Finite Group Databasebeta

← #26386470

Subgroups — #26386470

Order 12032.

2804 conjugacy classes of subgroups.

The subgroup lattice has 1708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689653C211yesmaximal, characteristic, complemented
2C2×#15689632C211yesmaximal, characteristic, complemented
3#20248534C211yesmaximal, characteristic, complemented
4#20248519C211yesmaximal, characteristic, complemented
5#20248504C211yesmaximal, characteristic, complemented
6#20248489C211yesmaximal, characteristic, complemented
7#20248474C211yesmaximal, characteristic, complemented
8#20248462C211yesmaximal, characteristic, complemented
9#20248450C211yesmaximal, characteristic, complemented
10#20248435C211yesmaximal, characteristic, complemented
11#20248400C211yesmaximal, characteristic, complemented
12#20248350C211yesmaximal, characteristic, complemented
13#20248320C211yesmaximal, characteristic, complemented
14#20248280C211yesmaximal, characteristic, complemented
15#20247716C211yesmaximal, characteristic, complemented
16#20247516C211yesmaximal, characteristic, complemented
17#20246941C211yesmaximal, characteristic, complemented
18#20246926C211yesmaximal, characteristic, complemented
19#20246664C211yesmaximal, characteristic, complemented
20#20246651C211yesmaximal, characteristic, complemented
21#20246630C211yesmaximal, characteristic, complemented
22#20246603C211yesmaximal, characteristic, complemented
23C4×#13094010C211yesmaximal, characteristic, complemented
24C4×#13094005C211yesmaximal, characteristic, complemented
25C4×#13093997C211yesmaximal, characteristic, complemented
26C4×#13093992C211yesmaximal, characteristic, complemented
27#20245874C211yesmaximal, characteristic, complemented
28#20245851C211yesmaximal, characteristic, complemented
29C42×C22⋊D47C211yesmaximal, characteristic, complemented
30C2×C4×(C2×D47)⋊C4C211yesmaximal, characteristic, complemented
31C4×#121×C47C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689653—28no—
35C2×#13094019C2211yescharacteristic, complemented
36C2×#13094017C2211yescharacteristic, complemented
37C2×#13094014C2211yescharacteristic, complemented
38C2×#13094010C2211yescharacteristic
39C2×#13094010C2211yescharacteristic, complemented
40#15689632—28no—
41C2×#13094009C2211yescharacteristic
42C2×#13094008C2211yescharacteristic
43C2×#13094006C2211yescharacteristic
44C2×#13094005C2211yescharacteristic
45C2×#13094005C2211yescharacteristic
46C2×#13094002C2211yescharacteristic
47C2×#13094001C2211yescharacteristic
48C2×#13094001C2211yescharacteristic
49C2×#13093997C2211yescharacteristic
50C2×#13093997C2211yescharacteristic
51C2×#13093996C2211yescharacteristic
52C2×#13093996C2211yescharacteristic
53C2×#13093994C2211yescharacteristic
54C2×#13093992C2211yescharacteristic
55C2×#13093992C2211yescharacteristic
56C2×C4×Dic94C2211yescharacteristic, complemented
57C2×C4×D188C2211yescharacteristic
58C2×C4×C22⋊D47C2211yescharacteristic
59C2×C4×C22⋊D47C2211yescharacteristic
60C2×C4×C22⋊D47C2211yescharacteristic
61C2×C4×C22⋊D47C2211yescharacteristic
62C2×C4×C22⋊D47C2211yescharacteristic
63C2×C4×C22⋊D47C2211yescharacteristic
64C2×C4×C22⋊D47C2211yescharacteristic, complemented
65C2×#13093983C2211yescharacteristic, complemented
66C2×#13093981C2211yescharacteristic
67C2×#13093981C2211yescharacteristic, complemented
68C22×(C2×D47)⋊C4C2211yescharacteristic
69C22×(C2×D47)⋊C4C2211yescharacteristic
70C22×C4×Dic47C2211yescharacteristic
71C2×C42×D47C2211yescharacteristic, complemented
72#15689065C2211yescharacteristic, complemented
73#15689064C2211yescharacteristic, complemented
74#15689058C2211yescharacteristic
75#15689058C2211yescharacteristic
76#15689057C2211yescharacteristic, complemented
77#15689056C2211yescharacteristic, complemented
78#15689056C2211yescharacteristic, complemented
79#15689054C2211yescharacteristic, complemented
80#15689052C2211yescharacteristic
81#15689052C2211yescharacteristic, complemented
82#15689051C2211yescharacteristic, complemented
83#15689049C2211yescharacteristic, complemented
84#15689047C2211yescharacteristic
85#15689046C2211yescharacteristic, complemented
86#15689045C2211yescharacteristic
87#15689045C2211yescharacteristic
88#15689043C2211yescharacteristic, complemented
89#15689043C2211yescharacteristic, complemented
90#15689041C2211yescharacteristic
91#15689040C2211yescharacteristic
92#15689040C2211yescharacteristic
93#15689039C2211yescharacteristic
94#15689038C2211yescharacteristic
95#15689038C2211yescharacteristic
96#15689038C2211yescharacteristic, complemented
97#15689037C2211yescharacteristic, complemented
98#15689036C2211yescharacteristic
99#15689035C2211yescharacteristic, complemented
100#15689032C2211yescharacteristic
101#15689031C2211yescharacteristic
102#15689031C2211yescharacteristic
103#15689031C2211yescharacteristic, complemented
104#15689027C2211yescharacteristic, complemented
105#15689027C2211yescharacteristic, complemented
106#15689027C2211yescharacteristic, complemented
107#15689023C2211yescharacteristic
108#15689023C2211yescharacteristic
109#15689023C2211yescharacteristic
110#15689023C2211yescharacteristic
111#15689023C2211yescharacteristic
112#15689023C2211yescharacteristic
113#15689020C2211yescharacteristic, complemented
114#15689020C2211yescharacteristic, complemented
115#15689020C2211yescharacteristic, complemented
116#15689016C2211yescharacteristic, complemented
117#15689016C2211yescharacteristic, complemented
118#15689015C2211yescharacteristic
119#15689015C2211yescharacteristic
120#15689015C2211yescharacteristic
121#15689012C2211yescharacteristic
122#15689012C2211yescharacteristic
123#15689011C2211yescharacteristic, complemented
124#15689011C2211yescharacteristic, complemented
125#15689011C2211yescharacteristic, complemented
126#15689011C2211yescharacteristic, complemented
127#15689011C2211yescharacteristic, complemented
128#15689004C2211yescharacteristic, complemented
129#15689004C2211yescharacteristic, complemented
130#15689003C2211yescharacteristic
131#15689003C2211yescharacteristic
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15688999C2211yescharacteristic
136#15688999C2211yescharacteristic
137#15688999C2211yescharacteristic, complemented
138#15688999C2211yescharacteristic, complemented
139#15688999C2211yescharacteristic, complemented
140#15688995C2211yescharacteristic
141#15688995C2211yescharacteristic
142#15688994C2211yescharacteristic
143#15688994C2211yescharacteristic
144#15688987C2211yescharacteristic, complemented
145#15688984C2211yescharacteristic
146#15688982C2211yescharacteristic, complemented
147#15688978C2211yescharacteristic
148C4×Dic47⋊C4C2211yescharacteristic, complemented
149C4×Dic47⋊C4C2211yescharacteristic, complemented
150C4×Dic47⋊C4C2211yescharacteristic, complemented
151C4×Dic47⋊C4C2211yescharacteristic, complemented
152C4×Dic47⋊C4C2211yescharacteristic, complemented
153C4×(C2×D47)⋊C4C2211yescharacteristic
154C4×(C2×D47)⋊C4C2211yescharacteristic
155C4×(C2×D47)⋊C4C2211yescharacteristic
156C4×(C2×D47)⋊C4C2211yescharacteristic
157C4×(C2×D47)⋊C4C2211yescharacteristic
158C4×(C2×D47)⋊C4C2211yescharacteristic
159C4×(C2×D47)⋊C4C2211yescharacteristic
160C4×(C2×D47)⋊C4C2211yescharacteristic
161C4×(C2×D47)⋊C4C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
166C4×C22⋊Dic47C2211yescharacteristic
167C4×C22⋊Dic47C2211yescharacteristic
168C4×C22⋊Dic47C2211yescharacteristic
169C4×C22⋊Dic47C2211yescharacteristic, complemented
170C4×C22⋊Dic47C2211yescharacteristic, complemented
171C2×C47⋊#95C2211yescharacteristic
172C2×C47⋊#95C2211yescharacteristic
173C42×Dic47C2211yescharacteristic, complemented
174C2×#121×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic
176C2×C4×D4×C47C2211yescharacteristic
177C2×C4×D4×C47C2211yescharacteristic, complemented
178C22×C42×C47C2211yescharacteristic
179C47×#390C2211yescharacteristic, complemented
180C47×#389C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#386C2211yescharacteristic
184C47×#386C2211yescharacteristic
185C47×#380C2211yescharacteristic
186C4×C4⋊C4×C47C2211yescharacteristic, complemented
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C4×C22⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C2×#10625350—24no—
191C2×#10625350—24no—
192C2×#10625350—42no—
193C22×Dic94C2311yescharacteristic
194C22×Dic94C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×C22⋊D47C2311yescharacteristic
198C22×C22⋊D47C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C23×Dic47C2311yescharacteristic
205C23×Dic47C2311yescharacteristic
206C23×Dic47C2311yescharacteristic
207C22×C4×D47—24no—
208C22×C4×D47—24no—
209C22×C4×D47—42no—
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217#13094019—24no—
218#13094017—24no—
219#13094014—24no—
220#13094010—24no—
221#13094010—24no—
222#13094009—24no—
223#13094008—24no—
224#13094006—24no—
225#13094005—24no—
226#13094005—24no—
227#13094002—24no—
228#13094001—24no—
229#13094001—24no—
230#13093997—24no—
231#13093997—24no—
232#13093996—24no—
233#13093996—24no—
234#13093994—24no—
235#13093992—24no—
236#13093992—24no—
237C4×Dic94—24no—
238C4×D188—24no—
239C4×C22⋊D47—24no—
240C4×C22⋊D47—24no—
241C4×C22⋊D47—24no—
242C4×C22⋊D47—24no—
243C4×C22⋊D47—24no—
244C4×C22⋊D47—42no—
245C4×C22⋊D47D418yescomplemented
246#13093983—24no—
247#13093981—24no—
248#13093981—24no—
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×C22⋊Dic47C2311yescharacteristic
271C2×C22⋊Dic47C2311yescharacteristic
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×(C2×D47)⋊C4—24no—
284C2×(C2×D47)⋊C4—24no—
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×C4×Dic47—24no—
311C2×C4×Dic47C2311yescharacteristic
312C2×C4×Dic47C2311yescharacteristic
313C2×C4×Dic47C2311yescharacteristic
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—42no—
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
351C22×D4×C47C2311yescharacteristic
352C22×D4×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C23×C4×C47C2311yescharacteristic
355C23×C4×C47C2311yescharacteristic
356C23×C4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359#121×C47—24no—
360C4×D4×C47—24no—
361C4×D4×C47—24no—
362C4×D4×C47—42no—
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊C4×C47C2311yescharacteristic
367C2×C4⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C22⋊C4×C47C2311yescharacteristic
373C2×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C42×C47—42no—
379C2×C42×C47C2311yescharacteristic
380C2×C42×C47C2311yescharacteristic
381C2×C42×C47C2311yescharacteristic
382C2×C42×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
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—22no—
399C23×D47—41no—
400C23×D47—41no—
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C2×D4×C47—22no—
405C2×D4×C47—22no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—22no—
409C2×D4×C47—22no—
410C2×D4×C47—22no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C22×C4×C47—22no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—22no—
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×C47C2×D414yes—
427C22×C4×C47#4114yescomplemented
428C22×C4×C47C2411yescharacteristic
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
440C2×C22⋊D47—22no—
441C2×C22⋊D47—22no—
442C2×C22⋊D47—22no—
443C2×C22⋊D47—22no—
444C2×C22⋊D47—22no—
445C2×C22⋊D47—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47—22no—
450C2×C22⋊D47—22no—
451C2×C22⋊D47—22no—
452C2×C22⋊D47—22no—
453C2×C22⋊D47—22no—
454C2×C22⋊D47—41no—
455C2×C22⋊D47—41no—
456C2×C22⋊D47—41no—
457C2×C22⋊D47—41no—
458C2×C22⋊D47—41no—
459C2×C22⋊D47—41no—
460C2×C22⋊D47C2×D414yes—
461C22×Dic47—22no—
462C22×Dic47—22no—
463C22×Dic47—22no—
464C22×Dic47—22no—
465C22×Dic47—22no—
466C22×Dic47—22no—
467C22×Dic47—22no—
468C22×Dic47—41no—
469C22×Dic47—41no—
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C22×Dic47C2411yescharacteristic
481C22×Dic47C2411yescharacteristic
482C22×Dic47C2411yescharacteristic
483#10625350—416no—
484C2×D188—22no—
485C2×D188—22no—
486C2×D188—22no—
487C2×D188—22no—
488C2×D188—41no—
489C2×D188—41no—
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—416no—
505C2×C4×D47—41no—
506C2×C4×D47—41no—
507C2×C4×D47—41no—
508C2×C4×D47—41no—
509C2×C4×D47—41no—
510C2×C4×D47C2×D414yes—
511C2×C4×D47#4114yes—
512C2×Dic94—22no—
513C2×Dic94—22no—
514C2×Dic94—22no—
515C2×Dic94—22no—
516C2×Dic94—41no—
517C2×Dic94—41no—
518C4⋊C4×C47—22no—
519C4⋊C4×C47—22no—
520C4⋊C4×C47—22no—
521C4⋊C4×C47—41no—
522C4⋊C4×C47—41no—
523C22⋊C4×C47—22no—
524C22⋊C4×C47—22no—
525C22⋊C4×C47—22no—
526C22⋊C4×C47—22no—
527C22⋊C4×C47—22no—
528C22⋊C4×C47—22no—
529C22⋊C4×C47—22no—
530C22⋊C4×C47—22no—
531C22⋊C4×C47—41no—
532C22⋊C4×C47—41no—
533C42×C47—22no—
534C42×C47—22no—
535C42×C47—22no—
536C42×C47—22no—
537C42×C47—41no—
538C42×C47—41no—
539C22⋊Dic47—22no—
540C22⋊Dic47—22no—
541C22⋊Dic47—22no—
542C22⋊Dic47—22no—
543C22⋊Dic47—22no—
544C22⋊Dic47—22no—
545C22⋊Dic47—22no—
546C22⋊Dic47—22no—
547C22⋊Dic47—22no—
548C22⋊Dic47—41no—
549C22⋊Dic47—41no—
550C22⋊Dic47C2×D414yes—
551C22⋊Dic47#4114yescomplemented
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—22no—
573(C2×D47)⋊C4—41no—
574(C2×D47)⋊C4—41no—
575(C2×D47)⋊C4C2×D414yes—
576(C2×D47)⋊C4#4114yescomplemented
577C4⋊Dic47—22no—
578C4⋊Dic47—22no—
579C4⋊Dic47—22no—
580C4⋊Dic47—22no—
581Dic47⋊C4—22no—
582Dic47⋊C4—22no—
583Dic47⋊C4—22no—
584Dic47⋊C4—22no—
585Dic47⋊C4—22no—
586Dic47⋊C4—22no—
587Dic47⋊C4—22no—
588Dic47⋊C4—22no—
589Dic47⋊C4—22no—
590Dic47⋊C4—22no—
591Dic47⋊C4—22no—
592Dic47⋊C4—22no—
593Dic47⋊C4—22no—
594Dic47⋊C4—22no—
595Dic47⋊C4—41no—
596Dic47⋊C4—41no—
597Dic47⋊C4C2×D414yes—
598C4×Dic47—22no—
599C4×Dic47—22no—
600C4×Dic47—22no—
601C4×Dic47—22no—
602C4×Dic47—22no—
603C4×Dic47—22no—
604C4×Dic47—22no—
605C4×Dic47—22no—
606C4×Dic47—22no—
607C4×Dic47—41no—
608C4×Dic47—41no—
609C4×Dic47—41no—
610C4×Dic47C2×D414yes—
611C23×C47—21no—
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×C47—21no—
625C23×C47—21no—
626C23×C47—21no—
627C23×C47—21no—
628C23×C47—21no—
629C23×C47C22×D412yes—
630C23×C47C2×#4112yes—
631C23×C47C2×#4112yes—
632C23×C47C2511yescharacteristic
633C22×D47—28no—
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—21no—
652C22×D47—44no—
653C22×D47—44no—
654C22×D47—44no—
655C22×D47—44no—
656C22×D47—44no—
657C22×D47—44no—
658C22×D47C22×D412yes—
659C22×D47C2×#4112yes—
660C22×D47C2×#4112yes—
661D4×C47—44no—
662D4×C47—44no—
663D4×C47—44no—
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—28no—
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—44no—
695C2×C4×C47—44no—
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×C47H(5,𝔽2)12yes—
705C22⋊D47—28no—
706C22⋊D47—44no—
707C22⋊D47—44no—
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—21no—
744C2×Dic47—44no—
745C2×Dic47—44no—
746C2×Dic47—44no—
747C2×Dic47C22×D412yes—
748C2×Dic47C22×D412yes—
749C2×Dic47C22×D412yes—
750C2×Dic47C2×#4112yes—
751C2×Dic47C2×#4112yes—
752C2×Dic47C2×#4112yes—
753C2×Dic47C2×#4112yes—
754D188—44no—
755D188—44no—
756C4×D47—28no—
757C4×D47—28no—
758C4×D47—44no—
759C4×D47—44no—
760C4×D47—44no—
761C4×D47—44no—
762C4×D47—44no—
763Dic94—44no—
764Dic94—44no—
765#34829—471nomaximal, Sylow
766C22×C47—22no—
767C22×C47—22no—
768C22×C47—22no—
769C22×C47—22no—
770C22×C47—22no—
771C22×C47—22no—
772C22×C47—41no—
773C22×C47—41no—
774C22×C47—41no—
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×C47—41no—
784C22×C47—41no—
785C22×C47—41no—
786C22×C47#53214yes—
787C22×C47C23×D411yescharacteristic
788C22×C47C22×#4111yescharacteristic
789C22×C47C22×#4111yescharacteristic
790C22×C47C22×#4111yescharacteristic
791C22×C47C22×#4111yescharacteristic
792C22×C47C2×H(5,𝔽2)11yescharacteristic
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—416no—
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—
816C4×C47—22no—
817C4×C47—22no—
818C4×C47—22no—
819C4×C47—22no—
820C4×C47—41no—
821C4×C47—41no—
822C4×C47—41no—
823C4×C47—41no—
824C4×C47—41no—
825C4×C47—41no—
826C4×C47—41no—
827C4×C47#54614yes—
828Dic47—22no—
829Dic47—22no—
830Dic47—22no—
831Dic47—22no—
832Dic47—22no—
833Dic47—22no—
834Dic47—22no—
835Dic47—41no—
836Dic47—41no—
837Dic47—41no—
838Dic47—41no—
839Dic47—41no—
840Dic47—41no—
841C2×#529—471no—
842C2×#525—471no—
843#2560—471no—
844#2559—471no—
845#2558—471no—
846#2557—471no—
847#2556—471no—
848#2555—471no—
849#2554—471no—
850#2553—471no—
851#2549—471no—
852#2543—471no—
853#2539—471no—
854#2534—471no—
855#2488—471no—
856#2472—471no—
857#2425—471no—
858#2424—471no—
859#2396—471no—
860#2395—471no—
861#2392—471no—
862#2388—471no—
863C4×#124—471no—
864C4×#123—471no—
865C4×#121—471no—
866C4×#121D4711yescharacteristic, complemented
867C4×#120—471no—
868#2297—471no—
869#2293—471no—
870C42×D4—471no—
871C2×C4×C22⋊C4—471no—
872C2×C47—24no—
873C2×C47—81no—
874C2×C47—81no—
875C2×C47C2×#53211yescharacteristic
876C2×C47#344411yescharacteristic
877C2×C47#345911yescharacteristic
878C2×C47C2×#54611yescharacteristic
879C2×C47D4×#4111yescharacteristic
880C2×C47#347511yescharacteristic
881C2×C47#348111yescharacteristic
882D47—42no—
883D47—42no—
884D47—42no—
885C22×#41—471no—
886C24×C4—471no—
887#529—948no—
888C2×#126—471no—
889C2×#126—471no—
890C2×#125—471no—
891C2×#124—471no—
892C2×#124—471no—
893#525—948no—
894C2×#123—471no—
895C2×#123—471no—
896C2×#123—471no—
897C2×#123—471no—
898C2×#123—471no—
899C2×C22⋊Q8—471no—
900C2×C22⋊Q8—471no—
901C2×C22⋊Q8—471no—
902C2×#121—471no—
903C2×#121—471no—
904C2×#121—471no—
905C2×#121—471no—
906C2×#121C2×D4711yescharacteristic
907C2×#120—471no—
908C2×#120—471no—
909C2×#120—471no—
910C2×C4×Q8—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×C4×D4C2×D4711yescharacteristic
921C2×C4×D4C2×D4711yescharacteristic, complemented
922C2×#117—471no—
923C2×#117—471no—
924C2×#117—471no—
925C22×C22⋊C4—471no—
926C22×C22⋊C4—471no—
927C22×C42—471no—
928C22×C42—471no—
929C22×C42C2×D4711yescharacteristic
930#400—471no—
931#400—471no—
932#399—471no—
933#399—471no—
934#398—471no—
935#398—471no—
936#398—471no—
937#398—471no—
938#397—471no—
939#397—471no—
940#397—471no—
941#397—471no—
942#396—471no—
943#396—471no—
944#396—471no—
945#396—471no—
946#395—471no—
947#395—471no—
948#394—471no—
949#394—471no—
950#394—471no—
951#394—471no—
952#394—471no—
953#394—471no—
954#394—471no—
955#394—471no—
956#393—471no—
957#393—471no—
958#392—471no—
959#392—471no—
960#392—471no—
961#392—471no—
962#391—471no—
963#391—471no—
964#391—471no—
965#390—471no—
966#390—471no—
967#390—471no—
968#390—471no—
969#390—471no—
970#390—471no—
971#390C2×D4711yescharacteristic, complemented
972#389—471no—
973#389—471no—
974#389—471no—
975#389C2×D4711yescharacteristic, complemented
976#388—471no—
977#388—471no—
978#388—471no—
979#388—471no—
980#388—471no—
981#388—471no—
982#388—471no—
983#388—471no—
984#388—471no—
985#388—471no—
986#388—471no—
987#388—471no—
988#388C2×D4711yescharacteristic, complemented
989#388C2×D4711yescharacteristic, complemented
990#387—471no—
991#387—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#382—471no—
1009#381—471no—
1010#380—471no—
1011#380C2×D4711yescharacteristic
1012#379—471no—
1013C4×C4⋊C4—471no—
1014C4×C4⋊C4—471no—
1015C4×C4⋊C4—471no—
1016C4×C4⋊C4—471no—
1017C4×C4⋊C4—471no—
1018C4×C4⋊C4C2×D4711yescharacteristic, complemented
1019C4×C22⋊C4—471no—
1020C4×C22⋊C4—471no—
1021C4×C22⋊C4—471no—
1022C4×C22⋊C4—471no—
1023C4×C22⋊C4—471no—
1024C4×C22⋊C4—471no—
1025C4×C22⋊C4—471no—
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⋊C4C2×D4711yescharacteristic, complemented
1038C4×C22⋊C4C2×D4711yescharacteristic, complemented
1039C2×#95—471no—
1040C2×#95—471no—
1041C43—471no—
1042C47#3482911yescharacteristic, complemented, Sylow
1043C25—471no—
1044C2×#41—944no—
1045C2×#41—944no—
1046C2×#41—1882no—
1047C22×Q8—471no—
1048C22×Q8—471no—
1049C22×D4—471no—
1050C22×D4—471no—
1051C22×D4—471no—
1052C22×D4—471no—
1053C22×D4—471no—
1054C22×D4—471no—
1055C22×D4—471no—
1056C22×D4—471no—
1057C22×D4—471no—
1058C22×D4C22×D4711yescharacteristic
1059C22×D4C22×D4711yescharacteristic
1060C22×D4C22×D4711yescharacteristic
1061C23×C4—471no—
1062C23×C4—471no—
1063C23×C4—471no—
1064C23×C4—471no—
1065C23×C4—471no—
1066C23×C4—471no—
1067C23×C4—471no—
1068C23×C4—471no—
1069C23×C4—471no—
1070C23×C4—471no—
1071C23×C4—944no—
1072C23×C4—944no—
1073C23×C4—1882no—
1074C23×C4C22×D4711yescharacteristic
1075C23×C4C22×D4711yescharacteristic
1076C23×C4C22×D4711yescharacteristic
1077C23×C4C22×D4711yescharacteristic
1078C23×C4C22×D4711yescharacteristic
1079#126—944no—
1080#126—944no—
1081#125—944no—
1082#124—944no—
1083#124—944no—
1084#123—944no—
1085#123—944no—
1086#123—944no—
1087#123—944no—
1088#123—944no—
1089C22⋊Q8—944no—
1090C22⋊Q8—944no—
1091C22⋊Q8—944no—
1092#121—24no—
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×D4—24no—
1102C4×D4—24no—
1103C4×D4—42no—
1104C4×D4—478no—
1105C4×D4—944no—
1106C4×D4—944no—
1107C4×D4—944no—
1108C4×D4—944no—
1109C4×D4—944no—
1110C4×D4—944no—
1111C4×D4—1882no—
1112#117—944no—
1113#117—944no—
1114#117—944no—
1115C2×C4⋊C4—471no—
1116C2×C4⋊C4—471no—
1117C2×C4⋊C4—471no—
1118C2×C4⋊C4—471no—
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⋊C4C22×D4711yescharacteristic
1137C2×C4⋊C4C22×D4711yescharacteristic
1138C2×C4⋊C4C22×D4711yescharacteristic
1139C2×C4⋊C4C22×D4711yescharacteristic
1140C2×C4⋊C4C22×D4711yescharacteristic
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
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—944no—
1180C2×C22⋊C4—944no—
1181C2×C22⋊C4C22×D4711yescharacteristic
1182C2×C22⋊C4C22×D4711yescharacteristic
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—42no—
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—471no—
1203C2×C42—471no—
1204C2×C42—471no—
1205C2×C42—944no—
1206C2×C42—1882no—
1207C2×C42C22×D4711yescharacteristic
1208C2×C42C22×D4711yescharacteristic
1209C2×C42C22×D4711yescharacteristic
1210C2×C42C22×D4711yescharacteristic
1211C2×C42C22×D4711yescharacteristic
1212C2×C42C22×D4711yescharacteristic
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#95—471no—
1239#95C22×D4711yescharacteristic
1240#95C22×D4711yescharacteristic
1241#95C22×D4711yescharacteristic
1242#95C22×D4711yescharacteristic
1243#95C22×D4711yescharacteristic
1244#95C22×D4711yescharacteristic
1245C24—471no—
1246C24—471no—
1247C24—471no—
1248C24—942no—
1249C24—942no—
1250C24—942no—
1251C24—942no—
1252C24—942no—
1253C24—1881no—
1254C24—1881no—
1255C24C23×D4711yescharacteristic
1256C24C23×D4711yescharacteristic
1257C24C23×D4711yescharacteristic
1258#41—18816no—
1259C2×Q8—942no—
1260C2×Q8—942no—
1261C2×Q8—942no—
1262C2×Q8—942no—
1263C2×Q8—1881no—
1264C2×Q8—1881no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—474no—
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—1881no—
1294C2×D4—1881no—
1295C2×D4—1881no—
1296C2×D4—1881no—
1297C2×D4—1881no—
1298C2×D4—1881no—
1299C2×D4—1881no—
1300C2×D4—1881no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—471no—
1315C22×C4—471no—
1316C22×C4—471no—
1317C22×C4—471no—
1318C22×C4—471no—
1319C22×C4—471no—
1320C22×C4—471no—
1321C22×C4—474no—
1322C22×C4—474no—
1323C22×C4—471no—
1324C22×C4—471no—
1325C22×C4—471no—
1326C22×C4—471no—
1327C22×C4—471no—
1328C22×C4—471no—
1329C22×C4—942no—
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—1881no—
1351C22×C4—1881no—
1352C22×C4—1881no—
1353C22×C4—1881no—
1354C22×C4—1881no—
1355C22×C4—18816no—
1356C22×C4—1881no—
1357C22×C4—1881no—
1358C22×C4#1062535014yescomplemented
1359C22×C4D4×D4714yes—
1360C22×C4C23×D4711yescharacteristic
1361C22×C4C23×D4711yescharacteristic
1362C22×C4C23×D4711yescharacteristic
1363C22×C4C23×D4711yescharacteristic
1364C22×C4C23×D4711yescharacteristic
1365C22×C4C23×D4711yescharacteristic
1366C22×C4C23×D4711yescharacteristic
1367C22×C4C23×D4711yescharacteristic
1368C22×C4C23×D4711yescharacteristic
1369C22×C4C23×D4711yescharacteristic
1370C22×C4C23×D4711yescharacteristic
1371C22×C4C23×D4711yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—474no—
1378C4⋊C4—942no—
1379C4⋊C4—942no—
1380C4⋊C4—942no—
1381C4⋊C4—942no—
1382C4⋊C4—942no—
1383C4⋊C4—942no—
1384C4⋊C4—942no—
1385C4⋊C4—942no—
1386C4⋊C4—942no—
1387C4⋊C4—942no—
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—1881no—
1397C4⋊C4—1881no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—474no—
1409C22⋊C4—474no—
1410C22⋊C4—474no—
1411C22⋊C4—474no—
1412C22⋊C4—942no—
1413C22⋊C4—942no—
1414C22⋊C4—942no—
1415C22⋊C4—942no—
1416C22⋊C4—942no—
1417C22⋊C4—942no—
1418C22⋊C4—942no—
1419C22⋊C4—942no—
1420C22⋊C4—942no—
1421C22⋊C4—942no—
1422C22⋊C4—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—942no—
1442C22⋊C4—1881no—
1443C22⋊C4—1881no—
1444C22⋊C4—1881no—
1445C22⋊C4—1881no—
1446C42—22no—
1447C42—22no—
1448C42—22no—
1449C42—22no—
1450C42—41no—
1451C42—41no—
1452C42—474no—
1453C42—942no—
1454C42—942no—
1455C42—942no—
1456C42—942no—
1457C42—942no—
1458C42—942no—
1459C42—942no—
1460C42—942no—
1461C42—942no—
1462C42—1881no—
1463C42—1881no—
1464C42—1881no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
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—21no—
1482C23—21no—
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—1884no—
1506C23—1884no—
1507C23—1884no—
1508C23—1884no—
1509C23—1884no—
1510C23—1884no—
1511C23C2×D4×D4712yes—
1512C23#41×D4712yes—
1513C23C2×#1062535012yes—
1514C23C24×D4711yescharacteristic
1515Q8—1884no—
1516Q8—1884no—
1517D4—44no—
1518D4—44no—
1519D4—44no—
1520D4—948no—
1521D4—1884no—
1522D4—1884no—
1523D4—1884no—
1524D4—1884no—
1525D4—1884no—
1526D4—1884no—
1527D4—1884no—
1528D4—1884no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—28no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
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—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—472no—
1564C2×C4—472no—
1565C2×C4—472no—
1566C2×C4—472no—
1567C2×C4—472no—
1568C2×C4—472no—
1569C2×C4—472no—
1570C2×C4—941no—
1571C2×C4—941no—
1572C2×C4—941no—
1573C2×C4—941no—
1574C2×C4—941no—
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—948no—
1585C2×C4—948no—
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—1884no—
1605C2×C4—1884no—
1606C2×C4—1884no—
1607C2×C4—1884no—
1608C2×C4—1884no—
1609C2×C4—1884no—
1610C2×C4—1884no—
1611C2×C4—1884no—
1612C2×C4C2×D4×D4712yes—
1613C2×C4C2×D4×D4712yes—
1614C2×C4#41×D4712yes—
1615C2×C4#41×D4712yes—
1616C2×C4C2×#1062535012yes—
1617C2×C4C2×#1062535012yes—
1618C2×C4#1309406912yes—
1619C22—22no—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—942no—
1640C22—942no—
1641C22—942no—
1642C22—942no—
1643C22—942no—
1644C22—942no—
1645C22—942no—
1646C22—942no—
1647C22—942no—
1648C22—18816no—
1649C22—1881no—
1650C22—1881no—
1651C22—1881no—
1652C22—1881no—
1653C22—1881no—
1654C22—1881no—
1655C22—1881no—
1656C22—1881no—
1657C22—1881no—
1658C22—1881no—
1659C22—1881no—
1660C22—1881no—
1661C22#1568967014yes—
1662C22C22×D4×D4711yescharacteristic
1663C22C2×#41×D4711yescharacteristic
1664C22C2×#41×D4711yescharacteristic
1665C22C2×#41×D4711yescharacteristic
1666C22C22×#1062535011yescharacteristic
1667C22C2×#1309406911yescharacteristic
1668C22#1568995911yescharacteristic
1669C4—22no—
1670C4—22no—
1671C4—22no—
1672C4—22no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—942no—
1681C4—942no—
1682C4—942no—
1683C4—942no—
1684C4—942no—
1685C4—942no—
1686C4—942no—
1687C4—1881no—
1688C4—1881no—
1689C4—1881no—
1690C4—1881no—
1691C4—1881no—
1692C4—1881no—
1693C4#1568976214yes—
1694C2—24no—
1695C2—81no—
1696C2—81no—
1697C2—1882no—
1698C2—1882no—
1699C2—1882no—
1700C2C2×#1568967011yescharacteristic
1701C2#2025668111yescharacteristic
1702C2#2025679711yescharacteristic
1703C2C2×#1568976211yescharacteristic
1704C2#2025687411yescharacteristic
1705C2#2025694011yescharacteristic
1706C2#2025699011yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutator, socle, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC4×#121×C47C2
hypercenterC4×#121D47
hypocenterC47#34829
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
1. C2×#15689653C2semidirect
2. C2×#15689632C2semidirect
3. #20248534C2semidirect
4. #20248519C2semidirect
5. #20248504C2semidirect
6. #20248489C2semidirect
7. #20248474C2semidirect
8. #20248462C2semidirect
9. #20248450C2semidirect
10. #20248435C2semidirect
11. #20248400C2semidirect
12. #20248350C2semidirect
13. #20248320C2semidirect
14. #20248280C2semidirect
15. #20247716C2semidirect
16. #20247516C2semidirect
17. #20246941C2semidirect
18. #20246926C2semidirect
19. #20246664C2semidirect
20. #20246651C2semidirect
21. #20246630C2semidirect
22. #20246603C2semidirect
23. C4×#13094010C2semidirect
24. C4×#13094005C2semidirect
25. C4×#13093997C2semidirect
26. C4×#13093992C2semidirect
27. #20245874C2semidirect
28. #20245851C2semidirect
29. C42×C22⋊D47C2semidirect
30. C2×C4×(C2×D47)⋊C4C2semidirect
31. C4×#121×C47C2semidirect
35. C2×#13094019C22semidirect
36. C2×#13094017C22semidirect
37. C2×#13094014C22semidirect
39. C2×#13094010C22semidirect
56. C2×C4×Dic94C22semidirect
64. C2×C4×C22⋊D47C22semidirect
65. C2×#13093983C22semidirect
67. C2×#13093981C22semidirect
71. C2×C42×D47C22semidirect
72. #15689065C22semidirect
73. #15689064C22semidirect
76. #15689057C22semidirect
77. #15689056C22semidirect
78. #15689056C22semidirect
79. #15689054C22semidirect
81. #15689052C22semidirect
82. #15689051C22semidirect
83. #15689049C22semidirect
85. #15689046C22semidirect
88. #15689043C22semidirect
89. #15689043C22semidirect
96. #15689038C22semidirect
97. #15689037C22semidirect
99. #15689035C22semidirect
103. #15689031C22semidirect
104. #15689027C22semidirect
105. #15689027C22semidirect
106. #15689027C22semidirect
113. #15689020C22semidirect
114. #15689020C22semidirect
115. #15689020C22semidirect
116. #15689016C22semidirect
117. #15689016C22semidirect
123. #15689011C22semidirect
124. #15689011C22semidirect
125. #15689011C22semidirect
126. #15689011C22semidirect
127. #15689011C22semidirect
128. #15689004C22semidirect
129. #15689004C22semidirect
137. #15688999C22semidirect
138. #15688999C22semidirect
139. #15688999C22semidirect
144. #15688987C22semidirect
146. #15688982C22semidirect
148. C4×Dic47⋊C4C22semidirect
149. C4×Dic47⋊C4C22semidirect
150. C4×Dic47⋊C4C22semidirect
151. C4×Dic47⋊C4C22semidirect
152. C4×Dic47⋊C4C22semidirect
163. C4×(C2×D47)⋊C4C22semidirect
164. C4×(C2×D47)⋊C4C22semidirect
165. C4×(C2×D47)⋊C4C22semidirect
169. C4×C22⋊Dic47C22semidirect
170. C4×C22⋊Dic47C22semidirect
173. C42×Dic47C22semidirect
177. C2×C4×D4×C47C22semidirect
179. C47×#390C22semidirect
180. C47×#389C22semidirect
181. C47×#388C22semidirect
182. C47×#388C22semidirect
186. C4×C4⋊C4×C47C22semidirect
187. C4×C22⋊C4×C47C22semidirect
188. C4×C22⋊C4×C47C22semidirect
245. C4×C22⋊D47D4semidirect
427. C22×C4×C47#41semidirect
551. C22⋊Dic47#41semidirect
576. (C2×D47)⋊C4#41semidirect
866. C4×#121D47semidirect
921. C2×C4×D4C2×D47semidirect
971. #390C2×D47semidirect
975. #389C2×D47semidirect
988. #388C2×D47semidirect
989. #388C2×D47semidirect
1018. C4×C4⋊C4C2×D47semidirect
1037. C4×C22⋊C4C2×D47semidirect
1038. C4×C22⋊C4C2×D47semidirect
1042. C47#34829semidirect
1358. C22×C4#10625350semidirect

Maximal subgroups

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

subgroupindex
C2×#156896532
C2×#156896322
#202485342
#202485192
#202485042
#202484892
#202484742
#202484622
#202484502
#202484352
#202484002
#202483502
#202483202
#202482802
#202477162
#202475162
#202469412
#202469262
#202466642
#202466512
#202466302
#202466032
C4×#130940102
C4×#130940052
C4×#130939972
C4×#130939922
#202458742
#202458512
C42×C22⋊D472
C2×C4×(C2×D47)⋊C42
C4×#121×C472
#3482947