Finite Group Databasebeta

← C4×#15689824 #26376207

Subgroups — C4×#15689824 #26376207

Order 12032.

2600 conjugacy classes of subgroups.

The subgroup lattice has 1544 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689824C211yesmaximal, characteristic
2#20246520C211yesmaximal, characteristic, complemented
3#20246518C211yesmaximal, characteristic, complemented
4#20246512C211yesmaximal, characteristic, complemented
5#20246501C211yesmaximal, characteristic, complemented
6#20246481C211yesmaximal, characteristic, complemented
7#20246434C211yesmaximal, characteristic, complemented
8#20246432C211yesmaximal, characteristic, complemented
9#20246421C211yesmaximal, characteristic, complemented
10#20246401C211yesmaximal, characteristic, complemented
11#20246358C211yesmaximal, characteristic, complemented
12#20246323C211yesmaximal, characteristic, complemented
13#20246321C211yesmaximal, characteristic, complemented
14#20246312C211yesmaximal, characteristic, complemented
15#20246276C211yesmaximal, characteristic, complemented
16#20246262C211yesmaximal, characteristic, complemented
17C4×#13094014C211yesmaximal, characteristic, complemented
18C4×#13094019C211yesmaximal, characteristic, complemented
19C4×#13094009C211yesmaximal, characteristic, complemented
20C4×#13094008C211yesmaximal, characteristic, complemented
21C4×#13093999C211yesmaximal, characteristic, complemented
22C4×#13093997C211yesmaximal, characteristic, complemented
23C4×#13093997C211yesmaximal, characteristic, complemented
24C4×#13093997C211yesmaximal, characteristic, complemented
25C42×D188C211yesmaximal, characteristic, complemented
26C4×#13093986C211yesmaximal, characteristic, complemented
27C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
28C4×(C22⋊D47)⋊C4C211yesmaximal, characteristic, complemented
29C4×#13093981C211yesmaximal, characteristic, complemented
30C4×C4⋊C4×D47C211yesmaximal, characteristic, complemented
31C4×#126×C47C211yesmaximal, characteristic, complemented
32#15689824C4116yesdirect product factor
33C2×#13094019C2211yescharacteristic
34C2×#13094014C2211yescharacteristic
35C2×#13094009C2211yescharacteristic
36C2×#13094008C2211yescharacteristic
37C2×#13093999C2211yescharacteristic
38C2×#13093997C2211yescharacteristic
39C2×#13093997C2211yescharacteristic
40C2×#13093997C2211yescharacteristic
41C2×C4×D188C2211yescharacteristic
42C2×C4×D188C2211yescharacteristic
43C2×C4×D188C2211yescharacteristic
44C2×C4×D188C2211yescharacteristic
45C2×C4×D188C2211yescharacteristic
46C2×#13093986C2211yescharacteristic
47C2×#13093986C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic
50C2×C4×C22⋊D47C2211yescharacteristic
51C2×(C22⋊D47)⋊C4C2211yescharacteristic
52C2×(C22⋊D47)⋊C4C2211yescharacteristic
53C2×(C22⋊D47)⋊C4C2211yescharacteristic
54C2×(C22⋊D47)⋊C4C2211yescharacteristic
55C2×#13093981C2211yescharacteristic
56C2×#13093981C2211yescharacteristic
57C2×C4⋊C4×D47C2211yescharacteristic
58C2×C4⋊C4×D47C2211yescharacteristic
59C22×C4×Dic47C2211yescharacteristic
60C2×C42×D47C2211yescharacteristic
61C2×C42×D47C2211yescharacteristic
62C2×C42×D47C2211yescharacteristic
63C2×C42×D47C2211yescharacteristic
64C2×C42×D47C2211yescharacteristic
65#15689024C2211yescharacteristic
66#15689023C2211yescharacteristic
67#15689023C2211yescharacteristic
68#15689023C2211yescharacteristic
69#15689022C2211yescharacteristic
70#15689020C2211yescharacteristic
71#15689020C2211yescharacteristic
72#15689020C2211yescharacteristic
73#15689020C2211yescharacteristic
74#15689018C2211yescharacteristic
75#15689016C2211yescharacteristic
76#15689016C2211yescharacteristic
77#15689016C2211yescharacteristic
78#15689015C2211yescharacteristic
79#15689015C2211yescharacteristic
80#15689015C2211yescharacteristic
81#15689015C2211yescharacteristic
82#15689015C2211yescharacteristic
83#15689013C2211yescharacteristic
84#15689013C2211yescharacteristic
85#15689012C2211yescharacteristic
86#15689012C2211yescharacteristic
87#15689012C2211yescharacteristic
88#15689012C2211yescharacteristic
89#15689012C2211yescharacteristic
90#15689010C2211yescharacteristic
91#15689009C2211yescharacteristic
92#15689009C2211yescharacteristic
93#15689009C2211yescharacteristic
94#15689008C2211yescharacteristic
95#15689008C2211yescharacteristic
96#15689008C2211yescharacteristic
97#15689006C2211yescharacteristic
98#15689005C2211yescharacteristic
99#15689004C2211yescharacteristic
100#15689004C2211yescharacteristic
101#15689001C2211yescharacteristic
102#15689001C2211yescharacteristic
103#15689001C2211yescharacteristic
104#15689001C2211yescharacteristic
105#15689001C2211yescharacteristic
106#15689001C2211yescharacteristic
107#15689000C2211yescharacteristic
108#15688999C2211yescharacteristic
109#15688999C2211yescharacteristic
110#15688999C2211yescharacteristic
111#15688998C2211yescharacteristic
112#15688994C2211yescharacteristic
113#15688990C2211yescharacteristic
114#15688987C2211yescharacteristic
115#15688985C2211yescharacteristic
116#15688984C2211yescharacteristic
117#15688982C2211yescharacteristic
118#15688982C2211yescharacteristic
119#15688982C2211yescharacteristic
120#15688980C2211yescharacteristic
121C4⋊C4×Dic47C2211yescharacteristic
122C4⋊C4×Dic47C2211yescharacteristic
123C4⋊C4×Dic47C2211yescharacteristic
124C4⋊C4×Dic47C2211yescharacteristic
125C4×Dic47⋊C4C2211yescharacteristic
126C4×Dic47⋊C4C2211yescharacteristic
127C4×Dic47⋊C4C2211yescharacteristic
128C4×Dic47⋊C4C2211yescharacteristic
129C4×Dic47⋊C4C2211yescharacteristic
130C4×Dic47⋊C4C2211yescharacteristic
131C4×Dic47⋊C4C2211yescharacteristic
132C4×C4⋊Dic47C2211yescharacteristic
133C4×C4⋊Dic47C2211yescharacteristic
134C4×C4⋊Dic47C2211yescharacteristic
135C4×C4⋊Dic47C2211yescharacteristic
136#15688974C2211yescharacteristic
137#15688974C2211yescharacteristic
138#15688974C2211yescharacteristic
139#15688974C2211yescharacteristic
140#15688974C2211yescharacteristic
141#15688974C2211yescharacteristic
142C22⋊C4×Dic47C2211yescharacteristic
143C22⋊C4×Dic47C2211yescharacteristic
144C22⋊C4×Dic47C2211yescharacteristic
145C22⋊C4×Dic47C2211yescharacteristic
146C4×(C2×D47)⋊C4C2211yescharacteristic
147C4×(C2×D47)⋊C4C2211yescharacteristic
148C4×(C2×D47)⋊C4C2211yescharacteristic
149C4×(C2×D47)⋊C4C2211yescharacteristic
150C4×(C2×D47)⋊C4C2211yescharacteristic
151C4×(C2×D47)⋊C4C2211yescharacteristic
152C4×(C2×D47)⋊C4C2211yescharacteristic
153C4×(C2×D47)⋊C4C2211yescharacteristic
154C4×(C2×D47)⋊C4C2211yescharacteristic
155C4×(C2×D47)⋊C4C2211yescharacteristic
156C4×(C2×D47)⋊C4C2211yescharacteristic
157C4×(C2×D47)⋊C4C2211yescharacteristic
158C4×(C2×D47)⋊C4C2211yescharacteristic
159#15688970C2211yescharacteristic
160#15688970C2211yescharacteristic
161#15688970C2211yescharacteristic
162#15688970C2211yescharacteristic
163#15688970C2211yescharacteristic
164#15688970C2211yescharacteristic
165#15688970C2211yescharacteristic
166#15688970C2211yescharacteristic
167#15688969C2211yescharacteristic
168#15688969C2211yescharacteristic
169#95×D47C2211yescharacteristic
170#95×D47C2211yescharacteristic
171C42×Dic47C2211yescharacteristic
172C42×Dic47C2211yescharacteristic
173C2×#126×C47C2211yescharacteristic
174C47×#388C2211yescharacteristic
175C47×#388C2211yescharacteristic
176C47×#388C2211yescharacteristic
177C47×#387C2211yescharacteristic
178C47×#387C2211yescharacteristic
179C47×#387C2211yescharacteristic
180C47×#383C2211yescharacteristic
181C4×C4⋊C4×C47C2211yescharacteristic
182C4×C4⋊C4×C47C2211yescharacteristic
183C4×C4⋊C4×C47C2211yescharacteristic
184C4×C22⋊C4×C47C2211yescharacteristic
185C4×C22⋊C4×C47C2211yescharacteristic
186C4×C22⋊C4×C47C2211yescharacteristic
187C43×C47C2211yescharacteristic
188C22×D188C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C23×Dic47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C22×C4×D47C2311yescharacteristic
197C22×C4×D47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209#13094019C2×C418yescomplemented
210#13094014C2×C418yescomplemented
211#13094009C2×C418yescomplemented
212#13094008C2×C418yescomplemented
213#13093999C2×C418yescomplemented
214#13093997C2×C418yescomplemented
215#13093997C2×C418yescomplemented
216#13093997C2×C418yescomplemented
217C4×D188—24no—
218C4×D188—24no—
219C4×D188—24no—
220C4×D188—42no—
221C4×D188C2×C418yescomplemented
222#13093986—24no—
223#13093986C2×C418yescomplemented
224C4×C22⋊D47—24no—
225C4×C22⋊D47—24no—
226C4×C22⋊D47—42no—
227(C22⋊D47)⋊C4—24no—
228(C22⋊D47)⋊C4—24no—
229(C22⋊D47)⋊C4C2×C418yescomplemented
230(C22⋊D47)⋊C4C2×C418yescomplemented
231#13093981—24no—
232#13093981C2×C418yescomplemented
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C4⋊C4×D47—24no—
254C4⋊C4×D47C2×C418yescomplemented
255C2×C22⋊Dic47C2311yescharacteristic
256C2×C22⋊Dic47C2311yescharacteristic
257C2×C22⋊Dic47C2311yescharacteristic
258C2×(C2×D47)⋊C4C2311yescharacteristic
259C2×(C2×D47)⋊C4C2311yescharacteristic
260C2×(C2×D47)⋊C4C2311yescharacteristic
261C2×(C2×D47)⋊C4C2311yescharacteristic
262C2×(C2×D47)⋊C4C2311yescharacteristic
263C2×(C2×D47)⋊C4C2311yescharacteristic
264C2×(C2×D47)⋊C4C2311yescharacteristic
265C2×(C2×D47)⋊C4C2311yescharacteristic
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×C4×Dic47—42no—
282C2×C4×Dic47C2311yescharacteristic
283C2×C4×Dic47C2311yescharacteristic
284C2×C4×Dic47C2311yescharacteristic
285C2×C4×Dic47C2311yescharacteristic
286C2×C4×Dic47C2311yescharacteristic
287C2×C4×Dic47C2311yescharacteristic
288C2×C4×Dic47C2311yescharacteristic
289C2×C4×Dic47C2311yescharacteristic
290C2×C4×Dic47C2311yescharacteristic
291C2×C4×Dic47C2311yescharacteristic
292C2×C4×Dic47C2311yescharacteristic
293C2×C4×Dic47C2311yescharacteristic
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C2×C4×Dic47C2311yescharacteristic
306C2×C4×Dic47C2311yescharacteristic
307C42×D47—24no—
308C42×D47—24no—
309C42×D47—42no—
310C42×D47—42no—
311C42×D47—42no—
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
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
340C23×C4×C47C2311yescharacteristic
341#126×C47C2×C418yescomplemented
342C2×C4⋊C4×C47C2311yescharacteristic
343C2×C4⋊C4×C47C2311yescharacteristic
344C2×C4⋊C4×C47C2311yescharacteristic
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C22⋊C4×C47C2311yescharacteristic
349C2×C22⋊C4×C47C2311yescharacteristic
350C2×C22⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C42×C47C2311yescharacteristic
355C2×C42×C47C2311yescharacteristic
356C2×C42×C47C2311yescharacteristic
357C2×C42×C47C2311yescharacteristic
358C2×C42×C47C2311yescharacteristic
359C2×C42×C47C2311yescharacteristic
360C2×C42×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364#95×C47C2311yescharacteristic
365#95×C47C2311yescharacteristic
366#95×C47C2311yescharacteristic
367#95×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376C24×C47C2411yescharacteristic
377C23×D47C2411yescharacteristic
378C23×D47C2411yescharacteristic
379C23×D47C2411yescharacteristic
380C22×C4×C47—22no—
381C22×C4×C47—22no—
382C22×C4×C47—22no—
383C22×C4×C47C2411yescharacteristic
384C22×C4×C47C2411yescharacteristic
385C22×C4×C47C2411yescharacteristic
386C22×C4×C47C2411yescharacteristic
387C22×C4×C47C2411yescharacteristic
388C22×C4×C47C2411yescharacteristic
389C22×C4×C47C2411yescharacteristic
390C22×C4×C47C2411yescharacteristic
391C22×C4×C47C2411yescharacteristic
392C22×C4×C47C2411yescharacteristic
393C22×C4×C47C2411yescharacteristic
394C22×C4×C47C2411yescharacteristic
395C22×C4×C47C2411yescharacteristic
396C22×C4×C47C2411yescharacteristic
397C2×C22⋊D47—22no—
398C2×C22⋊D47—22no—
399C2×C22⋊D47—22no—
400C2×C22⋊D47—22no—
401C2×C22⋊D47—41no—
402C2×C22⋊D47—41no—
403C2×C22⋊D47C22×C414yes—
404C2×C22⋊D47C22×C414yes—
405C2×C22⋊D47C22×C414yes—
406C22×Dic47—22no—
407C22×Dic47—22no—
408C22×Dic47—41no—
409C22×Dic47—41no—
410C22×Dic47—41no—
411C22×Dic47C22×C414yes—
412C22×Dic47C2411yescharacteristic
413C22×Dic47C2411yescharacteristic
414C22×Dic47C2411yescharacteristic
415C22×Dic47C2411yescharacteristic
416C22×Dic47C2411yescharacteristic
417C22×Dic47C2411yescharacteristic
418C22×Dic47C2411yescharacteristic
419C22×Dic47C2411yescharacteristic
420C22×Dic47C2411yescharacteristic
421C22×Dic47C2411yescharacteristic
422C22×Dic47C2411yescharacteristic
423C22×Dic47C2411yescharacteristic
424C22×Dic47C2411yescharacteristic
425C2×D188—22no—
426C2×D188—22no—
427C2×D188—22no—
428C2×D188—22no—
429C2×D188—41no—
430C2×D188—41no—
431C2×D188C22×C414yes—
432C2×D188C22×C414yes—
433C2×D188C22×C414yes—
434C2×C4×D47—22no—
435C2×C4×D47—22no—
436C2×C4×D47—22no—
437C2×C4×D47—22no—
438C2×C4×D47—22no—
439C2×C4×D47—22no—
440C2×C4×D47—22no—
441C2×C4×D47—22no—
442C2×C4×D47—22no—
443C2×C4×D47—22no—
444C2×C4×D47—22no—
445C2×C4×D47—22no—
446C2×C4×D47—22no—
447C2×C4×D47—22no—
448C2×C4×D47—22no—
449C2×C4×D47—22no—
450C2×C4×D47—22no—
451C2×C4×D47—22no—
452C2×C4×D47—22no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—41no—
457C2×C4×D47—41no—
458C2×C4×D47—41no—
459C2×C4×D47—41no—
460C2×C4×D47—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47C22×C414yes—
468C2×C4×D47C22×C414yes—
469C2×C4×D47C22×C414yes—
470C2×C4×D47C22×C414yes—
471C2×C4×D47C22×C414yes—
472C2×C4×D47#4114yes—
473C4⋊C4×C47—22no—
474C4⋊C4×C47—22no—
475C4⋊C4×C47—41no—
476C4⋊C4×C47C22×C414yes—
477C4⋊C4×C47C22×C414yes—
478C4⋊C4×C47C22×C414yes—
479C22⋊C4×C47—22no—
480C22⋊C4×C47—22no—
481C22⋊C4×C47—41no—
482C22⋊C4×C47C22×C414yes—
483C22⋊C4×C47C22×C414yes—
484C22⋊C4×C47C22×C414yes—
485C42×C47—22no—
486C42×C47—22no—
487C42×C47—22no—
488C42×C47—22no—
489C42×C47—22no—
490C42×C47—22no—
491C42×C47—22no—
492C42×C47—22no—
493C42×C47—41no—
494C42×C47C22×C414yes—
495C22⋊Dic47—22no—
496C22⋊Dic47—22no—
497C22⋊Dic47—41no—
498(C2×D47)⋊C4—22no—
499(C2×D47)⋊C4—22no—
500(C2×D47)⋊C4—22no—
501(C2×D47)⋊C4—22no—
502(C2×D47)⋊C4—22no—
503(C2×D47)⋊C4—22no—
504(C2×D47)⋊C4—22no—
505(C2×D47)⋊C4—22no—
506(C2×D47)⋊C4—22no—
507(C2×D47)⋊C4—22no—
508(C2×D47)⋊C4—22no—
509(C2×D47)⋊C4—41no—
510(C2×D47)⋊C4—41no—
511(C2×D47)⋊C4—41no—
512(C2×D47)⋊C4—41no—
513(C2×D47)⋊C4C22×C414yes—
514(C2×D47)⋊C4C22×C414yes—
515(C2×D47)⋊C4C22×C414yes—
516(C2×D47)⋊C4C22×C414yes—
517(C2×D47)⋊C4C22×C414yes—
518(C2×D47)⋊C4C22×C414yes—
519(C2×D47)⋊C4C22×C414yes—
520(C2×D47)⋊C4#4114yes—
521C4⋊Dic47—22no—
522C4⋊Dic47—22no—
523C4⋊Dic47—22no—
524C4⋊Dic47—22no—
525C4⋊Dic47—41no—
526C4⋊Dic47C22×C414yes—
527C4⋊Dic47C22×C414yes—
528Dic47⋊C4—22no—
529Dic47⋊C4—22no—
530Dic47⋊C4—22no—
531Dic47⋊C4—22no—
532Dic47⋊C4—22no—
533Dic47⋊C4—41no—
534Dic47⋊C4—41no—
535Dic47⋊C4C22×C414yes—
536Dic47⋊C4C22×C414yes—
537Dic47⋊C4C22×C414yes—
538Dic47⋊C4C22×C414yes—
539Dic47⋊C4C22×C414yes—
540Dic47⋊C4#4114yes—
541C4×Dic47—22no—
542C4×Dic47—22no—
543C4×Dic47—22no—
544C4×Dic47—22no—
545C4×Dic47—22no—
546C4×Dic47—22no—
547C4×Dic47—22no—
548C4×Dic47—22no—
549C4×Dic47—22no—
550C4×Dic47—22no—
551C4×Dic47—22no—
552C4×Dic47—22no—
553C4×Dic47—41no—
554C4×Dic47—41no—
555C4×Dic47—41no—
556C4×Dic47—41no—
557C4×Dic47—41no—
558C4×Dic47—41no—
559C4×Dic47—41no—
560C4×Dic47—41no—
561C4×Dic47—41no—
562C4×Dic47—41no—
563C4×Dic47C22×C414yes—
564C4×Dic47C22×C414yes—
565C4×Dic47#4114yes—
566C23×C47—21no—
567C23×C47—21no—
568C23×C47—21no—
569C23×C47—21no—
570C23×C47—21no—
571C23×C47—21no—
572C23×C47C23×C412yes—
573C23×C47C2511yescharacteristic
574C22×D47—21no—
575C22×D47—21no—
576C22×D47—21no—
577C22×D47—21no—
578C22×D47—21no—
579C22×D47—21no—
580C22×D47—21no—
581C22×D47—21no—
582C22×D47—21no—
583C22×D47—21no—
584C22×D47—21no—
585C22×D47—21no—
586C22×D47—21no—
587C22×D47—21no—
588C22×D47—21no—
589C22×D47—21no—
590C22×D47C23×C412yes—
591C22×D47C23×C412yes—
592C22×D47C23×C412yes—
593C22×D47C2×#4112yes—
594C22×D47C2×#4112yes—
595C2×C4×C47—21no—
596C2×C4×C47—21no—
597C2×C4×C47—21no—
598C2×C4×C47—21no—
599C2×C4×C47—21no—
600C2×C4×C47—21no—
601C2×C4×C47—21no—
602C2×C4×C47—21no—
603C2×C4×C47—21no—
604C2×C4×C47—21no—
605C2×C4×C47—21no—
606C2×C4×C47—21no—
607C2×C4×C47—21no—
608C2×C4×C47—21no—
609C2×C4×C47—21no—
610C2×C4×C47—21no—
611C2×C4×C47—21no—
612C2×C4×C47—21no—
613C2×C4×C47—21no—
614C2×C4×C47—21no—
615C2×C4×C47—21no—
616C2×C4×C47—21no—
617C2×C4×C47—21no—
618C2×C4×C47—21no—
619C2×C4×C47—21no—
620C2×C4×C47—21no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—44no—
627C2×C4×C47C23×C412yes—
628C2×C4×C47C23×C412yes—
629C2×C4×C47C23×C412yes—
630C2×C4×C47C23×C412yes—
631C2×C4×C47C23×C412yes—
632C2×C4×C47C23×C412yes—
633C2×C4×C47C2×#4112yes—
634C2×C4×C47C2×#4112yes—
635C2×C4×C47C2×#4112yes—
636C2×C4×C47C2×#4112yes—
637C2×C4×C47H(5,𝔽2)12yes—
638C22⋊D47—28no—
639C22⋊D47—28no—
640C22⋊D47—44no—
641C2×Dic47—21no—
642C2×Dic47—21no—
643C2×Dic47—21no—
644C2×Dic47—21no—
645C2×Dic47—21no—
646C2×Dic47—21no—
647C2×Dic47—21no—
648C2×Dic47—21no—
649C2×Dic47—21no—
650C2×Dic47—21no—
651C2×Dic47—21no—
652C2×Dic47—21no—
653C2×Dic47—21no—
654C2×Dic47—21no—
655C2×Dic47—21no—
656C2×Dic47—21no—
657C2×Dic47—21no—
658C2×Dic47—21no—
659C2×Dic47—21no—
660C2×Dic47—21no—
661C2×Dic47—21no—
662C2×Dic47—21no—
663C2×Dic47—21no—
664C2×Dic47—21no—
665C2×Dic47—21no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—44no—
670C2×Dic47—44no—
671C2×Dic47C23×C412yes—
672C2×Dic47C23×C412yes—
673C2×Dic47C23×C412yes—
674C2×Dic47C23×C412yes—
675C2×Dic47C23×C412yes—
676C2×Dic47C2×#4112yes—
677C2×Dic47C2×#4112yes—
678C2×Dic47C2×#4112yes—
679C2×Dic47C2×#4112yes—
680C2×Dic47C2×#4112yes—
681C2×Dic47C2×#4112yes—
682D188—28no—
683D188—28no—
684D188—44no—
685C4×D47—28no—
686C4×D47—28no—
687C4×D47—28no—
688C4×D47—44no—
689C4×D47—44no—
690C4×D47—44no—
691C4×D47—44no—
692C4×D47—44no—
693C4×D47—44no—
694C4×D47—44no—
695C4×D47—44no—
696C4×D47—44no—
697C4×D47—44no—
698C4×#553—471nomaximal, Sylow
699C22×C47—22no—
700C22×C47—22no—
701C22×C47—22no—
702C22×C47—41no—
703C22×C47—41no—
704C22×C47—41no—
705C22×C47—41no—
706C22×C47C24×C411yescharacteristic
707C22×C47C22×#4111yescharacteristic
708C22×C47C22×#4111yescharacteristic
709C22×C47C22×#4111yescharacteristic
710C22×C47C22×#4111yescharacteristic
711C22×C47C2×H(5,𝔽2)11yescharacteristic
712C22×C47#58511yescharacteristic
713C2×D47—22no—
714C2×D47—22no—
715C2×D47—22no—
716C2×D47—22no—
717C2×D47—22no—
718C2×D47—22no—
719C2×D47—22no—
720C2×D47—22no—
721C2×D47—22no—
722C2×D47—22no—
723C2×D47—22no—
724C2×D47—22no—
725C2×D47—41no—
726C2×D47—41no—
727C2×D47—41no—
728C2×D47—41no—
729C2×D47—41no—
730C2×D47—41no—
731C2×D47—41no—
732C2×D47—41no—
733C2×D47C4×#4114yes—
734C4×C47—22no—
735C4×C47—22no—
736C4×C47—22no—
737C4×C47—22no—
738C4×C47—22no—
739C4×C47—22no—
740C4×C47—22no—
741C4×C47—22no—
742C4×C47—41no—
743C4×C47—41no—
744C4×C47—41no—
745C4×C47—41no—
746C4×C47—41no—
747C4×C47#55314yescomplemented
748Dic47—22no—
749Dic47—22no—
750Dic47—22no—
751Dic47—22no—
752Dic47—22no—
753Dic47—22no—
754Dic47—22no—
755Dic47—22no—
756Dic47—41no—
757Dic47—41no—
758Dic47—41no—
759Dic47—41no—
760Dic47C4×#4114yes—
761C2×#553—471no—
762#2374—471no—
763#2374—471no—
764#2373—471no—
765#2373—471no—
766#2370—471no—
767#2364—471no—
768#2364—471no—
769#2363—471no—
770#2361—471no—
771#2357—471no—
772#2353—471no—
773#2353—471no—
774#2352—471no—
775#2347—471no—
776#2345—471no—
777C4×#125—471no—
778C4×#126—471no—
779C4×#126D4711yescharacteristic, complemented
780C4×#123—471no—
781C4×#123—471no—
782C4×#121—471no—
783C4×#121—471no—
784C4×#121—471no—
785C4×#121—471no—
786C42×D4—471no—
787C42×D4—471no—
788C42×D4—471no—
789C42×D4—471no—
790C4×#117—471no—
791C2×C4×C4⋊C4—471no—
792C2×C47—42no—
793C2×C47C2×C4×#4111yescharacteristic
794C2×C47C2×C4×#4111yescharacteristic
795C2×C47C4×H(5,𝔽2)11yescharacteristic
796C2×C47C2×#55311yescharacteristic
797C2×C47#347511yescharacteristic
798C2×C47#348011yescharacteristic
799C2×C47#348111yescharacteristic
800D47—24no—
801D47—42no—
802D47—42no—
803#553—4716no—
804C2×#126—471no—
805C2×#126C2×D4711yescharacteristic
806C2×#125—471no—
807C2×#123—471no—
808C2×#123—471no—
809C2×#121—471no—
810C2×#121—471no—
811C2×#121—471no—
812C2×#121—471no—
813C2×C4×D4—471no—
814C2×C4×D4—471no—
815C2×C4×D4—471no—
816C2×C4×D4—471no—
817C2×C4×D4—471no—
818C2×C4×D4—471no—
819C2×C4×D4—471no—
820C2×C4×D4—471no—
821C2×C4×D4—471no—
822C2×C4×D4—471no—
823C2×C4×D4—471no—
824C2×C4×D4—471no—
825C2×C4×D4—471no—
826C2×C4×D4—471no—
827C2×#117—471no—
828C2×#117—471no—
829C22×C4⋊C4—471no—
830C22×C4⋊C4—471no—
831C22×C42—471no—
832C22×C42—471no—
833C22×C42—471no—
834C22×C42—471no—
835C22×C42—471no—
836C22×C42—471no—
837#390—471no—
838#390—471no—
839#390—471no—
840#390—471no—
841#389—471no—
842#389—471no—
843#389—471no—
844#389—471no—
845#389—471no—
846#389—471no—
847#388—471no—
848#388—471no—
849#388—471no—
850#388—471no—
851#388—471no—
852#388—471no—
853#388—471no—
854#388—471no—
855#388—471no—
856#388—471no—
857#388—471no—
858#388—471no—
859#388—471no—
860#388—471no—
861#388—471no—
862#388C2×D4711yescharacteristic
863#388C2×D4711yescharacteristic
864#388C2×D4711yescharacteristic
865#387—471no—
866#387—471no—
867#387—471no—
868#387—471no—
869#387—471no—
870#387—471no—
871#387—471no—
872#387—471no—
873#387—471no—
874#387—471no—
875#387—471no—
876#387C2×D4711yescharacteristic
877#387C2×D4711yescharacteristic
878#387C2×D4711yescharacteristic
879#386—471no—
880#386—471no—
881#386—471no—
882#386—471no—
883#386—471no—
884#386—471no—
885#386—471no—
886#386—471no—
887#386—471no—
888#386—471no—
889#385—471no—
890#385—471no—
891#383—471no—
892#383C2×D4711yescharacteristic
893#382—471no—
894#381—471no—
895#381—471no—
896#380—471no—
897#380—471no—
898#380—471no—
899#380—471no—
900C4×C4⋊C4—471no—
901C4×C4⋊C4—471no—
902C4×C4⋊C4—471no—
903C4×C4⋊C4—471no—
904C4×C4⋊C4—471no—
905C4×C4⋊C4—471no—
906C4×C4⋊C4—471no—
907C4×C4⋊C4—471no—
908C4×C4⋊C4—471no—
909C4×C4⋊C4—471no—
910C4×C4⋊C4—471no—
911C4×C4⋊C4—471no—
912C4×C4⋊C4—471no—
913C4×C4⋊C4—471no—
914C4×C4⋊C4—471no—
915C4×C4⋊C4—471no—
916C4×C4⋊C4—471no—
917C4×C4⋊C4—471no—
918C4×C4⋊C4—471no—
919C4×C4⋊C4—471no—
920C4×C4⋊C4—471no—
921C4×C4⋊C4C2×D4711yescharacteristic
922C4×C4⋊C4C2×D4711yescharacteristic
923C4×C4⋊C4C2×D4711yescharacteristic
924C4×C22⋊C4—471no—
925C4×C22⋊C4—471no—
926C4×C22⋊C4—471no—
927C4×C22⋊C4—471no—
928C4×C22⋊C4—471no—
929C4×C22⋊C4—471no—
930C4×C22⋊C4—471no—
931C4×C22⋊C4—471no—
932C4×C22⋊C4—471no—
933C4×C22⋊C4—471no—
934C4×C22⋊C4—471no—
935C4×C22⋊C4—471no—
936C4×C22⋊C4—471no—
937C4×C22⋊C4—471no—
938C4×C22⋊C4—471no—
939C4×C22⋊C4—471no—
940C4×C22⋊C4—471no—
941C4×C22⋊C4—471no—
942C4×C22⋊C4—471no—
943C4×C22⋊C4—471no—
944C4×C22⋊C4—471no—
945C4×C22⋊C4—471no—
946C4×C22⋊C4—471no—
947C4×C22⋊C4—471no—
948C4×C22⋊C4—471no—
949C4×C22⋊C4C2×D4711yescharacteristic
950C4×C22⋊C4C2×D4711yescharacteristic
951C4×C22⋊C4C2×D4711yescharacteristic
952#376—471no—
953#376—471no—
954C2×#95—471no—
955C2×#95—471no—
956C43—471no—
957C43—471no—
958C43C2×D4711yescharacteristic
959C47C4×#55311yescharacteristic, complemented, Sylow
960C22×D4—471no—
961C22×D4—471no—
962C22×D4—471no—
963C22×D4—471no—
964C22×D4—471no—
965C22×D4—471no—
966C23×C4—471no—
967C23×C4—471no—
968C23×C4—471no—
969C23×C4—471no—
970C23×C4—471no—
971C23×C4—471no—
972C23×C4—471no—
973C23×C4—471no—
974C23×C4—471no—
975C23×C4—471no—
976C23×C4—471no—
977C23×C4—471no—
978C23×C4—471no—
979C23×C4—471no—
980C23×C4—471no—
981C23×C4C22×D4711yescharacteristic
982#126—478no—
983#126C4×D4718yescomplemented
984#125—478no—
985#123—478no—
986#123—478no—
987#121—478no—
988#121—478no—
989#121—478no—
990#121—478no—
991C4×D4—478no—
992C4×D4—478no—
993C4×D4—478no—
994C4×D4—478no—
995C4×D4—944no—
996C4×D4—944no—
997C4×D4—944no—
998C4×D4—944no—
999C4×D4—944no—
1000C4×D4—944no—
1001C4×D4—944no—
1002C4×D4—944no—
1003C4×D4—1882no—
1004C4×D4—1882no—
1005#117—478no—
1006#117—944no—
1007C2×C4⋊C4—471no—
1008C2×C4⋊C4—471no—
1009C2×C4⋊C4—471no—
1010C2×C4⋊C4—471no—
1011C2×C4⋊C4—471no—
1012C2×C4⋊C4—471no—
1013C2×C4⋊C4—471no—
1014C2×C4⋊C4—471no—
1015C2×C4⋊C4—478no—
1016C2×C4⋊C4—471no—
1017C2×C4⋊C4—471no—
1018C2×C4⋊C4—471no—
1019C2×C4⋊C4—471no—
1020C2×C4⋊C4—471no—
1021C2×C4⋊C4—471no—
1022C2×C4⋊C4—471no—
1023C2×C4⋊C4—471no—
1024C2×C4⋊C4—471no—
1025C2×C4⋊C4—471no—
1026C2×C4⋊C4—471no—
1027C2×C4⋊C4—471no—
1028C2×C4⋊C4—944no—
1029C2×C4⋊C4C22×D4711yescharacteristic
1030C2×C4⋊C4C22×D4711yescharacteristic
1031C2×C4⋊C4C22×D4711yescharacteristic
1032C2×C4⋊C4C22×D4711yescharacteristic
1033C2×C4⋊C4C22×D4711yescharacteristic
1034C2×C4⋊C4C22×D4711yescharacteristic
1035C2×C22⋊C4—471no—
1036C2×C22⋊C4—471no—
1037C2×C22⋊C4—471no—
1038C2×C22⋊C4—471no—
1039C2×C22⋊C4—471no—
1040C2×C22⋊C4—471no—
1041C2×C22⋊C4—471no—
1042C2×C22⋊C4—471no—
1043C2×C22⋊C4—471no—
1044C2×C22⋊C4—471no—
1045C2×C22⋊C4—471no—
1046C2×C22⋊C4—471no—
1047C2×C22⋊C4—471no—
1048C2×C22⋊C4—471no—
1049C2×C22⋊C4—471no—
1050C2×C22⋊C4—471no—
1051C2×C22⋊C4—471no—
1052C2×C22⋊C4—471no—
1053C2×C22⋊C4—471no—
1054C2×C22⋊C4—471no—
1055C2×C22⋊C4—471no—
1056C2×C22⋊C4—471no—
1057C2×C22⋊C4—471no—
1058C2×C22⋊C4—471no—
1059C2×C22⋊C4—471no—
1060C2×C22⋊C4—471no—
1061C2×C22⋊C4C22×D4711yescharacteristic
1062C2×C22⋊C4C22×D4711yescharacteristic
1063C2×C22⋊C4C22×D4711yescharacteristic
1064C2×C22⋊C4C22×D4711yescharacteristic
1065C2×C22⋊C4C22×D4711yescharacteristic
1066C2×C22⋊C4C22×D4711yescharacteristic
1067C2×C42—471no—
1068C2×C42—471no—
1069C2×C42—471no—
1070C2×C42—471no—
1071C2×C42—471no—
1072C2×C42—471no—
1073C2×C42—471no—
1074C2×C42—471no—
1075C2×C42—471no—
1076C2×C42—471no—
1077C2×C42—471no—
1078C2×C42—471no—
1079C2×C42—471no—
1080C2×C42—471no—
1081C2×C42—471no—
1082C2×C42—471no—
1083C2×C42—471no—
1084C2×C42—471no—
1085C2×C42—471no—
1086C2×C42—471no—
1087C2×C42—471no—
1088C2×C42—471no—
1089C2×C42—471no—
1090C2×C42—471no—
1091C2×C42—471no—
1092C2×C42—944no—
1093C2×C42—944no—
1094C2×C42—1882no—
1095C2×C42—1882no—
1096C2×C42—1882no—
1097C2×C42—1882no—
1098C2×C42C22×D4711yescharacteristic
1099C2×C42C22×D4711yescharacteristic
1100C2×C42C22×D4711yescharacteristic
1101C2×C42C22×D4711yescharacteristic
1102C2×C42C22×D4711yescharacteristic
1103C2×C42C22×D4711yescharacteristic
1104C2×C42C22×D4711yescharacteristic
1105C2×C42C22×D4711yescharacteristic
1106C2×C42C22×D4711yescharacteristic
1107C2×C42C22×D4711yescharacteristic
1108#95—471no—
1109#95—471no—
1110#95—471no—
1111#95—471no—
1112#95—471no—
1113#95—471no—
1114#95—471no—
1115#95—471no—
1116#95—471no—
1117#95—471no—
1118#95—471no—
1119#95—471no—
1120#95—471no—
1121#95—471no—
1122#95—471no—
1123#95—471no—
1124#95—471no—
1125#95—471no—
1126#95—471no—
1127#95—471no—
1128#95—471no—
1129#95—471no—
1130#95—471no—
1131#95—471no—
1132#95—471no—
1133#95—471no—
1134#95—471no—
1135#95—471no—
1136#95C22×D4711yescharacteristic
1137#95C22×D4711yescharacteristic
1138#95C22×D4711yescharacteristic
1139#95C22×D4711yescharacteristic
1140#95C22×D4711yescharacteristic
1141#95C22×D4711yescharacteristic
1142#95C22×D4711yescharacteristic
1143#95C22×D4711yescharacteristic
1144#95C22×D4711yescharacteristic
1145#95C22×D4711yescharacteristic
1146#95C22×D4711yescharacteristic
1147#95C22×D4711yescharacteristic
1148C24—471no—
1149C24—471no—
1150C24—471no—
1151C24C23×D4711yescharacteristic
1152C2×D4—474no—
1153C2×D4—474no—
1154C2×D4—474no—
1155C2×D4—474no—
1156C2×D4—474no—
1157C2×D4—474no—
1158C2×D4—942no—
1159C2×D4—942no—
1160C2×D4—942no—
1161C2×D4—942no—
1162C2×D4—942no—
1163C2×D4—942no—
1164C2×D4—942no—
1165C2×D4—942no—
1166C2×D4—1881no—
1167C2×D4—1881no—
1168C2×D4—1881no—
1169C2×D4—1881no—
1170C22×C4—22no—
1171C22×C4—22no—
1172C22×C4—22no—
1173C22×C4—471no—
1174C22×C4—471no—
1175C22×C4—471no—
1176C22×C4—471no—
1177C22×C4—471no—
1178C22×C4—471no—
1179C22×C4—471no—
1180C22×C4—471no—
1181C22×C4—471no—
1182C22×C4—474no—
1183C22×C4—474no—
1184C22×C4—474no—
1185C22×C4—474no—
1186C22×C4—474no—
1187C22×C4—474no—
1188C22×C4—474no—
1189C22×C4—471no—
1190C22×C4—471no—
1191C22×C4—471no—
1192C22×C4—471no—
1193C22×C4—942no—
1194C22×C4—942no—
1195C22×C4—942no—
1196C22×C4—942no—
1197C22×C4—942no—
1198C22×C4—942no—
1199C22×C4—942no—
1200C22×C4—942no—
1201C22×C4—942no—
1202C22×C4—942no—
1203C22×C4—942no—
1204C22×C4—942no—
1205C22×C4—942no—
1206C22×C4—942no—
1207C22×C4—942no—
1208C22×C4—942no—
1209C22×C4—942no—
1210C22×C4—942no—
1211C22×C4—942no—
1212C22×C4—942no—
1213C22×C4—942no—
1214C22×C4—942no—
1215C22×C4—942no—
1216C22×C4—942no—
1217C22×C4—1881no—
1218C22×C4—1881no—
1219C22×C4—1881no—
1220C22×C4—1881no—
1221C22×C4—1881no—
1222C22×C4—1881no—
1223C22×C4—1881no—
1224C22×C4—1881no—
1225C22×C4—1881no—
1226C22×C4—1881no—
1227C22×C4—1881no—
1228C22×C4—1881no—
1229C22×C4—1881no—
1230C22×C4—1881no—
1231C22×C4C23×D4711yescharacteristic
1232C22×C4C23×D4711yescharacteristic
1233C22×C4C23×D4711yescharacteristic
1234C22×C4C23×D4711yescharacteristic
1235C22×C4C23×D4711yescharacteristic
1236C22×C4C23×D4711yescharacteristic
1237C22×C4C23×D4711yescharacteristic
1238C22×C4C23×D4711yescharacteristic
1239C22×C4C23×D4711yescharacteristic
1240C22×C4C23×D4711yescharacteristic
1241C22×C4C23×D4711yescharacteristic
1242C22×C4C23×D4711yescharacteristic
1243C22×C4C23×D4711yescharacteristic
1244C22×C4C23×D4711yescharacteristic
1245C4⋊C4—22no—
1246C4⋊C4—22no—
1247C4⋊C4—41no—
1248C4⋊C4—474no—
1249C4⋊C4—474no—
1250C4⋊C4—474no—
1251C4⋊C4—474no—
1252C4⋊C4—474no—
1253C4⋊C4—474no—
1254C4⋊C4—474no—
1255C4⋊C4—474no—
1256C4⋊C4—942no—
1257C4⋊C4—942no—
1258C4⋊C4—942no—
1259C4⋊C4—942no—
1260C4⋊C4—942no—
1261C4⋊C4—942no—
1262C4⋊C4—942no—
1263C4⋊C4—942no—
1264C4⋊C4—942no—
1265C4⋊C4—1881no—
1266C4⋊C4—1881no—
1267C4⋊C4—1881no—
1268C4⋊C4C2×C4×D4714yes—
1269C4⋊C4C2×C4×D4714yes—
1270C4⋊C4C2×C4×D4714yes—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—41no—
1274C22⋊C4—474no—
1275C22⋊C4—474no—
1276C22⋊C4—474no—
1277C22⋊C4—474no—
1278C22⋊C4—474no—
1279C22⋊C4—474no—
1280C22⋊C4—474no—
1281C22⋊C4—474no—
1282C22⋊C4—942no—
1283C22⋊C4—942no—
1284C22⋊C4—942no—
1285C22⋊C4—942no—
1286C22⋊C4—942no—
1287C22⋊C4—942no—
1288C22⋊C4—942no—
1289C22⋊C4—942no—
1290C22⋊C4—942no—
1291C22⋊C4—942no—
1292C22⋊C4—942no—
1293C22⋊C4—942no—
1294C22⋊C4—942no—
1295C22⋊C4—1881no—
1296C22⋊C4—1881no—
1297C22⋊C4—1881no—
1298C22⋊C4—1881no—
1299C22⋊C4—1881no—
1300C22⋊C4C2×C4×D4714yes—
1301C22⋊C4C2×C4×D4714yes—
1302C22⋊C4C2×C4×D4714yes—
1303C42—22no—
1304C42—22no—
1305C42—22no—
1306C42—22no—
1307C42—22no—
1308C42—22no—
1309C42—22no—
1310C42—22no—
1311C42—41no—
1312C42—474no—
1313C42—474no—
1314C42—474no—
1315C42—942no—
1316C42—942no—
1317C42—942no—
1318C42—942no—
1319C42—942no—
1320C42—942no—
1321C42—942no—
1322C42—942no—
1323C42—942no—
1324C42—942no—
1325C42—942no—
1326C42—942no—
1327C42—1881no—
1328C42—1881no—
1329C42—1881no—
1330C42—1881no—
1331C42—1881no—
1332C42—1881no—
1333C42—1881no—
1334C42—1881no—
1335C42—1881no—
1336C42—1881no—
1337C42C2×C4×D4714yes—
1338C23—21no—
1339C23—21no—
1340C23—21no—
1341C23—21no—
1342C23—21no—
1343C23—21no—
1344C23—472no—
1345C23—472no—
1346C23—472no—
1347C23—472no—
1348C23—472no—
1349C23—941no—
1350C23—941no—
1351C23—941no—
1352C23—941no—
1353C23—941no—
1354C23—941no—
1355C23—941no—
1356C23—941no—
1357C23—941no—
1358C23—941no—
1359C23—941no—
1360C23—941no—
1361C23—941no—
1362C23—941no—
1363C23—941no—
1364C23—941no—
1365C23C22×C4×D4712yes—
1366C23C24×D4711yescharacteristic
1367D4—948no—
1368D4—948no—
1369D4—948no—
1370D4—948no—
1371D4—1884no—
1372D4—1884no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—21no—
1404C2×C4—44no—
1405C2×C4—472no—
1406C2×C4—472no—
1407C2×C4—472no—
1408C2×C4—472no—
1409C2×C4—472no—
1410C2×C4—472no—
1411C2×C4—472no—
1412C2×C4—472no—
1413C2×C4—472no—
1414C2×C4—472no—
1415C2×C4—472no—
1416C2×C4—948no—
1417C2×C4—948no—
1418C2×C4—941no—
1419C2×C4—941no—
1420C2×C4—941no—
1421C2×C4—941no—
1422C2×C4—941no—
1423C2×C4—941no—
1424C2×C4—941no—
1425C2×C4—941no—
1426C2×C4—941no—
1427C2×C4—941no—
1428C2×C4—941no—
1429C2×C4—941no—
1430C2×C4—941no—
1431C2×C4—941no—
1432C2×C4—941no—
1433C2×C4—941no—
1434C2×C4—948no—
1435C2×C4—941no—
1436C2×C4—941no—
1437C2×C4—941no—
1438C2×C4—941no—
1439C2×C4—941no—
1440C2×C4—941no—
1441C2×C4—941no—
1442C2×C4—941no—
1443C2×C4—941no—
1444C2×C4—941no—
1445C2×C4—941no—
1446C2×C4—941no—
1447C2×C4—1884no—
1448C2×C4—1884no—
1449C2×C4—1884no—
1450C2×C4—1884no—
1451C2×C4—1884no—
1452C2×C4—1884no—
1453C2×C4—1884no—
1454C2×C4—1884no—
1455C2×C4—1884no—
1456C2×C4—1884no—
1457C2×C4—1884no—
1458C2×C4—1884no—
1459C2×C4C22×C4×D4712yes—
1460C2×C4C22×C4×D4712yes—
1461C2×C4C22×C4×D4712yes—
1462C2×C4C22×C4×D4712yes—
1463C2×C4C22×C4×D4712yes—
1464C2×C4C22×C4×D4712yes—
1465C2×C4#41×D4712yes—
1466C2×C4#41×D4712yes—
1467C2×C4#41×D4712yes—
1468C2×C4#41×D4712yes—
1469C2×C4#1309407012yes—
1470C22—22no—
1471C22—22no—
1472C22—22no—
1473C22—41no—
1474C22—41no—
1475C22—41no—
1476C22—41no—
1477C22—474no—
1478C22—942no—
1479C22—942no—
1480C22—942no—
1481C22—942no—
1482C22—942no—
1483C22—942no—
1484C22—942no—
1485C22—942no—
1486C22—942no—
1487C22—942no—
1488C22—942no—
1489C22—942no—
1490C22—1881no—
1491C22—1881no—
1492C22—1881no—
1493C22—1881no—
1494C22—1881no—
1495C22—1881no—
1496C22—1881no—
1497C22—1881no—
1498C22C23×C4×D4711yescharacteristic
1499C22C2×#41×D4711yescharacteristic
1500C22C2×#41×D4711yescharacteristic
1501C22C2×#41×D4711yescharacteristic
1502C22C2×#41×D4711yescharacteristic
1503C22C2×#1309407011yescharacteristic
1504C22#1568995911yescharacteristic
1505C4—22no—
1506C4—22no—
1507C4—22no—
1508C4—22no—
1509C4—22no—
1510C4—22no—
1511C4—22no—
1512C4—22no—
1513C4—41no—
1514C4—41no—
1515C4—41no—
1516C4—41no—
1517C4—41no—
1518C4—474no—
1519C4—942no—
1520C4—942no—
1521C4—942no—
1522C4—942no—
1523C4—942no—
1524C4—942no—
1525C4—942no—
1526C4—942no—
1527C4—1881no—
1528C4—1881no—
1529C4—1881no—
1530C4—1881no—
1531C4#1568982414yesdirect product factor
1532C2—42no—
1533C2—944no—
1534C2—1882no—
1535C2—1882no—
1536C2C4×#41×D4711yescharacteristic
1537C2C4×#41×D4711yescharacteristic
1538C2C4×#1309407011yescharacteristic
1539C2C2×#1568982411yescharacteristic
1540C2#2025694011yescharacteristic
1541C2#2025697911yescharacteristic
1542C2#2025699411yescharacteristic
subgroupG/H
centerC22×C4C23×D47
commutatorC22×C47C24×C4
FrattiniC23C24×D47
FittingC4×#126×C47C2
socle, cosocleC23×C47C25
prime radicalC2×#15689824C2
hypercenterC4×#126D47
hypocenterC47C4×#553
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C4×#126

Complements

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

NH ≅ G/Ntype
2. #20246520C2semidirect
3. #20246518C2semidirect
4. #20246512C2semidirect
5. #20246501C2semidirect
6. #20246481C2semidirect
7. #20246434C2semidirect
8. #20246432C2semidirect
9. #20246421C2semidirect
10. #20246401C2semidirect
11. #20246358C2semidirect
12. #20246323C2semidirect
13. #20246321C2semidirect
14. #20246312C2semidirect
15. #20246276C2semidirect
16. #20246262C2semidirect
17. C4×#13094014C2semidirect
18. C4×#13094019C2semidirect
19. C4×#13094009C2semidirect
20. C4×#13094008C2semidirect
21. C4×#13093999C2semidirect
22. C4×#13093997C2semidirect
23. C4×#13093997C2semidirect
24. C4×#13093997C2semidirect
25. C42×D188C2semidirect
26. C4×#13093986C2semidirect
27. C4×(C22⋊D47)⋊C4C2semidirect
28. C4×(C22⋊D47)⋊C4C2semidirect
29. C4×#13093981C2semidirect
30. C4×C4⋊C4×D47C2semidirect
31. C4×#126×C47C2semidirect
32. #15689824C4direct (N × H)
209. #13094019C2×C4semidirect
210. #13094014C2×C4semidirect
211. #13094009C2×C4semidirect
212. #13094008C2×C4semidirect
213. #13093999C2×C4semidirect
214. #13093997C2×C4semidirect
215. #13093997C2×C4semidirect
216. #13093997C2×C4semidirect
221. C4×D188C2×C4semidirect
223. #13093986C2×C4semidirect
229. (C22⋊D47)⋊C4C2×C4semidirect
230. (C22⋊D47)⋊C4C2×C4semidirect
232. #13093981C2×C4semidirect
254. C4⋊C4×D47C2×C4semidirect
341. #126×C47C2×C4semidirect
747. C4×C47#553semidirect
779. C4×#126D47semidirect
959. C47C4×#553semidirect
983. #126C4×D47semidirect
1531. C4#15689824direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156898242
#202465202
#202465182
#202465122
#202465012
#202464812
#202464342
#202464322
#202464212
#202464012
#202463582
#202463232
#202463212
#202463122
#202462762
#202462622
C4×#130940142
C4×#130940192
C4×#130940092
C4×#130940082
C4×#130939992
C4×#130939972
C42×D1882
C4×#130939862
C4×(C22⋊D47)⋊C42
C4×#130939812
C4×C4⋊C4×D472
C4×#126×C472
C4×#55347