Finite Group Databasebeta

← #26389193

Subgroups — #26389193

Order 12032.

2642 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689712C211yesmaximal, characteristic, complemented
2C2×#15689705C211yesmaximal, characteristic, complemented
3#20251739C211yesmaximal, characteristic, complemented
4#20251732C211yesmaximal, characteristic, complemented
5#20251669C211yesmaximal, characteristic, complemented
6#20251669C211yesmaximal, characteristic, complemented
7#20249320C211yesmaximal, characteristic, complemented
8#20249319C211yesmaximal, characteristic, complemented
9#20249127C211yesmaximal, characteristic, complemented
10#20249127C211yesmaximal, characteristic, complemented
11#20248524C211yesmaximal, characteristic, complemented
12#20248522C211yesmaximal, characteristic, complemented
13#20248511C211yesmaximal, characteristic, complemented
14#20248489C211yesmaximal, characteristic, complemented
15#20248487C211yesmaximal, characteristic, complemented
16#20248486C211yesmaximal, characteristic, complemented
17#20248484C211yesmaximal, characteristic, complemented
18#20247807C211yesmaximal, characteristic, complemented
19#20247805C211yesmaximal, characteristic, complemented
20#20247750C211yesmaximal, characteristic, complemented
21#20247744C211yesmaximal, characteristic, complemented
22#20246973C211yesmaximal, characteristic, complemented
23#20246971C211yesmaximal, characteristic, complemented
24#20246901C211yesmaximal, characteristic, complemented
25#20246895C211yesmaximal, characteristic, complemented
26#20246092C211yesmaximal, characteristic, complemented
27#20246085C211yesmaximal, characteristic, complemented
28#20245900C211yesmaximal, characteristic, complemented
29C4×#13093997C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D47C211yesmaximal, characteristic, complemented
31C47×#2559C211yesmaximal, characteristic, complemented
32C23×C4×D47C2211yescharacteristic
33#15689712—28no—
34#15689705—28no—
35C2×#13094023C2211yescharacteristic, complemented
36C2×#13094020C2211yescharacteristic, complemented
37C2×#13094019C2211yescharacteristic
38C2×#13094019C2211yescharacteristic
39C2×#13094017C2211yescharacteristic
40C2×#13094012C2211yescharacteristic
41C2×#13094011C2211yescharacteristic
42C2×#13094010C2211yescharacteristic
43C2×#13094010C2211yescharacteristic
44C2×#13094009C2211yescharacteristic
45C2×#13094007C2211yescharacteristic
46C2×#13094006C2211yescharacteristic
47C2×#13094005C2211yescharacteristic
48C2×#13094002C2211yescharacteristic
49C2×#13094002C2211yescharacteristic
50C2×#13093999C2211yescharacteristic
51C2×#13093999C2211yescharacteristic
52C2×#13093997C2211yescharacteristic
53C2×#13093997C2211yescharacteristic
54C2×#13093997C2211yescharacteristic
55C2×#13093997C2211yescharacteristic
56C2×#13093997C2211yescharacteristic
57C2×#13093997C2211yescharacteristic
58C2×#13093997C2211yescharacteristic
59C2×#13093996C2211yescharacteristic
60C2×#13093996C2211yescharacteristic
61C2×#13093996C2211yescharacteristic
62C2×#13093995C2211yescharacteristic
63C2×#13093994C2211yescharacteristic
64C2×#13093994C2211yescharacteristic
65C2×#13093992C2211yescharacteristic
66C2×#13093992C2211yescharacteristic
67C2×C4×D188C2211yescharacteristic
68C2×#13093986C2211yescharacteristic
69C2×C4×C22⋊D47C2211yescharacteristic
70C2×C4×C22⋊D47C2211yescharacteristic, complemented
71C2×(C22⋊D47)⋊C4C2211yescharacteristic
72C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
73C2×C22⋊C4×D47C2211yescharacteristic
74C2×C22⋊C4×D47C2211yescharacteristic
75C2×C42×D47C2211yescharacteristic
76C2×C42×D47C2211yescharacteristic
77#15689063C2211yescharacteristic, complemented
78#15689062C2211yescharacteristic, complemented
79#15689061C2211yescharacteristic, complemented
80#15689052C2211yescharacteristic
81#15689052C2211yescharacteristic
82#15689052C2211yescharacteristic, complemented
83#15689052C2211yescharacteristic, complemented
84#15689051C2211yescharacteristic
85#15689051C2211yescharacteristic
86#15689051C2211yescharacteristic, complemented
87#15689051C2211yescharacteristic, complemented
88#15689041C2211yescharacteristic, complemented
89#15689040C2211yescharacteristic
90#15689040C2211yescharacteristic
91#15689040C2211yescharacteristic, complemented
92#15689039C2211yescharacteristic
93#15689039C2211yescharacteristic
94#15689039C2211yescharacteristic
95#15689039C2211yescharacteristic
96#15689037C2211yescharacteristic, complemented
97#15689036C2211yescharacteristic, complemented
98#15689036C2211yescharacteristic, complemented
99#15689035C2211yescharacteristic, complemented
100#15689035C2211yescharacteristic, complemented
101#15689032C2211yescharacteristic
102#15689032C2211yescharacteristic
103#15689031C2211yescharacteristic
104#15689031C2211yescharacteristic
105#15689027C2211yescharacteristic, complemented
106#15689027C2211yescharacteristic, complemented
107#15689025C2211yescharacteristic, complemented
108#15689023C2211yescharacteristic, complemented
109#15689023C2211yescharacteristic, complemented
110#15689023C2211yescharacteristic, complemented
111#15689023C2211yescharacteristic, complemented
112#15689023C2211yescharacteristic, complemented
113#15689023C2211yescharacteristic, complemented
114#15689021C2211yescharacteristic, complemented
115#15689020C2211yescharacteristic, complemented
116#15689018C2211yescharacteristic, complemented
117#15689018C2211yescharacteristic, complemented
118#15689018C2211yescharacteristic, complemented
119#15689016C2211yescharacteristic, complemented
120#15689016C2211yescharacteristic, complemented
121#15689015C2211yescharacteristic, complemented
122#15689014C2211yescharacteristic, complemented
123#15689013C2211yescharacteristic, complemented
124#15689012C2211yescharacteristic, complemented
125#15689010C2211yescharacteristic, complemented
126#15689007C2211yescharacteristic, complemented
127#15689005C2211yescharacteristic, complemented
128#15689004C2211yescharacteristic, complemented
129#15689002C2211yescharacteristic
130#15689002C2211yescharacteristic
131#15689002C2211yescharacteristic, complemented
132#15689001C2211yescharacteristic
133#15689001C2211yescharacteristic
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic
137#15689001C2211yescharacteristic
138#15689000C2211yescharacteristic, complemented
139#15688999C2211yescharacteristic
140#15688999C2211yescharacteristic
141#15688999C2211yescharacteristic
142#15688999C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic, complemented
146#15688999C2211yescharacteristic, complemented
147#15688998C2211yescharacteristic, complemented
148#15688997C2211yescharacteristic, complemented
149#15688994C2211yescharacteristic, complemented
150#15688992C2211yescharacteristic, complemented
151#15688992C2211yescharacteristic, complemented
152#15688982C2211yescharacteristic
153#15688982C2211yescharacteristic
154#15688982C2211yescharacteristic
155#15688982C2211yescharacteristic
156#15688981C2211yescharacteristic
157#15688981C2211yescharacteristic
158#15688980C2211yescharacteristic
159#15688980C2211yescharacteristic
160C4×Dic47⋊C4C2211yescharacteristic, complemented
161#15688974C2211yescharacteristic, complemented
162C22⋊C4×Dic47C2211yescharacteristic
163C22⋊C4×Dic47C2211yescharacteristic
164C22⋊C4×Dic47C2211yescharacteristic, complemented
165C4×(C2×D47)⋊C4C2211yescharacteristic
166C4×(C2×D47)⋊C4C2211yescharacteristic
167C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
168C4×C22⋊Dic47C2211yescharacteristic
169#15688970C2211yescharacteristic
170#15688970C2211yescharacteristic
171#15688970C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic
173#95×D47C2211yescharacteristic
174C2×#126×C47C2211yescharacteristic
175C2×#121×C47C2211yescharacteristic
176C47×#400C2211yescharacteristic, complemented
177C47×#394C2211yescharacteristic
178C47×#394C2211yescharacteristic
179C47×#394C2211yescharacteristic, complemented
180C47×#390C2211yescharacteristic, complemented
181C47×#389C2211yescharacteristic, complemented
182C47×#388C2211yescharacteristic, complemented
183C47×#388C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic
186C47×#385C2211yescharacteristic, complemented
187C4×C22⋊C4×C47C2211yescharacteristic
188C4×C22⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×D188C2311yescharacteristic
193C22×D188C2311yescharacteristic
194C22×D188C2311yescharacteristic
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
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C23×Dic47C2311yescharacteristic
209C22×C4×D47—24no—
210C22×C4×D47—42no—
211C22×C4×D47—42no—
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222#13094023—42no—
223#13094020—42no—
224#13094019—24no—
225#13094019—24no—
226#13094017—24no—
227#13094012—24no—
228#13094011—24no—
229#13094010—24no—
230#13094010—24no—
231#13094009—24no—
232#13094007—24no—
233#13094006—24no—
234#13094005—24no—
235#13094002—24no—
236#13094002—24no—
237#13093999—24no—
238#13093999—24no—
239#13093997—24no—
240#13093997—24no—
241#13093997—24no—
242#13093997—24no—
243#13093997—24no—
244#13093997—42no—
245#13093997—42no—
246#13093996—24no—
247#13093996—42no—
248#13093996—42no—
249#13093995—24no—
250#13093994—24no—
251#13093994—24no—
252#13093992—24no—
253#13093992—24no—
254C4×D188—24no—
255#13093986—24no—
256C4×C22⋊D47—24no—
257C4×C22⋊D47—42no—
258(C22⋊D47)⋊C4—24no—
259(C22⋊D47)⋊C4—42no—
260C2×C4⋊Dic47C2311yescharacteristic
261C2×C4⋊Dic47C2311yescharacteristic
262C2×C4⋊Dic47C2311yescharacteristic
263C2×C4⋊Dic47C2311yescharacteristic
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×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×Dic47⋊C4C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
284C2×C22⋊Dic47C2311yescharacteristic
285C2×C22⋊Dic47C2311yescharacteristic
286C2×C22⋊Dic47C2311yescharacteristic
287C2×C22⋊Dic47C2311yescharacteristic
288C2×C22⋊Dic47C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C2×(C2×D47)⋊C4C2311yescharacteristic
317C22⋊C4×D47—24no—
318C22⋊C4×D47D418yescomplemented
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
324C2×C4×Dic47C2311yescharacteristic
325C2×C4×Dic47C2311yescharacteristic
326C2×C4×Dic47C2311yescharacteristic
327C2×C4×Dic47C2311yescharacteristic
328C42×D47—42no—
329C42×D47—42no—
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
353C47⋊#95C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C22×D4×C47C2311yescharacteristic
357C23×C4×C47C2311yescharacteristic
358C23×C4×C47C2311yescharacteristic
359#126×C47—24no—
360#121×C47—24no—
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C4⋊C4×C47C2311yescharacteristic
364C2×C4⋊C4×C47C2311yescharacteristic
365C2×C4⋊C4×C47C2311yescharacteristic
366C2×C4⋊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×C22⋊C4×C47C2311yescharacteristic
374C2×C22⋊C4×C47C2311yescharacteristic
375C2×C22⋊C4×C47C2311yescharacteristic
376C2×C22⋊C4×C47C2311yescharacteristic
377C2×C22⋊C4×C47C2311yescharacteristic
378C2×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C42×C47C2311yescharacteristic
381C2×C42×C47C2311yescharacteristic
382C2×C42×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385#95×C47C2311yescharacteristic
386#95×C47C2311yescharacteristic
387#95×C47C2311yescharacteristic
388#95×C47C2311yescharacteristic
389#95×C47C2311yescharacteristic
390#95×C47C2311yescharacteristic
391C24×C47C2411yescharacteristic
392C24×C47C2411yescharacteristic
393C24×C47C2411yescharacteristic
394C23×D47—22no—
395C23×D47—22no—
396C23×D47—41no—
397C23×D47—41no—
398C23×D47—41no—
399C23×D47—41no—
400C23×D47C2×D414yes—
401C23×D47C2411yescharacteristic
402C23×D47C2411yescharacteristic
403C23×D47C2411yescharacteristic
404C23×D47C2411yescharacteristic
405C2×D4×C47—22no—
406C2×D4×C47—22no—
407C2×D4×C47—22no—
408C2×D4×C47—41no—
409C2×D4×C47—41no—
410C2×D4×C47—41no—
411C2×D4×C47—41no—
412C2×D4×C47—41no—
413C2×D4×C47—41no—
414C22×C4×C47—22no—
415C22×C4×C47—22no—
416C22×C4×C47—41no—
417C22×C4×C47—41no—
418C22×C4×C47—41no—
419C22×C4×C47—41no—
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—22no—
446C2×C22⋊D47—22no—
447C2×C22⋊D47—22no—
448C2×C22⋊D47—22no—
449C2×C22⋊D47—22no—
450C2×C22⋊D47—41no—
451C2×C22⋊D47—41no—
452C2×C22⋊D47—41no—
453C2×C22⋊D47—41no—
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⋊D47—41no—
461C2×C22⋊D47—41no—
462C22×Dic47—22no—
463C22×Dic47—22no—
464C22×Dic47—22no—
465C22×Dic47—22no—
466C22×Dic47—41no—
467C22×Dic47—41no—
468C22×Dic47C2411yescharacteristic
469C22×Dic47C2411yescharacteristic
470C22×Dic47C2411yescharacteristic
471C22×Dic47C2411yescharacteristic
472C22×Dic47C2411yescharacteristic
473C22×Dic47C2411yescharacteristic
474C22×Dic47C2411yescharacteristic
475C22×Dic47C2411yescharacteristic
476C22×Dic47C2411yescharacteristic
477C22×Dic47C2411yescharacteristic
478C22×Dic47C2411yescharacteristic
479C22×Dic47C2411yescharacteristic
480C2×D188—22no—
481C2×D188—22no—
482C2×D188—22no—
483C2×D188—22no—
484C2×D188—22no—
485C2×D188—22no—
486C2×D188—22no—
487C2×D188—22no—
488C2×D188—22no—
489C2×D188—41no—
490C2×D188—41no—
491C2×D188—41no—
492C2×D188—41no—
493C2×D188—41no—
494C2×D188—41no—
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—416no—
506C2×C4×D47—41no—
507C2×C4×D47—41no—
508C2×C4×D47—41no—
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×D47—41no—
517C2×C4×D47—41no—
518C2×C4×D47—41no—
519C2×C4×D47—41no—
520C2×C4×D47—41no—
521C2×C4×D47—41no—
522C2×C4×D47C2×D414yes—
523C2×C4×D47C2×D414yes—
524C2×C4×D47#4114yes—
525C2×C4×D47#4114yes—
526C2×Dic94—22no—
527C2×Dic94—22no—
528C2×Dic94—41no—
529C2×Dic94—41no—
530C2×Dic94—41no—
531C2×Dic94—41no—
532C4⋊C4×C47—22no—
533C4⋊C4×C47—22no—
534C4⋊C4×C47—22no—
535C4⋊C4×C47—22no—
536C4⋊C4×C47—41no—
537C4⋊C4×C47—41no—
538C22⋊C4×C47—22no—
539C22⋊C4×C47—22no—
540C22⋊C4×C47—22no—
541C22⋊C4×C47—22no—
542C22⋊C4×C47—22no—
543C22⋊C4×C47—22no—
544C22⋊C4×C47—22no—
545C22⋊C4×C47—22no—
546C22⋊C4×C47—41no—
547C22⋊C4×C47—41no—
548C22⋊C4×C47—41no—
549C22⋊C4×C47—41no—
550C22⋊C4×C47C2×D414yes—
551C42×C47—22no—
552C42×C47—41no—
553C42×C47—41no—
554C22⋊Dic47—22no—
555C22⋊Dic47—22no—
556C22⋊Dic47—22no—
557C22⋊Dic47—22no—
558C22⋊Dic47—22no—
559C22⋊Dic47—22no—
560C22⋊Dic47—41no—
561C22⋊Dic47—41no—
562C22⋊Dic47—41no—
563C22⋊Dic47—41no—
564C22⋊Dic47C2×D414yes—
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—22no—
576(C2×D47)⋊C4—22no—
577(C2×D47)⋊C4—22no—
578(C2×D47)⋊C4—22no—
579(C2×D47)⋊C4—22no—
580(C2×D47)⋊C4—22no—
581(C2×D47)⋊C4—22no—
582(C2×D47)⋊C4—22no—
583(C2×D47)⋊C4—41no—
584(C2×D47)⋊C4—41no—
585(C2×D47)⋊C4—41no—
586(C2×D47)⋊C4—41no—
587(C2×D47)⋊C4—41no—
588(C2×D47)⋊C4—41no—
589(C2×D47)⋊C4—41no—
590(C2×D47)⋊C4—41no—
591(C2×D47)⋊C4C2×D414yes—
592(C2×D47)⋊C4C2×D414yes—
593C4⋊Dic47—22no—
594C4⋊Dic47—22no—
595C4⋊Dic47—41no—
596C4⋊Dic47—41no—
597Dic47⋊C4—22no—
598Dic47⋊C4—22no—
599Dic47⋊C4—22no—
600Dic47⋊C4—22no—
601Dic47⋊C4—22no—
602Dic47⋊C4—22no—
603Dic47⋊C4—22no—
604Dic47⋊C4—22no—
605Dic47⋊C4—22no—
606Dic47⋊C4—22no—
607Dic47⋊C4—22no—
608Dic47⋊C4—22no—
609Dic47⋊C4—22no—
610Dic47⋊C4—22no—
611C4×Dic47—22no—
612C4×Dic47—22no—
613C4×Dic47—22no—
614C4×Dic47—22no—
615C4×Dic47—22no—
616C4×Dic47—22no—
617C4×Dic47—22no—
618C4×Dic47—41no—
619C4×Dic47—41no—
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×C47—21no—
630C23×C47—21no—
631C23×C47—21no—
632C23×C47—21no—
633C23×C47—21no—
634C23×C47—21no—
635C23×C47—21no—
636C23×C47—21no—
637C23×C47—21no—
638C23×C47—21no—
639C23×C47—21no—
640C23×C47C22×D412yes—
641C23×C47C2511yescharacteristic
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—28no—
653C22×D47—21no—
654C22×D47—21no—
655C22×D47—21no—
656C22×D47—21no—
657C22×D47—21no—
658C22×D47—21no—
659C22×D47—21no—
660C22×D47—21no—
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—44no—
668C22×D47—44no—
669C22×D47—44no—
670C22×D47—44no—
671C22×D47—44no—
672C22×D47—44no—
673C22×D47C22×D412yes—
674C22×D47C22×D412yes—
675C22×D47C2×#4112yes—
676C22×D47C2×#4112yes—
677D4×C47—82no—
678D4×C47—82no—
679D4×C47—82no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—21no—
687C2×C4×C47—21no—
688C2×C4×C47—21no—
689C2×C4×C47—21no—
690C2×C4×C47—21no—
691C2×C4×C47—21no—
692C2×C4×C47—21no—
693C2×C4×C47—21no—
694C2×C4×C47—21no—
695C2×C4×C47—21no—
696C2×C4×C47—21no—
697C2×C4×C47—21no—
698C2×C4×C47—21no—
699C2×C4×C47—21no—
700C2×C4×C47—21no—
701C2×C4×C47—21no—
702C2×C4×C47—21no—
703C2×C4×C47—21no—
704C2×C4×C47—21no—
705C2×C4×C47—21no—
706C2×C4×C47—21no—
707C2×C4×C47—21no—
708C2×C4×C47—21no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—44no—
713C2×C4×C47—82no—
714C2×C4×C47C22×D412yes—
715C2×C4×C47C22×D412yes—
716C2×C4×C47C2×#4112yes—
717C2×C4×C47C2×#4112yes—
718C22⋊D47—44no—
719C22⋊D47—44no—
720C22⋊D47—44no—
721C22⋊D47—44no—
722C22⋊D47—82no—
723C22⋊D47—82no—
724C22⋊D47—82no—
725C22⋊D47—82no—
726C22⋊D47—82no—
727C22⋊D47—82no—
728C2×Dic47—21no—
729C2×Dic47—21no—
730C2×Dic47—21no—
731C2×Dic47—21no—
732C2×Dic47—21no—
733C2×Dic47—21no—
734C2×Dic47—21no—
735C2×Dic47—21no—
736C2×Dic47—21no—
737C2×Dic47—21no—
738C2×Dic47—21no—
739C2×Dic47—21no—
740C2×Dic47—21no—
741C2×Dic47—21no—
742C2×Dic47—21no—
743C2×Dic47—21no—
744C2×Dic47—21no—
745C2×Dic47—21no—
746C2×Dic47—21no—
747C2×Dic47—21no—
748C2×Dic47—21no—
749C2×Dic47—21no—
750C2×Dic47—21no—
751C2×Dic47—21no—
752C2×Dic47—21no—
753C2×Dic47—21no—
754C2×Dic47—21no—
755C2×Dic47—21no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—44no—
759C2×Dic47—82no—
760C2×Dic47C22×D412yes—
761C2×Dic47C22×D412yes—
762C2×Dic47C2×#4112yes—
763C2×Dic47C2×#4112yes—
764C2×Dic47H(5,𝔽2)12yes—
765C2×Dic47H(5,𝔽2)12yes—
766D188—44no—
767D188—44no—
768D188—82no—
769D188—82no—
770D188—82no—
771C4×D47—28no—
772C4×D47—44no—
773C4×D47—44no—
774C4×D47—44no—
775C4×D47—44no—
776C4×D47—44no—
777C4×D47—44no—
778C4×D47—44no—
779C4×D47—82no—
780C4×D47—82no—
781Dic94—82no—
782Dic94—82no—
783#35005—471nomaximal, Sylow
784C22×C47—22no—
785C22×C47—22no—
786C22×C47—22no—
787C22×C47—41no—
788C22×C47—41no—
789C22×C47—41no—
790C22×C47—41no—
791C22×C47—41no—
792C22×C47—41no—
793C22×C47—41no—
794C22×C47—41no—
795C22×C47—41no—
796C22×C47—41no—
797C22×C47—41no—
798C22×C47—41no—
799C22×C47—41no—
800C22×C47—41no—
801C22×C47—41no—
802C22×C47—41no—
803C22×C47—41no—
804C22×C47—41no—
805C22×C47C23×D411yescharacteristic
806C22×C47C22×#4111yescharacteristic
807C22×C47C22×#4111yescharacteristic
808C22×C47C2×H(5,𝔽2)11yescharacteristic
809C22×C47C2×H(5,𝔽2)11yescharacteristic
810C22×C47#58511yescharacteristic
811C22×C47#58511yescharacteristic
812C2×D47—22no—
813C2×D47—22no—
814C2×D47—22no—
815C2×D47—22no—
816C2×D47—22no—
817C2×D47—22no—
818C2×D47—22no—
819C2×D47—22no—
820C2×D47—22no—
821C2×D47—416no—
822C2×D47—41no—
823C2×D47—41no—
824C2×D47—41no—
825C2×D47—41no—
826C2×D47—41no—
827C2×D47—41no—
828C2×D47—41no—
829C2×D47—41no—
830C2×D47—41no—
831C2×D47—41no—
832C2×D47—41no—
833C2×D47—41no—
834C2×D47—41no—
835C2×D47—41no—
836C2×D47—41no—
837C2×D47—41no—
838C2×D47—41no—
839C2×D47—41no—
840C2×D47#53214yes—
841C4×C47—22no—
842C4×C47—22no—
843C4×C47—22no—
844C4×C47—22no—
845C4×C47—41no—
846C4×C47—41no—
847C4×C47—41no—
848C4×C47—41no—
849C4×C47—41no—
850C4×C47—41no—
851C4×C47—41no—
852C4×C47—41no—
853Dic47—22no—
854Dic47—22no—
855Dic47—22no—
856Dic47—41no—
857Dic47—41no—
858Dic47—41no—
859Dic47—41no—
860Dic47—41no—
861Dic47—41no—
862Dic47—41no—
863Dic47—41no—
864Dic47#53814yescomplemented
865C2×#538—471no—
866C2×#538—471no—
867#2857—471no—
868#2856—471no—
869#2847—471no—
870#2847—471no—
871#2639—471no—
872#2639—471no—
873#2617—471no—
874#2617—471no—
875#2559—471no—
876#2559—471no—
877#2559—471no—
878#2559D4711yescharacteristic, complemented
879#2557—471no—
880#2557—471no—
881#2557—471no—
882#2557—471no—
883#2496—471no—
884#2496—471no—
885#2491—471no—
886#2491—471no—
887#2428—471no—
888#2428—471no—
889#2422—471no—
890#2422—471no—
891#2325—471no—
892#2325—471no—
893C4×#121—471no—
894C4×#121—471no—
895C2×C4×C22⋊C4—471no—
896C2×C47—42no—
897C2×C47—81no—
898C2×C47—81no—
899C2×C47C2×#53211yescharacteristic
900C2×C47C2×#53811yescharacteristic
901C2×C47#345511yescharacteristic
902C2×C47#349611yescharacteristic
903C2×C47#349611yescharacteristic
904C2×C47#350511yescharacteristic
905C2×C47#350611yescharacteristic
906D47—24no—
907D47—42no—
908D47—81no—
909D47—81no—
910C24×C4—471no—
911#538—948no—
912#538—948no—
913C2×C4⋊Q8—471no—
914C2×#127—471no—
915C2×#126—471no—
916C2×#126—471no—
917C2×#126—471no—
918C2×#126C2×D4711yescharacteristic
919C2×#124—471no—
920C2×#124—471no—
921C2×#124—471no—
922C2×#124—471no—
923C2×#123—471no—
924C2×#123—471no—
925C2×#123—471no—
926C2×#123—471no—
927C2×C22⋊Q8—471no—
928C2×C22⋊Q8—471no—
929C2×#121—471no—
930C2×#121—471no—
931C2×#121—471no—
932C2×#121—471no—
933C2×#121—471no—
934C2×#121—471no—
935C2×#121—471no—
936C2×#121—471no—
937C2×#121—471no—
938C2×#121—471no—
939C2×#121—471no—
940C2×#121—471no—
941C2×#121—471no—
942C2×#121C2×D4711yescharacteristic
943C2×#120—471no—
944C2×#120—471no—
945C2×#120—471no—
946C2×#120—471no—
947C2×C4×D4—471no—
948C2×C4×D4—471no—
949C2×C4×D4—471no—
950C2×C4×D4—471no—
951C2×C4×D4—471no—
952C2×C4×D4—471no—
953C22×C22⋊C4—471no—
954C22×C22⋊C4—471no—
955C22×C42—471no—
956C22×C42—471no—
957#400—471no—
958#400—471no—
959#400—471no—
960#400C2×D4711yescharacteristic, complemented
961#397—471no—
962#397—471no—
963#397—471no—
964#397—471no—
965#397—471no—
966#397—471no—
967#397—471no—
968#397—471no—
969#394—471no—
970#394—471no—
971#394—471no—
972#394—471no—
973#394—471no—
974#394—471no—
975#394—471no—
976#394—471no—
977#394—471no—
978#394C2×D4711yescharacteristic
979#394C2×D4711yescharacteristic
980#394C2×D4711yescharacteristic, complemented
981#393—471no—
982#393—471no—
983#393—471no—
984#393—471no—
985#392—471no—
986#392—471no—
987#392—471no—
988#392—471no—
989#391—471no—
990#391—471no—
991#390—471no—
992#390—471no—
993#390—471no—
994#390—471no—
995#390—471no—
996#390—471no—
997#390—471no—
998#390C2×D4711yescharacteristic, complemented
999#389—471no—
1000#389—471no—
1001#389—471no—
1002#389—471no—
1003#389—471no—
1004#389C2×D4711yescharacteristic, complemented
1005#388—471no—
1006#388—471no—
1007#388—471no—
1008#388—471no—
1009#388—471no—
1010#388—471no—
1011#388C2×D4711yescharacteristic, complemented
1012#388C2×D4711yescharacteristic, complemented
1013#387—471no—
1014#387—471no—
1015#387—471no—
1016#387—471no—
1017#386—471no—
1018#386—471no—
1019#386—471no—
1020#386—471no—
1021#386—471no—
1022#386—471no—
1023#386—471no—
1024#386—471no—
1025#386—471no—
1026#386—471no—
1027#386—471no—
1028#386—471no—
1029#386—471no—
1030#386—471no—
1031#386—471no—
1032#386—471no—
1033#386—471no—
1034#386—471no—
1035#386C2×D4711yescharacteristic
1036#386C2×D4711yescharacteristic
1037#385—471no—
1038#385—471no—
1039#385—471no—
1040#385C2×D4711yescharacteristic, complemented
1041#384—471no—
1042#384—471no—
1043#380—471no—
1044#380—471no—
1045#380—471no—
1046#380—471no—
1047#380—471no—
1048#380—471no—
1049#380—471no—
1050#380—471no—
1051C4×C4⋊C4—471no—
1052C4×C4⋊C4—471no—
1053C4×C22⋊C4—471no—
1054C4×C22⋊C4—471no—
1055C4×C22⋊C4—471no—
1056C4×C22⋊C4—471no—
1057C4×C22⋊C4—471no—
1058C4×C22⋊C4—471no—
1059C4×C22⋊C4—471no—
1060C4×C22⋊C4—471no—
1061C4×C22⋊C4—471no—
1062C4×C22⋊C4—471no—
1063C4×C22⋊C4C2×D4711yescharacteristic
1064C4×C22⋊C4C2×D4711yescharacteristic, complemented
1065C2×#95—471no—
1066C2×#95—471no—
1067C47#3500511yescharacteristic, complemented, Sylow
1068C25—471no—
1069C22×Q8—471no—
1070C22×Q8—471no—
1071C22×D4—471no—
1072C22×D4—471no—
1073C22×D4—471no—
1074C22×D4—471no—
1075C22×D4—471no—
1076C22×D4—471no—
1077C22×D4—471no—
1078C22×D4—471no—
1079C22×D4—471no—
1080C22×D4—471no—
1081C22×D4—471no—
1082C22×D4—471no—
1083C22×D4—471no—
1084C22×D4—471no—
1085C22×D4—471no—
1086C22×D4C22×D4711yescharacteristic
1087C22×D4C22×D4711yescharacteristic
1088C22×D4C22×D4711yescharacteristic
1089C23×C4—471no—
1090C23×C4—471no—
1091C23×C4—471no—
1092C23×C4—471no—
1093C23×C4—471no—
1094C23×C4—471no—
1095C23×C4—471no—
1096C23×C4—471no—
1097C23×C4—471no—
1098C23×C4—471no—
1099C23×C4—471no—
1100C23×C4—471no—
1101C23×C4—944no—
1102C23×C4—1882no—
1103C23×C4—1882no—
1104C23×C4C22×D4711yescharacteristic
1105C23×C4C22×D4711yescharacteristic
1106C4⋊Q8—1882no—
1107#127—1882no—
1108#126—24no—
1109#126—944no—
1110#126—944no—
1111#126—944no—
1112#124—944no—
1113#124—944no—
1114#124—944no—
1115#124—944no—
1116#123—944no—
1117#123—944no—
1118#123—944no—
1119#123—944no—
1120C22⋊Q8—944no—
1121C22⋊Q8—944no—
1122#121—24no—
1123#121—944no—
1124#121—944no—
1125#121—944no—
1126#121—944no—
1127#121—944no—
1128#121—944no—
1129#121—944no—
1130#121—944no—
1131#121—944no—
1132#121—1882no—
1133#121—1882no—
1134#121—1882no—
1135#121—1882no—
1136#120—944no—
1137#120—944no—
1138#120—944no—
1139#120—944no—
1140C4×D4—944no—
1141C4×D4—944no—
1142C4×D4—944no—
1143C4×D4—944no—
1144C4×D4—1882no—
1145C4×D4—1882no—
1146C2×C4⋊C4—471no—
1147C2×C4⋊C4—471no—
1148C2×C4⋊C4—471no—
1149C2×C4⋊C4—471no—
1150C2×C4⋊C4—471no—
1151C2×C4⋊C4—471no—
1152C2×C4⋊C4—471no—
1153C2×C4⋊C4—471no—
1154C2×C4⋊C4—471no—
1155C2×C4⋊C4—471no—
1156C2×C4⋊C4—471no—
1157C2×C4⋊C4—471no—
1158C2×C4⋊C4—471no—
1159C2×C4⋊C4—471no—
1160C2×C4⋊C4—471no—
1161C2×C4⋊C4—471no—
1162C2×C4⋊C4—471no—
1163C2×C4⋊C4—471no—
1164C2×C4⋊C4C22×D4711yescharacteristic
1165C2×C4⋊C4C22×D4711yescharacteristic
1166C2×C4⋊C4C22×D4711yescharacteristic
1167C2×C4⋊C4C22×D4711yescharacteristic
1168C2×C4⋊C4C22×D4711yescharacteristic
1169C2×C4⋊C4C22×D4711yescharacteristic
1170C2×C22⋊C4—471no—
1171C2×C22⋊C4—471no—
1172C2×C22⋊C4—471no—
1173C2×C22⋊C4—478no—
1174C2×C22⋊C4—471no—
1175C2×C22⋊C4—471no—
1176C2×C22⋊C4—471no—
1177C2×C22⋊C4—471no—
1178C2×C22⋊C4—471no—
1179C2×C22⋊C4—471no—
1180C2×C22⋊C4—471no—
1181C2×C22⋊C4—471no—
1182C2×C22⋊C4—471no—
1183C2×C22⋊C4—471no—
1184C2×C22⋊C4—471no—
1185C2×C22⋊C4—471no—
1186C2×C22⋊C4—471no—
1187C2×C22⋊C4—471no—
1188C2×C22⋊C4—471no—
1189C2×C22⋊C4—471no—
1190C2×C22⋊C4—471no—
1191C2×C22⋊C4—471no—
1192C2×C22⋊C4—471no—
1193C2×C22⋊C4—471no—
1194C2×C22⋊C4—471no—
1195C2×C22⋊C4—471no—
1196C2×C22⋊C4—471no—
1197C2×C22⋊C4—471no—
1198C2×C22⋊C4—471no—
1199C2×C22⋊C4—471no—
1200C2×C22⋊C4—471no—
1201C2×C22⋊C4—471no—
1202C2×C22⋊C4—471no—
1203C2×C22⋊C4—471no—
1204C2×C22⋊C4—471no—
1205C2×C22⋊C4—471no—
1206C2×C22⋊C4—471no—
1207C2×C22⋊C4—471no—
1208C2×C22⋊C4—471no—
1209C2×C22⋊C4—471no—
1210C2×C22⋊C4—944no—
1211C2×C22⋊C4C22×D4711yescharacteristic
1212C2×C22⋊C4C22×D4711yescharacteristic
1213C2×C22⋊C4C22×D4711yescharacteristic
1214C2×C22⋊C4C22×D4711yescharacteristic
1215C2×C22⋊C4C22×D4711yescharacteristic
1216C2×C22⋊C4C22×D4711yescharacteristic
1217C2×C22⋊C4C22×D4711yescharacteristic
1218C2×C22⋊C4C22×D4711yescharacteristic
1219C2×C22⋊C4C22×D4711yescharacteristic
1220C2×C22⋊C4C22×D4711yescharacteristic
1221C2×C22⋊C4C22×D4711yescharacteristic
1222C2×C22⋊C4C22×D4711yescharacteristic
1223C2×C22⋊C4C22×D4711yescharacteristic
1224C2×C42—471no—
1225C2×C42—471no—
1226C2×C42—471no—
1227C2×C42—471no—
1228C2×C42—471no—
1229C2×C42—471no—
1230C2×C42—471no—
1231C2×C42—471no—
1232C2×C42—471no—
1233C2×C42—1882no—
1234C2×C42—1882no—
1235C2×C42C22×D4711yescharacteristic
1236C2×C42C22×D4711yescharacteristic
1237C2×C42C22×D4711yescharacteristic
1238#95—471no—
1239#95—471no—
1240#95—471no—
1241#95—471no—
1242#95—471no—
1243#95—471no—
1244#95—471no—
1245#95—471no—
1246#95—471no—
1247#95—471no—
1248#95—471no—
1249#95—471no—
1250#95—471no—
1251#95—471no—
1252#95—471no—
1253#95—471no—
1254#95—471no—
1255#95—471no—
1256#95—471no—
1257#95—471no—
1258#95—471no—
1259#95—471no—
1260#95—471no—
1261#95—471no—
1262#95C22×D4711yescharacteristic
1263#95C22×D4711yescharacteristic
1264#95C22×D4711yescharacteristic
1265#95C22×D4711yescharacteristic
1266#95C22×D4711yescharacteristic
1267#95C22×D4711yescharacteristic
1268#95C22×D4711yescharacteristic
1269#95C22×D4711yescharacteristic
1270C24—471no—
1271C24—471no—
1272C24—474no—
1273C24—471no—
1274C24—471no—
1275C24—942no—
1276C24—942no—
1277C24—1881no—
1278C24—1881no—
1279C24—1881no—
1280C24—1881no—
1281C24C23×D4711yescharacteristic
1282C24C23×D4711yescharacteristic
1283C24C23×D4711yescharacteristic
1284C2×Q8—942no—
1285C2×Q8—942no—
1286C2×Q8—1881no—
1287C2×Q8—1881no—
1288C2×Q8—1881no—
1289C2×Q8—1881no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—41no—
1299C2×D4—942no—
1300C2×D4—942no—
1301C2×D4—942no—
1302C2×D4—942no—
1303C2×D4—942no—
1304C2×D4—942no—
1305C2×D4—942no—
1306C2×D4—942no—
1307C2×D4—942no—
1308C2×D4—942no—
1309C2×D4—942no—
1310C2×D4—942no—
1311C2×D4—942no—
1312C2×D4—942no—
1313C2×D4—942no—
1314C2×D4—942no—
1315C2×D4—942no—
1316C2×D4—942no—
1317C2×D4—942no—
1318C2×D4—942no—
1319C2×D4—942no—
1320C2×D4—942no—
1321C2×D4—942no—
1322C2×D4—942no—
1323C2×D4—942no—
1324C2×D4—942no—
1325C2×D4—942no—
1326C2×D4—1881no—
1327C2×D4—1881no—
1328C2×D4—1881no—
1329C2×D4—1881no—
1330C2×D4—1881no—
1331C2×D4—1881no—
1332C2×D4—1881no—
1333C2×D4—1881no—
1334C2×D4—1881no—
1335C2×D4—1881no—
1336C2×D4—1881no—
1337C2×D4—1881no—
1338C2×D4—1881no—
1339C2×D4—1881no—
1340C2×D4—1881no—
1341C2×D4—1881no—
1342C2×D4—1881no—
1343C2×D4—1881no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—471no—
1351C22×C4—471no—
1352C22×C4—471no—
1353C22×C4—471no—
1354C22×C4—474no—
1355C22×C4—474no—
1356C22×C4—474no—
1357C22×C4—474no—
1358C22×C4—471no—
1359C22×C4—471no—
1360C22×C4—471no—
1361C22×C4—471no—
1362C22×C4—471no—
1363C22×C4—471no—
1364C22×C4—471no—
1365C22×C4—471no—
1366C22×C4—942no—
1367C22×C4—942no—
1368C22×C4—942no—
1369C22×C4—942no—
1370C22×C4—942no—
1371C22×C4—942no—
1372C22×C4—942no—
1373C22×C4—942no—
1374C22×C4—942no—
1375C22×C4—942no—
1376C22×C4—942no—
1377C22×C4—942no—
1378C22×C4—942no—
1379C22×C4—942no—
1380C22×C4—1881no—
1381C22×C4—1881no—
1382C22×C4—1881no—
1383C22×C4—1881no—
1384C22×C4—1881no—
1385C22×C4—1881no—
1386C22×C4—1881no—
1387C22×C4—1881no—
1388C22×C4—1881no—
1389C22×C4—1881no—
1390C22×C4—1881no—
1391C22×C4—1881no—
1392C22×C4—1881no—
1393C22×C4—1881no—
1394C22×C4—1881no—
1395C22×C4—1881no—
1396C22×C4—18816no—
1397C22×C4—1881no—
1398C22×C4—1881no—
1399C22×C4C23×D4711yescharacteristic
1400C22×C4C23×D4711yescharacteristic
1401C22×C4C23×D4711yescharacteristic
1402C22×C4C23×D4711yescharacteristic
1403C22×C4C23×D4711yescharacteristic
1404C22×C4C23×D4711yescharacteristic
1405C22×C4C23×D4711yescharacteristic
1406C22×C4C23×D4711yescharacteristic
1407C22×C4C23×D4711yescharacteristic
1408C22×C4C23×D4711yescharacteristic
1409C22×C4C23×D4711yescharacteristic
1410C22×C4C23×D4711yescharacteristic
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—942no—
1418C4⋊C4—942no—
1419C4⋊C4—942no—
1420C4⋊C4—942no—
1421C4⋊C4—942no—
1422C4⋊C4—942no—
1423C4⋊C4—942no—
1424C4⋊C4—942no—
1425C4⋊C4—942no—
1426C4⋊C4—942no—
1427C4⋊C4—942no—
1428C4⋊C4—942no—
1429C4⋊C4—942no—
1430C4⋊C4—942no—
1431C4⋊C4—942no—
1432C4⋊C4—942no—
1433C4⋊C4—1881no—
1434C4⋊C4—1881no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—22no—
1438C22⋊C4—22no—
1439C22⋊C4—22no—
1440C22⋊C4—22no—
1441C22⋊C4—22no—
1442C22⋊C4—22no—
1443C22⋊C4—41no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—41no—
1447C22⋊C4—474no—
1448C22⋊C4—474no—
1449C22⋊C4—474no—
1450C22⋊C4—942no—
1451C22⋊C4—942no—
1452C22⋊C4—942no—
1453C22⋊C4—942no—
1454C22⋊C4—942no—
1455C22⋊C4—942no—
1456C22⋊C4—942no—
1457C22⋊C4—942no—
1458C22⋊C4—942no—
1459C22⋊C4—942no—
1460C22⋊C4—942no—
1461C22⋊C4—942no—
1462C22⋊C4—942no—
1463C22⋊C4—942no—
1464C22⋊C4—942no—
1465C22⋊C4—942no—
1466C22⋊C4—942no—
1467C22⋊C4—942no—
1468C22⋊C4—942no—
1469C22⋊C4—942no—
1470C22⋊C4—942no—
1471C22⋊C4—942no—
1472C22⋊C4—942no—
1473C22⋊C4—942no—
1474C22⋊C4—1881no—
1475C22⋊C4—1881no—
1476C22⋊C4—1881no—
1477C22⋊C4—1881no—
1478C22⋊C4—1881no—
1479C22⋊C4—1881no—
1480C22⋊C4—1881no—
1481C22⋊C4—1881no—
1482C22⋊C4—1881no—
1483C22⋊C4—1881no—
1484C22⋊C4—1881no—
1485C22⋊C4—1881no—
1486C22⋊C4D4×D4714yes—
1487C42—22no—
1488C42—41no—
1489C42—41no—
1490C42—942no—
1491C42—942no—
1492C42—942no—
1493C42—942no—
1494C42—942no—
1495C42—942no—
1496C42—942no—
1497C42—1881no—
1498C42—1881no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—472no—
1520C23—472no—
1521C23—472no—
1522C23—472no—
1523C23—948no—
1524C23—941no—
1525C23—941no—
1526C23—941no—
1527C23—941no—
1528C23—941no—
1529C23—941no—
1530C23—941no—
1531C23—941no—
1532C23—941no—
1533C23—941no—
1534C23—941no—
1535C23—941no—
1536C23—941no—
1537C23—941no—
1538C23—941no—
1539C23—941no—
1540C23—941no—
1541C23—941no—
1542C23—941no—
1543C23—941no—
1544C23—941no—
1545C23—941no—
1546C23—941no—
1547C23—941no—
1548C23—1884no—
1549C23—1884no—
1550C23—1884no—
1551C23—1884no—
1552C23—1884no—
1553C23—1884no—
1554C23C2×D4×D4712yes—
1555C23C24×D4711yescharacteristic
1556Q8—3762no—
1557Q8—3762no—
1558D4—82no—
1559D4—82no—
1560D4—82no—
1561D4—3762no—
1562D4—3762no—
1563D4—3762no—
1564D4—3762no—
1565D4—3762no—
1566D4—3762no—
1567D4—3762no—
1568D4—3762no—
1569D4—3762no—
1570D4—1884no—
1571D4—1884no—
1572D4—1884no—
1573D4—1884no—
1574D4—1884no—
1575D4—1884no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—44no—
1609C2×C4—82no—
1610C2×C4—472no—
1611C2×C4—472no—
1612C2×C4—472no—
1613C2×C4—472no—
1614C2×C4—472no—
1615C2×C4—472no—
1616C2×C4—948no—
1617C2×C4—941no—
1618C2×C4—941no—
1619C2×C4—941no—
1620C2×C4—941no—
1621C2×C4—941no—
1622C2×C4—941no—
1623C2×C4—941no—
1624C2×C4—941no—
1625C2×C4—941no—
1626C2×C4—941no—
1627C2×C4—941no—
1628C2×C4—941no—
1629C2×C4—941no—
1630C2×C4—941no—
1631C2×C4—941no—
1632C2×C4—941no—
1633C2×C4—941no—
1634C2×C4—941no—
1635C2×C4—941no—
1636C2×C4—941no—
1637C2×C4—941no—
1638C2×C4—941no—
1639C2×C4—941no—
1640C2×C4—941no—
1641C2×C4—941no—
1642C2×C4—941no—
1643C2×C4—941no—
1644C2×C4—941no—
1645C2×C4—941no—
1646C2×C4—941no—
1647C2×C4—3762no—
1648C2×C4—3762no—
1649C2×C4—3762no—
1650C2×C4—1884no—
1651C2×C4—1884no—
1652C2×C4—1884no—
1653C2×C4—1884no—
1654C2×C4—1884no—
1655C2×C4—1884no—
1656C2×C4—1884no—
1657C2×C4—1884no—
1658C2×C4C2×D4×D4712yes—
1659C2×C4C2×D4×D4712yes—
1660C2×C4#41×D4712yes—
1661C2×C4#41×D4712yes—
1662C22—22no—
1663C22—22no—
1664C22—22no—
1665C22—41no—
1666C22—41no—
1667C22—41no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—41no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—474no—
1684C22—942no—
1685C22—942no—
1686C22—942no—
1687C22—942no—
1688C22—942no—
1689C22—942no—
1690C22—942no—
1691C22—942no—
1692C22—942no—
1693C22—18816no—
1694C22—1881no—
1695C22—1881no—
1696C22—1881no—
1697C22—1881no—
1698C22—1881no—
1699C22—1881no—
1700C22—1881no—
1701C22—1881no—
1702C22—1881no—
1703C22—1881no—
1704C22—1881no—
1705C22—1881no—
1706C22—1881no—
1707C22—1881no—
1708C22—1881no—
1709C22—1881no—
1710C22—1881no—
1711C22—1881no—
1712C22C22×D4×D4711yescharacteristic
1713C22C2×#41×D4711yescharacteristic
1714C22C2×#41×D4711yescharacteristic
1715C22H(5,𝔽2)×D4711yescharacteristic
1716C22H(5,𝔽2)×D4711yescharacteristic
1717C22#1568995911yescharacteristic
1718C22#1568995911yescharacteristic
1719C4—22no—
1720C4—22no—
1721C4—22no—
1722C4—22no—
1723C4—41no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—474no—
1732C4—942no—
1733C4—942no—
1734C4—942no—
1735C4—1881no—
1736C4—1881no—
1737C4—1881no—
1738C4—1881no—
1739C4—1881no—
1740C4—1881no—
1741C4—1881no—
1742C4—1881no—
1743C2—42no—
1744C2—81no—
1745C2—81no—
1746C2—944no—
1747C2—3761no—
1748C2—3761no—
1749C2—1882no—
1750C2#532×D4711yescharacteristic
1751C2#538×D4711yescharacteristic
1752C2#2025677111yescharacteristic
1753C2#2025714811yescharacteristic
1754C2#2025714811yescharacteristic
1755C2#2025722111yescharacteristic
1756C2#2025723411yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2559C2
hypercenter#2559D47
hypocenterC47#35005
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2559

Complements

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

NH ≅ G/Ntype
1. C2×#15689712C2semidirect
2. C2×#15689705C2semidirect
3. #20251739C2semidirect
4. #20251732C2semidirect
5. #20251669C2semidirect
6. #20251669C2semidirect
7. #20249320C2semidirect
8. #20249319C2semidirect
9. #20249127C2semidirect
10. #20249127C2semidirect
11. #20248524C2semidirect
12. #20248522C2semidirect
13. #20248511C2semidirect
14. #20248489C2semidirect
15. #20248487C2semidirect
16. #20248486C2semidirect
17. #20248484C2semidirect
18. #20247807C2semidirect
19. #20247805C2semidirect
20. #20247750C2semidirect
21. #20247744C2semidirect
22. #20246973C2semidirect
23. #20246971C2semidirect
24. #20246901C2semidirect
25. #20246895C2semidirect
26. #20246092C2semidirect
27. #20246085C2semidirect
28. #20245900C2semidirect
29. C4×#13093997C2semidirect
30. C4×C22⋊C4×D47C2semidirect
31. C47×#2559C2semidirect
35. C2×#13094023C22semidirect
36. C2×#13094020C22semidirect
70. C2×C4×C22⋊D47C22semidirect
72. C2×(C22⋊D47)⋊C4C22semidirect
77. #15689063C22semidirect
78. #15689062C22semidirect
79. #15689061C22semidirect
82. #15689052C22semidirect
83. #15689052C22semidirect
86. #15689051C22semidirect
87. #15689051C22semidirect
88. #15689041C22semidirect
91. #15689040C22semidirect
96. #15689037C22semidirect
97. #15689036C22semidirect
98. #15689036C22semidirect
99. #15689035C22semidirect
100. #15689035C22semidirect
105. #15689027C22semidirect
106. #15689027C22semidirect
107. #15689025C22semidirect
108. #15689023C22semidirect
109. #15689023C22semidirect
110. #15689023C22semidirect
111. #15689023C22semidirect
112. #15689023C22semidirect
113. #15689023C22semidirect
114. #15689021C22semidirect
115. #15689020C22semidirect
116. #15689018C22semidirect
117. #15689018C22semidirect
118. #15689018C22semidirect
119. #15689016C22semidirect
120. #15689016C22semidirect
121. #15689015C22semidirect
122. #15689014C22semidirect
123. #15689013C22semidirect
124. #15689012C22semidirect
125. #15689010C22semidirect
126. #15689007C22semidirect
127. #15689005C22semidirect
128. #15689004C22semidirect
131. #15689002C22semidirect
138. #15689000C22semidirect
145. #15688999C22semidirect
146. #15688999C22semidirect
147. #15688998C22semidirect
148. #15688997C22semidirect
149. #15688994C22semidirect
150. #15688992C22semidirect
151. #15688992C22semidirect
160. C4×Dic47⋊C4C22semidirect
161. #15688974C22semidirect
164. C22⋊C4×Dic47C22semidirect
167. C4×(C2×D47)⋊C4C22semidirect
171. #15688970C22semidirect
176. C47×#400C22semidirect
179. C47×#394C22semidirect
180. C47×#390C22semidirect
181. C47×#389C22semidirect
182. C47×#388C22semidirect
183. C47×#388C22semidirect
186. C47×#385C22semidirect
188. C4×C22⋊C4×C47C22semidirect
318. C22⋊C4×D47D4semidirect
864. Dic47#538semidirect
878. #2559D47semidirect
960. #400C2×D47semidirect
980. #394C2×D47semidirect
998. #390C2×D47semidirect
1004. #389C2×D47semidirect
1011. #388C2×D47semidirect
1012. #388C2×D47semidirect
1040. #385C2×D47semidirect
1064. C4×C22⋊C4C2×D47semidirect
1067. C47#35005semidirect

Maximal subgroups

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

subgroupindex
C2×#156897122
C2×#156897052
#202517392
#202517322
#202516692
#202493202
#202493192
#202491272
#202485242
#202485222
#202485112
#202484892
#202484872
#202484862
#202484842
#202478072
#202478052
#202477502
#202477442
#202469732
#202469712
#202469012
#202468952
#202460922
#202460852
#202459002
C4×#130939972
C4×C22⋊C4×D472
C47×#25592
#3500547