Finite Group Databasebeta

← #26388874

Subgroups — #26388874

Order 12032.

2902 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689705C211yesmaximal, characteristic, complemented
2C2×C4×D4×D47C211yesmaximal, characteristic, complemented
3#20251723C211yesmaximal, characteristic, complemented
4#20251718C211yesmaximal, characteristic, complemented
5#20251679C211yesmaximal, characteristic, complemented
6#20251677C211yesmaximal, characteristic, complemented
7#20249198C211yesmaximal, characteristic, complemented
8#20249121C211yesmaximal, characteristic, complemented
9#20249099C211yesmaximal, characteristic, complemented
10#20249099C211yesmaximal, characteristic, complemented
11#20247431C211yesmaximal, characteristic, complemented
12#20247427C211yesmaximal, characteristic, complemented
13#20247422C211yesmaximal, characteristic, complemented
14#20247418C211yesmaximal, characteristic, complemented
15#20247331C211yesmaximal, characteristic, complemented
16#20247327C211yesmaximal, characteristic, complemented
17#20247324C211yesmaximal, characteristic, complemented
18#20247320C211yesmaximal, characteristic, complemented
19#20247286C211yesmaximal, characteristic, complemented
20#20247285C211yesmaximal, characteristic, complemented
21#20247275C211yesmaximal, characteristic, complemented
22#20247269C211yesmaximal, characteristic, complemented
23#20247267C211yesmaximal, characteristic, complemented
24#20247265C211yesmaximal, characteristic, complemented
25#20247264C211yesmaximal, characteristic, complemented
26#20246058C211yesmaximal, characteristic, complemented
27#20246055C211yesmaximal, characteristic, complemented
28#20245982C211yesmaximal, characteristic, complemented
29#20245893C211yesmaximal, characteristic, complemented
30C4×#13093992C211yesmaximal, characteristic, complemented
31C47×#2456C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689705—28no—
36C2×#13094019C2211yescharacteristic, complemented
37C2×#13094017C2211yescharacteristic, complemented
38C2×#13094011C2211yescharacteristic, complemented
39C2×#13094010C2211yescharacteristic, complemented
40C2×#13094007C2211yescharacteristic, complemented
41C2×#13094006C2211yescharacteristic
42C2×#13094006C2211yescharacteristic
43C2×#13094006C2211yescharacteristic, complemented
44C2×#13094006C2211yescharacteristic, complemented
45C2×#13094005C2211yescharacteristic, complemented
46C2×#13094005C2211yescharacteristic, complemented
47C2×#13094002C2211yescharacteristic
48C2×#13093996C2211yescharacteristic, complemented
49C2×#13093995C2211yescharacteristic
50C2×#13093992C2211yescharacteristic
51C2×#13093992C2211yescharacteristic
52C2×#13093992C2211yescharacteristic
53C2×#13093992C2211yescharacteristic
54C2×C4×D188C2211yescharacteristic
55C2×D4×Dic47C2211yescharacteristic
56C2×D4×Dic47C2211yescharacteristic, complemented
57C2×#13093986C2211yescharacteristic
58C2×C4×C22⋊D47C2211yescharacteristic
59C2×C4×C22⋊D47C2211yescharacteristic
60C2×C4×C22⋊D47C2211yescharacteristic
61C2×C4×C22⋊D47C2211yescharacteristic, complemented
62C2×(C22⋊D47)⋊C4C2211yescharacteristic
63C2×(C22⋊D47)⋊C4C2211yescharacteristic
64C2×(C22⋊D47)⋊C4C2211yescharacteristic
65C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
66C4×D4×D47—28no—
67C2×C4⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C22⋊C4×D47C2211yescharacteristic
70C2×C42×D47C2211yescharacteristic
71#15689059C2211yescharacteristic, complemented
72#15689058C2211yescharacteristic, complemented
73#15689050C2211yescharacteristic, complemented
74#15689048C2211yescharacteristic, complemented
75#15689046C2211yescharacteristic, complemented
76#15689045C2211yescharacteristic, complemented
77#15689045C2211yescharacteristic, complemented
78#15689041C2211yescharacteristic
79#15689041C2211yescharacteristic
80#15689039C2211yescharacteristic
81#15689039C2211yescharacteristic
82#15689039C2211yescharacteristic
83#15689039C2211yescharacteristic
84#15689038C2211yescharacteristic, complemented
85#15689038C2211yescharacteristic, complemented
86#15689037C2211yescharacteristic
87#15689037C2211yescharacteristic
88#15689037C2211yescharacteristic, complemented
89#15689037C2211yescharacteristic, complemented
90#15689036C2211yescharacteristic, complemented
91#15689035C2211yescharacteristic, complemented
92#15689032C2211yescharacteristic
93#15689032C2211yescharacteristic
94#15689031C2211yescharacteristic
95#15689031C2211yescharacteristic
96#15689031C2211yescharacteristic
97#15689031C2211yescharacteristic
98#15689031C2211yescharacteristic, complemented
99#15689027C2211yescharacteristic, complemented
100#15689027C2211yescharacteristic, complemented
101#15689026C2211yescharacteristic, complemented
102#15689022C2211yescharacteristic, complemented
103#15689021C2211yescharacteristic, complemented
104#15689021C2211yescharacteristic, complemented
105#15689020C2211yescharacteristic, complemented
106#15689020C2211yescharacteristic, complemented
107#15689019C2211yescharacteristic, complemented
108#15689018C2211yescharacteristic, complemented
109#15689018C2211yescharacteristic, complemented
110#15689017C2211yescharacteristic, complemented
111#15689017C2211yescharacteristic, complemented
112#15689017C2211yescharacteristic, complemented
113#15689017C2211yescharacteristic, complemented
114#15689016C2211yescharacteristic, complemented
115#15689016C2211yescharacteristic, complemented
116#15689016C2211yescharacteristic, complemented
117#15689016C2211yescharacteristic, complemented
118#15689015C2211yescharacteristic, complemented
119#15689014C2211yescharacteristic, complemented
120#15689013C2211yescharacteristic, complemented
121#15689012C2211yescharacteristic, complemented
122#15689011C2211yescharacteristic, complemented
123#15689011C2211yescharacteristic, complemented
124#15689010C2211yescharacteristic, complemented
125#15689008C2211yescharacteristic, complemented
126#15689008C2211yescharacteristic, complemented
127#15689007C2211yescharacteristic, complemented
128#15689006C2211yescharacteristic, complemented
129#15689004C2211yescharacteristic, complemented
130#15689004C2211yescharacteristic, complemented
131#15689003C2211yescharacteristic, complemented
132#15689003C2211yescharacteristic, complemented
133#15688999C2211yescharacteristic
134#15688999C2211yescharacteristic
135#15688999C2211yescharacteristic
136#15688999C2211yescharacteristic
137#15688999C2211yescharacteristic, complemented
138#15688999C2211yescharacteristic, complemented
139#15688999C2211yescharacteristic, complemented
140#15688999C2211yescharacteristic, complemented
141#15688998C2211yescharacteristic, complemented
142#15688998C2211yescharacteristic, complemented
143#15688997C2211yescharacteristic
144#15688997C2211yescharacteristic
145#15688997C2211yescharacteristic, complemented
146#15688996C2211yescharacteristic, complemented
147#15688996C2211yescharacteristic, complemented
148#15688996C2211yescharacteristic, complemented
149#15688995C2211yescharacteristic, complemented
150#15688995C2211yescharacteristic, complemented
151#15688994C2211yescharacteristic
152#15688994C2211yescharacteristic
153#15688994C2211yescharacteristic, complemented
154#15688994C2211yescharacteristic, complemented
155#15688994C2211yescharacteristic, complemented
156#15688986C2211yescharacteristic, complemented
157#15688985C2211yescharacteristic
158#15688985C2211yescharacteristic
159#15688985C2211yescharacteristic, complemented
160#15688985C2211yescharacteristic, complemented
161#15688984C2211yescharacteristic, complemented
162#15688982C2211yescharacteristic
163#15688980C2211yescharacteristic
164#15688978C2211yescharacteristic
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168C22⋊C4×Dic47C2211yescharacteristic, complemented
169C4×(C2×D47)⋊C4C2211yescharacteristic
170C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
171C4×C22⋊Dic47C2211yescharacteristic, complemented
172#15688970C2211yescharacteristic
173#15688970C2211yescharacteristic, complemented
174C2×#123×C47C2211yescharacteristic, complemented
175C2×#121×C47C2211yescharacteristic, complemented
176C2×C4×D4×C47C2211yescharacteristic
177C2×C4×D4×C47C2211yescharacteristic, complemented
178C47×#396C2211yescharacteristic, complemented
179C47×#392C2211yescharacteristic
180C47×#392C2211yescharacteristic
181C47×#392C2211yescharacteristic, complemented
182C47×#390C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#388C2211yescharacteristic, complemented
185C47×#387C2211yescharacteristic, complemented
186C47×#386C2211yescharacteristic, complemented
187C47×#386C2211yescharacteristic, complemented
188C47×#385C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C2×D4×D47—24no—
202C2×D4×D47—24no—
203C2×D4×D47—24no—
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C22×C4×D47—24no—
208C22×C4×D47—24no—
209C22×C4×D47—42no—
210C22×C4×D47—42no—
211C22×C4×D47—42no—
212C22×C4×D47—42no—
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222#13094019—24no—
223#13094017—24no—
224#13094011—24no—
225#13094010—24no—
226#13094007—24no—
227#13094006—24no—
228#13094006—24no—
229#13094006—42no—
230#13094006—42no—
231#13094005—24no—
232#13094005—42no—
233#13094002—24no—
234#13093996—24no—
235#13093995—24no—
236#13093992—24no—
237#13093992—24no—
238#13093992—24no—
239#13093992—24no—
240C4×D188—24no—
241D4×Dic47—24no—
242D4×Dic47—42no—
243#13093986—24no—
244C4×C22⋊D47—24no—
245C4×C22⋊D47—24no—
246C4×C22⋊D47—24no—
247C4×C22⋊D47—42no—
248(C22⋊D47)⋊C4—24no—
249(C22⋊D47)⋊C4—24no—
250(C22⋊D47)⋊C4—24no—
251(C22⋊D47)⋊C4—42no—
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C4⋊C4×D47—24no—
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×C22⋊Dic47C2311yescharacteristic
292C2×C22⋊Dic47C2311yescharacteristic
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
315C22⋊C4×D47—24no—
316C22⋊C4×D47D418yescomplemented
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C42×D47—24no—
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C22×D4×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C22×D4×C47C2311yescharacteristic
357C22×D4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359C23×C4×C47C2311yescharacteristic
360C23×C4×C47C2311yescharacteristic
361#123×C47—42no—
362#121×C47—24no—
363C4×D4×C47—24no—
364C4×D4×C47—42no—
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊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×C42×C47C2311yescharacteristic
384C2×C42×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C24×C47C2411yescharacteristic
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—22no—
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×D47C2×D414yes—
408C23×D47#4114yes—
409C23×D47C2411yescharacteristic
410C23×D47C2411yescharacteristic
411C23×D47C2411yescharacteristic
412C2×D4×C47—22no—
413C2×D4×C47—22no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C2×D4×C47—22no—
417C2×D4×C47—22no—
418C2×D4×C47—22no—
419C2×D4×C47—22no—
420C2×D4×C47—41no—
421C2×D4×C47—41no—
422C2×D4×C47—41no—
423C2×D4×C47—41no—
424C2×D4×C47—41no—
425C2×D4×C47—41no—
426C2×D4×C47—41no—
427C2×D4×C47—41no—
428C2×D4×C47—41no—
429C2×D4×C47—41no—
430C22×C4×C47—22no—
431C22×C4×C47—22no—
432C22×C4×C47—22no—
433C22×C4×C47—22no—
434C22×C4×C47—22no—
435C22×C4×C47—41no—
436C22×C4×C47—41no—
437C22×C4×C47—41no—
438C22×C4×C47—41no—
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
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
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—41no—
471C2×C22⋊D47—41no—
472C2×C22⋊D47—41no—
473C2×C22⋊D47—41no—
474C22×Dic47—22no—
475C22×Dic47—22no—
476C22×Dic47—22no—
477C22×Dic47—22no—
478C22×Dic47—22no—
479C22×Dic47—41no—
480C22×Dic47—41no—
481C22×Dic47—41no—
482C22×Dic47—41no—
483C22×Dic47C2411yescharacteristic
484C22×Dic47C2411yescharacteristic
485C22×Dic47C2411yescharacteristic
486C22×Dic47C2411yescharacteristic
487C22×Dic47C2411yescharacteristic
488C22×Dic47C2411yescharacteristic
489C22×Dic47C2411yescharacteristic
490C22×Dic47C2411yescharacteristic
491C22×Dic47C2411yescharacteristic
492C22×Dic47C2411yescharacteristic
493C22×Dic47C2411yescharacteristic
494C22×Dic47C2411yescharacteristic
495C22×Dic47C2411yescharacteristic
496D4×D47—232no—
497C2×D188—22no—
498C2×D188—22no—
499C2×D188—22no—
500C2×C4×D47—22no—
501C2×C4×D47—22no—
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—416no—
515C2×C4×D47—416no—
516C2×C4×D47—41no—
517C2×C4×D47—41no—
518C2×C4×D47—41no—
519C2×C4×D47—41no—
520C2×C4×D47—41no—
521C2×C4×D47—41no—
522C2×C4×D47—41no—
523C2×C4×D47—41no—
524C2×C4×D47—41no—
525C2×C4×D47—41no—
526C2×C4×D47C2×D414yes—
527C2×C4×D47C2×D414yes—
528C2×C4×D47#4114yes—
529C2×Dic94—22no—
530C2×Dic94—41no—
531C2×Dic94—41no—
532C4⋊C4×C47—22no—
533C4⋊C4×C47—22no—
534C4⋊C4×C47—22no—
535C4⋊C4×C47—41no—
536C4⋊C4×C47—41no—
537C22⋊C4×C47—22no—
538C22⋊C4×C47—22no—
539C22⋊C4×C47—22no—
540C22⋊C4×C47—22no—
541C22⋊C4×C47—22no—
542C22⋊C4×C47—22no—
543C22⋊C4×C47—41no—
544C22⋊C4×C47—41no—
545C22⋊C4×C47—41no—
546C22⋊C4×C47—41no—
547C22⋊C4×C47—41no—
548C22⋊C4×C47—41no—
549C22⋊C4×C47C2×D414yes—
550C42×C47—22no—
551C42×C47—41no—
552C22⋊Dic47—22no—
553C22⋊Dic47—22no—
554C22⋊Dic47—22no—
555C22⋊Dic47—22no—
556C22⋊Dic47—22no—
557C22⋊Dic47—22no—
558C22⋊Dic47—22no—
559C22⋊Dic47—22no—
560C22⋊Dic47—22no—
561C22⋊Dic47—22no—
562C22⋊Dic47—22no—
563C22⋊Dic47—22no—
564C22⋊Dic47—41no—
565C22⋊Dic47—41no—
566C22⋊Dic47—41no—
567C22⋊Dic47—41no—
568C22⋊Dic47—41no—
569C22⋊Dic47—41no—
570C22⋊Dic47C2×D414yes—
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—41no—
584(C2×D47)⋊C4—41no—
585(C2×D47)⋊C4—41no—
586(C2×D47)⋊C4—41no—
587(C2×D47)⋊C4—41no—
588(C2×D47)⋊C4—41no—
589(C2×D47)⋊C4—41no—
590(C2×D47)⋊C4—41no—
591(C2×D47)⋊C4C2×D414yes—
592(C2×D47)⋊C4C2×D414yes—
593C4⋊Dic47—22no—
594C4⋊Dic47—22no—
595C4⋊Dic47—22no—
596C4⋊Dic47—22no—
597C4⋊Dic47—22no—
598C4⋊Dic47—41no—
599C4⋊Dic47—41no—
600Dic47⋊C4—22no—
601Dic47⋊C4—22no—
602Dic47⋊C4—22no—
603Dic47⋊C4—22no—
604Dic47⋊C4—22no—
605Dic47⋊C4—22no—
606Dic47⋊C4—22no—
607Dic47⋊C4—22no—
608Dic47⋊C4—22no—
609Dic47⋊C4—22no—
610Dic47⋊C4—41no—
611Dic47⋊C4—41no—
612Dic47⋊C4—41no—
613Dic47⋊C4—41no—
614C4×Dic47—22no—
615C4×Dic47—22no—
616C4×Dic47—22no—
617C4×Dic47—22no—
618C4×Dic47—22no—
619C4×Dic47—41no—
620C4×Dic47—41no—
621C4×Dic47—41no—
622C23×C47—21no—
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—21no—
648C23×C47C22×D412yes—
649C23×C47C2×#4112yes—
650C23×C47C2511yescharacteristic
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—28no—
668C22×D47—28no—
669C22×D47—44no—
670C22×D47—44no—
671C22×D47—44no—
672C22×D47—44no—
673C22×D47—44no—
674C22×D47—44no—
675C22×D47—44no—
676C22×D47—44no—
677C22×D47—44no—
678C22×D47—44no—
679C22×D47—44no—
680C22×D47—44no—
681C22×D47C22×D412yes—
682C22×D47C22×D412yes—
683C22×D47C2×#4112yes—
684C22×D47C2×#4112yes—
685C22×D47C2×#4112yes—
686D4×C47—28no—
687D4×C47—44no—
688D4×C47—44no—
689D4×C47—82no—
690D4×C47—82no—
691D4×C47—82no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
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—44no—
722C2×C4×C47—44no—
723C2×C4×C47—82no—
724C2×C4×C47C22×D412yes—
725C2×C4×C47C22×D412yes—
726C2×C4×C47C2×#4112yes—
727C2×C4×C47H(5,𝔽2)12yes—
728C22⋊D47—28no—
729C22⋊D47—28no—
730C22⋊D47—44no—
731C22⋊D47—44no—
732C22⋊D47—44no—
733C22⋊D47—44no—
734C22⋊D47—82no—
735C22⋊D47—82no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
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—44no—
772C2×Dic47—44no—
773C2×Dic47—82no—
774C2×Dic47C22×D412yes—
775C2×Dic47C22×D412yes—
776C2×Dic47C2×#4112yes—
777C2×Dic47H(5,𝔽2)12yes—
778D188—28no—
779C4×D47—28no—
780C4×D47—28no—
781C4×D47—44no—
782C4×D47—44no—
783C4×D47—44no—
784C4×D47—44no—
785C4×D47—44no—
786C4×D47—44no—
787C4×D47—44no—
788Dic94—82no—
789#34986—471nomaximal, Sylow
790C22×C47—22no—
791C22×C47—22no—
792C22×C47—22no—
793C22×C47—22no—
794C22×C47—22no—
795C22×C47—22no—
796C22×C47—41no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47—41no—
806C22×C47—41no—
807C22×C47—41no—
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×C47C23×D411yescharacteristic
819C22×C47C22×#4111yescharacteristic
820C22×C47C22×#4111yescharacteristic
821C22×C47C2×H(5,𝔽2)11yescharacteristic
822C22×C47C2×H(5,𝔽2)11yescharacteristic
823C22×C47#58511yescharacteristic
824C22×C47#58511yescharacteristic
825C2×D47—22no—
826C2×D47—22no—
827C2×D47—22no—
828C2×D47—22no—
829C2×D47—22no—
830C2×D47—22no—
831C2×D47—22no—
832C2×D47—22no—
833C2×D47—22no—
834C2×D47—22no—
835C2×D47—22no—
836C2×D47—22no—
837C2×D47—416no—
838C2×D47—416no—
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#52514yes—
848C4×C47—22no—
849C4×C47—22no—
850C4×C47—22no—
851C4×C47—22no—
852C4×C47—41no—
853C4×C47—41no—
854C4×C47—41no—
855C4×C47—41no—
856C4×C47—41no—
857C4×C47—41no—
858C4×C47—41no—
859Dic47—22no—
860Dic47—22no—
861Dic47—22no—
862Dic47—22no—
863Dic47—41no—
864Dic47—41no—
865Dic47—41no—
866Dic47—41no—
867Dic47—41no—
868Dic47—41no—
869Dic47—41no—
870Dic47—41no—
871Dic47—41no—
872C2×#538—471no—
873C22×C4×D4—471no—
874#2855—471no—
875#2854—471no—
876#2849—471no—
877#2849—471no—
878#2626—471no—
879#2617—471no—
880#2613—471no—
881#2613—471no—
882#2466—471no—
883#2466—471no—
884#2466—471no—
885#2466—471no—
886#2459—471no—
887#2459—471no—
888#2459—471no—
889#2459—471no—
890#2456—471no—
891#2456—471no—
892#2456—471no—
893#2456D4711yescharacteristic, complemented
894#2455—471no—
895#2455—471no—
896#2455—471no—
897#2455—471no—
898#2322—471no—
899#2322—471no—
900#2312—471no—
901C4×#120—471no—
902C4×#120—471no—
903C2×C47—42no—
904C2×C47—42no—
905C2×C47—81no—
906C2×C47—81no—
907C2×C47C2×#52511yescharacteristic
908C2×C47#345911yescharacteristic
909C2×C47#345911yescharacteristic
910C2×C47#348411yescharacteristic
911C2×C47#348511yescharacteristic
912C2×C47#350611yescharacteristic
913C2×C47#350611yescharacteristic
914D47—24no—
915D47—42no—
916D47—42no—
917C23×D4—471no—
918C24×C4—471no—
919C24×C4—471no—
920#538—948no—
921C2×#126—471no—
922C2×#126—471no—
923C2×#124—471no—
924C2×#124—471no—
925C2×#123—471no—
926C2×#123—471no—
927C2×#123—471no—
928C2×#123—471no—
929C2×#123—471no—
930C2×#123—471no—
931C2×#123—471no—
932C2×#123C2×D4711yescharacteristic, complemented
933C2×C22⋊Q8—471no—
934C2×#121—471no—
935C2×#121—471no—
936C2×#121C2×D4711yescharacteristic, complemented
937C2×#120—471no—
938C2×#120—471no—
939C2×#120—471no—
940C2×#120—471no—
941C2×C4×D4—471no—
942C2×C4×D4—471no—
943C2×C4×D4—471no—
944C2×C4×D4—471no—
945C2×C4×D4—471no—
946C2×C4×D4—471no—
947C2×C4×D4—471no—
948C2×C4×D4—471no—
949C2×C4×D4—471no—
950C2×C4×D4—471no—
951C2×C4×D4—471no—
952C2×C4×D4—471no—
953C2×C4×D4—948no—
954C2×C4×D4C2×D4711yescharacteristic
955C2×C4×D4C2×D4711yescharacteristic, complemented
956C22×C4⋊C4—471no—
957C22×C22⋊C4—471no—
958C22×C22⋊C4—471no—
959C22×C42—471no—
960#399—471no—
961#399—471no—
962#397—471no—
963#397—471no—
964#396—471no—
965#396—471no—
966#396—471no—
967#396C2×D4711yescharacteristic, complemented
968#394—471no—
969#394—471no—
970#394—471no—
971#394—471no—
972#394—471no—
973#394—471no—
974#394—471no—
975#394—471no—
976#394—471no—
977#394—471no—
978#394—471no—
979#394—471no—
980#393—471no—
981#393—471no—
982#392—471no—
983#392—471no—
984#392—471no—
985#392—471no—
986#392—471no—
987#392—471no—
988#392—471no—
989#392C2×D4711yescharacteristic
990#392C2×D4711yescharacteristic
991#392C2×D4711yescharacteristic, complemented
992#391—471no—
993#391—471no—
994#390—471no—
995#390C2×D4711yescharacteristic, complemented
996#389—471no—
997#389—471no—
998#389—471no—
999#389—471no—
1000#389—471no—
1001#389—471no—
1002#389—471no—
1003#389—471no—
1004#388—471no—
1005#388—471no—
1006#388—471no—
1007#388—471no—
1008#388—471no—
1009#388—471no—
1010#388—471no—
1011#388—471no—
1012#388—471no—
1013#388—471no—
1014#388—471no—
1015#388—471no—
1016#388—471no—
1017#388—471no—
1018#388C2×D4711yescharacteristic, complemented
1019#388C2×D4711yescharacteristic, complemented
1020#387—471no—
1021#387—471no—
1022#387—471no—
1023#387—471no—
1024#387—471no—
1025#387—471no—
1026#387—471no—
1027#387C2×D4711yescharacteristic, complemented
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#386C2×D4711yescharacteristic, complemented
1039#386C2×D4711yescharacteristic, complemented
1040#385—471no—
1041#385—471no—
1042#385—471no—
1043#385—471no—
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#385C2×D4711yescharacteristic, complemented
1056#381—471no—
1057#381—471no—
1058#381—471no—
1059#381—471no—
1060#381—471no—
1061#381—471no—
1062#380—471no—
1063#380—471no—
1064#379—471no—
1065#379—471no—
1066#379—471no—
1067#379—471no—
1068C4×C22⋊C4—471no—
1069C4×C22⋊C4—471no—
1070C4×C22⋊C4—471no—
1071C4×C22⋊C4—471no—
1072C4×C22⋊C4—471no—
1073C4×C22⋊C4—471no—
1074C47#3498611yescharacteristic, complemented, Sylow
1075C25—471no—
1076C25—471no—
1077C22×Q8—471no—
1078C22×D4—471no—
1079C22×D4—471no—
1080C22×D4—471no—
1081C22×D4—471no—
1082C22×D4—471no—
1083C22×D4—471no—
1084C22×D4—471no—
1085C22×D4—471no—
1086C22×D4—471no—
1087C22×D4—944no—
1088C22×D4—944no—
1089C22×D4—944no—
1090C22×D4C22×D4711yescharacteristic
1091C22×D4C22×D4711yescharacteristic
1092C22×D4C22×D4711yescharacteristic
1093C22×D4C22×D4711yescharacteristic
1094C22×D4C22×D4711yescharacteristic
1095C22×D4C22×D4711yescharacteristic
1096C23×C4—471no—
1097C23×C4—471no—
1098C23×C4—471no—
1099C23×C4—471no—
1100C23×C4—471no—
1101C23×C4—471no—
1102C23×C4—471no—
1103C23×C4—471no—
1104C23×C4—471no—
1105C23×C4—471no—
1106C23×C4—471no—
1107C23×C4—471no—
1108C23×C4—944no—
1109C23×C4—944no—
1110C23×C4—1882no—
1111C23×C4—1882no—
1112C23×C4—1882no—
1113C23×C4—1882no—
1114C23×C4C22×D4711yescharacteristic
1115C23×C4C22×D4711yescharacteristic
1116C23×C4C22×D4711yescharacteristic
1117#126—944no—
1118#126—944no—
1119#124—944no—
1120#124—944no—
1121#123—42no—
1122#123—944no—
1123#123—944no—
1124#123—944no—
1125#123—944no—
1126#123—1882no—
1127#123—1882no—
1128#123—1882no—
1129C22⋊Q8—944no—
1130#121—24no—
1131#121—944no—
1132#121—944no—
1133#120—944no—
1134#120—944no—
1135#120—944no—
1136#120—944no—
1137C4×D4—24no—
1138C4×D4—42no—
1139C4×D4—944no—
1140C4×D4—944no—
1141C4×D4—944no—
1142C4×D4—944no—
1143C4×D4—944no—
1144C4×D4—944no—
1145C4×D4—944no—
1146C4×D4—944no—
1147C4×D4—944no—
1148C4×D4—1882no—
1149C4×D4—1882no—
1150C4×D4—1882no—
1151C2×C4⋊C4—471no—
1152C2×C4⋊C4—471no—
1153C2×C4⋊C4—471no—
1154C2×C4⋊C4—471no—
1155C2×C4⋊C4—471no—
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—944no—
1173C2×C4⋊C4C22×D4711yescharacteristic
1174C2×C4⋊C4C22×D4711yescharacteristic
1175C2×C4⋊C4C22×D4711yescharacteristic
1176C2×C4⋊C4C22×D4711yescharacteristic
1177C2×C4⋊C4C22×D4711yescharacteristic
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—478no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
1222C2×C22⋊C4C22×D4711yescharacteristic
1223C2×C22⋊C4C22×D4711yescharacteristic
1224C2×C22⋊C4C22×D4711yescharacteristic
1225C2×C22⋊C4C22×D4711yescharacteristic
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×C42—471no—
1235C2×C42—471no—
1236C2×C42—471no—
1237C2×C42—471no—
1238C2×C42—471no—
1239C2×C42—471no—
1240C2×C42—471no—
1241C2×C42—471no—
1242C2×C42—944no—
1243C2×C42C22×D4711yescharacteristic
1244C2×C42C22×D4711yescharacteristic
1245#95—471no—
1246#95—471no—
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#95C22×D4711yescharacteristic
1272#95C22×D4711yescharacteristic
1273#95C22×D4711yescharacteristic
1274#95C22×D4711yescharacteristic
1275#95C22×D4711yescharacteristic
1276#95C22×D4711yescharacteristic
1277C24—471no—
1278C24—471no—
1279C24—471no—
1280C24—474no—
1281C24—474no—
1282C24—942no—
1283C24—942no—
1284C24—942no—
1285C24—942no—
1286C24—1881no—
1287C24—1881no—
1288C24—1881no—
1289C24—1881no—
1290C24—1881no—
1291C24—1881no—
1292C24—1881no—
1293C24—1881no—
1294C24C23×D4711yescharacteristic
1295C24C23×D4711yescharacteristic
1296C24C23×D4711yescharacteristic
1297C24C23×D4711yescharacteristic
1298C2×Q8—942no—
1299C2×Q8—1881no—
1300C2×Q8—1881no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—22no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—41no—
1313C2×D4—41no—
1314C2×D4—41no—
1315C2×D4—41no—
1316C2×D4—41no—
1317C2×D4—41no—
1318C2×D4—41no—
1319C2×D4—942no—
1320C2×D4—942no—
1321C2×D4—942no—
1322C2×D4—942no—
1323C2×D4—9432no—
1324C2×D4—942no—
1325C2×D4—942no—
1326C2×D4—942no—
1327C2×D4—942no—
1328C2×D4—942no—
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—1881no—
1340C2×D4—1881no—
1341C2×D4—1881no—
1342C2×D4—1881no—
1343C2×D4—1881no—
1344C2×D4—1881no—
1345C2×D4—1881no—
1346C2×D4—1881no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—471no—
1357C22×C4—471no—
1358C22×C4—471no—
1359C22×C4—471no—
1360C22×C4—474no—
1361C22×C4—474no—
1362C22×C4—474no—
1363C22×C4—471no—
1364C22×C4—471no—
1365C22×C4—471no—
1366C22×C4—471no—
1367C22×C4—471no—
1368C22×C4—471no—
1369C22×C4—471no—
1370C22×C4—471no—
1371C22×C4—471no—
1372C22×C4—942no—
1373C22×C4—942no—
1374C22×C4—942no—
1375C22×C4—942no—
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—1881no—
1392C22×C4—1881no—
1393C22×C4—1881no—
1394C22×C4—1881no—
1395C22×C4—1881no—
1396C22×C4—1881no—
1397C22×C4—1881no—
1398C22×C4—1881no—
1399C22×C4—1881no—
1400C22×C4—1881no—
1401C22×C4—18816no—
1402C22×C4—18816no—
1403C22×C4—1881no—
1404C22×C4—1881no—
1405C22×C4—1881no—
1406C22×C4—1881no—
1407C22×C4C23×D4711yescharacteristic
1408C22×C4C23×D4711yescharacteristic
1409C22×C4C23×D4711yescharacteristic
1410C22×C4C23×D4711yescharacteristic
1411C22×C4C23×D4711yescharacteristic
1412C22×C4C23×D4711yescharacteristic
1413C22×C4C23×D4711yescharacteristic
1414C22×C4C23×D4711yescharacteristic
1415C22×C4C23×D4711yescharacteristic
1416C22×C4C23×D4711yescharacteristic
1417C22×C4C23×D4711yescharacteristic
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—942no—
1424C4⋊C4—942no—
1425C4⋊C4—942no—
1426C4⋊C4—942no—
1427C4⋊C4—942no—
1428C4⋊C4—942no—
1429C4⋊C4—942no—
1430C4⋊C4—942no—
1431C4⋊C4—942no—
1432C4⋊C4—942no—
1433C4⋊C4—942no—
1434C4⋊C4—942no—
1435C4⋊C4—942no—
1436C4⋊C4—942no—
1437C4⋊C4—942no—
1438C4⋊C4—1881no—
1439C4⋊C4—1881no—
1440C4⋊C4—1881no—
1441C4⋊C4—1881no—
1442C4⋊C4—1881no—
1443C4⋊C4—1881no—
1444C22⋊C4—22no—
1445C22⋊C4—22no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—41no—
1451C22⋊C4—41no—
1452C22⋊C4—41no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—474no—
1457C22⋊C4—474no—
1458C22⋊C4—474no—
1459C22⋊C4—942no—
1460C22⋊C4—942no—
1461C22⋊C4—942no—
1462C22⋊C4—942no—
1463C22⋊C4—942no—
1464C22⋊C4—942no—
1465C22⋊C4—942no—
1466C22⋊C4—942no—
1467C22⋊C4—942no—
1468C22⋊C4—942no—
1469C22⋊C4—942no—
1470C22⋊C4—942no—
1471C22⋊C4—942no—
1472C22⋊C4—942no—
1473C22⋊C4—942no—
1474C22⋊C4—942no—
1475C22⋊C4—942no—
1476C22⋊C4—942no—
1477C22⋊C4—942no—
1478C22⋊C4—942no—
1479C22⋊C4—942no—
1480C22⋊C4—942no—
1481C22⋊C4—942no—
1482C22⋊C4—942no—
1483C22⋊C4—1881no—
1484C22⋊C4—1881no—
1485C22⋊C4—1881no—
1486C22⋊C4—1881no—
1487C22⋊C4—1881no—
1488C22⋊C4—1881no—
1489C22⋊C4—1881no—
1490C22⋊C4—1881no—
1491C22⋊C4—1881no—
1492C22⋊C4—1881no—
1493C22⋊C4—1881no—
1494C22⋊C4—1881no—
1495C22⋊C4—1881no—
1496C22⋊C4—1881no—
1497C22⋊C4D4×D4714yes—
1498C42—22no—
1499C42—41no—
1500C42—942no—
1501C42—942no—
1502C42—942no—
1503C42—942no—
1504C42—942no—
1505C42—1881no—
1506C42—1881no—
1507C42—1881no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
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—472no—
1535C23—472no—
1536C23—472no—
1537C23—472no—
1538C23—472no—
1539C23—948no—
1540C23—948no—
1541C23—941no—
1542C23—941no—
1543C23—941no—
1544C23—941no—
1545C23—941no—
1546C23—941no—
1547C23—941no—
1548C23—941no—
1549C23—941no—
1550C23—941no—
1551C23—941no—
1552C23—941no—
1553C23—941no—
1554C23—941no—
1555C23—941no—
1556C23—941no—
1557C23—1884no—
1558C23—1884no—
1559C23—1884no—
1560C23—1884no—
1561C23—1884no—
1562C23—1884no—
1563C23—1884no—
1564C23—1884no—
1565C23—1884no—
1566C23—1884no—
1567C23—1884no—
1568C23—1884no—
1569C23C2×D4×D4712yes—
1570C23#41×D4712yes—
1571C23C24×D4711yescharacteristic
1572Q8—3762no—
1573D4—28no—
1574D4—44no—
1575D4—44no—
1576D4—82no—
1577D4—82no—
1578D4—82no—
1579D4—948no—
1580D4—948no—
1581D4—948no—
1582D4—3762no—
1583D4—3762no—
1584D4—1884no—
1585D4—1884no—
1586D4—1884no—
1587D4—1884no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
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—44no—
1618C2×C4—44no—
1619C2×C4—82no—
1620C2×C4—472no—
1621C2×C4—472no—
1622C2×C4—472no—
1623C2×C4—472no—
1624C2×C4—948no—
1625C2×C4—948no—
1626C2×C4—941no—
1627C2×C4—941no—
1628C2×C4—941no—
1629C2×C4—941no—
1630C2×C4—941no—
1631C2×C4—941no—
1632C2×C4—941no—
1633C2×C4—941no—
1634C2×C4—941no—
1635C2×C4—941no—
1636C2×C4—941no—
1637C2×C4—941no—
1638C2×C4—941no—
1639C2×C4—941no—
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—3762no—
1662C2×C4—1884no—
1663C2×C4—1884no—
1664C2×C4—1884no—
1665C2×C4—1884no—
1666C2×C4—1884no—
1667C2×C4—1884no—
1668C2×C4—1884no—
1669C2×C4—1884no—
1670C2×C4—1884no—
1671C2×C4C2×D4×D4712yes—
1672C2×C4C2×D4×D4712yes—
1673C2×C4#41×D4712yes—
1674C2×C4#1309406912yes—
1675C22—22no—
1676C22—22no—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—474no—
1704C22—942no—
1705C22—942no—
1706C22—942no—
1707C22—942no—
1708C22—942no—
1709C22—942no—
1710C22—942no—
1711C22—942no—
1712C22—942no—
1713C22—942no—
1714C22—942no—
1715C22—942no—
1716C22—18816no—
1717C22—18816no—
1718C22—1881no—
1719C22—1881no—
1720C22—1881no—
1721C22—1881no—
1722C22—1881no—
1723C22—1881no—
1724C22—1881no—
1725C22—1881no—
1726C22C22×D4×D4711yescharacteristic
1727C22C2×#41×D4711yescharacteristic
1728C22C2×#41×D4711yescharacteristic
1729C22H(5,𝔽2)×D4711yescharacteristic
1730C22C2×#1309406911yescharacteristic
1731C22#1568995811yescharacteristic
1732C22#1568995911yescharacteristic
1733C4—22no—
1734C4—22no—
1735C4—22no—
1736C4—22no—
1737C4—41no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—942no—
1745C4—942no—
1746C4—942no—
1747C4—942no—
1748C4—1881no—
1749C4—1881no—
1750C4—1881no—
1751C4—1881no—
1752C4—1881no—
1753C4—1881no—
1754C4—1881no—
1755C4—1881no—
1756C4—1881no—
1757C2—42no—
1758C2—42no—
1759C2—81no—
1760C2—81no—
1761C2—944no—
1762C2—1882no—
1763C2—1882no—
1764C2#525×D4711yescharacteristic
1765C2#2025679511yescharacteristic
1766C2#2025679911yescharacteristic
1767C2#2025701611yescharacteristic
1768C2#2025702511yescharacteristic
1769C2#2025723211yescharacteristic
1770C2#2025723411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2456C2
hypercenter#2456D47
hypocenterC47#34986
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2456

Complements

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

NH ≅ G/Ntype
1. C2×#15689705C2semidirect
2. C2×C4×D4×D47C2semidirect
3. #20251723C2semidirect
4. #20251718C2semidirect
5. #20251679C2semidirect
6. #20251677C2semidirect
7. #20249198C2semidirect
8. #20249121C2semidirect
9. #20249099C2semidirect
10. #20249099C2semidirect
11. #20247431C2semidirect
12. #20247427C2semidirect
13. #20247422C2semidirect
14. #20247418C2semidirect
15. #20247331C2semidirect
16. #20247327C2semidirect
17. #20247324C2semidirect
18. #20247320C2semidirect
19. #20247286C2semidirect
20. #20247285C2semidirect
21. #20247275C2semidirect
22. #20247269C2semidirect
23. #20247267C2semidirect
24. #20247265C2semidirect
25. #20247264C2semidirect
26. #20246058C2semidirect
27. #20246055C2semidirect
28. #20245982C2semidirect
29. #20245893C2semidirect
30. C4×#13093992C2semidirect
31. C47×#2456C2semidirect
36. C2×#13094019C22semidirect
37. C2×#13094017C22semidirect
38. C2×#13094011C22semidirect
39. C2×#13094010C22semidirect
40. C2×#13094007C22semidirect
43. C2×#13094006C22semidirect
44. C2×#13094006C22semidirect
45. C2×#13094005C22semidirect
46. C2×#13094005C22semidirect
48. C2×#13093996C22semidirect
56. C2×D4×Dic47C22semidirect
61. C2×C4×C22⋊D47C22semidirect
65. C2×(C22⋊D47)⋊C4C22semidirect
71. #15689059C22semidirect
72. #15689058C22semidirect
73. #15689050C22semidirect
74. #15689048C22semidirect
75. #15689046C22semidirect
76. #15689045C22semidirect
77. #15689045C22semidirect
84. #15689038C22semidirect
85. #15689038C22semidirect
88. #15689037C22semidirect
89. #15689037C22semidirect
90. #15689036C22semidirect
91. #15689035C22semidirect
98. #15689031C22semidirect
99. #15689027C22semidirect
100. #15689027C22semidirect
101. #15689026C22semidirect
102. #15689022C22semidirect
103. #15689021C22semidirect
104. #15689021C22semidirect
105. #15689020C22semidirect
106. #15689020C22semidirect
107. #15689019C22semidirect
108. #15689018C22semidirect
109. #15689018C22semidirect
110. #15689017C22semidirect
111. #15689017C22semidirect
112. #15689017C22semidirect
113. #15689017C22semidirect
114. #15689016C22semidirect
115. #15689016C22semidirect
116. #15689016C22semidirect
117. #15689016C22semidirect
118. #15689015C22semidirect
119. #15689014C22semidirect
120. #15689013C22semidirect
121. #15689012C22semidirect
122. #15689011C22semidirect
123. #15689011C22semidirect
124. #15689010C22semidirect
125. #15689008C22semidirect
126. #15689008C22semidirect
127. #15689007C22semidirect
128. #15689006C22semidirect
129. #15689004C22semidirect
130. #15689004C22semidirect
131. #15689003C22semidirect
132. #15689003C22semidirect
137. #15688999C22semidirect
138. #15688999C22semidirect
139. #15688999C22semidirect
140. #15688999C22semidirect
141. #15688998C22semidirect
142. #15688998C22semidirect
145. #15688997C22semidirect
146. #15688996C22semidirect
147. #15688996C22semidirect
148. #15688996C22semidirect
149. #15688995C22semidirect
150. #15688995C22semidirect
153. #15688994C22semidirect
154. #15688994C22semidirect
155. #15688994C22semidirect
156. #15688986C22semidirect
159. #15688985C22semidirect
160. #15688985C22semidirect
161. #15688984C22semidirect
168. C22⋊C4×Dic47C22semidirect
170. C4×(C2×D47)⋊C4C22semidirect
171. C4×C22⋊Dic47C22semidirect
173. #15688970C22semidirect
174. C2×#123×C47C22semidirect
175. C2×#121×C47C22semidirect
177. C2×C4×D4×C47C22semidirect
178. C47×#396C22semidirect
181. C47×#392C22semidirect
182. C47×#390C22semidirect
183. C47×#388C22semidirect
184. C47×#388C22semidirect
185. C47×#387C22semidirect
186. C47×#386C22semidirect
187. C47×#386C22semidirect
188. C47×#385C22semidirect
316. C22⋊C4×D47D4semidirect
893. #2456D47semidirect
932. C2×#123C2×D47semidirect
936. C2×#121C2×D47semidirect
955. C2×C4×D4C2×D47semidirect
967. #396C2×D47semidirect
991. #392C2×D47semidirect
995. #390C2×D47semidirect
1018. #388C2×D47semidirect
1019. #388C2×D47semidirect
1027. #387C2×D47semidirect
1038. #386C2×D47semidirect
1039. #386C2×D47semidirect
1055. #385C2×D47semidirect
1074. C47#34986semidirect

Maximal subgroups

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

subgroupindex
C2×#156897052
C2×C4×D4×D472
#202517232
#202517182
#202516792
#202516772
#202491982
#202491212
#202490992
#202474312
#202474272
#202474222
#202474182
#202473312
#202473272
#202473242
#202473202
#202472862
#202472852
#202472752
#202472692
#202472672
#202472652
#202472642
#202460582
#202460552
#202459822
#202458932
C4×#130939922
C47×#24562
#3498647