Finite Group Databasebeta

← #26423345

Subgroups — #26423345

Order 12032.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689706C211yesmaximal, characteristic, complemented
2C2×#15689632C211yesmaximal, characteristic, complemented
3#20251681C211yesmaximal, characteristic, complemented
4#20251671C211yesmaximal, characteristic, complemented
5#20250059C211yesmaximal, characteristic, complemented
6#20250014C211yesmaximal, characteristic, complemented
7#20249984C211yesmaximal, characteristic, complemented
8#20249973C211yesmaximal, characteristic, complemented
9#20249807C211yesmaximal, characteristic, complemented
10#20249750C211yesmaximal, characteristic, complemented
11#20249738C211yesmaximal, characteristic, complemented
12#20249735C211yesmaximal, characteristic, complemented
13#20249723C211yesmaximal, characteristic, complemented
14#20249711C211yesmaximal, characteristic, complemented
15#20249708C211yesmaximal, characteristic, complemented
16#20249708C211yesmaximal, characteristic, complemented
17#20249637C211yesmaximal, characteristic, complemented
18#20249612C211yesmaximal, characteristic, complemented
19#20249603C211yesmaximal, characteristic, complemented
20#20249603C211yesmaximal, characteristic, complemented
21#20249275C211yesmaximal, characteristic, complemented
22#20249229C211yesmaximal, characteristic, complemented
23#20249069C211yesmaximal, characteristic, complemented
24#20249015C211yesmaximal, characteristic, complemented
25#20248979C211yesmaximal, characteristic, complemented
26#20248975C211yesmaximal, characteristic, complemented
27#20248359C211yesmaximal, characteristic, complemented
28#20248280C211yesmaximal, characteristic, complemented
29#20246734C211yesmaximal, characteristic, complemented
30#20246709C211yesmaximal, characteristic, complemented
31C47×#2319C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic, complemented
34#15689706—28no—
35C2×#13094021C2211yescharacteristic
36C2×#13094019C2211yescharacteristic, complemented
37C2×#13094018C2211yescharacteristic, complemented
38C2×#13094012C2211yescharacteristic, complemented
39C2×#13094012C2211yescharacteristic, complemented
40C2×#13094010C2211yescharacteristic
41#15689632—28no—
42C2×#13094009C2211yescharacteristic, complemented
43C2×#13094009C2211yescharacteristic, complemented
44C2×#13094008C2211yescharacteristic
45C2×#13094008C2211yescharacteristic
46C2×#13094007C2211yescharacteristic
47C2×#13094006C2211yescharacteristic
48C2×#13094004C2211yescharacteristic, complemented
49C2×#13094002C2211yescharacteristic, complemented
50C2×#13094001C2211yescharacteristic, complemented
51C2×#13094001C2211yescharacteristic, complemented
52C2×#13093999C2211yescharacteristic
53C2×#13093999C2211yescharacteristic
54C2×#13093999C2211yescharacteristic, complemented
55C2×#13093998C2211yescharacteristic
56C2×#13093997C2211yescharacteristic
57C2×#13093997C2211yescharacteristic
58C2×#13093996C2211yescharacteristic
59C2×#13093996C2211yescharacteristic
60C2×#13093994C2211yescharacteristic
61C2×#13093994C2211yescharacteristic
62C2×#13093994C2211yescharacteristic
63C2×#13093994C2211yescharacteristic
64C2×#13093994C2211yescharacteristic, complemented
65C2×#13093994C2211yescharacteristic, complemented
66C2×#13093994C2211yescharacteristic, complemented
67C2×#13093994C2211yescharacteristic, complemented
68C2×#13093992C2211yescharacteristic
69C2×#13093992C2211yescharacteristic
70C2×C4×D188C2211yescharacteristic, complemented
71C2×C4×C22⋊D47C2211yescharacteristic
72C2×C4×C22⋊D47C2211yescharacteristic, complemented
73C2×C4×C22⋊D47C2211yescharacteristic, complemented
74C2×#13093981C2211yescharacteristic, complemented
75C22×(C2×D47)⋊C4C2211yescharacteristic, complemented
76#15689063C2211yescharacteristic, complemented
77#15689060C2211yescharacteristic, complemented
78#15689055C2211yescharacteristic, complemented
79#15689053C2211yescharacteristic, complemented
80#15689053C2211yescharacteristic, complemented
81#15689050C2211yescharacteristic, complemented
82#15689048C2211yescharacteristic, complemented
83#15689048C2211yescharacteristic, complemented
84#15689045C2211yescharacteristic, complemented
85#15689045C2211yescharacteristic, complemented
86#15689045C2211yescharacteristic, complemented
87#15689045C2211yescharacteristic, complemented
88#15689045C2211yescharacteristic, complemented
89#15689045C2211yescharacteristic, complemented
90#15689044C2211yescharacteristic, complemented
91#15689041C2211yescharacteristic, complemented
92#15689041C2211yescharacteristic, complemented
93#15689041C2211yescharacteristic, complemented
94#15689040C2211yescharacteristic
95#15689040C2211yescharacteristic
96#15689040C2211yescharacteristic
97#15689040C2211yescharacteristic
98#15689040C2211yescharacteristic, complemented
99#15689040C2211yescharacteristic, complemented
100#15689040C2211yescharacteristic, complemented
101#15689040C2211yescharacteristic, complemented
102#15689039C2211yescharacteristic
103#15689039C2211yescharacteristic
104#15689039C2211yescharacteristic
105#15689039C2211yescharacteristic
106#15689039C2211yescharacteristic, complemented
107#15689039C2211yescharacteristic, complemented
108#15689039C2211yescharacteristic, complemented
109#15689039C2211yescharacteristic, complemented
110#15689036C2211yescharacteristic, complemented
111#15689036C2211yescharacteristic, complemented
112#15689036C2211yescharacteristic, complemented
113#15689033C2211yescharacteristic
114#15689033C2211yescharacteristic
115#15689033C2211yescharacteristic
116#15689033C2211yescharacteristic
117#15689033C2211yescharacteristic, complemented
118#15689032C2211yescharacteristic
119#15689032C2211yescharacteristic
120#15689032C2211yescharacteristic
121#15689032C2211yescharacteristic
122#15689032C2211yescharacteristic, complemented
123#15689032C2211yescharacteristic, complemented
124#15689029C2211yescharacteristic, complemented
125#15689028C2211yescharacteristic, complemented
126#15689025C2211yescharacteristic
127#15689025C2211yescharacteristic
128#15689025C2211yescharacteristic
129#15689025C2211yescharacteristic, complemented
130#15689025C2211yescharacteristic, complemented
131#15689025C2211yescharacteristic, complemented
132#15689024C2211yescharacteristic, complemented
133#15689021C2211yescharacteristic, complemented
134#15689015C2211yescharacteristic, complemented
135#15689015C2211yescharacteristic, complemented
136#15689015C2211yescharacteristic, complemented
137#15689015C2211yescharacteristic, complemented
138#15689014C2211yescharacteristic, complemented
139#15689014C2211yescharacteristic, complemented
140#15689014C2211yescharacteristic, complemented
141#15689014C2211yescharacteristic, complemented
142#15689014C2211yescharacteristic, complemented
143#15689014C2211yescharacteristic, complemented
144#15689008C2211yescharacteristic, complemented
145#15689008C2211yescharacteristic, complemented
146#15689001C2211yescharacteristic
147#15689001C2211yescharacteristic
148#15689001C2211yescharacteristic
149#15689001C2211yescharacteristic
150#15689001C2211yescharacteristic
151#15689001C2211yescharacteristic
152#15689001C2211yescharacteristic, complemented
153#15689001C2211yescharacteristic, complemented
154#15689001C2211yescharacteristic, complemented
155#15689001C2211yescharacteristic, complemented
156#15689001C2211yescharacteristic, complemented
157#15689001C2211yescharacteristic, complemented
158#15689000C2211yescharacteristic
159#15689000C2211yescharacteristic
160#15689000C2211yescharacteristic, complemented
161#15689000C2211yescharacteristic, complemented
162#15688997C2211yescharacteristic, complemented
163#15688997C2211yescharacteristic, complemented
164#15688997C2211yescharacteristic, complemented
165#15688997C2211yescharacteristic, complemented
166#15688997C2211yescharacteristic, complemented
167#15688997C2211yescharacteristic, complemented
168#15688984C2211yescharacteristic, complemented
169#15688984C2211yescharacteristic, complemented
170#15688980C2211yescharacteristic, complemented
171#15688980C2211yescharacteristic, complemented
172#15688978C2211yescharacteristic, complemented
173#15688978C2211yescharacteristic, complemented
174C2×C4×D4×C47C2211yescharacteristic
175C47×#390C2211yescharacteristic
176C47×#390C2211yescharacteristic
177C47×#389C2211yescharacteristic, complemented
178C47×#389C2211yescharacteristic, complemented
179C47×#388C2211yescharacteristic, complemented
180C47×#388C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#381C2211yescharacteristic, complemented
184C47×#381C2211yescharacteristic, complemented
185C47×#380C2211yescharacteristic, complemented
186C47×#380C2211yescharacteristic, complemented
187C4×C4⋊C4×C47C2211yescharacteristic, complemented
188C47×#376C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C2×#10625350—24no—
192C2×#10625350—42no—
193C2×#10625350—42no—
194C22×Dic94C2311yescharacteristic
195C22×Dic94C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×D188C2311yescharacteristic
201C22×D188C2311yescharacteristic
202C22×D188C2311yescharacteristic
203C22×D188C2311yescharacteristic
204C22×D188C2311yescharacteristic
205C22×D188C2311yescharacteristic
206C22×D188C2311yescharacteristic
207C22×D188C2311yescharacteristic
208C22×D188C2311yescharacteristic
209C22×C22⋊D47C2311yescharacteristic
210C22×C22⋊D47C2311yescharacteristic
211C22×C22⋊D47C2311yescharacteristic
212C22×C22⋊D47C2311yescharacteristic
213C22×C22⋊D47C2311yescharacteristic
214C22×C22⋊D47C2311yescharacteristic
215C22×C22⋊D47C2311yescharacteristic
216C22×C22⋊D47C2311yescharacteristic
217C23×Dic47C2311yescharacteristic
218C23×Dic47C2311yescharacteristic
219C22×C4×D47—24no—
220C22×C4×D47—42no—
221C22×C4×D47—42no—
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225C22×C4×D47C2311yescharacteristic
226C22×C4×D47C2311yescharacteristic
227C22×C4×D47C2311yescharacteristic
228#13094021—42no—
229#13094019—24no—
230#13094018—24no—
231#13094012—24no—
232#13094012—42no—
233#13094010—24no—
234#13094009—24no—
235#13094009—24no—
236#13094008—42no—
237#13094008—42no—
238#13094007—24no—
239#13094006—24no—
240#13094004—42no—
241#13094002—24no—
242#13094001—24no—
243#13094001—24no—
244#13093999—42no—
245#13093999—42no—
246#13093999—42no—
247#13093998—24no—
248#13093997—24no—
249#13093997—24no—
250#13093996—24no—
251#13093996—24no—
252#13093994—24no—
253#13093994—24no—
254#13093994—42no—
255#13093994—42no—
256#13093994—42no—
257#13093994—42no—
258#13093994—42no—
259#13093994—42no—
260#13093992—24no—
261#13093992—24no—
262C4×D188—24no—
263C4×C22⋊D47—24no—
264C4×C22⋊D47—24no—
265C4×C22⋊D47—24no—
266#13093981—24no—
267C2×C4⋊Dic47C2311yescharacteristic
268C2×C4⋊Dic47C2311yescharacteristic
269C2×C4⋊Dic47C2311yescharacteristic
270C2×C4⋊Dic47C2311yescharacteristic
271C2×C4⋊Dic47C2311yescharacteristic
272C2×C4⋊Dic47C2311yescharacteristic
273C2×C4⋊Dic47C2311yescharacteristic
274C2×C4⋊Dic47C2311yescharacteristic
275C2×C4⋊Dic47C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×Dic47⋊C4C2311yescharacteristic
278C2×Dic47⋊C4C2311yescharacteristic
279C2×Dic47⋊C4C2311yescharacteristic
280C2×Dic47⋊C4C2311yescharacteristic
281C2×Dic47⋊C4C2311yescharacteristic
282C2×Dic47⋊C4C2311yescharacteristic
283C2×Dic47⋊C4C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×(C2×D47)⋊C4—24no—
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
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
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C2×(C2×D47)⋊C4C2311yescharacteristic
317C2×(C2×D47)⋊C4C2311yescharacteristic
318C2×(C2×D47)⋊C4C2311yescharacteristic
319C2×(C2×D47)⋊C4C2311yescharacteristic
320C2×(C2×D47)⋊C4C2311yescharacteristic
321C2×(C2×D47)⋊C4C2311yescharacteristic
322C2×(C2×D47)⋊C4C2311yescharacteristic
323C2×(C2×D47)⋊C4C2311yescharacteristic
324C2×(C2×D47)⋊C4C2311yescharacteristic
325C2×(C2×D47)⋊C4C2311yescharacteristic
326C2×(C2×D47)⋊C4C2311yescharacteristic
327C2×(C2×D47)⋊C4C2311yescharacteristic
328C2×(C2×D47)⋊C4C2311yescharacteristic
329C2×(C2×D47)⋊C4C2311yescharacteristic
330C2×(C2×D47)⋊C4C2311yescharacteristic
331C2×(C2×D47)⋊C4C2311yescharacteristic
332C2×(C2×D47)⋊C4C2311yescharacteristic
333C2×(C2×D47)⋊C4C2311yescharacteristic
334C2×(C2×D47)⋊C4C2311yescharacteristic
335C2×C4×Dic47C2311yescharacteristic
336C2×C4×Dic47C2311yescharacteristic
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
352C47⋊#95C2311yescharacteristic
353C47⋊#95C2311yescharacteristic
354C47⋊#95C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C4×D4×C47D418yescomplemented
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
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×C42×C47C2311yescharacteristic
377C2×C42×C47C2311yescharacteristic
378C2×C42×C47C2311yescharacteristic
379C2×C42×C47C2311yescharacteristic
380C2×C42×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×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
393C23×D47—22no—
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—41no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47—41no—
401C23×D47—41no—
402C23×D47—41no—
403C23×D47—41no—
404C23×D47—41no—
405C23×D47—41no—
406C23×D47—41no—
407C23×D47C2411yescharacteristic
408C23×D47C2411yescharacteristic
409C23×D47C2411yescharacteristic
410C23×D47C2411yescharacteristic
411C23×D47C2411yescharacteristic
412C23×D47C2411yescharacteristic
413C2×D4×C47—41no—
414C2×D4×C47—41no—
415C2×D4×C47C2×D414yes—
416C22×C4×C47—41no—
417C22×C4×C47—41no—
418C22×C4×C47—41no—
419C22×C4×C47—41no—
420C22×C4×C47C2×D414yes—
421C22×C4×C47C2×D414yes—
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
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
435C2×C22⋊D47—22no—
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—41no—
447C2×C22⋊D47—41no—
448C2×C22⋊D47—41no—
449C2×C22⋊D47—41no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47—41no—
453C2×C22⋊D47—41no—
454C2×C22⋊D47—41no—
455C2×C22⋊D47—41no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47—41no—
458C2×C22⋊D47—41no—
459C22×Dic47—22no—
460C22×Dic47—22no—
461C22×Dic47—22no—
462C22×Dic47—41no—
463C22×Dic47—41no—
464C22×Dic47—41no—
465C22×Dic47C2411yescharacteristic
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475#10625350—416no—
476C2×D188—22no—
477C2×D188—22no—
478C2×D188—22no—
479C2×D188—22no—
480C2×D188—22no—
481C2×D188—22no—
482C2×D188—22no—
483C2×D188—22no—
484C2×D188—22no—
485C2×D188—22no—
486C2×D188—22no—
487C2×D188—22no—
488C2×D188—41no—
489C2×D188—41no—
490C2×D188—41no—
491C2×D188—41no—
492C2×D188—41no—
493C2×D188—41no—
494C2×D188—41no—
495C2×D188—41no—
496C2×D188—41no—
497C2×D188—41no—
498C2×D188—41no—
499C2×D188—41no—
500C2×D188—41no—
501C2×D188—41no—
502C2×D188—41no—
503C2×D188—41no—
504C2×D188—41no—
505C2×D188—41no—
506C2×D188—41no—
507C2×D188—41no—
508C2×D188—41no—
509C2×D188—41no—
510C2×D188—41no—
511C2×D188—41no—
512C2×D188—41no—
513C2×D188—41no—
514C2×D188—41no—
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—22no—
523C2×C4×D47—22no—
524C2×C4×D47—22no—
525C2×C4×D47—416no—
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×Dic94—22no—
535C2×Dic94—22no—
536C2×Dic94—22no—
537C2×Dic94—41no—
538C2×Dic94—41no—
539C2×Dic94—41no—
540C4⋊C4×C47—41no—
541C4⋊C4×C47—41no—
542C4⋊C4×C47—41no—
543C4⋊C4×C47—41no—
544C4⋊C4×C47—41no—
545C4⋊C4×C47—41no—
546C4⋊C4×C47C2×D414yes—
547C22⋊C4×C47—41no—
548C22⋊C4×C47—41no—
549C22⋊C4×C47—41no—
550C22⋊C4×C47—41no—
551C22⋊C4×C47—41no—
552C22⋊C4×C47—41no—
553C22⋊C4×C47—41no—
554C22⋊C4×C47—41no—
555C22⋊C4×C47C2×D414yes—
556C22⋊C4×C47C2×D414yes—
557C42×C47—41no—
558C42×C47—41no—
559C42×C47—41no—
560C42×C47—41no—
561C42×C47C2×D414yes—
562C22⋊Dic47—22no—
563C22⋊Dic47—22no—
564C22⋊Dic47—22no—
565C22⋊Dic47—22no—
566(C2×D47)⋊C4—22no—
567(C2×D47)⋊C4—22no—
568(C2×D47)⋊C4—22no—
569(C2×D47)⋊C4—22no—
570(C2×D47)⋊C4—22no—
571(C2×D47)⋊C4—22no—
572(C2×D47)⋊C4—22no—
573(C2×D47)⋊C4—22no—
574(C2×D47)⋊C4—22no—
575(C2×D47)⋊C4—22no—
576(C2×D47)⋊C4—22no—
577(C2×D47)⋊C4—22no—
578(C2×D47)⋊C4—22no—
579(C2×D47)⋊C4—22no—
580(C2×D47)⋊C4—22no—
581(C2×D47)⋊C4—22no—
582(C2×D47)⋊C4—22no—
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—41no—
590(C2×D47)⋊C4—41no—
591(C2×D47)⋊C4—41no—
592(C2×D47)⋊C4—41no—
593(C2×D47)⋊C4—41no—
594(C2×D47)⋊C4—41no—
595(C2×D47)⋊C4—41no—
596(C2×D47)⋊C4—41no—
597(C2×D47)⋊C4—41no—
598(C2×D47)⋊C4—41no—
599(C2×D47)⋊C4—41no—
600(C2×D47)⋊C4—41no—
601(C2×D47)⋊C4—41no—
602(C2×D47)⋊C4—41no—
603(C2×D47)⋊C4—41no—
604(C2×D47)⋊C4—41no—
605(C2×D47)⋊C4—41no—
606(C2×D47)⋊C4—41no—
607(C2×D47)⋊C4—41no—
608(C2×D47)⋊C4—41no—
609(C2×D47)⋊C4—41no—
610(C2×D47)⋊C4—41no—
611(C2×D47)⋊C4—41no—
612C4⋊Dic47—22no—
613C4⋊Dic47—22no—
614C4⋊Dic47—22no—
615C4⋊Dic47—41no—
616C4⋊Dic47—41no—
617C4⋊Dic47—41no—
618C4⋊Dic47—41no—
619C4⋊Dic47—41no—
620C4⋊Dic47—41no—
621Dic47⋊C4—22no—
622Dic47⋊C4—22no—
623Dic47⋊C4—22no—
624Dic47⋊C4—22no—
625Dic47⋊C4—22no—
626Dic47⋊C4—22no—
627Dic47⋊C4—22no—
628Dic47⋊C4—22no—
629C4×Dic47—22no—
630C4×Dic47—22no—
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×C47C22×D412yes—
644C23×C47C22×D412yes—
645C23×C47C2511yescharacteristic
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—21no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—21no—
653C22×D47—21no—
654C22×D47—21no—
655C22×D47—21no—
656C22×D47—21no—
657C22×D47—21no—
658C22×D47—21no—
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—21no—
674C22×D47—21no—
675C22×D47—21no—
676C22×D47—21no—
677C22×D47—21no—
678C22×D47—21no—
679C22×D47—21no—
680C22×D47—21no—
681C22×D47—21no—
682C22×D47—21no—
683C22×D47—21no—
684C22×D47—21no—
685C22×D47—21no—
686C22×D47—44no—
687C22×D47—44no—
688C22×D47—44no—
689C22×D47—44no—
690C22×D47—44no—
691C22×D47—44no—
692C22×D47—44no—
693C22×D47—44no—
694C22×D47—82no—
695C22×D47—82no—
696C22×D47—82no—
697C22×D47—82no—
698C22×D47—82no—
699C22×D47—82no—
700C22×D47H(5,𝔽2)12yes—
701C22×D47H(5,𝔽2)12yes—
702D4×C47—44no—
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—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—44no—
738C2×C4×C47—44no—
739C2×C4×C47C22×D412yes—
740C2×C4×C47C22×D412yes—
741C2×C4×C47C22×D412yes—
742C2×C4×C47C22×D412yes—
743C2×C4×C47C22×D412yes—
744C22⋊D47—44no—
745C22⋊D47—44no—
746C22⋊D47—44no—
747C22⋊D47—44no—
748C22⋊D47—44no—
749C22⋊D47—82no—
750C22⋊D47—82no—
751C22⋊D47—82no—
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—21no—
779C2×Dic47—21no—
780C2×Dic47—21no—
781C2×Dic47—44no—
782C2×Dic47—82no—
783C2×Dic47H(5,𝔽2)12yes—
784D188—44no—
785D188—44no—
786D188—82no—
787D188—82no—
788D188—82no—
789D188—82no—
790D188—82no—
791D188—82no—
792D188—82no—
793D188—82no—
794D188—82no—
795D188—82no—
796D188—82no—
797C4×D47—28no—
798C4×D47—44no—
799C4×D47—44no—
800C4×D47—44no—
801C4×D47—44no—
802C4×D47—82no—
803Dic94—44no—
804Dic94—82no—
805#36724—471nomaximal, Sylow
806C22×C47—22no—
807C22×C47—22no—
808C22×C47—22no—
809C22×C47—22no—
810C22×C47—22no—
811C22×C47—22no—
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×C47C23×D411yescharacteristic
821C22×C47C2×H(5,𝔽2)11yescharacteristic
822C22×C47C2×H(5,𝔽2)11yescharacteristic
823C22×C47C2×H(5,𝔽2)11yescharacteristic
824C22×C47#58511yescharacteristic
825C22×C47#58511yescharacteristic
826C22×C47#58511yescharacteristic
827C2×D47—22no—
828C2×D47—22no—
829C2×D47—22no—
830C2×D47—22no—
831C2×D47—22no—
832C2×D47—22no—
833C2×D47—416no—
834C2×D47—41no—
835C2×D47—41no—
836C2×D47—41no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
840C2×D47—41no—
841C2×D47—41no—
842C2×D47—41no—
843C2×D47—41no—
844C2×D47—41no—
845C2×D47—41no—
846C2×D47—41no—
847C2×D47—41no—
848C2×D47—41no—
849C2×D47—41no—
850C2×D47—41no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—41no—
859C2×D47—41no—
860C2×D47—41no—
861C2×D47—41no—
862C2×D47—41no—
863C2×D47—41no—
864C2×D47—41no—
865C2×D47—41no—
866C2×D47—41no—
867C2×D47—41no—
868C2×D47—41no—
869C2×D47—41no—
870C2×D47—88no—
871C4×C47—22no—
872C4×C47—22no—
873C4×C47—22no—
874C4×C47—22no—
875C4×C47—22no—
876C4×C47—41no—
877C4×C47—41no—
878C4×C47—41no—
879C4×C47—41no—
880C4×C47—41no—
881C4×C47—41no—
882C4×C47—41no—
883C4×C47—41no—
884Dic47—22no—
885Dic47—41no—
886Dic47—41no—
887Dic47—41no—
888Dic47—41no—
889Dic47—41no—
890Dic47—41no—
891Dic47—41no—
892Dic47—41no—
893Dic47—41no—
894C2×#538—471no—
895C2×#525—471no—
896#2849—471no—
897#2847—471no—
898#2705—471no—
899#2702—471no—
900#2700—471no—
901#2699—471no—
902#2687—471no—
903#2682—471no—
904#2681—471no—
905#2681—471no—
906#2679—471no—
907#2678—471no—
908#2678—471no—
909#2678—471no—
910#2672—471no—
911#2670—471no—
912#2669—471no—
913#2669—471no—
914#2635—471no—
915#2630—471no—
916#2610—471no—
917#2603—471no—
918#2601—471no—
919#2600—471no—
920#2544—471no—
921#2534—471no—
922#2407—471no—
923#2404—471no—
924#2319D4711yescharacteristic, complemented
925C2×C47—42no—
926C2×C47—42no—
927C2×C47#344911yescharacteristic
928C2×C47#348411yescharacteristic
929C2×C47#348811yescharacteristic
930C2×C47#353311yescharacteristic
931C2×C47#353411yescharacteristic
932C2×C47#354011yescharacteristic
933C2×C47#354211yescharacteristic
934D47—42no—
935D47—42no—
936D47—81no—
937D47—81no—
938D47—81no—
939D47—81no—
940C22×#41—471no—
941C24×C4—471no—
942#538—948no—
943C2×#127—471no—
944C2×#126—471no—
945C2×#126—471no—
946C2×#124—471no—
947C2×#124—471no—
948C2×#124—471no—
949#525—948no—
950C2×#123—471no—
951C2×#123—471no—
952C2×#123—471no—
953C2×#123—471no—
954C2×#123—471no—
955C2×#123—471no—
956C2×C22⋊Q8—471no—
957C2×C22⋊Q8—471no—
958C2×C22⋊Q8—471no—
959C2×C22⋊Q8—471no—
960C2×#121—471no—
961C2×#121—471no—
962C2×#121—471no—
963C2×#121—471no—
964C2×#121—471no—
965C2×#121—471no—
966C2×#121—471no—
967C2×#121—471no—
968C2×#120—471no—
969C2×#120—471no—
970C2×#120—471no—
971C2×#120—471no—
972C2×#120—471no—
973C2×#120—471no—
974C2×#120—471no—
975C2×#120—471no—
976C2×#120—471no—
977C2×#120—471no—
978C2×C4×D4—471no—
979C2×C4×D4—471no—
980C2×C4×D4—471no—
981C2×C4×D4—471no—
982C2×C4×D4C2×D4711yescharacteristic
983C2×#117—471no—
984C22×C22⋊C4—471no—
985#400—471no—
986#399—471no—
987#398—471no—
988#398—471no—
989#398—471no—
990#397—471no—
991#397—471no—
992#397—471no—
993#396—471no—
994#396—471no—
995#396—471no—
996#396—471no—
997#396—471no—
998#396—471no—
999#395—471no—
1000#394—471no—
1001#394—471no—
1002#394—471no—
1003#394—471no—
1004#394—471no—
1005#394—471no—
1006#394—471no—
1007#394—471no—
1008#394—471no—
1009#394—471no—
1010#394—471no—
1011#394—471no—
1012#394—471no—
1013#394—471no—
1014#394—471no—
1015#394—471no—
1016#394—471no—
1017#394—471no—
1018#394—471no—
1019#393—471no—
1020#393—471no—
1021#393—471no—
1022#392—471no—
1023#392—471no—
1024#392—471no—
1025#392—471no—
1026#392—471no—
1027#392—471no—
1028#392—471no—
1029#392—471no—
1030#392—471no—
1031#392—471no—
1032#392—471no—
1033#391—471no—
1034#391—471no—
1035#390—471no—
1036#390—471no—
1037#390—471no—
1038#390—471no—
1039#390—471no—
1040#390—471no—
1041#390—471no—
1042#390C2×D4711yescharacteristic
1043#390C2×D4711yescharacteristic
1044#389—471no—
1045#389C2×D4711yescharacteristic, complemented
1046#389C2×D4711yescharacteristic, complemented
1047#388—471no—
1048#388—471no—
1049#388—471no—
1050#388—471no—
1051#388—471no—
1052#388—471no—
1053#388—471no—
1054#388—471no—
1055#388—471no—
1056#388—471no—
1057#388C2×D4711yescharacteristic, complemented
1058#388C2×D4711yescharacteristic, complemented
1059#388C2×D4711yescharacteristic, complemented
1060#388C2×D4711yescharacteristic, complemented
1061#387—471no—
1062#387—471no—
1063#386—471no—
1064#386—471no—
1065#386—471no—
1066#386—471no—
1067#386—471no—
1068#386—471no—
1069#386—471no—
1070#386—471no—
1071#386—471no—
1072#386—471no—
1073#386—471no—
1074#386—471no—
1075#386—471no—
1076#386—471no—
1077#386—471no—
1078#386—471no—
1079#385—471no—
1080#385—471no—
1081#385—471no—
1082#385—471no—
1083#385—471no—
1084#385—471no—
1085#381—471no—
1086#381—471no—
1087#381C2×D4711yescharacteristic, complemented
1088#381C2×D4711yescharacteristic, complemented
1089#380—471no—
1090#380—471no—
1091#380C2×D4711yescharacteristic, complemented
1092#380C2×D4711yescharacteristic, complemented
1093#379—471no—
1094#379—471no—
1095C4×C4⋊C4C2×D4711yescharacteristic, complemented
1096#376C2×D4711yescharacteristic, complemented
1097C47#3672411yescharacteristic, complemented, Sylow
1098C25—471no—
1099C25—471no—
1100C2×#41—944no—
1101C2×#41—1882no—
1102C2×#41—1882no—
1103C22×Q8—471no—
1104C22×Q8—471no—
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—471no—
1108C22×D4—471no—
1109C22×D4—471no—
1110C22×D4—471no—
1111C22×D4—471no—
1112C22×D4—471no—
1113C22×D4—471no—
1114C22×D4—471no—
1115C22×D4—471no—
1116C22×D4—471no—
1117C22×D4—471no—
1118C22×D4—471no—
1119C22×D4—471no—
1120C22×D4—471no—
1121C22×D4—471no—
1122C22×D4—471no—
1123C22×D4—471no—
1124C22×D4—471no—
1125C22×D4—471no—
1126C22×D4C22×D4711yescharacteristic
1127C23×C4—471no—
1128C23×C4—471no—
1129C23×C4—471no—
1130C23×C4—471no—
1131C23×C4—471no—
1132C23×C4—471no—
1133C23×C4—471no—
1134C23×C4—471no—
1135C23×C4—944no—
1136C23×C4—1882no—
1137C23×C4—1882no—
1138C23×C4C22×D4711yescharacteristic
1139C23×C4C22×D4711yescharacteristic
1140#127—1882no—
1141#126—944no—
1142#126—944no—
1143#124—944no—
1144#124—944no—
1145#124—1882no—
1146#123—944no—
1147#123—944no—
1148#123—944no—
1149#123—944no—
1150#123—1882no—
1151#123—1882no—
1152C22⋊Q8—944no—
1153C22⋊Q8—944no—
1154C22⋊Q8—944no—
1155C22⋊Q8—1882no—
1156#121—944no—
1157#121—944no—
1158#121—944no—
1159#121—944no—
1160#121—944no—
1161#121—1882no—
1162#121—1882no—
1163#121—1882no—
1164#120—944no—
1165#120—944no—
1166#120—944no—
1167#120—944no—
1168#120—1882no—
1169#120—1882no—
1170#120—1882no—
1171#120—1882no—
1172#120—1882no—
1173#120—1882no—
1174C4×D4—944no—
1175C4×D4—944no—
1176C4×D4—944no—
1177C4×D4—944no—
1178C4×D4D18818yescomplemented
1179#117—944no—
1180C2×C4⋊C4—471no—
1181C2×C4⋊C4—471no—
1182C2×C4⋊C4—471no—
1183C2×C4⋊C4—471no—
1184C2×C4⋊C4—471no—
1185C2×C4⋊C4—471no—
1186C2×C4⋊C4—471no—
1187C2×C4⋊C4—471no—
1188C2×C4⋊C4—471no—
1189C2×C4⋊C4—471no—
1190C2×C4⋊C4—471no—
1191C2×C4⋊C4—471no—
1192C2×C4⋊C4—471no—
1193C2×C4⋊C4—471no—
1194C2×C4⋊C4—471no—
1195C2×C4⋊C4—471no—
1196C2×C4⋊C4—471no—
1197C2×C4⋊C4C22×D4711yescharacteristic
1198C2×C4⋊C4C22×D4711yescharacteristic
1199C2×C4⋊C4C22×D4711yescharacteristic
1200C2×C4⋊C4C22×D4711yescharacteristic
1201C2×C4⋊C4C22×D4711yescharacteristic
1202C2×C4⋊C4C22×D4711yescharacteristic
1203C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1221C2×C22⋊C4—471no—
1222C2×C22⋊C4—471no—
1223C2×C22⋊C4—471no—
1224C2×C22⋊C4—471no—
1225C2×C22⋊C4—471no—
1226C2×C22⋊C4—471no—
1227C2×C22⋊C4—471no—
1228C2×C22⋊C4—471no—
1229C2×C22⋊C4—471no—
1230C2×C22⋊C4—471no—
1231C2×C22⋊C4—471no—
1232C2×C22⋊C4—471no—
1233C2×C22⋊C4—471no—
1234C2×C22⋊C4—471no—
1235C2×C22⋊C4—471no—
1236C2×C22⋊C4—471no—
1237C2×C22⋊C4—471no—
1238C2×C22⋊C4—471no—
1239C2×C22⋊C4—471no—
1240C2×C22⋊C4—471no—
1241C2×C22⋊C4—471no—
1242C2×C22⋊C4—471no—
1243C2×C22⋊C4—471no—
1244C2×C22⋊C4—471no—
1245C2×C22⋊C4—471no—
1246C2×C22⋊C4—471no—
1247C2×C22⋊C4—471no—
1248C2×C22⋊C4—471no—
1249C2×C22⋊C4—471no—
1250C2×C22⋊C4—471no—
1251C2×C22⋊C4—471no—
1252C2×C22⋊C4—471no—
1253C2×C22⋊C4—471no—
1254C2×C22⋊C4—944no—
1255C2×C22⋊C4C22×D4711yescharacteristic
1256C2×C22⋊C4C22×D4711yescharacteristic
1257C2×C22⋊C4C22×D4711yescharacteristic
1258C2×C22⋊C4C22×D4711yescharacteristic
1259C2×C22⋊C4C22×D4711yescharacteristic
1260C2×C22⋊C4C22×D4711yescharacteristic
1261C2×C22⋊C4C22×D4711yescharacteristic
1262C2×C22⋊C4C22×D4711yescharacteristic
1263C2×C22⋊C4C22×D4711yescharacteristic
1264C2×C22⋊C4C22×D4711yescharacteristic
1265C2×C42—471no—
1266C2×C42—471no—
1267C2×C42C22×D4711yescharacteristic
1268C2×C42C22×D4711yescharacteristic
1269C2×C42C22×D4711yescharacteristic
1270C2×C42C22×D4711yescharacteristic
1271C2×C42C22×D4711yescharacteristic
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#95—471no—
1282#95—471no—
1283#95—471no—
1284#95—471no—
1285#95—471no—
1286#95—471no—
1287#95—471no—
1288#95—471no—
1289#95—471no—
1290#95C22×D4711yescharacteristic
1291#95C22×D4711yescharacteristic
1292#95C22×D4711yescharacteristic
1293#95C22×D4711yescharacteristic
1294#95C22×D4711yescharacteristic
1295#95C22×D4711yescharacteristic
1296#95C22×D4711yescharacteristic
1297#95C22×D4711yescharacteristic
1298#95C22×D4711yescharacteristic
1299#95C22×D4711yescharacteristic
1300C24—471no—
1301C24—471no—
1302C24—471no—
1303C24—471no—
1304C24—471no—
1305C24—471no—
1306C24—942no—
1307C24—942no—
1308C24—942no—
1309C24—942no—
1310C24—1881no—
1311C24—1881no—
1312C24—1881no—
1313C24—1881no—
1314C24—1881no—
1315C24—1881no—
1316C24—1881no—
1317C24—1881no—
1318C24—1881no—
1319C24—1881no—
1320C24C23×D4711yescharacteristic
1321C24C23×D4711yescharacteristic
1322#41—18816no—
1323C2×Q8—942no—
1324C2×Q8—942no—
1325C2×Q8—942no—
1326C2×Q8—1881no—
1327C2×Q8—1881no—
1328C2×Q8—1881no—
1329C2×D4—41no—
1330C2×D4—41no—
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—942no—
1348C2×D4—942no—
1349C2×D4—942no—
1350C2×D4—942no—
1351C2×D4—942no—
1352C2×D4—942no—
1353C2×D4—942no—
1354C2×D4—1881no—
1355C2×D4—1881no—
1356C2×D4—1881no—
1357C2×D4—1881no—
1358C2×D4—1881no—
1359C2×D4—1881no—
1360C2×D4—1881no—
1361C2×D4—1881no—
1362C2×D4—1881no—
1363C2×D4—1881no—
1364C2×D4—1881no—
1365C2×D4—1881no—
1366C2×D4—1881no—
1367C2×D4—1881no—
1368C2×D4—1881no—
1369C2×D4—1881no—
1370C2×D4—1881no—
1371C2×D4—1881no—
1372C2×D4—1881no—
1373C2×D4—1881no—
1374C2×D4—1881no—
1375C2×D4—1881no—
1376C2×D4—1881no—
1377C2×D4—1881no—
1378C2×D4—1881no—
1379C2×D4—1881no—
1380C2×D4—1881no—
1381C2×D4—1881no—
1382C2×D4—1881no—
1383C2×D4—1881no—
1384C2×D4—1881no—
1385C2×D4—1881no—
1386C2×D4—1881no—
1387C2×D4—1881no—
1388C2×D4—1881no—
1389C2×D4—1881no—
1390C2×D4—1881no—
1391C2×D4—1881no—
1392C2×D4—1881no—
1393C2×D4—1881no—
1394C2×D4C2×D18814yes—
1395C22×C4—41no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—471no—
1400C22×C4—471no—
1401C22×C4—471no—
1402C22×C4—471no—
1403C22×C4—471no—
1404C22×C4—471no—
1405C22×C4—471no—
1406C22×C4—471no—
1407C22×C4—471no—
1408C22×C4—471no—
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—1881no—
1423C22×C4—1881no—
1424C22×C4—1881no—
1425C22×C4—1881no—
1426C22×C4—1881no—
1427C22×C4—1881no—
1428C22×C4—1881no—
1429C22×C4—1881no—
1430C22×C4—18816no—
1431C22×C4—1881no—
1432C22×C4—1881no—
1433C22×C4—1881no—
1434C22×C4C2×D18814yes—
1435C22×C4C2×D18814yes—
1436C22×C4C23×D4711yescharacteristic
1437C22×C4C23×D4711yescharacteristic
1438C22×C4C23×D4711yescharacteristic
1439C22×C4C23×D4711yescharacteristic
1440C22×C4C23×D4711yescharacteristic
1441C22×C4C23×D4711yescharacteristic
1442C22×C4C23×D4711yescharacteristic
1443C22×C4C23×D4711yescharacteristic
1444C22×C4C23×D4711yescharacteristic
1445C22×C4C23×D4711yescharacteristic
1446C22×C4C23×D4711yescharacteristic
1447C22×C4C23×D4711yescharacteristic
1448C22×C4C23×D4711yescharacteristic
1449C4⋊C4—41no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—942no—
1456C4⋊C4—942no—
1457C4⋊C4—942no—
1458C4⋊C4—942no—
1459C4⋊C4—942no—
1460C4⋊C4—942no—
1461C4⋊C4—942no—
1462C4⋊C4—942no—
1463C4⋊C4—942no—
1464C4⋊C4—942no—
1465C4⋊C4—942no—
1466C4⋊C4—1881no—
1467C4⋊C4—1881no—
1468C4⋊C4—1881no—
1469C4⋊C4—1881no—
1470C4⋊C4—1881no—
1471C4⋊C4—1881no—
1472C4⋊C4C2×D18814yes—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—41no—
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—942no—
1504C22⋊C4—942no—
1505C22⋊C4—942no—
1506C22⋊C4—942no—
1507C22⋊C4—942no—
1508C22⋊C4—1881no—
1509C22⋊C4—1881no—
1510C22⋊C4—1881no—
1511C22⋊C4—1881no—
1512C22⋊C4—1881no—
1513C22⋊C4—1881no—
1514C22⋊C4—1881no—
1515C22⋊C4—1881no—
1516C22⋊C4—1881no—
1517C22⋊C4—1881no—
1518C22⋊C4—1881no—
1519C22⋊C4—1881no—
1520C22⋊C4—1881no—
1521C22⋊C4—1881no—
1522C22⋊C4—1881no—
1523C22⋊C4—1881no—
1524C22⋊C4—1881no—
1525C22⋊C4—1881no—
1526C22⋊C4—1881no—
1527C22⋊C4—1881no—
1528C22⋊C4—1881no—
1529C22⋊C4—1881no—
1530C22⋊C4—1881no—
1531C22⋊C4C2×D18814yes—
1532C22⋊C4C2×D18814yes—
1533C42—41no—
1534C42—41no—
1535C42—41no—
1536C42—41no—
1537C42—942no—
1538C42—942no—
1539C42C2×D18814yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—472no—
1553C23—472no—
1554C23—941no—
1555C23—941no—
1556C23—941no—
1557C23—941no—
1558C23—941no—
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—941no—
1574C23—941no—
1575C23—941no—
1576C23—941no—
1577C23—941no—
1578C23—941no—
1579C23—941no—
1580C23—941no—
1581C23—941no—
1582C23—941no—
1583C23—941no—
1584C23—941no—
1585C23—941no—
1586C23—941no—
1587C23—941no—
1588C23—941no—
1589C23—941no—
1590C23—941no—
1591C23—941no—
1592C23—941no—
1593C23—941no—
1594C23—3762no—
1595C23—3762no—
1596C23—3762no—
1597C23—3762no—
1598C23—3762no—
1599C23—3762no—
1600C23—1884no—
1601C23—1884no—
1602C23—1884no—
1603C23—1884no—
1604C23—1884no—
1605C23—1884no—
1606C23—1884no—
1607C23—1884no—
1608C23C22×D18812yes—
1609C23C22×D18812yes—
1610C23C24×D4711yescharacteristic
1611Q8—3762no—
1612Q8—1884no—
1613D4—44no—
1614D4—3762no—
1615D4—3762no—
1616D4—3762no—
1617D4—3762no—
1618D4—3762no—
1619D4—3762no—
1620D4—3762no—
1621D4—3762no—
1622D4—3762no—
1623D4—3762no—
1624D4—3762no—
1625D4—3762no—
1626D4—3762no—
1627D4—3762no—
1628D4—1884no—
1629D4—1884no—
1630D4—1884no—
1631D4—1884no—
1632D4—1884no—
1633D4—1884no—
1634D4—1884no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—472no—
1672C2×C4—948no—
1673C2×C4—941no—
1674C2×C4—941no—
1675C2×C4—941no—
1676C2×C4—941no—
1677C2×C4—941no—
1678C2×C4—941no—
1679C2×C4—941no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—941no—
1685C2×C4—941no—
1686C2×C4—941no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—941no—
1694C2×C4—941no—
1695C2×C4—941no—
1696C2×C4—941no—
1697C2×C4—941no—
1698C2×C4—941no—
1699C2×C4—941no—
1700C2×C4—941no—
1701C2×C4—941no—
1702C2×C4—3762no—
1703C2×C4—3762no—
1704C2×C4—1884no—
1705C2×C4—1884no—
1706C2×C4—1884no—
1707C2×C4—1884no—
1708C2×C4—1884no—
1709C2×C4C22×D18812yes—
1710C2×C4C22×D18812yes—
1711C2×C4C22×D18812yes—
1712C2×C4C22×D18812yes—
1713C2×C4C22×D18812yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—942no—
1729C22—942no—
1730C22—942no—
1731C22—942no—
1732C22—942no—
1733C22—942no—
1734C22—3768no—
1735C22—18816no—
1736C22—1881no—
1737C22—1881no—
1738C22—1881no—
1739C22—1881no—
1740C22—1881no—
1741C22—1881no—
1742C22—1881no—
1743C22—1881no—
1744C22—1881no—
1745C22—1881no—
1746C22—1881no—
1747C22—1881no—
1748C22—1881no—
1749C22—1881no—
1750C22—1881no—
1751C22—1881no—
1752C22—1881no—
1753C22—1881no—
1754C22—1881no—
1755C22—1881no—
1756C22—1881no—
1757C22—1881no—
1758C22—1881no—
1759C22—1881no—
1760C22—1881no—
1761C22—1881no—
1762C22—1881no—
1763C22—1881no—
1764C22—1881no—
1765C22—1881no—
1766C22—1881no—
1767C22—1881no—
1768C22—1881no—
1769C22—1881no—
1770C22—1881no—
1771C22—1881no—
1772C22C23×D18811yescharacteristic
1773C22H(5,𝔽2)×D4711yescharacteristic
1774C22H(5,𝔽2)×D4711yescharacteristic
1775C22H(5,𝔽2)×D4711yescharacteristic
1776C22#1568995911yescharacteristic
1777C22#1568995911yescharacteristic
1778C22#1568996011yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—22no—
1783C4—22no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—942no—
1793C4—1881no—
1794C4—1881no—
1795C4—1881no—
1796C4—1881no—
1797C4—1881no—
1798C4—1881no—
1799C4—1881no—
1800C4—1881no—
1801C4—1881no—
1802C2—42no—
1803C2—42no—
1804C2—3761no—
1805C2—3761no—
1806C2—3761no—
1807C2—3761no—
1808C2—1882no—
1809C2—1882no—
1810C2#2025672111yescharacteristic
1811C2#2025702411yescharacteristic
1812C2#2025705811yescharacteristic
1813C2#2025755111yescharacteristic
1814C2#2025757111yescharacteristic
1815C2#2025765311yescharacteristic
1816C2#2025769511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2319C2
hypercenter#2319D47
hypocenterC47#36724
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2319

Complements

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

NH ≅ G/Ntype
1. C2×#15689706C2semidirect
2. C2×#15689632C2semidirect
3. #20251681C2semidirect
4. #20251671C2semidirect
5. #20250059C2semidirect
6. #20250014C2semidirect
7. #20249984C2semidirect
8. #20249973C2semidirect
9. #20249807C2semidirect
10. #20249750C2semidirect
11. #20249738C2semidirect
12. #20249735C2semidirect
13. #20249723C2semidirect
14. #20249711C2semidirect
15. #20249708C2semidirect
16. #20249708C2semidirect
17. #20249637C2semidirect
18. #20249612C2semidirect
19. #20249603C2semidirect
20. #20249603C2semidirect
21. #20249275C2semidirect
22. #20249229C2semidirect
23. #20249069C2semidirect
24. #20249015C2semidirect
25. #20248979C2semidirect
26. #20248975C2semidirect
27. #20248359C2semidirect
28. #20248280C2semidirect
29. #20246734C2semidirect
30. #20246709C2semidirect
31. C47×#2319C2semidirect
33. C23×C4×D47C22semidirect
36. C2×#13094019C22semidirect
37. C2×#13094018C22semidirect
38. C2×#13094012C22semidirect
39. C2×#13094012C22semidirect
42. C2×#13094009C22semidirect
43. C2×#13094009C22semidirect
48. C2×#13094004C22semidirect
49. C2×#13094002C22semidirect
50. C2×#13094001C22semidirect
51. C2×#13094001C22semidirect
54. C2×#13093999C22semidirect
64. C2×#13093994C22semidirect
65. C2×#13093994C22semidirect
66. C2×#13093994C22semidirect
67. C2×#13093994C22semidirect
70. C2×C4×D188C22semidirect
72. C2×C4×C22⋊D47C22semidirect
73. C2×C4×C22⋊D47C22semidirect
74. C2×#13093981C22semidirect
75. C22×(C2×D47)⋊C4C22semidirect
76. #15689063C22semidirect
77. #15689060C22semidirect
78. #15689055C22semidirect
79. #15689053C22semidirect
80. #15689053C22semidirect
81. #15689050C22semidirect
82. #15689048C22semidirect
83. #15689048C22semidirect
84. #15689045C22semidirect
85. #15689045C22semidirect
86. #15689045C22semidirect
87. #15689045C22semidirect
88. #15689045C22semidirect
89. #15689045C22semidirect
90. #15689044C22semidirect
91. #15689041C22semidirect
92. #15689041C22semidirect
93. #15689041C22semidirect
98. #15689040C22semidirect
99. #15689040C22semidirect
100. #15689040C22semidirect
101. #15689040C22semidirect
106. #15689039C22semidirect
107. #15689039C22semidirect
108. #15689039C22semidirect
109. #15689039C22semidirect
110. #15689036C22semidirect
111. #15689036C22semidirect
112. #15689036C22semidirect
117. #15689033C22semidirect
122. #15689032C22semidirect
123. #15689032C22semidirect
124. #15689029C22semidirect
125. #15689028C22semidirect
129. #15689025C22semidirect
130. #15689025C22semidirect
131. #15689025C22semidirect
132. #15689024C22semidirect
133. #15689021C22semidirect
134. #15689015C22semidirect
135. #15689015C22semidirect
136. #15689015C22semidirect
137. #15689015C22semidirect
138. #15689014C22semidirect
139. #15689014C22semidirect
140. #15689014C22semidirect
141. #15689014C22semidirect
142. #15689014C22semidirect
143. #15689014C22semidirect
144. #15689008C22semidirect
145. #15689008C22semidirect
152. #15689001C22semidirect
153. #15689001C22semidirect
154. #15689001C22semidirect
155. #15689001C22semidirect
156. #15689001C22semidirect
157. #15689001C22semidirect
160. #15689000C22semidirect
161. #15689000C22semidirect
162. #15688997C22semidirect
163. #15688997C22semidirect
164. #15688997C22semidirect
165. #15688997C22semidirect
166. #15688997C22semidirect
167. #15688997C22semidirect
168. #15688984C22semidirect
169. #15688984C22semidirect
170. #15688980C22semidirect
171. #15688980C22semidirect
172. #15688978C22semidirect
173. #15688978C22semidirect
177. C47×#389C22semidirect
178. C47×#389C22semidirect
179. C47×#388C22semidirect
180. C47×#388C22semidirect
181. C47×#388C22semidirect
182. C47×#388C22semidirect
183. C47×#381C22semidirect
184. C47×#381C22semidirect
185. C47×#380C22semidirect
186. C47×#380C22semidirect
187. C4×C4⋊C4×C47C22semidirect
188. C47×#376C22semidirect
358. C4×D4×C47D4semidirect
924. #2319D47semidirect
1045. #389C2×D47semidirect
1046. #389C2×D47semidirect
1057. #388C2×D47semidirect
1058. #388C2×D47semidirect
1059. #388C2×D47semidirect
1060. #388C2×D47semidirect
1087. #381C2×D47semidirect
1088. #381C2×D47semidirect
1091. #380C2×D47semidirect
1092. #380C2×D47semidirect
1095. C4×C4⋊C4C2×D47semidirect
1096. #376C2×D47semidirect
1097. C47#36724semidirect
1178. C4×D4D188semidirect

Maximal subgroups

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

subgroupindex
C2×#156897062
C2×#156896322
#202516812
#202516712
#202500592
#202500142
#202499842
#202499732
#202498072
#202497502
#202497382
#202497352
#202497232
#202497112
#202497082
#202496372
#202496122
#202496032
#202492752
#202492292
#202490692
#202490152
#202489792
#202489752
#202483592
#202482802
#202467342
#202467092
C47×#23192
#3672447