Finite Group Databasebeta

← #26388975

Subgroups — #26388975

Order 12032.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689722C211yesmaximal, characteristic, complemented
2C2×C4×D4×D47C211yesmaximal, characteristic, complemented
3#20251706C211yesmaximal, characteristic, complemented
4#20251697C211yesmaximal, characteristic, complemented
5#20251683C211yesmaximal, characteristic, complemented
6#20251672C211yesmaximal, characteristic, complemented
7#20249314C211yesmaximal, characteristic, complemented
8#20249292C211yesmaximal, characteristic, complemented
9#20249262C211yesmaximal, characteristic, complemented
10#20249238C211yesmaximal, characteristic, complemented
11#20247637C211yesmaximal, characteristic, complemented
12#20247532C211yesmaximal, characteristic, complemented
13#20247431C211yesmaximal, characteristic, complemented
14#20247381C211yesmaximal, characteristic, complemented
15#20247347C211yesmaximal, characteristic, complemented
16#20247272C211yesmaximal, characteristic, complemented
17#20247190C211yesmaximal, characteristic, complemented
18#20247123C211yesmaximal, characteristic, complemented
19#20247051C211yesmaximal, characteristic, complemented
20#20246933C211yesmaximal, characteristic, complemented
21#20246867C211yesmaximal, characteristic, complemented
22#20246853C211yesmaximal, characteristic, complemented
23#20246782C211yesmaximal, characteristic, complemented
24#20246761C211yesmaximal, characteristic
25#20246714C211yesmaximal, characteristic, complemented
26#20246089C211yesmaximal, characteristic, complemented
27#20246062C211yesmaximal, characteristic, complemented
28#20246016C211yesmaximal, characteristic, complemented
29#20245889C211yesmaximal, characteristic, complemented
30C2×#15688994C211yesmaximal, characteristic, complemented
31C47×#2449C211yesmaximal, characteristic, complemented
32C22×D4×D47C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689722—28no—
36C2×#13094019C2211yescharacteristic, complemented
37C2×#13094019C2211yescharacteristic, complemented
38C2×#13094015C2211yescharacteristic, complemented
39C2×#13094015C2211yescharacteristic, complemented
40C2×#13094009C2211yescharacteristic, complemented
41C2×#13094009C2211yescharacteristic, complemented
42C2×#13094009C2211yescharacteristic, complemented
43C2×#13094008C2211yescharacteristic
44C2×#13094008C2211yescharacteristic, complemented
45C2×#13094005C2211yescharacteristic
46C2×#13094000C2211yescharacteristic
47C2×#13094000C2211yescharacteristic, complemented
48C2×#13094000C2211yescharacteristic, complemented
49C2×#13093998C2211yescharacteristic
50C2×#13093996C2211yescharacteristic
51C2×#13093994C2211yescharacteristic
52C2×#13093994C2211yescharacteristic
53C2×C4×D188C2211yescharacteristic
54C2×D4×Dic47C2211yescharacteristic
55C2×#13093986C2211yescharacteristic
56C2×#13093986C2211yescharacteristic
57C2×#13093986C2211yescharacteristic, complemented
58C2×C4×C22⋊D47C2211yescharacteristic
59C2×C4×C22⋊D47C2211yescharacteristic
60C2×(C22⋊D47)⋊C4C2211yescharacteristic
61C2×(C22⋊D47)⋊C4C2211yescharacteristic
62C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
63C4×D4×D47—28no—
64C22×Dic47⋊C4C2211yescharacteristic, complemented
65C2×C4⋊C4×D47C2211yescharacteristic
66C22×(C2×D47)⋊C4C2211yescharacteristic
67C22×(C2×D47)⋊C4C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C22⋊C4×D47C2211yescharacteristic
70C2×C42×D47C2211yescharacteristic
71#15689065C2211yescharacteristic, complemented
72#15689058C2211yescharacteristic, complemented
73#15689058C2211yescharacteristic, complemented
74#15689056C2211yescharacteristic, complemented
75#15689056C2211yescharacteristic, complemented
76#15689053C2211yescharacteristic, complemented
77#15689052C2211yescharacteristic, complemented
78#15689050C2211yescharacteristic, complemented
79#15689050C2211yescharacteristic, complemented
80#15689049C2211yescharacteristic, complemented
81#15689049C2211yescharacteristic, complemented
82#15689048C2211yescharacteristic, complemented
83#15689045C2211yescharacteristic, complemented
84#15689045C2211yescharacteristic, complemented
85#15689045C2211yescharacteristic, complemented
86#15689041C2211yescharacteristic
87#15689041C2211yescharacteristic
88#15689041C2211yescharacteristic
89#15689040C2211yescharacteristic, complemented
90#15689040C2211yescharacteristic, complemented
91#15689040C2211yescharacteristic, complemented
92#15689039C2211yescharacteristic
93#15689039C2211yescharacteristic
94#15689039C2211yescharacteristic
95#15689039C2211yescharacteristic, complemented
96#15689034C2211yescharacteristic, complemented
97#15689033C2211yescharacteristic
98#15689032C2211yescharacteristic
99#15689021C2211yescharacteristic, complemented
100#15689020C2211yescharacteristic, complemented
101#15689020C2211yescharacteristic, complemented
102#15689017C2211yescharacteristic, complemented
103#15689015C2211yescharacteristic, complemented
104#15689014C2211yescharacteristic, complemented
105#15689013C2211yescharacteristic, complemented
106#15689013C2211yescharacteristic, complemented
107#15689012C2211yescharacteristic, complemented
108#15689011C2211yescharacteristic, complemented
109#15689011C2211yescharacteristic, complemented
110#15689010C2211yescharacteristic, complemented
111#15689010C2211yescharacteristic, complemented
112#15689010C2211yescharacteristic, complemented
113#15689009C2211yescharacteristic, complemented
114#15689009C2211yescharacteristic, complemented
115#15689005C2211yescharacteristic, complemented
116#15689005C2211yescharacteristic, complemented
117#15689005C2211yescharacteristic, complemented
118#15689004C2211yescharacteristic, complemented
119#15689002C2211yescharacteristic
120#15689002C2211yescharacteristic, complemented
121#15689002C2211yescharacteristic, complemented
122#15689002C2211yescharacteristic, complemented
123#15689001C2211yescharacteristic
124#15689001C2211yescharacteristic
125#15689001C2211yescharacteristic
126#15689001C2211yescharacteristic
127#15689001C2211yescharacteristic, complemented
128#15689000C2211yescharacteristic
129#15689000C2211yescharacteristic, complemented
130#15688999C2211yescharacteristic, complemented
131#15688998C2211yescharacteristic, complemented
132#15688997C2211yescharacteristic
133#15688997C2211yescharacteristic
134#15688997C2211yescharacteristic
135#15688997C2211yescharacteristic, complemented
136#15688996C2211yescharacteristic, complemented
137#15688995C2211yescharacteristic, complemented
138#15688995C2211yescharacteristic, complemented
139#15688995C2211yescharacteristic, complemented
140#15688994C2211yescharacteristic
141#15688994C2211yescharacteristic
142#15688994C2211yescharacteristic
143#15688994C2211yescharacteristic
144#15688994C2211yescharacteristic
145#15688994C2211yescharacteristic
146#15688994C2211yescharacteristic
147#15688994C2211yescharacteristic, complemented
148#15688994C2211yescharacteristic, complemented
149#15688994C2211yescharacteristic, complemented
150#15688994C2211yescharacteristic, complemented
151#15688994C2211yescharacteristic, complemented
152#15688994C2211yescharacteristic, complemented
153#15688994C2211yescharacteristic, complemented
154#15688990C2211yescharacteristic, complemented
155#15688988C2211yescharacteristic, complemented
156#15688985C2211yescharacteristic, complemented
157#15688985C2211yescharacteristic, complemented
158#15688984C2211yescharacteristic, complemented
159#15688983C2211yescharacteristic, complemented
160#15688981C2211yescharacteristic, complemented
161#15688980C2211yescharacteristic
162#15688980C2211yescharacteristic
163#15688980C2211yescharacteristic
164#15688980C2211yescharacteristic, complemented
165#15688978C2211yescharacteristic
166#15688978C2211yescharacteristic
167#15688978C2211yescharacteristic
168#15688978C2211yescharacteristic
169C22⋊C4×Dic47C2211yescharacteristic, complemented
170#15688970C2211yescharacteristic
171#15688970C2211yescharacteristic, complemented
172C2×C47⋊#95C2211yescharacteristic, complemented
173C2×C47⋊#95C2211yescharacteristic, complemented
174C2×C22⋊Q8×C47C2211yescharacteristic, complemented
175C2×C22⋊Q8×C47C2211yescharacteristic, complemented
176C2×C4×D4×C47C2211yescharacteristic
177C22×C4⋊C4×C47C2211yescharacteristic, complemented
178C47×#399C2211yescharacteristic, complemented
179C47×#398C2211yescharacteristic, complemented
180C47×#396C2211yescharacteristic, complemented
181C47×#395C2211yescharacteristic, complemented
182C47×#389C2211yescharacteristic, complemented
183C47×#387C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic
186C47×#385C2211yescharacteristic, complemented
187C47×#385C2211yescharacteristic, complemented
188C47×#385C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C22×D188C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×C22⋊D47C2311yescharacteristic
196C22×C22⋊D47C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C2×D4×D47—24no—
200C2×D4×D47—24no—
201C2×D4×D47—24no—
202C23×Dic47C2311yescharacteristic
203C23×Dic47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C22×C4×D47—24no—
207C22×C4×D47—24no—
208C22×C4×D47—42no—
209C22×C4×D47—42no—
210C22×C4×D47—42no—
211C22×C4×D47—42no—
212C22×C4×D47C2311yescharacteristic
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#13094019—24no—
224#13094015—24no—
225#13094015—24no—
226#13094009—24no—
227#13094009—24no—
228#13094009—42no—
229#13094008—24no—
230#13094008—24no—
231#13094005—24no—
232#13094000—24no—
233#13094000—24no—
234#13094000—42no—
235#13093998—24no—
236#13093996—24no—
237#13093994—24no—
238#13093994—42no—
239C4×D188—24no—
240D4×Dic47—24no—
241#13093986—24no—
242#13093986—42no—
243#13093986—42no—
244C4×C22⋊D47—24no—
245C4×C22⋊D47—24no—
246(C22⋊D47)⋊C4—24no—
247(C22⋊D47)⋊C4—24no—
248(C22⋊D47)⋊C4D418yescomplemented
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×Dic47⋊C4—24no—
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C4⋊C4×D47—24no—
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×(C2×D47)⋊C4—24no—
280C2×(C2×D47)⋊C4—42no—
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
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×D47—24no—
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C42×D47—24no—
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C22×Q8×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C23×C4×C47C2311yescharacteristic
355C23×C4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C22⋊Q8×C47—24no—
359C22⋊Q8×C47—42no—
360C4×D4×C47—24no—
361C2×C4⋊C4×C47—42no—
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C4⋊C4×C47C2311yescharacteristic
369C2×C4⋊C4×C47C2311yescharacteristic
370C2×C4⋊C4×C47C2311yescharacteristic
371C2×C4⋊C4×C47C2311yescharacteristic
372C2×C4⋊C4×C47C2311yescharacteristic
373C2×C4⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×C47C2311yescharacteristic
382C2×C42×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C23×D47—22no—
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—22no—
399C23×D47—22no—
400C23×D47—22no—
401C23×D47—22no—
402C23×D47—41no—
403C23×D47—41no—
404C23×D47—41no—
405C23×D47—41no—
406C23×D47#4114yes—
407C23×D47C2411yescharacteristic
408C23×D47C2411yescharacteristic
409C23×D47C2411yescharacteristic
410C23×D47C2411yescharacteristic
411C2×Q8×C47—22no—
412C2×Q8×C47—41no—
413C2×Q8×C47—41no—
414C2×D4×C47—22no—
415C2×D4×C47—22no—
416C2×D4×C47#4114yes—
417C22×C4×C47—22no—
418C22×C4×C47—22no—
419C22×C4×C47—22no—
420C22×C4×C47—22no—
421C22×C4×C47—22no—
422C22×C4×C47—22no—
423C22×C4×C47—41no—
424C22×C4×C47—41no—
425C22×C4×C47—41no—
426C22×C4×C47—41no—
427C22×C4×C47—41no—
428C22×C4×C47—41no—
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C22×C4×C47C2411yescharacteristic
433C22×C4×C47C2411yescharacteristic
434C22×C4×C47C2411yescharacteristic
435C22×C4×C47C2411yescharacteristic
436C22×C4×C47C2411yescharacteristic
437C22×C4×C47C2411yescharacteristic
438C22×C4×C47C2411yescharacteristic
439C22×C4×C47C2411yescharacteristic
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47—22no—
450C2×C22⋊D47—22no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47—41no—
453C2×C22⋊D47C2×D414yes—
454C22×Dic47—22no—
455C22×Dic47—22no—
456C22×Dic47—22no—
457C22×Dic47—22no—
458C22×Dic47—22no—
459C22×Dic47—41no—
460C22×Dic47—41no—
461C22×Dic47—41no—
462C22×Dic47—41no—
463C22×Dic47—41no—
464C22×Dic47—41no—
465C22×Dic47C2×D414yes—
466C22×Dic47C2411yescharacteristic
467C22×Dic47C2411yescharacteristic
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478D4×D47—232no—
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—41no—
488C2×D188—41no—
489C2×D188—41no—
490C2×D188—41no—
491C2×C4×D47—22no—
492C2×C4×D47—22no—
493C2×C4×D47—22no—
494C2×C4×D47—22no—
495C2×C4×D47—22no—
496C2×C4×D47—22no—
497C2×C4×D47—22no—
498C2×C4×D47—22no—
499C2×C4×D47—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—416no—
510C2×C4×D47—416no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×C4×D47—41no—
514C2×C4×D47—41no—
515C2×C4×D47—41no—
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×D47C2×D414yes—
523C4⋊C4×C47—22no—
524C4⋊C4×C47—22no—
525C4⋊C4×C47—22no—
526C4⋊C4×C47—22no—
527C4⋊C4×C47—22no—
528C4⋊C4×C47—22no—
529C4⋊C4×C47—22no—
530C4⋊C4×C47—41no—
531C4⋊C4×C47—41no—
532C4⋊C4×C47—41no—
533C4⋊C4×C47—41no—
534C4⋊C4×C47—41no—
535C22⋊C4×C47—22no—
536C22⋊C4×C47—22no—
537C22⋊C4×C47—22no—
538C22⋊C4×C47—41no—
539C22⋊C4×C47—41no—
540C22⋊C4×C47—41no—
541C22⋊C4×C47—41no—
542C22⋊C4×C47C2×D414yes—
543C42×C47—22no—
544C22⋊Dic47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—22no—
550(C2×D47)⋊C4—22no—
551(C2×D47)⋊C4—22no—
552(C2×D47)⋊C4—22no—
553(C2×D47)⋊C4—22no—
554(C2×D47)⋊C4—22no—
555(C2×D47)⋊C4—22no—
556(C2×D47)⋊C4—22no—
557(C2×D47)⋊C4—22no—
558(C2×D47)⋊C4—22no—
559(C2×D47)⋊C4—22no—
560(C2×D47)⋊C4—22no—
561(C2×D47)⋊C4—22no—
562(C2×D47)⋊C4—22no—
563(C2×D47)⋊C4—22no—
564(C2×D47)⋊C4—22no—
565(C2×D47)⋊C4—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—41no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4—41no—
576(C2×D47)⋊C4—41no—
577(C2×D47)⋊C4—41no—
578(C2×D47)⋊C4—41no—
579(C2×D47)⋊C4—41no—
580(C2×D47)⋊C4—41no—
581(C2×D47)⋊C4—41no—
582(C2×D47)⋊C4—41no—
583(C2×D47)⋊C4C2×D414yes—
584C4⋊Dic47—22no—
585C4⋊Dic47—22no—
586C4⋊Dic47—22no—
587C4⋊Dic47—22no—
588C4⋊Dic47—22no—
589C4⋊Dic47—22no—
590C4⋊Dic47—41no—
591C4⋊Dic47—41no—
592Dic47⋊C4—22no—
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—22no—
596Dic47⋊C4—22no—
597Dic47⋊C4—22no—
598Dic47⋊C4—22no—
599Dic47⋊C4—22no—
600Dic47⋊C4—22no—
601Dic47⋊C4—41no—
602Dic47⋊C4—41no—
603Dic47⋊C4—41no—
604Dic47⋊C4—41no—
605Dic47⋊C4C2×D414yes—
606C4×Dic47—22no—
607C4×Dic47—22no—
608C4×Dic47—22no—
609C4×Dic47—41no—
610C4×Dic47—41no—
611C4×Dic47C2×D414yes—
612C23×C47—21no—
613C23×C47—21no—
614C23×C47—21no—
615C23×C47—21no—
616C23×C47—21no—
617C23×C47—21no—
618C23×C47—21no—
619C23×C47—21no—
620C23×C47—21no—
621C23×C47—21no—
622C23×C47C22×D412yes—
623C23×C47C2×#4112yes—
624C23×C47C2×#4112yes—
625C23×C47C2×#4112yes—
626C23×C47C2511yescharacteristic
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—28no—
632C22×D47—28no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—21no—
638C22×D47—21no—
639C22×D47—21no—
640C22×D47—21no—
641C22×D47—21no—
642C22×D47—21no—
643C22×D47—21no—
644C22×D47—21no—
645C22×D47—28no—
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—21no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—21no—
652C22×D47—21no—
653C22×D47—44no—
654C22×D47—44no—
655C22×D47—44no—
656C22×D47—44no—
657C22×D47—44no—
658C22×D47—44no—
659C22×D47—44no—
660C22×D47—44no—
661C22×D47—44no—
662C22×D47—44no—
663C22×D47—44no—
664C22×D47C22×D412yes—
665C22×D47C2×#4112yes—
666C22×D47C2×#4112yes—
667C22×D47H(5,𝔽2)12yes—
668C22×D472−1+412yes—
669Q8×C47—82no—
670D4×C47—28no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
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—44no—
707C2×C4×C47—44no—
708C2×C4×C47—44no—
709C2×C4×C47—82no—
710C2×C4×C47C22×D412yes—
711C2×C4×C47C22×D412yes—
712C2×C4×C47C2×#4112yes—
713C2×C4×C47H(5,𝔽2)12yes—
714C22⋊D47—28no—
715C22⋊D47—28no—
716C22⋊D47—44no—
717C22⋊D47—82no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
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—44no—
752C2×Dic47—44no—
753C2×Dic47—44no—
754C2×Dic47—82no—
755C2×Dic47C22×D412yes—
756C2×Dic47C22×D412yes—
757C2×Dic47C22×D412yes—
758D188—28no—
759D188—44no—
760D188—44no—
761D188—82no—
762C4×D47—28no—
763C4×D47—28no—
764C4×D47—44no—
765C4×D47—44no—
766C4×D47—44no—
767C4×D47—44no—
768C4×D47—44no—
769C4×D47—44no—
770C4×D47—44no—
771C4×D47—82no—
772#34991—471nomaximal, Sylow
773C22×C47—22no—
774C22×C47—22no—
775C22×C47—22no—
776C22×C47—22no—
777C22×C47—22no—
778C22×C47—22no—
779C22×C47—22no—
780C22×C47—22no—
781C22×C47—22no—
782C22×C47—41no—
783C22×C47—41no—
784C22×C47—41no—
785C22×C47—41no—
786C22×C47#52514yes—
787C22×C47C23×D411yescharacteristic
788C22×C47C22×#4111yescharacteristic
789C22×C47C22×#4111yescharacteristic
790C22×C47C2×H(5,𝔽2)11yescharacteristic
791C22×C47C2×H(5,𝔽2)11yescharacteristic
792C22×C47C2×2−1+411yescharacteristic
793C22×C47#58511yescharacteristic
794C2×D47—22no—
795C2×D47—22no—
796C2×D47—22no—
797C2×D47—22no—
798C2×D47—22no—
799C2×D47—22no—
800C2×D47—22no—
801C2×D47—22no—
802C2×D47—22no—
803C2×D47—22no—
804C2×D47—22no—
805C2×D47—22no—
806C2×D47—416no—
807C2×D47—416no—
808C2×D47—41no—
809C2×D47—41no—
810C2×D47—41no—
811C2×D47—41no—
812C2×D47—41no—
813C2×D47—41no—
814C2×D47—41no—
815C2×D47—41no—
816C2×D47—41no—
817C2×D47—41no—
818C2×D47—41no—
819C2×D47—41no—
820C2×D47—41no—
821C2×D47—41no—
822C2×D47—41no—
823C2×D47#53914yescomplemented
824C4×C47—22no—
825C4×C47—22no—
826C4×C47—22no—
827C4×C47—22no—
828C4×C47—41no—
829C4×C47—41no—
830C4×C47—41no—
831C4×C47—41no—
832C4×C47—41no—
833C4×C47—41no—
834C4×C47—41no—
835C4×C47—41no—
836C4×C47—41no—
837Dic47—22no—
838Dic47—22no—
839Dic47—22no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47—41no—
844Dic47—41no—
845Dic47—41no—
846Dic47—41no—
847Dic47—41no—
848Dic47—41no—
849C2×#539—471no—
850C22×C4×D4—471no—
851#2852—471no—
852#2851—471no—
853#2849—471no—
854#2848—471no—
855#2638—471no—
856#2636—471no—
857#2633—471no—
858#2630—471no—
859#2480—471no—
860#2473—471no—
861#2466—471no—
862#2463—471no—
863#2460—471no—
864#2455—471no—
865#2449—471no—
866#2449D4711yescharacteristic, complemented
867#2443—471no—
868#2437—471no—
869#2425—471no—
870#2419—471no—
871#2418—471no—
872#2412—471no—
873#2410—471no—
874#2405—471no—
875#2325—471no—
876#2322—471no—
877#2318—471no—
878C4×#120—471no—
879C2×#385—471no—
880C2×C47—24no—
881C2×C47—42no—
882C2×C47C2×#52511yescharacteristic
883C2×C47C2×#53911yescharacteristic
884C2×C47#345911yescharacteristic
885C2×C47#348411yescharacteristic
886C2×C47#348911yescharacteristic
887C2×C47#351311yescharacteristic
888C2×C47#352011yescharacteristic
889D47—24no—
890D47—42no—
891D47—42no—
892D47—81no—
893C23×D4—471no—
894C24×C4—471no—
895C24×C4—471no—
896#539—948no—
897C2×#126—471no—
898C2×#126—471no—
899C2×#125—471no—
900C2×#125—471no—
901C2×#123—471no—
902C2×#123—471no—
903C2×#123—471no—
904C2×#123—471no—
905C2×#123—471no—
906C2×#123—471no—
907C2×C22⋊Q8—471no—
908C2×C22⋊Q8—471no—
909C2×C22⋊Q8—471no—
910C2×C22⋊Q8C2×D4711yescharacteristic, complemented
911C2×C22⋊Q8C2×D4711yescharacteristic, complemented
912C2×#121—471no—
913C2×#121—471no—
914C2×#120—471no—
915C2×#120—471no—
916C2×C4×D4—471no—
917C2×C4×D4—471no—
918C2×C4×D4—471no—
919C2×C4×D4—471no—
920C2×C4×D4—471no—
921C2×C4×D4—471no—
922C2×C4×D4—471no—
923C2×C4×D4—471no—
924C2×C4×D4—471no—
925C2×C4×D4—471no—
926C2×C4×D4—948no—
927C2×C4×D4C2×D4711yescharacteristic
928C22×C4⋊C4—471no—
929C22×C4⋊C4—471no—
930C22×C4⋊C4C2×D4711yescharacteristic, complemented
931C22×C22⋊C4—471no—
932C22×C22⋊C4—471no—
933C22×C22⋊C4—471no—
934C22×C22⋊C4—471no—
935C22×C42—471no—
936#400—471no—
937#399—471no—
938#399—471no—
939#399C2×D4711yescharacteristic, complemented
940#398—471no—
941#398—471no—
942#398—471no—
943#398C2×D4711yescharacteristic, complemented
944#397—471no—
945#397—471no—
946#397—471no—
947#397—471no—
948#397—471no—
949#397—471no—
950#396—471no—
951#396—471no—
952#396—471no—
953#396C2×D4711yescharacteristic, complemented
954#395C2×D4711yescharacteristic, complemented
955#394—471no—
956#394—471no—
957#394—471no—
958#394—471no—
959#394—471no—
960#394—471no—
961#394—471no—
962#394—471no—
963#394—471no—
964#394—471no—
965#393—471no—
966#392—471no—
967#392—471no—
968#389—471no—
969#389—471no—
970#389—471no—
971#389C2×D4711yescharacteristic, complemented
972#388—471no—
973#388—471no—
974#388—471no—
975#388—471no—
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#387—471no—
981#387—471no—
982#387—471no—
983#387—471no—
984#387—471no—
985#387—471no—
986#387—471no—
987#387—471no—
988#387—471no—
989#387C2×D4711yescharacteristic, complemented
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#386—471no—
997#386—471no—
998#386—471no—
999#386—471no—
1000#386—471no—
1001#386—471no—
1002#386C2×D4711yescharacteristic
1003#386C2×D4711yescharacteristic
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385—471no—
1009#385—471no—
1010#385—471no—
1011#385—471no—
1012#385—471no—
1013#385—471no—
1014#385—471no—
1015#385—471no—
1016#385—471no—
1017#385—471no—
1018#385—471no—
1019#385—471no—
1020#385—471no—
1021#385—471no—
1022#385—471no—
1023#385—471no—
1024#385—471no—
1025#385—471no—
1026#385—471no—
1027#385C2×D4711yescharacteristic, complemented
1028#385C2×D4711yescharacteristic, complemented
1029#385C2×D4711yescharacteristic, complemented
1030#383—471no—
1031#382—471no—
1032#381—471no—
1033#381—471no—
1034#381—471no—
1035#380—471no—
1036#380—471no—
1037#380—471no—
1038#380—471no—
1039#380—471no—
1040#380—471no—
1041#379—471no—
1042#379—471no—
1043#379—471no—
1044#379—471no—
1045C4×C22⋊C4—471no—
1046C4×C22⋊C4—471no—
1047C4×C22⋊C4—471no—
1048C2×#95—471no—
1049C2×#95—471no—
1050C47#3499111yescharacteristic, complemented, Sylow
1051C25—471no—
1052C25—471no—
1053C22×Q8C22×D4711yescharacteristic
1054C22×D4—471no—
1055C22×D4—471no—
1056C22×D4—471no—
1057C22×D4—471no—
1058C22×D4—471no—
1059C22×D4—471no—
1060C22×D4—471no—
1061C22×D4—471no—
1062C22×D4—944no—
1063C22×D4—944no—
1064C22×D4—944no—
1065C22×D4C22×D4711yescharacteristic
1066C23×C4—471no—
1067C23×C4—471no—
1068C23×C4—471no—
1069C23×C4—471no—
1070C23×C4—471no—
1071C23×C4—471no—
1072C23×C4—471no—
1073C23×C4—471no—
1074C23×C4—471no—
1075C23×C4—471no—
1076C23×C4—471no—
1077C23×C4—471no—
1078C23×C4—471no—
1079C23×C4—471no—
1080C23×C4—944no—
1081C23×C4—944no—
1082C23×C4—1882no—
1083C23×C4—1882no—
1084C23×C4—1882no—
1085C23×C4—1882no—
1086C23×C4C22×D4711yescharacteristic
1087C23×C4C22×D4711yescharacteristic
1088C23×C4C22×D4711yescharacteristic
1089C23×C4C22×D4711yescharacteristic
1090#126—944no—
1091#126—944no—
1092#125—944no—
1093#125—944no—
1094#123—944no—
1095#123—944no—
1096#123—944no—
1097#123—944no—
1098#123—944no—
1099#123—1882no—
1100C22⋊Q8—24no—
1101C22⋊Q8—42no—
1102C22⋊Q8—944no—
1103C22⋊Q8—944no—
1104C22⋊Q8—1882no—
1105#121—944no—
1106#121—944no—
1107#120—944no—
1108#120—1882no—
1109C4×D4—24no—
1110C4×D4—478no—
1111C4×D4—944no—
1112C4×D4—944no—
1113C4×D4—944no—
1114C4×D4—944no—
1115C4×D4—944no—
1116C4×D4—944no—
1117C4×D4—944no—
1118C4×D4—1882no—
1119C4×D4—1882no—
1120C2×C4⋊C4—42no—
1121C2×C4⋊C4—471no—
1122C2×C4⋊C4—471no—
1123C2×C4⋊C4—471no—
1124C2×C4⋊C4—471no—
1125C2×C4⋊C4—471no—
1126C2×C4⋊C4—471no—
1127C2×C4⋊C4—471no—
1128C2×C4⋊C4—471no—
1129C2×C4⋊C4—471no—
1130C2×C4⋊C4—471no—
1131C2×C4⋊C4—471no—
1132C2×C4⋊C4—471no—
1133C2×C4⋊C4—471no—
1134C2×C4⋊C4—471no—
1135C2×C4⋊C4—471no—
1136C2×C4⋊C4—471no—
1137C2×C4⋊C4—471no—
1138C2×C4⋊C4—471no—
1139C2×C4⋊C4—471no—
1140C2×C4⋊C4—471no—
1141C2×C4⋊C4—471no—
1142C2×C4⋊C4—471no—
1143C2×C4⋊C4—944no—
1144C2×C4⋊C4—944no—
1145C2×C4⋊C4C22×D4711yescharacteristic
1146C2×C4⋊C4C22×D4711yescharacteristic
1147C2×C4⋊C4C22×D4711yescharacteristic
1148C2×C4⋊C4C22×D4711yescharacteristic
1149C2×C4⋊C4C22×D4711yescharacteristic
1150C2×C4⋊C4C22×D4711yescharacteristic
1151C2×C4⋊C4C22×D4711yescharacteristic
1152C2×C4⋊C4C22×D4711yescharacteristic
1153C2×C4⋊C4C22×D4711yescharacteristic
1154C2×C4⋊C4C22×D4711yescharacteristic
1155C2×C4⋊C4C22×D4711yescharacteristic
1156C2×C4⋊C4C22×D4711yescharacteristic
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—471no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
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—944no—
1198C2×C22⋊C4—944no—
1199C2×C22⋊C4—944no—
1200C2×C22⋊C4—1882no—
1201C2×C22⋊C4C22×D4711yescharacteristic
1202C2×C22⋊C4C22×D4711yescharacteristic
1203C2×C22⋊C4C22×D4711yescharacteristic
1204C2×C22⋊C4C22×D4711yescharacteristic
1205C2×C22⋊C4C22×D4711yescharacteristic
1206C2×C22⋊C4C22×D4711yescharacteristic
1207C2×C22⋊C4C22×D4711yescharacteristic
1208C2×C22⋊C4C22×D4711yescharacteristic
1209C2×C42—471no—
1210C2×C42—471no—
1211C2×C42—471no—
1212C2×C42—471no—
1213C2×C42—471no—
1214C2×C42—471no—
1215C2×C42—944no—
1216C2×C42C22×D4711yescharacteristic
1217#95—471no—
1218#95—471no—
1219#95—471no—
1220#95—471no—
1221#95—471no—
1222#95—471no—
1223#95—471no—
1224#95—471no—
1225#95—471no—
1226#95—471no—
1227#95—471no—
1228#95—471no—
1229#95—471no—
1230#95—471no—
1231#95—471no—
1232#95—471no—
1233#95—471no—
1234#95—471no—
1235#95—471no—
1236#95—471no—
1237#95—471no—
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95C22×D4711yescharacteristic
1246#95C22×D4711yescharacteristic
1247#95C22×D4711yescharacteristic
1248#95C22×D4711yescharacteristic
1249#95C22×D4711yescharacteristic
1250#95C22×D4711yescharacteristic
1251#95C22×D4711yescharacteristic
1252#95C22×D4711yescharacteristic
1253C24—471no—
1254C24—471no—
1255C24—471no—
1256C24—474no—
1257C24—471no—
1258C24—942no—
1259C24—942no—
1260C24—942no—
1261C24—942no—
1262C24—942no—
1263C24—942no—
1264C24—942no—
1265C24—942no—
1266C24—942no—
1267C24—1881no—
1268C24—1881no—
1269C24—1881no—
1270C24—1881no—
1271C24C23×D4711yescharacteristic
1272C24C23×D4711yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×Q8—41no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—474no—
1279C2×D4—942no—
1280C2×D4—942no—
1281C2×D4—942no—
1282C2×D4—942no—
1283C2×D4—942no—
1284C2×D4—942no—
1285C2×D4—942no—
1286C2×D4—942no—
1287C2×D4—9432no—
1288C2×D4—942no—
1289C2×D4—942no—
1290C2×D4—942no—
1291C2×D4—942no—
1292C2×D4—942no—
1293C2×D4—942no—
1294C2×D4—942no—
1295C2×D4—942no—
1296C2×D4—942no—
1297C2×D4—1881no—
1298C2×D4—1881no—
1299C2×D4—1881no—
1300C2×D4—1881no—
1301C2×D4—1881no—
1302C2×D4—1881no—
1303C2×D4#1062535414yes—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—471no—
1317C22×C4—471no—
1318C22×C4—471no—
1319C22×C4—474no—
1320C22×C4—474no—
1321C22×C4—471no—
1322C22×C4—471no—
1323C22×C4—471no—
1324C22×C4—471no—
1325C22×C4—471no—
1326C22×C4—471no—
1327C22×C4—471no—
1328C22×C4—471no—
1329C22×C4—471no—
1330C22×C4—942no—
1331C22×C4—942no—
1332C22×C4—942no—
1333C22×C4—942no—
1334C22×C4—942no—
1335C22×C4—942no—
1336C22×C4—942no—
1337C22×C4—942no—
1338C22×C4—942no—
1339C22×C4—942no—
1340C22×C4—942no—
1341C22×C4—942no—
1342C22×C4—942no—
1343C22×C4—942no—
1344C22×C4—942no—
1345C22×C4—942no—
1346C22×C4—942no—
1347C22×C4—942no—
1348C22×C4—942no—
1349C22×C4—942no—
1350C22×C4—942no—
1351C22×C4—942no—
1352C22×C4—942no—
1353C22×C4—1881no—
1354C22×C4—1881no—
1355C22×C4—1881no—
1356C22×C4—1881no—
1357C22×C4—1881no—
1358C22×C4—1881no—
1359C22×C4—1881no—
1360C22×C4—1881no—
1361C22×C4—1881no—
1362C22×C4—1881no—
1363C22×C4—1881no—
1364C22×C4—18816no—
1365C22×C4—18816no—
1366C22×C4—1881no—
1367C22×C4—1881no—
1368C22×C4—1881no—
1369C22×C4—1881no—
1370C22×C4—1881no—
1371C22×C4—1881no—
1372C22×C4C23×D4711yescharacteristic
1373C22×C4C23×D4711yescharacteristic
1374C22×C4C23×D4711yescharacteristic
1375C22×C4C23×D4711yescharacteristic
1376C22×C4C23×D4711yescharacteristic
1377C22×C4C23×D4711yescharacteristic
1378C22×C4C23×D4711yescharacteristic
1379C22×C4C23×D4711yescharacteristic
1380C22×C4C23×D4711yescharacteristic
1381C22×C4C23×D4711yescharacteristic
1382C22×C4C23×D4711yescharacteristic
1383C22×C4C23×D4711yescharacteristic
1384C22×C4C23×D4711yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4—41no—
1396C4⋊C4—41no—
1397C4⋊C4—474no—
1398C4⋊C4—942no—
1399C4⋊C4—942no—
1400C4⋊C4—942no—
1401C4⋊C4—942no—
1402C4⋊C4—942no—
1403C4⋊C4—942no—
1404C4⋊C4—942no—
1405C4⋊C4—942no—
1406C4⋊C4—942no—
1407C4⋊C4—942no—
1408C4⋊C4—942no—
1409C4⋊C4—942no—
1410C4⋊C4—942no—
1411C4⋊C4—942no—
1412C4⋊C4—942no—
1413C4⋊C4—1881no—
1414C4⋊C4—1881no—
1415C4⋊C4—1881no—
1416C4⋊C4—1881no—
1417C4⋊C4—1881no—
1418C4⋊C4—1881no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4—41no—
1425C22⋊C4—41no—
1426C22⋊C4—474no—
1427C22⋊C4—942no—
1428C22⋊C4—942no—
1429C22⋊C4—942no—
1430C22⋊C4—942no—
1431C22⋊C4—942no—
1432C22⋊C4—942no—
1433C22⋊C4—942no—
1434C22⋊C4—942no—
1435C22⋊C4—942no—
1436C22⋊C4—942no—
1437C22⋊C4—942no—
1438C22⋊C4—942no—
1439C22⋊C4—942no—
1440C22⋊C4—942no—
1441C22⋊C4—942no—
1442C22⋊C4—942no—
1443C22⋊C4—942no—
1444C22⋊C4—942no—
1445C22⋊C4—942no—
1446C22⋊C4—942no—
1447C22⋊C4—942no—
1448C22⋊C4—942no—
1449C22⋊C4—942no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—1881no—
1456C22⋊C4—1881no—
1457C22⋊C4—1881no—
1458C22⋊C4—1881no—
1459C22⋊C4—1881no—
1460C22⋊C4—1881no—
1461C22⋊C4—1881no—
1462C22⋊C4—1881no—
1463C22⋊C4—1881no—
1464C22⋊C4—1881no—
1465C22⋊C4—1881no—
1466C22⋊C4D4×D4714yes—
1467C42—22no—
1468C42—474no—
1469C42—942no—
1470C42—942no—
1471C42—942no—
1472C42—1881no—
1473C42—1881no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—472no—
1485C23—472no—
1486C23—472no—
1487C23—472no—
1488C23—472no—
1489C23—948no—
1490C23—948no—
1491C23—941no—
1492C23—941no—
1493C23—941no—
1494C23—941no—
1495C23—948no—
1496C23—941no—
1497C23—941no—
1498C23—941no—
1499C23—941no—
1500C23—941no—
1501C23—941no—
1502C23—941no—
1503C23—941no—
1504C23—941no—
1505C23—941no—
1506C23—941no—
1507C23—941no—
1508C23—941no—
1509C23—941no—
1510C23—941no—
1511C23—941no—
1512C23—941no—
1513C23—941no—
1514C23—941no—
1515C23—1884no—
1516C23—1884no—
1517C23—1884no—
1518C23—1884no—
1519C23—1884no—
1520C23—1884no—
1521C23—1884no—
1522C23—1884no—
1523C23—1884no—
1524C23—1884no—
1525C23—1884no—
1526C23C2×D4×D4712yes—
1527C23#41×D4712yes—
1528C23C2×#1062535412yes—
1529C23C2×#1062535412yes—
1530C23C24×D4711yescharacteristic
1531Q8—82no—
1532D4—28no—
1533D4—948no—
1534D4—948no—
1535D4—948no—
1536D4—3762no—
1537D4—3762no—
1538D4—1884no—
1539D4—1884no—
1540D4—1884no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—82no—
1580C2×C4—472no—
1581C2×C4—472no—
1582C2×C4—472no—
1583C2×C4—948no—
1584C2×C4—948no—
1585C2×C4—941no—
1586C2×C4—941no—
1587C2×C4—941no—
1588C2×C4—941no—
1589C2×C4—941no—
1590C2×C4—941no—
1591C2×C4—941no—
1592C2×C4—941no—
1593C2×C4—941no—
1594C2×C4—941no—
1595C2×C4—941no—
1596C2×C4—941no—
1597C2×C4—941no—
1598C2×C4—941no—
1599C2×C4—941no—
1600C2×C4—941no—
1601C2×C4—941no—
1602C2×C4—941no—
1603C2×C4—941no—
1604C2×C4—941no—
1605C2×C4—941no—
1606C2×C4—941no—
1607C2×C4—941no—
1608C2×C4—941no—
1609C2×C4—941no—
1610C2×C4—941no—
1611C2×C4—941no—
1612C2×C4—941no—
1613C2×C4—941no—
1614C2×C4—941no—
1615C2×C4—941no—
1616C2×C4—941no—
1617C2×C4—941no—
1618C2×C4—3762no—
1619C2×C4—3762no—
1620C2×C4—1884no—
1621C2×C4—1884no—
1622C2×C4—1884no—
1623C2×C4—1884no—
1624C2×C4—1884no—
1625C2×C4—1884no—
1626C2×C4—1884no—
1627C2×C4—1884no—
1628C2×C4—1884no—
1629C2×C4—1884no—
1630C2×C4C2×D4×D4712yes—
1631C2×C4C2×D4×D4712yes—
1632C2×C4C2×#1062535412yes—
1633C2×C4#1309406912yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—474no—
1648C22—942no—
1649C22—942no—
1650C22—942no—
1651C22—942no—
1652C22—942no—
1653C22—942no—
1654C22—942no—
1655C22—942no—
1656C22—942no—
1657C22—942no—
1658C22—942no—
1659C22—942no—
1660C22—18816no—
1661C22—18816no—
1662C22—1881no—
1663C22—1881no—
1664C22—1881no—
1665C22—1881no—
1666C22—1881no—
1667C22—1881no—
1668C22—1881no—
1669C22—1881no—
1670C22—1881no—
1671C22—1881no—
1672C22—1881no—
1673C22—1881no—
1674C22—1881no—
1675C22—1881no—
1676C22—1881no—
1677C22#1568963614yes—
1678C22C22×D4×D4711yescharacteristic
1679C22C2×#41×D4711yescharacteristic
1680C22C22×#1062535411yescharacteristic
1681C22H(5,𝔽2)×D4711yescharacteristic
1682C22C2×#1309406911yescharacteristic
1683C222−1+4×D4711yescharacteristic
1684C22#1568995911yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—942no—
1699C4—942no—
1700C4—942no—
1701C4—1881no—
1702C4—1881no—
1703C4—1881no—
1704C4—1881no—
1705C4—1881no—
1706C4—1881no—
1707C4—1881no—
1708C4—1881no—
1709C4—1881no—
1710C2—24no—
1711C2—42no—
1712C2—944no—
1713C2—3761no—
1714C2—1882no—
1715C2—1882no—
1716C2C2×#1568963611yescharacteristic
1717C2#539×D4711yescharacteristic
1718C2#2025679511yescharacteristic
1719C2#2025701611yescharacteristic
1720C2#2025706211yescharacteristic
1721C2#2025733111yescharacteristic
1722C2#2025743811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2449C2
prime radical#20246761C2
hypercenter#2449D47
hypocenterC47#34991
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#15689722C2semidirect
2. C2×C4×D4×D47C2semidirect
3. #20251706C2semidirect
4. #20251697C2semidirect
5. #20251683C2semidirect
6. #20251672C2semidirect
7. #20249314C2semidirect
8. #20249292C2semidirect
9. #20249262C2semidirect
10. #20249238C2semidirect
11. #20247637C2semidirect
12. #20247532C2semidirect
13. #20247431C2semidirect
14. #20247381C2semidirect
15. #20247347C2semidirect
16. #20247272C2semidirect
17. #20247190C2semidirect
18. #20247123C2semidirect
19. #20247051C2semidirect
20. #20246933C2semidirect
21. #20246867C2semidirect
22. #20246853C2semidirect
23. #20246782C2semidirect
25. #20246714C2semidirect
26. #20246089C2semidirect
27. #20246062C2semidirect
28. #20246016C2semidirect
29. #20245889C2semidirect
30. C2×#15688994C2semidirect
31. C47×#2449C2semidirect
36. C2×#13094019C22semidirect
37. C2×#13094019C22semidirect
38. C2×#13094015C22semidirect
39. C2×#13094015C22semidirect
40. C2×#13094009C22semidirect
41. C2×#13094009C22semidirect
42. C2×#13094009C22semidirect
44. C2×#13094008C22semidirect
47. C2×#13094000C22semidirect
48. C2×#13094000C22semidirect
57. C2×#13093986C22semidirect
62. C2×(C22⋊D47)⋊C4C22semidirect
64. C22×Dic47⋊C4C22semidirect
71. #15689065C22semidirect
72. #15689058C22semidirect
73. #15689058C22semidirect
74. #15689056C22semidirect
75. #15689056C22semidirect
76. #15689053C22semidirect
77. #15689052C22semidirect
78. #15689050C22semidirect
79. #15689050C22semidirect
80. #15689049C22semidirect
81. #15689049C22semidirect
82. #15689048C22semidirect
83. #15689045C22semidirect
84. #15689045C22semidirect
85. #15689045C22semidirect
89. #15689040C22semidirect
90. #15689040C22semidirect
91. #15689040C22semidirect
95. #15689039C22semidirect
96. #15689034C22semidirect
99. #15689021C22semidirect
100. #15689020C22semidirect
101. #15689020C22semidirect
102. #15689017C22semidirect
103. #15689015C22semidirect
104. #15689014C22semidirect
105. #15689013C22semidirect
106. #15689013C22semidirect
107. #15689012C22semidirect
108. #15689011C22semidirect
109. #15689011C22semidirect
110. #15689010C22semidirect
111. #15689010C22semidirect
112. #15689010C22semidirect
113. #15689009C22semidirect
114. #15689009C22semidirect
115. #15689005C22semidirect
116. #15689005C22semidirect
117. #15689005C22semidirect
118. #15689004C22semidirect
120. #15689002C22semidirect
121. #15689002C22semidirect
122. #15689002C22semidirect
127. #15689001C22semidirect
129. #15689000C22semidirect
130. #15688999C22semidirect
131. #15688998C22semidirect
135. #15688997C22semidirect
136. #15688996C22semidirect
137. #15688995C22semidirect
138. #15688995C22semidirect
139. #15688995C22semidirect
147. #15688994C22semidirect
148. #15688994C22semidirect
149. #15688994C22semidirect
150. #15688994C22semidirect
151. #15688994C22semidirect
152. #15688994C22semidirect
153. #15688994C22semidirect
154. #15688990C22semidirect
155. #15688988C22semidirect
156. #15688985C22semidirect
157. #15688985C22semidirect
158. #15688984C22semidirect
159. #15688983C22semidirect
160. #15688981C22semidirect
164. #15688980C22semidirect
169. C22⋊C4×Dic47C22semidirect
171. #15688970C22semidirect
172. C2×C47⋊#95C22semidirect
173. C2×C47⋊#95C22semidirect
174. C2×C22⋊Q8×C47C22semidirect
175. C2×C22⋊Q8×C47C22semidirect
177. C22×C4⋊C4×C47C22semidirect
178. C47×#399C22semidirect
179. C47×#398C22semidirect
180. C47×#396C22semidirect
181. C47×#395C22semidirect
182. C47×#389C22semidirect
183. C47×#387C22semidirect
186. C47×#385C22semidirect
187. C47×#385C22semidirect
188. C47×#385C22semidirect
248. (C22⋊D47)⋊C4D4semidirect
823. C2×D47#539semidirect
866. #2449D47semidirect
910. C2×C22⋊Q8C2×D47semidirect
911. C2×C22⋊Q8C2×D47semidirect
930. C22×C4⋊C4C2×D47semidirect
939. #399C2×D47semidirect
943. #398C2×D47semidirect
953. #396C2×D47semidirect
954. #395C2×D47semidirect
971. #389C2×D47semidirect
989. #387C2×D47semidirect
1027. #385C2×D47semidirect
1028. #385C2×D47semidirect
1029. #385C2×D47semidirect
1050. C47#34991semidirect

Maximal subgroups

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

subgroupindex
C2×#156897222
C2×C4×D4×D472
#202517062
#202516972
#202516832
#202516722
#202493142
#202492922
#202492622
#202492382
#202476372
#202475322
#202474312
#202473812
#202473472
#202472722
#202471902
#202471232
#202470512
#202469332
#202468672
#202468532
#202467822
#202467612
#202467142
#202460892
#202460622
#202460162
#202458892
C2×#156889942
C47×#24492
#3499147