—
1128C23×C4—1882no—
1129C23×C4C22×D4711yescharacteristic
1130C23×C4C22×D4711yescharacteristic
1131C23×C4C22×D4711yescharacteristic
1132#123—42no—
1133#123—944no—
1134#123—944no—
1135#123—944no—
1136#123—944no—
1137#123—1882no—
1138#123—1882no—
1139#123—1882no—
1140#121—944no—
1141#121—944no—
1142#121—944no—
1143#121—944no—
1144#120—24no—
1145#120—944no—
1146#120—944no—
1147#120—944no—
1148C4×D4—24no—
1149C4×D4—944no—
1150C4×D4—944no—
1151C4×D4—944no—
1152C4×D4—944no—
1153C4×D4—944no—
1154C4×D4—944no—
1155C4×D4—944no—
1156C2×C4⋊C4—471no—
1157C2×C4⋊C4—471no—
1158C2×C4⋊C4—471no—
1159C2×C4⋊C4—471no—
1160C2×C4⋊C4—471no—
1161C2×C4⋊C4—471no—
1162C2×C4⋊C4—471no—
1163C2×C4⋊C4—471no—
1164C2×C4⋊C4—471no—
1165C2×C4⋊C4—471no—
1166C2×C4⋊C4—471no—
1167C2×C4⋊C4—471no—
1168C2×C4⋊C4—471no—
1169C2×C4⋊C4—471no—
1170C2×C4⋊C4—471no—
1171C2×C4⋊C4—471no—
1172C2×C4⋊C4—471no—
1173C2×C4⋊C4—471no—
1174C2×C4⋊C4—471no—
1175C2×C4⋊C4—944no—
1176C2×C4⋊C4—1882no—
1177C2×C4⋊C4—1882no—
1178C2×C4⋊C4C22×D4711yescharacteristic
1179C2×C4⋊C4C22×D4711yescharacteristic
1180C2×C4⋊C4C22×D4711yescharacteristic
1181C2×C4⋊C4C22×D4711yescharacteristic
1182C2×C4⋊C4C22×D4711yescharacteristic
1183C2×C22⋊C4—42no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—471no—
1193C2×C22⋊C4—471no—
1194C2×C22⋊C4—471no—
1195C2×C22⋊C4—471no—
1196C2×C22⋊C4—471no—
1197C2×C22⋊C4—471no—
1198C2×C22⋊C4—471no—
1199C2×C22⋊C4—471no—
1200C2×C22⋊C4—471no—
1201C2×C22⋊C4—471no—
1202C2×C22⋊C4—471no—
1203C2×C22⋊C4—471no—
1204C2×C22⋊C4—471no—
1205C2×C22⋊C4—471no—
1206C2×C22⋊C4—471no—
1207C2×C22⋊C4—471no—
1208C2×C22⋊C4—471no—
1209C2×C22⋊C4—471no—
1210C2×C22⋊C4—471no—
1211C2×C22⋊C4—471no—
1212C2×C22⋊C4—471no—
1213C2×C22⋊C4—471no—
1214C2×C22⋊C4—471no—
1215C2×C22⋊C4—471no—
1216C2×C22⋊C4—471no—
1217C2×C22⋊C4—471no—
1218C2×C22⋊C4—471no—
1219C2×C22⋊C4—471no—
1220C2×C22⋊C4—944no—
1221C2×C22⋊C4—944no—
1222C2×C22⋊C4—944no—
1223C2×C22⋊C4—944no—
1224C2×C22⋊C4—944no—
1225C2×C22⋊C4—1882no—
1226C2×C22⋊C4C22×D4711yescharacteristic
1227C2×C22⋊C4C22×D4711yescharacteristic
1228C2×C22⋊C4C22×D4711yescharacteristic
1229C2×C22⋊C4C22×D4711yescharacteristic
1230C2×C22⋊C4C22×D4711yescharacteristic
1231C2×C22⋊C4C22×D4711yescharacteristic
1232C2×C22⋊C4C22×D4711yescharacteristic
1233C2×C22⋊C4C22×D4711yescharacteristic
1234C2×C22⋊C4C22×D4711yescharacteristic
1235C2×C22⋊C4C22×D4711yescharacteristic
1236C2×C22⋊C4C22×D4711yescharacteristic
1237C2×C22⋊C4C22×D4711yescharacteristic
1238C2×C22⋊C4C22×D4711yescharacteristic
1239C2×C22⋊C4C22×D4711yescharacteristic
1240C2×C22⋊C4C22×D4711yescharacteristic
1241C2×C22⋊C4C22×D4711yescharacteristic
1242C2×C42—471no—
1243C2×C42—471no—
1244C2×C42—471no—
1245C2×C42—944no—
1246C2×C42C22×D4711yescharacteristic
1247#95—471no—
1248#95—471no—
1249#95—471no—
1250#95—471no—
1251#95—471no—
1252#95—471no—
1253#95—471no—
1254#95—471no—
1255#95—471no—
1256#95—471no—
1257#95—471no—
1258#95—471no—
1259#95—471no—
1260#95—471no—
1261#95—471no—
1262#95—471no—
1263#95—471no—
1264#95—471no—
1265#95—471no—
1266#95—471no—
1267#95—471no—
1268#95—471no—
1269#95—471no—
1270#95—471no—
1271#95—471no—
1272#95—471no—
1273#95—471no—
1274#95—471no—
1275#95—471no—
1276#95—471no—
1277#95—471no—
1278#95—471no—
1279#95—471no—
1280#95—471no—
1281#95C22×D4711yescharacteristic
1282#95C22×D4711yescharacteristic
1283#95C22×D4711yescharacteristic
1284#95C22×D4711yescharacteristic
1285#95C22×D4711yescharacteristic
1286#95C22×D4711yescharacteristic
1287C24—22no—
1288C24—22no—
1289C24—22no—
1290C24—41no—
1291C24—41no—
1292C24—41no—
1293C24—41no—
1294C24—471no—
1295C24—471no—
1296C24—474no—
1297C24—474no—
1298C24—474no—
1299C24—471no—
1300C24—474no—
1301C24—942no—
1302C24—942no—
1303C24—1881no—
1304C24—1881no—
1305C24—1881no—
1306C24—1881no—
1307C24—1881no—
1308C24—1881no—
1309C24—1881no—
1310C24—1881no—
1311C24C23×D4711yescharacteristic
1312C24C23×D4711yescharacteristic
1313C24C23×D4711yescharacteristic
1314C24C23×D4711yescharacteristic
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—22no—
1318C2×D4—22no—
1319C2×D4—41no—
1320C2×D4—41no—
1321C2×D4—41no—
1322C2×D4—41no—
1323C2×D4—474no—
1324C2×D4—474no—
1325C2×D4—474no—
1326C2×D4—942no—
1327C2×D4—942no—
1328C2×D4—9432no—
1329C2×D4—942no—
1330C2×D4—942no—
1331C2×D4—942no—
1332C2×D4—942no—
1333C2×D4—942no—
1334C2×D4—942no—
1335C2×D4—942no—
1336C2×D4—942no—
1337C2×D4—942no—
1338C2×D4—942no—
1339C2×D4—942no—
1340C2×D4—942no—
1341C2×D4—942no—
1342C2×D4—942no—
1343C2×D4—942no—
1344C2×D4—942no—
1345C2×D4—942no—
1346C2×D4—942no—
1347C2×D4—1881no—
1348C2×D4—1881no—
1349C2×D4—1881no—
1350C2×D4—1881no—
1351C2×D4—18816no—
1352C2×D4D4×D4714yes—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—41no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—471no—
1363C22×C4—471no—
1364C22×C4—474no—
1365C22×C4—471no—
1366C22×C4—471no—
1367C22×C4—471no—
1368C22×C4—471no—
1369C22×C4—471no—
1370C22×C4—471no—
1371C22×C4—471no—
1372C22×C4—471no—
1373C22×C4—471no—
1374C22×C4—471no—
1375C22×C4—471no—
1376C22×C4—942no—
1377C22×C4—942no—
1378C22×C4—942no—
1379C22×C4—942no—
1380C22×C4—942no—
1381C22×C4—942no—
1382C22×C4—942no—
1383C22×C4—942no—
1384C22×C4—942no—
1385C22×C4—942no—
1386C22×C4—942no—
1387C22×C4—942no—
1388C22×C4—942no—
1389C22×C4—942no—
1390C22×C4—942no—
1391C22×C4—942no—
1392C22×C4—942no—
1393C22×C4—942no—
1394C22×C4—942no—
1395C22×C4—942no—
1396C22×C4—942no—
1397C22×C4—942no—
1398C22×C4—942no—
1399C22×C4—942no—
1400C22×C4—942no—
1401C22×C4—942no—
1402C22×C4—942no—
1403C22×C4—942no—
1404C22×C4—1881no—
1405C22×C4—1881no—
1406C22×C4—1881no—
1407C22×C4—1881no—
1408C22×C4—1881no—
1409C22×C4—1881no—
1410C22×C4—1881no—
1411C22×C4—1881no—
1412C22×C4—1881no—
1413C22×C4—1881no—
1414C22×C4—1881no—
1415C22×C4—1881no—
1416C22×C4—1881no—
1417C22×C4—1881no—
1418C22×C4—1881no—
1419C22×C4—1881no—
1420C22×C4—1881no—
1421C22×C4—1881no—
1422C22×C4—18816no—
1423C22×C4—18816no—
1424C22×C4—1881no—
1425C22×C4—1881no—
1426C22×C4—1881no—
1427C22×C4—1881no—
1428C22×C4C23×D4711yescharacteristic
1429C22×C4C23×D4711yescharacteristic
1430C22×C4C23×D4711yescharacteristic
1431C22×C4C23×D4711yescharacteristic
1432C22×C4C23×D4711yescharacteristic
1433C22×C4C23×D4711yescharacteristic
1434C22×C4C23×D4711yescharacteristic
1435C22×C4C23×D4711yescharacteristic
1436C22×C4C23×D4711yescharacteristic
1437C22×C4C23×D4711yescharacteristic
1438C22×C4C23×D4711yescharacteristic
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—41no—
1442C4⋊C4—41no—
1443C4⋊C4—41no—
1444C4⋊C4—942no—
1445C4⋊C4—942no—
1446C4⋊C4—942no—
1447C4⋊C4—942no—
1448C4⋊C4—942no—
1449C4⋊C4—942no—
1450C4⋊C4—942no—
1451C4⋊C4—942no—
1452C4⋊C4—942no—
1453C4⋊C4—942no—
1454C4⋊C4—1881no—
1455C4⋊C4—1881no—
1456C4⋊C4—1881no—
1457C4⋊C4—1881no—
1458C4⋊C4—1881no—
1459C4⋊C4—1881no—
1460C4⋊C4—1881no—
1461C4⋊C4—1881no—
1462C4⋊C4—1881no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—22no—
1466C22⋊C4—22no—
1467C22⋊C4—22no—
1468C22⋊C4—22no—
1469C22⋊C4—22no—
1470C22⋊C4—22no—
1471C22⋊C4—41no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—942no—
1480C22⋊C4—942no—
1481C22⋊C4—942no—
1482C22⋊C4—942no—
1483C22⋊C4—942no—
1484C22⋊C4—942no—
1485C22⋊C4—942no—
1486C22⋊C4—942no—
1487C22⋊C4—942no—
1488C22⋊C4—942no—
1489C22⋊C4—942no—
1490C22⋊C4—942no—
1491C22⋊C4—942no—
1492C22⋊C4—942no—
1493C22⋊C4—942no—
1494C22⋊C4—942no—
1495C22⋊C4—942no—
1496C22⋊C4—942no—
1497C22⋊C4—942no—
1498C22⋊C4—942no—
1499C22⋊C4—942no—
1500C22⋊C4—942no—
1501C22⋊C4—942no—
1502C22⋊C4—942no—
1503C22⋊C4—1881no—
1504C22⋊C4—1881no—
1505C22⋊C4—1881no—
1506C22⋊C4—1881no—
1507C22⋊C4—1881no—
1508C22⋊C4—1881no—
1509C22⋊C4—1881no—
1510C22⋊C4—1881no—
1511C22⋊C4—1881no—
1512C22⋊C4—1881no—
1513C22⋊C4—1881no—
1514C22⋊C4—1881no—
1515C42—22no—
1516C42—942no—
1517C42—942no—
1518C42—942no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—21no—
1536C23—21no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—44no—
1544C23—44no—
1545C23—44no—
1546C23—82no—
1547C23—82no—
1548C23—82no—
1549C23—82no—
1550C23—472no—
1551C23—472no—
1552C23—472no—
1553C23—472no—
1554C23—472no—
1555C23—472no—
1556C23—4716no—
1557C23—472no—
1558C23—948no—
1559C23—941no—
1560C23—941no—
1561C23—941no—
1562C23—941no—
1563C23—941no—
1564C23—941no—
1565C23—941no—
1566C23—941no—
1567C23—941no—
1568C23—941no—
1569C23—941no—
1570C23—941no—
1571C23—941no—
1572C23—941no—
1573C23—1884no—
1574C23—1884no—
1575C23—1884no—
1576C23—1884no—
1577C23—1884no—
1578C23—1884no—
1579C23—1884no—
1580C23—1884no—
1581C23—1884no—
1582C23—1884no—
1583C23—1884no—
1584C23—1884no—
1585C23C2×D4×D4712yes—
1586C23C2×D4×D4712yes—
1587C23#41×D4712yes—
1588C23#41×D4712yes—
1589C23C24×D4711yescharacteristic
1590D4—28no—
1591D4—82no—
1592D4—82no—
1593D4—948no—
1594D4—948no—
1595D4—948no—
1596D4—3762no—
1597D4—3762no—
1598D4—1884no—
1599D4—1884no—
1600D4—1884no—
1601D4—1884no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—82no—
1636C2×C4—472no—
1637C2×C4—472no—
1638C2×C4—948no—
1639C2×C4—948no—
1640C2×C4—941no—
1641C2×C4—941no—
1642C2×C4—941no—
1643C2×C4—941no—
1644C2×C4—941no—
1645C2×C4—941no—
1646C2×C4—941no—
1647C2×C4—941no—
1648C2×C4—941no—
1649C2×C4—941no—
1650C2×C4—941no—
1651C2×C4—941no—
1652C2×C4—941no—
1653C2×C4—941no—
1654C2×C4—941no—
1655C2×C4—941no—
1656C2×C4—941no—
1657C2×C4—941no—
1658C2×C4—941no—
1659C2×C4—941no—
1660C2×C4—941no—
1661C2×C4—941no—
1662C2×C4—941no—
1663C2×C4—941no—
1664C2×C4—941no—
1665C2×C4—941no—
1666C2×C4—941no—
1667C2×C4—941no—
1668C2×C4—941no—
1669C2×C4—941no—
1670C2×C4—941no—
1671C2×C4—941no—
1672C2×C4—941no—
1673C2×C4—941no—
1674C2×C4—941no—
1675C2×C4—941no—
1676C2×C4—941no—
1677C2×C4—3762no—
1678C2×C4—3762no—
1679C2×C4—3762no—
1680C2×C4—1884no—
1681C2×C4—1884no—
1682C2×C4—1884no—
1683C2×C4—1884no—
1684C2×C4—1884no—
1685C2×C4—1884no—
1686C2×C4—1884no—
1687C2×C4—1884no—
1688C2×C4—1884no—
1689C2×C4—1884no—
1690C2×C4—1884no—
1691C2×C4—1884no—
1692C2×C4C2×D4×D4712yes—
1693C2×C4#1309406912yes—
1694C22—22no—
1695C22—22no—
1696C22—22no—
1697C22—22no—
1698C22—22no—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—88no—
1722C22—474no—
1723C22—474no—
1724C22—942no—
1725C22—942no—
1726C22—942no—
1727C22—942no—
1728C22—942no—
1729C22—942no—
1730C22—942no—
1731C22—942no—
1732C22—942no—
1733C22—942no—
1734C22—942no—
1735C22—942no—
1736C22—942no—
1737C22—942no—
1738C22—942no—
1739C22—18816no—
1740C22—18816no—
1741C22—1881no—
1742C22—1881no—
1743C22—1881no—
1744C22—1881no—
1745C22#123×D4714yes—
1746C22C22×D4×D4711yescharacteristic
1747C22C2×#41×D4711yescharacteristic
1748C22C2×#41×D4711yescharacteristic
1749C22H(5,𝔽2)×D4711yescharacteristic
1750C22C2×#1309406911yescharacteristic
1751C22#1568995811yescharacteristic
1752C22#1568995911yescharacteristic
1753C4—22no—
1754C4—22no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—942no—
1765C4—942no—
1766C4—1881no—
1767C4—1881no—
1768C4—1881no—
1769C4—1881no—
1770C4—1881no—
1771C4—1881no—
1772C4—1881no—
1773C4—1881no—
1774C4—1881no—
1775C4—1881no—
1776C4—1881no—
1777C2—24no—
1778C2—42no—
1779C2—81no—
1780C2—81no—
1781C2—944no—
1782C2—944no—
1783C2—1882no—
1784C2C2×#123×D4711yescharacteristic
1785C2#2025679511yescharacteristic
1786C2#2025679911yescharacteristic
1787C2#2025701611yescharacteristic
1788C2#2025702511yescharacteristic
1789C2#2025721511yescharacteristic
1790C2#2025721911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2418C2
prime radicalC2×#15689683C2
hypercenter#2418D47
hypocenterC47#34983
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
2. C2×C4×D4×D47C2semidirect
3. #20251708C2semidirect
4. #20251708C2semidirect
5. #20251679C2semidirect
6. #20251677C2semidirect
7. #20249173C2semidirect
8. #20249167C2semidirect
9. #20249160C2semidirect
10. #20249160C2semidirect
11. #20247145C2semidirect
12. #20247141C2semidirect
13. #20247135C2semidirect
14. #20247131C2semidirect
15. #20247130C2semidirect
16. #20247126C2semidirect
17. #20247120C2semidirect
18. #20247116C2semidirect
19. #20246871C2semidirect
20. #20246867C2semidirect
21. #20246863C2semidirect
22. #20246859C2semidirect
23. #20246854C2semidirect
24. #20246850C2semidirect
25. #20246846C2semidirect
26. #20246001C2semidirect
27. #20245964C2semidirect
28. #20245962C2semidirect
29. C2×#15688999C2semidirect
30. #385×D47C2semidirect
31. C47×#2418C2semidirect
35. C23×C4×D47C22semidirect
40. C2×#13094006C22semidirect
41. C2×#13094006C22semidirect
43. C2×#13094005C22semidirect
51. C2×C4×D188C22semidirect
53. C2×#13093986C22semidirect
55. C2×C4×C22⋊D47C22semidirect
57. C2×(C22⋊D47)⋊C4C22semidirect
59. C2×C4⋊C4×D47C22semidirect
60. C2×C4⋊C4×D47C22semidirect
61. C2×C4⋊C4×D47C22semidirect
62. C22×C22⋊Dic47C22semidirect
67. C2×C22⋊C4×D47C22semidirect
68. C2×C42×D47C22semidirect
69. #15689065C22semidirect
70. #15689065C22semidirect
71. #15689063C22semidirect
72. #15689061C22semidirect
73. #15689059C22semidirect
74. #15689059C22semidirect
75. #15689059C22semidirect
76. #15689056C22semidirect
77. #15689056C22semidirect
78. #15689055C22semidirect
79. #15689054C22semidirect
80. #15689052C22semidirect
81. #15689052C22semidirect
82. #15689051C22semidirect
83. #15689051C22semidirect
84. #15689051C22semidirect
85. #15689051C22semidirect
86. #15689049C22semidirect
87. #15689049C22semidirect
88. #15689048C22semidirect
89. #15689048C22semidirect
90. #15689048C22semidirect
91. #15689039C22semidirect
92. #15689039C22semidirect
93. #15689038C22semidirect
94. #15689038C22semidirect
95. #15689037C22semidirect
96. #15689037C22semidirect
97. #15689017C22semidirect
98. #15689017C22semidirect
99. #15689016C22semidirect
100. #15689016C22semidirect
101. #15689011C22semidirect
102. #15689011C22semidirect
103. #15689010C22semidirect
104. #15689010C22semidirect
105. #15689009C22semidirect
106. #15689009C22semidirect
107. #15689008C22semidirect
108. #15689008C22semidirect
109. #15689007C22semidirect
110. #15689007C22semidirect
112. #15689003C22semidirect
114. #15689001C22semidirect
115. #15689001C22semidirect
125. #15688999C22semidirect
126. #15688999C22semidirect
127. #15688999C22semidirect
128. #15688999C22semidirect
129. #15688999C22semidirect
130. #15688999C22semidirect
131. #15688999C22semidirect
132. #15688999C22semidirect
133. #15688999C22semidirect
134. #15688999C22semidirect
135. #15688999C22semidirect
136. #15688999C22semidirect
137. #15688998C22semidirect
138. #15688998C22semidirect
139. #15688997C22semidirect
140. #15688997C22semidirect
141. #15688997C22semidirect
142. #15688997C22semidirect
143. #15688997C22semidirect
144. #15688997C22semidirect
145. #15688996C22semidirect
146. #15688996C22semidirect
147. #15688995C22semidirect
148. #15688994C22semidirect
149. #15688994C22semidirect
150. #15688994C22semidirect
151. #15688994C22semidirect
152. #15688994C22semidirect
153. #15688994C22semidirect
154. #15688994C22semidirect
155. #15688994C22semidirect
156. #15688986C22semidirect
157. #15688985C22semidirect
158. #15688985C22semidirect
159. #15688985C22semidirect
160. #15688985C22semidirect
161. #15688984C22semidirect
162. #15688984C22semidirect
163. #15688984C22semidirect
164. #15688983C22semidirect
165. #15688981C22semidirect
166. #15688981C22semidirect
167. #15688979C22semidirect
168. #15688978C22semidirect
169. #15688978C22semidirect
170. C2×C47⋊#95C22semidirect
171. C2×C47⋊#95C22semidirect
172. #95×D47C22semidirect
173. #95×D47C22semidirect
174. C2×#123×C47C22semidirect
177. C22×C22⋊C4×C47C22semidirect
178. C47×#399C22semidirect
179. C47×#397C22semidirect
180. C47×#394C22semidirect
181. C47×#394C22semidirect
182. C47×#388C22semidirect
183. C47×#388C22semidirect
185. C47×#386C22semidirect
186. C47×#385C22semidirect
187. C47×#380C22semidirect
188. C47×#379C22semidirect
686. C22×D47#123semidirect
907. #2418D47semidirect
939. C2×#123C2×D47semidirect
966. C22×C22⋊C4C2×D47semidirect
975. #399C2×D47semidirect
991. #397C2×D47semidirect
998. #394C2×D47semidirect
999. #394C2×D47semidirect
1006. #388C2×D47semidirect
1007. #388C2×D47semidirect
1043. #386C2×D47semidirect
1063. #385C2×D47semidirect
1075. #380C2×D47semidirect
1079. #379C2×D47semidirect
1084. C47#34983semidirect

Maximal subgroups

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

subgroupindex
C2×#156896832
C2×C4×D4×D472
#202517082
#202516792
#202516772
#202491732
#202491672
#202491602
#202471452
#202471412
#202471352
#202471312
#202471302
#202471262
#202471202
#202471162
#202468712
#202468672
#202468632
#202468592
#202468542
#202468502
#202468462
#202460012
#202459642
#202459622
C2×#156889992
#385×D472
C47×#24182
#3498347