Finite Group Databasebeta

← #26384943

Subgroups — #26384943

Order 12032.

2938 conjugacy classes of subgroups.

The subgroup lattice has 1714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689632C211yesmaximal, characteristic, complemented
2C2×C4×#10625350C211yesmaximal, characteristic, complemented
3#20247594C211yesmaximal, characteristic, complemented
4#20247571C211yesmaximal, characteristic, complemented
5#20247506C211yesmaximal, characteristic, complemented
6#20247483C211yesmaximal, characteristic, complemented
7#20247414C211yesmaximal, characteristic, complemented
8#20247391C211yesmaximal, characteristic, complemented
9#20247317C211yesmaximal, characteristic, complemented
10#20247294C211yesmaximal, characteristic, complemented
11#20247211C211yesmaximal, characteristic, complemented
12#20247137C211yesmaximal, characteristic, complemented
13#20247063C211yesmaximal, characteristic, complemented
14#20246997C211yesmaximal, characteristic, complemented
15#20246929C211yesmaximal, characteristic, complemented
16#20246847C211yesmaximal, characteristic, complemented
17#20246772C211yesmaximal, characteristic, complemented
18#20246705C211yesmaximal, characteristic, complemented
19#20246675C211yesmaximal, characteristic, complemented
20#20246664C211yesmaximal, characteristic, complemented
21#20246630C211yesmaximal, characteristic, complemented
22#20246604C211yesmaximal, characteristic, complemented
23C4×#13094009C211yesmaximal, characteristic, complemented
24C4×#13093999C211yesmaximal, characteristic, complemented
25C4×#13093997C211yesmaximal, characteristic, complemented
26C4×#13093994C211yesmaximal, characteristic, complemented
27#20245878C211yesmaximal, characteristic, complemented
28#20245834C211yesmaximal, characteristic, complemented
29#20245829C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C4×#123×C47C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C22×#10625350C2211yescharacteristic
34C23×C4×D47C2211yescharacteristic
35#15689632—28no—
36C2×#13094009C2211yescharacteristic
37C2×#13094009C2211yescharacteristic
38C2×#13094006C2211yescharacteristic
39C2×#13094002C2211yescharacteristic
40C2×#13094001C2211yescharacteristic
41C2×#13093999C2211yescharacteristic
42C2×#13093997C2211yescharacteristic
43C2×#13093997C2211yescharacteristic
44C2×#13093996C2211yescharacteristic
45C2×#13093994C2211yescharacteristic
46C2×#13093994C2211yescharacteristic
47C2×#13093992C2211yescharacteristic
48C4×#10625350—28no—
49C2×C4×Dic94C2211yescharacteristic, complemented
50C2×C4×Dic94C2211yescharacteristic, complemented
51C2×C4×D188C2211yescharacteristic
52C2×C4×D188C2211yescharacteristic
53C2×C4×D188C2211yescharacteristic
54C2×C4×D188C2211yescharacteristic
55C2×C4×D188C2211yescharacteristic, complemented
56C2×C4×C22⋊D47C2211yescharacteristic
57C2×C4×C22⋊D47C2211yescharacteristic
58C2×C4×C22⋊D47C2211yescharacteristic
59C2×C4×C22⋊D47C2211yescharacteristic
60C2×C4×C22⋊D47C2211yescharacteristic, complemented
61C2×C4×C22⋊D47C2211yescharacteristic, complemented
62C2×#13093983C2211yescharacteristic, complemented
63C2×#13093983C2211yescharacteristic, complemented
64C2×#13093981C2211yescharacteristic
65C2×#13093981C2211yescharacteristic
66C2×#13093981C2211yescharacteristic, complemented
67C2×C22⋊C4×D47C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C42×D47C2211yescharacteristic
70C2×C42×D47C2211yescharacteristic
71C2×C42×D47C2211yescharacteristic, complemented
72#15689065C2211yescharacteristic, complemented
73#15689064C2211yescharacteristic, complemented
74#15689064C2211yescharacteristic, complemented
75#15689058C2211yescharacteristic
76#15689057C2211yescharacteristic, complemented
77#15689056C2211yescharacteristic, complemented
78#15689054C2211yescharacteristic, complemented
79#15689052C2211yescharacteristic, complemented
80#15689051C2211yescharacteristic
81#15689051C2211yescharacteristic, complemented
82#15689047C2211yescharacteristic
83#15689046C2211yescharacteristic
84#15689045C2211yescharacteristic
85#15689045C2211yescharacteristic, complemented
86#15689044C2211yescharacteristic, complemented
87#15689043C2211yescharacteristic, complemented
88#15689041C2211yescharacteristic
89#15689039C2211yescharacteristic
90#15689039C2211yescharacteristic
91#15689039C2211yescharacteristic
92#15689039C2211yescharacteristic, complemented
93#15689038C2211yescharacteristic
94#15689038C2211yescharacteristic, complemented
95#15689037C2211yescharacteristic
96#15689036C2211yescharacteristic
97#15689036C2211yescharacteristic, complemented
98#15689036C2211yescharacteristic, complemented
99#15689035C2211yescharacteristic
100#15689033C2211yescharacteristic
101#15689032C2211yescharacteristic
102#15689032C2211yescharacteristic, complemented
103#15689031C2211yescharacteristic
104#15689029C2211yescharacteristic, complemented
105#15689029C2211yescharacteristic, complemented
106#15689025C2211yescharacteristic
107#15689025C2211yescharacteristic
108#15689024C2211yescharacteristic, complemented
109#15689023C2211yescharacteristic
110#15689022C2211yescharacteristic, complemented
111#15689020C2211yescharacteristic, complemented
112#15689017C2211yescharacteristic, complemented
113#15689017C2211yescharacteristic, complemented
114#15689016C2211yescharacteristic
115#15689015C2211yescharacteristic, complemented
116#15689015C2211yescharacteristic, complemented
117#15689013C2211yescharacteristic
118#15689013C2211yescharacteristic
119#15689013C2211yescharacteristic, complemented
120#15689012C2211yescharacteristic, complemented
121#15689012C2211yescharacteristic, complemented
122#15689010C2211yescharacteristic, complemented
123#15689010C2211yescharacteristic, complemented
124#15689010C2211yescharacteristic, complemented
125#15689009C2211yescharacteristic, complemented
126#15689006C2211yescharacteristic, complemented
127#15689006C2211yescharacteristic, complemented
128#15689002C2211yescharacteristic
129#15689002C2211yescharacteristic
130#15689002C2211yescharacteristic, complemented
131#15689002C2211yescharacteristic, complemented
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic
137#15689001C2211yescharacteristic
138#15689001C2211yescharacteristic
139#15689001C2211yescharacteristic, complemented
140#15689000C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688998C2211yescharacteristic
145#15688997C2211yescharacteristic
146#15688997C2211yescharacteristic
147#15688997C2211yescharacteristic
148#15688997C2211yescharacteristic
149#15688994C2211yescharacteristic
150#15688994C2211yescharacteristic, complemented
151#15688994C2211yescharacteristic, complemented
152#15688985C2211yescharacteristic
153#15688982C2211yescharacteristic, complemented
154#15688980C2211yescharacteristic
155#15688978C2211yescharacteristic
156C4×Dic47⋊C4C2211yescharacteristic, complemented
157C4×Dic47⋊C4C2211yescharacteristic, complemented
158C22⋊C4×Dic47C2211yescharacteristic
159C22⋊C4×Dic47C2211yescharacteristic
160C4×(C2×D47)⋊C4C2211yescharacteristic
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
166C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
167C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
168C4×C22⋊Dic47C2211yescharacteristic
169#15688970C2211yescharacteristic
170#15688970C2211yescharacteristic
171#15688969C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic
173#95×D47C2211yescharacteristic
174C2×#123×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic
176C22×C42×C47C2211yescharacteristic, complemented
177C47×#388C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#387C2211yescharacteristic, complemented
180C47×#387C2211yescharacteristic, complemented
181C47×#386C2211yescharacteristic
182C47×#385C2211yescharacteristic, complemented
183C47×#381C2211yescharacteristic, complemented
184C4×C4⋊C4×C47C2211yescharacteristic, complemented
185C4×C4⋊C4×C47C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic
188C4×C22⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C2×#10625350—24no—
191C2×#10625350—24no—
192C2×#10625350—24no—
193C2×#10625350—24no—
194C2×#10625350—24no—
195C2×#10625350—42no—
196C22×Dic94C2311yescharacteristic
197C22×Dic94C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×D188C2311yescharacteristic
201C22×D188C2311yescharacteristic
202C22×D188C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C23×Dic47C2311yescharacteristic
210C22×C4×D47—24no—
211C22×C4×D47—24no—
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
222C22×C4×D47C2311yescharacteristic
223C22×C4×D47C2311yescharacteristic
224C22×C4×D47C2311yescharacteristic
225#13094009—24no—
226#13094009—24no—
227#13094006—24no—
228#13094002—24no—
229#13094001—24no—
230#13093999—24no—
231#13093997—24no—
232#13093997—24no—
233#13093996—24no—
234#13093994—24no—
235#13093994—24no—
236#13093992—24no—
237C4×Dic94—24no—
238C4×Dic94—24no—
239C4×D188—24no—
240C4×D188—24no—
241C4×D188—24no—
242C4×D188—24no—
243C4×D188—42no—
244C4×C22⋊D47—24no—
245C4×C22⋊D47—24no—
246C4×C22⋊D47—24no—
247C4×C22⋊D47—24no—
248C4×C22⋊D47—42no—
249C4×C22⋊D47D418yescomplemented
250#13093983—24no—
251#13093983—42no—
252#13093981—24no—
253#13093981—24no—
254#13093981—24no—
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
258C2×C4⋊Dic47C2311yescharacteristic
259C2×C4⋊Dic47C2311yescharacteristic
260C2×C4⋊Dic47C2311yescharacteristic
261C2×C4⋊Dic47C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
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
312C22⋊C4×D47—24no—
313C22⋊C4×D47—24no—
314C2×C4×Dic47C2311yescharacteristic
315C2×C4×Dic47C2311yescharacteristic
316C2×C4×Dic47C2311yescharacteristic
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C42×D47—24no—
325C42×D47—24no—
326C42×D47—42no—
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
352C47⋊#95C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C23×C4×C47C2311yescharacteristic
355C23×C4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358#123×C47—24no—
359C4×D4×C47—24no—
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C42×C47—24no—
374C2×C42×C47C2311yescharacteristic
375C2×C42×C47C2311yescharacteristic
376C2×C42×C47C2311yescharacteristic
377C2×C42×C47C2311yescharacteristic
378C2×C42×C47C2311yescharacteristic
379C2×C42×C47C2311yescharacteristic
380C2×C42×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C23×D47—22no—
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47C2411yescharacteristic
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×D4×C47—22no—
405C2×D4×C47—22no—
406C2×D4×C47—41no—
407C22×C4×C47—22no—
408C22×C4×C47—22no—
409C22×C4×C47—22no—
410C22×C4×C47—22no—
411C22×C4×C47—22no—
412C22×C4×C47—22no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—22no—
417C22×C4×C47—41no—
418C22×C4×C47C2×D414yes—
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C22×C4×C47C2411yescharacteristic
424C22×C4×C47C2411yescharacteristic
425C22×C4×C47C2411yescharacteristic
426C22×C4×C47C2411yescharacteristic
427C22×C4×C47C2411yescharacteristic
428C22×C4×C47C2411yescharacteristic
429C22×C4×C47C2411yescharacteristic
430C22×C4×C47C2411yescharacteristic
431C22×C4×C47C2411yescharacteristic
432C2×C22⋊D47—22no—
433C2×C22⋊D47—22no—
434C2×C22⋊D47—22no—
435C2×C22⋊D47—22no—
436C2×C22⋊D47—22no—
437C2×C22⋊D47—22no—
438C2×C22⋊D47—22no—
439C2×C22⋊D47—22no—
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—41no—
446C2×C22⋊D47—41no—
447C2×C22⋊D47—41no—
448C2×C22⋊D47—41no—
449C2×C22⋊D47C2×D414yes—
450C22×Dic47—22no—
451C22×Dic47—22no—
452C22×Dic47—41no—
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456C22×Dic47C2411yescharacteristic
457C22×Dic47C2411yescharacteristic
458C22×Dic47C2411yescharacteristic
459C22×Dic47C2411yescharacteristic
460C22×Dic47C2411yescharacteristic
461C22×Dic47C2411yescharacteristic
462C22×Dic47C2411yescharacteristic
463C22×Dic47C2411yescharacteristic
464C22×Dic47C2411yescharacteristic
465#10625350—232no—
466#10625350—416no—
467C2×D188—22no—
468C2×D188—22no—
469C2×D188—22no—
470C2×D188—22no—
471C2×D188—22no—
472C2×D188—22no—
473C2×D188—22no—
474C2×D188—22no—
475C2×D188—22no—
476C2×D188—22no—
477C2×D188—22no—
478C2×D188—41no—
479C2×D188—41no—
480C2×D188—41no—
481C2×D188#4114yescomplemented
482C2×C4×D47—22no—
483C2×C4×D47—22no—
484C2×C4×D47—22no—
485C2×C4×D47—22no—
486C2×C4×D47—22no—
487C2×C4×D47—22no—
488C2×C4×D47—22no—
489C2×C4×D47—22no—
490C2×C4×D47—22no—
491C2×C4×D47—22no—
492C2×C4×D47—22no—
493C2×C4×D47—22no—
494C2×C4×D47—22no—
495C2×C4×D47—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—416no—
509C2×C4×D47—41no—
510C2×C4×D47—41no—
511C2×C4×D47—41no—
512C2×C4×D47—41no—
513C2×C4×D47—41no—
514C2×C4×D47—41no—
515C2×C4×D47—41no—
516C2×C4×D47C2×D414yes—
517C2×C4×D47#4114yescomplemented
518C2×C4×D47#4114yescomplemented
519C2×Dic94—22no—
520C2×Dic94—22no—
521C2×Dic94—22no—
522C2×Dic94—22no—
523C2×Dic94—22no—
524C2×Dic94—41no—
525C4⋊C4×C47—22no—
526C4⋊C4×C47—22no—
527C4⋊C4×C47—22no—
528C4⋊C4×C47—22no—
529C4⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—22no—
532C22⋊C4×C47—22no—
533C22⋊C4×C47—22no—
534C22⋊C4×C47—22no—
535C22⋊C4×C47—22no—
536C22⋊C4×C47—41no—
537C22⋊C4×C47#4114yescomplemented
538C42×C47—22no—
539C42×C47—22no—
540C42×C47—22no—
541C42×C47—22no—
542C42×C47—22no—
543C42×C47—22no—
544C42×C47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—22no—
548C22⋊Dic47—22no—
549C22⋊Dic47—41no—
550C22⋊Dic47—41no—
551C22⋊Dic47—41no—
552C22⋊Dic47C2×D414yes—
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—22no—
573(C2×D47)⋊C4—22no—
574(C2×D47)⋊C4—22no—
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)⋊C4C2×D414yes—
583C4⋊Dic47—22no—
584C4⋊Dic47—22no—
585C4⋊Dic47—22no—
586C4⋊Dic47—22no—
587C4⋊Dic47—41no—
588C4⋊Dic47—41no—
589C4⋊Dic47—41no—
590Dic47⋊C4—22no—
591Dic47⋊C4—22no—
592Dic47⋊C4—22no—
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—22no—
596Dic47⋊C4—22no—
597Dic47⋊C4—22no—
598Dic47⋊C4—41no—
599Dic47⋊C4—41no—
600Dic47⋊C4—41no—
601Dic47⋊C4C2×D414yes—
602C4×Dic47—22no—
603C4×Dic47—22no—
604C4×Dic47—22no—
605C4×Dic47—22no—
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×C47—21no—
623C23×C47—21no—
624C23×C47C22×D412yes—
625C23×C47C2×#4112yes—
626C23×C47C2511yescharacteristic
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—28no—
632C22×D47—21no—
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—21no—
646C22×D47—21no—
647C22×D47—21no—
648C22×D47—21no—
649C22×D47—21no—
650C22×D47—21no—
651C22×D47—44no—
652C22×D47—44no—
653C22×D47—44no—
654C22×D47—44no—
655C22×D47—44no—
656C22×D47—44no—
657C22×D47C22×D412yes—
658C22×D47C2×#4112yes—
659C22×D47C2×#4112yes—
660C22×D47C2×#4112yes—
661C22×D47C2×#4112yes—
662D4×C47—44no—
663C2×C4×C47—28no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—28no—
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—44no—
697C2×C4×C47—44no—
698C2×C4×C47C22×D412yes—
699C2×C4×C47C22×D412yes—
700C2×C4×C47C2×#4112yes—
701C2×C4×C47C2×#4112yes—
702C2×C4×C47C2×#4112yes—
703C2×C4×C47C2×#4112yes—
704C2×C4×C47C2×#4112yes—
705C2×C4×C47H(5,𝔽2)12yes—
706C22⋊D47—28no—
707C22⋊D47—28no—
708C22⋊D47—44no—
709C22⋊D47—44no—
710C22⋊D47—44no—
711C22⋊D47—44no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—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—44no—
744C2×Dic47C22×D412yes—
745C2×Dic47C22×D412yes—
746C2×Dic47C22×D412yes—
747C2×Dic47C2×#4112yes—
748C2×Dic47C2×#4112yes—
749D188—28no—
750D188—44no—
751D188—44no—
752D188—44no—
753D188—44no—
754C4×D47—28no—
755C4×D47—28no—
756C4×D47—28no—
757C4×D47—28no—
758C4×D47—44no—
759C4×D47—44no—
760C4×D47—44no—
761C4×D47—44no—
762C4×D47—44no—
763C4×D47—44no—
764C4×D47—44no—
765C4×D47—44no—
766Dic94—28no—
767Dic94—44no—
768#34732—471nomaximal, Sylow
769C22×C47—22no—
770C22×C47—22no—
771C22×C47—22no—
772C22×C47—22no—
773C22×C47—22no—
774C22×C47—22no—
775C22×C47—41no—
776C22×C47—41no—
777C22×C47—41no—
778C22×C47—41no—
779C22×C47—41no—
780C22×C47—41no—
781C22×C47—41no—
782C22×C47—41no—
783C22×C47C23×D411yescharacteristic
784C22×C47C22×#4111yescharacteristic
785C22×C47C22×#4111yescharacteristic
786C22×C47C22×#4111yescharacteristic
787C22×C47C22×#4111yescharacteristic
788C22×C47C2×H(5,𝔽2)11yescharacteristic
789C22×C47#58511yescharacteristic
790C2×D47—22no—
791C2×D47—22no—
792C2×D47—22no—
793C2×D47—22no—
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—416no—
803C2×D47—41no—
804C2×D47—41no—
805C2×D47—41no—
806C2×D47—41no—
807C2×D47—41no—
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#52514yes—
819C4×C47—22no—
820C4×C47—22no—
821C4×C47—22no—
822C4×C47—22no—
823C4×C47—22no—
824C4×C47—41no—
825C4×C47—41no—
826C4×C47—41no—
827C4×C47—41no—
828C4×C47—41no—
829C4×C47—41no—
830C4×C47—41no—
831C4×C47#54614yes—
832Dic47—22no—
833Dic47—22no—
834Dic47—22no—
835Dic47—22no—
836Dic47—22no—
837Dic47—41no—
838Dic47—41no—
839Dic47—41no—
840Dic47—41no—
841Dic47—41no—
842Dic47—41no—
843Dic47—41no—
844C2×#525—471no—
845C2×C4×#41—471no—
846#2477—471no—
847#2476—471no—
848#2471—471no—
849#2470—471no—
850#2465—471no—
851#2464—471no—
852#2458—471no—
853#2457—471no—
854#2450—471no—
855#2444—471no—
856#2438—471no—
857#2430—471no—
858#2424—471no—
859#2418—471no—
860#2411—471no—
861#2404—471no—
862#2398—471no—
863#2396—471no—
864#2392—471no—
865#2388—471no—
866C4×#123—471no—
867C4×#123D4711yescharacteristic, complemented
868C4×#121—471no—
869C4×#121—471no—
870C4×#120—471no—
871#2297—471no—
872#2290—471no—
873#2290—471no—
874C2×C4×C22⋊C4—471no—
875C2×C47—42no—
876C2×C47—42no—
877C2×C47C2×#52511yescharacteristic
878C2×C47#344411yescharacteristic
879C2×C47#346011yescharacteristic
880C2×C47C2×#54611yescharacteristic
881C2×C47D4×#4111yescharacteristic
882C2×C47#347511yescharacteristic
883C2×C47#348111yescharacteristic
884D47—24no—
885D47—42no—
886D47—42no—
887D47—81no—
888C22×#41—471no—
889C22×#41—471no—
890C24×C4—471no—
891#525—948no—
892C2×#123—471no—
893C2×#123—471no—
894C2×#123—471no—
895C2×#123C2×D4711yescharacteristic
896C2×C22⋊Q8—471no—
897C2×C22⋊Q8—471no—
898C2×#121—471no—
899C2×#121—471no—
900C2×#121—471no—
901C2×#121—471no—
902C2×#120—471no—
903C2×#120—471no—
904C2×#120—471no—
905C4×#41—948no—
906C2×C4×Q8—471no—
907C2×C4×Q8—471no—
908C2×C4×D4—471no—
909C2×C4×D4—471no—
910C2×C4×D4—471no—
911C2×C4×D4—471no—
912C2×C4×D4—471no—
913C2×C4×D4—471no—
914C2×C4×D4—471no—
915C2×C4×D4—471no—
916C2×C4×D4—471no—
917C2×C4×D4—471no—
918C2×C4×D4—471no—
919C2×C4×D4C2×D4711yescharacteristic
920C2×#117—471no—
921C2×#117—471no—
922C2×#117—471no—
923C2×#117—471no—
924C2×#117—471no—
925C22×C22⋊C4—471no—
926C22×C22⋊C4—471no—
927C22×C42—471no—
928C22×C42—471no—
929C22×C42—471no—
930C22×C42C2×D4711yescharacteristic, complemented
931#400—471no—
932#400—471no—
933#400—471no—
934#399—471no—
935#398—471no—
936#398—471no—
937#398—471no—
938#397—471no—
939#397—471no—
940#397—471no—
941#396—471no—
942#396—471no—
943#396—471no—
944#396—471no—
945#395—471no—
946#395—471no—
947#394—471no—
948#394—471no—
949#394—471no—
950#394—471no—
951#394—471no—
952#394—471no—
953#394—471no—
954#394—471no—
955#393—471no—
956#393—471no—
957#393—471no—
958#393—471no—
959#392—471no—
960#392—471no—
961#392—471no—
962#392—471no—
963#391—471no—
964#391—471no—
965#390—471no—
966#390—471no—
967#390—471no—
968#390—471no—
969#389—471no—
970#389—471no—
971#388—471no—
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#388—471no—
981#388C2×D4711yescharacteristic
982#388C2×D4711yescharacteristic
983#387—471no—
984#387—471no—
985#387—471no—
986#387—471no—
987#387—471no—
988#387—471no—
989#387C2×D4711yescharacteristic, complemented
990#387C2×D4711yescharacteristic, complemented
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#386—471no—
1003#386—471no—
1004#386—471no—
1005#386—471no—
1006#386—471no—
1007#386C2×D4711yescharacteristic
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#385C2×D4711yescharacteristic, complemented
1017#381—471no—
1018#381C2×D4711yescharacteristic, complemented
1019#380—471no—
1020#380—471no—
1021#379—471no—
1022C4×C4⋊C4—471no—
1023C4×C4⋊C4—471no—
1024C4×C4⋊C4C2×D4711yescharacteristic, complemented
1025C4×C4⋊C4C2×D4711yescharacteristic, complemented
1026C4×C22⋊C4—471no—
1027C4×C22⋊C4—471no—
1028C4×C22⋊C4—471no—
1029C4×C22⋊C4—471no—
1030C4×C22⋊C4—471no—
1031C4×C22⋊C4—471no—
1032C4×C22⋊C4—471no—
1033C4×C22⋊C4—471no—
1034C4×C22⋊C4—471no—
1035C4×C22⋊C4—471no—
1036C4×C22⋊C4—471no—
1037C4×C22⋊C4—471no—
1038C4×C22⋊C4—471no—
1039C4×C22⋊C4C2×D4711yescharacteristic
1040C4×C22⋊C4C2×D4711yescharacteristic
1041C4×C22⋊C4C2×D4711yescharacteristic, complemented
1042#376—471no—
1043C2×#95—471no—
1044C2×#95—471no—
1045C47#3473211yescharacteristic, complemented, Sylow
1046C25—471no—
1047C2×#41—944no—
1048C2×#41—944no—
1049C2×#41—944no—
1050C2×#41—944no—
1051C2×#41—944no—
1052C2×#41—1882no—
1053C22×Q8—471no—
1054C22×Q8—471no—
1055C22×D4—471no—
1056C22×D4—471no—
1057C22×D4—471no—
1058C22×D4—471no—
1059C22×D4—471no—
1060C22×D4—471no—
1061C22×D4—471no—
1062C22×D4—471no—
1063C22×D4—471no—
1064C22×D4—471no—
1065C22×D4—471no—
1066C22×D4C22×D4711yescharacteristic
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×C4C22×D4711yescharacteristic
1084C23×C4C22×D4711yescharacteristic
1085C23×C4C22×D4711yescharacteristic
1086C23×C4C22×D4711yescharacteristic
1087#123—24no—
1088#123—944no—
1089#123—944no—
1090#123—944no—
1091C22⋊Q8—944no—
1092C22⋊Q8—944no—
1093#121—944no—
1094#121—944no—
1095#121—944no—
1096#121—944no—
1097#120—944no—
1098#120—944no—
1099#120—944no—
1100C4×Q8—944no—
1101C4×Q8—944no—
1102C4×D4—24no—
1103C4×D4—478no—
1104C4×D4—944no—
1105C4×D4—944no—
1106C4×D4—944no—
1107C4×D4—944no—
1108C4×D4—944no—
1109C4×D4—944no—
1110C4×D4—944no—
1111C4×D4—944no—
1112C4×D4—1882no—
1113C4×D4—1882no—
1114#117—944no—
1115#117—944no—
1116#117—944no—
1117#117—944no—
1118#117—1882no—
1119C2×C4⋊C4—471no—
1120C2×C4⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
1139C2×C4⋊C4C22×D4711yescharacteristic
1140C2×C4⋊C4C22×D4711yescharacteristic
1141C2×C4⋊C4C22×D4711yescharacteristic
1142C2×C4⋊C4C22×D4711yescharacteristic
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊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—944no—
1182C2×C22⋊C4—944no—
1183C2×C22⋊C4C22×D4711yescharacteristic
1184C2×C22⋊C4C22×D4711yescharacteristic
1185C2×C22⋊C4C22×D4711yescharacteristic
1186C2×C22⋊C4C22×D4711yescharacteristic
1187C2×C22⋊C4C22×D4711yescharacteristic
1188C2×C22⋊C4C22×D4711yescharacteristic
1189C2×C22⋊C4C22×D4711yescharacteristic
1190C2×C22⋊C4C22×D4711yescharacteristic
1191C2×C42—24no—
1192C2×C42—471no—
1193C2×C42—471no—
1194C2×C42—471no—
1195C2×C42—471no—
1196C2×C42—471no—
1197C2×C42—471no—
1198C2×C42—471no—
1199C2×C42—471no—
1200C2×C42—471no—
1201C2×C42—471no—
1202C2×C42—944no—
1203C2×C42—944no—
1204C2×C42—1882no—
1205C2×C42C22×D4711yescharacteristic
1206C2×C42C22×D4711yescharacteristic
1207C2×C42C22×D4711yescharacteristic
1208C2×C42C22×D4711yescharacteristic
1209C2×C42C22×D4711yescharacteristic
1210C2×C42C22×D4711yescharacteristic
1211C2×C42C22×D4711yescharacteristic
1212#95—471no—
1213#95—471no—
1214#95—471no—
1215#95—471no—
1216#95—471no—
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#95C22×D4711yescharacteristic
1239#95C22×D4711yescharacteristic
1240#95C22×D4711yescharacteristic
1241#95C22×D4711yescharacteristic
1242#95C22×D4711yescharacteristic
1243#95C22×D4711yescharacteristic
1244#95C22×D4711yescharacteristic
1245#95C22×D4711yescharacteristic
1246#95C22×D4711yescharacteristic
1247#95C22×D4711yescharacteristic
1248C24—471no—
1249C24—471no—
1250C24—471no—
1251C24—471no—
1252C24—942no—
1253C24—942no—
1254C24—942no—
1255C24—942no—
1256C24—942no—
1257C24—1881no—
1258C24—1881no—
1259C24C23×D4711yescharacteristic
1260C24C23×D4711yescharacteristic
1261#41—9432no—
1262#41—18816no—
1263C2×Q8—942no—
1264C2×Q8—942no—
1265C2×Q8—942no—
1266C2×Q8—942no—
1267C2×Q8—942no—
1268C2×Q8—1881no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—41no—
1272C2×D4—474no—
1273C2×D4—474no—
1274C2×D4—942no—
1275C2×D4—942no—
1276C2×D4—942no—
1277C2×D4—942no—
1278C2×D4—942no—
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—942no—
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—942no—
1298C2×D4—1881no—
1299C2×D4—1881no—
1300C2×D4—1881no—
1301C2×D4—1881no—
1302C2×D4—1881no—
1303C2×D4—1881no—
1304C2×D4—1881no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—41no—
1316C22×C4—471no—
1317C22×C4—471no—
1318C22×C4—471no—
1319C22×C4—471no—
1320C22×C4—471no—
1321C22×C4—474no—
1322C22×C4—474no—
1323C22×C4—474no—
1324C22×C4—471no—
1325C22×C4—471no—
1326C22×C4—471no—
1327C22×C4—471no—
1328C22×C4—471no—
1329C22×C4—471no—
1330C22×C4—471no—
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—942no—
1354C22×C4—942no—
1355C22×C4—942no—
1356C22×C4—942no—
1357C22×C4—942no—
1358C22×C4—942no—
1359C22×C4—1881no—
1360C22×C4—1881no—
1361C22×C4—1881no—
1362C22×C4—1881no—
1363C22×C4—1881no—
1364C22×C4—1881no—
1365C22×C4—1881no—
1366C22×C4—18816no—
1367C22×C4—1881no—
1368C22×C4D4×D4714yes—
1369C22×C4C23×D4711yescharacteristic
1370C22×C4C23×D4711yescharacteristic
1371C22×C4C23×D4711yescharacteristic
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
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—474no—
1388C4⋊C4—942no—
1389C4⋊C4—942no—
1390C4⋊C4—942no—
1391C4⋊C4—942no—
1392C4⋊C4—942no—
1393C4⋊C4—942no—
1394C4⋊C4—942no—
1395C4⋊C4—942no—
1396C4⋊C4—942no—
1397C4⋊C4—942no—
1398C4⋊C4—942no—
1399C4⋊C4—942no—
1400C4⋊C4—1881no—
1401C4⋊C4—1881no—
1402C4⋊C4—1881no—
1403C4⋊C4—1881no—
1404C4⋊C4—1881no—
1405C4⋊C4—1881no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—41no—
1413C22⋊C4—474no—
1414C22⋊C4—474no—
1415C22⋊C4—942no—
1416C22⋊C4—942no—
1417C22⋊C4—942no—
1418C22⋊C4—942no—
1419C22⋊C4—942no—
1420C22⋊C4—942no—
1421C22⋊C4—942no—
1422C22⋊C4—942no—
1423C22⋊C4—942no—
1424C22⋊C4—942no—
1425C22⋊C4—942no—
1426C22⋊C4—942no—
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—1881no—
1442C22⋊C4—1881no—
1443C22⋊C4—1881no—
1444C22⋊C4—1881no—
1445C22⋊C4—1881no—
1446C22⋊C4—1881no—
1447C22⋊C4—1881no—
1448C22⋊C4—1881no—
1449C22⋊C4—1881no—
1450C22⋊C4—1881no—
1451C22⋊C4#1062535014yescomplemented
1452C42—22no—
1453C42—22no—
1454C42—22no—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—22no—
1459C42—474no—
1460C42—942no—
1461C42—942no—
1462C42—942no—
1463C42—942no—
1464C42—942no—
1465C42—942no—
1466C42—942no—
1467C42—1881no—
1468C42—1881no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—472no—
1482C23—472no—
1483C23—472no—
1484C23—472no—
1485C23—472no—
1486C23—948no—
1487C23—941no—
1488C23—941no—
1489C23—941no—
1490C23—941no—
1491C23—941no—
1492C23—941no—
1493C23—941no—
1494C23—941no—
1495C23—941no—
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—1884no—
1511C23—1884no—
1512C23—1884no—
1513C23—1884no—
1514C23—1884no—
1515C23—1884no—
1516C23C2×D4×D4712yes—
1517C23C2×#1062535012yes—
1518C23C24×D4711yescharacteristic
1519Q8—948no—
1520Q8—1884no—
1521D4—44no—
1522D4—948no—
1523D4—948no—
1524D4—948no—
1525D4—1884no—
1526D4—1884no—
1527D4—1884no—
1528D4—1884no—
1529D4—1884no—
1530D4—1884no—
1531D4—1884no—
1532D4—1884no—
1533C2×C4—28no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—28no—
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—44no—
1567C2×C4—44no—
1568C2×C4—472no—
1569C2×C4—472no—
1570C2×C4—472no—
1571C2×C4—472no—
1572C2×C4—472no—
1573C2×C4—948no—
1574C2×C4—948no—
1575C2×C4—941no—
1576C2×C4—941no—
1577C2×C4—941no—
1578C2×C4—941no—
1579C2×C4—941no—
1580C2×C4—941no—
1581C2×C4—941no—
1582C2×C4—941no—
1583C2×C4—941no—
1584C2×C4—941no—
1585C2×C4—948no—
1586C2×C4—948no—
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—1884no—
1609C2×C4—1884no—
1610C2×C4—1884no—
1611C2×C4—1884no—
1612C2×C4—1884no—
1613C2×C4—1884no—
1614C2×C4—1884no—
1615C2×C4—1884no—
1616C2×C4—1884no—
1617C2×C4C2×D4×D4712yes—
1618C2×C4C2×D4×D4712yes—
1619C2×C4#41×D4712yes—
1620C2×C4#41×D4712yes—
1621C2×C4#41×D4712yes—
1622C2×C4C2×#1062535012yes—
1623C2×C4C2×#1062535012yes—
1624C2×C4#1309407012yes—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—474no—
1640C22—942no—
1641C22—942no—
1642C22—942no—
1643C22—942no—
1644C22—942no—
1645C22—942no—
1646C22—942no—
1647C22—942no—
1648C22—942no—
1649C22—942no—
1650C22—942no—
1651C22—942no—
1652C22—18816no—
1653C22—1881no—
1654C22—1881no—
1655C22—1881no—
1656C22—1881no—
1657C22—1881no—
1658C22—1881no—
1659C22—1881no—
1660C22—1881no—
1661C22—1881no—
1662C22—1881no—
1663C22—1881no—
1664C22—1881no—
1665C22—1881no—
1666C22—1881no—
1667C22—1881no—
1668C22C22×D4×D4711yescharacteristic
1669C22C2×#41×D4711yescharacteristic
1670C22C2×#41×D4711yescharacteristic
1671C22C2×#41×D4711yescharacteristic
1672C22C22×#1062535011yescharacteristic
1673C22C2×#1309407011yescharacteristic
1674C22#1568995911yescharacteristic
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—942no—
1688C4—942no—
1689C4—942no—
1690C4—942no—
1691C4—942no—
1692C4—1881no—
1693C4—1881no—
1694C4—1881no—
1695C4—1881no—
1696C4—1881no—
1697C4—1881no—
1698C4—1881no—
1699C4#1568976514yes—
1700C2—42no—
1701C2—42no—
1702C2—944no—
1703C2—3761no—
1704C2—1882no—
1705C2—1882no—
1706C2#525×D4711yescharacteristic
1707C2#2025668111yescharacteristic
1708C2#2025680911yescharacteristic
1709C2C2×#1568976511yescharacteristic
1710C2D4×#1062535011yescharacteristic
1711C2#2025694411yescharacteristic
1712C2#2025699811yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC4×#123×C47C2
hypercenterC4×#123D47
hypocenterC47#34732
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
1. C2×#15689632C2semidirect
2. C2×C4×#10625350C2semidirect
3. #20247594C2semidirect
4. #20247571C2semidirect
5. #20247506C2semidirect
6. #20247483C2semidirect
7. #20247414C2semidirect
8. #20247391C2semidirect
9. #20247317C2semidirect
10. #20247294C2semidirect
11. #20247211C2semidirect
12. #20247137C2semidirect
13. #20247063C2semidirect
14. #20246997C2semidirect
15. #20246929C2semidirect
16. #20246847C2semidirect
17. #20246772C2semidirect
18. #20246705C2semidirect
19. #20246675C2semidirect
20. #20246664C2semidirect
21. #20246630C2semidirect
22. #20246604C2semidirect
23. C4×#13094009C2semidirect
24. C4×#13093999C2semidirect
25. C4×#13093997C2semidirect
26. C4×#13093994C2semidirect
27. #20245878C2semidirect
28. #20245834C2semidirect
29. #20245829C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C4×#123×C47C2semidirect
49. C2×C4×Dic94C22semidirect
50. C2×C4×Dic94C22semidirect
55. C2×C4×D188C22semidirect
60. C2×C4×C22⋊D47C22semidirect
61. C2×C4×C22⋊D47C22semidirect
62. C2×#13093983C22semidirect
63. C2×#13093983C22semidirect
66. C2×#13093981C22semidirect
71. C2×C42×D47C22semidirect
72. #15689065C22semidirect
73. #15689064C22semidirect
74. #15689064C22semidirect
76. #15689057C22semidirect
77. #15689056C22semidirect
78. #15689054C22semidirect
79. #15689052C22semidirect
81. #15689051C22semidirect
85. #15689045C22semidirect
86. #15689044C22semidirect
87. #15689043C22semidirect
92. #15689039C22semidirect
94. #15689038C22semidirect
97. #15689036C22semidirect
98. #15689036C22semidirect
102. #15689032C22semidirect
104. #15689029C22semidirect
105. #15689029C22semidirect
108. #15689024C22semidirect
110. #15689022C22semidirect
111. #15689020C22semidirect
112. #15689017C22semidirect
113. #15689017C22semidirect
115. #15689015C22semidirect
116. #15689015C22semidirect
119. #15689013C22semidirect
120. #15689012C22semidirect
121. #15689012C22semidirect
122. #15689010C22semidirect
123. #15689010C22semidirect
124. #15689010C22semidirect
125. #15689009C22semidirect
126. #15689006C22semidirect
127. #15689006C22semidirect
130. #15689002C22semidirect
131. #15689002C22semidirect
139. #15689001C22semidirect
150. #15688994C22semidirect
151. #15688994C22semidirect
153. #15688982C22semidirect
156. C4×Dic47⋊C4C22semidirect
157. C4×Dic47⋊C4C22semidirect
164. C4×(C2×D47)⋊C4C22semidirect
165. C4×(C2×D47)⋊C4C22semidirect
166. C4×(C2×D47)⋊C4C22semidirect
167. C4×(C2×D47)⋊C4C22semidirect
171. #15688969C22semidirect
176. C22×C42×C47C22semidirect
179. C47×#387C22semidirect
180. C47×#387C22semidirect
182. C47×#385C22semidirect
183. C47×#381C22semidirect
184. C4×C4⋊C4×C47C22semidirect
185. C4×C4⋊C4×C47C22semidirect
188. C4×C22⋊C4×C47C22semidirect
249. C4×C22⋊D47D4semidirect
481. C2×D188#41semidirect
517. C2×C4×D47#41semidirect
518. C2×C4×D47#41semidirect
537. C22⋊C4×C47#41semidirect
867. C4×#123D47semidirect
930. C22×C42C2×D47semidirect
989. #387C2×D47semidirect
990. #387C2×D47semidirect
1016. #385C2×D47semidirect
1018. #381C2×D47semidirect
1024. C4×C4⋊C4C2×D47semidirect
1025. C4×C4⋊C4C2×D47semidirect
1041. C4×C22⋊C4C2×D47semidirect
1045. C47#34732semidirect
1451. C22⋊C4#10625350semidirect

Maximal subgroups

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

subgroupindex
C2×#156896322
C2×C4×#106253502
#202475942
#202475712
#202475062
#202474832
#202474142
#202473912
#202473172
#202472942
#202472112
#202471372
#202470632
#202469972
#202469292
#202468472
#202467722
#202467052
#202466752
#202466642
#202466302
#202466042
C4×#130940092
C4×#130939992
C4×#130939972
C4×#130939942
#202458782
#202458342
#202458292
C4×C22⋊C4×D472
C4×#123×C472
#3473247