Finite Group Databasebeta

← #26423698

Subgroups — #26423698

Order 12032.

2262 conjugacy classes of subgroups.

The subgroup lattice has 1624 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689748C211yesmaximal, characteristic, complemented
2C2×#15689712C211yesmaximal, characteristic
3#20251739C211yesmaximal, characteristic, complemented
4#20251690C211yesmaximal, characteristic, complemented
5#20249989C211yesmaximal, characteristic, complemented
6#20249986C211yesmaximal, characteristic, complemented
7#20249959C211yesmaximal, characteristic, complemented
8#20249833C211yesmaximal, characteristic, complemented
9#20249832C211yesmaximal, characteristic, complemented
10#20249816C211yesmaximal, characteristic, complemented
11#20249811C211yesmaximal, characteristic, complemented
12#20249736C211yesmaximal, characteristic, complemented
13#20249733C211yesmaximal, characteristic, complemented
14#20249732C211yesmaximal, characteristic, complemented
15#20249730C211yesmaximal, characteristic, complemented
16#20249675C211yesmaximal, characteristic, complemented
17#20249672C211yesmaximal, characteristic, complemented
18#20249637C211yesmaximal, characteristic, complemented
19#20249636C211yesmaximal, characteristic, complemented
20#20249503C211yesmaximal, characteristic, complemented
21#20249320C211yesmaximal, characteristic, complemented
22#20248569C211yesmaximal, characteristic, complemented
23#20248567C211yesmaximal, characteristic, complemented
24#20246842C211yesmaximal, characteristic, complemented
25#20246834C211yesmaximal, characteristic, complemented
26#20246786C211yesmaximal, characteristic, complemented
27#20246782C211yesmaximal, characteristic, complemented
28#20246777C211yesmaximal, characteristic, complemented
29#20246777C211yesmaximal, characteristic, complemented
30#388×D47C211yesmaximal, characteristic, complemented
31C47×#2698C211yesmaximal, characteristic, complemented
32#15689748—28no—
33#15689712—28no—
34C2×#13094023C2211yescharacteristic, complemented
35C2×#13094019C2211yescharacteristic
36C2×#13094012C2211yescharacteristic
37C2×#13094012C2211yescharacteristic, complemented
38C2×#13094010C2211yescharacteristic
39C2×#13094009C2211yescharacteristic
40C2×#13094009C2211yescharacteristic
41C2×#13094009C2211yescharacteristic
42C2×#13094008C2211yescharacteristic
43C2×#13094007C2211yescharacteristic
44C2×#13094006C2211yescharacteristic
45C2×#13094004C2211yescharacteristic
46C2×#13094004C2211yescharacteristic
47C2×#13094003C2211yescharacteristic
48C2×#13094002C2211yescharacteristic
49C2×#13094002C2211yescharacteristic
50C2×#13094002C2211yescharacteristic
51C2×#13094002C2211yescharacteristic
52C2×#13094002C2211yescharacteristic
53C2×#13094002C2211yescharacteristic, complemented
54C2×#13094001C2211yescharacteristic
55C2×#13094001C2211yescharacteristic
56C2×#13094000C2211yescharacteristic
57C2×#13094000C2211yescharacteristic
58C2×#13094000C2211yescharacteristic, complemented
59C2×#13093999C2211yescharacteristic
60C2×#13093999C2211yescharacteristic
61C2×#13093997C2211yescharacteristic
62C2×#13093994C2211yescharacteristic
63C2×#13093994C2211yescharacteristic
64C2×C4×D188C2211yescharacteristic
65C2×#13093986C2211yescharacteristic
66C2×C4⋊C4×D47C2211yescharacteristic
67C22×(C2×D47)⋊C4C2211yescharacteristic
68C2×C22⋊C4×D47C2211yescharacteristic
69C2×C22⋊C4×D47C2211yescharacteristic
70C2×C22⋊C4×D47C2211yescharacteristic
71C2×C22⋊C4×D47C2211yescharacteristic
72C2×C42×D47C2211yescharacteristic
73#15689065C2211yescharacteristic, complemented
74#15689062C2211yescharacteristic, complemented
75#15689061C2211yescharacteristic, complemented
76#15689060C2211yescharacteristic, complemented
77#15689058C2211yescharacteristic, complemented
78#15689057C2211yescharacteristic, complemented
79#15689057C2211yescharacteristic, complemented
80#15689056C2211yescharacteristic, complemented
81#15689056C2211yescharacteristic, complemented
82#15689056C2211yescharacteristic, complemented
83#15689054C2211yescharacteristic, complemented
84#15689052C2211yescharacteristic
85#15689052C2211yescharacteristic
86#15689052C2211yescharacteristic, complemented
87#15689052C2211yescharacteristic, complemented
88#15689051C2211yescharacteristic
89#15689051C2211yescharacteristic
90#15689050C2211yescharacteristic
91#15689050C2211yescharacteristic
92#15689047C2211yescharacteristic, complemented
93#15689047C2211yescharacteristic, complemented
94#15689045C2211yescharacteristic, complemented
95#15689045C2211yescharacteristic, complemented
96#15689044C2211yescharacteristic, complemented
97#15689044C2211yescharacteristic, complemented
98#15689044C2211yescharacteristic, complemented
99#15689044C2211yescharacteristic, complemented
100#15689043C2211yescharacteristic, complemented
101#15689041C2211yescharacteristic
102#15689041C2211yescharacteristic
103#15689041C2211yescharacteristic, complemented
104#15689040C2211yescharacteristic
105#15689040C2211yescharacteristic
106#15689040C2211yescharacteristic, complemented
107#15689039C2211yescharacteristic
108#15689039C2211yescharacteristic
109#15689038C2211yescharacteristic
110#15689038C2211yescharacteristic
111#15689036C2211yescharacteristic, complemented
112#15689036C2211yescharacteristic, complemented
113#15689036C2211yescharacteristic, complemented
114#15689034C2211yescharacteristic, complemented
115#15689028C2211yescharacteristic, complemented
116#15689027C2211yescharacteristic, complemented
117#15689027C2211yescharacteristic, complemented
118#15689027C2211yescharacteristic, complemented
119#15689024C2211yescharacteristic, complemented
120#15689021C2211yescharacteristic, complemented
121#15689021C2211yescharacteristic, complemented
122#15689020C2211yescharacteristic, complemented
123#15689018C2211yescharacteristic, complemented
124#15689018C2211yescharacteristic, complemented
125#15689017C2211yescharacteristic
126#15689016C2211yescharacteristic
127#15689015C2211yescharacteristic
128#15689015C2211yescharacteristic, complemented
129#15689015C2211yescharacteristic, complemented
130#15689015C2211yescharacteristic, complemented
131#15689015C2211yescharacteristic, complemented
132#15689014C2211yescharacteristic
133#15689013C2211yescharacteristic
134#15689012C2211yescharacteristic
135#15689011C2211yescharacteristic
136#15689007C2211yescharacteristic, complemented
137#15689006C2211yescharacteristic, complemented
138#15689006C2211yescharacteristic, complemented
139#15689002C2211yescharacteristic
140#15689001C2211yescharacteristic
141#15689001C2211yescharacteristic
142#15689001C2211yescharacteristic
143#15689001C2211yescharacteristic
144#15689001C2211yescharacteristic
145#15689001C2211yescharacteristic
146#15689001C2211yescharacteristic
147#15689001C2211yescharacteristic
148#15689001C2211yescharacteristic
149#15689001C2211yescharacteristic
150#15689000C2211yescharacteristic
151#15688997C2211yescharacteristic
152#15688997C2211yescharacteristic
153#15688997C2211yescharacteristic, complemented
154#15688995C2211yescharacteristic
155#15688994C2211yescharacteristic, complemented
156#15688994C2211yescharacteristic, complemented
157#15688994C2211yescharacteristic, complemented
158#15688992C2211yescharacteristic, complemented
159#15688985C2211yescharacteristic
160#15688985C2211yescharacteristic
161#15688984C2211yescharacteristic
162#15688982C2211yescharacteristic
163#15688982C2211yescharacteristic
164#15688982C2211yescharacteristic
165#15688982C2211yescharacteristic
166#15688982C2211yescharacteristic, complemented
167#15688980C2211yescharacteristic
168#15688980C2211yescharacteristic
169#15688980C2211yescharacteristic
170#15688980C2211yescharacteristic
171#15688980C2211yescharacteristic, complemented
172#95×D47C2211yescharacteristic
173#95×D47C2211yescharacteristic
174C2×#126×C47C2211yescharacteristic
175C2×C22⋊Q8×C47C2211yescharacteristic
176C47×#400C2211yescharacteristic, complemented
177C47×#398C2211yescharacteristic, complemented
178C47×#398C2211yescharacteristic, complemented
179C47×#397C2211yescharacteristic
180C47×#397C2211yescharacteristic
181C47×#395C2211yescharacteristic, complemented
182C47×#391C2211yescharacteristic, complemented
183C47×#389C2211yescharacteristic, complemented
184C47×#388C2211yescharacteristic
185C47×#387C2211yescharacteristic, complemented
186C47×#385C2211yescharacteristic
187C47×#382C2211yescharacteristic, complemented
188C47×#381C2211yescharacteristic
189C24×D47C2311yescharacteristic
190C22×Dic94C2311yescharacteristic
191C22×Dic94C2311yescharacteristic
192C22×Dic94C2311yescharacteristic
193C22×Dic94C2311yescharacteristic
194C22×D188C2311yescharacteristic
195C22×D188C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×C22⋊D47C2311yescharacteristic
200C22×C22⋊D47C2311yescharacteristic
201C23×Dic47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209C22×C4×D47C2311yescharacteristic
210C22×C4×D47C2311yescharacteristic
211C22×C4×D47C2311yescharacteristic
212#13094023—42no—
213#13094019—24no—
214#13094012—24no—
215#13094012—42no—
216#13094010—24no—
217#13094009—24no—
218#13094009—42no—
219#13094009—42no—
220#13094008—42no—
221#13094007—42no—
222#13094006—24no—
223#13094004—24no—
224#13094004—24no—
225#13094003—24no—
226#13094002—24no—
227#13094002—24no—
228#13094002—24no—
229#13094002—24no—
230#13094002—24no—
231#13094002—42no—
232#13094001—24no—
233#13094001—24no—
234#13094000—24no—
235#13094000—24no—
236#13094000—42no—
237#13093999—24no—
238#13093999—24no—
239#13093997—24no—
240#13093994—24no—
241#13093994—24no—
242C4×D188—24no—
243#13093986—24no—
244C2×C4⋊Dic47C2311yescharacteristic
245C2×C4⋊Dic47C2311yescharacteristic
246C2×C4⋊Dic47C2311yescharacteristic
247C2×C4⋊Dic47C2311yescharacteristic
248C2×C4⋊Dic47C2311yescharacteristic
249C2×C4⋊Dic47C2311yescharacteristic
250C2×C4⋊Dic47C2311yescharacteristic
251C2×C4⋊Dic47C2311yescharacteristic
252C2×C4⋊Dic47C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C2×Dic47⋊C4C2311yescharacteristic
257C2×Dic47⋊C4C2311yescharacteristic
258C2×Dic47⋊C4C2311yescharacteristic
259C2×Dic47⋊C4C2311yescharacteristic
260C2×Dic47⋊C4C2311yescharacteristic
261C2×Dic47⋊C4C2311yescharacteristic
262C2×Dic47⋊C4C2311yescharacteristic
263C2×Dic47⋊C4C2311yescharacteristic
264C2×Dic47⋊C4C2311yescharacteristic
265C2×Dic47⋊C4C2311yescharacteristic
266C2×Dic47⋊C4C2311yescharacteristic
267C2×Dic47⋊C4C2311yescharacteristic
268C2×Dic47⋊C4C2311yescharacteristic
269C2×Dic47⋊C4C2311yescharacteristic
270C2×Dic47⋊C4C2311yescharacteristic
271C4⋊C4×D47—42no—
272C2×C22⋊Dic47C2311yescharacteristic
273C2×C22⋊Dic47C2311yescharacteristic
274C2×C22⋊Dic47C2311yescharacteristic
275C2×C22⋊Dic47C2311yescharacteristic
276C2×(C2×D47)⋊C4—24no—
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(C2×D47)⋊C4C2311yescharacteristic
282C2×(C2×D47)⋊C4C2311yescharacteristic
283C2×(C2×D47)⋊C4C2311yescharacteristic
284C2×(C2×D47)⋊C4C2311yescharacteristic
285C2×(C2×D47)⋊C4C2311yescharacteristic
286C2×(C2×D47)⋊C4C2311yescharacteristic
287C2×(C2×D47)⋊C4C2311yescharacteristic
288C2×(C2×D47)⋊C4C2311yescharacteristic
289C2×(C2×D47)⋊C4C2311yescharacteristic
290C2×(C2×D47)⋊C4C2311yescharacteristic
291C2×(C2×D47)⋊C4C2311yescharacteristic
292C2×(C2×D47)⋊C4C2311yescharacteristic
293C2×(C2×D47)⋊C4C2311yescharacteristic
294C2×(C2×D47)⋊C4C2311yescharacteristic
295C2×(C2×D47)⋊C4C2311yescharacteristic
296C2×(C2×D47)⋊C4C2311yescharacteristic
297C2×(C2×D47)⋊C4C2311yescharacteristic
298C2×(C2×D47)⋊C4C2311yescharacteristic
299C2×(C2×D47)⋊C4C2311yescharacteristic
300C2×(C2×D47)⋊C4C2311yescharacteristic
301C2×(C2×D47)⋊C4C2311yescharacteristic
302C2×(C2×D47)⋊C4C2311yescharacteristic
303C2×(C2×D47)⋊C4C2311yescharacteristic
304C2×(C2×D47)⋊C4C2311yescharacteristic
305C2×(C2×D47)⋊C4C2311yescharacteristic
306C2×(C2×D47)⋊C4C2311yescharacteristic
307C2×(C2×D47)⋊C4C2311yescharacteristic
308C2×(C2×D47)⋊C4C2311yescharacteristic
309C2×(C2×D47)⋊C4C2311yescharacteristic
310C2×(C2×D47)⋊C4C2311yescharacteristic
311C2×(C2×D47)⋊C4C2311yescharacteristic
312C2×(C2×D47)⋊C4C2311yescharacteristic
313C22⋊C4×D47—24no—
314C22⋊C4×D47—42no—
315C22⋊C4×D47—42no—
316C22⋊C4×D47D418yes—
317C2×C4×Dic47C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C42×D47—42no—
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C47⋊#95C2311yescharacteristic
339C47⋊#95C2311yescharacteristic
340C47⋊#95C2311yescharacteristic
341C47⋊#95C2311yescharacteristic
342C47⋊#95C2311yescharacteristic
343C47⋊#95C2311yescharacteristic
344C47⋊#95C2311yescharacteristic
345C47⋊#95C2311yescharacteristic
346C47⋊#95C2311yescharacteristic
347C47⋊#95C2311yescharacteristic
348C22×Q8×C47C2311yescharacteristic
349C23×C4×C47C2311yescharacteristic
350#126×C47—24no—
351C22⋊Q8×C47—24no—
352C2×C4⋊C4×C47C2311yescharacteristic
353C2×C4⋊C4×C47C2311yescharacteristic
354C2×C4⋊C4×C47C2311yescharacteristic
355C2×C4⋊C4×C47C2311yescharacteristic
356C2×C4⋊C4×C47C2311yescharacteristic
357C2×C4⋊C4×C47C2311yescharacteristic
358C2×C4⋊C4×C47C2311yescharacteristic
359C2×C4⋊C4×C47C2311yescharacteristic
360C2×C4⋊C4×C47C2311yescharacteristic
361C2×C4⋊C4×C47C2311yescharacteristic
362C2×C4⋊C4×C47C2311yescharacteristic
363C2×C22⋊C4×C47C2311yescharacteristic
364C2×C22⋊C4×C47C2311yescharacteristic
365C2×C22⋊C4×C47C2311yescharacteristic
366C2×C22⋊C4×C47C2311yescharacteristic
367C2×C22⋊C4×C47C2311yescharacteristic
368C2×C22⋊C4×C47C2311yescharacteristic
369C2×C42×C47C2311yescharacteristic
370C2×C42×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376#95×C47C2311yescharacteristic
377#95×C47C2311yescharacteristic
378#95×C47C2311yescharacteristic
379#95×C47C2311yescharacteristic
380#95×C47C2311yescharacteristic
381#95×C47C2311yescharacteristic
382#95×C47C2311yescharacteristic
383#95×C47C2311yescharacteristic
384#95×C47C2311yescharacteristic
385C24×C47C2411yescharacteristic
386C23×D47—22no—
387C23×D47—22no—
388C23×D47—41no—
389C23×D47—41no—
390C23×D47—41no—
391C23×D47—41no—
392C23×D47C2×D414yes—
393C23×D47C2411yescharacteristic
394C23×D47C2411yescharacteristic
395C23×D47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C2×Q8×C47—22no—
398C2×Q8×C47—41no—
399C2×Q8×C47—41no—
400C22×C4×C47—22no—
401C22×C4×C47—41no—
402C22×C4×C47—41no—
403C22×C4×C47C2411yescharacteristic
404C22×C4×C47C2411yescharacteristic
405C22×C4×C47C2411yescharacteristic
406C22×C4×C47C2411yescharacteristic
407C22×C4×C47C2411yescharacteristic
408C22×C4×C47C2411yescharacteristic
409C22×C4×C47C2411yescharacteristic
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C2×C22⋊D47—22no—
418C2×C22⋊D47—22no—
419C2×C22⋊D47—41no—
420C2×C22⋊D47—41no—
421C2×C22⋊D47—41no—
422C2×C22⋊D47—41no—
423C22×Dic47—22no—
424C22×Dic47—41no—
425C22×Dic47—41no—
426C22×Dic47C2411yescharacteristic
427C22×Dic47C2411yescharacteristic
428C22×Dic47C2411yescharacteristic
429C22×Dic47C2411yescharacteristic
430C22×Dic47C2411yescharacteristic
431C22×Dic47C2411yescharacteristic
432C22×Dic47C2411yescharacteristic
433C22×Dic47C2411yescharacteristic
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C2×D188—22no—
439C2×D188—22no—
440C2×D188—22no—
441C2×D188—22no—
442C2×D188—22no—
443C2×D188—22no—
444C2×D188—22no—
445C2×D188—22no—
446C2×D188—22no—
447C2×D188—41no—
448C2×D188—41no—
449C2×D188—41no—
450C2×D188—41no—
451C2×D188—41no—
452C2×D188—41no—
453C2×C4×D47—22no—
454C2×C4×D47—22no—
455C2×C4×D47—22no—
456C2×C4×D47—22no—
457C2×C4×D47—22no—
458C2×C4×D47—22no—
459C2×C4×D47—22no—
460C2×C4×D47—22no—
461C2×C4×D47—22no—
462C2×C4×D47—22no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×D47—41no—
468C2×C4×D47—41no—
469C2×C4×D47—41no—
470C2×C4×D47—41no—
471C2×C4×D47—41no—
472C2×C4×D47—41no—
473C2×C4×D47—41no—
474C2×C4×D47—41no—
475C2×C4×D47—41no—
476C2×C4×D47—41no—
477C2×C4×D47—41no—
478C2×C4×D47—41no—
479C2×C4×D47—41no—
480C2×C4×D47—41no—
481C2×C4×D47C2×D414yes—
482C2×C4×D47C2×D414yes—
483C2×Dic94—22no—
484C2×Dic94—22no—
485C2×Dic94—22no—
486C2×Dic94—22no—
487C2×Dic94—41no—
488C2×Dic94—41no—
489C2×Dic94—41no—
490C2×Dic94—41no—
491C2×Dic94—41no—
492C2×Dic94—41no—
493C2×Dic94—41no—
494C2×Dic94—41no—
495C4⋊C4×C47—22no—
496C4⋊C4×C47—22no—
497C4⋊C4×C47—22no—
498C4⋊C4×C47—22no—
499C4⋊C4×C47—22no—
500C4⋊C4×C47—22no—
501C4⋊C4×C47—22no—
502C4⋊C4×C47—41no—
503C4⋊C4×C47—41no—
504C4⋊C4×C47—41no—
505C4⋊C4×C47—41no—
506C22⋊C4×C47—22no—
507C22⋊C4×C47—22no—
508C22⋊C4×C47—22no—
509C22⋊C4×C47—22no—
510C22⋊C4×C47—41no—
511C22⋊C4×C47C2×D414yes—
512C42×C47—22no—
513C42×C47—22no—
514C22⋊Dic47—22no—
515C22⋊Dic47—22no—
516C22⋊Dic47—41no—
517C22⋊Dic47C2×D414yes—
518(C2×D47)⋊C4—22no—
519(C2×D47)⋊C4—22no—
520(C2×D47)⋊C4—22no—
521(C2×D47)⋊C4—22no—
522(C2×D47)⋊C4—22no—
523(C2×D47)⋊C4—22no—
524(C2×D47)⋊C4—22no—
525(C2×D47)⋊C4—22no—
526(C2×D47)⋊C4—22no—
527(C2×D47)⋊C4—22no—
528(C2×D47)⋊C4—22no—
529(C2×D47)⋊C4—22no—
530(C2×D47)⋊C4—22no—
531(C2×D47)⋊C4—22no—
532(C2×D47)⋊C4—22no—
533(C2×D47)⋊C4—22no—
534(C2×D47)⋊C4—22no—
535(C2×D47)⋊C4—22no—
536(C2×D47)⋊C4—22no—
537(C2×D47)⋊C4—22no—
538(C2×D47)⋊C4—41no—
539(C2×D47)⋊C4—41no—
540(C2×D47)⋊C4—41no—
541(C2×D47)⋊C4—41no—
542(C2×D47)⋊C4—41no—
543(C2×D47)⋊C4—41no—
544(C2×D47)⋊C4—41no—
545(C2×D47)⋊C4—41no—
546(C2×D47)⋊C4—41no—
547(C2×D47)⋊C4—41no—
548(C2×D47)⋊C4—41no—
549(C2×D47)⋊C4—41no—
550(C2×D47)⋊C4—41no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4C2×D414yes—
553(C2×D47)⋊C4C2×D414yes—
554C4⋊Dic47—22no—
555C4⋊Dic47—22no—
556C4⋊Dic47—22no—
557C4⋊Dic47—22no—
558C4⋊Dic47—22no—
559C4⋊Dic47—22no—
560C4⋊Dic47—41no—
561C4⋊Dic47—41no—
562C4⋊Dic47—41no—
563Dic47⋊C4—22no—
564Dic47⋊C4—22no—
565Dic47⋊C4—22no—
566Dic47⋊C4—22no—
567Dic47⋊C4—22no—
568Dic47⋊C4—22no—
569Dic47⋊C4—22no—
570Dic47⋊C4—22no—
571Dic47⋊C4—22no—
572Dic47⋊C4—22no—
573Dic47⋊C4—22no—
574Dic47⋊C4—41no—
575Dic47⋊C4—41no—
576Dic47⋊C4—41no—
577Dic47⋊C4—41no—
578Dic47⋊C4—41no—
579Dic47⋊C4—41no—
580Dic47⋊C4—41no—
581C4×Dic47—22no—
582C4×Dic47—22no—
583C4×Dic47—41no—
584C4×Dic47—41no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47—21no—
589C23×C47—21no—
590C23×C47—21no—
591C23×C47C22×D412yes—
592C23×C47C2511yescharacteristic
593C22×D47—21no—
594C22×D47—21no—
595C22×D47—21no—
596C22×D47—21no—
597C22×D47—21no—
598C22×D47—21no—
599C22×D47—21no—
600C22×D47—21no—
601C22×D47—21no—
602C22×D47—21no—
603C22×D47—28no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—21no—
608C22×D47—21no—
609C22×D47—21no—
610C22×D47—21no—
611C22×D47—21no—
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—44no—
619C22×D47—44no—
620C22×D47—82no—
621C22×D47—82no—
622C22×D47—82no—
623C22×D47—82no—
624C22×D47C22×D412yes—
625C22×D47C22×D412yes—
626C22×D472−1+412yes—
627C22×D472−1+412yes—
628Q8×C47—82no—
629C2×C4×C47—21no—
630C2×C4×C47—21no—
631C2×C4×C47—21no—
632C2×C4×C47—21no—
633C2×C4×C47—21no—
634C2×C4×C47—21no—
635C2×C4×C47—21no—
636C2×C4×C47—21no—
637C2×C4×C47—21no—
638C2×C4×C47—21no—
639C2×C4×C47—21no—
640C2×C4×C47—21no—
641C2×C4×C47—21no—
642C2×C4×C47—21no—
643C2×C4×C47—21no—
644C2×C4×C47—21no—
645C2×C4×C47—21no—
646C2×C4×C47—21no—
647C2×C4×C47—21no—
648C2×C4×C47—21no—
649C2×C4×C47—21no—
650C2×C4×C47—21no—
651C2×C4×C47—21no—
652C2×C4×C47—21no—
653C2×C4×C47—21no—
654C2×C4×C47—21no—
655C2×C4×C47—21no—
656C2×C4×C47—21no—
657C2×C4×C47—21no—
658C2×C4×C47—21no—
659C2×C4×C47—21no—
660C2×C4×C47—21no—
661C2×C4×C47—21no—
662C2×C4×C47—21no—
663C2×C4×C47—21no—
664C2×C4×C47—21no—
665C2×C4×C47—21no—
666C2×C4×C47—21no—
667C2×C4×C47—21no—
668C2×C4×C47—82no—
669C2×C4×C47C22×D412yes—
670C2×C4×C47C22×D412yes—
671C2×C4×C47H(5,𝔽2)12yes—
672C22⋊D47—82no—
673C22⋊D47—82no—
674C2×Dic47—21no—
675C2×Dic47—21no—
676C2×Dic47—21no—
677C2×Dic47—21no—
678C2×Dic47—21no—
679C2×Dic47—21no—
680C2×Dic47—21no—
681C2×Dic47—21no—
682C2×Dic47—21no—
683C2×Dic47—21no—
684C2×Dic47—21no—
685C2×Dic47—21no—
686C2×Dic47—21no—
687C2×Dic47—21no—
688C2×Dic47—21no—
689C2×Dic47—21no—
690C2×Dic47—21no—
691C2×Dic47—21no—
692C2×Dic47—21no—
693C2×Dic47—21no—
694C2×Dic47—21no—
695C2×Dic47—21no—
696C2×Dic47—21no—
697C2×Dic47—21no—
698C2×Dic47—21no—
699C2×Dic47—21no—
700C2×Dic47—21no—
701C2×Dic47—21no—
702C2×Dic47—21no—
703C2×Dic47—21no—
704C2×Dic47—21no—
705C2×Dic47—21no—
706C2×Dic47—21no—
707C2×Dic47—82no—
708C2×Dic47C22×D412yes—
709C2×Dic47C22×D412yes—
710C2×Dic47H(5,𝔽2)12yes—
711D188—44no—
712D188—44no—
713D188—82no—
714D188—82no—
715D188—82no—
716C4×D47—44no—
717C4×D47—44no—
718C4×D47—44no—
719C4×D47—44no—
720C4×D47—82no—
721C4×D47—82no—
722C4×D47—82no—
723C4×D47—82no—
724C4×D47—82no—
725C4×D47—82no—
726Dic94—82no—
727Dic94—82no—
728Dic94—82no—
729Dic94—82no—
730#36740—471nomaximal, Sylow
731C22×C47—22no—
732C22×C47—22no—
733C22×C47—22no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47—41no—
737C22×C47—41no—
738C22×C47C23×D411yescharacteristic
739C22×C47C2×H(5,𝔽2)11yescharacteristic
740C22×C47C2×H(5,𝔽2)11yescharacteristic
741C22×C47C2×2−1+411yescharacteristic
742C22×C47C2×2−1+411yescharacteristic
743C22×C47#58511yescharacteristic
744C22×C47#58511yescharacteristic
745C2×D47—22no—
746C2×D47—22no—
747C2×D47—22no—
748C2×D47—22no—
749C2×D47—22no—
750C2×D47—22no—
751C2×D47—22no—
752C2×D47—22no—
753C2×D47—22no—
754C2×D47—41no—
755C2×D47—41no—
756C2×D47—41no—
757C2×D47—41no—
758C2×D47—41no—
759C2×D47—41no—
760C2×D47—41no—
761C2×D47—41no—
762C2×D47—41no—
763C2×D47—41no—
764C2×D47—41no—
765C2×D47—41no—
766C2×D47—41no—
767C2×D47—41no—
768C2×D47—41no—
769C2×D47—41no—
770C2×D47—41no—
771C2×D47—41no—
772C2×D47—88no—
773C2×D47#53614yes—
774C4×C47—22no—
775C4×C47—22no—
776C4×C47—22no—
777C4×C47—41no—
778C4×C47—41no—
779C4×C47—41no—
780C4×C47—41no—
781C4×C47—41no—
782C4×C47—41no—
783C4×C47—41no—
784C4×C47—41no—
785C4×C47—41no—
786C4×C47—41no—
787C4×C47—41no—
788Dic47—22no—
789Dic47—22no—
790Dic47—22no—
791Dic47—41no—
792Dic47—41no—
793Dic47—41no—
794Dic47—41no—
795Dic47—41no—
796Dic47—41no—
797Dic47—41no—
798Dic47—41no—
799Dic47—41no—
800C2×#543—471no—
801C2×#538—471no—
802#2857—471no—
803#2850—471no—
804#2700—471no—
805#2700—471no—
806#2698—471no—
807#2698D4711yescharacteristic, complemented
808#2689—471no—
809#2689—471no—
810#2687—471no—
811#2687—471no—
812#2681—471no—
813#2681—471no—
814#2680—471no—
815#2680—471no—
816#2674—471no—
817#2674—471no—
818#2672—471no—
819#2672—471no—
820#2659—471no—
821#2639—471no—
822#2564—471no—
823#2564—471no—
824#2417—471no—
825#2417—471no—
826#2412—471no—
827#2412—471no—
828#2412—471no—
829#2412—471no—
830C2×#388—471no—
831C2×C47—42no—
832C2×C47C2×#53611yescharacteristic
833C2×C47#349611yescharacteristic
834C2×C47#349611yescharacteristic
835C2×C47#353511yescharacteristic
836C2×C47#353611yescharacteristic
837C2×C47#356111yescharacteristic
838C2×C47#356411yescharacteristic
839D47—24no—
840D47—42no—
841D47—81no—
842D47—81no—
843#543—948no—
844#538—948no—
845C2×C4⋊Q8—471no—
846C2×#126—471no—
847C2×#126C2×D4711yescharacteristic
848C2×#124—471no—
849C2×#124—471no—
850C2×#124—471no—
851C2×#123—471no—
852C2×#123—471no—
853C2×#123—471no—
854C2×#123—471no—
855C2×#123—471no—
856C2×#123—471no—
857C2×C22⋊Q8—471no—
858C2×C22⋊Q8—471no—
859C2×C22⋊Q8—471no—
860C2×C22⋊Q8—471no—
861C2×C22⋊Q8—471no—
862C2×C22⋊Q8—471no—
863C2×C22⋊Q8—471no—
864C2×C22⋊Q8—471no—
865C2×C22⋊Q8—471no—
866C2×C22⋊Q8—471no—
867C2×C22⋊Q8—471no—
868C2×C22⋊Q8—471no—
869C2×C22⋊Q8—471no—
870C2×C22⋊Q8—471no—
871C2×C22⋊Q8C2×D4711yescharacteristic
872C2×#121—471no—
873C2×#121—471no—
874C2×#121—471no—
875C2×#120—471no—
876C2×#120—471no—
877C2×C4×D4—471no—
878C2×C4×D4—471no—
879C22×C4⋊C4—471no—
880C22×C22⋊C4—471no—
881C22×C22⋊C4—471no—
882C22×C22⋊C4—471no—
883C22×C22⋊C4—471no—
884C22×C22⋊C4—471no—
885C22×C42—471no—
886#400—471no—
887#400—471no—
888#400—471no—
889#400C2×D4711yescharacteristic, complemented
890#399—471no—
891#399—471no—
892#398—471no—
893#398—471no—
894#398—471no—
895#398—471no—
896#398—471no—
897#398—471no—
898#398C2×D4711yescharacteristic, complemented
899#398C2×D4711yescharacteristic, complemented
900#397—471no—
901#397—471no—
902#397—471no—
903#397—471no—
904#397—471no—
905#397—471no—
906#397—471no—
907#397—471no—
908#397C2×D4711yescharacteristic
909#397C2×D4711yescharacteristic
910#396—471no—
911#396—471no—
912#396—471no—
913#396—471no—
914#395—471no—
915#395—471no—
916#395—471no—
917#395—471no—
918#395—471no—
919#395C2×D4711yescharacteristic, complemented
920#394—471no—
921#394—471no—
922#394—471no—
923#394—471no—
924#394—471no—
925#394—471no—
926#394—471no—
927#394—471no—
928#394—471no—
929#394—471no—
930#393—471no—
931#393—471no—
932#393—471no—
933#393—471no—
934#391—471no—
935#391—471no—
936#391—471no—
937#391—471no—
938#391C2×D4711yescharacteristic, complemented
939#390—471no—
940#389—471no—
941#389—471no—
942#389—471no—
943#389—471no—
944#389—471no—
945#389C2×D4711yescharacteristic, complemented
946#388—471no—
947#388—471no—
948#388—471no—
949#388—471no—
950#388—471no—
951#388—471no—
952#388—471no—
953#388—471no—
954#388—471no—
955#388—471no—
956#388—471no—
957#388C2×D4711yescharacteristic
958#387—471no—
959#387—471no—
960#387—471no—
961#387C2×D4711yescharacteristic, complemented
962#386—471no—
963#386—471no—
964#386—471no—
965#386—471no—
966#386—471no—
967#386—471no—
968#386—471no—
969#386—471no—
970#386—471no—
971#386—471no—
972#386—471no—
973#386—471no—
974#385—471no—
975#385—471no—
976#385—471no—
977#385—471no—
978#385—471no—
979#385—471no—
980#385—471no—
981#385C2×D4711yescharacteristic
982#384—471no—
983#382C2×D4711yescharacteristic, complemented
984#381—471no—
985#381—471no—
986#381—471no—
987#381C2×D4711yescharacteristic
988#380—471no—
989#380—471no—
990#380—471no—
991#380—471no—
992#380—471no—
993#380—471no—
994#380—471no—
995#380—471no—
996#380—471no—
997#380—471no—
998C2×#95—471no—
999C2×#95—471no—
1000C47#3674011yescharacteristic, complemented, Sylow
1001C25—471no—
1002C22×Q8—471no—
1003C22×Q8—471no—
1004C22×Q8—471no—
1005C22×Q8—471no—
1006C22×Q8C22×D4711yescharacteristic
1007C22×D4—471no—
1008C22×D4—471no—
1009C22×D4—471no—
1010C22×D4—471no—
1011C22×D4—471no—
1012C22×D4—471no—
1013C22×D4—471no—
1014C23×C4—471no—
1015C23×C4—471no—
1016C23×C4—471no—
1017C23×C4—471no—
1018C23×C4—471no—
1019C23×C4—471no—
1020C23×C4—471no—
1021C23×C4—471no—
1022C23×C4—471no—
1023C23×C4—471no—
1024C23×C4—471no—
1025C23×C4C22×D4711yescharacteristic
1026C4⋊Q8—1882no—
1027#126—24no—
1028#126—944no—
1029#124—944no—
1030#124—944no—
1031#124—1882no—
1032#123—944no—
1033#123—944no—
1034#123—1882no—
1035#123—1882no—
1036#123—1882no—
1037#123—1882no—
1038C22⋊Q8—24no—
1039C22⋊Q8—944no—
1040C22⋊Q8—944no—
1041C22⋊Q8—944no—
1042C22⋊Q8—944no—
1043C22⋊Q8—944no—
1044C22⋊Q8—944no—
1045C22⋊Q8—944no—
1046C22⋊Q8—944no—
1047C22⋊Q8—944no—
1048C22⋊Q8—944no—
1049C22⋊Q8—944no—
1050C22⋊Q8—944no—
1051C22⋊Q8—1882no—
1052C22⋊Q8—1882no—
1053#121—944no—
1054#121—944no—
1055#121—944no—
1056#120—944no—
1057#120—944no—
1058C4×D4—944no—
1059C4×D4—944no—
1060C2×C4⋊C4—471no—
1061C2×C4⋊C4—471no—
1062C2×C4⋊C4—471no—
1063C2×C4⋊C4—471no—
1064C2×C4⋊C4—471no—
1065C2×C4⋊C4—471no—
1066C2×C4⋊C4—471no—
1067C2×C4⋊C4—471no—
1068C2×C4⋊C4—471no—
1069C2×C4⋊C4—471no—
1070C2×C4⋊C4—471no—
1071C2×C4⋊C4—471no—
1072C2×C4⋊C4—471no—
1073C2×C4⋊C4—471no—
1074C2×C4⋊C4—471no—
1075C2×C4⋊C4—471no—
1076C2×C4⋊C4—471no—
1077C2×C4⋊C4—471no—
1078C2×C4⋊C4—471no—
1079C2×C4⋊C4—471no—
1080C2×C4⋊C4—471no—
1081C2×C4⋊C4—471no—
1082C2×C4⋊C4—471no—
1083C2×C4⋊C4—471no—
1084C2×C4⋊C4—471no—
1085C2×C4⋊C4—471no—
1086C2×C4⋊C4—471no—
1087C2×C4⋊C4—1882no—
1088C2×C4⋊C4C22×D4711yescharacteristic
1089C2×C4⋊C4C22×D4711yescharacteristic
1090C2×C4⋊C4C22×D4711yescharacteristic
1091C2×C4⋊C4C22×D4711yescharacteristic
1092C2×C4⋊C4C22×D4711yescharacteristic
1093C2×C4⋊C4C22×D4711yescharacteristic
1094C2×C4⋊C4C22×D4711yescharacteristic
1095C2×C4⋊C4C22×D4711yescharacteristic
1096C2×C4⋊C4C22×D4711yescharacteristic
1097C2×C4⋊C4C22×D4711yescharacteristic
1098C2×C4⋊C4C22×D4711yescharacteristic
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—478no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—471no—
1107C2×C22⋊C4—471no—
1108C2×C22⋊C4—471no—
1109C2×C22⋊C4—471no—
1110C2×C22⋊C4—471no—
1111C2×C22⋊C4—471no—
1112C2×C22⋊C4—471no—
1113C2×C22⋊C4—471no—
1114C2×C22⋊C4—471no—
1115C2×C22⋊C4—471no—
1116C2×C22⋊C4—471no—
1117C2×C22⋊C4—471no—
1118C2×C22⋊C4—471no—
1119C2×C22⋊C4—471no—
1120C2×C22⋊C4—471no—
1121C2×C22⋊C4—471no—
1122C2×C22⋊C4—471no—
1123C2×C22⋊C4—471no—
1124C2×C22⋊C4—471no—
1125C2×C22⋊C4—471no—
1126C2×C22⋊C4—471no—
1127C2×C22⋊C4—471no—
1128C2×C22⋊C4—471no—
1129C2×C22⋊C4—471no—
1130C2×C22⋊C4—471no—
1131C2×C22⋊C4—471no—
1132C2×C22⋊C4—471no—
1133C2×C22⋊C4—471no—
1134C2×C22⋊C4—471no—
1135C2×C22⋊C4—471no—
1136C2×C22⋊C4—471no—
1137C2×C22⋊C4—471no—
1138C2×C22⋊C4—471no—
1139C2×C22⋊C4—471no—
1140C2×C22⋊C4—944no—
1141C2×C22⋊C4—944no—
1142C2×C22⋊C4—1882no—
1143C2×C22⋊C4—1882no—
1144C2×C22⋊C4C22×D4711yescharacteristic
1145C2×C22⋊C4C22×D4711yescharacteristic
1146C2×C22⋊C4C22×D4711yescharacteristic
1147C2×C22⋊C4C22×D4711yescharacteristic
1148C2×C22⋊C4C22×D4711yescharacteristic
1149C2×C22⋊C4C22×D4711yescharacteristic
1150C2×C42—471no—
1151C2×C42—471no—
1152C2×C42—471no—
1153C2×C42—471no—
1154C2×C42—1882no—
1155C2×C42C22×D4711yescharacteristic
1156C2×C42C22×D4711yescharacteristic
1157#95—471no—
1158#95—471no—
1159#95—471no—
1160#95—471no—
1161#95—471no—
1162#95—471no—
1163#95—471no—
1164#95—471no—
1165#95—471no—
1166#95—471no—
1167#95—471no—
1168#95—471no—
1169#95—471no—
1170#95—471no—
1171#95—471no—
1172#95—471no—
1173#95—471no—
1174#95—471no—
1175#95—471no—
1176#95—471no—
1177#95—471no—
1178#95—471no—
1179#95—471no—
1180#95—471no—
1181#95—471no—
1182#95—471no—
1183#95C22×D4711yescharacteristic
1184#95C22×D4711yescharacteristic
1185#95C22×D4711yescharacteristic
1186#95C22×D4711yescharacteristic
1187#95C22×D4711yescharacteristic
1188#95C22×D4711yescharacteristic
1189#95C22×D4711yescharacteristic
1190#95C22×D4711yescharacteristic
1191#95C22×D4711yescharacteristic
1192#95C22×D4711yescharacteristic
1193#95C22×D4711yescharacteristic
1194#95C22×D4711yescharacteristic
1195#95C22×D4711yescharacteristic
1196#95C22×D4711yescharacteristic
1197C24—471no—
1198C24—471no—
1199C24—474no—
1200C24—471no—
1201C24—471no—
1202C24—942no—
1203C24—942no—
1204C24—1881no—
1205C24—1881no—
1206C24—1881no—
1207C24—1881no—
1208C24C23×D4711yescharacteristic
1209C2×Q8—22no—
1210C2×Q8—41no—
1211C2×Q8—41no—
1212C2×Q8—942no—
1213C2×Q8—942no—
1214C2×Q8—942no—
1215C2×Q8—942no—
1216C2×Q8—1881no—
1217C2×Q8—1881no—
1218C2×Q8—1881no—
1219C2×Q8—1881no—
1220C2×Q8—1881no—
1221C2×Q8—1881no—
1222C2×Q8—1881no—
1223C2×Q8—1881no—
1224C2×D4—942no—
1225C2×D4—942no—
1226C2×D4—942no—
1227C2×D4—942no—
1228C2×D4—942no—
1229C2×D4—942no—
1230C2×D4—942no—
1231C2×D4—942no—
1232C2×D4—942no—
1233C2×D4—942no—
1234C2×D4—942no—
1235C2×D4—1881no—
1236C2×D4—1881no—
1237C2×D4—1881no—
1238C2×D4—1881no—
1239C2×D4—1881no—
1240C2×D4—1881no—
1241C2×D4—1881no—
1242C2×D4—1881no—
1243C2×D4—1881no—
1244C2×D4—1881no—
1245C22×C4—22no—
1246C22×C4—41no—
1247C22×C4—41no—
1248C22×C4—471no—
1249C22×C4—471no—
1250C22×C4—471no—
1251C22×C4—474no—
1252C22×C4—474no—
1253C22×C4—471no—
1254C22×C4—471no—
1255C22×C4—471no—
1256C22×C4—471no—
1257C22×C4—471no—
1258C22×C4—471no—
1259C22×C4—471no—
1260C22×C4—471no—
1261C22×C4—471no—
1262C22×C4—942no—
1263C22×C4—942no—
1264C22×C4—942no—
1265C22×C4—942no—
1266C22×C4—942no—
1267C22×C4—942no—
1268C22×C4—942no—
1269C22×C4—942no—
1270C22×C4—942no—
1271C22×C4—942no—
1272C22×C4—942no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4—1881no—
1277C22×C4—1881no—
1278C22×C4—1881no—
1279C22×C4—1881no—
1280C22×C4—1881no—
1281C22×C4—1881no—
1282C22×C4—1881no—
1283C22×C4—1881no—
1284C22×C4—1881no—
1285C22×C4—1881no—
1286C22×C4—1881no—
1287C22×C4—1881no—
1288C22×C4—1881no—
1289C22×C4—1881no—
1290C22×C4—1881no—
1291C22×C4—1881no—
1292C22×C4—1881no—
1293C22×C4C23×D4711yescharacteristic
1294C22×C4C23×D4711yescharacteristic
1295C22×C4C23×D4711yescharacteristic
1296C22×C4C23×D4711yescharacteristic
1297C22×C4C23×D4711yescharacteristic
1298C22×C4C23×D4711yescharacteristic
1299C22×C4C23×D4711yescharacteristic
1300C22×C4C23×D4711yescharacteristic
1301C22×C4C23×D4711yescharacteristic
1302C22×C4C23×D4711yescharacteristic
1303C22×C4C23×D4711yescharacteristic
1304C22×C4C23×D4711yescharacteristic
1305C22×C4C23×D4711yescharacteristic
1306C22×C4C23×D4711yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—22no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—41no—
1315C4⋊C4—41no—
1316C4⋊C4—41no—
1317C4⋊C4—41no—
1318C4⋊C4—942no—
1319C4⋊C4—942no—
1320C4⋊C4—942no—
1321C4⋊C4—942no—
1322C4⋊C4—942no—
1323C4⋊C4—942no—
1324C4⋊C4—942no—
1325C4⋊C4—942no—
1326C4⋊C4—942no—
1327C4⋊C4—942no—
1328C4⋊C4—942no—
1329C4⋊C4—942no—
1330C4⋊C4—942no—
1331C4⋊C4—942no—
1332C4⋊C4—942no—
1333C4⋊C4—942no—
1334C4⋊C4—942no—
1335C4⋊C4—1881no—
1336C4⋊C4—1881no—
1337C4⋊C4—1881no—
1338C4⋊C4—1881no—
1339C4⋊C4—1881no—
1340C4⋊C4—1881no—
1341C4⋊C4—1881no—
1342C4⋊C4—1881no—
1343C4⋊C4—1881no—
1344C4⋊C4—1881no—
1345C22⋊C4—22no—
1346C22⋊C4—22no—
1347C22⋊C4—22no—
1348C22⋊C4—22no—
1349C22⋊C4—41no—
1350C22⋊C4—474no—
1351C22⋊C4—474no—
1352C22⋊C4—474no—
1353C22⋊C4—942no—
1354C22⋊C4—942no—
1355C22⋊C4—942no—
1356C22⋊C4—942no—
1357C22⋊C4—942no—
1358C22⋊C4—942no—
1359C22⋊C4—942no—
1360C22⋊C4—942no—
1361C22⋊C4—942no—
1362C22⋊C4—942no—
1363C22⋊C4—942no—
1364C22⋊C4—942no—
1365C22⋊C4—942no—
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—1881no—
1376C22⋊C4—1881no—
1377C22⋊C4—1881no—
1378C22⋊C4—1881no—
1379C22⋊C4—1881no—
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⋊C4D4×D4714yes—
1391C42—22no—
1392C42—22no—
1393C42—942no—
1394C42—942no—
1395C42—1881no—
1396C42—1881no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—472no—
1404C23—472no—
1405C23—472no—
1406C23—472no—
1407C23—948no—
1408C23—941no—
1409C23—941no—
1410C23—941no—
1411C23—941no—
1412C23—941no—
1413C23—941no—
1414C23—941no—
1415C23—941no—
1416C23—941no—
1417C23—941no—
1418C23—941no—
1419C23—941no—
1420C23—941no—
1421C23—941no—
1422C23—941no—
1423C23—941no—
1424C23—941no—
1425C23—941no—
1426C23—941no—
1427C23—941no—
1428C23—941no—
1429C23—941no—
1430C23—941no—
1431C23—941no—
1432C23—3762no—
1433C23—3762no—
1434C23—3762no—
1435C23—3762no—
1436C23—1884no—
1437C23—1884no—
1438C23C2×D4×D4712yes—
1439C23C24×D4711yescharacteristic
1440Q8—82no—
1441Q8—3762no—
1442Q8—3762no—
1443Q8—3762no—
1444Q8—3762no—
1445D4—3762no—
1446D4—3762no—
1447D4—3762no—
1448D4—3762no—
1449D4—3762no—
1450D4—1884no—
1451D4—1884no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—82no—
1492C2×C4—472no—
1493C2×C4—472no—
1494C2×C4—472no—
1495C2×C4—941no—
1496C2×C4—941no—
1497C2×C4—941no—
1498C2×C4—941no—
1499C2×C4—941no—
1500C2×C4—941no—
1501C2×C4—941no—
1502C2×C4—941no—
1503C2×C4—941no—
1504C2×C4—941no—
1505C2×C4—941no—
1506C2×C4—941no—
1507C2×C4—941no—
1508C2×C4—941no—
1509C2×C4—941no—
1510C2×C4—941no—
1511C2×C4—941no—
1512C2×C4—941no—
1513C2×C4—941no—
1514C2×C4—941no—
1515C2×C4—941no—
1516C2×C4—941no—
1517C2×C4—941no—
1518C2×C4—941no—
1519C2×C4—941no—
1520C2×C4—941no—
1521C2×C4—941no—
1522C2×C4—941no—
1523C2×C4—941no—
1524C2×C4—941no—
1525C2×C4—941no—
1526C2×C4—941no—
1527C2×C4—941no—
1528C2×C4—3762no—
1529C2×C4—3762no—
1530C2×C4—3762no—
1531C2×C4—3762no—
1532C2×C4—3762no—
1533C2×C4—3762no—
1534C2×C4—3762no—
1535C2×C4—1884no—
1536C2×C4—1884no—
1537C2×C4—1884no—
1538C2×C4—1884no—
1539C2×C4C2×D4×D4712yes—
1540C2×C4C2×D4×D4712yes—
1541C2×C4#1309407012yes—
1542C22—22no—
1543C22—22no—
1544C22—22no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—474no—
1550C22—942no—
1551C22—942no—
1552C22—942no—
1553C22—942no—
1554C22—942no—
1555C22—942no—
1556C22—942no—
1557C22—942no—
1558C22—942no—
1559C22—3768no—
1560C22—1881no—
1561C22—1881no—
1562C22—1881no—
1563C22—1881no—
1564C22—1881no—
1565C22—1881no—
1566C22—1881no—
1567C22—1881no—
1568C22—1881no—
1569C22—1881no—
1570C22—1881no—
1571C22—1881no—
1572C22—1881no—
1573C22—1881no—
1574C22—1881no—
1575C22—1881no—
1576C22—1881no—
1577C22—1881no—
1578C22C22×D4×D4711yescharacteristic
1579C22H(5,𝔽2)×D4711yescharacteristic
1580C22C2×#1309407011yescharacteristic
1581C222−1+4×D4711yescharacteristic
1582C222−1+4×D4711yescharacteristic
1583C22#1568995911yescharacteristic
1584C22#1568996011yescharacteristic
1585C4—22no—
1586C4—22no—
1587C4—22no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—942no—
1600C4—942no—
1601C4—942no—
1602C4—1881no—
1603C4—1881no—
1604C4—1881no—
1605C4—1881no—
1606C4—1881no—
1607C4—1881no—
1608C4—1881no—
1609C4—1881no—
1610C4—1881no—
1611C2—42no—
1612C2—944no—
1613C2—3761no—
1614C2—3761no—
1615C2—1882no—
1616C2#536×D4711yescharacteristic
1617C2#2025714611yescharacteristic
1618C2#2025714811yescharacteristic
1619C2#2025760011yescharacteristic
1620C2#2025761311yescharacteristic
1621C2#2025795611yescharacteristic
1622C2#2025800111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2698C2
prime radicalC2×#15689712C2
hypercenter#2698D47
hypocenterC47#36740
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2698

Complements

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

NH ≅ G/Ntype
1. C2×#15689748C2semidirect
3. #20251739C2semidirect
4. #20251690C2semidirect
5. #20249989C2semidirect
6. #20249986C2semidirect
7. #20249959C2semidirect
8. #20249833C2semidirect
9. #20249832C2semidirect
10. #20249816C2semidirect
11. #20249811C2semidirect
12. #20249736C2semidirect
13. #20249733C2semidirect
14. #20249732C2semidirect
15. #20249730C2semidirect
16. #20249675C2semidirect
17. #20249672C2semidirect
18. #20249637C2semidirect
19. #20249636C2semidirect
20. #20249503C2semidirect
21. #20249320C2semidirect
22. #20248569C2semidirect
23. #20248567C2semidirect
24. #20246842C2semidirect
25. #20246834C2semidirect
26. #20246786C2semidirect
27. #20246782C2semidirect
28. #20246777C2semidirect
29. #20246777C2semidirect
30. #388×D47C2semidirect
31. C47×#2698C2semidirect
34. C2×#13094023C22semidirect
37. C2×#13094012C22semidirect
53. C2×#13094002C22semidirect
58. C2×#13094000C22semidirect
73. #15689065C22semidirect
74. #15689062C22semidirect
75. #15689061C22semidirect
76. #15689060C22semidirect
77. #15689058C22semidirect
78. #15689057C22semidirect
79. #15689057C22semidirect
80. #15689056C22semidirect
81. #15689056C22semidirect
82. #15689056C22semidirect
83. #15689054C22semidirect
86. #15689052C22semidirect
87. #15689052C22semidirect
92. #15689047C22semidirect
93. #15689047C22semidirect
94. #15689045C22semidirect
95. #15689045C22semidirect
96. #15689044C22semidirect
97. #15689044C22semidirect
98. #15689044C22semidirect
99. #15689044C22semidirect
100. #15689043C22semidirect
103. #15689041C22semidirect
106. #15689040C22semidirect
111. #15689036C22semidirect
112. #15689036C22semidirect
113. #15689036C22semidirect
114. #15689034C22semidirect
115. #15689028C22semidirect
116. #15689027C22semidirect
117. #15689027C22semidirect
118. #15689027C22semidirect
119. #15689024C22semidirect
120. #15689021C22semidirect
121. #15689021C22semidirect
122. #15689020C22semidirect
123. #15689018C22semidirect
124. #15689018C22semidirect
128. #15689015C22semidirect
129. #15689015C22semidirect
130. #15689015C22semidirect
131. #15689015C22semidirect
136. #15689007C22semidirect
137. #15689006C22semidirect
138. #15689006C22semidirect
153. #15688997C22semidirect
155. #15688994C22semidirect
156. #15688994C22semidirect
157. #15688994C22semidirect
158. #15688992C22semidirect
166. #15688982C22semidirect
171. #15688980C22semidirect
176. C47×#400C22semidirect
177. C47×#398C22semidirect
178. C47×#398C22semidirect
181. C47×#395C22semidirect
182. C47×#391C22semidirect
183. C47×#389C22semidirect
185. C47×#387C22semidirect
187. C47×#382C22semidirect
807. #2698D47semidirect
889. #400C2×D47semidirect
898. #398C2×D47semidirect
899. #398C2×D47semidirect
919. #395C2×D47semidirect
938. #391C2×D47semidirect
945. #389C2×D47semidirect
961. #387C2×D47semidirect
983. #382C2×D47semidirect
1000. C47#36740semidirect

Maximal subgroups

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

subgroupindex
C2×#156897482
C2×#156897122
#202517392
#202516902
#202499892
#202499862
#202499592
#202498332
#202498322
#202498162
#202498112
#202497362
#202497332
#202497322
#202497302
#202496752
#202496722
#202496372
#202496362
#202495032
#202493202
#202485692
#202485672
#202468422
#202468342
#202467862
#202467822
#202467772
#388×D472
C47×#26982
#3674047