Finite Group Databasebeta

← C2×#546×D43 #26003515

Subgroups — C2×#546×D43 #26003515

Order 11008.

14462 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#41×D43C211yesmaximal, characteristic, complemented
2C23×D4×D43C211yesmaximal, characteristic, complemented
3C2×#14583546C211yesmaximal, characteristic, complemented
4C2×#14583545C211yesmaximal, characteristic, complemented
5C2×#14583544C211yesmaximal, characteristic, complemented
6C2×#14583543C211yesmaximal, characteristic, complemented
7C2×#14583542C211yesmaximal, characteristic, complemented
8C2×#14583541C212yesmaximal, complemented
9C2×#14583540C211yesmaximal, characteristic, complemented
10C2×#14583539C212yesmaximal, complemented
11C2×#14583538C212yesmaximal, complemented
12C2×#14583537C211yesmaximal, characteristic, complemented
13C2×#14583536C212yesmaximal, complemented
14#546×D43C2132yesmaximal, direct product factor
15C2×#124×D43C211yesmaximal, characteristic, complemented
16C2×#123×D43C212yesmaximal, complemented
17C2×C22⋊Q8×D43C211yesmaximal, characteristic, complemented
18C2×#121×D43C212yesmaximal, complemented
19C2×#121×D43C211yesmaximal, characteristic, complemented
20C2×#120×D43C212yesmaximal, complemented
21C2×C4×D4×D43C211yesmaximal, characteristic, complemented
22C2×C4×D4×D43C211yesmaximal, characteristic, complemented
23C22×C22⋊C4×D43C212yesmaximal, complemented
24C2×C43×#546C211yesmaximal, characteristic, complemented
25C25×D43C2212yes—
26C22×#10621902C2211yescharacteristic, complemented
27C22×#10621898C2212yescomplemented
28C22×#10621898C2211yescharacteristic, complemented
29C22×#10621900C2211yescharacteristic, complemented
30C22×#10621900C2212yescomplemented
31C2×#41×D43—216no—
32C2×#41×D43C22116yescomplemented
33C22×Q8×D43C2211yescharacteristic, complemented
34C23×D172C2211yescharacteristic, complemented
35C23×C22⋊D43C2212yescomplemented
36C22×D4×D43—216no—
37C22×D4×D43C2211yescharacteristic
38C22×D4×D43C2212yes—
39C22×D4×D43C2211yescharacteristic
40C22×D4×D43C2211yescharacteristic
41C22×D4×D43C2211yescharacteristic, complemented
42C22×D4×D43C2212yescomplemented
43C22×D4×D43C2211yescharacteristic, complemented
44C22×D4×D43C22116yescomplemented
45C22×D4×D43C2212yescomplemented
46C22×D4×D43C2212yescomplemented
47C23×C4×D43C2211yescharacteristic
48C23×C4×D43C2211yescharacteristic, complemented
49C23×C4×D43C2212yescomplemented
50C23×C4×D43C2212yescomplemented
51#14583546C22116yescomplemented
52#14583545C22116yescomplemented
53#14583544C22116yescomplemented
54#14583543C22116yescomplemented
55#14583542C22116yescomplemented
56#14583541C22132yescomplemented
57#14583540C22116yescomplemented
58#14583539C22132yescomplemented
59#14583538C22132yescomplemented
60#14583537C22116yescomplemented
61#14583536C22132yescomplemented
62C2×#13063314C2211yescharacteristic, complemented
63C2×#13063313C2211yescharacteristic, complemented
64C2×#13063312C2211yescharacteristic, complemented
65C2×#13063311C2212yescomplemented
66C2×#13063311C2212yescomplemented
67#124×D43C22116yescomplemented
68C2×#13063310C2212yescomplemented
69C2×#13063310C2212yescomplemented
70C2×#13063309C2212yescomplemented
71C2×#13063308C2212yescomplemented
72C2×#13063307C2212yescomplemented
73C2×#13063307C2212yescomplemented
74C2×#13063306C2212yescomplemented
75#123×D43C22132yescomplemented
76C2×#13063305C2211yescharacteristic, complemented
77C2×#13063304C2211yescharacteristic, complemented
78C2×#13063303C2212yescomplemented
79C2×#13063302C2212yescomplemented
80C2×#13063301C2211yescharacteristic, complemented
81C22⋊Q8×D43C22116yescomplemented
82C2×#13063300C2212yescomplemented
83C2×#13063300C2211yescharacteristic, complemented
84C2×#13063299C2212yescomplemented
85C2×#13063299C2211yescharacteristic, complemented
86C2×#13063298C2212yescomplemented
87C2×#13063298C2212yescomplemented
88C2×#13063298C2212yescomplemented
89C2×#13063297C2212yescomplemented
90C2×#13063297C2212yescomplemented
91C2×#13063297C2212yescomplemented
92C2×#13063296C2211yescharacteristic, complemented
93C2×#13063296C2212yescomplemented
94#121×D43C22132yescomplemented
95#121×D43C22116yescomplemented
96C2×#13063295C2212yescomplemented
97C2×#13063295C2212yescomplemented
98C2×#13063295C2212yescomplemented
99C2×#13063294C2212yescomplemented
100C2×#13063293C2212yescomplemented
101C2×#13063293C2212yescomplemented
102C2×#13063293C2212yescomplemented
103#120×D43C22132yescomplemented
104C2×C4×D172C2211yescharacteristic, complemented
105C2×C4×D172C2211yescharacteristic, complemented
106C2×D4×Dic43C2211yescharacteristic, complemented
107C2×D4×Dic43C2211yescharacteristic, complemented
108C2×#13063287C2211yescharacteristic, complemented
109C2×#13063287C2211yescharacteristic, complemented
110C2×C4×C22⋊D43C2211yescharacteristic, complemented
111C2×C4×C22⋊D43C2211yescharacteristic, complemented
112C2×C4×C22⋊D43C2212yescomplemented
113C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
114C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
115C2×(C22⋊D43)⋊C4C2212yescomplemented
116C4×D4×D43C22116yescomplemented
117C4×D4×D43C22116yescomplemented
118C2×C4⋊C4×D43C2212yescomplemented
119C2×C4⋊C4×D43C2211yescharacteristic, complemented
120C2×C4⋊C4×D43C2211yescharacteristic, complemented
121C22×C22⋊Dic43C2212yescomplemented
122C22×(C2×D43)⋊C4C2212yescomplemented
123C22×(C2×D43)⋊C4C2212yescomplemented
124C2×C22⋊C4×D43C2212yes—
125C2×C22⋊C4×D43C2211yescharacteristic
126C2×C22⋊C4×D43C2212yescomplemented
127C2×C22⋊C4×D43C2212yescomplemented
128C2×C22⋊C4×D43C22132yescomplemented
129C2×C22⋊C4×D43C2212yescomplemented
130C2×C22⋊C4×D43C2212yescomplemented
131C2×C22⋊C4×D43C2212yescomplemented
132C2×C22⋊C4×D43C2212yescomplemented
133C2×C22⋊C4×D43C2211yescharacteristic, complemented
134C2×C22⋊C4×D43C2212yescomplemented
135C2×C22⋊C4×D43C2212yescomplemented
136C2×C42×D43C2211yescharacteristic, complemented
137C22×#41×C43C2211yescharacteristic, complemented
138C23×D4×C43C2211yescharacteristic, complemented
139C43×#546C22116yescomplemented
140C2×#124×C43C2211yescharacteristic, complemented
141C2×#123×C43C2212yescomplemented
142C2×C22⋊Q8×C43C2211yescharacteristic, complemented
143C2×#121×C43C2212yescomplemented
144C2×#121×C43C2211yescharacteristic, complemented
145C2×#120×C43C2212yescomplemented
146C2×C4×D4×C43C2211yescharacteristic, complemented
147C2×C4×D4×C43C2211yescharacteristic, complemented
148C22×C22⋊C4×C43C2212yescomplemented
149C24×D43—216no—
150C24×D43—216no—
151C24×D43—48no—
152C24×D43C2312yes—
153C24×D43C2311yescharacteristic
154C24×D43C23116yes—
155C24×D43C2312yes—
156C24×D43C2312yes—
157C24×D43C2312yes—
158C24×D43C2312yes—
159C24×D43C2311yescharacteristic
160C2×#10621902—28no—
161C2×#10621902C2318yescomplemented
162C2×#10621898—216no—
163C2×#10621898—28no—
164C2×#10621898C2318yescomplemented
165C2×#10621898C23116yescomplemented
166C2×#10621900—28no—
167C2×#10621900—216no—
168C2×#10621900C23116yescomplemented
169C2×#10621900C2318yescomplemented
170#41×D43—2128no—
171C22×Dic86C2312yescomplemented
172C22×Dic86C2311yescharacteristic, complemented
173C2×Q8×D43—28no—
174C2×Q8×D43C2318yescomplemented
175C22×D172—28no—
176C22×D172C2311yescharacteristic
177C22×D172C2312yes—
178C22×D172C2311yescharacteristic
179C22×D172C2311yescharacteristic
180C22×D172C2318yescomplemented
181C22×D172C2312yescomplemented
182C22×D172C2312yescomplemented
183C22×C22⋊D43—216no—
184C22×C22⋊D43C2311yescharacteristic
185C22×C22⋊D43C2311yescharacteristic
186C22×C22⋊D43C2312yes—
187C22×C22⋊D43C2312yes—
188C22×C22⋊D43C2312yes—
189C22×C22⋊D43C2312yes—
190C22×C22⋊D43C23116yescomplemented
191C22×C22⋊D43C2312yescomplemented
192C22×C22⋊D43C2312yescomplemented
193C22×C22⋊D43C2312yescomplemented
194C22×C22⋊D43C2312yescomplemented
195C2×D4×D43—216no—
196C2×D4×D43—216no—
197C2×D4×D43—28no—
198C2×D4×D43—28no—
199C2×D4×D43—216no—
200C2×D4×D43—2128no—
201C2×D4×D43—28no—
202C2×D4×D43—28no—
203C2×D4×D43—48no—
204C2×D4×D43D4116yescomplemented
205C2×D4×D43C2318yes—
206C2×D4×D43C23116yes—
207C2×D4×D43C2318yes—
208C2×D4×D43C2318yes—
209C2×D4×D43C2318yescomplemented
210C2×D4×D43C23116yescomplemented
211C2×D4×D43C2318yescomplemented
212C2×D4×D43C23116yescomplemented
213C2×D4×D43C23116yescomplemented
214C23×Dic43C2311yescharacteristic
215C23×Dic43C2312yescomplemented
216C23×Dic43C2311yescharacteristic, complemented
217C23×Dic43C2312yescomplemented
218C22×C4×D43—216no—
219C22×C4×D43—28no—
220C22×C4×D43—28no—
221C22×C4×D43—48no—
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2312yes—
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2312yes—
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2318yes—
229C22×C4×D43C2311yescharacteristic
230C22×C4×D43C2311yescharacteristic
231C22×C4×D43C2311yescharacteristic
232C22×C4×D43C23116yescomplemented
233C22×C4×D43C2318yescomplemented
234C22×C4×D43C2312yescomplemented
235C22×C4×D43C2312yescomplemented
236C22×C4×D43C2311yescharacteristic, complemented
237C22×C4×D43C2311yescharacteristic, complemented
238C22×C4×D43C23116yescomplemented
239C22×C4×D43C2312yescomplemented
240C22×C4×D43C2312yescomplemented
241#13063314C2318yescomplemented
242#13063313C2318yescomplemented
243#13063312C2318yescomplemented
244#13063311C23116yescomplemented
245#13063311C23116yescomplemented
246#13063310C23116yescomplemented
247#13063310C23116yescomplemented
248#13063309C23116yescomplemented
249#13063308C23116yescomplemented
250#13063307C23116yescomplemented
251#13063307C23116yescomplemented
252#13063306C23116yescomplemented
253#13063305C2318yescomplemented
254#13063304C2318yescomplemented
255#13063303C23116yescomplemented
256#13063302C23116yescomplemented
257#13063301C2318yescomplemented
258#13063300C23116yescomplemented
259#13063300C2318yescomplemented
260#13063299C2318yescomplemented
261#13063299C23116yescomplemented
262#13063298C23116yescomplemented
263#13063298C23116yescomplemented
264#13063298C23116yescomplemented
265#13063297C23116yescomplemented
266#13063297C23116yescomplemented
267#13063297C23116yescomplemented
268#13063296C23116yescomplemented
269#13063296C2318yescomplemented
270#13063295C23116yescomplemented
271#13063295C23116yescomplemented
272#13063295C23116yescomplemented
273#13063294C23116yescomplemented
274#13063293C23116yescomplemented
275#13063293C23116yescomplemented
276#13063293C23116yescomplemented
277C4×D172C2318yescomplemented
278C4×D172C2318yescomplemented
279D4×Dic43C2318yescomplemented
280D4×Dic43C2318yescomplemented
281#13063287C2318yescomplemented
282#13063287C2318yescomplemented
283C4×C22⋊D43C2318yescomplemented
284C4×C22⋊D43C2318yescomplemented
285C4×C22⋊D43C23116yescomplemented
286(C22⋊D43)⋊C4C2318yescomplemented
287(C22⋊D43)⋊C4C2318yescomplemented
288(C22⋊D43)⋊C4C23116yescomplemented
289C2×C4⋊Dic43C2311yescharacteristic, complemented
290C2×C4⋊Dic43C2311yescharacteristic, complemented
291C2×C4⋊Dic43C2312yescomplemented
292C2×Dic43⋊C4C2312yescomplemented
293C2×Dic43⋊C4C2311yescharacteristic, complemented
294C2×Dic43⋊C4C2311yescharacteristic, complemented
295C2×Dic43⋊C4C2312yescomplemented
296C2×Dic43⋊C4C2312yescomplemented
297C4⋊C4×D43C2318yescomplemented
298C4⋊C4×D43C2318yescomplemented
299C4⋊C4×D43C23116yescomplemented
300C2×C22⋊Dic43C2311yescharacteristic
301C2×C22⋊Dic43C2312yes—
302C2×C22⋊Dic43C23116yescomplemented
303C2×C22⋊Dic43C2312yescomplemented
304C2×C22⋊Dic43C2312yescomplemented
305C2×C22⋊Dic43C2312yescomplemented
306C2×C22⋊Dic43C2311yescharacteristic, complemented
307C2×C22⋊Dic43C2312yescomplemented
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2312yes—
311C2×(C2×D43)⋊C4C2312yes—
312C2×(C2×D43)⋊C4C23116yescomplemented
313C2×(C2×D43)⋊C4C23116yescomplemented
314C2×(C2×D43)⋊C4C2312yescomplemented
315C2×(C2×D43)⋊C4C2312yescomplemented
316C2×(C2×D43)⋊C4C2312yescomplemented
317C2×(C2×D43)⋊C4C2312yescomplemented
318C2×(C2×D43)⋊C4C2312yescomplemented
319C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
320C2×(C2×D43)⋊C4C2312yescomplemented
321C2×(C2×D43)⋊C4C2311yescharacteristic, complemented
322C2×(C2×D43)⋊C4C2312yescomplemented
323C2×(C2×D43)⋊C4C2312yescomplemented
324C22⋊C4×D43C2318yes—
325C22⋊C4×D43C23116yes—
326C22⋊C4×D43C23116yescomplemented
327C22⋊C4×D43C23116yescomplemented
328C22⋊C4×D43C23116yescomplemented
329C22⋊C4×D43C23116yescomplemented
330C22⋊C4×D43C23116yescomplemented
331C22⋊C4×D43C23116yescomplemented
332C22⋊C4×D43C23116yescomplemented
333C22⋊C4×D43C2318yescomplemented
334C22⋊C4×D43C23116yescomplemented
335C2×C4×Dic43C2311yescharacteristic, complemented
336C2×C4×Dic43C2311yescharacteristic, complemented
337C2×C4×Dic43C2311yescharacteristic, complemented
338C42×D43C2318yescomplemented
339C25×C43C2312yes—
340C2×#41×C43—28no—
341C2×#41×C43C2318yescomplemented
342C22×Q8×C43C2311yescharacteristic, complemented
343C22×D4×C43—28no—
344C22×D4×C43C2311yescharacteristic
345C22×D4×C43C2312yes—
346C22×D4×C43C2311yescharacteristic
347C22×D4×C43C2311yescharacteristic
348C22×D4×C43C2318yescomplemented
349C22×D4×C43C2312yescomplemented
350C22×D4×C43C2312yescomplemented
351C23×C4×C43C2311yescharacteristic
352C23×C4×C43C2312yescomplemented
353C23×C4×C43C2311yescharacteristic, complemented
354C23×C4×C43C2312yescomplemented
355#124×C43C2318yescomplemented
356#123×C43C23116yescomplemented
357C22⋊Q8×C43C2318yescomplemented
358#121×C43C23116yescomplemented
359#121×C43C2318yescomplemented
360#120×C43C23116yescomplemented
361C4×D4×C43C2318yescomplemented
362C4×D4×C43C2318yescomplemented
363C2×C4⋊C4×C43C2311yescharacteristic, complemented
364C2×C4⋊C4×C43C2311yescharacteristic, complemented
365C2×C4⋊C4×C43C2312yescomplemented
366C2×C22⋊C4×C43C2311yescharacteristic
367C2×C22⋊C4×C43C2312yes—
368C2×C22⋊C4×C43C23116yescomplemented
369C2×C22⋊C4×C43C2312yescomplemented
370C2×C22⋊C4×C43C2312yescomplemented
371C2×C22⋊C4×C43C2312yescomplemented
372C2×C22⋊C4×C43C2311yescharacteristic, complemented
373C2×C22⋊C4×C43C2312yescomplemented
374C2×C42×C43C2311yescharacteristic, complemented
375C24×C43—28no—
376C24×C43—28no—
377C24×C43—44no—
378C24×C43C2412yes—
379C24×C43C2411yescharacteristic
380C24×C43C2418yes—
381C24×C43C2412yes—
382C24×C43C2411yescharacteristic
383C23×D43—24no—
384C23×D43—28no—
385C23×D43—28no—
386C23×D43—24no—
387C23×D43—28no—
388C23×D43—28no—
389C23×D43—24no—
390C23×D43—28no—
391C23×D43—264no—
392C23×D43—28no—
393C23×D43—28no—
394C23×D43—24no—
395C23×D43—28no—
396C23×D43—28no—
397C23×D43—264no—
398C23×D43—28no—
399C23×D43—24no—
400C23×D43—28no—
401C23×D43—432no—
402C23×D43—44no—
403C23×D43—44no—
404C23×D43—44no—
405C23×D43—4128no—
406C23×D43C2×D4116yes—
407C23×D43#4118yescomplemented
408C23×D43C2418yes—
409C23×D43C2414yes—
410C23×D43C2412yes—
411C23×D43C2411yescharacteristic
412C23×D43C2418yes—
413C23×D43C2418yes—
414C23×D43C2418yes—
415C23×D43C2418yes—
416C23×D43C2412yes—
417C23×D43C2414yes—
418C23×D43C2411yescharacteristic
419C23×D43C2411yescharacteristic
420#41×C43—232no—
421C2×Q8×C43—24no—
422C2×Q8×C43C2414yescomplemented
423C2×D4×C43—232no—
424C2×D4×C43—24no—
425C2×D4×C43—28no—
426C2×D4×C43—28no—
427C2×D4×C43—24no—
428C2×D4×C43—44no—
429C2×D4×C43C2×D418yescomplemented
430C2×D4×C43C2414yes—
431C2×D4×C43C2418yes—
432C2×D4×C43C2414yes—
433C2×D4×C43C2414yes—
434C2×D4×C43C2418yescomplemented
435C2×D4×C43C2418yescomplemented
436C22×C4×C43—24no—
437C22×C4×C43—24no—
438C22×C4×C43—28no—
439C22×C4×C43—44no—
440C22×C4×C43C2411yescharacteristic
441C22×C4×C43C2411yescharacteristic
442C22×C4×C43C2412yes—
443C22×C4×C43C2411yescharacteristic
444C22×C4×C43C2412yes—
445C22×C4×C43C2411yescharacteristic
446C22×C4×C43C2414yes—
447C22×C4×C43C2411yescharacteristic
448C22×C4×C43C2418yescomplemented
449C22×C4×C43C2414yescomplemented
450C22×C4×C43C2418yescomplemented
451C2×C22⋊D43—264no—
452C2×C22⋊D43—28no—
453C2×C22⋊D43—28no—
454C2×C22⋊D43—28no—
455C2×C22⋊D43—24no—
456C2×C22⋊D43—28no—
457C2×C22⋊D43—28no—
458C2×C22⋊D43—24no—
459C2×C22⋊D43—44no—
460C2×C22⋊D43—44no—
461C2×C22⋊D43C2×D4116yescomplemented
462C2×C22⋊D43C2414yes—
463C2×C22⋊D43C2414yes—
464C2×C22⋊D43C2418yes—
465C2×C22⋊D43C2418yes—
466C2×C22⋊D43C2418yes—
467C2×C22⋊D43C2418yes—
468C2×C22⋊D43C2418yescomplemented
469C2×C22⋊D43C2418yescomplemented
470C2×C22⋊D43C2418yescomplemented
471C2×C22⋊D43C2418yescomplemented
472C22×Dic43—24no—
473C22×Dic43—24no—
474C22×Dic43—28no—
475C22×Dic43—44no—
476C22×Dic43C2411yescharacteristic
477C22×Dic43C2411yescharacteristic
478C22×Dic43C2412yes—
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2412yes—
481C22×Dic43C2411yescharacteristic
482C22×Dic43C2414yes—
483C22×Dic43C2411yescharacteristic
484C22×Dic43C2418yescomplemented
485C22×Dic43C2414yescomplemented
486C22×Dic43C2418yescomplemented
487#10621902—232no—
488Q8×D43—232no—
489#10621900—232no—
490#10621900—264no—
491D4×D43—232no—
492D4×D43—264no—
493D4×D43—232no—
494D4×D43—232no—
495D4×D43—264no—
496D4×D43—264no—
497D4×D43—232no—
498D4×D43—432no—
499D4×D43C2×D4164yescomplemented
500#10621898—264no—
501#10621898—232no—
502C2×D172—24no—
503C2×D172—232no—
504C2×D172—28no—
505C2×D172—28no—
506C2×D172—24no—
507C2×D172—44no—
508C2×D172C2×D418yescomplemented
509C2×D172C2414yes—
510C2×D172C2418yes—
511C2×D172C2414yes—
512C2×D172C2414yes—
513C2×D172C2418yescomplemented
514C2×D172C2418yescomplemented
515C2×C4×D43—24no—
516C2×C4×D43—24no—
517C2×C4×D43—24no—
518C2×C4×D43—24no—
519C2×C4×D43—232no—
520C2×C4×D43—232no—
521C2×C4×D43—24no—
522C2×C4×D43—24no—
523C2×C4×D43—28no—
524C2×C4×D43—264no—
525C2×C4×D43—28no—
526C2×C4×D43—28no—
527C2×C4×D43—24no—
528C2×C4×D43—24no—
529C2×C4×D43—28no—
530C2×C4×D43—432no—
531C2×C4×D43—44no—
532C2×C4×D43—44no—
533C2×C4×D43C2×D418yes—
534C2×C4×D43C2414yes—
535C2×C4×D43C2414yes—
536C2×C4×D43C2418yes—
537C2×C4×D43C2414yes—
538C2×C4×D43C2418yes—
539C2×C4×D43C2414yes—
540C2×C4×D43C2414yes—
541C2×C4×D43C2414yes—
542C2×C4×D43C2414yes—
543C2×C4×D43C2418yescomplemented
544C2×C4×D43C2418yescomplemented
545C2×C4×D43C2414yescomplemented
546C2×C4×D43C2414yescomplemented
547C2×C4×D43C2418yescomplemented
548C2×C4×D43C2418yescomplemented
549C2×Dic86—24no—
550C2×Dic86—28no—
551C2×Dic86C2418yescomplemented
552C2×Dic86C2414yescomplemented
553C4⋊C4×C43C2414yescomplemented
554C4⋊C4×C43C2414yescomplemented
555C4⋊C4×C43C2418yescomplemented
556C22⋊C4×C43C2414yes—
557C22⋊C4×C43C2418yes—
558C22⋊C4×C43C2418yescomplemented
559C22⋊C4×C43C2418yescomplemented
560C22⋊C4×C43C2418yescomplemented
561C22⋊C4×C43C2414yescomplemented
562C22⋊C4×C43C2418yescomplemented
563C42×C43C2414yescomplemented
564C22⋊Dic43C2414yes—
565C22⋊Dic43C2418yes—
566C22⋊Dic43C2418yescomplemented
567C22⋊Dic43C2418yescomplemented
568C22⋊Dic43C2418yescomplemented
569C22⋊Dic43C2414yescomplemented
570C22⋊Dic43C2418yescomplemented
571(C2×D43)⋊C4C2414yes—
572(C2×D43)⋊C4C2414yes—
573(C2×D43)⋊C4C2418yes—
574(C2×D43)⋊C4C2418yes—
575(C2×D43)⋊C4C2418yescomplemented
576(C2×D43)⋊C4C2418yescomplemented
577(C2×D43)⋊C4C2418yescomplemented
578(C2×D43)⋊C4C2418yescomplemented
579(C2×D43)⋊C4C2418yescomplemented
580(C2×D43)⋊C4C2414yescomplemented
581(C2×D43)⋊C4C2418yescomplemented
582(C2×D43)⋊C4C2414yescomplemented
583(C2×D43)⋊C4C2418yescomplemented
584(C2×D43)⋊C4C2418yescomplemented
585C4⋊Dic43C2414yescomplemented
586C4⋊Dic43C2414yescomplemented
587C4⋊Dic43C2418yescomplemented
588Dic43⋊C4C2418yescomplemented
589Dic43⋊C4C2414yescomplemented
590Dic43⋊C4C2414yescomplemented
591Dic43⋊C4C2418yescomplemented
592Dic43⋊C4C2418yescomplemented
593C4×Dic43C2414yescomplemented
594C4×Dic43C2414yescomplemented
595C4×Dic43C2414yescomplemented
596C23×C43—22no—
597C23×C43—24no—
598C23×C43—24no—
599C23×C43—22no—
600C23×C43—22no—
601C23×C43—216no—
602C23×C43—24no—
603C23×C43—22no—
604C23×C43—24no—
605C23×C43—216no—
606C23×C43—22no—
607C23×C43—24no—
608C23×C43—48no—
609C23×C43—432no—
610C23×C43C22×D418yes—
611C23×C43C2×#4114yescomplemented
612C23×C43C2514yes—
613C23×C43C2512yes—
614C23×C43C2514yes—
615C23×C43C2512yes—
616C23×C43C2511yescharacteristic
617C22×D43—22no—
618C22×D43—24no—
619C22×D43—24no—
620C22×D43—22no—
621C22×D43—232no—
622C22×D43—264no—
623C22×D43—28no—
624C22×D43—216no—
625C22×D43—216no—
626C22×D43—28no—
627C22×D43—22no—
628C22×D43—24no—
629C22×D43—216no—
630C22×D43—22no—
631C22×D43—24no—
632C22×D43—216no—
633C22×D43—22no—
634C22×D43—24no—
635C22×D43—28no—
636C22×D43—216no—
637C22×D43—216no—
638C22×D43—216no—
639C22×D43—28no—
640C22×D43—216no—
641C22×D43—216no—
642C22×D43—216no—
643C22×D43—28no—
644C22×D43—216no—
645C22×D43—48no—
646C22×D43—48no—
647C22×D43—48no—
648C22×D43—432no—
649C22×D43—4256no—
650C22×D43—432no—
651C22×D43—432no—
652C22×D43—416no—
653C22×D43—432no—
654C22×D43C22×D418yes—
655C22×D43C22×D4132yes—
656C22×D43C22×D414yes—
657C22×D43C2×#4114yes—
658C22×D43C2×#41116yescomplemented
659C22×D43C2×#4114yescomplemented
660C22×D43H(5,𝔽2)14yes—
661C22×D43C2514yes—
662C22×D43C2512yes—
663C22×D43C2514yes—
664C22×D43C2512yes—
665C22×D43C2512yes—
666Q8×C43—28no—
667D4×C43—216no—
668D4×C43—216no—
669D4×C43—28no—
670D4×C43—28no—
671D4×C43—48no—
672D4×C43C22×D4116yescomplemented
673C2×C4×C43—24no—
674C2×C4×C43—22no—
675C2×C4×C43—22no—
676C2×C4×C43—216no—
677C2×C4×C43—22no—
678C2×C4×C43—22no—
679C2×C4×C43—24no—
680C2×C4×C43—28no—
681C2×C4×C43—28no—
682C2×C4×C43—48no—
683C2×C4×C43C22×D414yes—
684C2×C4×C43C2512yes—
685C2×C4×C43C2512yes—
686C2×C4×C43C2512yes—
687C2×C4×C43C2514yes—
688C2×C4×C43C2514yes—
689C2×C4×C43C2512yes—
690C2×C4×C43C2512yes—
691C22⋊D43—216no—
692C22⋊D43—216no—
693C22⋊D43—28no—
694C22⋊D43—216no—
695C22⋊D43—216no—
696C22⋊D43—28no—
697C22⋊D43—216no—
698C22⋊D43—48no—
699C22⋊D43—48no—
700C22⋊D43C22×D4132yescomplemented
701C2×Dic43—24no—
702C2×Dic43—22no—
703C2×Dic43—216no—
704C2×Dic43—22no—
705C2×Dic43—22no—
706C2×Dic43—22no—
707C2×Dic43—24no—
708C2×Dic43—28no—
709C2×Dic43—28no—
710C2×Dic43—48no—
711C2×Dic43C22×D414yes—
712C2×Dic43C2512yes—
713C2×Dic43C2512yes—
714C2×Dic43C2512yes—
715C2×Dic43C2514yes—
716C2×Dic43C2514yes—
717C2×Dic43C2512yes—
718C2×Dic43C2512yes—
719D172—216no—
720D172—216no—
721D172—28no—
722D172—28no—
723D172—48no—
724D172C22×D4116yescomplemented
725C4×D43—28no—
726C4×D43—28no—
727C4×D43—216no—
728C4×D43—216no—
729C4×D43—216no—
730C4×D43—28no—
731C4×D43—28no—
732C4×D43—216no—
733C4×D43—28no—
734C4×D43—28no—
735C4×D43—28no—
736C4×D43—28no—
737C4×D43—48no—
738C4×D43—48no—
739C4×D43C22×D4116yes—
740Dic86—28no—
741Dic86—216no—
742C22×#546—431nomaximal, Sylow
743C22×C43—22no—
744C22×C43—24no—
745C22×C43—22no—
746C22×C43—24no—
747C22×C43—28no—
748C22×C43—216no—
749C22×C43—24no—
750C22×C43—22no—
751C22×C43—24no—
752C22×C43—22no—
753C22×C43—24no—
754C22×C43—22no—
755C22×C43—432no—
756C22×C43—48no—
757C22×C43—44no—
758C22×C43C23×D418yes—
759C22×C43C23×D412yes—
760C22×C43C22×#4112yes—
761C22×C43C22×#4114yescomplemented
762C22×C43C2×H(5,𝔽2)12yes—
763C22×C43C2611yescharacteristic
764C2×D43—22no—
765C2×D43—24no—
766C2×D43—22no—
767C2×D43—24no—
768C2×D43—28no—
769C2×D43—216no—
770C2×D43—232no—
771C2×D43—264no—
772C2×D43—24no—
773C2×D43—22no—
774C2×D43—24no—
775C2×D43—22no—
776C2×D43—24no—
777C2×D43—22no—
778C2×D43—432no—
779C2×D43—432no—
780C2×D43—432no—
781C2×D43—44no—
782C2×D43—48no—
783C2×D43—416no—
784C2×D43—432no—
785C2×D43#546116yesdirect product factor
786C2×D43C23×D418yes—
787C2×D43C23×D414yes—
788C2×D43C22×#4114yes—
789C2×D43C22×#4114yescomplemented
790C2×D43C2×H(5,𝔽2)14yes—
791C4×C43—24no—
792C4×C43—22no—
793C4×C43—22no—
794C4×C43—22no—
795C4×C43—22no—
796C4×C43—24no—
797C4×C43C23×D414yes—
798Dic43—24no—
799Dic43—22no—
800Dic43—22no—
801Dic43—22no—
802Dic43—22no—
803Dic43—24no—
804Dic43C23×D414yes—
805C23×#41—431no—
806C24×D4—431no—
807C2×#546—431no—
808C2×#546—431no—
809C2×#546—4332no—
810C2×#546—431no—
811C2×#546—432no—
812C2×#546—431no—
813C2×#546—432no—
814C2×#546—431no—
815C2×#546—432no—
816C2×#546—431no—
817C2×#546—431no—
818C2×#546—432no—
819C2×#546D4311yescharacteristic, direct product factor
820C22×#124—431no—
821C22×#123—432no—
822C22×C22⋊Q8—431no—
823C22×#121—431no—
824C22×#121—432no—
825C22×#120—432no—
826C22×C4×D4—431no—
827C22×C4×D4—431no—
828C23×C22⋊C4—432no—
829C2×C43—24no—
830C2×C43—28no—
831C2×C43—44no—
832C2×C43—42no—
833C2×C43C2×#54614yescomplemented
834C2×C43C24×D411yescharacteristic
835C2×C43C23×#4111yescharacteristic
836C2×C43C22×H(5,𝔽2)11yescharacteristic
837D43—24no—
838D43—28no—
839D43—42no—
840D43—44no—
841D43C2×#54618yesdirect product factor
842C26—432no—
843C22×#41—4316no—
844C22×#41—431no—
845C22×#41—431no—
846C22×#41—432no—
847C22×#41—431no—
848C22×#41—432no—
849C22×#41—8616no—
850C22×#41C2×D4311yescharacteristic, complemented
851C23×Q8—431no—
852C23×D4—431no—
853C23×D4—432no—
854C23×D4—432no—
855C23×D4—431no—
856C23×D4—432no—
857C23×D4—431no—
858C23×D4—431no—
859C23×D4—431no—
860C23×D4—4316no—
861C23×D4—432no—
862C23×D4—432no—
863C23×D4—431no—
864C23×D4—8616no—
865C23×D4C2×D4311yescharacteristic, complemented
866C24×C4—431no—
867C24×C4—432no—
868C24×C4—431no—
869C24×C4—432no—
870#546—4316no—
871#546—4316no—
872#546—4316no—
873#546—4332no—
874#546—4316no—
875#546—4332no—
876#546—4316no—
877#546—4332no—
878#546—4316no—
879#546—4316no—
880#546—4332no—
881#546C2×D43116yesdirect product factor
882C2×#124—431no—
883C2×#124—431no—
884C2×#124—4316no—
885C2×#124—432no—
886C2×#124—432no—
887C2×#124—431no—
888C2×#124C2×D4311yescharacteristic, complemented
889C2×#123—432no—
890C2×#123—432no—
891C2×#123—4332no—
892C2×#123—432no—
893C2×#123—432no—
894C2×#123—432no—
895C2×#123—432no—
896C2×#123—432no—
897C2×#123C2×D4312yescomplemented
898C2×C22⋊Q8—431no—
899C2×C22⋊Q8—431no—
900C2×C22⋊Q8—4316no—
901C2×C22⋊Q8—432no—
902C2×C22⋊Q8—431no—
903C2×C22⋊Q8—432no—
904C2×C22⋊Q8C2×D4311yescharacteristic, complemented
905C2×#121—431no—
906C2×#121—432no—
907C2×#121—432no—
908C2×#121—432no—
909C2×#121—432no—
910C2×#121—431no—
911C2×#121—432no—
912C2×#121—4316no—
913C2×#121—4332no—
914C2×#121—431no—
915C2×#121—432no—
916C2×#121—432no—
917C2×#121—432no—
918C2×#121—432no—
919C2×#121C2×D4311yescharacteristic, complemented
920C2×#121C2×D4312yescomplemented
921C2×#120—432no—
922C2×#120—432no—
923C2×#120—432no—
924C2×#120—432no—
925C2×#120—4332no—
926C2×#120—432no—
927C2×#120—432no—
928C2×#120—432no—
929C2×#120C2×D4312yescomplemented
930C2×C4×D4—431no—
931C2×C4×D4—431no—
932C2×C4×D4—431no—
933C2×C4×D4—432no—
934C2×C4×D4—431no—
935C2×C4×D4—4316no—
936C2×C4×D4—4316no—
937C2×C4×D4—431no—
938C2×C4×D4—431no—
939C2×C4×D4—431no—
940C2×C4×D4—431no—
941C2×C4×D4—432no—
942C2×C4×D4—431no—
943C2×C4×D4—431no—
944C2×C4×D4C2×D4311yescharacteristic, complemented
945C2×C4×D4C2×D4311yescharacteristic, complemented
946C22×C4⋊C4—431no—
947C22×C4⋊C4—431no—
948C22×C4⋊C4—432no—
949C22×C22⋊C4—432no—
950C22×C22⋊C4—432no—
951C22×C22⋊C4—432no—
952C22×C22⋊C4—431no—
953C22×C22⋊C4—432no—
954C22×C22⋊C4—432no—
955C22×C22⋊C4—432no—
956C22×C22⋊C4—432no—
957C22×C22⋊C4—432no—
958C22×C22⋊C4—432no—
959C22×C22⋊C4—432no—
960C22×C22⋊C4—4332no—
961C22×C22⋊C4—432no—
962C22×C22⋊C4—431no—
963C22×C22⋊C4—432no—
964C22×C22⋊C4C2×D4312yescomplemented
965C22×C42—431no—
966C43C22×#54611yescharacteristic, complemented, Sylow
967C25—431no—
968C25—432no—
969C25—432no—
970C25—431no—
971C25—4316no—
972C25—432no—
973C25—432no—
974C25—432no—
975C25—8616no—
976C25—8616no—
977C25—1728no—
978C25C22×D4312yes—
979C2×#41—28no—
980C2×#41—438no—
981C2×#41—438no—
982C2×#41—4316no—
983C2×#41—438no—
984C2×#41—4316no—
985C2×#41—8616no—
986C2×#41—868no—
987C2×#41—8616no—
988C2×#41—868no—
989C2×#41—86128no—
990C2×#41—868no—
991C2×#41C22×D4318yescomplemented
992C22×Q8—438no—
993C22×Q8—432no—
994C22×Q8—431no—
995C22×Q8—868no—
996C22×Q8C22×D4311yescharacteristic, complemented
997C22×D4—28no—
998C22×D4—432no—
999C22×D4—4316no—
1000C22×D4—438no—
1001C22×D4—431no—
1002C22×D4—431no—
1003C22×D4—432no—
1004C22×D4—432no—
1005C22×D4—432no—
1006C22×D4—432no—
1007C22×D4—432no—
1008C22×D4—4316no—
1009C22×D4—432no—
1010C22×D4—432no—
1011C22×D4—438no—
1012C22×D4—4316no—
1013C22×D4—438no—
1014C22×D4—4316no—
1015C22×D4—438no—
1016C22×D4—438no—
1017C22×D4—4316no—
1018C22×D4—4316no—
1019C22×D4—431no—
1020C22×D4—431no—
1021C22×D4—432no—
1022C22×D4—432no—
1023C22×D4—431no—
1024C22×D4—438no—
1025C22×D4—432no—
1026C22×D4—868no—
1027C22×D4—868no—
1028C22×D4—8616no—
1029C22×D4—86128no—
1030C22×D4—868no—
1031C22×D4—8616no—
1032C22×D4—8616no—
1033C22×D4—868no—
1034C22×D4—8616no—
1035C22×D4—868no—
1036C22×D4—1728no—
1037C22×D4C22×D4311yescharacteristic
1038C22×D4C22×D4312yes—
1039C22×D4C22×D4311yescharacteristic
1040C22×D4C22×D4311yescharacteristic
1041C22×D4C22×D4318yescomplemented
1042C22×D4C22×D4312yescomplemented
1043C22×D4C22×D4312yescomplemented
1044C23×C4—431no—
1045C23×C4—432no—
1046C23×C4—431no—
1047C23×C4—431no—
1048C23×C4—432no—
1049C23×C4—431no—
1050C23×C4—431no—
1051C23×C4—432no—
1052C23×C4—431no—
1053C23×C4—432no—
1054C23×C4—432no—
1055C23×C4—432no—
1056C23×C4—431no—
1057C23×C4—431no—
1058C23×C4—431no—
1059C23×C4—431no—
1060C23×C4—438no—
1061C23×C4—431no—
1062C23×C4—4316no—
1063C23×C4—438no—
1064C23×C4—432no—
1065C23×C4—432no—
1066C23×C4—4316no—
1067C23×C4—868no—
1068C23×C4—868no—
1069C23×C4—8616no—
1070C23×C4—1728no—
1071C23×C4C22×D4311yescharacteristic
1072C23×C4C22×D4312yescomplemented
1073C23×C4C22×D4311yescharacteristic, complemented
1074C23×C4C22×D4312yescomplemented
1075#124—438no—
1076#124—438no—
1077#124—4316no—
1078#124—4316no—
1079#124—438no—
1080#124C22×D4318yescomplemented
1081#123—4316no—
1082#123—4316no—
1083#123—4316no—
1084#123—4316no—
1085#123—4316no—
1086#123—4316no—
1087#123—4316no—
1088#123C22×D43116yescomplemented
1089C22⋊Q8—438no—
1090C22⋊Q8—438no—
1091C22⋊Q8—4316no—
1092C22⋊Q8—438no—
1093C22⋊Q8—4316no—
1094C22⋊Q8C22×D4318yescomplemented
1095#121—438no—
1096#121—4316no—
1097#121—4316no—
1098#121—4316no—
1099#121—4316no—
1100#121—438no—
1101#121—4316no—
1102#121—438no—
1103#121—4316no—
1104#121—4316no—
1105#121—4316no—
1106#121—4316no—
1107#121C22×D4318yescomplemented
1108#121C22×D43116yescomplemented
1109#120—4316no—
1110#120—4316no—
1111#120—4316no—
1112#120—4316no—
1113#120—4316no—
1114#120—4316no—
1115#120—4316no—
1116#120C22×D43116yescomplemented
1117C4×D4—438no—
1118C4×D4—438no—
1119C4×D4—438no—
1120C4×D4—4316no—
1121C4×D4—438no—
1122C4×D4—438no—
1123C4×D4—438no—
1124C4×D4—438no—
1125C4×D4—438no—
1126C4×D4—4316no—
1127C4×D4—438no—
1128C4×D4—438no—
1129C4×D4C22×D4318yescomplemented
1130C4×D4C22×D4318yescomplemented
1131C2×C4⋊C4—432no—
1132C2×C4⋊C4—431no—
1133C2×C4⋊C4—431no—
1134C2×C4⋊C4—431no—
1135C2×C4⋊C4—431no—
1136C2×C4⋊C4—432no—
1137C2×C4⋊C4—432no—
1138C2×C4⋊C4—432no—
1139C2×C4⋊C4—438no—
1140C2×C4⋊C4—438no—
1141C2×C4⋊C4—4316no—
1142C2×C4⋊C4C22×D4311yescharacteristic, complemented
1143C2×C4⋊C4C22×D4311yescharacteristic, complemented
1144C2×C4⋊C4C22×D4312yescomplemented
1145C2×C22⋊C4—431no—
1146C2×C22⋊C4—432no—
1147C2×C22⋊C4—432no—
1148C2×C22⋊C4—432no—
1149C2×C22⋊C4—4316no—
1150C2×C22⋊C4—432no—
1151C2×C22⋊C4—431no—
1152C2×C22⋊C4—432no—
1153C2×C22⋊C4—431no—
1154C2×C22⋊C4—431no—
1155C2×C22⋊C4—432no—
1156C2×C22⋊C4—432no—
1157C2×C22⋊C4—432no—
1158C2×C22⋊C4—432no—
1159C2×C22⋊C4—432no—
1160C2×C22⋊C4—432no—
1161C2×C22⋊C4—432no—
1162C2×C22⋊C4—432no—
1163C2×C22⋊C4—431no—
1164C2×C22⋊C4—431no—
1165C2×C22⋊C4—432no—
1166C2×C22⋊C4—432no—
1167C2×C22⋊C4—4316no—
1168C2×C22⋊C4—4316no—
1169C2×C22⋊C4—438no—
1170C2×C22⋊C4—4316no—
1171C2×C22⋊C4—4316no—
1172C2×C22⋊C4—4316no—
1173C2×C22⋊C4—4316no—
1174C2×C22⋊C4—4316no—
1175C2×C22⋊C4—4316no—
1176C2×C22⋊C4—4316no—
1177C2×C22⋊C4—4316no—
1178C2×C22⋊C4—438no—
1179C2×C22⋊C4—4316no—
1180C2×C22⋊C4C22×D4311yescharacteristic
1181C2×C22⋊C4C22×D4312yes—
1182C2×C22⋊C4C22×D43116yescomplemented
1183C2×C22⋊C4C22×D4312yescomplemented
1184C2×C22⋊C4C22×D4312yescomplemented
1185C2×C22⋊C4C22×D4312yescomplemented
1186C2×C22⋊C4C22×D4311yescharacteristic, complemented
1187C2×C22⋊C4C22×D4312yescomplemented
1188C2×C42—431no—
1189C2×C42—431no—
1190C2×C42—431no—
1191C2×C42—438no—
1192C2×C42C22×D4311yescharacteristic, complemented
1193C24—28no—
1194C24—28no—
1195C24—44no—
1196C24—431no—
1197C24—4316no—
1198C24—438no—
1199C24—434no—
1200C24—438no—
1201C24—431no—
1202C24—432no—
1203C24—438no—
1204C24—434no—
1205C24—432no—
1206C24—431no—
1207C24—438no—
1208C24—438no—
1209C24—438no—
1210C24—864no—
1211C24—868no—
1212C24—868no—
1213C24—864no—
1214C24—864no—
1215C24—868no—
1216C24—868no—
1217C24—8664no—
1218C24—868no—
1219C24—864no—
1220C24—864no—
1221C24—868no—
1222C24—868no—
1223C24—868no—
1224C24—868no—
1225C24—8664no—
1226C24—868no—
1227C24—868no—
1228C24—1724no—
1229C24—1724no—
1230C24—1724no—
1231C24—17232no—
1232C24—172128no—
1233C24C23×D4312yes—
1234C24C23×D4311yescharacteristic
1235C24C23×D4318yes—
1236C24C23×D4312yes—
1237C24C23×D4311yescharacteristic
1238#41—232no—
1239#41—8664no—
1240#41—8632no—
1241#41—8664no—
1242#41—8632no—
1243#41—8632no—
1244C2×Q8—24no—
1245C2×Q8—438no—
1246C2×Q8—434no—
1247C2×Q8—868no—
1248C2×Q8—8632no—
1249C2×Q8—864no—
1250C2×Q8C23×D4314yescomplemented
1251C2×D4—28no—
1252C2×D4—28no—
1253C2×D4—24no—
1254C2×D4—232no—
1255C2×D4—24no—
1256C2×D4—44no—
1257C2×D4—4316no—
1258C2×D4—438no—
1259C2×D4—4364no—
1260C2×D4—434no—
1261C2×D4—434no—
1262C2×D4—438no—
1263C2×D4—438no—
1264C2×D4—438no—
1265C2×D4—438no—
1266C2×D4—438no—
1267C2×D4—438no—
1268C2×D4—438no—
1269C2×D4—438no—
1270C2×D4—434no—
1271C2×D4—434no—
1272C2×D4—438no—
1273C2×D4—438no—
1274C2×D4—434no—
1275C2×D4—438no—
1276C2×D4—8632no—
1277C2×D4—868no—
1278C2×D4—868no—
1279C2×D4—864no—
1280C2×D4—8632no—
1281C2×D4—868no—
1282C2×D4—8664no—
1283C2×D4—8632no—
1284C2×D4—8664no—
1285C2×D4—8664no—
1286C2×D4—8632no—
1287C2×D4—8664no—
1288C2×D4—868no—
1289C2×D4—868no—
1290C2×D4—864no—
1291C2×D4—868no—
1292C2×D4—868no—
1293C2×D4—864no—
1294C2×D4—8632no—
1295C2×D4—864no—
1296C2×D4—1724no—
1297C2×D4—17232no—
1298C2×D4—1724no—
1299C2×D4—1724no—
1300C2×D4D4×D4318yescomplemented
1301C2×D4C23×D4314yes—
1302C2×D4C23×D4318yes—
1303C2×D4C23×D4314yes—
1304C2×D4C23×D4314yes—
1305C2×D4C23×D4318yescomplemented
1306C2×D4C23×D4318yescomplemented
1307C22×C4—28no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—44no—
1311C22×C4—431no—
1312C22×C4—438no—
1313C22×C4—434no—
1314C22×C4—438no—
1315C22×C4—434no—
1316C22×C4—434no—
1317C22×C4—431no—
1318C22×C4—431no—
1319C22×C4—432no—
1320C22×C4—431no—
1321C22×C4—432no—
1322C22×C4—431no—
1323C22×C4—438no—
1324C22×C4—434no—
1325C22×C4—434no—
1326C22×C4—438no—
1327C22×C4—434no—
1328C22×C4—438no—
1329C22×C4—438no—
1330C22×C4—438no—
1331C22×C4—434no—
1332C22×C4—434no—
1333C22×C4—434no—
1334C22×C4—434no—
1335C22×C4—434no—
1336C22×C4—438no—
1337C22×C4—438no—
1338C22×C4—864no—
1339C22×C4—8632no—
1340C22×C4—864no—
1341C22×C4—8632no—
1342C22×C4—864no—
1343C22×C4—864no—
1344C22×C4—868no—
1345C22×C4—868no—
1346C22×C4—868no—
1347C22×C4—8664no—
1348C22×C4—864no—
1349C22×C4—868no—
1350C22×C4—864no—
1351C22×C4—864no—
1352C22×C4—864no—
1353C22×C4—868no—
1354C22×C4—864no—
1355C22×C4—864no—
1356C22×C4—1724no—
1357C22×C4—1724no—
1358C22×C4—17232no—
1359C22×C4—1724no—
1360C22×C4C23×D4314yes—
1361C22×C4C23×D4311yescharacteristic
1362C22×C4C23×D4311yescharacteristic
1363C22×C4C23×D4312yes—
1364C22×C4C23×D4311yescharacteristic
1365C22×C4C23×D4312yes—
1366C22×C4C23×D4311yescharacteristic
1367C22×C4C23×D4311yescharacteristic
1368C22×C4C23×D4318yescomplemented
1369C22×C4C23×D4314yescomplemented
1370C22×C4C23×D4318yescomplemented
1371C4⋊C4—438no—
1372C4⋊C4—434no—
1373C4⋊C4—434no—
1374C4⋊C4—434no—
1375C4⋊C4—434no—
1376C4⋊C4—438no—
1377C4⋊C4—438no—
1378C4⋊C4—438no—
1379C4⋊C4C23×D4314yescomplemented
1380C4⋊C4C23×D4314yescomplemented
1381C4⋊C4C23×D4318yescomplemented
1382C22⋊C4—434no—
1383C22⋊C4—438no—
1384C22⋊C4—438no—
1385C22⋊C4—438no—
1386C22⋊C4—438no—
1387C22⋊C4—434no—
1388C22⋊C4—438no—
1389C22⋊C4—434no—
1390C22⋊C4—434no—
1391C22⋊C4—438no—
1392C22⋊C4—438no—
1393C22⋊C4—438no—
1394C22⋊C4—438no—
1395C22⋊C4—438no—
1396C22⋊C4—438no—
1397C22⋊C4—438no—
1398C22⋊C4—438no—
1399C22⋊C4—434no—
1400C22⋊C4—434no—
1401C22⋊C4—438no—
1402C22⋊C4—438no—
1403C22⋊C4C23×D4314yes—
1404C22⋊C4C23×D4318yes—
1405C22⋊C4C23×D4318yescomplemented
1406C22⋊C4C23×D4318yescomplemented
1407C22⋊C4C23×D4318yescomplemented
1408C22⋊C4C23×D4314yescomplemented
1409C22⋊C4C23×D4318yescomplemented
1410C42—434no—
1411C42—434no—
1412C42—434no—
1413C42C23×D4314yescomplemented
1414C23—22no—
1415C23—24no—
1416C23—24no—
1417C23—22no—
1418C23—22no—
1419C23—216no—
1420C23—24no—
1421C23—22no—
1422C23—24no—
1423C23—216no—
1424C23—22no—
1425C23—24no—
1426C23—48no—
1427C23—432no—
1428C23—434no—
1429C23—434no—
1430C23—434no—
1431C23—432no—
1432C23—4332no—
1433C23—438no—
1434C23—434no—
1435C23—4316no—
1436C23—432no—
1437C23—434no—
1438C23—434no—
1439C23—432no—
1440C23—868no—
1441C23—8616no—
1442C23—8616no—
1443C23—8664no—
1444C23—8632no—
1445C23—868no—
1446C23—868no—
1447C23—8616no—
1448C23—8616no—
1449C23—8616no—
1450C23—868no—
1451C23—868no—
1452C23—8616no—
1453C23—8616no—
1454C23—8616no—
1455C23—8616no—
1456C23—862no—
1457C23—864no—
1458C23—864no—
1459C23—862no—
1460C23—862no—
1461C23—8616no—
1462C23—864no—
1463C23—862no—
1464C23—864no—
1465C23—8616no—
1466C23—862no—
1467C23—864no—
1468C23—1728no—
1469C23—1728no—
1470C23—1728no—
1471C23—17232no—
1472C23—17232no—
1473C23—17216no—
1474C23—17232no—
1475C23—172256no—
1476C23—17232no—
1477C23C2×D4×D4318yes—
1478C23#41×D4314yescomplemented
1479C23C24×D4314yes—
1480C23C24×D4312yes—
1481C23C24×D4314yes—
1482C23C24×D4312yes—
1483C23C24×D4311yescharacteristic
1484Q8—28no—
1485Q8—8616no—
1486Q8—868no—
1487D4—216no—
1488D4—216no—
1489D4—28no—
1490D4—28no—
1491D4—48no—
1492D4—4332no—
1493D4—4316no—
1494D4—8616no—
1495D4—8616no—
1496D4—868no—
1497D4—8616no—
1498D4—8616no—
1499D4—8616no—
1500D4—868no—
1501D4—8616no—
1502D4—8616no—
1503D4—868no—
1504D4—868no—
1505D4—1728no—
1506D4—1728no—
1507D4—1728no—
1508D4C2×D4×D43116yescomplemented
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—24no—
1512C2×C4—216no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—24no—
1516C2×C4—28no—
1517C2×C4—28no—
1518C2×C4—48no—
1519C2×C4—434no—
1520C2×C4—432no—
1521C2×C4—4316no—
1522C2×C4—432no—
1523C2×C4—432no—
1524C2×C4—434no—
1525C2×C4—432no—
1526C2×C4—434no—
1527C2×C4—432no—
1528C2×C4—868no—
1529C2×C4—868no—
1530C2×C4—868no—
1531C2×C4—868no—
1532C2×C4—8616no—
1533C2×C4—8616no—
1534C2×C4—8616no—
1535C2×C4—868no—
1536C2×C4—8616no—
1537C2×C4—868no—
1538C2×C4—868no—
1539C2×C4—868no—
1540C2×C4—862no—
1541C2×C4—862no—
1542C2×C4—864no—
1543C2×C4—8616no—
1544C2×C4—862no—
1545C2×C4—862no—
1546C2×C4—864no—
1547C2×C4—868no—
1548C2×C4—868no—
1549C2×C4—1728no—
1550C2×C4—1728no—
1551C2×C4—1728no—
1552C2×C4C2×D4×D4314yes—
1553C2×C4C24×D4312yes—
1554C2×C4C24×D4312yes—
1555C2×C4C24×D4314yes—
1556C2×C4C24×D4312yes—
1557C2×C4C24×D4314yes—
1558C2×C4C24×D4312yes—
1559C2×C4C24×D4312yes—
1560C22—28no—
1561C22—216no—
1562C22—22no—
1563C22—24no—
1564C22—24no—
1565C22—22no—
1566C22—22no—
1567C22—24no—
1568C22—22no—
1569C22—24no—
1570C22—22no—
1571C22—24no—
1572C22—432no—
1573C22—48no—
1574C22—44no—
1575C22—4316no—
1576C22—434no—
1577C22—434no—
1578C22—434no—
1579C22—438no—
1580C22—434no—
1581C22—8632no—
1582C22—8664no—
1583C22—868no—
1584C22—8616no—
1585C22—862no—
1586C22—864no—
1587C22—864no—
1588C22—862no—
1589C22—862no—
1590C22—864no—
1591C22—862no—
1592C22—864no—
1593C22—862no—
1594C22—864no—
1595C22—17232no—
1596C22—17232no—
1597C22—17232no—
1598C22—17216no—
1599C22—17232no—
1600C22—1728no—
1601C22—1724no—
1602C22C22×D4×D4318yes—
1603C22C22×D4×D4312yes—
1604C22C2×#41×D4312yes—
1605C22C2×#41×D4314yescomplemented
1606C22H(5,𝔽2)×D4312yes—
1607C22C25×D4311yescharacteristic
1608C4—22no—
1609C4—22no—
1610C4—24no—
1611C4—22no—
1612C4—22no—
1613C4—24no—
1614C4—434no—
1615C4—862no—
1616C4—862no—
1617C4—864no—
1618C4—862no—
1619C4—862no—
1620C4—864no—
1621C4C22×D4×D4314yes—
1622C2—24no—
1623C2—28no—
1624C2—44no—
1625C2—42no—
1626C2—438no—
1627C2—864no—
1628C2—868no—
1629C2—1724no—
1630C2—1722no—
1631C2#546×D4314yesdirect product factor
1632C2C23×D4×D4311yescharacteristic
1633C2C22×#41×D4311yescharacteristic
1634C2C2×H(5,𝔽2)×D4311yescharacteristic
subgroupG/H
centerC23C24×D43
commutator, cosocleC22×C43C26
FrattiniC22C25×D43
FittingC2×C43×#546C2
socleC23×C43C25
hypercenterC2×#546D43
hypocenterC43C22×#546
LCSG ▷ C22×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×#546

Complements

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

NH ≅ G/Ntype
1. C22×#41×D43C2semidirect
2. C23×D4×D43C2semidirect
3. C2×#14583546C2semidirect
4. C2×#14583545C2semidirect
5. C2×#14583544C2semidirect
6. C2×#14583543C2semidirect
7. C2×#14583542C2semidirect
8. C2×#14583541C2semidirect
9. C2×#14583540C2semidirect
10. C2×#14583539C2semidirect
11. C2×#14583538C2semidirect
12. C2×#14583537C2semidirect
13. C2×#14583536C2semidirect
14. #546×D43C2direct (N × H)
15. C2×#124×D43C2semidirect
16. C2×#123×D43C2semidirect
17. C2×C22⋊Q8×D43C2semidirect
18. C2×#121×D43C2semidirect
19. C2×#121×D43C2semidirect
20. C2×#120×D43C2semidirect
21. C2×C4×D4×D43C2semidirect
22. C2×C4×D4×D43C2semidirect
23. C22×C22⋊C4×D43C2semidirect
24. C2×C43×#546C2semidirect
26. C22×#10621902C22semidirect
27. C22×#10621898C22semidirect
28. C22×#10621898C22semidirect
29. C22×#10621900C22semidirect
30. C22×#10621900C22semidirect
32. C2×#41×D43C22semidirect
33. C22×Q8×D43C22semidirect
34. C23×D172C22semidirect
35. C23×C22⋊D43C22semidirect
41. C22×D4×D43C22semidirect
42. C22×D4×D43C22semidirect
43. C22×D4×D43C22semidirect
44. C22×D4×D43C22semidirect
45. C22×D4×D43C22semidirect
46. C22×D4×D43C22semidirect
48. C23×C4×D43C22semidirect
49. C23×C4×D43C22semidirect
50. C23×C4×D43C22semidirect
51. #14583546C22semidirect
52. #14583545C22semidirect
53. #14583544C22semidirect
54. #14583543C22semidirect
55. #14583542C22semidirect
56. #14583541C22semidirect
57. #14583540C22semidirect
58. #14583539C22semidirect
59. #14583538C22semidirect
60. #14583537C22semidirect
61. #14583536C22semidirect
62. C2×#13063314C22semidirect
63. C2×#13063313C22semidirect
64. C2×#13063312C22semidirect
65. C2×#13063311C22semidirect
66. C2×#13063311C22semidirect
67. #124×D43C22semidirect
68. C2×#13063310C22semidirect
69. C2×#13063310C22semidirect
70. C2×#13063309C22semidirect
71. C2×#13063308C22semidirect
72. C2×#13063307C22semidirect
73. C2×#13063307C22semidirect
74. C2×#13063306C22semidirect
75. #123×D43C22semidirect
76. C2×#13063305C22semidirect
77. C2×#13063304C22semidirect
78. C2×#13063303C22semidirect
79. C2×#13063302C22semidirect
80. C2×#13063301C22semidirect
81. C22⋊Q8×D43C22semidirect
82. C2×#13063300C22semidirect
83. C2×#13063300C22semidirect
84. C2×#13063299C22semidirect
85. C2×#13063299C22semidirect
86. C2×#13063298C22semidirect
87. C2×#13063298C22semidirect
88. C2×#13063298C22semidirect
89. C2×#13063297C22semidirect
90. C2×#13063297C22semidirect
91. C2×#13063297C22semidirect
92. C2×#13063296C22semidirect
93. C2×#13063296C22semidirect
94. #121×D43C22semidirect
95. #121×D43C22semidirect
96. C2×#13063295C22semidirect
97. C2×#13063295C22semidirect
98. C2×#13063295C22semidirect
99. C2×#13063294C22semidirect
100. C2×#13063293C22semidirect
101. C2×#13063293C22semidirect
102. C2×#13063293C22semidirect
103. #120×D43C22semidirect
104. C2×C4×D172C22semidirect
105. C2×C4×D172C22semidirect
106. C2×D4×Dic43C22semidirect
107. C2×D4×Dic43C22semidirect
108. C2×#13063287C22semidirect
109. C2×#13063287C22semidirect
110. C2×C4×C22⋊D43C22semidirect
111. C2×C4×C22⋊D43C22semidirect
112. C2×C4×C22⋊D43C22semidirect
113. C2×(C22⋊D43)⋊C4C22semidirect
114. C2×(C22⋊D43)⋊C4C22semidirect
115. C2×(C22⋊D43)⋊C4C22semidirect
116. C4×D4×D43C22semidirect
117. C4×D4×D43C22semidirect
118. C2×C4⋊C4×D43C22semidirect
119. C2×C4⋊C4×D43C22semidirect
120. C2×C4⋊C4×D43C22semidirect
121. C22×C22⋊Dic43C22semidirect
122. C22×(C2×D43)⋊C4C22semidirect
123. C22×(C2×D43)⋊C4C22semidirect
126. C2×C22⋊C4×D43C22semidirect
127. C2×C22⋊C4×D43C22semidirect
128. C2×C22⋊C4×D43C22semidirect
129. C2×C22⋊C4×D43C22semidirect
130. C2×C22⋊C4×D43C22semidirect
131. C2×C22⋊C4×D43C22semidirect
132. C2×C22⋊C4×D43C22semidirect
133. C2×C22⋊C4×D43C22semidirect
134. C2×C22⋊C4×D43C22semidirect
135. C2×C22⋊C4×D43C22semidirect
136. C2×C42×D43C22semidirect
137. C22×#41×C43C22semidirect
138. C23×D4×C43C22semidirect
139. C43×#546C22semidirect
140. C2×#124×C43C22semidirect
141. C2×#123×C43C22semidirect
142. C2×C22⋊Q8×C43C22semidirect
143. C2×#121×C43C22semidirect
144. C2×#121×C43C22semidirect
145. C2×#120×C43C22semidirect
146. C2×C4×D4×C43C22semidirect
147. C2×C4×D4×C43C22semidirect
148. C22×C22⋊C4×C43C22semidirect
161. C2×#10621902C23semidirect
164. C2×#10621898C23semidirect
165. C2×#10621898C23semidirect
168. C2×#10621900C23semidirect
169. C2×#10621900C23semidirect
171. C22×Dic86C23semidirect
172. C22×Dic86C23semidirect
174. C2×Q8×D43C23semidirect
180. C22×D172C23semidirect
181. C22×D172C23semidirect
182. C22×D172C23semidirect
190. C22×C22⋊D43C23semidirect
191. C22×C22⋊D43C23semidirect
192. C22×C22⋊D43C23semidirect
193. C22×C22⋊D43C23semidirect
194. C22×C22⋊D43C23semidirect
204. C2×D4×D43D4semidirect
209. C2×D4×D43C23semidirect
210. C2×D4×D43C23semidirect
211. C2×D4×D43C23semidirect
212. C2×D4×D43C23semidirect
213. C2×D4×D43C23semidirect
215. C23×Dic43C23semidirect
216. C23×Dic43C23semidirect
217. C23×Dic43C23semidirect
232. C22×C4×D43C23semidirect
233. C22×C4×D43C23semidirect
234. C22×C4×D43C23semidirect
235. C22×C4×D43C23semidirect
236. C22×C4×D43C23semidirect
237. C22×C4×D43C23semidirect
238. C22×C4×D43C23semidirect
239. C22×C4×D43C23semidirect
240. C22×C4×D43C23semidirect
241. #13063314C23semidirect
242. #13063313C23semidirect
243. #13063312C23semidirect
244. #13063311C23semidirect
245. #13063311C23semidirect
246. #13063310C23semidirect
247. #13063310C23semidirect
248. #13063309C23semidirect
249. #13063308C23semidirect
250. #13063307C23semidirect
251. #13063307C23semidirect
252. #13063306C23semidirect
253. #13063305C23semidirect
254. #13063304C23semidirect
255. #13063303C23semidirect
256. #13063302C23semidirect
257. #13063301C23semidirect
258. #13063300C23semidirect
259. #13063300C23semidirect
260. #13063299C23semidirect
261. #13063299C23semidirect
262. #13063298C23semidirect
263. #13063298C23semidirect
264. #13063298C23semidirect
265. #13063297C23semidirect
266. #13063297C23semidirect
267. #13063297C23semidirect
268. #13063296C23semidirect
269. #13063296C23semidirect
270. #13063295C23semidirect
271. #13063295C23semidirect
272. #13063295C23semidirect
273. #13063294C23semidirect
274. #13063293C23semidirect
275. #13063293C23semidirect
276. #13063293C23semidirect
277. C4×D172C23semidirect
278. C4×D172C23semidirect
279. D4×Dic43C23semidirect
280. D4×Dic43C23semidirect
281. #13063287C23semidirect
282. #13063287C23semidirect
283. C4×C22⋊D43C23semidirect
284. C4×C22⋊D43C23semidirect
285. C4×C22⋊D43C23semidirect
286. (C22⋊D43)⋊C4C23semidirect
287. (C22⋊D43)⋊C4C23semidirect
288. (C22⋊D43)⋊C4C23semidirect
289. C2×C4⋊Dic43C23semidirect
290. C2×C4⋊Dic43C23semidirect
291. C2×C4⋊Dic43C23semidirect
292. C2×Dic43⋊C4C23semidirect
293. C2×Dic43⋊C4C23semidirect
294. C2×Dic43⋊C4C23semidirect
295. C2×Dic43⋊C4C23semidirect
296. C2×Dic43⋊C4C23semidirect
297. C4⋊C4×D43C23semidirect
298. C4⋊C4×D43C23semidirect
299. C4⋊C4×D43C23semidirect
302. C2×C22⋊Dic43C23semidirect
303. C2×C22⋊Dic43C23semidirect
304. C2×C22⋊Dic43C23semidirect
305. C2×C22⋊Dic43C23semidirect
306. C2×C22⋊Dic43C23semidirect
307. C2×C22⋊Dic43C23semidirect
312. C2×(C2×D43)⋊C4C23semidirect
313. C2×(C2×D43)⋊C4C23semidirect
314. C2×(C2×D43)⋊C4C23semidirect
315. C2×(C2×D43)⋊C4C23semidirect
316. C2×(C2×D43)⋊C4C23semidirect
317. C2×(C2×D43)⋊C4C23semidirect
318. C2×(C2×D43)⋊C4C23semidirect
319. C2×(C2×D43)⋊C4C23semidirect
320. C2×(C2×D43)⋊C4C23semidirect
321. C2×(C2×D43)⋊C4C23semidirect
322. C2×(C2×D43)⋊C4C23semidirect
323. C2×(C2×D43)⋊C4C23semidirect
326. C22⋊C4×D43C23semidirect
327. C22⋊C4×D43C23semidirect
328. C22⋊C4×D43C23semidirect
329. C22⋊C4×D43C23semidirect
330. C22⋊C4×D43C23semidirect
331. C22⋊C4×D43C23semidirect
332. C22⋊C4×D43C23semidirect
333. C22⋊C4×D43C23semidirect
334. C22⋊C4×D43C23semidirect
335. C2×C4×Dic43C23semidirect
336. C2×C4×Dic43C23semidirect
337. C2×C4×Dic43C23semidirect
338. C42×D43C23semidirect
341. C2×#41×C43C23semidirect
342. C22×Q8×C43C23semidirect
348. C22×D4×C43C23semidirect
349. C22×D4×C43C23semidirect
350. C22×D4×C43C23semidirect
352. C23×C4×C43C23semidirect
353. C23×C4×C43C23semidirect
354. C23×C4×C43C23semidirect
355. #124×C43C23semidirect
356. #123×C43C23semidirect
357. C22⋊Q8×C43C23semidirect
358. #121×C43C23semidirect
359. #121×C43C23semidirect
360. #120×C43C23semidirect
361. C4×D4×C43C23semidirect
362. C4×D4×C43C23semidirect
363. C2×C4⋊C4×C43C23semidirect
364. C2×C4⋊C4×C43C23semidirect
365. C2×C4⋊C4×C43C23semidirect
368. C2×C22⋊C4×C43C23semidirect
369. C2×C22⋊C4×C43C23semidirect
370. C2×C22⋊C4×C43C23semidirect
371. C2×C22⋊C4×C43C23semidirect
372. C2×C22⋊C4×C43C23semidirect
373. C2×C22⋊C4×C43C23semidirect
374. C2×C42×C43C23semidirect
407. C23×D43#41semidirect
422. C2×Q8×C43C24semidirect
429. C2×D4×C43C2×D4semidirect
434. C2×D4×C43C24semidirect
435. C2×D4×C43C24semidirect
448. C22×C4×C43C24semidirect
449. C22×C4×C43C24semidirect
450. C22×C4×C43C24semidirect
461. C2×C22⋊D43C2×D4semidirect
468. C2×C22⋊D43C24semidirect
469. C2×C22⋊D43C24semidirect
470. C2×C22⋊D43C24semidirect
471. C2×C22⋊D43C24semidirect
484. C22×Dic43C24semidirect
485. C22×Dic43C24semidirect
486. C22×Dic43C24semidirect
499. D4×D43C2×D4semidirect
508. C2×D172C2×D4semidirect
513. C2×D172C24semidirect
514. C2×D172C24semidirect
543. C2×C4×D43C24semidirect
544. C2×C4×D43C24semidirect
545. C2×C4×D43C24semidirect
546. C2×C4×D43C24semidirect
547. C2×C4×D43C24semidirect
548. C2×C4×D43C24semidirect
551. C2×Dic86C24semidirect
552. C2×Dic86C24semidirect
553. C4⋊C4×C43C24semidirect
554. C4⋊C4×C43C24semidirect
555. C4⋊C4×C43C24semidirect
558. C22⋊C4×C43C24semidirect
559. C22⋊C4×C43C24semidirect
560. C22⋊C4×C43C24semidirect
561. C22⋊C4×C43C24semidirect
562. C22⋊C4×C43C24semidirect
563. C42×C43C24semidirect
566. C22⋊Dic43C24semidirect
567. C22⋊Dic43C24semidirect
568. C22⋊Dic43C24semidirect
569. C22⋊Dic43C24semidirect
570. C22⋊Dic43C24semidirect
575. (C2×D43)⋊C4C24semidirect
576. (C2×D43)⋊C4C24semidirect
577. (C2×D43)⋊C4C24semidirect
578. (C2×D43)⋊C4C24semidirect
579. (C2×D43)⋊C4C24semidirect
580. (C2×D43)⋊C4C24semidirect
581. (C2×D43)⋊C4C24semidirect
582. (C2×D43)⋊C4C24semidirect
583. (C2×D43)⋊C4C24semidirect
584. (C2×D43)⋊C4C24semidirect
585. C4⋊Dic43C24semidirect
586. C4⋊Dic43C24semidirect
587. C4⋊Dic43C24semidirect
588. Dic43⋊C4C24semidirect
589. Dic43⋊C4C24semidirect
590. Dic43⋊C4C24semidirect
591. Dic43⋊C4C24semidirect
592. Dic43⋊C4C24semidirect
593. C4×Dic43C24semidirect
594. C4×Dic43C24semidirect
595. C4×Dic43C24semidirect
611. C23×C43C2×#41semidirect
658. C22×D43C2×#41semidirect
659. C22×D43C2×#41semidirect
672. D4×C43C22×D4semidirect
700. C22⋊D43C22×D4semidirect
724. D172C22×D4semidirect
761. C22×C43C22×#41semidirect
785. C2×D43#546direct (N × H)
789. C2×D43C22×#41semidirect
819. C2×#546D43direct (N × H)
833. C2×C43C2×#546semidirect
841. D43C2×#546direct (N × H)
850. C22×#41C2×D43semidirect
865. C23×D4C2×D43semidirect
881. #546C2×D43direct (N × H)
888. C2×#124C2×D43semidirect
897. C2×#123C2×D43semidirect
904. C2×C22⋊Q8C2×D43semidirect
919. C2×#121C2×D43semidirect
920. C2×#121C2×D43semidirect
929. C2×#120C2×D43semidirect
944. C2×C4×D4C2×D43semidirect
945. C2×C4×D4C2×D43semidirect
964. C22×C22⋊C4C2×D43semidirect
966. C43C22×#546semidirect
991. C2×#41C22×D43semidirect
996. C22×Q8C22×D43semidirect
1041. C22×D4C22×D43semidirect
1042. C22×D4C22×D43semidirect
1043. C22×D4C22×D43semidirect
1072. C23×C4C22×D43semidirect
1073. C23×C4C22×D43semidirect
1074. C23×C4C22×D43semidirect
1080. #124C22×D43semidirect
1088. #123C22×D43semidirect
1094. C22⋊Q8C22×D43semidirect
1107. #121C22×D43semidirect
1108. #121C22×D43semidirect
1116. #120C22×D43semidirect
1129. C4×D4C22×D43semidirect
1130. C4×D4C22×D43semidirect
1142. C2×C4⋊C4C22×D43semidirect
1143. C2×C4⋊C4C22×D43semidirect
1144. C2×C4⋊C4C22×D43semidirect
1182. C2×C22⋊C4C22×D43semidirect
1183. C2×C22⋊C4C22×D43semidirect
1184. C2×C22⋊C4C22×D43semidirect
1185. C2×C22⋊C4C22×D43semidirect
1186. C2×C22⋊C4C22×D43semidirect
1187. C2×C22⋊C4C22×D43semidirect
1192. C2×C42C22×D43semidirect
1250. C2×Q8C23×D43semidirect
1300. C2×D4D4×D43semidirect
1305. C2×D4C23×D43semidirect
1306. C2×D4C23×D43semidirect
1368. C22×C4C23×D43semidirect
1369. C22×C4C23×D43semidirect
1370. C22×C4C23×D43semidirect
1379. C4⋊C4C23×D43semidirect
1380. C4⋊C4C23×D43semidirect
1381. C4⋊C4C23×D43semidirect
1405. C22⋊C4C23×D43semidirect
1406. C22⋊C4C23×D43semidirect
1407. C22⋊C4C23×D43semidirect
1408. C22⋊C4C23×D43semidirect
1409. C22⋊C4C23×D43semidirect
1413. C42C23×D43semidirect
1478. C23#41×D43semidirect
1508. D4C2×D4×D43semidirect
1605. C22C2×#41×D43semidirect
1631. C2#546×D43direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#41×D432
C23×D4×D432
C2×#145835462
C2×#145835452
C2×#145835442
C2×#145835432
C2×#145835422
C2×#145835412
C2×#145835402
C2×#145835392
C2×#145835382
C2×#145835372
C2×#145835362
#546×D432
C2×#124×D432
C2×#123×D432
C2×C22⋊Q8×D432
C2×#121×D432
C2×#120×D432
C2×C4×D4×D432
C22×C22⋊C4×D432
C2×C43×#5462
C22×#54643