Finite Group Databasebeta

← #26379965

Subgroups — #26379965

Order 12032.

2442 conjugacy classes of subgroups.

The subgroup lattice has 1606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689707C211yesmaximal, characteristic
2#20246562C211yesmaximal, characteristic, complemented
3#20246560C211yesmaximal, characteristic, complemented
4#20246537C211yesmaximal, characteristic, complemented
5#20246534C211yesmaximal, characteristic, complemented
6#20246455C211yesmaximal, characteristic, complemented
7#20246382C211yesmaximal, characteristic, complemented
8#20246379C211yesmaximal, characteristic, complemented
9#20246370C211yesmaximal, characteristic, complemented
10#20246369C211yesmaximal, characteristic, complemented
11#20246366C211yesmaximal, characteristic, complemented
12#20246365C211yesmaximal, characteristic, complemented
13#20246320C211yesmaximal, characteristic, complemented
14#20246316C211yesmaximal, characteristic, complemented
15#20246299C211yesmaximal, characteristic, complemented
16#20246294C211yesmaximal, characteristic, complemented
17#20246165C211yesmaximal, characteristic, complemented
18#20246163C211yesmaximal, characteristic, complemented
19#20246163C211yesmaximal, characteristic, complemented
20#20246160C211yesmaximal, characteristic, complemented
21#20246120C211yesmaximal, characteristic, complemented
22#20246092C211yesmaximal, characteristic, complemented
23#20246086C211yesmaximal, characteristic, complemented
24#20246085C211yesmaximal, characteristic, complemented
25#20246076C211yesmaximal, characteristic, complemented
26#20246074C211yesmaximal, characteristic, complemented
27#20245999C211yesmaximal, characteristic, complemented
28C4×#13094000C211yesmaximal, characteristic, complemented
29C4×#13093997C211yesmaximal, characteristic, complemented
30#388×D47C211yesmaximal, characteristic, complemented
31C47×#2367C211yesmaximal, characteristic, complemented
32#15689707C4116yescomplemented
33C2×#13094018C2211yescharacteristic
34C2×#13094017C2211yescharacteristic
35C2×#13094013C2211yescharacteristic
36C2×#13094008C2211yescharacteristic
37C2×#13094006C2211yescharacteristic
38C2×#13094000C2211yescharacteristic
39C2×#13093997C2211yescharacteristic
40C2×#13093997C2211yescharacteristic
41C2×#13093996C2211yescharacteristic
42C2×#13093994C2211yescharacteristic
43C2×#13093992C2211yescharacteristic
44C2×C4×D188C2211yescharacteristic
45C2×C4×D188C2211yescharacteristic
46C2×C4×D188C2211yescharacteristic
47C2×#13093986C2211yescharacteristic
48C2×C4×C22⋊D47C2211yescharacteristic
49C2×C4×C22⋊D47C2211yescharacteristic, complemented
50C2×(C22⋊D47)⋊C4C2211yescharacteristic
51C2×(C22⋊D47)⋊C4C2211yescharacteristic
52C2×(C22⋊D47)⋊C4C2211yescharacteristic
53C2×(C22⋊D47)⋊C4C2211yescharacteristic
54C2×#13093982C2211yescharacteristic, complemented
55C2×#13093980C2211yescharacteristic, complemented
56C2×C4⋊C4×D47C2211yescharacteristic
57C22×(C2×D47)⋊C4C2211yescharacteristic
58C2×C22⋊C4×D47C2211yescharacteristic
59C2×C22⋊C4×D47C2211yescharacteristic
60C2×C22⋊C4×D47C2211yescharacteristic
61C2×C22⋊C4×D47C2211yescharacteristic
62C2×C42×D47C2211yescharacteristic
63#15689030C2211yescharacteristic, complemented
64#15689030C2211yescharacteristic, complemented
65#15689025C2211yescharacteristic
66#15689023C2211yescharacteristic
67#15689023C2211yescharacteristic
68#15689023C2211yescharacteristic, complemented
69#15689021C2211yescharacteristic, complemented
70#15689021C2211yescharacteristic, complemented
71#15689020C2211yescharacteristic, complemented
72#15689020C2211yescharacteristic, complemented
73#15689020C2211yescharacteristic, complemented
74#15689019C2211yescharacteristic, complemented
75#15689018C2211yescharacteristic, complemented
76#15689018C2211yescharacteristic, complemented
77#15689017C2211yescharacteristic
78#15689016C2211yescharacteristic
79#15689016C2211yescharacteristic
80#15689016C2211yescharacteristic, complemented
81#15689016C2211yescharacteristic, complemented
82#15689015C2211yescharacteristic
83#15689015C2211yescharacteristic
84#15689014C2211yescharacteristic
85#15689014C2211yescharacteristic
86#15689014C2211yescharacteristic
87#15689014C2211yescharacteristic, complemented
88#15689014C2211yescharacteristic, complemented
89#15689013C2211yescharacteristic
90#15689013C2211yescharacteristic
91#15689013C2211yescharacteristic, complemented
92#15689012C2211yescharacteristic
93#15689012C2211yescharacteristic, complemented
94#15689011C2211yescharacteristic
95#15689011C2211yescharacteristic
96#15689011C2211yescharacteristic
97#15689010C2211yescharacteristic, complemented
98#15689010C2211yescharacteristic, complemented
99#15689008C2211yescharacteristic, complemented
100#15689008C2211yescharacteristic, complemented
101#15689008C2211yescharacteristic, complemented
102#15689007C2211yescharacteristic, complemented
103#15689007C2211yescharacteristic, complemented
104#15689006C2211yescharacteristic, complemented
105#15689005C2211yescharacteristic, complemented
106#15689004C2211yescharacteristic, complemented
107#15689004C2211yescharacteristic, complemented
108#15689004C2211yescharacteristic, complemented
109#15689003C2211yescharacteristic
110#15689003C2211yescharacteristic
111#15689002C2211yescharacteristic
112#15689002C2211yescharacteristic
113#15689001C2211yescharacteristic
114#15689001C2211yescharacteristic
115#15689001C2211yescharacteristic
116#15689001C2211yescharacteristic
117#15689000C2211yescharacteristic, complemented
118#15688999C2211yescharacteristic
119#15688999C2211yescharacteristic
120#15688999C2211yescharacteristic
121#15688999C2211yescharacteristic
122#15688999C2211yescharacteristic, complemented
123#15688998C2211yescharacteristic
124#15688998C2211yescharacteristic
125#15688998C2211yescharacteristic, complemented
126#15688998C2211yescharacteristic, complemented
127#15688997C2211yescharacteristic
128#15688997C2211yescharacteristic
129#15688997C2211yescharacteristic
130#15688997C2211yescharacteristic
131#15688997C2211yescharacteristic, complemented
132#15688996C2211yescharacteristic
133#15688996C2211yescharacteristic
134#15688995C2211yescharacteristic
135#15688994C2211yescharacteristic
136#15688994C2211yescharacteristic
137#15688994C2211yescharacteristic
138#15688994C2211yescharacteristic
139#15688994C2211yescharacteristic
140#15688994C2211yescharacteristic
141#15688994C2211yescharacteristic, complemented
142#15688994C2211yescharacteristic, complemented
143#15688989C2211yescharacteristic, complemented
144#15688989C2211yescharacteristic, complemented
145#15688987C2211yescharacteristic, complemented
146#15688987C2211yescharacteristic, complemented
147#15688982C2211yescharacteristic
148#15688982C2211yescharacteristic
149#15688982C2211yescharacteristic, complemented
150#15688981C2211yescharacteristic, complemented
151#15688981C2211yescharacteristic, complemented
152#15688980C2211yescharacteristic
153#15688980C2211yescharacteristic
154#15688980C2211yescharacteristic, complemented
155C4⋊C4×Dic47C2211yescharacteristic, complemented
156C4×Dic47⋊C4C2211yescharacteristic, complemented
157C4×Dic47⋊C4C2211yescharacteristic, complemented
158C4×Dic47⋊C4C2211yescharacteristic, complemented
159C4×Dic47⋊C4C2211yescharacteristic, complemented
160C4×C4⋊Dic47C2211yescharacteristic, complemented
161C22⋊C4×Dic47C2211yescharacteristic
162C4×(C2×D47)⋊C4C2211yescharacteristic
163C4×(C2×D47)⋊C4C2211yescharacteristic
164C4×(C2×D47)⋊C4C2211yescharacteristic
165C4×(C2×D47)⋊C4C2211yescharacteristic
166C4×(C2×D47)⋊C4C2211yescharacteristic
167C4×(C2×D47)⋊C4C2211yescharacteristic, complemented
168#15688970C2211yescharacteristic
169C2×C47⋊#95C2211yescharacteristic, complemented
170#95×D47C2211yescharacteristic
171#95×D47C2211yescharacteristic
172#95×D47C2211yescharacteristic, complemented
173C2×#124×C47C2211yescharacteristic
174C2×C4×Q8×C47C2211yescharacteristic, complemented
175C2×C4×D4×C47C2211yescharacteristic
176C47×#391C2211yescharacteristic, complemented
177C47×#390C2211yescharacteristic
178C47×#388C2211yescharacteristic
179C47×#388C2211yescharacteristic
180C47×#388C2211yescharacteristic, complemented
181C47×#388C2211yescharacteristic, complemented
182C47×#385C2211yescharacteristic
183C47×#385C2211yescharacteristic, complemented
184C4×C4⋊C4×C47C2211yescharacteristic, complemented
185C4×C4⋊C4×C47C2211yescharacteristic, complemented
186C4×C22⋊C4×C47C2211yescharacteristic
187C4×C22⋊C4×C47C2211yescharacteristic, complemented
188C24×D47C2311yescharacteristic
189C22×D188C2311yescharacteristic
190C22×D188C2311yescharacteristic
191C22×C22⋊D47C2311yescharacteristic
192C22×C22⋊D47C2311yescharacteristic
193C22×C22⋊D47C2311yescharacteristic
194C22×C22⋊D47C2311yescharacteristic
195C23×Dic47C2311yescharacteristic
196C23×Dic47C2311yescharacteristic
197C23×Dic47C2311yescharacteristic
198C22×C4×D47C2311yescharacteristic
199C22×C4×D47C2311yescharacteristic
200C22×C4×D47C2311yescharacteristic
201C22×C4×D47C2311yescharacteristic
202C22×C4×D47C2311yescharacteristic
203C22×C4×D47C2311yescharacteristic
204C22×C4×D47C2311yescharacteristic
205C22×C4×D47C2311yescharacteristic
206C22×C4×D47C2311yescharacteristic
207C22×C4×D47C2311yescharacteristic
208C22×C4×D47C2311yescharacteristic
209#13094018C2×C418yescomplemented
210#13094017C2×C418yescomplemented
211#13094013C2×C418yescomplemented
212#13094008C2×C418yescomplemented
213#13094006C2×C418yescomplemented
214#13094000C2×C418yescomplemented
215#13093997C2×C418yescomplemented
216#13093997C2×C418yescomplemented
217#13093996C2×C418yescomplemented
218#13093994C2×C418yescomplemented
219#13093992C2×C418yescomplemented
220C4×D188—42no—
221C4×D188—42no—
222C4×D188C2×C418yescomplemented
223#13093986—42no—
224C4×C22⋊D47—42no—
225C4×C22⋊D47—42no—
226(C22⋊D47)⋊C4—42no—
227(C22⋊D47)⋊C4—42no—
228(C22⋊D47)⋊C4—42no—
229(C22⋊D47)⋊C4C2×C418yescomplemented
230#13093982—42no—
231#13093980—42no—
232C2×C4⋊Dic47C2311yescharacteristic
233C2×C4⋊Dic47C2311yescharacteristic
234C2×C4⋊Dic47C2311yescharacteristic
235C2×C4⋊Dic47C2311yescharacteristic
236C2×C4⋊Dic47C2311yescharacteristic
237C2×C4⋊Dic47C2311yescharacteristic
238C2×C4⋊Dic47C2311yescharacteristic
239C2×C4⋊Dic47C2311yescharacteristic
240C2×Dic47⋊C4C2311yescharacteristic
241C2×Dic47⋊C4C2311yescharacteristic
242C2×Dic47⋊C4C2311yescharacteristic
243C2×Dic47⋊C4C2311yescharacteristic
244C2×Dic47⋊C4C2311yescharacteristic
245C2×Dic47⋊C4C2311yescharacteristic
246C2×Dic47⋊C4C2311yescharacteristic
247C2×Dic47⋊C4C2311yescharacteristic
248C2×Dic47⋊C4C2311yescharacteristic
249C2×Dic47⋊C4C2311yescharacteristic
250C2×Dic47⋊C4C2311yescharacteristic
251C2×Dic47⋊C4C2311yescharacteristic
252C2×Dic47⋊C4C2311yescharacteristic
253C2×Dic47⋊C4C2311yescharacteristic
254C2×Dic47⋊C4C2311yescharacteristic
255C2×Dic47⋊C4C2311yescharacteristic
256C4⋊C4×D47—42no—
257C2×C22⋊Dic47C2311yescharacteristic
258C2×C22⋊Dic47C2311yescharacteristic
259C2×C22⋊Dic47C2311yescharacteristic
260C2×C22⋊Dic47C2311yescharacteristic
261C2×C22⋊Dic47C2311yescharacteristic
262C2×C22⋊Dic47C2311yescharacteristic
263C2×C22⋊Dic47C2311yescharacteristic
264C2×C22⋊Dic47C2311yescharacteristic
265C2×(C2×D47)⋊C4—42no—
266C2×(C2×D47)⋊C4C2311yescharacteristic
267C2×(C2×D47)⋊C4C2311yescharacteristic
268C2×(C2×D47)⋊C4C2311yescharacteristic
269C2×(C2×D47)⋊C4C2311yescharacteristic
270C2×(C2×D47)⋊C4C2311yescharacteristic
271C2×(C2×D47)⋊C4C2311yescharacteristic
272C2×(C2×D47)⋊C4C2311yescharacteristic
273C2×(C2×D47)⋊C4C2311yescharacteristic
274C2×(C2×D47)⋊C4C2311yescharacteristic
275C2×(C2×D47)⋊C4C2311yescharacteristic
276C2×(C2×D47)⋊C4C2311yescharacteristic
277C2×(C2×D47)⋊C4C2311yescharacteristic
278C2×(C2×D47)⋊C4C2311yescharacteristic
279C2×(C2×D47)⋊C4C2311yescharacteristic
280C2×(C2×D47)⋊C4C2311yescharacteristic
281C2×(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
290C22⋊C4×D47—42no—
291C22⋊C4×D47—42no—
292C22⋊C4×D47—42no—
293C22⋊C4×D47C2×C418yescomplemented
294C2×C4×Dic47C2311yescharacteristic
295C2×C4×Dic47C2311yescharacteristic
296C2×C4×Dic47C2311yescharacteristic
297C2×C4×Dic47C2311yescharacteristic
298C2×C4×Dic47C2311yescharacteristic
299C2×C4×Dic47C2311yescharacteristic
300C2×C4×Dic47C2311yescharacteristic
301C2×C4×Dic47C2311yescharacteristic
302C2×C4×Dic47C2311yescharacteristic
303C2×C4×Dic47C2311yescharacteristic
304C2×C4×Dic47C2311yescharacteristic
305C42×D47—42no—
306C47⋊#95C2311yescharacteristic
307C47⋊#95C2311yescharacteristic
308C47⋊#95C2311yescharacteristic
309C47⋊#95C2311yescharacteristic
310C47⋊#95C2311yescharacteristic
311C47⋊#95C2311yescharacteristic
312C47⋊#95C2311yescharacteristic
313C47⋊#95C2311yescharacteristic
314C47⋊#95C2311yescharacteristic
315C47⋊#95C2311yescharacteristic
316C47⋊#95C2311yescharacteristic
317C47⋊#95C2311yescharacteristic
318C47⋊#95C2311yescharacteristic
319C47⋊#95C2311yescharacteristic
320C47⋊#95C2311yescharacteristic
321C47⋊#95C2311yescharacteristic
322C47⋊#95C2311yescharacteristic
323C47⋊#95C2311yescharacteristic
324C47⋊#95C2311yescharacteristic
325C47⋊#95C2311yescharacteristic
326C47⋊#95C2311yescharacteristic
327C47⋊#95C2311yescharacteristic
328C47⋊#95C2311yescharacteristic
329C47⋊#95C2311yescharacteristic
330C47⋊#95C2311yescharacteristic
331C47⋊#95C2311yescharacteristic
332C47⋊#95C2311yescharacteristic
333C47⋊#95C2311yescharacteristic
334C47⋊#95C2311yescharacteristic
335C47⋊#95C2311yescharacteristic
336C47⋊#95C2311yescharacteristic
337C47⋊#95C2311yescharacteristic
338C22×Q8×C47C2311yescharacteristic
339C22×D4×C47C2311yescharacteristic
340C23×C4×C47C2311yescharacteristic
341C23×C4×C47C2311yescharacteristic
342#124×C47C2×C418yescomplemented
343C4×Q8×C47—42no—
344C4×D4×C47—42no—
345C2×C4⋊C4×C47C2311yescharacteristic
346C2×C4⋊C4×C47C2311yescharacteristic
347C2×C4⋊C4×C47C2311yescharacteristic
348C2×C4⋊C4×C47C2311yescharacteristic
349C2×C4⋊C4×C47C2311yescharacteristic
350C2×C4⋊C4×C47C2311yescharacteristic
351C2×C22⋊C4×C47C2311yescharacteristic
352C2×C22⋊C4×C47C2311yescharacteristic
353C2×C22⋊C4×C47C2311yescharacteristic
354C2×C22⋊C4×C47C2311yescharacteristic
355C2×C22⋊C4×C47C2311yescharacteristic
356C2×C22⋊C4×C47C2311yescharacteristic
357C2×C22⋊C4×C47C2311yescharacteristic
358C2×C22⋊C4×C47C2311yescharacteristic
359C2×C22⋊C4×C47C2311yescharacteristic
360C2×C22⋊C4×C47C2311yescharacteristic
361C2×C42×C47C2311yescharacteristic
362C2×C42×C47C2311yescharacteristic
363C2×C42×C47C2311yescharacteristic
364C2×C42×C47C2311yescharacteristic
365C2×C42×C47C2311yescharacteristic
366C2×C42×C47C2311yescharacteristic
367C2×C42×C47C2311yescharacteristic
368#95×C47C2311yescharacteristic
369#95×C47C2311yescharacteristic
370#95×C47C2311yescharacteristic
371#95×C47C2311yescharacteristic
372#95×C47C2311yescharacteristic
373#95×C47C2311yescharacteristic
374#95×C47C2311yescharacteristic
375#95×C47C2311yescharacteristic
376C24×C47C2411yescharacteristic
377C24×C47C2411yescharacteristic
378C23×D47—22no—
379C23×D47—22no—
380C23×D47—41no—
381C23×D47—41no—
382C23×D47—41no—
383C23×D47—41no—
384C23×D47C22×C414yes—
385C23×D47C2411yescharacteristic
386C23×D47C2411yescharacteristic
387C23×D47C2411yescharacteristic
388C2×Q8×C47—41no—
389C2×Q8×C47—41no—
390C2×Q8×C47C22×C414yes—
391C2×D4×C47—41no—
392C2×D4×C47—41no—
393C2×D4×C47C22×C414yes—
394C22×C4×C47—22no—
395C22×C4×C47—41no—
396C22×C4×C47—41no—
397C22×C4×C47—41no—
398C22×C4×C47—41no—
399C22×C4×C47—41no—
400C22×C4×C47C2411yescharacteristic
401C22×C4×C47C2411yescharacteristic
402C22×C4×C47C2411yescharacteristic
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
413C2×C22⋊D47—22no—
414C2×C22⋊D47—22no—
415C2×C22⋊D47—41no—
416C2×C22⋊D47—41no—
417C2×C22⋊D47—41no—
418C2×C22⋊D47—41no—
419C2×C22⋊D47—41no—
420C2×C22⋊D47—41no—
421C2×C22⋊D47C22×C414yes—
422C2×C22⋊D47C22×C414yes—
423C2×C22⋊D47C22×C414yes—
424C2×C22⋊D47C22×C414yes—
425C22×Dic47—41no—
426C22×Dic47—41no—
427C22×Dic47—41no—
428C22×Dic47—41no—
429C22×Dic47—41no—
430C22×Dic47—41no—
431C22×Dic47—41no—
432C22×Dic47—41no—
433C22×Dic47C22×C414yes—
434C22×Dic47C2411yescharacteristic
435C22×Dic47C2411yescharacteristic
436C22×Dic47C2411yescharacteristic
437C22×Dic47C2411yescharacteristic
438C22×Dic47C2411yescharacteristic
439C22×Dic47C2411yescharacteristic
440C22×Dic47C2411yescharacteristic
441C22×Dic47C2411yescharacteristic
442C22×Dic47C2411yescharacteristic
443C22×Dic47C2411yescharacteristic
444C22×Dic47C2411yescharacteristic
445C22×Dic47C2411yescharacteristic
446C22×Dic47C2411yescharacteristic
447C2×D188—22no—
448C2×D188—22no—
449C2×D188—41no—
450C2×D188—41no—
451C2×D188C22×C414yes—
452C2×D188C22×C414yes—
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—41no—
461C2×C4×D47—41no—
462C2×C4×D47—41no—
463C2×C4×D47—41no—
464C2×C4×D47—41no—
465C2×C4×D47—41no—
466C2×C4×D47—41no—
467C2×C4×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×D47—41no—
482C2×C4×D47—41no—
483C2×C4×D47C22×C414yes—
484C2×C4×D47C22×C414yes—
485C2×C4×D47C22×C414yes—
486C4⋊C4×C47—22no—
487C4⋊C4×C47—22no—
488C4⋊C4×C47—22no—
489C4⋊C4×C47—41no—
490C4⋊C4×C47—41no—
491C4⋊C4×C47—41no—
492C22⋊C4×C47—22no—
493C22⋊C4×C47—22no—
494C22⋊C4×C47—22no—
495C22⋊C4×C47—41no—
496C22⋊C4×C47—41no—
497C22⋊C4×C47—41no—
498C22⋊C4×C47C22×C414yes—
499C22⋊C4×C47C22×C414yes—
500C22⋊C4×C47C22×C414yes—
501C22⋊C4×C47C22×C414yes—
502C42×C47—22no—
503C42×C47—41no—
504C42×C47—41no—
505C42×C47—41no—
506C42×C47—41no—
507C42×C47—41no—
508C42×C47C22×C414yes—
509C22⋊Dic47—41no—
510C22⋊Dic47—41no—
511C22⋊Dic47—41no—
512C22⋊Dic47—41no—
513C22⋊Dic47—41no—
514C22⋊Dic47—41no—
515C22⋊Dic47C22×C414yes—
516C22⋊Dic47C22×C414yes—
517(C2×D47)⋊C4—22no—
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—41no—
525(C2×D47)⋊C4—41no—
526(C2×D47)⋊C4—41no—
527(C2×D47)⋊C4—41no—
528(C2×D47)⋊C4—41no—
529(C2×D47)⋊C4—41no—
530(C2×D47)⋊C4—41no—
531(C2×D47)⋊C4—41no—
532(C2×D47)⋊C4—41no—
533(C2×D47)⋊C4C22×C414yes—
534(C2×D47)⋊C4C22×C414yes—
535(C2×D47)⋊C4C22×C414yes—
536(C2×D47)⋊C4C22×C414yes—
537(C2×D47)⋊C4C22×C414yes—
538(C2×D47)⋊C4C22×C414yes—
539(C2×D47)⋊C4C22×C414yes—
540(C2×D47)⋊C4C22×C414yes—
541C4⋊Dic47—41no—
542C4⋊Dic47—41no—
543C4⋊Dic47—41no—
544C4⋊Dic47—41no—
545C4⋊Dic47—41no—
546C4⋊Dic47—41no—
547C4⋊Dic47C22×C414yes—
548C4⋊Dic47C22×C414yes—
549Dic47⋊C4—22no—
550Dic47⋊C4—41no—
551Dic47⋊C4—41no—
552Dic47⋊C4—41no—
553Dic47⋊C4—41no—
554Dic47⋊C4—41no—
555Dic47⋊C4—41no—
556Dic47⋊C4—41no—
557Dic47⋊C4—41no—
558Dic47⋊C4—41no—
559Dic47⋊C4—41no—
560Dic47⋊C4—41no—
561Dic47⋊C4C22×C414yes—
562Dic47⋊C4C22×C414yes—
563Dic47⋊C4C22×C414yes—
564Dic47⋊C4C22×C414yes—
565C4×Dic47—22no—
566C4×Dic47—22no—
567C4×Dic47—22no—
568C4×Dic47—41no—
569C4×Dic47—41no—
570C4×Dic47—41no—
571C4×Dic47—41no—
572C4×Dic47—41no—
573C4×Dic47—41no—
574C4×Dic47—41no—
575C4×Dic47C22×C414yes—
576C23×C47—21no—
577C23×C47—21no—
578C23×C47—21no—
579C23×C47—21no—
580C23×C47—21no—
581C23×C47—21no—
582C23×C47—21no—
583C23×C47—21no—
584C23×C47—21no—
585C23×C47—21no—
586C23×C47—21no—
587C23×C47—21no—
588C23×C47C23×C412yes—
589C23×C47C23×C412yes—
590C23×C47C2511yescharacteristic
591C22×D47—21no—
592C22×D47—21no—
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—21no—
604C22×D47—21no—
605C22×D47—21no—
606C22×D47—21no—
607C22×D47—28no—
608C22×D47—44no—
609C22×D47—44no—
610C22×D47—82no—
611C22×D47—82no—
612C22×D47—82no—
613C22×D47—82no—
614C22×D47C23×C412yes—
615C22×D47C23×C412yes—
616C22×D47C23×C412yes—
617C22×D47H(5,𝔽2)12yes—
618C22×D472−1+412yes—
619Q8×C47—44no—
620D4×C47—44no—
621C2×C4×C47—21no—
622C2×C4×C47—21no—
623C2×C4×C47—21no—
624C2×C4×C47—21no—
625C2×C4×C47—21no—
626C2×C4×C47—21no—
627C2×C4×C47—21no—
628C2×C4×C47—21no—
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—82no—
654C2×C4×C47—82no—
655C2×C4×C47C23×C412yes—
656C2×C4×C47C23×C412yes—
657C2×C4×C47C23×C412yes—
658C2×C4×C47C23×C412yes—
659C2×C4×C47C23×C412yes—
660C2×C4×C47H(5,𝔽2)12yes—
661C2×C4×C47H(5,𝔽2)12yes—
662C22⋊D47—28no—
663C22⋊D47—44no—
664C22⋊D47—44no—
665C22⋊D47—44no—
666C2×Dic47—21no—
667C2×Dic47—21no—
668C2×Dic47—21no—
669C2×Dic47—21no—
670C2×Dic47—21no—
671C2×Dic47—21no—
672C2×Dic47—21no—
673C2×Dic47—21no—
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—44no—
701C2×Dic47—82no—
702C2×Dic47—82no—
703C2×Dic47C23×C412yes—
704C2×Dic47C23×C412yes—
705C2×Dic47C23×C412yes—
706C2×Dic47C23×C412yes—
707C2×Dic47C23×C412yes—
708D188—28no—
709D188—44no—
710C4×D47—44no—
711C4×D47—44no—
712C4×D47—44no—
713C4×D47—44no—
714C4×D47—44no—
715C4×D47—82no—
716C4×D47—82no—
717C4×D47—82no—
718C4×D47—82no—
719C4×D47—82no—
720C4×D47—82no—
721#34424—471nomaximal, Sylow
722C22×C47—22no—
723C22×C47—22no—
724C22×C47—22no—
725C22×C47—22no—
726C22×C47—22no—
727C22×C47—22no—
728C22×C47—41no—
729C22×C47—41no—
730C22×C47—41no—
731C22×C47—41no—
732C22×C47—41no—
733C22×C47—41no—
734C22×C47—41no—
735C22×C47—41no—
736C22×C47C24×C411yescharacteristic
737C22×C47C2×H(5,𝔽2)11yescharacteristic
738C22×C47C2×H(5,𝔽2)11yescharacteristic
739C22×C47C2×H(5,𝔽2)11yescharacteristic
740C22×C47C2×2−1+411yescharacteristic
741C22×C47#58511yescharacteristic
742C22×C47#58511yescharacteristic
743C2×D47—22no—
744C2×D47—22no—
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—22no—
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—88no—
764C2×D47#52014yes—
765C4×C47—22no—
766C4×C47—22no—
767C4×C47—22no—
768C4×C47—22no—
769C4×C47—22no—
770C4×C47—22no—
771C4×C47—22no—
772C4×C47—41no—
773C4×C47—41no—
774C4×C47—41no—
775C4×C47—41no—
776C4×C47—41no—
777C4×C47—41no—
778Dic47—22no—
779Dic47—22no—
780Dic47—22no—
781Dic47—22no—
782Dic47—22no—
783Dic47—41no—
784Dic47—41no—
785Dic47—41no—
786Dic47—41no—
787Dic47—41no—
788Dic47—41no—
789Dic47—41no—
790Dic47—41no—
791C2×#538—471no—
792#2379—471no—
793#2379—471no—
794#2376—471no—
795#2376—471no—
796#2367—471no—
797#2367D4711yescharacteristic, complemented
798#2359—471no—
799#2359—471no—
800#2358—471no—
801#2358—471no—
802#2358—471no—
803#2358—471no—
804#2352—471no—
805#2352—471no—
806#2349—471no—
807#2349—471no—
808#2334—471no—
809#2334—471no—
810#2334—471no—
811#2334—471no—
812#2329—471no—
813#2325—471no—
814#2325—471no—
815#2325—471no—
816#2324—471no—
817#2324—471no—
818#2315—471no—
819C4×C22⋊Q8—471no—
820C4×#121—471no—
821C2×#388—471no—
822C2×C47—42no—
823C2×C47—42no—
824C2×C47C2×#52011yescharacteristic
825C2×C47C4×H(5,𝔽2)11yescharacteristic
826C2×C47C4×H(5,𝔽2)11yescharacteristic
827C2×C47#353411yescharacteristic
828C2×C47#353611yescharacteristic
829C2×C47#355811yescharacteristic
830C2×C47#356411yescharacteristic
831D47—24no—
832D47—42no—
833D47—42no—
834#538—4716no—
835C2×#126—471no—
836C2×#126—471no—
837C2×#124—471no—
838C2×#124C2×D4711yescharacteristic
839C2×#123—471no—
840C2×#123—471no—
841C2×C22⋊Q8—471no—
842C2×#121—471no—
843C2×#121—471no—
844C2×#121—471no—
845C2×#120—471no—
846C2×#120—471no—
847C2×C4×Q8C2×D4711yescharacteristic, complemented
848C2×C4×D4—471no—
849C2×C4×D4—471no—
850C2×C4×D4—471no—
851C2×C4×D4—471no—
852C2×C4×D4—471no—
853C2×C4×D4—471no—
854C2×C4×D4—471no—
855C2×C4×D4—471no—
856C2×C4×D4—471no—
857C2×C4×D4—471no—
858C2×C4×D4C2×D4711yescharacteristic
859C2×#117—471no—
860C2×#117—471no—
861C22×C4⋊C4—471no—
862C22×C22⋊C4—471no—
863C22×C22⋊C4—471no—
864C22×C22⋊C4—471no—
865C22×C22⋊C4—471no—
866C22×C22⋊C4—471no—
867C22×C42—471no—
868#391—471no—
869#391—471no—
870#391C2×D4711yescharacteristic, complemented
871#390—471no—
872#390—471no—
873#390—471no—
874#390—471no—
875#390C2×D4711yescharacteristic
876#389—471no—
877#389—471no—
878#389—471no—
879#389—471no—
880#389—471no—
881#389—471no—
882#389—471no—
883#389—471no—
884#388—471no—
885#388—471no—
886#388—471no—
887#388—471no—
888#388—471no—
889#388—471no—
890#388—471no—
891#388—471no—
892#388—471no—
893#388—471no—
894#388—471no—
895#388—471no—
896#388—471no—
897#388—471no—
898#388—471no—
899#388—471no—
900#388—471no—
901#388—471no—
902#388—471no—
903#388—471no—
904#388C2×D4711yescharacteristic
905#388C2×D4711yescharacteristic
906#388C2×D4711yescharacteristic, complemented
907#388C2×D4711yescharacteristic, complemented
908#387—471no—
909#387—471no—
910#387—471no—
911#387—471no—
912#387—471no—
913#387—471no—
914#387—471no—
915#387—471no—
916#387—471no—
917#387—471no—
918#387—471no—
919#387—471no—
920#386—471no—
921#386—471no—
922#386—471no—
923#386—471no—
924#386—471no—
925#386—471no—
926#386—471no—
927#386—471no—
928#386—471no—
929#386—471no—
930#386—471no—
931#386—471no—
932#386—471no—
933#386—471no—
934#385—471no—
935#385—471no—
936#385—471no—
937#385—471no—
938#385—471no—
939#385—471no—
940#385—471no—
941#385—471no—
942#385—471no—
943#385—471no—
944#385—471no—
945#385—471no—
946#385—471no—
947#385—471no—
948#385—471no—
949#385—471no—
950#385—471no—
951#385—471no—
952#385—471no—
953#385—471no—
954#385C2×D4711yescharacteristic
955#385C2×D4711yescharacteristic, complemented
956#382—471no—
957#382—471no—
958#382—471no—
959#382—471no—
960#380—471no—
961#380—471no—
962#380—471no—
963#380—471no—
964#380—471no—
965#380—471no—
966#380—471no—
967#380—471no—
968C4×C4⋊C4—471no—
969C4×C4⋊C4—471no—
970C4×C4⋊C4—471no—
971C4×C4⋊C4—471no—
972C4×C4⋊C4—471no—
973C4×C4⋊C4—471no—
974C4×C4⋊C4C2×D4711yescharacteristic, complemented
975C4×C4⋊C4C2×D4711yescharacteristic, complemented
976C4×C22⋊C4—471no—
977C4×C22⋊C4—471no—
978C4×C22⋊C4—471no—
979C4×C22⋊C4—471no—
980C4×C22⋊C4—471no—
981C4×C22⋊C4—471no—
982C4×C22⋊C4—471no—
983C4×C22⋊C4—471no—
984C4×C22⋊C4C2×D4711yescharacteristic
985C4×C22⋊C4C2×D4711yescharacteristic, complemented
986C2×#95—471no—
987C2×#95—471no—
988C2×#95—471no—
989C2×#95—471no—
990C47#3442411yescharacteristic, complemented, Sylow
991C25—471no—
992C22×Q8C22×D4711yescharacteristic
993C22×D4—471no—
994C22×D4—471no—
995C22×D4—471no—
996C22×D4—471no—
997C22×D4—471no—
998C22×D4—471no—
999C22×D4C22×D4711yescharacteristic
1000C23×C4—471no—
1001C23×C4—471no—
1002C23×C4—471no—
1003C23×C4—471no—
1004C23×C4—471no—
1005C23×C4—471no—
1006C23×C4—471no—
1007C23×C4—471no—
1008C23×C4—471no—
1009C23×C4—471no—
1010C23×C4—471no—
1011C23×C4—471no—
1012C23×C4—471no—
1013C23×C4—471no—
1014C23×C4C22×D4711yescharacteristic
1015C23×C4C22×D4711yescharacteristic
1016#126—478no—
1017#126—478no—
1018#124—478no—
1019#124C4×D4718yescomplemented
1020#123—478no—
1021#123—478no—
1022C22⋊Q8—478no—
1023#121—478no—
1024#121—478no—
1025#121—478no—
1026#120—478no—
1027#120—478no—
1028C4×Q8—42no—
1029C4×D4—42no—
1030C4×D4—478no—
1031C4×D4—478no—
1032C4×D4—1882no—
1033C4×D4—1882no—
1034C4×D4—1882no—
1035C4×D4—1882no—
1036C4×D4—1882no—
1037C4×D4—1882no—
1038C4×D4—1882no—
1039C4×D4—1882no—
1040#117—1882no—
1041#117—1882no—
1042C2×C4⋊C4—471no—
1043C2×C4⋊C4—471no—
1044C2×C4⋊C4—471no—
1045C2×C4⋊C4—471no—
1046C2×C4⋊C4—471no—
1047C2×C4⋊C4—471no—
1048C2×C4⋊C4—471no—
1049C2×C4⋊C4—471no—
1050C2×C4⋊C4—471no—
1051C2×C4⋊C4—471no—
1052C2×C4⋊C4—471no—
1053C2×C4⋊C4—471no—
1054C2×C4⋊C4—471no—
1055C2×C4⋊C4—471no—
1056C2×C4⋊C4—471no—
1057C2×C4⋊C4—471no—
1058C2×C4⋊C4—471no—
1059C2×C4⋊C4—471no—
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—1882no—
1067C2×C4⋊C4C22×D4711yescharacteristic
1068C2×C4⋊C4C22×D4711yescharacteristic
1069C2×C4⋊C4C22×D4711yescharacteristic
1070C2×C4⋊C4C22×D4711yescharacteristic
1071C2×C4⋊C4C22×D4711yescharacteristic
1072C2×C4⋊C4C22×D4711yescharacteristic
1073C2×C22⋊C4—471no—
1074C2×C22⋊C4—471no—
1075C2×C22⋊C4—471no—
1076C2×C22⋊C4—471no—
1077C2×C22⋊C4—471no—
1078C2×C22⋊C4—471no—
1079C2×C22⋊C4—471no—
1080C2×C22⋊C4—471no—
1081C2×C22⋊C4—471no—
1082C2×C22⋊C4—471no—
1083C2×C22⋊C4—478no—
1084C2×C22⋊C4—471no—
1085C2×C22⋊C4—471no—
1086C2×C22⋊C4—471no—
1087C2×C22⋊C4—471no—
1088C2×C22⋊C4—471no—
1089C2×C22⋊C4—471no—
1090C2×C22⋊C4—471no—
1091C2×C22⋊C4—471no—
1092C2×C22⋊C4—471no—
1093C2×C22⋊C4—471no—
1094C2×C22⋊C4—471no—
1095C2×C22⋊C4—471no—
1096C2×C22⋊C4—471no—
1097C2×C22⋊C4—471no—
1098C2×C22⋊C4—471no—
1099C2×C22⋊C4—471no—
1100C2×C22⋊C4—471no—
1101C2×C22⋊C4—471no—
1102C2×C22⋊C4—471no—
1103C2×C22⋊C4—471no—
1104C2×C22⋊C4—471no—
1105C2×C22⋊C4—471no—
1106C2×C22⋊C4—1882no—
1107C2×C22⋊C4—1882no—
1108C2×C22⋊C4—1882no—
1109C2×C22⋊C4—1882no—
1110C2×C22⋊C4C22×D4711yescharacteristic
1111C2×C22⋊C4C22×D4711yescharacteristic
1112C2×C22⋊C4C22×D4711yescharacteristic
1113C2×C22⋊C4C22×D4711yescharacteristic
1114C2×C22⋊C4C22×D4711yescharacteristic
1115C2×C22⋊C4C22×D4711yescharacteristic
1116C2×C22⋊C4C22×D4711yescharacteristic
1117C2×C22⋊C4C22×D4711yescharacteristic
1118C2×C22⋊C4C22×D4711yescharacteristic
1119C2×C22⋊C4C22×D4711yescharacteristic
1120C2×C42—471no—
1121C2×C42—471no—
1122C2×C42—471no—
1123C2×C42—471no—
1124C2×C42—471no—
1125C2×C42—471no—
1126C2×C42—471no—
1127C2×C42—471no—
1128C2×C42—471no—
1129C2×C42—471no—
1130C2×C42—471no—
1131C2×C42—1882no—
1132C2×C42C22×D4711yescharacteristic
1133C2×C42C22×D4711yescharacteristic
1134C2×C42C22×D4711yescharacteristic
1135C2×C42C22×D4711yescharacteristic
1136C2×C42C22×D4711yescharacteristic
1137C2×C42C22×D4711yescharacteristic
1138C2×C42C22×D4711yescharacteristic
1139#95—471no—
1140#95—471no—
1141#95—471no—
1142#95—471no—
1143#95—471no—
1144#95—471no—
1145#95—471no—
1146#95—471no—
1147#95—471no—
1148#95—471no—
1149#95—471no—
1150#95—471no—
1151#95—471no—
1152#95—471no—
1153#95—471no—
1154#95—471no—
1155#95—471no—
1156#95—471no—
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#95C22×D4711yescharacteristic
1172#95C22×D4711yescharacteristic
1173#95C22×D4711yescharacteristic
1174#95C22×D4711yescharacteristic
1175#95C22×D4711yescharacteristic
1176#95C22×D4711yescharacteristic
1177#95C22×D4711yescharacteristic
1178#95C22×D4711yescharacteristic
1179C24—471no—
1180C24—471no—
1181C24—471no—
1182C24—474no—
1183C24—942no—
1184C24—942no—
1185C24—1881no—
1186C24—1881no—
1187C24—1881no—
1188C24—1881no—
1189C24C23×D4711yescharacteristic
1190C24C23×D4711yescharacteristic
1191C2×Q8—41no—
1192C2×Q8—41no—
1193C2×Q8C2×C4×D4714yes—
1194C2×D4—41no—
1195C2×D4—41no—
1196C2×D4—474no—
1197C2×D4—474no—
1198C2×D4—474no—
1199C2×D4—474no—
1200C2×D4—474no—
1201C2×D4—474no—
1202C2×D4—942no—
1203C2×D4—942no—
1204C2×D4—942no—
1205C2×D4—942no—
1206C2×D4—1881no—
1207C2×D4—1881no—
1208C2×D4—1881no—
1209C2×D4—1881no—
1210C2×D4—1881no—
1211C2×D4—1881no—
1212C2×D4—1881no—
1213C2×D4—1881no—
1214C2×D4C2×C4×D4714yes—
1215C22×C4—22no—
1216C22×C4—41no—
1217C22×C4—41no—
1218C22×C4—41no—
1219C22×C4—41no—
1220C22×C4—41no—
1221C22×C4—471no—
1222C22×C4—471no—
1223C22×C4—471no—
1224C22×C4—471no—
1225C22×C4—471no—
1226C22×C4—474no—
1227C22×C4—474no—
1228C22×C4—474no—
1229C22×C4—474no—
1230C22×C4—471no—
1231C22×C4—471no—
1232C22×C4—471no—
1233C22×C4—471no—
1234C22×C4—471no—
1235C22×C4—471no—
1236C22×C4—471no—
1237C22×C4—471no—
1238C22×C4—942no—
1239C22×C4—942no—
1240C22×C4—942no—
1241C22×C4—942no—
1242C22×C4—942no—
1243C22×C4—942no—
1244C22×C4—942no—
1245C22×C4—1881no—
1246C22×C4—1881no—
1247C22×C4—1881no—
1248C22×C4—1881no—
1249C22×C4—1881no—
1250C22×C4—1881no—
1251C22×C4—1881no—
1252C22×C4—1881no—
1253C22×C4—1881no—
1254C22×C4—1881no—
1255C22×C4—1881no—
1256C22×C4—1881no—
1257C22×C4—1881no—
1258C22×C4—1881no—
1259C22×C4—1881no—
1260C22×C4—1881no—
1261C22×C4—1881no—
1262C22×C4—1881no—
1263C22×C4—1881no—
1264C22×C4—1881no—
1265C22×C4—1881no—
1266C22×C4—1881no—
1267C22×C4—1881no—
1268C22×C4—1881no—
1269C22×C4—1881no—
1270C22×C4—1881no—
1271C22×C4—1881no—
1272C22×C4—1881no—
1273C22×C4—1881no—
1274C22×C4—1881no—
1275C22×C4—1881no—
1276C22×C4C23×D4711yescharacteristic
1277C22×C4C23×D4711yescharacteristic
1278C22×C4C23×D4711yescharacteristic
1279C22×C4C23×D4711yescharacteristic
1280C22×C4C23×D4711yescharacteristic
1281C22×C4C23×D4711yescharacteristic
1282C22×C4C23×D4711yescharacteristic
1283C22×C4C23×D4711yescharacteristic
1284C22×C4C23×D4711yescharacteristic
1285C22×C4C23×D4711yescharacteristic
1286C22×C4C23×D4711yescharacteristic
1287C22×C4C23×D4711yescharacteristic
1288C22×C4C23×D4711yescharacteristic
1289C4⋊C4—22no—
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—41no—
1293C4⋊C4—41no—
1294C4⋊C4—41no—
1295C4⋊C4—474no—
1296C4⋊C4—474no—
1297C4⋊C4—474no—
1298C4⋊C4—474no—
1299C4⋊C4—474no—
1300C4⋊C4—474no—
1301C4⋊C4—942no—
1302C4⋊C4—1881no—
1303C4⋊C4—1881no—
1304C4⋊C4—1881no—
1305C4⋊C4—1881no—
1306C4⋊C4—1881no—
1307C4⋊C4—1881no—
1308C4⋊C4—1881no—
1309C4⋊C4—1881no—
1310C4⋊C4—1881no—
1311C4⋊C4—1881no—
1312C4⋊C4—1881no—
1313C4⋊C4—1881no—
1314C4⋊C4—1881no—
1315C4⋊C4—1881no—
1316C4⋊C4—1881no—
1317C4⋊C4—1881no—
1318C4⋊C4—1881no—
1319C22⋊C4—22no—
1320C22⋊C4—22no—
1321C22⋊C4—22no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—474no—
1326C22⋊C4—474no—
1327C22⋊C4—474no—
1328C22⋊C4—474no—
1329C22⋊C4—474no—
1330C22⋊C4—474no—
1331C22⋊C4—474no—
1332C22⋊C4—474no—
1333C22⋊C4—474no—
1334C22⋊C4—474no—
1335C22⋊C4—942no—
1336C22⋊C4—942no—
1337C22⋊C4—942no—
1338C22⋊C4—942no—
1339C22⋊C4—942no—
1340C22⋊C4—942no—
1341C22⋊C4—942no—
1342C22⋊C4—1881no—
1343C22⋊C4—1881no—
1344C22⋊C4—1881no—
1345C22⋊C4—1881no—
1346C22⋊C4—1881no—
1347C22⋊C4—1881no—
1348C22⋊C4—1881no—
1349C22⋊C4—1881no—
1350C22⋊C4—1881no—
1351C22⋊C4—1881no—
1352C22⋊C4—1881no—
1353C22⋊C4—1881no—
1354C22⋊C4—1881no—
1355C22⋊C4—1881no—
1356C22⋊C4—1881no—
1357C22⋊C4C2×C4×D4714yes—
1358C22⋊C4C2×C4×D4714yes—
1359C22⋊C4C2×C4×D4714yes—
1360C22⋊C4C2×C4×D4714yes—
1361C42—22no—
1362C42—41no—
1363C42—41no—
1364C42—41no—
1365C42—41no—
1366C42—41no—
1367C42—474no—
1368C42—942no—
1369C42—942no—
1370C42—942no—
1371C42—1881no—
1372C42—1881no—
1373C42—1881no—
1374C42—1881no—
1375C42—1881no—
1376C42—1881no—
1377C42—1881no—
1378C42C2×C4×D4714yes—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—472no—
1392C23—472no—
1393C23—472no—
1394C23—472no—
1395C23—472no—
1396C23—948no—
1397C23—941no—
1398C23—941no—
1399C23—941no—
1400C23—941no—
1401C23—941no—
1402C23—941no—
1403C23—941no—
1404C23—941no—
1405C23—941no—
1406C23—941no—
1407C23—941no—
1408C23—941no—
1409C23—941no—
1410C23—941no—
1411C23—941no—
1412C23—941no—
1413C23—3762no—
1414C23—3762no—
1415C23—3762no—
1416C23—3762no—
1417C23—1884no—
1418C23—1884no—
1419C23C22×C4×D4712yes—
1420C23C22×C4×D4712yes—
1421C23C24×D4711yescharacteristic
1422Q8—44no—
1423D4—44no—
1424D4—948no—
1425D4—948no—
1426D4—1884no—
1427D4—1884no—
1428D4—1884no—
1429D4—1884no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
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—82no—
1463C2×C4—82no—
1464C2×C4—472no—
1465C2×C4—472no—
1466C2×C4—472no—
1467C2×C4—472no—
1468C2×C4—472no—
1469C2×C4—941no—
1470C2×C4—941no—
1471C2×C4—941no—
1472C2×C4—941no—
1473C2×C4—941no—
1474C2×C4—941no—
1475C2×C4—941no—
1476C2×C4—941no—
1477C2×C4—941no—
1478C2×C4—941no—
1479C2×C4—941no—
1480C2×C4—941no—
1481C2×C4—941no—
1482C2×C4—941no—
1483C2×C4—941no—
1484C2×C4—941no—
1485C2×C4—941no—
1486C2×C4—941no—
1487C2×C4—941no—
1488C2×C4—941no—
1489C2×C4—941no—
1490C2×C4—941no—
1491C2×C4—941no—
1492C2×C4—941no—
1493C2×C4—941no—
1494C2×C4—941no—
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—3762no—
1504C2×C4—3762no—
1505C2×C4—3762no—
1506C2×C4—3762no—
1507C2×C4—3762no—
1508C2×C4—3762no—
1509C2×C4—3762no—
1510C2×C4—3762no—
1511C2×C4—1884no—
1512C2×C4—1884no—
1513C2×C4—1884no—
1514C2×C4—1884no—
1515C2×C4—1884no—
1516C2×C4—1884no—
1517C2×C4C22×C4×D4712yes—
1518C2×C4C22×C4×D4712yes—
1519C2×C4C22×C4×D4712yes—
1520C2×C4C22×C4×D4712yes—
1521C2×C4C22×C4×D4712yes—
1522C2×C4#1309406912yes—
1523C2×C4#1309407012yes—
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—41no—
1531C22—41no—
1532C22—41no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—474no—
1539C22—942no—
1540C22—942no—
1541C22—942no—
1542C22—942no—
1543C22—942no—
1544C22—942no—
1545C22—942no—
1546C22—942no—
1547C22—942no—
1548C22—942no—
1549C22—942no—
1550C22—942no—
1551C22—3768no—
1552C22—1881no—
1553C22—1881no—
1554C22—1881no—
1555C22—1881no—
1556C22—1881no—
1557C22—1881no—
1558C22—1881no—
1559C22—1881no—
1560C22C23×C4×D4711yescharacteristic
1561C22H(5,𝔽2)×D4711yescharacteristic
1562C22C2×#1309406911yescharacteristic
1563C22C2×#1309407011yescharacteristic
1564C222−1+4×D4711yescharacteristic
1565C22#1568995911yescharacteristic
1566C22#1568995911yescharacteristic
1567C4—22no—
1568C4—22no—
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—41no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—942no—
1581C4—942no—
1582C4—942no—
1583C4—942no—
1584C4—942no—
1585C4—1881no—
1586C4—1881no—
1587C4—1881no—
1588C4—1881no—
1589C4—1881no—
1590C4—1881no—
1591C4—1881no—
1592C4—1881no—
1593C2—42no—
1594C2—42no—
1595C2—944no—
1596C2—1882no—
1597C2—1882no—
1598C2#520×D4711yescharacteristic
1599C2C4×#1309406911yescharacteristic
1600C2C4×#1309407011yescharacteristic
1601C2#2025757011yescharacteristic
1602C2#2025760411yescharacteristic
1603C2#2025790811yescharacteristic
1604C2#2025800711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D47
commutatorC22×C47C24×C4
FittingC47×#2367C2
socle, cosocleC23×C47C25
prime radicalC2×#15689707C2
hypercenter#2367D47
hypocenterC47#34424
LCSG ▷ C22×C47 ▷ C47
UCSC1 ◁ C23 ◁ #2367

Complements

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

NH ≅ G/Ntype
2. #20246562C2semidirect
3. #20246560C2semidirect
4. #20246537C2semidirect
5. #20246534C2semidirect
6. #20246455C2semidirect
7. #20246382C2semidirect
8. #20246379C2semidirect
9. #20246370C2semidirect
10. #20246369C2semidirect
11. #20246366C2semidirect
12. #20246365C2semidirect
13. #20246320C2semidirect
14. #20246316C2semidirect
15. #20246299C2semidirect
16. #20246294C2semidirect
17. #20246165C2semidirect
18. #20246163C2semidirect
19. #20246163C2semidirect
20. #20246160C2semidirect
21. #20246120C2semidirect
22. #20246092C2semidirect
23. #20246086C2semidirect
24. #20246085C2semidirect
25. #20246076C2semidirect
26. #20246074C2semidirect
27. #20245999C2semidirect
28. C4×#13094000C2semidirect
29. C4×#13093997C2semidirect
30. #388×D47C2semidirect
31. C47×#2367C2semidirect
32. #15689707C4semidirect
49. C2×C4×C22⋊D47C22semidirect
54. C2×#13093982C22semidirect
55. C2×#13093980C22semidirect
63. #15689030C22semidirect
64. #15689030C22semidirect
68. #15689023C22semidirect
69. #15689021C22semidirect
70. #15689021C22semidirect
71. #15689020C22semidirect
72. #15689020C22semidirect
73. #15689020C22semidirect
74. #15689019C22semidirect
75. #15689018C22semidirect
76. #15689018C22semidirect
80. #15689016C22semidirect
81. #15689016C22semidirect
87. #15689014C22semidirect
88. #15689014C22semidirect
91. #15689013C22semidirect
93. #15689012C22semidirect
97. #15689010C22semidirect
98. #15689010C22semidirect
99. #15689008C22semidirect
100. #15689008C22semidirect
101. #15689008C22semidirect
102. #15689007C22semidirect
103. #15689007C22semidirect
104. #15689006C22semidirect
105. #15689005C22semidirect
106. #15689004C22semidirect
107. #15689004C22semidirect
108. #15689004C22semidirect
117. #15689000C22semidirect
122. #15688999C22semidirect
125. #15688998C22semidirect
126. #15688998C22semidirect
131. #15688997C22semidirect
141. #15688994C22semidirect
142. #15688994C22semidirect
143. #15688989C22semidirect
144. #15688989C22semidirect
145. #15688987C22semidirect
146. #15688987C22semidirect
149. #15688982C22semidirect
150. #15688981C22semidirect
151. #15688981C22semidirect
154. #15688980C22semidirect
155. C4⋊C4×Dic47C22semidirect
156. C4×Dic47⋊C4C22semidirect
157. C4×Dic47⋊C4C22semidirect
158. C4×Dic47⋊C4C22semidirect
159. C4×Dic47⋊C4C22semidirect
160. C4×C4⋊Dic47C22semidirect
167. C4×(C2×D47)⋊C4C22semidirect
169. C2×C47⋊#95C22semidirect
172. #95×D47C22semidirect
174. C2×C4×Q8×C47C22semidirect
176. C47×#391C22semidirect
180. C47×#388C22semidirect
181. C47×#388C22semidirect
183. C47×#385C22semidirect
184. C4×C4⋊C4×C47C22semidirect
185. C4×C4⋊C4×C47C22semidirect
187. C4×C22⋊C4×C47C22semidirect
209. #13094018C2×C4semidirect
210. #13094017C2×C4semidirect
211. #13094013C2×C4semidirect
212. #13094008C2×C4semidirect
213. #13094006C2×C4semidirect
214. #13094000C2×C4semidirect
215. #13093997C2×C4semidirect
216. #13093997C2×C4semidirect
217. #13093996C2×C4semidirect
218. #13093994C2×C4semidirect
219. #13093992C2×C4semidirect
222. C4×D188C2×C4semidirect
229. (C22⋊D47)⋊C4C2×C4semidirect
293. C22⋊C4×D47C2×C4semidirect
342. #124×C47C2×C4semidirect
797. #2367D47semidirect
847. C2×C4×Q8C2×D47semidirect
870. #391C2×D47semidirect
906. #388C2×D47semidirect
907. #388C2×D47semidirect
955. #385C2×D47semidirect
974. C4×C4⋊C4C2×D47semidirect
975. C4×C4⋊C4C2×D47semidirect
985. C4×C22⋊C4C2×D47semidirect
990. C47#34424semidirect
1019. #124C4×D47semidirect

Maximal subgroups

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

subgroupindex
C2×#156897072
#202465622
#202465602
#202465372
#202465342
#202464552
#202463822
#202463792
#202463702
#202463692
#202463662
#202463652
#202463202
#202463162
#202462992
#202462942
#202461652
#202461632
#202461602
#202461202
#202460922
#202460862
#202460852
#202460762
#202460742
#202459992
C4×#130940002
C4×#130939972
#388×D472
C47×#23672
#3442447