Finite Group Databasebeta

← #26423367

Subgroups — #26423367

Order 12032.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689707C211yesmaximal, characteristic, complemented
2C2×#15689632C211yesmaximal, characteristic, complemented
3#20251679C211yesmaximal, characteristic, complemented
4#20251669C211yesmaximal, characteristic, complemented
5#20250054C211yesmaximal, characteristic, complemented
6#20250009C211yesmaximal, characteristic, complemented
7#20249983C211yesmaximal, characteristic, complemented
8#20249970C211yesmaximal, characteristic, complemented
9#20249804C211yesmaximal, characteristic, complemented
10#20249756C211yesmaximal, characteristic, complemented
11#20249746C211yesmaximal, characteristic, complemented
12#20249737C211yesmaximal, characteristic, complemented
13#20249721C211yesmaximal, characteristic, complemented
14#20249719C211yesmaximal, characteristic, complemented
15#20249719C211yesmaximal, characteristic, complemented
16#20249710C211yesmaximal, characteristic, complemented
17#20249634C211yesmaximal, characteristic, complemented
18#20249609C211yesmaximal, characteristic, complemented
19#20249601C211yesmaximal, characteristic, complemented
20#20249601C211yesmaximal, characteristic, complemented
21#20249276C211yesmaximal, characteristic, complemented
22#20249231C211yesmaximal, characteristic, complemented
23#20249077C211yesmaximal, characteristic, complemented
24#20249009C211yesmaximal, characteristic, complemented
25#20248979C211yesmaximal, characteristic, complemented
26#20248972C211yesmaximal, characteristic, complemented
27#20248276C211yesmaximal, characteristic, complemented
28#20246730C211yesmaximal, characteristic, complemented
29#20246705C211yesmaximal, characteristic, complemented
30#20246026C211yesmaximal, characteristic, complemented
31C47×#2544C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic, complemented
34#15689707—28no—
35C2×#13094018C2211yescharacteristic, complemented
36C2×#13094017C2211yescharacteristic, complemented
37C2×#13094013C2211yescharacteristic
38#15689632—28no—
39C2×#13094009C2211yescharacteristic
40C2×#13094008C2211yescharacteristic, complemented
41C2×#13094006C2211yescharacteristic
42C2×#13094006C2211yescharacteristic
43C2×#13094006C2211yescharacteristic
44C2×#13094006C2211yescharacteristic, complemented
45C2×#13094002C2211yescharacteristic, complemented
46C2×#13094001C2211yescharacteristic, complemented
47C2×#13094001C2211yescharacteristic, complemented
48C2×#13094000C2211yescharacteristic, complemented
49C2×#13093997C2211yescharacteristic
50C2×#13093997C2211yescharacteristic
51C2×#13093997C2211yescharacteristic
52C2×#13093997C2211yescharacteristic
53C2×#13093996C2211yescharacteristic
54C2×#13093996C2211yescharacteristic
55C2×#13093996C2211yescharacteristic
56C2×#13093996C2211yescharacteristic, complemented
57C2×#13093994C2211yescharacteristic
58C2×#13093994C2211yescharacteristic
59C2×#13093994C2211yescharacteristic
60C2×#13093994C2211yescharacteristic
61C2×#13093992C2211yescharacteristic
62C2×#13093992C2211yescharacteristic
63C2×#13093992C2211yescharacteristic, complemented
64C2×#13093992C2211yescharacteristic, complemented
65C2×#13093992C2211yescharacteristic, complemented
66C2×#13093992C2211yescharacteristic, complemented
67C2×C4×D188C2211yescharacteristic
68C2×C4×C22⋊D47C2211yescharacteristic
69C2×C4×C22⋊D47C2211yescharacteristic, complemented
70C2×(C22⋊D47)⋊C4C2211yescharacteristic, complemented
71C2×#13093981C2211yescharacteristic, complemented
72C2×C22⋊C4×D47C2211yescharacteristic, complemented
73#15689064C2211yescharacteristic, complemented
74#15689059C2211yescharacteristic, complemented
75#15689057C2211yescharacteristic, complemented
76#15689054C2211yescharacteristic, complemented
77#15689053C2211yescharacteristic, complemented
78#15689052C2211yescharacteristic, complemented
79#15689052C2211yescharacteristic, complemented
80#15689049C2211yescharacteristic, complemented
81#15689047C2211yescharacteristic, complemented
82#15689046C2211yescharacteristic, complemented
83#15689046C2211yescharacteristic, complemented
84#15689046C2211yescharacteristic, complemented
85#15689045C2211yescharacteristic, complemented
86#15689045C2211yescharacteristic, complemented
87#15689042C2211yescharacteristic, complemented
88#15689041C2211yescharacteristic
89#15689041C2211yescharacteristic
90#15689040C2211yescharacteristic
91#15689039C2211yescharacteristic, complemented
92#15689039C2211yescharacteristic, complemented
93#15689039C2211yescharacteristic, complemented
94#15689039C2211yescharacteristic, complemented
95#15689038C2211yescharacteristic
96#15689038C2211yescharacteristic
97#15689038C2211yescharacteristic
98#15689038C2211yescharacteristic, complemented
99#15689037C2211yescharacteristic
100#15689037C2211yescharacteristic, complemented
101#15689037C2211yescharacteristic, complemented
102#15689037C2211yescharacteristic, complemented
103#15689036C2211yescharacteristic, complemented
104#15689035C2211yescharacteristic, complemented
105#15689034C2211yescharacteristic, complemented
106#15689032C2211yescharacteristic
107#15689032C2211yescharacteristic
108#15689032C2211yescharacteristic
109#15689031C2211yescharacteristic
110#15689031C2211yescharacteristic
111#15689031C2211yescharacteristic
112#15689031C2211yescharacteristic
113#15689031C2211yescharacteristic
114#15689031C2211yescharacteristic, complemented
115#15689031C2211yescharacteristic, complemented
116#15689031C2211yescharacteristic, complemented
117#15689027C2211yescharacteristic, complemented
118#15689025C2211yescharacteristic
119#15689024C2211yescharacteristic
120#15689024C2211yescharacteristic
121#15689023C2211yescharacteristic
122#15689023C2211yescharacteristic
123#15689023C2211yescharacteristic, complemented
124#15689023C2211yescharacteristic, complemented
125#15689023C2211yescharacteristic, complemented
126#15689021C2211yescharacteristic, complemented
127#15689019C2211yescharacteristic, complemented
128#15689019C2211yescharacteristic, complemented
129#15689017C2211yescharacteristic, complemented
130#15689017C2211yescharacteristic, complemented
131#15689017C2211yescharacteristic, complemented
132#15689017C2211yescharacteristic, complemented
133#15689016C2211yescharacteristic, complemented
134#15689015C2211yescharacteristic, complemented
135#15689014C2211yescharacteristic, complemented
136#15689014C2211yescharacteristic, complemented
137#15689014C2211yescharacteristic, complemented
138#15689014C2211yescharacteristic, complemented
139#15689014C2211yescharacteristic, complemented
140#15689014C2211yescharacteristic, complemented
141#15689011C2211yescharacteristic, complemented
142#15689011C2211yescharacteristic, complemented
143#15689008C2211yescharacteristic, complemented
144#15689005C2211yescharacteristic, complemented
145#15689003C2211yescharacteristic
146#15689003C2211yescharacteristic, complemented
147#15689002C2211yescharacteristic
148#15689002C2211yescharacteristic, complemented
149#15689001C2211yescharacteristic
150#15689001C2211yescharacteristic
151#15689001C2211yescharacteristic
152#15688999C2211yescharacteristic
153#15688999C2211yescharacteristic
154#15688999C2211yescharacteristic, complemented
155#15688999C2211yescharacteristic, complemented
156#15688999C2211yescharacteristic, complemented
157#15688998C2211yescharacteristic, complemented
158#15688997C2211yescharacteristic, complemented
159#15688997C2211yescharacteristic, complemented
160#15688996C2211yescharacteristic, complemented
161#15688996C2211yescharacteristic, complemented
162#15688995C2211yescharacteristic, complemented
163#15688985C2211yescharacteristic, complemented
164#15688985C2211yescharacteristic, complemented
165#15688985C2211yescharacteristic, complemented
166#15688985C2211yescharacteristic, complemented
167#15688982C2211yescharacteristic, complemented
168#15688982C2211yescharacteristic, complemented
169#15688982C2211yescharacteristic, complemented
170#15688981C2211yescharacteristic, complemented
171#15688978C2211yescharacteristic, complemented
172#15688978C2211yescharacteristic, complemented
173#15688969C2211yescharacteristic, complemented
174C2×#127×C47C2211yescharacteristic
175C2×#124×C47C2211yescharacteristic, complemented
176C2×#124×C47C2211yescharacteristic, complemented
177C2×C4×D4×C47C2211yescharacteristic, complemented
178C47×#394C2211yescharacteristic
179C47×#394C2211yescharacteristic, complemented
180C47×#394C2211yescharacteristic, complemented
181C47×#394C2211yescharacteristic, complemented
182C47×#391C2211yescharacteristic, complemented
183C47×#390C2211yescharacteristic, complemented
184C47×#386C2211yescharacteristic
185C47×#386C2211yescharacteristic, complemented
186C47×#386C2211yescharacteristic, complemented
187C47×#386C2211yescharacteristic, complemented
188C4×C4⋊C4×C47C2211yescharacteristic, complemented
189C24×D47C2311yescharacteristic
190C24×D47C2311yescharacteristic
191C2×#10625350—24no—
192C2×#10625350—42no—
193C2×#10625350—42no—
194C22×Dic94C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C22×C22⋊D47C2311yescharacteristic
208C22×C22⋊D47C2311yescharacteristic
209C22×C22⋊D47C2311yescharacteristic
210C22×C22⋊D47C2311yescharacteristic
211C23×Dic47C2311yescharacteristic
212C23×Dic47C2311yescharacteristic
213C22×C4×D47—24no—
214C22×C4×D47—42no—
215C22×C4×D47—42no—
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219C22×C4×D47C2311yescharacteristic
220C22×C4×D47C2311yescharacteristic
221C22×C4×D47C2311yescharacteristic
222#13094018—24no—
223#13094017—24no—
224#13094013—24no—
225#13094009—24no—
226#13094008—24no—
227#13094006—24no—
228#13094006—24no—
229#13094006—42no—
230#13094006—42no—
231#13094002—24no—
232#13094001—24no—
233#13094001—42no—
234#13094000—24no—
235#13093997—24no—
236#13093997—24no—
237#13093997—24no—
238#13093997—42no—
239#13093996—24no—
240#13093996—24no—
241#13093996—42no—
242#13093996—42no—
243#13093994—24no—
244#13093994—24no—
245#13093994—42no—
246#13093994—42no—
247#13093992—24no—
248#13093992—24no—
249#13093992—42no—
250#13093992—42no—
251#13093992—42no—
252#13093992—42no—
253C4×D188D418yescomplemented
254C4×C22⋊D47—24no—
255C4×C22⋊D47—24no—
256(C22⋊D47)⋊C4—24no—
257#13093981—24no—
258C2×C4⋊Dic47C2311yescharacteristic
259C2×C4⋊Dic47C2311yescharacteristic
260C2×C4⋊Dic47C2311yescharacteristic
261C2×C4⋊Dic47C2311yescharacteristic
262C2×C4⋊Dic47C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×Dic47⋊C4C2311yescharacteristic
277C2×Dic47⋊C4C2311yescharacteristic
278C2×Dic47⋊C4C2311yescharacteristic
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×C22⋊Dic47C2311yescharacteristic
290C2×C22⋊Dic47C2311yescharacteristic
291C2×C22⋊Dic47C2311yescharacteristic
292C2×C22⋊Dic47C2311yescharacteristic
293C2×C22⋊Dic47C2311yescharacteristic
294C2×C22⋊Dic47C2311yescharacteristic
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
317C2×(C2×D47)⋊C4C2311yescharacteristic
318C2×(C2×D47)⋊C4C2311yescharacteristic
319C2×(C2×D47)⋊C4C2311yescharacteristic
320C2×(C2×D47)⋊C4C2311yescharacteristic
321C2×(C2×D47)⋊C4C2311yescharacteristic
322C2×(C2×D47)⋊C4C2311yescharacteristic
323C2×(C2×D47)⋊C4C2311yescharacteristic
324C2×(C2×D47)⋊C4C2311yescharacteristic
325C22⋊C4×D47—24no—
326C2×C4×Dic47C2311yescharacteristic
327C2×C4×Dic47C2311yescharacteristic
328C2×C4×Dic47C2311yescharacteristic
329C2×C4×Dic47C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C47⋊#95C2311yescharacteristic
349C47⋊#95C2311yescharacteristic
350C47⋊#95C2311yescharacteristic
351C47⋊#95C2311yescharacteristic
352C22×Q8×C47C2311yescharacteristic
353C22×D4×C47C2311yescharacteristic
354C22×D4×C47C2311yescharacteristic
355C22×D4×C47C2311yescharacteristic
356C22×D4×C47C2311yescharacteristic
357C22×D4×C47C2311yescharacteristic
358C22×D4×C47C2311yescharacteristic
359C23×C4×C47C2311yescharacteristic
360C23×C4×C47C2311yescharacteristic
361#127×C47—42no—
362#124×C47—24no—
363#124×C47—42no—
364C4×D4×C47—24no—
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×C22⋊C4×C47C2311yescharacteristic
379C2×C22⋊C4×C47C2311yescharacteristic
380C2×C22⋊C4×C47C2311yescharacteristic
381C2×C22⋊C4×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
394C24×C47C2411yescharacteristic
395C23×D47—22no—
396C23×D47—22no—
397C23×D47—22no—
398C23×D47—22no—
399C23×D47—41no—
400C23×D47—41no—
401C23×D47—41no—
402C23×D47—41no—
403C23×D47—41no—
404C23×D47—41no—
405C23×D47—41no—
406C23×D47—41no—
407C23×D47—41no—
408C23×D47—41no—
409C23×D47C2411yescharacteristic
410C23×D47C2411yescharacteristic
411C23×D47C2411yescharacteristic
412C23×D47C2411yescharacteristic
413C2×Q8×C47—22no—
414C2×Q8×C47—41no—
415C2×Q8×C47—41no—
416C2×D4×C47—22no—
417C2×D4×C47—22no—
418C2×D4×C47—22no—
419C2×D4×C47—22no—
420C2×D4×C47—22no—
421C2×D4×C47—41no—
422C2×D4×C47—41no—
423C2×D4×C47—41no—
424C2×D4×C47—41no—
425C2×D4×C47—41no—
426C2×D4×C47—41no—
427C2×D4×C47—41no—
428C2×D4×C47—41no—
429C2×D4×C47—41no—
430C2×D4×C47—41no—
431C2×D4×C47—41no—
432C2×D4×C47—41no—
433C2×D4×C47—41no—
434C22×C4×C47—22no—
435C22×C4×C47—22no—
436C22×C4×C47—41no—
437C22×C4×C47—41no—
438C22×C4×C47—41no—
439C22×C4×C47—41no—
440C22×C4×C47C2411yescharacteristic
441C22×C4×C47C2411yescharacteristic
442C22×C4×C47C2411yescharacteristic
443C22×C4×C47C2411yescharacteristic
444C22×C4×C47C2411yescharacteristic
445C22×C4×C47C2411yescharacteristic
446C22×C4×C47C2411yescharacteristic
447C22×C4×C47C2411yescharacteristic
448C22×C4×C47C2411yescharacteristic
449C22×C4×C47C2411yescharacteristic
450C22×C4×C47C2411yescharacteristic
451C2×C22⋊D47—22no—
452C2×C22⋊D47—22no—
453C2×C22⋊D47—22no—
454C2×C22⋊D47—22no—
455C2×C22⋊D47—22no—
456C2×C22⋊D47—22no—
457C2×C22⋊D47—22no—
458C2×C22⋊D47—22no—
459C2×C22⋊D47—22no—
460C2×C22⋊D47—22no—
461C2×C22⋊D47—22no—
462C2×C22⋊D47—22no—
463C2×C22⋊D47—22no—
464C2×C22⋊D47—22no—
465C2×C22⋊D47—41no—
466C2×C22⋊D47—41no—
467C2×C22⋊D47—41no—
468C2×C22⋊D47—41no—
469C2×C22⋊D47—41no—
470C2×C22⋊D47—41no—
471C2×C22⋊D47—41no—
472C2×C22⋊D47—41no—
473C2×C22⋊D47—41no—
474C2×C22⋊D47—41no—
475C2×C22⋊D47—41no—
476C2×C22⋊D47—41no—
477C2×C22⋊D47—41no—
478C2×C22⋊D47—41no—
479C2×C22⋊D47—41no—
480C2×C22⋊D47—41no—
481C2×C22⋊D47—41no—
482C2×C22⋊D47—41no—
483C2×C22⋊D47—41no—
484C2×C22⋊D47—41no—
485C2×C22⋊D47—41no—
486C2×C22⋊D47—41no—
487C22×Dic47—22no—
488C22×Dic47—22no—
489C22×Dic47—22no—
490C22×Dic47—41no—
491C22×Dic47—41no—
492C22×Dic47—41no—
493C22×Dic47C2411yescharacteristic
494C22×Dic47C2411yescharacteristic
495C22×Dic47C2411yescharacteristic
496C22×Dic47C2411yescharacteristic
497C22×Dic47C2411yescharacteristic
498C22×Dic47C2411yescharacteristic
499C22×Dic47C2411yescharacteristic
500C22×Dic47C2411yescharacteristic
501C22×Dic47C2411yescharacteristic
502C22×Dic47C2411yescharacteristic
503C22×Dic47C2411yescharacteristic
504C22×Dic47C2411yescharacteristic
505#10625350—416no—
506C2×D188—22no—
507C2×D188—22no—
508C2×D188—22no—
509C2×D188—22no—
510C2×D188—41no—
511C2×D188—41no—
512C2×D188—41no—
513C2×D188—41no—
514C2×D188—41no—
515C2×D188—41no—
516C2×D188—41no—
517C2×D188C2×D414yes—
518C2×C4×D47—22no—
519C2×C4×D47—22no—
520C2×C4×D47—22no—
521C2×C4×D47—22no—
522C2×C4×D47—22no—
523C2×C4×D47—22no—
524C2×C4×D47—22no—
525C2×C4×D47—22no—
526C2×C4×D47—416no—
527C2×C4×D47—41no—
528C2×C4×D47—41no—
529C2×C4×D47—41no—
530C2×C4×D47—41no—
531C2×C4×D47—41no—
532C2×C4×D47—41no—
533C2×C4×D47—41no—
534C2×C4×D47—41no—
535C2×C4×D47C2×D414yes—
536C2×C4×D47C2×D414yes—
537C2×Dic94—22no—
538C2×Dic94—22no—
539C2×Dic94—41no—
540C4⋊C4×C47—22no—
541C4⋊C4×C47—41no—
542C4⋊C4×C47—41no—
543C22⋊C4×C47—22no—
544C22⋊C4×C47—22no—
545C22⋊C4×C47—22no—
546C22⋊C4×C47—22no—
547C22⋊C4×C47—22no—
548C22⋊C4×C47—22no—
549C22⋊C4×C47—22no—
550C22⋊C4×C47—22no—
551C22⋊C4×C47—41no—
552C22⋊C4×C47—41no—
553C22⋊C4×C47—41no—
554C22⋊C4×C47—41no—
555C22⋊C4×C47—41no—
556C22⋊C4×C47—41no—
557C42×C47—41no—
558C42×C47—41no—
559C42×C47C2×D414yes—
560C22⋊Dic47—22no—
561C22⋊Dic47—22no—
562C22⋊Dic47—22no—
563C22⋊Dic47—22no—
564C22⋊Dic47—22no—
565C22⋊Dic47—22no—
566C22⋊Dic47—22no—
567C22⋊Dic47—41no—
568C22⋊Dic47—41no—
569C22⋊Dic47—41no—
570C22⋊Dic47—41no—
571C22⋊Dic47—41no—
572C22⋊Dic47—41no—
573C22⋊Dic47—41no—
574C22⋊Dic47—41no—
575C22⋊Dic47—41no—
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—22no—
584(C2×D47)⋊C4—22no—
585(C2×D47)⋊C4—22no—
586(C2×D47)⋊C4—22no—
587(C2×D47)⋊C4—22no—
588(C2×D47)⋊C4—41no—
589(C2×D47)⋊C4—41no—
590(C2×D47)⋊C4—41no—
591(C2×D47)⋊C4—41no—
592(C2×D47)⋊C4—41no—
593(C2×D47)⋊C4—41no—
594(C2×D47)⋊C4—41no—
595(C2×D47)⋊C4—41no—
596(C2×D47)⋊C4—41no—
597(C2×D47)⋊C4—41no—
598(C2×D47)⋊C4—41no—
599(C2×D47)⋊C4—41no—
600(C2×D47)⋊C4—41no—
601(C2×D47)⋊C4—41no—
602(C2×D47)⋊C4—41no—
603(C2×D47)⋊C4—41no—
604(C2×D47)⋊C4C2×D414yes—
605(C2×D47)⋊C4C2×D414yes—
606C4⋊Dic47—22no—
607C4⋊Dic47—22no—
608C4⋊Dic47—41no—
609C4⋊Dic47—41no—
610C4⋊Dic47C2×D414yes—
611Dic47⋊C4—22no—
612Dic47⋊C4—22no—
613Dic47⋊C4—22no—
614Dic47⋊C4—22no—
615Dic47⋊C4—22no—
616Dic47⋊C4—22no—
617Dic47⋊C4—22no—
618Dic47⋊C4—22no—
619Dic47⋊C4—41no—
620Dic47⋊C4—41no—
621Dic47⋊C4—41no—
622Dic47⋊C4—41no—
623Dic47⋊C4—41no—
624Dic47⋊C4—41no—
625Dic47⋊C4—41no—
626Dic47⋊C4—41no—
627C4×Dic47—22no—
628C4×Dic47—22no—
629C4×Dic47—41no—
630C4×Dic47—41no—
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×C47—21no—
641C23×C47—21no—
642C23×C47—21no—
643C23×C47—21no—
644C23×C47—21no—
645C23×C47—21no—
646C23×C47—21no—
647C23×C47—21no—
648C23×C47—21no—
649C23×C47—21no—
650C23×C47—21no—
651C23×C47—21no—
652C23×C47—21no—
653C23×C47—21no—
654C23×C47—21no—
655C23×C47—21no—
656C23×C47—21no—
657C23×C47—21no—
658C23×C47H(5,𝔽2)12yes—
659C23×C47C2511yescharacteristic
660C22×D47—21no—
661C22×D47—21no—
662C22×D47—21no—
663C22×D47—21no—
664C22×D47—21no—
665C22×D47—21no—
666C22×D47—21no—
667C22×D47—21no—
668C22×D47—21no—
669C22×D47—21no—
670C22×D47—21no—
671C22×D47—21no—
672C22×D47—21no—
673C22×D47—21no—
674C22×D47—21no—
675C22×D47—21no—
676C22×D47—21no—
677C22×D47—21no—
678C22×D47—21no—
679C22×D47—21no—
680C22×D47—21no—
681C22×D47—21no—
682C22×D47—21no—
683C22×D47—21no—
684C22×D47—21no—
685C22×D47—44no—
686C22×D47—44no—
687C22×D47—44no—
688C22×D47—44no—
689C22×D47—44no—
690C22×D47—44no—
691C22×D47—44no—
692C22×D47—44no—
693C22×D47—82no—
694C22×D47—82no—
695C22×D47—82no—
696C22×D47—82no—
697C22×D47—82no—
698C22×D47—82no—
699C22×D47C22×D412yes—
700C22×D47C22×D412yes—
701C22×D47H(5,𝔽2)12yes—
702Q8×C47—82no—
703D4×C47—44no—
704D4×C47—82no—
705D4×C47—82no—
706D4×C47—82no—
707D4×C47—82no—
708D4×C47—82no—
709C2×C4×C47—21no—
710C2×C4×C47—21no—
711C2×C4×C47—21no—
712C2×C4×C47—21no—
713C2×C4×C47—21no—
714C2×C4×C47—21no—
715C2×C4×C47—21no—
716C2×C4×C47—21no—
717C2×C4×C47—21no—
718C2×C4×C47—21no—
719C2×C4×C47—21no—
720C2×C4×C47—21no—
721C2×C4×C47—21no—
722C2×C4×C47—21no—
723C2×C4×C47—21no—
724C2×C4×C47—21no—
725C2×C4×C47—21no—
726C2×C4×C47—21no—
727C2×C4×C47—21no—
728C2×C4×C47—21no—
729C2×C4×C47—21no—
730C2×C4×C47—21no—
731C2×C4×C47—21no—
732C2×C4×C47—21no—
733C2×C4×C47—21no—
734C2×C4×C47—21no—
735C2×C4×C47—21no—
736C2×C4×C47—21no—
737C2×C4×C47—21no—
738C2×C4×C47—21no—
739C2×C4×C47—44no—
740C2×C4×C47—44no—
741C2×C4×C47C22×D412yes—
742C2×C4×C47C22×D412yes—
743C2×C4×C47C22×D412yes—
744C22⋊D47—44no—
745C22⋊D47—44no—
746C22⋊D47—44no—
747C22⋊D47—44no—
748C22⋊D47—44no—
749C22⋊D47—82no—
750C22⋊D47—82no—
751C22⋊D47—82no—
752C22⋊D47—82no—
753C22⋊D47—82no—
754C22⋊D47—82no—
755C22⋊D47—82no—
756C2×Dic47—21no—
757C2×Dic47—21no—
758C2×Dic47—21no—
759C2×Dic47—21no—
760C2×Dic47—21no—
761C2×Dic47—21no—
762C2×Dic47—21no—
763C2×Dic47—21no—
764C2×Dic47—21no—
765C2×Dic47—21no—
766C2×Dic47—21no—
767C2×Dic47—21no—
768C2×Dic47—21no—
769C2×Dic47—21no—
770C2×Dic47—21no—
771C2×Dic47—21no—
772C2×Dic47—21no—
773C2×Dic47—21no—
774C2×Dic47—21no—
775C2×Dic47—21no—
776C2×Dic47—21no—
777C2×Dic47—21no—
778C2×Dic47—21no—
779C2×Dic47—21no—
780C2×Dic47—21no—
781C2×Dic47—21no—
782C2×Dic47—21no—
783C2×Dic47—21no—
784C2×Dic47—21no—
785C2×Dic47—21no—
786C2×Dic47—21no—
787C2×Dic47—21no—
788C2×Dic47—21no—
789C2×Dic47—44no—
790C2×Dic47—82no—
791C2×Dic47C22×D412yes—
792C2×Dic47C22×D412yes—
793C2×Dic47H(5,𝔽2)12yes—
794D188—44no—
795D188—44no—
796D188—82no—
797D188—82no—
798C4×D47—28no—
799C4×D47—44no—
800C4×D47—44no—
801C4×D47—44no—
802C4×D47—44no—
803C4×D47—82no—
804Dic94—44no—
805#36724—471nomaximal, Sylow
806C22×C47—22no—
807C22×C47—22no—
808C22×C47—22no—
809C22×C47—41no—
810C22×C47—41no—
811C22×C47—41no—
812C22×C47—41no—
813C22×C47—41no—
814C22×C47—41no—
815C22×C47—41no—
816C22×C47—41no—
817C22×C47—41no—
818C22×C47—41no—
819C22×C47—41no—
820C22×C47—41no—
821C22×C47—41no—
822C22×C47—41no—
823C22×C47—41no—
824C22×C47—41no—
825C22×C47—41no—
826C22×C47—41no—
827C22×C47—41no—
828C22×C47—41no—
829C22×C47—41no—
830C22×C47—41no—
831C22×C47—41no—
832C22×C47—41no—
833C22×C47—41no—
834C22×C47C23×D411yescharacteristic
835C22×C47C2×H(5,𝔽2)11yescharacteristic
836C22×C47C2×H(5,𝔽2)11yescharacteristic
837C22×C47C2×H(5,𝔽2)11yescharacteristic
838C22×C47#58511yescharacteristic
839C22×C47#58511yescharacteristic
840C22×C47#58511yescharacteristic
841C2×D47—22no—
842C2×D47—22no—
843C2×D47—22no—
844C2×D47—22no—
845C2×D47—22no—
846C2×D47—22no—
847C2×D47—22no—
848C2×D47—22no—
849C2×D47—22no—
850C2×D47—416no—
851C2×D47—41no—
852C2×D47—41no—
853C2×D47—41no—
854C2×D47—41no—
855C2×D47—41no—
856C2×D47—41no—
857C2×D47—41no—
858C2×D47—41no—
859C2×D47—41no—
860C2×D47—41no—
861C2×D47—41no—
862C2×D47—41no—
863C2×D47—41no—
864C2×D47—41no—
865C2×D47—41no—
866C2×D47—41no—
867C2×D47—41no—
868C2×D47—41no—
869C2×D47—41no—
870C2×D47—88no—
871C4×C47—22no—
872C4×C47—22no—
873C4×C47—22no—
874C4×C47—41no—
875C4×C47—41no—
876C4×C47—41no—
877C4×C47—41no—
878C4×C47—41no—
879C4×C47—41no—
880C4×C47—41no—
881C4×C47—41no—
882Dic47—22no—
883Dic47—22no—
884Dic47—22no—
885Dic47—41no—
886Dic47—41no—
887Dic47—41no—
888Dic47—41no—
889Dic47—41no—
890Dic47—41no—
891Dic47—41no—
892Dic47—41no—
893Dic47—41no—
894C2×#538—471no—
895C2×#525—471no—
896#2849—471no—
897#2847—471no—
898#2705—471no—
899#2702—471no—
900#2700—471no—
901#2699—471no—
902#2687—471no—
903#2682—471no—
904#2681—471no—
905#2681—471no—
906#2679—471no—
907#2678—471no—
908#2678—471no—
909#2678—471no—
910#2672—471no—
911#2670—471no—
912#2669—471no—
913#2669—471no—
914#2635—471no—
915#2630—471no—
916#2610—471no—
917#2603—471no—
918#2601—471no—
919#2600—471no—
920#2544D4711yescharacteristic, complemented
921#2534—471no—
922#2407—471no—
923#2404—471no—
924#2319—471no—
925C2×C47—42no—
926C2×C47—81no—
927C2×C47—81no—
928C2×C47—81no—
929C2×C47#344911yescharacteristic
930C2×C47#348411yescharacteristic
931C2×C47#348811yescharacteristic
932C2×C47#353311yescharacteristic
933C2×C47#353411yescharacteristic
934C2×C47#354011yescharacteristic
935C2×C47#354211yescharacteristic
936D47—42no—
937D47—42no—
938D47—42no—
939D47—81no—
940C22×#41—471no—
941C24×C4—471no—
942#538—948no—
943C2×#127C2×D4711yescharacteristic
944C2×#126—471no—
945C2×#126—471no—
946C2×#124—471no—
947C2×#124C2×D4711yescharacteristic, complemented
948C2×#124C2×D4711yescharacteristic, complemented
949#525—948no—
950C2×#123—471no—
951C2×#123—471no—
952C2×#123—471no—
953C2×#123—471no—
954C2×#123—471no—
955C2×#123—471no—
956C2×C22⋊Q8—471no—
957C2×C22⋊Q8—471no—
958C2×C22⋊Q8—471no—
959C2×C22⋊Q8—471no—
960C2×#121—471no—
961C2×#121—471no—
962C2×#121—471no—
963C2×#121—471no—
964C2×#121—471no—
965C2×#121—471no—
966C2×#121—471no—
967C2×#121—471no—
968C2×#120—471no—
969C2×#120—471no—
970C2×#120—471no—
971C2×#120—471no—
972C2×#120—471no—
973C2×#120—471no—
974C2×#120—471no—
975C2×#120—471no—
976C2×#120—471no—
977C2×#120—471no—
978C2×C4×D4—471no—
979C2×C4×D4—471no—
980C2×C4×D4—471no—
981C2×C4×D4—471no—
982C2×C4×D4C2×D4711yescharacteristic, complemented
983C2×#117—471no—
984C22×C22⋊C4—471no—
985#400—471no—
986#399—471no—
987#398—471no—
988#398—471no—
989#398—471no—
990#397—471no—
991#397—471no—
992#397—471no—
993#396—471no—
994#396—471no—
995#396—471no—
996#396—471no—
997#396—471no—
998#396—471no—
999#395—471no—
1000#394—471no—
1001#394—471no—
1002#394—471no—
1003#394—471no—
1004#394—471no—
1005#394—471no—
1006#394—471no—
1007#394—471no—
1008#394—471no—
1009#394—471no—
1010#394—471no—
1011#394—471no—
1012#394—471no—
1013#394—471no—
1014#394—471no—
1015#394C2×D4711yescharacteristic
1016#394C2×D4711yescharacteristic, complemented
1017#394C2×D4711yescharacteristic, complemented
1018#394C2×D4711yescharacteristic, complemented
1019#393—471no—
1020#393—471no—
1021#393—471no—
1022#392—471no—
1023#392—471no—
1024#392—471no—
1025#392—471no—
1026#392—471no—
1027#392—471no—
1028#392—471no—
1029#392—471no—
1030#392—471no—
1031#392—471no—
1032#392—471no—
1033#391—471no—
1034#391C2×D4711yescharacteristic, complemented
1035#390—471no—
1036#390—471no—
1037#390—471no—
1038#390—471no—
1039#390—471no—
1040#390—471no—
1041#390—471no—
1042#390—471no—
1043#390C2×D4711yescharacteristic, complemented
1044#389—471no—
1045#389—471no—
1046#389—471no—
1047#388—471no—
1048#388—471no—
1049#388—471no—
1050#388—471no—
1051#388—471no—
1052#388—471no—
1053#388—471no—
1054#388—471no—
1055#388—471no—
1056#388—471no—
1057#388—471no—
1058#388—471no—
1059#388—471no—
1060#388—471no—
1061#387—471no—
1062#387—471no—
1063#386—471no—
1064#386—471no—
1065#386—471no—
1066#386—471no—
1067#386—471no—
1068#386—471no—
1069#386—471no—
1070#386—471no—
1071#386—471no—
1072#386—471no—
1073#386—471no—
1074#386—471no—
1075#386C2×D4711yescharacteristic
1076#386C2×D4711yescharacteristic, complemented
1077#386C2×D4711yescharacteristic, complemented
1078#386C2×D4711yescharacteristic, complemented
1079#385—471no—
1080#385—471no—
1081#385—471no—
1082#385—471no—
1083#385—471no—
1084#385—471no—
1085#381—471no—
1086#381—471no—
1087#381—471no—
1088#381—471no—
1089#380—471no—
1090#380—471no—
1091#380—471no—
1092#380—471no—
1093#379—471no—
1094#379—471no—
1095C4×C4⋊C4C2×D4711yescharacteristic, complemented
1096#376—471no—
1097C47#3672411yescharacteristic, complemented, Sylow
1098C25—471no—
1099C25—471no—
1100C2×#41—944no—
1101C2×#41—1882no—
1102C2×#41—1882no—
1103C22×Q8—471no—
1104C22×Q8C22×D4711yescharacteristic
1105C22×D4—471no—
1106C22×D4—471no—
1107C22×D4—471no—
1108C22×D4—471no—
1109C22×D4—471no—
1110C22×D4—471no—
1111C22×D4—471no—
1112C22×D4—471no—
1113C22×D4—471no—
1114C22×D4—471no—
1115C22×D4—471no—
1116C22×D4—471no—
1117C22×D4—471no—
1118C22×D4—471no—
1119C22×D4—471no—
1120C22×D4—471no—
1121C22×D4C22×D4711yescharacteristic
1122C22×D4C22×D4711yescharacteristic
1123C22×D4C22×D4711yescharacteristic
1124C22×D4C22×D4711yescharacteristic
1125C22×D4C22×D4711yescharacteristic
1126C22×D4C22×D4711yescharacteristic
1127C23×C4—471no—
1128C23×C4—471no—
1129C23×C4—471no—
1130C23×C4—471no—
1131C23×C4—471no—
1132C23×C4—471no—
1133C23×C4—471no—
1134C23×C4—471no—
1135C23×C4—944no—
1136C23×C4—1882no—
1137C23×C4—1882no—
1138C23×C4C22×D4711yescharacteristic
1139C23×C4C22×D4711yescharacteristic
1140#127—42no—
1141#126—944no—
1142#126—944no—
1143#124—24no—
1144#124—42no—
1145#124—944no—
1146#123—944no—
1147#123—944no—
1148#123—944no—
1149#123—944no—
1150#123—1882no—
1151#123—1882no—
1152C22⋊Q8—944no—
1153C22⋊Q8—944no—
1154C22⋊Q8—944no—
1155C22⋊Q8—1882no—
1156#121—944no—
1157#121—944no—
1158#121—944no—
1159#121—944no—
1160#121—944no—
1161#121—1882no—
1162#121—1882no—
1163#121—1882no—
1164#120—944no—
1165#120—944no—
1166#120—944no—
1167#120—944no—
1168#120—1882no—
1169#120—1882no—
1170#120—1882no—
1171#120—1882no—
1172#120—1882no—
1173#120—1882no—
1174C4×D4—24no—
1175C4×D4—478no—
1176C4×D4—944no—
1177C4×D4—944no—
1178C4×D4—944no—
1179#117—944no—
1180C2×C4⋊C4—471no—
1181C2×C4⋊C4—471no—
1182C2×C4⋊C4—471no—
1183C2×C4⋊C4—471no—
1184C2×C4⋊C4—471no—
1185C2×C4⋊C4—471no—
1186C2×C4⋊C4—471no—
1187C2×C4⋊C4—471no—
1188C2×C4⋊C4—471no—
1189C2×C4⋊C4—471no—
1190C2×C4⋊C4—471no—
1191C2×C4⋊C4—471no—
1192C2×C4⋊C4—471no—
1193C2×C4⋊C4—471no—
1194C2×C4⋊C4—471no—
1195C2×C4⋊C4—471no—
1196C2×C4⋊C4—471no—
1197C2×C4⋊C4—471no—
1198C2×C4⋊C4—471no—
1199C2×C4⋊C4—471no—
1200C2×C4⋊C4—471no—
1201C2×C4⋊C4C22×D4711yescharacteristic
1202C2×C4⋊C4C22×D4711yescharacteristic
1203C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1211C2×C22⋊C4—471no—
1212C2×C22⋊C4—471no—
1213C2×C22⋊C4—471no—
1214C2×C22⋊C4—471no—
1215C2×C22⋊C4—471no—
1216C2×C22⋊C4—471no—
1217C2×C22⋊C4—471no—
1218C2×C22⋊C4—471no—
1219C2×C22⋊C4—471no—
1220C2×C22⋊C4—471no—
1221C2×C22⋊C4—471no—
1222C2×C22⋊C4—471no—
1223C2×C22⋊C4—471no—
1224C2×C22⋊C4—471no—
1225C2×C22⋊C4—471no—
1226C2×C22⋊C4—471no—
1227C2×C22⋊C4—471no—
1228C2×C22⋊C4—471no—
1229C2×C22⋊C4—471no—
1230C2×C22⋊C4—471no—
1231C2×C22⋊C4—471no—
1232C2×C22⋊C4—471no—
1233C2×C22⋊C4—471no—
1234C2×C22⋊C4—471no—
1235C2×C22⋊C4—471no—
1236C2×C22⋊C4—471no—
1237C2×C22⋊C4—471no—
1238C2×C22⋊C4—471no—
1239C2×C22⋊C4—471no—
1240C2×C22⋊C4—471no—
1241C2×C22⋊C4—471no—
1242C2×C22⋊C4—471no—
1243C2×C22⋊C4—471no—
1244C2×C22⋊C4—471no—
1245C2×C22⋊C4—471no—
1246C2×C22⋊C4—471no—
1247C2×C22⋊C4—471no—
1248C2×C22⋊C4—471no—
1249C2×C22⋊C4—471no—
1250C2×C22⋊C4—944no—
1251C2×C22⋊C4C22×D4711yescharacteristic
1252C2×C22⋊C4C22×D4711yescharacteristic
1253C2×C22⋊C4C22×D4711yescharacteristic
1254C2×C22⋊C4C22×D4711yescharacteristic
1255C2×C22⋊C4C22×D4711yescharacteristic
1256C2×C22⋊C4C22×D4711yescharacteristic
1257C2×C22⋊C4C22×D4711yescharacteristic
1258C2×C22⋊C4C22×D4711yescharacteristic
1259C2×C22⋊C4C22×D4711yescharacteristic
1260C2×C22⋊C4C22×D4711yescharacteristic
1261C2×C22⋊C4C22×D4711yescharacteristic
1262C2×C22⋊C4C22×D4711yescharacteristic
1263C2×C22⋊C4C22×D4711yescharacteristic
1264C2×C22⋊C4C22×D4711yescharacteristic
1265C2×C42—471no—
1266C2×C42—471no—
1267C2×C42—471no—
1268C2×C42—471no—
1269C2×C42C22×D4711yescharacteristic
1270C2×C42C22×D4711yescharacteristic
1271C2×C42C22×D4711yescharacteristic
1272#95—471no—
1273#95—471no—
1274#95—471no—
1275#95—471no—
1276#95—471no—
1277#95—471no—
1278#95—471no—
1279#95—471no—
1280#95—471no—
1281#95—471no—
1282#95—471no—
1283#95—471no—
1284#95—471no—
1285#95—471no—
1286#95—471no—
1287#95—471no—
1288#95—471no—
1289#95—471no—
1290#95—471no—
1291#95—471no—
1292#95—471no—
1293#95—471no—
1294#95C22×D4711yescharacteristic
1295#95C22×D4711yescharacteristic
1296#95C22×D4711yescharacteristic
1297#95C22×D4711yescharacteristic
1298#95C22×D4711yescharacteristic
1299#95C22×D4711yescharacteristic
1300C24—471no—
1301C24—471no—
1302C24—471no—
1303C24—471no—
1304C24—942no—
1305C24—942no—
1306C24—942no—
1307C24—942no—
1308C24—1881no—
1309C24—1881no—
1310C24—1881no—
1311C24—1881no—
1312C24—1881no—
1313C24—1881no—
1314C24—1881no—
1315C24—1881no—
1316C24—1881no—
1317C24—1881no—
1318C24C23×D4711yescharacteristic
1319C24C23×D4711yescharacteristic
1320C24C23×D4711yescharacteristic
1321C24C23×D4711yescharacteristic
1322#41—18816no—
1323C2×Q8—22no—
1324C2×Q8—41no—
1325C2×Q8—41no—
1326C2×Q8—942no—
1327C2×Q8—942no—
1328C2×Q8—1881no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—41no—
1335C2×D4—41no—
1336C2×D4—41no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—474no—
1348C2×D4—942no—
1349C2×D4—942no—
1350C2×D4—942no—
1351C2×D4—942no—
1352C2×D4—942no—
1353C2×D4—942no—
1354C2×D4—942no—
1355C2×D4—942no—
1356C2×D4—942no—
1357C2×D4—942no—
1358C2×D4—942no—
1359C2×D4—942no—
1360C2×D4—942no—
1361C2×D4—942no—
1362C2×D4—942no—
1363C2×D4—942no—
1364C2×D4—942no—
1365C2×D4—942no—
1366C2×D4—1881no—
1367C2×D4—1881no—
1368C2×D4—1881no—
1369C2×D4—1881no—
1370C2×D4—1881no—
1371C2×D4—1881no—
1372C2×D4—1881no—
1373C2×D4—1881no—
1374C2×D4—1881no—
1375C2×D4—1881no—
1376C2×D4—1881no—
1377C2×D4—1881no—
1378C2×D4—1881no—
1379C2×D4—1881no—
1380C2×D4—1881no—
1381C2×D4—1881no—
1382C2×D4—1881no—
1383C2×D4—1881no—
1384C2×D4—1881no—
1385C2×D4—1881no—
1386C2×D4—1881no—
1387C2×D4—1881no—
1388C2×D4—1881no—
1389C2×D4—1881no—
1390C2×D4—1881no—
1391C2×D4—1881no—
1392C2×D4—1881no—
1393C2×D4—1881no—
1394C2×D4—1881no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—41no—
1398C22×C4—41no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—471no—
1402C22×C4—471no—
1403C22×C4—471no—
1404C22×C4—474no—
1405C22×C4—474no—
1406C22×C4—471no—
1407C22×C4—471no—
1408C22×C4—471no—
1409C22×C4—471no—
1410C22×C4—471no—
1411C22×C4—471no—
1412C22×C4—471no—
1413C22×C4—471no—
1414C22×C4—471no—
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—1881no—
1427C22×C4—1881no—
1428C22×C4—1881no—
1429C22×C4—1881no—
1430C22×C4—1881no—
1431C22×C4—1881no—
1432C22×C4—1881no—
1433C22×C4—1881no—
1434C22×C4—18816no—
1435C22×C4—1881no—
1436C22×C4—1881no—
1437C22×C4—1881no—
1438C22×C4C23×D4711yescharacteristic
1439C22×C4C23×D4711yescharacteristic
1440C22×C4C23×D4711yescharacteristic
1441C22×C4C23×D4711yescharacteristic
1442C22×C4C23×D4711yescharacteristic
1443C22×C4C23×D4711yescharacteristic
1444C22×C4C23×D4711yescharacteristic
1445C22×C4C23×D4711yescharacteristic
1446C22×C4C23×D4711yescharacteristic
1447C22×C4C23×D4711yescharacteristic
1448C22×C4C23×D4711yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—474no—
1453C4⋊C4—942no—
1454C4⋊C4—942no—
1455C4⋊C4—942no—
1456C4⋊C4—942no—
1457C4⋊C4—942no—
1458C4⋊C4—942no—
1459C4⋊C4—942no—
1460C4⋊C4—942no—
1461C4⋊C4—942no—
1462C4⋊C4—942no—
1463C4⋊C4—1881no—
1464C4⋊C4—1881no—
1465C4⋊C4—1881no—
1466C4⋊C4—1881no—
1467C4⋊C4—1881no—
1468C4⋊C4—1881no—
1469C4⋊C4—1881no—
1470C4⋊C4—1881no—
1471C4⋊C4—1881no—
1472C4⋊C4—1881no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—22no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—474no—
1488C22⋊C4—474no—
1489C22⋊C4—942no—
1490C22⋊C4—942no—
1491C22⋊C4—942no—
1492C22⋊C4—942no—
1493C22⋊C4—942no—
1494C22⋊C4—942no—
1495C22⋊C4—942no—
1496C22⋊C4—942no—
1497C22⋊C4—942no—
1498C22⋊C4—942no—
1499C22⋊C4—942no—
1500C22⋊C4—942no—
1501C22⋊C4—942no—
1502C22⋊C4—942no—
1503C22⋊C4—942no—
1504C22⋊C4—942no—
1505C22⋊C4—942no—
1506C22⋊C4—942no—
1507C22⋊C4—942no—
1508C22⋊C4—1881no—
1509C22⋊C4—1881no—
1510C22⋊C4—1881no—
1511C22⋊C4—1881no—
1512C22⋊C4—1881no—
1513C22⋊C4—1881no—
1514C22⋊C4—1881no—
1515C22⋊C4—1881no—
1516C22⋊C4—1881no—
1517C22⋊C4—1881no—
1518C22⋊C4—1881no—
1519C22⋊C4—1881no—
1520C22⋊C4—1881no—
1521C22⋊C4—1881no—
1522C22⋊C4—1881no—
1523C22⋊C4—1881no—
1524C22⋊C4—1881no—
1525C22⋊C4—1881no—
1526C22⋊C4—1881no—
1527C22⋊C4—1881no—
1528C22⋊C4—1881no—
1529C22⋊C4—1881no—
1530C22⋊C4—1881no—
1531C22⋊C4—1881no—
1532C22⋊C4—1881no—
1533C42—41no—
1534C42—41no—
1535C42—942no—
1536C42—942no—
1537C42—1881no—
1538C42—1881no—
1539C42D4×D4714yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—472no—
1568C23—472no—
1569C23—472no—
1570C23—941no—
1571C23—941no—
1572C23—941no—
1573C23—941no—
1574C23—941no—
1575C23—941no—
1576C23—941no—
1577C23—941no—
1578C23—941no—
1579C23—941no—
1580C23—941no—
1581C23—941no—
1582C23—941no—
1583C23—941no—
1584C23—941no—
1585C23—941no—
1586C23—941no—
1587C23—941no—
1588C23—941no—
1589C23—941no—
1590C23—941no—
1591C23—941no—
1592C23—941no—
1593C23—941no—
1594C23—941no—
1595C23—3762no—
1596C23—3762no—
1597C23—3762no—
1598C23—3762no—
1599C23—3762no—
1600C23—3762no—
1601C23—1884no—
1602C23—1884no—
1603C23—1884no—
1604C23—1884no—
1605C23—1884no—
1606C23—1884no—
1607C23—1884no—
1608C23—1884no—
1609C23#1309406912yes—
1610C23C24×D4711yescharacteristic
1611Q8—82no—
1612Q8—1884no—
1613D4—44no—
1614D4—82no—
1615D4—82no—
1616D4—82no—
1617D4—82no—
1618D4—82no—
1619D4—3762no—
1620D4—3762no—
1621D4—3762no—
1622D4—3762no—
1623D4—3762no—
1624D4—3762no—
1625D4—3762no—
1626D4—3762no—
1627D4—3762no—
1628D4—1884no—
1629D4—1884no—
1630D4—1884no—
1631D4—1884no—
1632D4—1884no—
1633D4—1884no—
1634D4—1884no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—44no—
1666C2×C4—44no—
1667C2×C4—472no—
1668C2×C4—472no—
1669C2×C4—472no—
1670C2×C4—948no—
1671C2×C4—941no—
1672C2×C4—941no—
1673C2×C4—941no—
1674C2×C4—941no—
1675C2×C4—941no—
1676C2×C4—941no—
1677C2×C4—941no—
1678C2×C4—941no—
1679C2×C4—941no—
1680C2×C4—941no—
1681C2×C4—941no—
1682C2×C4—941no—
1683C2×C4—941no—
1684C2×C4—941no—
1685C2×C4—941no—
1686C2×C4—941no—
1687C2×C4—941no—
1688C2×C4—941no—
1689C2×C4—941no—
1690C2×C4—941no—
1691C2×C4—941no—
1692C2×C4—941no—
1693C2×C4—941no—
1694C2×C4—941no—
1695C2×C4—941no—
1696C2×C4—941no—
1697C2×C4—941no—
1698C2×C4—941no—
1699C2×C4—941no—
1700C2×C4—941no—
1701C2×C4—941no—
1702C2×C4—941no—
1703C2×C4—941no—
1704C2×C4—3762no—
1705C2×C4—3762no—
1706C2×C4—1884no—
1707C2×C4—1884no—
1708C2×C4—1884no—
1709C2×C4—1884no—
1710C2×C4—1884no—
1711C2×C4C2×D4×D4712yes—
1712C2×C4C2×D4×D4712yes—
1713C2×C4C2×D4×D4712yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—41no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—942no—
1743C22—942no—
1744C22—942no—
1745C22—942no—
1746C22—942no—
1747C22—942no—
1748C22—942no—
1749C22—942no—
1750C22—942no—
1751C22—3768no—
1752C22—18816no—
1753C22—1881no—
1754C22—1881no—
1755C22—1881no—
1756C22—1881no—
1757C22—1881no—
1758C22—1881no—
1759C22—1881no—
1760C22—1881no—
1761C22—1881no—
1762C22—1881no—
1763C22—1881no—
1764C22—1881no—
1765C22—1881no—
1766C22—1881no—
1767C22—1881no—
1768C22—1881no—
1769C22—1881no—
1770C22—1881no—
1771C22—1881no—
1772C22C22×D4×D4711yescharacteristic
1773C22H(5,𝔽2)×D4711yescharacteristic
1774C22H(5,𝔽2)×D4711yescharacteristic
1775C22C2×#1309406911yescharacteristic
1776C22#1568995911yescharacteristic
1777C22#1568995911yescharacteristic
1778C22#1568995911yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—22no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—942no—
1791C4—942no—
1792C4—942no—
1793C4—1881no—
1794C4—1881no—
1795C4—1881no—
1796C4—1881no—
1797C4—1881no—
1798C4—1881no—
1799C4—1881no—
1800C4—1881no—
1801C4—1881no—
1802C2—42no—
1803C2—81no—
1804C2—81no—
1805C2—81no—
1806C2—3761no—
1807C2—1882no—
1808C2—1882no—
1809C2—1882no—
1810C2#2025671511yescharacteristic
1811C2#2025702211yescharacteristic
1812C2#2025705311yescharacteristic
1813C2#2025756211yescharacteristic
1814C2#2025757311yescharacteristic
1815C2#2025765111yescharacteristic
1816C2#2025768911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2544C2
hypercenter#2544D47
hypocenterC47#36724
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2544

Complements

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

NH ≅ G/Ntype
1. C2×#15689707C2semidirect
2. C2×#15689632C2semidirect
3. #20251679C2semidirect
4. #20251669C2semidirect
5. #20250054C2semidirect
6. #20250009C2semidirect
7. #20249983C2semidirect
8. #20249970C2semidirect
9. #20249804C2semidirect
10. #20249756C2semidirect
11. #20249746C2semidirect
12. #20249737C2semidirect
13. #20249721C2semidirect
14. #20249719C2semidirect
15. #20249719C2semidirect
16. #20249710C2semidirect
17. #20249634C2semidirect
18. #20249609C2semidirect
19. #20249601C2semidirect
20. #20249601C2semidirect
21. #20249276C2semidirect
22. #20249231C2semidirect
23. #20249077C2semidirect
24. #20249009C2semidirect
25. #20248979C2semidirect
26. #20248972C2semidirect
27. #20248276C2semidirect
28. #20246730C2semidirect
29. #20246705C2semidirect
30. #20246026C2semidirect
31. C47×#2544C2semidirect
33. C23×C4×D47C22semidirect
35. C2×#13094018C22semidirect
36. C2×#13094017C22semidirect
40. C2×#13094008C22semidirect
44. C2×#13094006C22semidirect
45. C2×#13094002C22semidirect
46. C2×#13094001C22semidirect
47. C2×#13094001C22semidirect
48. C2×#13094000C22semidirect
56. C2×#13093996C22semidirect
63. C2×#13093992C22semidirect
64. C2×#13093992C22semidirect
65. C2×#13093992C22semidirect
66. C2×#13093992C22semidirect
69. C2×C4×C22⋊D47C22semidirect
70. C2×(C22⋊D47)⋊C4C22semidirect
71. C2×#13093981C22semidirect
72. C2×C22⋊C4×D47C22semidirect
73. #15689064C22semidirect
74. #15689059C22semidirect
75. #15689057C22semidirect
76. #15689054C22semidirect
77. #15689053C22semidirect
78. #15689052C22semidirect
79. #15689052C22semidirect
80. #15689049C22semidirect
81. #15689047C22semidirect
82. #15689046C22semidirect
83. #15689046C22semidirect
84. #15689046C22semidirect
85. #15689045C22semidirect
86. #15689045C22semidirect
87. #15689042C22semidirect
91. #15689039C22semidirect
92. #15689039C22semidirect
93. #15689039C22semidirect
94. #15689039C22semidirect
98. #15689038C22semidirect
100. #15689037C22semidirect
101. #15689037C22semidirect
102. #15689037C22semidirect
103. #15689036C22semidirect
104. #15689035C22semidirect
105. #15689034C22semidirect
114. #15689031C22semidirect
115. #15689031C22semidirect
116. #15689031C22semidirect
117. #15689027C22semidirect
123. #15689023C22semidirect
124. #15689023C22semidirect
125. #15689023C22semidirect
126. #15689021C22semidirect
127. #15689019C22semidirect
128. #15689019C22semidirect
129. #15689017C22semidirect
130. #15689017C22semidirect
131. #15689017C22semidirect
132. #15689017C22semidirect
133. #15689016C22semidirect
134. #15689015C22semidirect
135. #15689014C22semidirect
136. #15689014C22semidirect
137. #15689014C22semidirect
138. #15689014C22semidirect
139. #15689014C22semidirect
140. #15689014C22semidirect
141. #15689011C22semidirect
142. #15689011C22semidirect
143. #15689008C22semidirect
144. #15689005C22semidirect
146. #15689003C22semidirect
148. #15689002C22semidirect
154. #15688999C22semidirect
155. #15688999C22semidirect
156. #15688999C22semidirect
157. #15688998C22semidirect
158. #15688997C22semidirect
159. #15688997C22semidirect
160. #15688996C22semidirect
161. #15688996C22semidirect
162. #15688995C22semidirect
163. #15688985C22semidirect
164. #15688985C22semidirect
165. #15688985C22semidirect
166. #15688985C22semidirect
167. #15688982C22semidirect
168. #15688982C22semidirect
169. #15688982C22semidirect
170. #15688981C22semidirect
171. #15688978C22semidirect
172. #15688978C22semidirect
173. #15688969C22semidirect
175. C2×#124×C47C22semidirect
176. C2×#124×C47C22semidirect
177. C2×C4×D4×C47C22semidirect
179. C47×#394C22semidirect
180. C47×#394C22semidirect
181. C47×#394C22semidirect
182. C47×#391C22semidirect
183. C47×#390C22semidirect
185. C47×#386C22semidirect
186. C47×#386C22semidirect
187. C47×#386C22semidirect
188. C4×C4⋊C4×C47C22semidirect
253. C4×D188D4semidirect
920. #2544D47semidirect
947. C2×#124C2×D47semidirect
948. C2×#124C2×D47semidirect
982. C2×C4×D4C2×D47semidirect
1016. #394C2×D47semidirect
1017. #394C2×D47semidirect
1018. #394C2×D47semidirect
1034. #391C2×D47semidirect
1043. #390C2×D47semidirect
1076. #386C2×D47semidirect
1077. #386C2×D47semidirect
1078. #386C2×D47semidirect
1095. C4×C4⋊C4C2×D47semidirect
1097. C47#36724semidirect

Maximal subgroups

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

subgroupindex
C2×#156897072
C2×#156896322
#202516792
#202516692
#202500542
#202500092
#202499832
#202499702
#202498042
#202497562
#202497462
#202497372
#202497212
#202497192
#202497102
#202496342
#202496092
#202496012
#202492762
#202492312
#202490772
#202490092
#202489792
#202489722
#202482762
#202467302
#202467052
#202460262
C47×#25442
#3672447