Finite Group Databasebeta

← #26423161

Subgroups — #26423161

Order 12032.

2440 conjugacy classes of subgroups.

The subgroup lattice has 1676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689743C211yesmaximal, characteristic, complemented
2C2×#15689632C211yesmaximal, characteristic, complemented
3#20251681C211yesmaximal, characteristic, complemented
4#20251672C211yesmaximal, characteristic, complemented
5#20249940C211yesmaximal, characteristic, complemented
6#20249925C211yesmaximal, characteristic, complemented
7#20249886C211yesmaximal, characteristic, complemented
8#20249871C211yesmaximal, characteristic, complemented
9#20249845C211yesmaximal, characteristic, complemented
10#20249800C211yesmaximal, characteristic, complemented
11#20249785C211yesmaximal, characteristic, complemented
12#20249770C211yesmaximal, characteristic, complemented
13#20249702C211yesmaximal, characteristic, complemented
14#20249688C211yesmaximal, characteristic, complemented
15#20249675C211yesmaximal, characteristic, complemented
16#20249668C211yesmaximal, characteristic, complemented
17#20249638C211yesmaximal, characteristic, complemented
18#20249630C211yesmaximal, characteristic, complemented
19#20249616C211yesmaximal, characteristic, complemented
20#20249598C211yesmaximal, characteristic, complemented
21#20249225C211yesmaximal, characteristic, complemented
22#20249067C211yesmaximal, characteristic, complemented
23#20248998C211yesmaximal, characteristic, complemented
24#20248963C211yesmaximal, characteristic, complemented
25#20248953C211yesmaximal, characteristic, complemented
26#20248745C211yesmaximal, characteristic, complemented
27#20248567C211yesmaximal, characteristic, complemented
28#20247014C211yesmaximal, characteristic, complemented
29#20246997C211yesmaximal, characteristic, complemented
30#20246017C211yesmaximal, characteristic, complemented
31C47×#2638C211yesmaximal, characteristic, complemented
32C22×#10625350C2211yescharacteristic
33C23×C4×D47C2211yescharacteristic
34#15689743—28no—
35C2×#13094023C2211yescharacteristic, complemented
36C2×#13094022C2211yescharacteristic, complemented
37C2×#13094019C2211yescharacteristic, complemented
38C2×#13094017C2211yescharacteristic
39C2×#13094013C2211yescharacteristic, complemented
40C2×#13094010C2211yescharacteristic
41C2×#13094010C2211yescharacteristic
42C2×#13094010C2211yescharacteristic
43#15689632—28no—
44C2×#13094009C2211yescharacteristic
45C2×#13094009C2211yescharacteristic, complemented
46C2×#13094008C2211yescharacteristic
47C2×#13094007C2211yescharacteristic
48C2×#13094006C2211yescharacteristic
49C2×#13094002C2211yescharacteristic
50C2×#13094002C2211yescharacteristic, complemented
51C2×#13094002C2211yescharacteristic, complemented
52C2×#13094001C2211yescharacteristic
53C2×#13094000C2211yescharacteristic
54C2×#13094000C2211yescharacteristic
55C2×#13093999C2211yescharacteristic
56C2×#13093997C2211yescharacteristic
57C2×#13093997C2211yescharacteristic
58C2×#13093997C2211yescharacteristic, complemented
59C2×#13093996C2211yescharacteristic
60C2×#13093994C2211yescharacteristic
61C2×#13093994C2211yescharacteristic
62C2×#13093992C2211yescharacteristic
63C2×#13093989C2211yescharacteristic, complemented
64C2×C4×D188C2211yescharacteristic
65C2×C4×C22⋊D47C2211yescharacteristic
66C2×C4×C22⋊D47C2211yescharacteristic
67C2×#13093982C2211yescharacteristic, complemented
68C2×#13093981C2211yescharacteristic
69#15689065C2211yescharacteristic, complemented
70#15689065C2211yescharacteristic, complemented
71#15689059C2211yescharacteristic, complemented
72#15689058C2211yescharacteristic
73#15689058C2211yescharacteristic
74#15689058C2211yescharacteristic, complemented
75#15689057C2211yescharacteristic, complemented
76#15689057C2211yescharacteristic, complemented
77#15689056C2211yescharacteristic, complemented
78#15689052C2211yescharacteristic
79#15689051C2211yescharacteristic
80#15689049C2211yescharacteristic, complemented
81#15689047C2211yescharacteristic, complemented
82#15689046C2211yescharacteristic, complemented
83#15689045C2211yescharacteristic
84#15689045C2211yescharacteristic, complemented
85#15689044C2211yescharacteristic, complemented
86#15689043C2211yescharacteristic, complemented
87#15689043C2211yescharacteristic, complemented
88#15689041C2211yescharacteristic
89#15689041C2211yescharacteristic
90#15689041C2211yescharacteristic
91#15689041C2211yescharacteristic, complemented
92#15689040C2211yescharacteristic
93#15689039C2211yescharacteristic
94#15689039C2211yescharacteristic, complemented
95#15689039C2211yescharacteristic, complemented
96#15689038C2211yescharacteristic
97#15689038C2211yescharacteristic
98#15689038C2211yescharacteristic, complemented
99#15689037C2211yescharacteristic
100#15689036C2211yescharacteristic
101#15689036C2211yescharacteristic
102#15689036C2211yescharacteristic
103#15689036C2211yescharacteristic, complemented
104#15689035C2211yescharacteristic, complemented
105#15689033C2211yescharacteristic
106#15689032C2211yescharacteristic
107#15689032C2211yescharacteristic
108#15689031C2211yescharacteristic
109#15689027C2211yescharacteristic, complemented
110#15689024C2211yescharacteristic
111#15689023C2211yescharacteristic
112#15689023C2211yescharacteristic
113#15689023C2211yescharacteristic
114#15689020C2211yescharacteristic, complemented
115#15689020C2211yescharacteristic, complemented
116#15689018C2211yescharacteristic, complemented
117#15689017C2211yescharacteristic, complemented
118#15689015C2211yescharacteristic, complemented
119#15689014C2211yescharacteristic, complemented
120#15689013C2211yescharacteristic
121#15689013C2211yescharacteristic
122#15689012C2211yescharacteristic
123#15689012C2211yescharacteristic
124#15689012C2211yescharacteristic
125#15689011C2211yescharacteristic
126#15689011C2211yescharacteristic
127#15689010C2211yescharacteristic, complemented
128#15689010C2211yescharacteristic, complemented
129#15689007C2211yescharacteristic, complemented
130#15689006C2211yescharacteristic, complemented
131#15689005C2211yescharacteristic, complemented
132#15689005C2211yescharacteristic, complemented
133#15689002C2211yescharacteristic, complemented
134#15689001C2211yescharacteristic
135#15689001C2211yescharacteristic
136#15689001C2211yescharacteristic
137#15689001C2211yescharacteristic
138#15689001C2211yescharacteristic
139#15689001C2211yescharacteristic
140#15689001C2211yescharacteristic
141#15689001C2211yescharacteristic
142#15689001C2211yescharacteristic
143#15688999C2211yescharacteristic
144#15688999C2211yescharacteristic
145#15688999C2211yescharacteristic, complemented
146#15688999C2211yescharacteristic, complemented
147#15688997C2211yescharacteristic
148#15688997C2211yescharacteristic
149#15688997C2211yescharacteristic
150#15688997C2211yescharacteristic
151#15688997C2211yescharacteristic, complemented
152#15688997C2211yescharacteristic, complemented
153#15688996C2211yescharacteristic, complemented
154#15688995C2211yescharacteristic
155#15688995C2211yescharacteristic
156#15688994C2211yescharacteristic
157#15688994C2211yescharacteristic
158#15688994C2211yescharacteristic
159#15688994C2211yescharacteristic
160#15688994C2211yescharacteristic, complemented
161#15688990C2211yescharacteristic, complemented
162#15688987C2211yescharacteristic, complemented
163#15688984C2211yescharacteristic
164#15688983C2211yescharacteristic
165#15688982C2211yescharacteristic, complemented
166#15688980C2211yescharacteristic
167#15688980C2211yescharacteristic
168#15688980C2211yescharacteristic, complemented
169#15688978C2211yescharacteristic
170#15688978C2211yescharacteristic
171#15688978C2211yescharacteristic
172#15688970C2211yescharacteristic, complemented
173#95×D47C2211yescharacteristic, complemented
174C2×C22⋊Q8×C47C2211yescharacteristic
175C2×C4×D4×C47C2211yescharacteristic
176C47×#398C2211yescharacteristic, complemented
177C47×#397C2211yescharacteristic
178C47×#397C2211yescharacteristic
179C47×#397C2211yescharacteristic, complemented
180C47×#395C2211yescharacteristic, complemented
181C47×#394C2211yescharacteristic
182C47×#394C2211yescharacteristic
183C47×#393C2211yescharacteristic, complemented
184C47×#387C2211yescharacteristic, complemented
185C47×#387C2211yescharacteristic, complemented
186C47×#385C2211yescharacteristic, complemented
187C47×#385C2211yescharacteristic, complemented
188C47×#381C2211yescharacteristic
189C24×D47C2311yescharacteristic
190C2×#10625350—24no—
191C2×#10625350—42no—
192C2×#10625350—42no—
193C22×Dic94C2311yescharacteristic
194C22×Dic94C2311yescharacteristic
195C22×Dic94C2311yescharacteristic
196C22×D188C2311yescharacteristic
197C22×D188C2311yescharacteristic
198C22×D188C2311yescharacteristic
199C22×D188C2311yescharacteristic
200C22×D188C2311yescharacteristic
201C22×C22⋊D47C2311yescharacteristic
202C22×C22⋊D47C2311yescharacteristic
203C22×C22⋊D47C2311yescharacteristic
204C22×C22⋊D47C2311yescharacteristic
205C22×C22⋊D47C2311yescharacteristic
206C22×C22⋊D47C2311yescharacteristic
207C23×Dic47C2311yescharacteristic
208C22×C4×D47—24no—
209C22×C4×D47—42no—
210C22×C4×D47—42no—
211C22×C4×D47C2311yescharacteristic
212C22×C4×D47C2311yescharacteristic
213C22×C4×D47C2311yescharacteristic
214C22×C4×D47C2311yescharacteristic
215C22×C4×D47C2311yescharacteristic
216C22×C4×D47C2311yescharacteristic
217C22×C4×D47C2311yescharacteristic
218C22×C4×D47C2311yescharacteristic
219#13094023—42no—
220#13094022—24no—
221#13094019—24no—
222#13094017—24no—
223#13094013—24no—
224#13094010—24no—
225#13094010—24no—
226#13094010—42no—
227#13094009—24no—
228#13094009—24no—
229#13094008—42no—
230#13094007—24no—
231#13094006—24no—
232#13094002—24no—
233#13094002—24no—
234#13094002—24no—
235#13094001—24no—
236#13094000—42no—
237#13094000—42no—
238#13093999—42no—
239#13093997—24no—
240#13093997—24no—
241#13093997—42no—
242#13093996—24no—
243#13093994—24no—
244#13093994—42no—
245#13093992—24no—
246#13093989—24no—
247C4×D188—24no—
248C4×C22⋊D47—24no—
249C4×C22⋊D47D418yescomplemented
250#13093982—24no—
251#13093981—24no—
252C2×C4⋊Dic47C2311yescharacteristic
253C2×C4⋊Dic47C2311yescharacteristic
254C2×C4⋊Dic47C2311yescharacteristic
255C2×C4⋊Dic47C2311yescharacteristic
256C2×C4⋊Dic47C2311yescharacteristic
257C2×C4⋊Dic47C2311yescharacteristic
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
271C2×Dic47⋊C4C2311yescharacteristic
272C2×Dic47⋊C4C2311yescharacteristic
273C2×Dic47⋊C4C2311yescharacteristic
274C2×Dic47⋊C4C2311yescharacteristic
275C2×Dic47⋊C4C2311yescharacteristic
276C2×C22⋊Dic47C2311yescharacteristic
277C2×C22⋊Dic47C2311yescharacteristic
278C2×C22⋊Dic47C2311yescharacteristic
279C2×C22⋊Dic47C2311yescharacteristic
280C2×C22⋊Dic47C2311yescharacteristic
281C2×C22⋊Dic47C2311yescharacteristic
282C2×C22⋊Dic47C2311yescharacteristic
283C2×C22⋊Dic47C2311yescharacteristic
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
313C2×(C2×D47)⋊C4C2311yescharacteristic
314C2×(C2×D47)⋊C4C2311yescharacteristic
315C2×(C2×D47)⋊C4C2311yescharacteristic
316C2×(C2×D47)⋊C4C2311yescharacteristic
317C2×(C2×D47)⋊C4C2311yescharacteristic
318C2×C4×Dic47C2311yescharacteristic
319C2×C4×Dic47C2311yescharacteristic
320C2×C4×Dic47C2311yescharacteristic
321C2×C4×Dic47C2311yescharacteristic
322C2×C4×Dic47C2311yescharacteristic
323C2×C4×Dic47C2311yescharacteristic
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
349C22×D4×C47C2311yescharacteristic
350C23×C4×C47C2311yescharacteristic
351C23×C4×C47C2311yescharacteristic
352C22⋊Q8×C47—24no—
353C4×D4×C47—24no—
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×C22⋊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×C22⋊C4×C47C2311yescharacteristic
370C2×C22⋊C4×C47C2311yescharacteristic
371C2×C22⋊C4×C47C2311yescharacteristic
372C2×C42×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
386C24×C47C2411yescharacteristic
387C23×D47—22no—
388C23×D47—22no—
389C23×D47—22no—
390C23×D47—41no—
391C23×D47—41no—
392C23×D47—41no—
393C23×D47—41no—
394C23×D47C2411yescharacteristic
395C23×D47C2411yescharacteristic
396C23×D47C2411yescharacteristic
397C23×D47C2411yescharacteristic
398C2×Q8×C47—22no—
399C2×Q8×C47—41no—
400C2×Q8×C47—41no—
401C2×D4×C47—22no—
402C2×D4×C47—41no—
403C2×D4×C47—41no—
404C22×C4×C47—22no—
405C22×C4×C47—41no—
406C22×C4×C47—41no—
407C22×C4×C47—41no—
408C22×C4×C47—41no—
409C22×C4×C47C2×D414yes—
410C22×C4×C47C2411yescharacteristic
411C22×C4×C47C2411yescharacteristic
412C22×C4×C47C2411yescharacteristic
413C22×C4×C47C2411yescharacteristic
414C22×C4×C47C2411yescharacteristic
415C22×C4×C47C2411yescharacteristic
416C22×C4×C47C2411yescharacteristic
417C22×C4×C47C2411yescharacteristic
418C22×C4×C47C2411yescharacteristic
419C22×C4×C47C2411yescharacteristic
420C22×C4×C47C2411yescharacteristic
421C22×C4×C47C2411yescharacteristic
422C22×C4×C47C2411yescharacteristic
423C2×C22⋊D47—22no—
424C2×C22⋊D47—22no—
425C2×C22⋊D47—22no—
426C2×C22⋊D47—22no—
427C2×C22⋊D47—22no—
428C2×C22⋊D47—22no—
429C2×C22⋊D47—22no—
430C2×C22⋊D47—41no—
431C2×C22⋊D47—41no—
432C2×C22⋊D47—41no—
433C2×C22⋊D47—41no—
434C2×C22⋊D47—41no—
435C2×C22⋊D47—41no—
436C2×C22⋊D47—41no—
437C2×C22⋊D47—41no—
438C2×C22⋊D47—41no—
439C2×C22⋊D47—41no—
440C2×C22⋊D47C2×D414yes—
441C22×Dic47—22no—
442C22×Dic47—22no—
443C22×Dic47—41no—
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C22×Dic47C2411yescharacteristic
448C22×Dic47C2411yescharacteristic
449C22×Dic47C2411yescharacteristic
450C22×Dic47C2411yescharacteristic
451C22×Dic47C2411yescharacteristic
452C22×Dic47C2411yescharacteristic
453C22×Dic47C2411yescharacteristic
454C22×Dic47C2411yescharacteristic
455C22×Dic47C2411yescharacteristic
456#10625350—416no—
457C2×D188—22no—
458C2×D188—22no—
459C2×D188—22no—
460C2×D188—22no—
461C2×D188—22no—
462C2×D188—22no—
463C2×D188—22no—
464C2×D188—41no—
465C2×D188—41no—
466C2×D188—41no—
467C2×D188—41no—
468C2×D188—41no—
469C2×D188—41no—
470C2×D188—41no—
471C2×D188—41no—
472C2×C4×D47—22no—
473C2×C4×D47—22no—
474C2×C4×D47—22no—
475C2×C4×D47—22no—
476C2×C4×D47—22no—
477C2×C4×D47—22no—
478C2×C4×D47—22no—
479C2×C4×D47—22no—
480C2×C4×D47—22no—
481C2×C4×D47—416no—
482C2×C4×D47—41no—
483C2×C4×D47—41no—
484C2×C4×D47—41no—
485C2×C4×D47—41no—
486C2×C4×D47—41no—
487C2×C4×D47—41no—
488C2×C4×D47—41no—
489C2×C4×D47—41no—
490C2×C4×D47—41no—
491C2×C4×D47—41no—
492C2×C4×D47—41no—
493C2×C4×D47—41no—
494C2×C4×D47—41no—
495C2×C4×D47—41no—
496C2×C4×D47C2×D414yes—
497C2×Dic94—22no—
498C2×Dic94—22no—
499C2×Dic94—22no—
500C2×Dic94—22no—
501C2×Dic94—41no—
502C2×Dic94—41no—
503C2×Dic94—41no—
504C2×Dic94—41no—
505C2×Dic94—41no—
506C4⋊C4×C47—22no—
507C4⋊C4×C47—22no—
508C4⋊C4×C47—22no—
509C4⋊C4×C47—22no—
510C4⋊C4×C47—41no—
511C4⋊C4×C47—41no—
512C4⋊C4×C47—41no—
513C4⋊C4×C47—41no—
514C22⋊C4×C47—22no—
515C22⋊C4×C47—22no—
516C22⋊C4×C47—22no—
517C22⋊C4×C47—22no—
518C22⋊C4×C47—41no—
519C22⋊C4×C47—41no—
520C22⋊C4×C47—41no—
521C22⋊C4×C47—41no—
522C22⋊C4×C47—41no—
523C22⋊C4×C47—41no—
524C42×C47—22no—
525C22⋊Dic47—22no—
526C22⋊Dic47—22no—
527C22⋊Dic47—41no—
528C22⋊Dic47—41no—
529C22⋊Dic47—41no—
530C22⋊Dic47—41no—
531C22⋊Dic47—41no—
532C22⋊Dic47C2×D414yes—
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—22no—
539(C2×D47)⋊C4—22no—
540(C2×D47)⋊C4—22no—
541(C2×D47)⋊C4—22no—
542(C2×D47)⋊C4—22no—
543(C2×D47)⋊C4—22no—
544(C2×D47)⋊C4—22no—
545(C2×D47)⋊C4—22no—
546(C2×D47)⋊C4—22no—
547(C2×D47)⋊C4—22no—
548(C2×D47)⋊C4—22no—
549(C2×D47)⋊C4—22no—
550(C2×D47)⋊C4—41no—
551(C2×D47)⋊C4—41no—
552(C2×D47)⋊C4—41no—
553(C2×D47)⋊C4—41no—
554(C2×D47)⋊C4—41no—
555(C2×D47)⋊C4—41no—
556(C2×D47)⋊C4—41no—
557(C2×D47)⋊C4—41no—
558(C2×D47)⋊C4—41no—
559(C2×D47)⋊C4—41no—
560(C2×D47)⋊C4—41no—
561(C2×D47)⋊C4—41no—
562(C2×D47)⋊C4—41no—
563(C2×D47)⋊C4—41no—
564(C2×D47)⋊C4—41no—
565(C2×D47)⋊C4—41no—
566(C2×D47)⋊C4C2×D414yes—
567C4⋊Dic47—22no—
568C4⋊Dic47—22no—
569C4⋊Dic47—22no—
570C4⋊Dic47—41no—
571C4⋊Dic47—41no—
572C4⋊Dic47—41no—
573Dic47⋊C4—22no—
574Dic47⋊C4—22no—
575Dic47⋊C4—22no—
576Dic47⋊C4—22no—
577Dic47⋊C4—22no—
578Dic47⋊C4—22no—
579Dic47⋊C4—22no—
580Dic47⋊C4—22no—
581Dic47⋊C4—22no—
582Dic47⋊C4—22no—
583Dic47⋊C4—41no—
584Dic47⋊C4—41no—
585Dic47⋊C4—41no—
586Dic47⋊C4—41no—
587Dic47⋊C4—41no—
588Dic47⋊C4—41no—
589Dic47⋊C4—41no—
590Dic47⋊C4C2×D414yes—
591C4×Dic47—22no—
592C4×Dic47—22no—
593C4×Dic47—22no—
594C4×Dic47—41no—
595C4×Dic47—41no—
596C4×Dic47C2×D414yes—
597C23×C47—21no—
598C23×C47—21no—
599C23×C47—21no—
600C23×C47—21no—
601C23×C47—21no—
602C23×C47—21no—
603C23×C47—21no—
604C23×C47—21no—
605C23×C47—21no—
606C23×C47—21no—
607C23×C47—21no—
608C23×C47—21no—
609C23×C47—21no—
610C23×C47C22×D412yes—
611C23×C47C2511yescharacteristic
612C22×D47—21no—
613C22×D47—21no—
614C22×D47—21no—
615C22×D47—21no—
616C22×D47—21no—
617C22×D47—21no—
618C22×D47—21no—
619C22×D47—21no—
620C22×D47—21no—
621C22×D47—21no—
622C22×D47—21no—
623C22×D47—21no—
624C22×D47—21no—
625C22×D47—21no—
626C22×D47—21no—
627C22×D47—21no—
628C22×D47—21no—
629C22×D47—21no—
630C22×D47—21no—
631C22×D47—21no—
632C22×D47—21no—
633C22×D47—21no—
634C22×D47—21no—
635C22×D47—21no—
636C22×D47—21no—
637C22×D47—44no—
638C22×D47—44no—
639C22×D47—44no—
640C22×D47—44no—
641C22×D47—44no—
642C22×D47—44no—
643C22×D47—44no—
644C22×D47C22×D412yes—
645C22×D47H(5,𝔽2)12yes—
646C22×D472−1+412yes—
647Q8×C47—82no—
648D4×C47—44no—
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—21no—
669C2×C4×C47—21no—
670C2×C4×C47—21no—
671C2×C4×C47—21no—
672C2×C4×C47—21no—
673C2×C4×C47—21no—
674C2×C4×C47—21no—
675C2×C4×C47—21no—
676C2×C4×C47—21no—
677C2×C4×C47—21no—
678C2×C4×C47—21no—
679C2×C4×C47—21no—
680C2×C4×C47—21no—
681C2×C4×C47—21no—
682C2×C4×C47—21no—
683C2×C4×C47—21no—
684C2×C4×C47—21no—
685C2×C4×C47—21no—
686C2×C4×C47—44no—
687C2×C4×C47—44no—
688C2×C4×C47C22×D412yes—
689C2×C4×C47C22×D412yes—
690C22⋊D47—44no—
691C22⋊D47—44no—
692C22⋊D47—44no—
693C22⋊D47—44no—
694C22⋊D47—82no—
695C22⋊D47—82no—
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—21no—
708C2×Dic47—21no—
709C2×Dic47—21no—
710C2×Dic47—21no—
711C2×Dic47—21no—
712C2×Dic47—21no—
713C2×Dic47—21no—
714C2×Dic47—21no—
715C2×Dic47—21no—
716C2×Dic47—21no—
717C2×Dic47—21no—
718C2×Dic47—21no—
719C2×Dic47—21no—
720C2×Dic47—21no—
721C2×Dic47—21no—
722C2×Dic47—21no—
723C2×Dic47—21no—
724C2×Dic47—21no—
725C2×Dic47—21no—
726C2×Dic47—21no—
727C2×Dic47—21no—
728C2×Dic47—44no—
729C2×Dic47C22×D412yes—
730C2×Dic47C22×D412yes—
731C2×Dic47C22×D412yes—
732C2×Dic47H(5,𝔽2)12yes—
733D188—44no—
734D188—44no—
735D188—82no—
736D188—82no—
737D188—82no—
738C4×D47—28no—
739C4×D47—44no—
740C4×D47—44no—
741C4×D47—44no—
742C4×D47—44no—
743C4×D47—44no—
744C4×D47—82no—
745C4×D47—82no—
746Dic94—44no—
747Dic94—44no—
748Dic94—82no—
749#36712—471nomaximal, Sylow
750C22×C47—22no—
751C22×C47—22no—
752C22×C47—22no—
753C22×C47—41no—
754C22×C47—41no—
755C22×C47—41no—
756C22×C47—41no—
757C22×C47—41no—
758C22×C47—41no—
759C22×C47—41no—
760C22×C47—41no—
761C22×C47—41no—
762C22×C47—41no—
763C22×C47—41no—
764C22×C47C23×D411yescharacteristic
765C22×C47C2×H(5,𝔽2)11yescharacteristic
766C22×C47C2×H(5,𝔽2)11yescharacteristic
767C22×C47C2×2−1+411yescharacteristic
768C22×C47#58511yescharacteristic
769C22×C47#58511yescharacteristic
770C22×C47#58511yescharacteristic
771C2×D47—22no—
772C2×D47—22no—
773C2×D47—22no—
774C2×D47—22no—
775C2×D47—22no—
776C2×D47—22no—
777C2×D47—22no—
778C2×D47—22no—
779C2×D47—22no—
780C2×D47—416no—
781C2×D47—41no—
782C2×D47—41no—
783C2×D47—41no—
784C2×D47—41no—
785C2×D47—41no—
786C2×D47—41no—
787C2×D47—41no—
788C2×D47—41no—
789C2×D47—41no—
790C2×D47—41no—
791C2×D47—41no—
792C2×D47—41no—
793C2×D47—41no—
794C2×D47—41no—
795C2×D47—41no—
796C2×D47—41no—
797C2×D47—41no—
798C2×D47—41no—
799C2×D47—41no—
800C4×C47—22no—
801C4×C47—22no—
802C4×C47—41no—
803C4×C47—41no—
804C4×C47—41no—
805C4×C47—41no—
806C4×C47—41no—
807C4×C47—41no—
808C4×C47—41no—
809C4×C47—41no—
810C4×C47—41no—
811C4×C47—41no—
812C4×C47—41no—
813Dic47—22no—
814Dic47—22no—
815Dic47—22no—
816Dic47—22no—
817Dic47—41no—
818Dic47—41no—
819Dic47—41no—
820Dic47—41no—
821Dic47—41no—
822Dic47—41no—
823Dic47—41no—
824Dic47—41no—
825C2×#542—471no—
826C2×#525—471no—
827#2849—471no—
828#2848—471no—
829#2696—471no—
830#2695—471no—
831#2692—471no—
832#2691—471no—
833#2689—471no—
834#2686—471no—
835#2685—471no—
836#2684—471no—
837#2677—471no—
838#2676—471no—
839#2674—471no—
840#2674—471no—
841#2672—471no—
842#2671—471no—
843#2670—471no—
844#2668—471no—
845#2638D4711yescharacteristic, complemented
846#2630—471no—
847#2609—471no—
848#2602—471no—
849#2599—471no—
850#2598—471no—
851#2580—471no—
852#2564—471no—
853#2432—471no—
854#2430—471no—
855#2318—471no—
856C2×C47—42no—
857C2×C47—81no—
858C2×C47#344911yescharacteristic
859C2×C47#348411yescharacteristic
860C2×C47#348911yescharacteristic
861C2×C47#353311yescharacteristic
862C2×C47#353511yescharacteristic
863C2×C47#354011yescharacteristic
864C2×C47#354111yescharacteristic
865D47—42no—
866D47—42no—
867D47—42no—
868D47—81no—
869C22×#41—471no—
870C24×C4—471no—
871#542—948no—
872C2×C4⋊Q8—471no—
873C2×C4⋊Q8—471no—
874C2×#126—471no—
875C2×#126—471no—
876C2×#124—471no—
877C2×#124—471no—
878C2×#124—471no—
879C2×#124—471no—
880#525—948no—
881C2×#123—471no—
882C2×#123—471no—
883C2×#123—471no—
884C2×#123—471no—
885C2×#123—471no—
886C2×C22⋊Q8—471no—
887C2×C22⋊Q8—471no—
888C2×C22⋊Q8—471no—
889C2×C22⋊Q8—471no—
890C2×C22⋊Q8—471no—
891C2×C22⋊Q8—471no—
892C2×C22⋊Q8C2×D4711yescharacteristic
893C2×#121—471no—
894C2×#121—471no—
895C2×#121—471no—
896C2×#121—471no—
897C2×#121—471no—
898C2×#120—471no—
899C2×#120—471no—
900C2×#120—471no—
901C2×C4×Q8—471no—
902C2×C4×D4—471no—
903C2×C4×D4—471no—
904C2×C4×D4—471no—
905C2×C4×D4C2×D4711yescharacteristic
906C2×#117—471no—
907C2×#117—471no—
908#400—471no—
909#400—471no—
910#399—471no—
911#399—471no—
912#399—471no—
913#399—471no—
914#398—471no—
915#398—471no—
916#398—471no—
917#398C2×D4711yescharacteristic, complemented
918#397—471no—
919#397—471no—
920#397—471no—
921#397C2×D4711yescharacteristic
922#397C2×D4711yescharacteristic
923#397C2×D4711yescharacteristic, complemented
924#396—471no—
925#396—471no—
926#396—471no—
927#396—471no—
928#395—471no—
929#395—471no—
930#395—471no—
931#395C2×D4711yescharacteristic, complemented
932#394—471no—
933#394—471no—
934#394—471no—
935#394—471no—
936#394—471no—
937#394—471no—
938#394—471no—
939#394—471no—
940#394—471no—
941#394—471no—
942#394—471no—
943#394—471no—
944#394C2×D4711yescharacteristic
945#394C2×D4711yescharacteristic
946#393—471no—
947#393—471no—
948#393—471no—
949#393—471no—
950#393—471no—
951#393C2×D4711yescharacteristic, complemented
952#392—471no—
953#392—471no—
954#392—471no—
955#392—471no—
956#391—471no—
957#390—471no—
958#390—471no—
959#390—471no—
960#390—471no—
961#389—471no—
962#389—471no—
963#389—471no—
964#388—471no—
965#388—471no—
966#388—471no—
967#388—471no—
968#388—471no—
969#388—471no—
970#388—471no—
971#388—471no—
972#388—471no—
973#388—471no—
974#387—471no—
975#387—471no—
976#387—471no—
977#387—471no—
978#387—471no—
979#387—471no—
980#387C2×D4711yescharacteristic, complemented
981#387C2×D4711yescharacteristic, complemented
982#386—471no—
983#386—471no—
984#386—471no—
985#386—471no—
986#386—471no—
987#386—471no—
988#386—471no—
989#386—471no—
990#386—471no—
991#386—471no—
992#386—471no—
993#386—471no—
994#386—471no—
995#386—471no—
996#385—471no—
997#385—471no—
998#385—471no—
999#385—471no—
1000#385—471no—
1001#385—471no—
1002#385—471no—
1003#385—471no—
1004#385—471no—
1005#385—471no—
1006#385—471no—
1007#385—471no—
1008#385—471no—
1009#385—471no—
1010#385C2×D4711yescharacteristic, complemented
1011#385C2×D4711yescharacteristic, complemented
1012#383—471no—
1013#382—471no—
1014#381—471no—
1015#381C2×D4711yescharacteristic
1016#380—471no—
1017#380—471no—
1018#380—471no—
1019#380—471no—
1020#380—471no—
1021#379—471no—
1022#379—471no—
1023#379—471no—
1024C4×C22⋊C4—471no—
1025C2×#95—471no—
1026C47#3671211yescharacteristic, complemented, Sylow
1027C25—471no—
1028C2×#41—944no—
1029C2×#41—1882no—
1030C2×#41—1882no—
1031C22×Q8—471no—
1032C22×Q8—471no—
1033C22×Q8—471no—
1034C22×Q8C22×D4711yescharacteristic
1035C22×D4—471no—
1036C22×D4—471no—
1037C22×D4—471no—
1038C22×D4—471no—
1039C22×D4—471no—
1040C22×D4—471no—
1041C22×D4—471no—
1042C22×D4—471no—
1043C22×D4—471no—
1044C22×D4—471no—
1045C22×D4—471no—
1046C22×D4C22×D4711yescharacteristic
1047C23×C4—471no—
1048C23×C4—471no—
1049C23×C4—471no—
1050C23×C4—471no—
1051C23×C4—471no—
1052C23×C4—471no—
1053C23×C4—471no—
1054C23×C4—471no—
1055C23×C4—471no—
1056C23×C4—944no—
1057C23×C4—1882no—
1058C23×C4—1882no—
1059C23×C4C22×D4711yescharacteristic
1060C23×C4C22×D4711yescharacteristic
1061C4⋊Q8—944no—
1062C4⋊Q8—1882no—
1063#126—944no—
1064#126—944no—
1065#124—944no—
1066#124—944no—
1067#124—944no—
1068#124—1882no—
1069#123—944no—
1070#123—944no—
1071#123—944no—
1072#123—944no—
1073#123—1882no—
1074C22⋊Q8—24no—
1075C22⋊Q8—944no—
1076C22⋊Q8—944no—
1077C22⋊Q8—944no—
1078C22⋊Q8—944no—
1079C22⋊Q8—1882no—
1080C22⋊Q8—1882no—
1081#121—944no—
1082#121—944no—
1083#121—944no—
1084#121—1882no—
1085#121—1882no—
1086#120—944no—
1087#120—944no—
1088#120—1882no—
1089C4×Q8—944no—
1090C4×D4—24no—
1091C4×D4—478no—
1092C4×D4—944no—
1093C4×D4—944no—
1094#117—944no—
1095#117—944no—
1096C2×C4⋊C4—471no—
1097C2×C4⋊C4—471no—
1098C2×C4⋊C4—471no—
1099C2×C4⋊C4—471no—
1100C2×C4⋊C4—471no—
1101C2×C4⋊C4—471no—
1102C2×C4⋊C4—471no—
1103C2×C4⋊C4—471no—
1104C2×C4⋊C4—471no—
1105C2×C4⋊C4—471no—
1106C2×C4⋊C4—471no—
1107C2×C4⋊C4—471no—
1108C2×C4⋊C4—471no—
1109C2×C4⋊C4—471no—
1110C2×C4⋊C4—471no—
1111C2×C4⋊C4—471no—
1112C2×C4⋊C4—471no—
1113C2×C4⋊C4—471no—
1114C2×C4⋊C4—471no—
1115C2×C4⋊C4—471no—
1116C2×C4⋊C4—471no—
1117C2×C4⋊C4—471no—
1118C2×C4⋊C4—471no—
1119C2×C4⋊C4—471no—
1120C2×C4⋊C4C22×D4711yescharacteristic
1121C2×C4⋊C4C22×D4711yescharacteristic
1122C2×C4⋊C4C22×D4711yescharacteristic
1123C2×C4⋊C4C22×D4711yescharacteristic
1124C2×C4⋊C4C22×D4711yescharacteristic
1125C2×C4⋊C4C22×D4711yescharacteristic
1126C2×C4⋊C4C22×D4711yescharacteristic
1127C2×C4⋊C4C22×D4711yescharacteristic
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—471no—
1141C2×C22⋊C4—471no—
1142C2×C22⋊C4—471no—
1143C2×C22⋊C4—471no—
1144C2×C22⋊C4—471no—
1145C2×C22⋊C4—471no—
1146C2×C22⋊C4—471no—
1147C2×C22⋊C4—471no—
1148C2×C22⋊C4—471no—
1149C2×C22⋊C4—471no—
1150C2×C22⋊C4—471no—
1151C2×C22⋊C4—471no—
1152C2×C22⋊C4—471no—
1153C2×C22⋊C4—471no—
1154C2×C22⋊C4—471no—
1155C2×C22⋊C4—471no—
1156C2×C22⋊C4—471no—
1157C2×C22⋊C4—471no—
1158C2×C22⋊C4—471no—
1159C2×C22⋊C4—471no—
1160C2×C22⋊C4—471no—
1161C2×C22⋊C4—471no—
1162C2×C22⋊C4—471no—
1163C2×C22⋊C4—471no—
1164C2×C22⋊C4—471no—
1165C2×C22⋊C4—471no—
1166C2×C22⋊C4—471no—
1167C2×C22⋊C4—471no—
1168C2×C22⋊C4—471no—
1169C2×C22⋊C4—471no—
1170C2×C22⋊C4C22×D4711yescharacteristic
1171C2×C22⋊C4C22×D4711yescharacteristic
1172C2×C22⋊C4C22×D4711yescharacteristic
1173C2×C22⋊C4C22×D4711yescharacteristic
1174C2×C22⋊C4C22×D4711yescharacteristic
1175C2×C22⋊C4C22×D4711yescharacteristic
1176C2×C22⋊C4C22×D4711yescharacteristic
1177C2×C22⋊C4C22×D4711yescharacteristic
1178C2×C22⋊C4C22×D4711yescharacteristic
1179C2×C22⋊C4C22×D4711yescharacteristic
1180C2×C42—471no—
1181C2×C42—471no—
1182C2×C42—471no—
1183C2×C42—471no—
1184C2×C42—471no—
1185C2×C42—471no—
1186C2×C42C22×D4711yescharacteristic
1187#95—471no—
1188#95—471no—
1189#95—471no—
1190#95—471no—
1191#95—471no—
1192#95—471no—
1193#95—471no—
1194#95—471no—
1195#95—471no—
1196#95—471no—
1197#95—471no—
1198#95—471no—
1199#95—471no—
1200#95—471no—
1201#95—471no—
1202#95—471no—
1203#95—471no—
1204#95—471no—
1205#95—471no—
1206#95—471no—
1207#95—471no—
1208#95—471no—
1209#95—471no—
1210#95—471no—
1211#95C22×D4711yescharacteristic
1212#95C22×D4711yescharacteristic
1213#95C22×D4711yescharacteristic
1214#95C22×D4711yescharacteristic
1215#95C22×D4711yescharacteristic
1216#95C22×D4711yescharacteristic
1217#95C22×D4711yescharacteristic
1218#95C22×D4711yescharacteristic
1219#95C22×D4711yescharacteristic
1220#95C22×D4711yescharacteristic
1221#95C22×D4711yescharacteristic
1222#95C22×D4711yescharacteristic
1223C24—471no—
1224C24—471no—
1225C24—471no—
1226C24—471no—
1227C24—942no—
1228C24—942no—
1229C24—942no—
1230C24—1881no—
1231C24—1881no—
1232C24—1881no—
1233C24—1881no—
1234C24C23×D4711yescharacteristic
1235C24C23×D4711yescharacteristic
1236#41—18816no—
1237C2×Q8—22no—
1238C2×Q8—41no—
1239C2×Q8—41no—
1240C2×Q8—942no—
1241C2×Q8—942no—
1242C2×Q8—942no—
1243C2×Q8—942no—
1244C2×Q8—1881no—
1245C2×Q8—1881no—
1246C2×Q8—1881no—
1247C2×Q8—1881no—
1248C2×Q8—1881no—
1249C2×D4—22no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—474no—
1253C2×D4—942no—
1254C2×D4—942no—
1255C2×D4—942no—
1256C2×D4—942no—
1257C2×D4—942no—
1258C2×D4—942no—
1259C2×D4—942no—
1260C2×D4—942no—
1261C2×D4—942no—
1262C2×D4—942no—
1263C2×D4—942no—
1264C2×D4—942no—
1265C2×D4—942no—
1266C2×D4—942no—
1267C2×D4—1881no—
1268C2×D4—1881no—
1269C2×D4—1881no—
1270C2×D4—1881no—
1271C2×D4—1881no—
1272C2×D4—1881no—
1273C2×D4—1881no—
1274C2×D4—1881no—
1275C2×D4—1881no—
1276C2×D4—1881no—
1277C2×D4—1881no—
1278C2×D4—1881no—
1279C2×D4—1881no—
1280C2×D4—1881no—
1281C2×D4—1881no—
1282C2×D4—1881no—
1283C2×D4—1881no—
1284C2×D4—1881no—
1285C22×C4—22no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—471no—
1291C22×C4—471no—
1292C22×C4—471no—
1293C22×C4—471no—
1294C22×C4—474no—
1295C22×C4—471no—
1296C22×C4—471no—
1297C22×C4—471no—
1298C22×C4—471no—
1299C22×C4—471no—
1300C22×C4—471no—
1301C22×C4—471no—
1302C22×C4—471no—
1303C22×C4—942no—
1304C22×C4—942no—
1305C22×C4—942no—
1306C22×C4—942no—
1307C22×C4—942no—
1308C22×C4—942no—
1309C22×C4—942no—
1310C22×C4—942no—
1311C22×C4—942no—
1312C22×C4—942no—
1313C22×C4—942no—
1314C22×C4—1881no—
1315C22×C4—1881no—
1316C22×C4—1881no—
1317C22×C4—1881no—
1318C22×C4—1881no—
1319C22×C4—1881no—
1320C22×C4—1881no—
1321C22×C4—1881no—
1322C22×C4—1881no—
1323C22×C4—1881no—
1324C22×C4—1881no—
1325C22×C4—1881no—
1326C22×C4—1881no—
1327C22×C4—1881no—
1328C22×C4—18816no—
1329C22×C4—1881no—
1330C22×C4D4×D4714yes—
1331C22×C4C23×D4711yescharacteristic
1332C22×C4C23×D4711yescharacteristic
1333C22×C4C23×D4711yescharacteristic
1334C22×C4C23×D4711yescharacteristic
1335C22×C4C23×D4711yescharacteristic
1336C22×C4C23×D4711yescharacteristic
1337C22×C4C23×D4711yescharacteristic
1338C22×C4C23×D4711yescharacteristic
1339C22×C4C23×D4711yescharacteristic
1340C22×C4C23×D4711yescharacteristic
1341C22×C4C23×D4711yescharacteristic
1342C22×C4C23×D4711yescharacteristic
1343C22×C4C23×D4711yescharacteristic
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—474no—
1353C4⋊C4—942no—
1354C4⋊C4—942no—
1355C4⋊C4—942no—
1356C4⋊C4—942no—
1357C4⋊C4—942no—
1358C4⋊C4—942no—
1359C4⋊C4—942no—
1360C4⋊C4—942no—
1361C4⋊C4—942no—
1362C4⋊C4—942no—
1363C4⋊C4—942no—
1364C4⋊C4—942no—
1365C4⋊C4—942no—
1366C4⋊C4—1881no—
1367C4⋊C4—1881no—
1368C4⋊C4—1881no—
1369C4⋊C4—1881no—
1370C4⋊C4—1881no—
1371C4⋊C4—1881no—
1372C4⋊C4—1881no—
1373C4⋊C4—1881no—
1374C4⋊C4—1881no—
1375C4⋊C4—1881no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—474no—
1387C22⋊C4—474no—
1388C22⋊C4—942no—
1389C22⋊C4—942no—
1390C22⋊C4—942no—
1391C22⋊C4—942no—
1392C22⋊C4—942no—
1393C22⋊C4—942no—
1394C22⋊C4—942no—
1395C22⋊C4—942no—
1396C22⋊C4—942no—
1397C22⋊C4—942no—
1398C22⋊C4—942no—
1399C22⋊C4—942no—
1400C22⋊C4—942no—
1401C22⋊C4—942no—
1402C22⋊C4—942no—
1403C22⋊C4—942no—
1404C22⋊C4—942no—
1405C22⋊C4—942no—
1406C22⋊C4—942no—
1407C22⋊C4—1881no—
1408C22⋊C4—1881no—
1409C22⋊C4—1881no—
1410C22⋊C4—1881no—
1411C22⋊C4—1881no—
1412C22⋊C4—1881no—
1413C22⋊C4—1881no—
1414C22⋊C4—1881no—
1415C22⋊C4—1881no—
1416C22⋊C4—1881no—
1417C22⋊C4—1881no—
1418C22⋊C4—1881no—
1419C22⋊C4—1881no—
1420C22⋊C4—1881no—
1421C22⋊C4—1881no—
1422C22⋊C4—1881no—
1423C22⋊C4—1881no—
1424C22⋊C4—1881no—
1425C22⋊C4—1881no—
1426C22⋊C4—1881no—
1427C22⋊C4—1881no—
1428C42—22no—
1429C42—474no—
1430C42—942no—
1431C42—942no—
1432C42—942no—
1433C42—1881no—
1434C42—1881no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—472no—
1449C23—472no—
1450C23—472no—
1451C23—941no—
1452C23—941no—
1453C23—941no—
1454C23—941no—
1455C23—941no—
1456C23—941no—
1457C23—941no—
1458C23—941no—
1459C23—941no—
1460C23—941no—
1461C23—941no—
1462C23—941no—
1463C23—941no—
1464C23—941no—
1465C23—941no—
1466C23—941no—
1467C23—941no—
1468C23—941no—
1469C23—941no—
1470C23—941no—
1471C23—941no—
1472C23—941no—
1473C23—941no—
1474C23—941no—
1475C23—941no—
1476C23—1884no—
1477C23—1884no—
1478C23—1884no—
1479C23—1884no—
1480C23—1884no—
1481C23—1884no—
1482C23—1884no—
1483C23C2×D4×D4712yes—
1484C23C24×D4711yescharacteristic
1485Q8—82no—
1486Q8—3762no—
1487Q8—1884no—
1488Q8—1884no—
1489D4—44no—
1490D4—3762no—
1491D4—3762no—
1492D4—3762no—
1493D4—3762no—
1494D4—3762no—
1495D4—1884no—
1496D4—1884no—
1497D4—1884no—
1498D4—1884no—
1499D4—1884no—
1500D4—1884no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—44no—
1539C2×C4—44no—
1540C2×C4—472no—
1541C2×C4—472no—
1542C2×C4—472no—
1543C2×C4—472no—
1544C2×C4—948no—
1545C2×C4—941no—
1546C2×C4—941no—
1547C2×C4—941no—
1548C2×C4—941no—
1549C2×C4—941no—
1550C2×C4—941no—
1551C2×C4—941no—
1552C2×C4—941no—
1553C2×C4—941no—
1554C2×C4—941no—
1555C2×C4—941no—
1556C2×C4—941no—
1557C2×C4—941no—
1558C2×C4—941no—
1559C2×C4—941no—
1560C2×C4—941no—
1561C2×C4—941no—
1562C2×C4—941no—
1563C2×C4—941no—
1564C2×C4—941no—
1565C2×C4—941no—
1566C2×C4—941no—
1567C2×C4—941no—
1568C2×C4—941no—
1569C2×C4—941no—
1570C2×C4—941no—
1571C2×C4—941no—
1572C2×C4—941no—
1573C2×C4—941no—
1574C2×C4—941no—
1575C2×C4—941no—
1576C2×C4—941no—
1577C2×C4—3762no—
1578C2×C4—3762no—
1579C2×C4—1884no—
1580C2×C4—1884no—
1581C2×C4—1884no—
1582C2×C4—1884no—
1583C2×C4—1884no—
1584C2×C4—1884no—
1585C2×C4C2×D4×D4712yes—
1586C2×C4C2×D4×D4712yes—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—942no—
1602C22—942no—
1603C22—942no—
1604C22—942no—
1605C22—942no—
1606C22—942no—
1607C22—942no—
1608C22—942no—
1609C22—942no—
1610C22—18816no—
1611C22—1881no—
1612C22—1881no—
1613C22—1881no—
1614C22—1881no—
1615C22—1881no—
1616C22—1881no—
1617C22—1881no—
1618C22—1881no—
1619C22—1881no—
1620C22—1881no—
1621C22—1881no—
1622C22—1881no—
1623C22—1881no—
1624C22—1881no—
1625C22—1881no—
1626C22—1881no—
1627C22—1881no—
1628C22—1881no—
1629C22—1881no—
1630C22C22×D4×D4711yescharacteristic
1631C22H(5,𝔽2)×D4711yescharacteristic
1632C22H(5,𝔽2)×D4711yescharacteristic
1633C222−1+4×D4711yescharacteristic
1634C22#1568995911yescharacteristic
1635C22#1568995911yescharacteristic
1636C22#1568996011yescharacteristic
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—942no—
1651C4—942no—
1652C4—942no—
1653C4—942no—
1654C4—1881no—
1655C4—1881no—
1656C4—1881no—
1657C4—1881no—
1658C4—1881no—
1659C4—1881no—
1660C4—1881no—
1661C4—1881no—
1662C2—42no—
1663C2—81no—
1664C2—3761no—
1665C2—1882no—
1666C2—1882no—
1667C2—1882no—
1668C2#2025671811yescharacteristic
1669C2#2025702011yescharacteristic
1670C2#2025706611yescharacteristic
1671C2#2025756311yescharacteristic
1672C2#2025759011yescharacteristic
1673C2#2025765311yescharacteristic
1674C2#2025768011yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutator, socle, cosocleC23×C47C25
FittingC47×#2638C2
hypercenter#2638D47
hypocenterC47#36712
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2638

Complements

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

NH ≅ G/Ntype
1. C2×#15689743C2semidirect
2. C2×#15689632C2semidirect
3. #20251681C2semidirect
4. #20251672C2semidirect
5. #20249940C2semidirect
6. #20249925C2semidirect
7. #20249886C2semidirect
8. #20249871C2semidirect
9. #20249845C2semidirect
10. #20249800C2semidirect
11. #20249785C2semidirect
12. #20249770C2semidirect
13. #20249702C2semidirect
14. #20249688C2semidirect
15. #20249675C2semidirect
16. #20249668C2semidirect
17. #20249638C2semidirect
18. #20249630C2semidirect
19. #20249616C2semidirect
20. #20249598C2semidirect
21. #20249225C2semidirect
22. #20249067C2semidirect
23. #20248998C2semidirect
24. #20248963C2semidirect
25. #20248953C2semidirect
26. #20248745C2semidirect
27. #20248567C2semidirect
28. #20247014C2semidirect
29. #20246997C2semidirect
30. #20246017C2semidirect
31. C47×#2638C2semidirect
35. C2×#13094023C22semidirect
36. C2×#13094022C22semidirect
37. C2×#13094019C22semidirect
39. C2×#13094013C22semidirect
45. C2×#13094009C22semidirect
50. C2×#13094002C22semidirect
51. C2×#13094002C22semidirect
58. C2×#13093997C22semidirect
63. C2×#13093989C22semidirect
67. C2×#13093982C22semidirect
69. #15689065C22semidirect
70. #15689065C22semidirect
71. #15689059C22semidirect
74. #15689058C22semidirect
75. #15689057C22semidirect
76. #15689057C22semidirect
77. #15689056C22semidirect
80. #15689049C22semidirect
81. #15689047C22semidirect
82. #15689046C22semidirect
84. #15689045C22semidirect
85. #15689044C22semidirect
86. #15689043C22semidirect
87. #15689043C22semidirect
91. #15689041C22semidirect
94. #15689039C22semidirect
95. #15689039C22semidirect
98. #15689038C22semidirect
103. #15689036C22semidirect
104. #15689035C22semidirect
109. #15689027C22semidirect
114. #15689020C22semidirect
115. #15689020C22semidirect
116. #15689018C22semidirect
117. #15689017C22semidirect
118. #15689015C22semidirect
119. #15689014C22semidirect
127. #15689010C22semidirect
128. #15689010C22semidirect
129. #15689007C22semidirect
130. #15689006C22semidirect
131. #15689005C22semidirect
132. #15689005C22semidirect
133. #15689002C22semidirect
145. #15688999C22semidirect
146. #15688999C22semidirect
151. #15688997C22semidirect
152. #15688997C22semidirect
153. #15688996C22semidirect
160. #15688994C22semidirect
161. #15688990C22semidirect
162. #15688987C22semidirect
165. #15688982C22semidirect
168. #15688980C22semidirect
172. #15688970C22semidirect
173. #95×D47C22semidirect
176. C47×#398C22semidirect
179. C47×#397C22semidirect
180. C47×#395C22semidirect
183. C47×#393C22semidirect
184. C47×#387C22semidirect
185. C47×#387C22semidirect
186. C47×#385C22semidirect
187. C47×#385C22semidirect
249. C4×C22⋊D47D4semidirect
845. #2638D47semidirect
917. #398C2×D47semidirect
923. #397C2×D47semidirect
931. #395C2×D47semidirect
951. #393C2×D47semidirect
980. #387C2×D47semidirect
981. #387C2×D47semidirect
1010. #385C2×D47semidirect
1011. #385C2×D47semidirect
1026. C47#36712semidirect

Maximal subgroups

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

subgroupindex
C2×#156897432
C2×#156896322
#202516812
#202516722
#202499402
#202499252
#202498862
#202498712
#202498452
#202498002
#202497852
#202497702
#202497022
#202496882
#202496752
#202496682
#202496382
#202496302
#202496162
#202495982
#202492252
#202490672
#202489982
#202489632
#202489532
#202487452
#202485672
#202470142
#202469972
#202460172
C47×#26382
#3671247