Finite Group Databasebeta

← C43×#34302 #24954319

Subgroups — C43×#34302 #24954319

Order 11008.

2956 conjugacy classes of subgroups.

The subgroup lattice has 1710 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C43×#546C211yesmaximal, characteristic
2C43×#2374C211yesmaximal, characteristic, complemented
3C43×#2372C211yesmaximal, characteristic, complemented
4C43×#2368C211yesmaximal, characteristic, complemented
5C43×#2364C211yesmaximal, characteristic, complemented
6C43×#2364C211yesmaximal, characteristic, complemented
7C43×#2363C211yesmaximal, characteristic, complemented
8C43×#2359C211yesmaximal, characteristic, complemented
9C43×#2358C211yesmaximal, characteristic, complemented
10C43×#2358C211yesmaximal, characteristic, complemented
11C43×#2353C211yesmaximal, characteristic, complemented
12C43×#2353C211yesmaximal, characteristic, complemented
13C43×#2342C211yesmaximal, characteristic, complemented
14C43×#2342C211yesmaximal, characteristic, complemented
15C43×#2339C211yesmaximal, characteristic, complemented
16D4×C22⋊C4×C43C211yesmaximal, characteristic, complemented
17C43×#2337C211yesmaximal, characteristic, complemented
18C43×#2335C211yesmaximal, characteristic, complemented
19C43×#2333C211yesmaximal, characteristic, complemented
20C43×#2333C211yesmaximal, characteristic, complemented
21C43×#2329C211yesmaximal, characteristic, complemented
22C43×#2321C211yesmaximal, characteristic, complemented
23C4×#123×C43C211yesmaximal, characteristic, complemented
24C4×#121×C43C211yesmaximal, characteristic, complemented
25C4×#120×C43C211yesmaximal, characteristic, complemented
26C43×#2297C211yesmaximal, characteristic, complemented
27C43×#2290C211yesmaximal, characteristic, complemented
28C2×C43×#386C211yesmaximal, characteristic, complemented
29C43×#2275C211yesmaximal, characteristic, complemented
30C43×#2273C211yesmaximal, characteristic, complemented
31C2×C4×C22⋊C4×C43C211yesmaximal, characteristic, complemented
32C22×#41×C43C2211yescharacteristic
33C23×D4×C43C2211yescharacteristic
34C24×C4×C43C2211yescharacteristic
35C43×#546C4116yescomplemented
36C2×#124×C43C2211yescharacteristic
37C2×#123×C43C2211yescharacteristic
38C2×#123×C43C2211yescharacteristic
39C2×C22⋊Q8×C43C2211yescharacteristic
40C2×#121×C43C2211yescharacteristic
41C2×#121×C43C2211yescharacteristic
42C2×#121×C43C2211yescharacteristic
43C2×#120×C43C2211yescharacteristic
44C2×#120×C43C2211yescharacteristic
45C2×C4×D4×C43C2211yescharacteristic
46C2×C4×D4×C43C2211yescharacteristic
47C2×C4×D4×C43C2211yescharacteristic
48C2×C4×D4×C43C2211yescharacteristic
49C2×C4×D4×C43C2211yescharacteristic
50C2×C4×D4×C43C2211yescharacteristic
51C2×C4×D4×C43C2211yescharacteristic, complemented
52C2×C4×D4×C43C2211yescharacteristic, complemented
53C2×C4×D4×C43C2211yescharacteristic, complemented
54C2×C4×D4×C43C2211yescharacteristic, complemented
55C2×#117×C43C2211yescharacteristic, complemented
56C2×#117×C43C2211yescharacteristic, complemented
57C22×C22⋊C4×C43C2211yescharacteristic
58C22×C22⋊C4×C43C2211yescharacteristic
59C22×C22⋊C4×C43C2211yescharacteristic
60C22×C22⋊C4×C43C2211yescharacteristic
61C22×C22⋊C4×C43C2211yescharacteristic
62C22×C22⋊C4×C43C2211yescharacteristic
63C22×C22⋊C4×C43C2211yescharacteristic
64C22×C42×C43C2211yescharacteristic, complemented
65C22×C42×C43C2211yescharacteristic, complemented
66C43×#391C2211yescharacteristic, complemented
67C43×#391C2211yescharacteristic, complemented
68C43×#391C2211yescharacteristic, complemented
69C43×#391C2211yescharacteristic, complemented
70C43×#390C2211yescharacteristic
71C43×#390C2211yescharacteristic
72C43×#390C2211yescharacteristic, complemented
73C43×#390C2211yescharacteristic, complemented
74C43×#390C2211yescharacteristic, complemented
75C43×#390C2211yescharacteristic, complemented
76C43×#389C2211yescharacteristic, complemented
77C43×#389C2211yescharacteristic, complemented
78C43×#388C2211yescharacteristic, complemented
79C43×#388C2211yescharacteristic, complemented
80C43×#388C2211yescharacteristic, complemented
81C43×#388C2211yescharacteristic, complemented
82C43×#388C2211yescharacteristic, complemented
83C43×#388C2211yescharacteristic, complemented
84C43×#388C2211yescharacteristic, complemented
85C43×#388C2211yescharacteristic, complemented
86C43×#388C2211yescharacteristic, complemented
87C43×#388C2211yescharacteristic, complemented
88C43×#388C2211yescharacteristic, complemented
89C43×#388C2211yescharacteristic, complemented
90C43×#388C2211yescharacteristic, complemented
91C43×#388C2211yescharacteristic, complemented
92C43×#388C2211yescharacteristic, complemented
93C43×#388C2211yescharacteristic, complemented
94C43×#388C2211yescharacteristic, complemented
95C43×#388C2211yescharacteristic, complemented
96C43×#387C2211yescharacteristic, complemented
97C43×#387C2211yescharacteristic, complemented
98C43×#387C2211yescharacteristic, complemented
99C43×#387C2211yescharacteristic, complemented
100C43×#387C2211yescharacteristic, complemented
101C43×#387C2211yescharacteristic, complemented
102C43×#387C2211yescharacteristic, complemented
103C43×#387C2211yescharacteristic, complemented
104C43×#387C2211yescharacteristic, complemented
105C43×#387C2211yescharacteristic, complemented
106C43×#386C2211yescharacteristic
107C43×#386C2211yescharacteristic
108C43×#386C2211yescharacteristic
109C43×#386C2211yescharacteristic
110C43×#386C2211yescharacteristic
111C43×#386C2211yescharacteristic
112C43×#386C2211yescharacteristic
113C43×#386C2211yescharacteristic
114C43×#386C2211yescharacteristic
115C43×#386C2211yescharacteristic
116C43×#386C2211yescharacteristic
117C43×#386C2211yescharacteristic
118C43×#386C2211yescharacteristic
119C43×#386C2211yescharacteristic
120C43×#386C2211yescharacteristic, complemented
121C43×#386C2211yescharacteristic, complemented
122C43×#386C2211yescharacteristic, complemented
123C43×#386C2211yescharacteristic, complemented
124C43×#386C2211yescharacteristic, complemented
125C43×#386C2211yescharacteristic, complemented
126C43×#386C2211yescharacteristic, complemented
127C43×#386C2211yescharacteristic, complemented
128C43×#385C2211yescharacteristic
129C43×#385C2211yescharacteristic
130C43×#385C2211yescharacteristic
131C43×#385C2211yescharacteristic
132C43×#385C2211yescharacteristic, complemented
133C43×#385C2211yescharacteristic, complemented
134C43×#385C2211yescharacteristic, complemented
135C43×#385C2211yescharacteristic, complemented
136C43×#383C2211yescharacteristic, complemented
137C43×#381C2211yescharacteristic, complemented
138C43×#381C2211yescharacteristic, complemented
139C43×#381C2211yescharacteristic, complemented
140C43×#380C2211yescharacteristic
141C43×#380C2211yescharacteristic, complemented
142C43×#380C2211yescharacteristic, complemented
143C43×#379C2211yescharacteristic
144C43×#379C2211yescharacteristic
145C4×C4⋊C4×C43C2211yescharacteristic, complemented
146C4×C4⋊C4×C43C2211yescharacteristic, complemented
147C4×C4⋊C4×C43C2211yescharacteristic, complemented
148C4×C4⋊C4×C43C2211yescharacteristic, complemented
149C4×C4⋊C4×C43C2211yescharacteristic, complemented
150C4×C22⋊C4×C43C2211yescharacteristic
151C4×C22⋊C4×C43C2211yescharacteristic
152C4×C22⋊C4×C43C2211yescharacteristic
153C4×C22⋊C4×C43C2211yescharacteristic
154C4×C22⋊C4×C43C2211yescharacteristic
155C4×C22⋊C4×C43C2211yescharacteristic
156C4×C22⋊C4×C43C2211yescharacteristic
157C4×C22⋊C4×C43C2211yescharacteristic
158C4×C22⋊C4×C43C2211yescharacteristic
159C4×C22⋊C4×C43C2211yescharacteristic, complemented
160C4×C22⋊C4×C43C2211yescharacteristic, complemented
161C4×C22⋊C4×C43C2211yescharacteristic, complemented
162C4×C22⋊C4×C43C2211yescharacteristic, complemented
163C4×C22⋊C4×C43C2211yescharacteristic, complemented
164C4×C22⋊C4×C43C2211yescharacteristic, complemented
165C4×C22⋊C4×C43C2211yescharacteristic, complemented
166C4×C22⋊C4×C43C2211yescharacteristic, complemented
167C4×C22⋊C4×C43C2211yescharacteristic, complemented
168C4×C22⋊C4×C43C2211yescharacteristic, complemented
169C4×C22⋊C4×C43C2211yescharacteristic, complemented
170C4×C22⋊C4×C43C2211yescharacteristic, complemented
171C4×C22⋊C4×C43C2211yescharacteristic, complemented
172C4×C22⋊C4×C43C2211yescharacteristic, complemented
173C4×C22⋊C4×C43C2211yescharacteristic, complemented
174C4×C22⋊C4×C43C2211yescharacteristic, complemented
175C4×C22⋊C4×C43C2211yescharacteristic, complemented
176C4×C22⋊C4×C43C2211yescharacteristic, complemented
177C4×C22⋊C4×C43C2211yescharacteristic, complemented
178C4×C22⋊C4×C43C2211yescharacteristic, complemented
179C4×C22⋊C4×C43C2211yescharacteristic, complemented
180C4×C22⋊C4×C43C2211yescharacteristic, complemented
181C43×#376C2211yescharacteristic, complemented
182C43×#376C2211yescharacteristic, complemented
183C2×#95×C43C2211yescharacteristic
184C2×#95×C43C2211yescharacteristic
185C2×#95×C43C2211yescharacteristic, complemented
186C2×#95×C43C2211yescharacteristic, complemented
187C2×#95×C43C2211yescharacteristic, complemented
188C25×C43C2311yescharacteristic
189C25×C43C2311yescharacteristic
190C2×#41×C43—42no—
191C2×#41×C43—42no—
192C2×#41×C43C2×C418yescomplemented
193C22×Q8×C43C2311yescharacteristic
194C22×D4×C43—42no—
195C22×D4×C43—42no—
196C22×D4×C43C2×C418yescomplemented
197C22×D4×C43C2311yescharacteristic
198C22×D4×C43C2311yescharacteristic
199C22×D4×C43C2311yescharacteristic
200C22×D4×C43C2311yescharacteristic
201C22×D4×C43C2311yescharacteristic
202C22×D4×C43C2311yescharacteristic
203C22×D4×C43C2311yescharacteristic
204C22×D4×C43C2311yescharacteristic
205C22×D4×C43C2311yescharacteristic
206C23×C4×C43—24no—
207C23×C4×C43—42no—
208C23×C4×C43—42no—
209C23×C4×C43C2311yescharacteristic
210C23×C4×C43C2311yescharacteristic
211C23×C4×C43C2311yescharacteristic
212C23×C4×C43C2311yescharacteristic
213C23×C4×C43C2311yescharacteristic
214C23×C4×C43C2311yescharacteristic
215C23×C4×C43C2311yescharacteristic
216C23×C4×C43C2311yescharacteristic
217C23×C4×C43C2311yescharacteristic
218C23×C4×C43C2311yescharacteristic
219C23×C4×C43C2311yescharacteristic
220C23×C4×C43C2311yescharacteristic
221C23×C4×C43C2311yescharacteristic
222C23×C4×C43C2311yescharacteristic
223C23×C4×C43C2311yescharacteristic
224C23×C4×C43C2311yescharacteristic
225C23×C4×C43C2311yescharacteristic
226C23×C4×C43C2311yescharacteristic
227C23×C4×C43C2311yescharacteristic
228C23×C4×C43C2311yescharacteristic
229#124×C43C2×C418yescomplemented
230#123×C43C2×C418yescomplemented
231#123×C43C2×C418yescomplemented
232C22⋊Q8×C43C2×C418yescomplemented
233#121×C43C2×C418yescomplemented
234#121×C43C2×C418yescomplemented
235#121×C43C2×C418yescomplemented
236#120×C43C2×C418yescomplemented
237#120×C43C2×C418yescomplemented
238C4×D4×C43—24no—
239C4×D4×C43—24no—
240C4×D4×C43—42no—
241C4×D4×C43—42no—
242C4×D4×C43—42no—
243C4×D4×C43—42no—
244C4×D4×C43—42no—
245C4×D4×C43—42no—
246C4×D4×C43C2×C418yescomplemented
247C4×D4×C43C2×C418yescomplemented
248#117×C43—42no—
249#117×C43—42no—
250C2×C4⋊C4×C43C2311yescharacteristic
251C2×C4⋊C4×C43C2311yescharacteristic
252C2×C4⋊C4×C43C2311yescharacteristic
253C2×C4⋊C4×C43C2311yescharacteristic
254C2×C4⋊C4×C43C2311yescharacteristic
255C2×C4⋊C4×C43C2311yescharacteristic
256C2×C4⋊C4×C43C2311yescharacteristic
257C2×C4⋊C4×C43C2311yescharacteristic
258C2×C4⋊C4×C43C2311yescharacteristic
259C2×C4⋊C4×C43C2311yescharacteristic
260C2×C4⋊C4×C43C2311yescharacteristic
261C2×C4⋊C4×C43C2311yescharacteristic
262C2×C4⋊C4×C43C2311yescharacteristic
263C2×C4⋊C4×C43C2311yescharacteristic
264C2×C4⋊C4×C43C2311yescharacteristic
265C2×C4⋊C4×C43C2311yescharacteristic
266C2×C22⋊C4×C43—24no—
267C2×C22⋊C4×C43—24no—
268C2×C22⋊C4×C43—24no—
269C2×C22⋊C4×C43—42no—
270C2×C22⋊C4×C43—42no—
271C2×C22⋊C4×C43C2×C418yescomplemented
272C2×C22⋊C4×C43C2×C418yescomplemented
273C2×C22⋊C4×C43C2311yescharacteristic
274C2×C22⋊C4×C43C2311yescharacteristic
275C2×C22⋊C4×C43C2311yescharacteristic
276C2×C22⋊C4×C43C2311yescharacteristic
277C2×C22⋊C4×C43C2311yescharacteristic
278C2×C22⋊C4×C43C2311yescharacteristic
279C2×C22⋊C4×C43C2311yescharacteristic
280C2×C22⋊C4×C43C2311yescharacteristic
281C2×C22⋊C4×C43C2311yescharacteristic
282C2×C22⋊C4×C43C2311yescharacteristic
283C2×C22⋊C4×C43C2311yescharacteristic
284C2×C22⋊C4×C43C2311yescharacteristic
285C2×C22⋊C4×C43C2311yescharacteristic
286C2×C22⋊C4×C43C2311yescharacteristic
287C2×C22⋊C4×C43C2311yescharacteristic
288C2×C22⋊C4×C43C2311yescharacteristic
289C2×C22⋊C4×C43C2311yescharacteristic
290C2×C22⋊C4×C43C2311yescharacteristic
291C2×C22⋊C4×C43C2311yescharacteristic
292C2×C22⋊C4×C43C2311yescharacteristic
293C2×C22⋊C4×C43C2311yescharacteristic
294C2×C22⋊C4×C43C2311yescharacteristic
295C2×C22⋊C4×C43C2311yescharacteristic
296C2×C22⋊C4×C43C2311yescharacteristic
297C2×C22⋊C4×C43C2311yescharacteristic
298C2×C22⋊C4×C43C2311yescharacteristic
299C2×C22⋊C4×C43C2311yescharacteristic
300C2×C22⋊C4×C43C2311yescharacteristic
301C2×C22⋊C4×C43C2311yescharacteristic
302C2×C22⋊C4×C43C2311yescharacteristic
303C2×C22⋊C4×C43C2311yescharacteristic
304C2×C22⋊C4×C43C2311yescharacteristic
305C2×C22⋊C4×C43C2311yescharacteristic
306C2×C22⋊C4×C43C2311yescharacteristic
307C2×C22⋊C4×C43C2311yescharacteristic
308C2×C22⋊C4×C43C2311yescharacteristic
309C2×C22⋊C4×C43C2311yescharacteristic
310C2×C22⋊C4×C43C2311yescharacteristic
311C2×C22⋊C4×C43C2311yescharacteristic
312C2×C22⋊C4×C43C2311yescharacteristic
313C2×C22⋊C4×C43C2311yescharacteristic
314C2×C22⋊C4×C43C2311yescharacteristic
315C2×C22⋊C4×C43C2311yescharacteristic
316C2×C22⋊C4×C43C2311yescharacteristic
317C2×C22⋊C4×C43C2311yescharacteristic
318C2×C22⋊C4×C43C2311yescharacteristic
319C2×C42×C43—42no—
320C2×C42×C43—42no—
321C2×C42×C43C2311yescharacteristic
322C2×C42×C43C2311yescharacteristic
323C2×C42×C43C2311yescharacteristic
324C2×C42×C43C2311yescharacteristic
325C2×C42×C43C2311yescharacteristic
326C2×C42×C43C2311yescharacteristic
327C2×C42×C43C2311yescharacteristic
328C2×C42×C43C2311yescharacteristic
329C2×C42×C43C2311yescharacteristic
330C2×C42×C43C2311yescharacteristic
331C2×C42×C43C2311yescharacteristic
332C2×C42×C43C2311yescharacteristic
333C2×C42×C43C2311yescharacteristic
334C2×C42×C43C2311yescharacteristic
335C2×C42×C43C2311yescharacteristic
336C2×C42×C43C2311yescharacteristic
337C2×C42×C43C2311yescharacteristic
338C2×C42×C43C2311yescharacteristic
339C2×C42×C43C2311yescharacteristic
340C2×C42×C43C2311yescharacteristic
341C2×C42×C43C2311yescharacteristic
342#95×C43C2311yescharacteristic
343#95×C43C2311yescharacteristic
344#95×C43C2311yescharacteristic
345#95×C43C2311yescharacteristic
346#95×C43C2311yescharacteristic
347#95×C43C2311yescharacteristic
348#95×C43C2311yescharacteristic
349#95×C43C2311yescharacteristic
350#95×C43C2311yescharacteristic
351#95×C43C2311yescharacteristic
352#95×C43C2311yescharacteristic
353#95×C43C2311yescharacteristic
354#95×C43C2311yescharacteristic
355#95×C43C2311yescharacteristic
356#95×C43C2311yescharacteristic
357#95×C43C2311yescharacteristic
358#95×C43C2311yescharacteristic
359#95×C43C2311yescharacteristic
360#95×C43C2311yescharacteristic
361#95×C43C2311yescharacteristic
362#95×C43C2311yescharacteristic
363#95×C43C2311yescharacteristic
364#95×C43C2311yescharacteristic
365#95×C43C2311yescharacteristic
366#95×C43C2311yescharacteristic
367#95×C43C2311yescharacteristic
368#95×C43C2311yescharacteristic
369#95×C43C2311yescharacteristic
370#95×C43C2311yescharacteristic
371#95×C43C2311yescharacteristic
372#95×C43C2311yescharacteristic
373#95×C43C2311yescharacteristic
374#95×C43C2311yescharacteristic
375#95×C43C2311yescharacteristic
376#95×C43C2311yescharacteristic
377#95×C43C2311yescharacteristic
378#95×C43C2311yescharacteristic
379#95×C43C2311yescharacteristic
380#95×C43C2311yescharacteristic
381#95×C43C2311yescharacteristic
382C24×C43—22no—
383C24×C43—22no—
384C24×C43—22no—
385C24×C43—22no—
386C24×C43—22no—
387C24×C43—22no—
388C24×C43—41no—
389C24×C43—41no—
390C24×C43—41no—
391C24×C43—41no—
392C24×C43—41no—
393C24×C43—41no—
394C24×C43C22×C414yes—
395C24×C43C22×C414yes—
396C24×C43C2411yescharacteristic
397C24×C43C2411yescharacteristic
398C24×C43C2411yescharacteristic
399C24×C43C2411yescharacteristic
400C24×C43C2411yescharacteristic
401C24×C43C2411yescharacteristic
402#41×C43—416no—
403C2×Q8×C43—41no—
404C2×Q8×C43—41no—
405C2×Q8×C43C22×C414yescomplemented
406C2×D4×C43—22no—
407C2×D4×C43—22no—
408C2×D4×C43—22no—
409C2×D4×C43—22no—
410C2×D4×C43—22no—
411C2×D4×C43—22no—
412C2×D4×C43—22no—
413C2×D4×C43—22no—
414C2×D4×C43—41no—
415C2×D4×C43—41no—
416C2×D4×C43—41no—
417C2×D4×C43—41no—
418C2×D4×C43—41no—
419C2×D4×C43—41no—
420C2×D4×C43—41no—
421C2×D4×C43—41no—
422C2×D4×C43—41no—
423C2×D4×C43—41no—
424C2×D4×C43—416no—
425C2×D4×C43C22×C414yes—
426C2×D4×C43C22×C414yes—
427C2×D4×C43C22×C414yes—
428C2×D4×C43C22×C414yes—
429C2×D4×C43C22×C414yes—
430C2×D4×C43C22×C414yes—
431C2×D4×C43C22×C414yes—
432C2×D4×C43C22×C414yescomplemented
433C2×D4×C43C22×C414yescomplemented
434C22×C4×C43—22no—
435C22×C4×C43—22no—
436C22×C4×C43—22no—
437C22×C4×C43—22no—
438C22×C4×C43—22no—
439C22×C4×C43—22no—
440C22×C4×C43—22no—
441C22×C4×C43—22no—
442C22×C4×C43—22no—
443C22×C4×C43—22no—
444C22×C4×C43—22no—
445C22×C4×C43—22no—
446C22×C4×C43—22no—
447C22×C4×C43—22no—
448C22×C4×C43—22no—
449C22×C4×C43—22no—
450C22×C4×C43—22no—
451C22×C4×C43—22no—
452C22×C4×C43—22no—
453C22×C4×C43—22no—
454C22×C4×C43—22no—
455C22×C4×C43—22no—
456C22×C4×C43—41no—
457C22×C4×C43—41no—
458C22×C4×C43—41no—
459C22×C4×C43—41no—
460C22×C4×C43—41no—
461C22×C4×C43—41no—
462C22×C4×C43—41no—
463C22×C4×C43—41no—
464C22×C4×C43—41no—
465C22×C4×C43—41no—
466C22×C4×C43—41no—
467C22×C4×C43—41no—
468C22×C4×C43—41no—
469C22×C4×C43—41no—
470C22×C4×C43—41no—
471C22×C4×C43—41no—
472C22×C4×C43—41no—
473C22×C4×C43—41no—
474C22×C4×C43—41no—
475C22×C4×C43—41no—
476C22×C4×C43—41no—
477C22×C4×C43—41no—
478C22×C4×C43—41no—
479C22×C4×C43—41no—
480C22×C4×C43—41no—
481C22×C4×C43—41no—
482C22×C4×C43—41no—
483C22×C4×C43—41no—
484C22×C4×C43—41no—
485C22×C4×C43—41no—
486C22×C4×C43—41no—
487C22×C4×C43—416no—
488C22×C4×C43C22×C414yes—
489C22×C4×C43C22×C414yes—
490C22×C4×C43C22×C414yes—
491C22×C4×C43C22×C414yescomplemented
492C22×C4×C43C22×C414yescomplemented
493C22×C4×C43C22×C414yescomplemented
494C22×C4×C43#4114yescomplemented
495C22×C4×C43C2411yescharacteristic
496C22×C4×C43C2411yescharacteristic
497C22×C4×C43C2411yescharacteristic
498C22×C4×C43C2411yescharacteristic
499C22×C4×C43C2411yescharacteristic
500C22×C4×C43C2411yescharacteristic
501C22×C4×C43C2411yescharacteristic
502C22×C4×C43C2411yescharacteristic
503C22×C4×C43C2411yescharacteristic
504C22×C4×C43C2411yescharacteristic
505C22×C4×C43C2411yescharacteristic
506C22×C4×C43C2411yescharacteristic
507C22×C4×C43C2411yescharacteristic
508C22×C4×C43C2411yescharacteristic
509C22×C4×C43C2411yescharacteristic
510C22×C4×C43C2411yescharacteristic
511C22×C4×C43C2411yescharacteristic
512C22×C4×C43C2411yescharacteristic
513C22×C4×C43C2411yescharacteristic
514C22×C4×C43C2411yescharacteristic
515C22×C4×C43C2411yescharacteristic
516C22×C4×C43C2411yescharacteristic
517C22×C4×C43C2411yescharacteristic
518C22×C4×C43C2411yescharacteristic
519C22×C4×C43C2411yescharacteristic
520C4⋊C4×C43—22no—
521C4⋊C4×C43—22no—
522C4⋊C4×C43—22no—
523C4⋊C4×C43—41no—
524C4⋊C4×C43—41no—
525C4⋊C4×C43—41no—
526C4⋊C4×C43—41no—
527C4⋊C4×C43—41no—
528C4⋊C4×C43—41no—
529C4⋊C4×C43—41no—
530C4⋊C4×C43—41no—
531C4⋊C4×C43—41no—
532C4⋊C4×C43C22×C414yescomplemented
533C4⋊C4×C43C22×C414yescomplemented
534C4⋊C4×C43C22×C414yescomplemented
535C4⋊C4×C43C22×C414yescomplemented
536C22⋊C4×C43—22no—
537C22⋊C4×C43—22no—
538C22⋊C4×C43—22no—
539C22⋊C4×C43—22no—
540C22⋊C4×C43—22no—
541C22⋊C4×C43—22no—
542C22⋊C4×C43—22no—
543C22⋊C4×C43—22no—
544C22⋊C4×C43—22no—
545C22⋊C4×C43—22no—
546C22⋊C4×C43—22no—
547C22⋊C4×C43—22no—
548C22⋊C4×C43—22no—
549C22⋊C4×C43—22no—
550C22⋊C4×C43—22no—
551C22⋊C4×C43—22no—
552C22⋊C4×C43—22no—
553C22⋊C4×C43—22no—
554C22⋊C4×C43—22no—
555C22⋊C4×C43—22no—
556C22⋊C4×C43—41no—
557C22⋊C4×C43—41no—
558C22⋊C4×C43—41no—
559C22⋊C4×C43—41no—
560C22⋊C4×C43—41no—
561C22⋊C4×C43—41no—
562C22⋊C4×C43—41no—
563C22⋊C4×C43—41no—
564C22⋊C4×C43—41no—
565C22⋊C4×C43—41no—
566C22⋊C4×C43—41no—
567C22⋊C4×C43—41no—
568C22⋊C4×C43—41no—
569C22⋊C4×C43C22×C414yes—
570C22⋊C4×C43C22×C414yes—
571C22⋊C4×C43C22×C414yes—
572C22⋊C4×C43C22×C414yes—
573C22⋊C4×C43C22×C414yes—
574C22⋊C4×C43C22×C414yes—
575C22⋊C4×C43C22×C414yes—
576C22⋊C4×C43C22×C414yescomplemented
577C22⋊C4×C43C22×C414yescomplemented
578C22⋊C4×C43C22×C414yescomplemented
579C22⋊C4×C43C22×C414yescomplemented
580C22⋊C4×C43C22×C414yescomplemented
581C22⋊C4×C43#4114yescomplemented
582C42×C43—22no—
583C42×C43—22no—
584C42×C43—22no—
585C42×C43—22no—
586C42×C43—41no—
587C42×C43—41no—
588C42×C43—41no—
589C42×C43—41no—
590C42×C43—41no—
591C42×C43—41no—
592C42×C43—41no—
593C42×C43—41no—
594C42×C43—41no—
595C42×C43—41no—
596C42×C43—41no—
597C42×C43—41no—
598C42×C43—41no—
599C42×C43—41no—
600C42×C43—41no—
601C42×C43—41no—
602C42×C43C22×C414yescomplemented
603C23×C43—21no—
604C23×C43—21no—
605C23×C43—21no—
606C23×C43—21no—
607C23×C43—21no—
608C23×C43—21no—
609C23×C43—21no—
610C23×C43—21no—
611C23×C43—28no—
612C23×C43—28no—
613C23×C43—21no—
614C23×C43—21no—
615C23×C43—21no—
616C23×C43—21no—
617C23×C43—21no—
618C23×C43—21no—
619C23×C43—21no—
620C23×C43—21no—
621C23×C43—21no—
622C23×C43—21no—
623C23×C43—21no—
624C23×C43—21no—
625C23×C43—21no—
626C23×C43—21no—
627C23×C43—21no—
628C23×C43—21no—
629C23×C43—21no—
630C23×C43—21no—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43—21no—
636C23×C43—21no—
637C23×C43—28no—
638C23×C43—44no—
639C23×C43—44no—
640C23×C43—44no—
641C23×C43—44no—
642C23×C43—44no—
643C23×C43—44no—
644C23×C43—44no—
645C23×C43—82no—
646C23×C43—82no—
647C23×C43—82no—
648C23×C43—82no—
649C23×C43C23×C412yes—
650C23×C43C23×C412yes—
651C23×C43C23×C412yes—
652C23×C43C23×C412yes—
653C23×C43C23×C412yes—
654C23×C43C23×C412yes—
655C23×C43C2×#4112yes—
656C23×C43C2×#4112yes—
657C23×C43H(5,𝔽2)12yes—
658C23×C43H(5,𝔽2)12yes—
659C23×C43C2511yescharacteristic
660Q8×C43—44no—
661D4×C43—28no—
662D4×C43—28no—
663D4×C43—28no—
664D4×C43—28no—
665D4×C43—44no—
666D4×C43—44no—
667D4×C43—44no—
668D4×C43—44no—
669D4×C43—44no—
670C2×C4×C43—28no—
671C2×C4×C43—28no—
672C2×C4×C43—21no—
673C2×C4×C43—21no—
674C2×C4×C43—21no—
675C2×C4×C43—21no—
676C2×C4×C43—21no—
677C2×C4×C43—21no—
678C2×C4×C43—21no—
679C2×C4×C43—21no—
680C2×C4×C43—21no—
681C2×C4×C43—21no—
682C2×C4×C43—21no—
683C2×C4×C43—21no—
684C2×C4×C43—21no—
685C2×C4×C43—21no—
686C2×C4×C43—21no—
687C2×C4×C43—21no—
688C2×C4×C43—21no—
689C2×C4×C43—21no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—21no—
724C2×C4×C43—21no—
725C2×C4×C43—21no—
726C2×C4×C43—21no—
727C2×C4×C43—21no—
728C2×C4×C43—21no—
729C2×C4×C43—21no—
730C2×C4×C43—21no—
731C2×C4×C43—21no—
732C2×C4×C43—21no—
733C2×C4×C43—44no—
734C2×C4×C43—44no—
735C2×C4×C43—44no—
736C2×C4×C43—44no—
737C2×C4×C43—44no—
738C2×C4×C43—44no—
739C2×C4×C43—44no—
740C2×C4×C43—44no—
741C2×C4×C43—44no—
742C2×C4×C43—44no—
743C2×C4×C43—44no—
744C2×C4×C43—44no—
745C2×C4×C43—82no—
746C2×C4×C43—82no—
747C2×C4×C43—82no—
748C2×C4×C43—82no—
749C2×C4×C43—82no—
750C2×C4×C43—82no—
751C2×C4×C43C23×C412yes—
752C2×C4×C43C23×C412yes—
753C2×C4×C43C23×C412yes—
754C2×C4×C43C23×C412yes—
755C2×C4×C43C23×C412yes—
756C2×C4×C43C23×C412yes—
757C2×C4×C43C23×C412yes—
758C2×C4×C43C23×C412yes—
759C2×C4×C43C23×C412yes—
760C2×C4×C43C2×#4112yes—
761C2×C4×C43C2×#4112yes—
762C2×C4×C43C2×#4112yes—
763C2×C4×C43C2×#4112yes—
764C2×C4×C43H(5,𝔽2)12yes—
765#34302C4311yesmaximal, characteristic, direct product factor, Sylow
766C22×C43—22no—
767C22×C43—22no—
768C22×C43—22no—
769C22×C43—22no—
770C22×C43—22no—
771C22×C43—22no—
772C22×C43—22no—
773C22×C43—22no—
774C22×C43—22no—
775C22×C43—22no—
776C22×C43—22no—
777C22×C43—22no—
778C22×C43—22no—
779C22×C43—22no—
780C22×C43—22no—
781C22×C43—22no—
782C22×C43—22no—
783C22×C43—22no—
784C22×C43—22no—
785C22×C43—22no—
786C22×C43—22no—
787C22×C43—22no—
788C22×C43—22no—
789C22×C43—22no—
790C22×C43—416no—
791C22×C43—41no—
792C22×C43—41no—
793C22×C43—41no—
794C22×C43—41no—
795C22×C43—41no—
796C22×C43—41no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—88no—
808C22×C43C4×#4114yes—
809C22×C43#51814yes—
810C22×C43C24×C411yescharacteristic
811C22×C43C22×#4111yescharacteristic
812C22×C43C22×#4111yescharacteristic
813C22×C43C2×H(5,𝔽2)11yescharacteristic
814C22×C43C2×H(5,𝔽2)11yescharacteristic
815C22×C43C2×H(5,𝔽2)11yescharacteristic
816C22×C43#58511yescharacteristic
817C4×C43—22no—
818C4×C43—22no—
819C4×C43—22no—
820C4×C43—22no—
821C4×C43—22no—
822C4×C43—22no—
823C4×C43—22no—
824C4×C43—22no—
825C4×C43—22no—
826C4×C43—22no—
827C4×C43—22no—
828C4×C43—22no—
829C4×C43—22no—
830C4×C43—22no—
831C4×C43—41no—
832C4×C43—41no—
833C4×C43—41no—
834C4×C43—41no—
835C4×C43—41no—
836C4×C43—41no—
837C4×C43—41no—
838C4×C43—41no—
839C4×C43—41no—
840C4×C43—41no—
841C4×C43—41no—
842C2×#546C2×C4311yescharacteristic
843#2374C2×C4311yescharacteristic, complemented
844#2372C2×C4311yescharacteristic, complemented
845#2368C2×C4311yescharacteristic, complemented
846#2364C2×C4311yescharacteristic, complemented
847#2364C2×C4311yescharacteristic, complemented
848#2363C2×C4311yescharacteristic, complemented
849#2359C2×C4311yescharacteristic, complemented
850#2358C2×C4311yescharacteristic, complemented
851#2358C2×C4311yescharacteristic, complemented
852#2353C2×C4311yescharacteristic, complemented
853#2353C2×C4311yescharacteristic, complemented
854#2342C2×C4311yescharacteristic, complemented
855#2342C2×C4311yescharacteristic, complemented
856#2339C2×C4311yescharacteristic, complemented
857D4×C22⋊C4C2×C4311yescharacteristic, complemented
858#2337C2×C4311yescharacteristic, complemented
859#2335C2×C4311yescharacteristic, complemented
860#2333C2×C4311yescharacteristic, complemented
861#2333C2×C4311yescharacteristic, complemented
862#2329C2×C4311yescharacteristic, complemented
863#2321C2×C4311yescharacteristic, complemented
864C4×#123C2×C4311yescharacteristic, complemented
865C4×#121C2×C4311yescharacteristic, complemented
866C4×#120C2×C4311yescharacteristic, complemented
867#2297C2×C4311yescharacteristic, complemented
868#2290C2×C4311yescharacteristic, complemented
869C2×#386C2×C4311yescharacteristic, complemented
870#2275C2×C4311yescharacteristic, complemented
871#2273C2×C4311yescharacteristic, complemented
872C2×C4×C22⋊C4C2×C4311yescharacteristic, complemented
873C2×C43—24no—
874C2×C43—24no—
875C2×C43—42no—
876C2×C43—42no—
877C2×C43—42no—
878C2×C43—42no—
879C2×C43C2×C4×#4111yescharacteristic
880C2×C43C2×#51811yescharacteristic
881C2×C43C4×H(5,𝔽2)11yescharacteristic
882C2×C43#349011yescharacteristic
883C2×C43#349411yescharacteristic
884C2×C43#351311yescharacteristic
885C2×C43#351911yescharacteristic
886C22×#41C22×C4311yescharacteristic
887C23×D4C22×C4311yescharacteristic
888C24×C4C22×C4311yescharacteristic
889#546C4×C43116yescomplemented
890C2×#124C22×C4311yescharacteristic
891C2×#123C22×C4311yescharacteristic
892C2×#123C22×C4311yescharacteristic
893C2×C22⋊Q8C22×C4311yescharacteristic
894C2×#121C22×C4311yescharacteristic
895C2×#121C22×C4311yescharacteristic
896C2×#121C22×C4311yescharacteristic
897C2×#120C22×C4311yescharacteristic
898C2×#120C22×C4311yescharacteristic
899C2×C4×D4C22×C4311yescharacteristic
900C2×C4×D4C22×C4311yescharacteristic
901C2×C4×D4C22×C4311yescharacteristic
902C2×C4×D4C22×C4311yescharacteristic
903C2×C4×D4C22×C4311yescharacteristic
904C2×C4×D4C22×C4311yescharacteristic
905C2×C4×D4C22×C4311yescharacteristic, complemented
906C2×C4×D4C22×C4311yescharacteristic, complemented
907C2×C4×D4C22×C4311yescharacteristic, complemented
908C2×C4×D4C22×C4311yescharacteristic, complemented
909C2×#117C22×C4311yescharacteristic, complemented
910C2×#117C22×C4311yescharacteristic, complemented
911C22×C22⋊C4C22×C4311yescharacteristic
912C22×C22⋊C4C22×C4311yescharacteristic
913C22×C22⋊C4C22×C4311yescharacteristic
914C22×C22⋊C4C22×C4311yescharacteristic
915C22×C22⋊C4C22×C4311yescharacteristic
916C22×C22⋊C4C22×C4311yescharacteristic
917C22×C22⋊C4C22×C4311yescharacteristic
918C22×C42C22×C4311yescharacteristic, complemented
919C22×C42C22×C4311yescharacteristic, complemented
920#391C22×C4311yescharacteristic, complemented
921#391C22×C4311yescharacteristic, complemented
922#391C22×C4311yescharacteristic, complemented
923#391C22×C4311yescharacteristic, complemented
924#390C22×C4311yescharacteristic
925#390C22×C4311yescharacteristic
926#390C22×C4311yescharacteristic, complemented
927#390C22×C4311yescharacteristic, complemented
928#390C22×C4311yescharacteristic, complemented
929#390C22×C4311yescharacteristic, complemented
930#389C22×C4311yescharacteristic, complemented
931#389C22×C4311yescharacteristic, complemented
932#388C22×C4311yescharacteristic, complemented
933#388C22×C4311yescharacteristic, complemented
934#388C22×C4311yescharacteristic, complemented
935#388C22×C4311yescharacteristic, complemented
936#388C22×C4311yescharacteristic, complemented
937#388C22×C4311yescharacteristic, complemented
938#388C22×C4311yescharacteristic, complemented
939#388C22×C4311yescharacteristic, complemented
940#388C22×C4311yescharacteristic, complemented
941#388C22×C4311yescharacteristic, complemented
942#388C22×C4311yescharacteristic, complemented
943#388C22×C4311yescharacteristic, complemented
944#388C22×C4311yescharacteristic, complemented
945#388C22×C4311yescharacteristic, complemented
946#388C22×C4311yescharacteristic, complemented
947#388C22×C4311yescharacteristic, complemented
948#388C22×C4311yescharacteristic, complemented
949#388C22×C4311yescharacteristic, complemented
950#387C22×C4311yescharacteristic, complemented
951#387C22×C4311yescharacteristic, complemented
952#387C22×C4311yescharacteristic, complemented
953#387C22×C4311yescharacteristic, complemented
954#387C22×C4311yescharacteristic, complemented
955#387C22×C4311yescharacteristic, complemented
956#387C22×C4311yescharacteristic, complemented
957#387C22×C4311yescharacteristic, complemented
958#387C22×C4311yescharacteristic, complemented
959#387C22×C4311yescharacteristic, complemented
960#386C22×C4311yescharacteristic
961#386C22×C4311yescharacteristic
962#386C22×C4311yescharacteristic
963#386C22×C4311yescharacteristic
964#386C22×C4311yescharacteristic
965#386C22×C4311yescharacteristic
966#386C22×C4311yescharacteristic
967#386C22×C4311yescharacteristic
968#386C22×C4311yescharacteristic
969#386C22×C4311yescharacteristic
970#386C22×C4311yescharacteristic
971#386C22×C4311yescharacteristic
972#386C22×C4311yescharacteristic
973#386C22×C4311yescharacteristic
974#386C22×C4311yescharacteristic, complemented
975#386C22×C4311yescharacteristic, complemented
976#386C22×C4311yescharacteristic, complemented
977#386C22×C4311yescharacteristic, complemented
978#386C22×C4311yescharacteristic, complemented
979#386C22×C4311yescharacteristic, complemented
980#386C22×C4311yescharacteristic, complemented
981#386C22×C4311yescharacteristic, complemented
982#385C22×C4311yescharacteristic
983#385C22×C4311yescharacteristic
984#385C22×C4311yescharacteristic
985#385C22×C4311yescharacteristic
986#385C22×C4311yescharacteristic, complemented
987#385C22×C4311yescharacteristic, complemented
988#385C22×C4311yescharacteristic, complemented
989#385C22×C4311yescharacteristic, complemented
990#383C22×C4311yescharacteristic, complemented
991#381C22×C4311yescharacteristic, complemented
992#381C22×C4311yescharacteristic, complemented
993#381C22×C4311yescharacteristic, complemented
994#380C22×C4311yescharacteristic
995#380C22×C4311yescharacteristic, complemented
996#380C22×C4311yescharacteristic, complemented
997#379C22×C4311yescharacteristic
998#379C22×C4311yescharacteristic
999C4×C4⋊C4C22×C4311yescharacteristic, complemented
1000C4×C4⋊C4C22×C4311yescharacteristic, complemented
1001C4×C4⋊C4C22×C4311yescharacteristic, complemented
1002C4×C4⋊C4C22×C4311yescharacteristic, complemented
1003C4×C4⋊C4C22×C4311yescharacteristic, complemented
1004C4×C22⋊C4C22×C4311yescharacteristic
1005C4×C22⋊C4C22×C4311yescharacteristic
1006C4×C22⋊C4C22×C4311yescharacteristic
1007C4×C22⋊C4C22×C4311yescharacteristic
1008C4×C22⋊C4C22×C4311yescharacteristic
1009C4×C22⋊C4C22×C4311yescharacteristic
1010C4×C22⋊C4C22×C4311yescharacteristic
1011C4×C22⋊C4C22×C4311yescharacteristic
1012C4×C22⋊C4C22×C4311yescharacteristic
1013C4×C22⋊C4C22×C4311yescharacteristic, complemented
1014C4×C22⋊C4C22×C4311yescharacteristic, complemented
1015C4×C22⋊C4C22×C4311yescharacteristic, complemented
1016C4×C22⋊C4C22×C4311yescharacteristic, complemented
1017C4×C22⋊C4C22×C4311yescharacteristic, complemented
1018C4×C22⋊C4C22×C4311yescharacteristic, complemented
1019C4×C22⋊C4C22×C4311yescharacteristic, complemented
1020C4×C22⋊C4C22×C4311yescharacteristic, complemented
1021C4×C22⋊C4C22×C4311yescharacteristic, complemented
1022C4×C22⋊C4C22×C4311yescharacteristic, complemented
1023C4×C22⋊C4C22×C4311yescharacteristic, complemented
1024C4×C22⋊C4C22×C4311yescharacteristic, complemented
1025C4×C22⋊C4C22×C4311yescharacteristic, complemented
1026C4×C22⋊C4C22×C4311yescharacteristic, complemented
1027C4×C22⋊C4C22×C4311yescharacteristic, complemented
1028C4×C22⋊C4C22×C4311yescharacteristic, complemented
1029C4×C22⋊C4C22×C4311yescharacteristic, complemented
1030C4×C22⋊C4C22×C4311yescharacteristic, complemented
1031C4×C22⋊C4C22×C4311yescharacteristic, complemented
1032C4×C22⋊C4C22×C4311yescharacteristic, complemented
1033C4×C22⋊C4C22×C4311yescharacteristic, complemented
1034C4×C22⋊C4C22×C4311yescharacteristic, complemented
1035#376C22×C4311yescharacteristic, complemented
1036#376C22×C4311yescharacteristic, complemented
1037C2×#95C22×C4311yescharacteristic
1038C2×#95C22×C4311yescharacteristic
1039C2×#95C22×C4311yescharacteristic, complemented
1040C2×#95C22×C4311yescharacteristic, complemented
1041C2×#95C22×C4311yescharacteristic, complemented
1042C43#3430211yescharacteristic, direct product factor, Sylow
1043C25C23×C4311yescharacteristic
1044C25C23×C4311yescharacteristic
1045C2×#41—42no—
1046C2×#41—42no—
1047C2×#41C2×C4×C4318yescomplemented
1048C22×Q8C23×C4311yescharacteristic
1049C22×D4—42no—
1050C22×D4—42no—
1051C22×D4C2×C4×C4318yescomplemented
1052C22×D4C23×C4311yescharacteristic
1053C22×D4C23×C4311yescharacteristic
1054C22×D4C23×C4311yescharacteristic
1055C22×D4C23×C4311yescharacteristic
1056C22×D4C23×C4311yescharacteristic
1057C22×D4C23×C4311yescharacteristic
1058C22×D4C23×C4311yescharacteristic
1059C22×D4C23×C4311yescharacteristic
1060C22×D4C23×C4311yescharacteristic
1061C23×C4—24no—
1062C23×C4—42no—
1063C23×C4—42no—
1064C23×C4C23×C4311yescharacteristic
1065C23×C4C23×C4311yescharacteristic
1066C23×C4C23×C4311yescharacteristic
1067C23×C4C23×C4311yescharacteristic
1068C23×C4C23×C4311yescharacteristic
1069C23×C4C23×C4311yescharacteristic
1070C23×C4C23×C4311yescharacteristic
1071C23×C4C23×C4311yescharacteristic
1072C23×C4C23×C4311yescharacteristic
1073C23×C4C23×C4311yescharacteristic
1074C23×C4C23×C4311yescharacteristic
1075C23×C4C23×C4311yescharacteristic
1076C23×C4C23×C4311yescharacteristic
1077C23×C4C23×C4311yescharacteristic
1078C23×C4C23×C4311yescharacteristic
1079C23×C4C23×C4311yescharacteristic
1080C23×C4C23×C4311yescharacteristic
1081C23×C4C23×C4311yescharacteristic
1082C23×C4C23×C4311yescharacteristic
1083C23×C4C23×C4311yescharacteristic
1084#124C2×C4×C4318yescomplemented
1085#123C2×C4×C4318yescomplemented
1086#123C2×C4×C4318yescomplemented
1087C22⋊Q8C2×C4×C4318yescomplemented
1088#121C2×C4×C4318yescomplemented
1089#121C2×C4×C4318yescomplemented
1090#121C2×C4×C4318yescomplemented
1091#120C2×C4×C4318yescomplemented
1092#120C2×C4×C4318yescomplemented
1093C4×D4—24no—
1094C4×D4—24no—
1095C4×D4—42no—
1096C4×D4—42no—
1097C4×D4—42no—
1098C4×D4—42no—
1099C4×D4—42no—
1100C4×D4—42no—
1101C4×D4C2×C4×C4318yescomplemented
1102C4×D4C2×C4×C4318yescomplemented
1103#117—42no—
1104#117—42no—
1105C2×C4⋊C4C23×C4311yescharacteristic
1106C2×C4⋊C4C23×C4311yescharacteristic
1107C2×C4⋊C4C23×C4311yescharacteristic
1108C2×C4⋊C4C23×C4311yescharacteristic
1109C2×C4⋊C4C23×C4311yescharacteristic
1110C2×C4⋊C4C23×C4311yescharacteristic
1111C2×C4⋊C4C23×C4311yescharacteristic
1112C2×C4⋊C4C23×C4311yescharacteristic
1113C2×C4⋊C4C23×C4311yescharacteristic
1114C2×C4⋊C4C23×C4311yescharacteristic
1115C2×C4⋊C4C23×C4311yescharacteristic
1116C2×C4⋊C4C23×C4311yescharacteristic
1117C2×C4⋊C4C23×C4311yescharacteristic
1118C2×C4⋊C4C23×C4311yescharacteristic
1119C2×C4⋊C4C23×C4311yescharacteristic
1120C2×C4⋊C4C23×C4311yescharacteristic
1121C2×C22⋊C4—24no—
1122C2×C22⋊C4—24no—
1123C2×C22⋊C4—24no—
1124C2×C22⋊C4—42no—
1125C2×C22⋊C4—42no—
1126C2×C22⋊C4C2×C4×C4318yescomplemented
1127C2×C22⋊C4C2×C4×C4318yescomplemented
1128C2×C22⋊C4C23×C4311yescharacteristic
1129C2×C22⋊C4C23×C4311yescharacteristic
1130C2×C22⋊C4C23×C4311yescharacteristic
1131C2×C22⋊C4C23×C4311yescharacteristic
1132C2×C22⋊C4C23×C4311yescharacteristic
1133C2×C22⋊C4C23×C4311yescharacteristic
1134C2×C22⋊C4C23×C4311yescharacteristic
1135C2×C22⋊C4C23×C4311yescharacteristic
1136C2×C22⋊C4C23×C4311yescharacteristic
1137C2×C22⋊C4C23×C4311yescharacteristic
1138C2×C22⋊C4C23×C4311yescharacteristic
1139C2×C22⋊C4C23×C4311yescharacteristic
1140C2×C22⋊C4C23×C4311yescharacteristic
1141C2×C22⋊C4C23×C4311yescharacteristic
1142C2×C22⋊C4C23×C4311yescharacteristic
1143C2×C22⋊C4C23×C4311yescharacteristic
1144C2×C22⋊C4C23×C4311yescharacteristic
1145C2×C22⋊C4C23×C4311yescharacteristic
1146C2×C22⋊C4C23×C4311yescharacteristic
1147C2×C22⋊C4C23×C4311yescharacteristic
1148C2×C22⋊C4C23×C4311yescharacteristic
1149C2×C22⋊C4C23×C4311yescharacteristic
1150C2×C22⋊C4C23×C4311yescharacteristic
1151C2×C22⋊C4C23×C4311yescharacteristic
1152C2×C22⋊C4C23×C4311yescharacteristic
1153C2×C22⋊C4C23×C4311yescharacteristic
1154C2×C22⋊C4C23×C4311yescharacteristic
1155C2×C22⋊C4C23×C4311yescharacteristic
1156C2×C22⋊C4C23×C4311yescharacteristic
1157C2×C22⋊C4C23×C4311yescharacteristic
1158C2×C22⋊C4C23×C4311yescharacteristic
1159C2×C22⋊C4C23×C4311yescharacteristic
1160C2×C22⋊C4C23×C4311yescharacteristic
1161C2×C22⋊C4C23×C4311yescharacteristic
1162C2×C22⋊C4C23×C4311yescharacteristic
1163C2×C22⋊C4C23×C4311yescharacteristic
1164C2×C22⋊C4C23×C4311yescharacteristic
1165C2×C22⋊C4C23×C4311yescharacteristic
1166C2×C22⋊C4C23×C4311yescharacteristic
1167C2×C22⋊C4C23×C4311yescharacteristic
1168C2×C22⋊C4C23×C4311yescharacteristic
1169C2×C22⋊C4C23×C4311yescharacteristic
1170C2×C22⋊C4C23×C4311yescharacteristic
1171C2×C22⋊C4C23×C4311yescharacteristic
1172C2×C22⋊C4C23×C4311yescharacteristic
1173C2×C22⋊C4C23×C4311yescharacteristic
1174C2×C42—42no—
1175C2×C42—42no—
1176C2×C42C23×C4311yescharacteristic
1177C2×C42C23×C4311yescharacteristic
1178C2×C42C23×C4311yescharacteristic
1179C2×C42C23×C4311yescharacteristic
1180C2×C42C23×C4311yescharacteristic
1181C2×C42C23×C4311yescharacteristic
1182C2×C42C23×C4311yescharacteristic
1183C2×C42C23×C4311yescharacteristic
1184C2×C42C23×C4311yescharacteristic
1185C2×C42C23×C4311yescharacteristic
1186C2×C42C23×C4311yescharacteristic
1187C2×C42C23×C4311yescharacteristic
1188C2×C42C23×C4311yescharacteristic
1189C2×C42C23×C4311yescharacteristic
1190C2×C42C23×C4311yescharacteristic
1191C2×C42C23×C4311yescharacteristic
1192C2×C42C23×C4311yescharacteristic
1193C2×C42C23×C4311yescharacteristic
1194C2×C42C23×C4311yescharacteristic
1195C2×C42C23×C4311yescharacteristic
1196C2×C42C23×C4311yescharacteristic
1197#95C23×C4311yescharacteristic
1198#95C23×C4311yescharacteristic
1199#95C23×C4311yescharacteristic
1200#95C23×C4311yescharacteristic
1201#95C23×C4311yescharacteristic
1202#95C23×C4311yescharacteristic
1203#95C23×C4311yescharacteristic
1204#95C23×C4311yescharacteristic
1205#95C23×C4311yescharacteristic
1206#95C23×C4311yescharacteristic
1207#95C23×C4311yescharacteristic
1208#95C23×C4311yescharacteristic
1209#95C23×C4311yescharacteristic
1210#95C23×C4311yescharacteristic
1211#95C23×C4311yescharacteristic
1212#95C23×C4311yescharacteristic
1213#95C23×C4311yescharacteristic
1214#95C23×C4311yescharacteristic
1215#95C23×C4311yescharacteristic
1216#95C23×C4311yescharacteristic
1217#95C23×C4311yescharacteristic
1218#95C23×C4311yescharacteristic
1219#95C23×C4311yescharacteristic
1220#95C23×C4311yescharacteristic
1221#95C23×C4311yescharacteristic
1222#95C23×C4311yescharacteristic
1223#95C23×C4311yescharacteristic
1224#95C23×C4311yescharacteristic
1225#95C23×C4311yescharacteristic
1226#95C23×C4311yescharacteristic
1227#95C23×C4311yescharacteristic
1228#95C23×C4311yescharacteristic
1229#95C23×C4311yescharacteristic
1230#95C23×C4311yescharacteristic
1231#95C23×C4311yescharacteristic
1232#95C23×C4311yescharacteristic
1233#95C23×C4311yescharacteristic
1234#95C23×C4311yescharacteristic
1235#95C23×C4311yescharacteristic
1236#95C23×C4311yescharacteristic
1237C24—22no—
1238C24—22no—
1239C24—22no—
1240C24—22no—
1241C24—22no—
1242C24—22no—
1243C24—41no—
1244C24—41no—
1245C24—41no—
1246C24—41no—
1247C24—41no—
1248C24—41no—
1249C24C22×C4×C4314yes—
1250C24C22×C4×C4314yes—
1251C24C24×C4311yescharacteristic
1252C24C24×C4311yescharacteristic
1253C24C24×C4311yescharacteristic
1254C24C24×C4311yescharacteristic
1255C24C24×C4311yescharacteristic
1256C24C24×C4311yescharacteristic
1257#41—416no—
1258C2×Q8—41no—
1259C2×Q8—41no—
1260C2×Q8C22×C4×C4314yescomplemented
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—416no—
1280C2×D4C22×C4×C4314yes—
1281C2×D4C22×C4×C4314yes—
1282C2×D4C22×C4×C4314yes—
1283C2×D4C22×C4×C4314yes—
1284C2×D4C22×C4×C4314yes—
1285C2×D4C22×C4×C4314yes—
1286C2×D4C22×C4×C4314yes—
1287C2×D4C22×C4×C4314yescomplemented
1288C2×D4C22×C4×C4314yescomplemented
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—41no—
1320C22×C4—41no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—41no—
1324C22×C4—41no—
1325C22×C4—41no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—41no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—416no—
1343C22×C4C22×C4×C4314yes—
1344C22×C4C22×C4×C4314yes—
1345C22×C4C22×C4×C4314yes—
1346C22×C4C22×C4×C4314yescomplemented
1347C22×C4C22×C4×C4314yescomplemented
1348C22×C4C22×C4×C4314yescomplemented
1349C22×C4#41×C4314yescomplemented
1350C22×C4C24×C4311yescharacteristic
1351C22×C4C24×C4311yescharacteristic
1352C22×C4C24×C4311yescharacteristic
1353C22×C4C24×C4311yescharacteristic
1354C22×C4C24×C4311yescharacteristic
1355C22×C4C24×C4311yescharacteristic
1356C22×C4C24×C4311yescharacteristic
1357C22×C4C24×C4311yescharacteristic
1358C22×C4C24×C4311yescharacteristic
1359C22×C4C24×C4311yescharacteristic
1360C22×C4C24×C4311yescharacteristic
1361C22×C4C24×C4311yescharacteristic
1362C22×C4C24×C4311yescharacteristic
1363C22×C4C24×C4311yescharacteristic
1364C22×C4C24×C4311yescharacteristic
1365C22×C4C24×C4311yescharacteristic
1366C22×C4C24×C4311yescharacteristic
1367C22×C4C24×C4311yescharacteristic
1368C22×C4C24×C4311yescharacteristic
1369C22×C4C24×C4311yescharacteristic
1370C22×C4C24×C4311yescharacteristic
1371C22×C4C24×C4311yescharacteristic
1372C22×C4C24×C4311yescharacteristic
1373C22×C4C24×C4311yescharacteristic
1374C22×C4C24×C4311yescharacteristic
1375C4⋊C4—22no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—41no—
1379C4⋊C4—41no—
1380C4⋊C4—41no—
1381C4⋊C4—41no—
1382C4⋊C4—41no—
1383C4⋊C4—41no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—41no—
1387C4⋊C4C22×C4×C4314yescomplemented
1388C4⋊C4C22×C4×C4314yescomplemented
1389C4⋊C4C22×C4×C4314yescomplemented
1390C4⋊C4C22×C4×C4314yescomplemented
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
1398C22⋊C4—22no—
1399C22⋊C4—22no—
1400C22⋊C4—22no—
1401C22⋊C4—22no—
1402C22⋊C4—22no—
1403C22⋊C4—22no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—41no—
1421C22⋊C4—41no—
1422C22⋊C4—41no—
1423C22⋊C4—41no—
1424C22⋊C4C22×C4×C4314yes—
1425C22⋊C4C22×C4×C4314yes—
1426C22⋊C4C22×C4×C4314yes—
1427C22⋊C4C22×C4×C4314yes—
1428C22⋊C4C22×C4×C4314yes—
1429C22⋊C4C22×C4×C4314yes—
1430C22⋊C4C22×C4×C4314yes—
1431C22⋊C4C22×C4×C4314yescomplemented
1432C22⋊C4C22×C4×C4314yescomplemented
1433C22⋊C4C22×C4×C4314yescomplemented
1434C22⋊C4C22×C4×C4314yescomplemented
1435C22⋊C4C22×C4×C4314yescomplemented
1436C22⋊C4#41×C4314yescomplemented
1437C42—22no—
1438C42—22no—
1439C42—22no—
1440C42—22no—
1441C42—41no—
1442C42—41no—
1443C42—41no—
1444C42—41no—
1445C42—41no—
1446C42—41no—
1447C42—41no—
1448C42—41no—
1449C42—41no—
1450C42—41no—
1451C42—41no—
1452C42—41no—
1453C42—41no—
1454C42—41no—
1455C42—41no—
1456C42—41no—
1457C42C22×C4×C4314yescomplemented
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—28no—
1467C23—28no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—21no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—28no—
1493C23—44no—
1494C23—44no—
1495C23—44no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—82no—
1501C23—82no—
1502C23—82no—
1503C23—82no—
1504C23C23×C4×C4312yes—
1505C23C23×C4×C4312yes—
1506C23C23×C4×C4312yes—
1507C23C23×C4×C4312yes—
1508C23C23×C4×C4312yes—
1509C23C23×C4×C4312yes—
1510C23C2×#41×C4312yes—
1511C23C2×#41×C4312yes—
1512C23H(5,𝔽2)×C4312yes—
1513C23H(5,𝔽2)×C4312yes—
1514C23C25×C4311yescharacteristic
1515Q8—44no—
1516D4—28no—
1517D4—28no—
1518D4—28no—
1519D4—28no—
1520D4—44no—
1521D4—44no—
1522D4—44no—
1523D4—44no—
1524D4—44no—
1525C2×C4—28no—
1526C2×C4—28no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—44no—
1589C2×C4—44no—
1590C2×C4—44no—
1591C2×C4—44no—
1592C2×C4—44no—
1593C2×C4—44no—
1594C2×C4—44no—
1595C2×C4—44no—
1596C2×C4—44no—
1597C2×C4—44no—
1598C2×C4—44no—
1599C2×C4—44no—
1600C2×C4—82no—
1601C2×C4—82no—
1602C2×C4—82no—
1603C2×C4—82no—
1604C2×C4—82no—
1605C2×C4—82no—
1606C2×C4C23×C4×C4312yes—
1607C2×C4C23×C4×C4312yes—
1608C2×C4C23×C4×C4312yes—
1609C2×C4C23×C4×C4312yes—
1610C2×C4C23×C4×C4312yes—
1611C2×C4C23×C4×C4312yes—
1612C2×C4C23×C4×C4312yes—
1613C2×C4C23×C4×C4312yes—
1614C2×C4C23×C4×C4312yes—
1615C2×C4C2×#41×C4312yes—
1616C2×C4C2×#41×C4312yes—
1617C2×C4C2×#41×C4312yes—
1618C2×C4C2×#41×C4312yes—
1619C2×C4H(5,𝔽2)×C4312yes—
1620C22—22no—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—22no—
1628C22—22no—
1629C22—22no—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—416no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—41no—
1661C22—88no—
1662C22C4×#41×C4314yes—
1663C22C43×#51814yes—
1664C22C24×C4×C4311yescharacteristic
1665C22C22×#41×C4311yescharacteristic
1666C22C22×#41×C4311yescharacteristic
1667C22C2×H(5,𝔽2)×C4311yescharacteristic
1668C22C2×H(5,𝔽2)×C4311yescharacteristic
1669C22C2×H(5,𝔽2)×C4311yescharacteristic
1670C22C43×#58511yescharacteristic
1671C4—22no—
1672C4—22no—
1673C4—22no—
1674C4—22no—
1675C4—22no—
1676C4—22no—
1677C4—22no—
1678C4—22no—
1679C4—22no—
1680C4—22no—
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C2—24no—
1697C2—24no—
1698C2—42no—
1699C2—42no—
1700C2—42no—
1701C2—42no—
1702C2C2×C4×#41×C4311yescharacteristic
1703C2C2×C43×#51811yescharacteristic
1704C2C4×H(5,𝔽2)×C4311yescharacteristic
1705C2C43×#349011yescharacteristic
1706C2C43×#349411yescharacteristic
1707C2C43×#351311yescharacteristic
1708C2C43×#351911yescharacteristic
subgroupG/H
center, socleC23×C43C25
commutatorC22C24×C4×C43
Frattini, cosocleC23C25×C43
prime radicalC2×C43×#546C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C43 ◁ G

Complements

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

NH ≅ G/Ntype
2. C43×#2374C2semidirect
3. C43×#2372C2semidirect
4. C43×#2368C2semidirect
5. C43×#2364C2semidirect
6. C43×#2364C2semidirect
7. C43×#2363C2semidirect
8. C43×#2359C2semidirect
9. C43×#2358C2semidirect
10. C43×#2358C2semidirect
11. C43×#2353C2semidirect
12. C43×#2353C2semidirect
13. C43×#2342C2semidirect
14. C43×#2342C2semidirect
15. C43×#2339C2semidirect
16. D4×C22⋊C4×C43C2semidirect
17. C43×#2337C2semidirect
18. C43×#2335C2semidirect
19. C43×#2333C2semidirect
20. C43×#2333C2semidirect
21. C43×#2329C2semidirect
22. C43×#2321C2semidirect
23. C4×#123×C43C2semidirect
24. C4×#121×C43C2semidirect
25. C4×#120×C43C2semidirect
26. C43×#2297C2semidirect
27. C43×#2290C2semidirect
28. C2×C43×#386C2semidirect
29. C43×#2275C2semidirect
30. C43×#2273C2semidirect
31. C2×C4×C22⋊C4×C43C2semidirect
35. C43×#546C4semidirect
51. C2×C4×D4×C43C22semidirect
52. C2×C4×D4×C43C22semidirect
53. C2×C4×D4×C43C22semidirect
54. C2×C4×D4×C43C22semidirect
55. C2×#117×C43C22semidirect
56. C2×#117×C43C22semidirect
64. C22×C42×C43C22semidirect
65. C22×C42×C43C22semidirect
66. C43×#391C22semidirect
67. C43×#391C22semidirect
68. C43×#391C22semidirect
69. C43×#391C22semidirect
72. C43×#390C22semidirect
73. C43×#390C22semidirect
74. C43×#390C22semidirect
75. C43×#390C22semidirect
76. C43×#389C22semidirect
77. C43×#389C22semidirect
78. C43×#388C22semidirect
79. C43×#388C22semidirect
80. C43×#388C22semidirect
81. C43×#388C22semidirect
82. C43×#388C22semidirect
83. C43×#388C22semidirect
84. C43×#388C22semidirect
85. C43×#388C22semidirect
86. C43×#388C22semidirect
87. C43×#388C22semidirect
88. C43×#388C22semidirect
89. C43×#388C22semidirect
90. C43×#388C22semidirect
91. C43×#388C22semidirect
92. C43×#388C22semidirect
93. C43×#388C22semidirect
94. C43×#388C22semidirect
95. C43×#388C22semidirect
96. C43×#387C22semidirect
97. C43×#387C22semidirect
98. C43×#387C22semidirect
99. C43×#387C22semidirect
100. C43×#387C22semidirect
101. C43×#387C22semidirect
102. C43×#387C22semidirect
103. C43×#387C22semidirect
104. C43×#387C22semidirect
105. C43×#387C22semidirect
120. C43×#386C22semidirect
121. C43×#386C22semidirect
122. C43×#386C22semidirect
123. C43×#386C22semidirect
124. C43×#386C22semidirect
125. C43×#386C22semidirect
126. C43×#386C22semidirect
127. C43×#386C22semidirect
132. C43×#385C22semidirect
133. C43×#385C22semidirect
134. C43×#385C22semidirect
135. C43×#385C22semidirect
136. C43×#383C22semidirect
137. C43×#381C22semidirect
138. C43×#381C22semidirect
139. C43×#381C22semidirect
141. C43×#380C22semidirect
142. C43×#380C22semidirect
145. C4×C4⋊C4×C43C22semidirect
146. C4×C4⋊C4×C43C22semidirect
147. C4×C4⋊C4×C43C22semidirect
148. C4×C4⋊C4×C43C22semidirect
149. C4×C4⋊C4×C43C22semidirect
159. C4×C22⋊C4×C43C22semidirect
160. C4×C22⋊C4×C43C22semidirect
161. C4×C22⋊C4×C43C22semidirect
162. C4×C22⋊C4×C43C22semidirect
163. C4×C22⋊C4×C43C22semidirect
164. C4×C22⋊C4×C43C22semidirect
165. C4×C22⋊C4×C43C22semidirect
166. C4×C22⋊C4×C43C22semidirect
167. C4×C22⋊C4×C43C22semidirect
168. C4×C22⋊C4×C43C22semidirect
169. C4×C22⋊C4×C43C22semidirect
170. C4×C22⋊C4×C43C22semidirect
171. C4×C22⋊C4×C43C22semidirect
172. C4×C22⋊C4×C43C22semidirect
173. C4×C22⋊C4×C43C22semidirect
174. C4×C22⋊C4×C43C22semidirect
175. C4×C22⋊C4×C43C22semidirect
176. C4×C22⋊C4×C43C22semidirect
177. C4×C22⋊C4×C43C22semidirect
178. C4×C22⋊C4×C43C22semidirect
179. C4×C22⋊C4×C43C22semidirect
180. C4×C22⋊C4×C43C22semidirect
181. C43×#376C22semidirect
182. C43×#376C22semidirect
185. C2×#95×C43C22semidirect
186. C2×#95×C43C22semidirect
187. C2×#95×C43C22semidirect
192. C2×#41×C43C2×C4semidirect
196. C22×D4×C43C2×C4semidirect
229. #124×C43C2×C4semidirect
230. #123×C43C2×C4semidirect
231. #123×C43C2×C4semidirect
232. C22⋊Q8×C43C2×C4semidirect
233. #121×C43C2×C4semidirect
234. #121×C43C2×C4semidirect
235. #121×C43C2×C4semidirect
236. #120×C43C2×C4semidirect
237. #120×C43C2×C4semidirect
246. C4×D4×C43C2×C4semidirect
247. C4×D4×C43C2×C4semidirect
271. C2×C22⋊C4×C43C2×C4semidirect
272. C2×C22⋊C4×C43C2×C4semidirect
405. C2×Q8×C43C22×C4semidirect
432. C2×D4×C43C22×C4semidirect
433. C2×D4×C43C22×C4semidirect
491. C22×C4×C43C22×C4semidirect
492. C22×C4×C43C22×C4semidirect
493. C22×C4×C43C22×C4semidirect
494. C22×C4×C43#41semidirect
532. C4⋊C4×C43C22×C4semidirect
533. C4⋊C4×C43C22×C4semidirect
534. C4⋊C4×C43C22×C4semidirect
535. C4⋊C4×C43C22×C4semidirect
576. C22⋊C4×C43C22×C4semidirect
577. C22⋊C4×C43C22×C4semidirect
578. C22⋊C4×C43C22×C4semidirect
579. C22⋊C4×C43C22×C4semidirect
580. C22⋊C4×C43C22×C4semidirect
581. C22⋊C4×C43#41semidirect
602. C42×C43C22×C4semidirect
765. #34302C43direct (N × H)
843. #2374C2×C43semidirect
844. #2372C2×C43semidirect
845. #2368C2×C43semidirect
846. #2364C2×C43semidirect
847. #2364C2×C43semidirect
848. #2363C2×C43semidirect
849. #2359C2×C43semidirect
850. #2358C2×C43semidirect
851. #2358C2×C43semidirect
852. #2353C2×C43semidirect
853. #2353C2×C43semidirect
854. #2342C2×C43semidirect
855. #2342C2×C43semidirect
856. #2339C2×C43semidirect
857. D4×C22⋊C4C2×C43semidirect
858. #2337C2×C43semidirect
859. #2335C2×C43semidirect
860. #2333C2×C43semidirect
861. #2333C2×C43semidirect
862. #2329C2×C43semidirect
863. #2321C2×C43semidirect
864. C4×#123C2×C43semidirect
865. C4×#121C2×C43semidirect
866. C4×#120C2×C43semidirect
867. #2297C2×C43semidirect
868. #2290C2×C43semidirect
869. C2×#386C2×C43semidirect
870. #2275C2×C43semidirect
871. #2273C2×C43semidirect
872. C2×C4×C22⋊C4C2×C43semidirect
889. #546C4×C43semidirect
905. C2×C4×D4C22×C43semidirect
906. C2×C4×D4C22×C43semidirect
907. C2×C4×D4C22×C43semidirect
908. C2×C4×D4C22×C43semidirect
909. C2×#117C22×C43semidirect
910. C2×#117C22×C43semidirect
918. C22×C42C22×C43semidirect
919. C22×C42C22×C43semidirect
920. #391C22×C43semidirect
921. #391C22×C43semidirect
922. #391C22×C43semidirect
923. #391C22×C43semidirect
926. #390C22×C43semidirect
927. #390C22×C43semidirect
928. #390C22×C43semidirect
929. #390C22×C43semidirect
930. #389C22×C43semidirect
931. #389C22×C43semidirect
932. #388C22×C43semidirect
933. #388C22×C43semidirect
934. #388C22×C43semidirect
935. #388C22×C43semidirect
936. #388C22×C43semidirect
937. #388C22×C43semidirect
938. #388C22×C43semidirect
939. #388C22×C43semidirect
940. #388C22×C43semidirect
941. #388C22×C43semidirect
942. #388C22×C43semidirect
943. #388C22×C43semidirect
944. #388C22×C43semidirect
945. #388C22×C43semidirect
946. #388C22×C43semidirect
947. #388C22×C43semidirect
948. #388C22×C43semidirect
949. #388C22×C43semidirect
950. #387C22×C43semidirect
951. #387C22×C43semidirect
952. #387C22×C43semidirect
953. #387C22×C43semidirect
954. #387C22×C43semidirect
955. #387C22×C43semidirect
956. #387C22×C43semidirect
957. #387C22×C43semidirect
958. #387C22×C43semidirect
959. #387C22×C43semidirect
974. #386C22×C43semidirect
975. #386C22×C43semidirect
976. #386C22×C43semidirect
977. #386C22×C43semidirect
978. #386C22×C43semidirect
979. #386C22×C43semidirect
980. #386C22×C43semidirect
981. #386C22×C43semidirect
986. #385C22×C43semidirect
987. #385C22×C43semidirect
988. #385C22×C43semidirect
989. #385C22×C43semidirect
990. #383C22×C43semidirect
991. #381C22×C43semidirect
992. #381C22×C43semidirect
993. #381C22×C43semidirect
995. #380C22×C43semidirect
996. #380C22×C43semidirect
999. C4×C4⋊C4C22×C43semidirect
1000. C4×C4⋊C4C22×C43semidirect
1001. C4×C4⋊C4C22×C43semidirect
1002. C4×C4⋊C4C22×C43semidirect
1003. C4×C4⋊C4C22×C43semidirect
1013. C4×C22⋊C4C22×C43semidirect
1014. C4×C22⋊C4C22×C43semidirect
1015. C4×C22⋊C4C22×C43semidirect
1016. C4×C22⋊C4C22×C43semidirect
1017. C4×C22⋊C4C22×C43semidirect
1018. C4×C22⋊C4C22×C43semidirect
1019. C4×C22⋊C4C22×C43semidirect
1020. C4×C22⋊C4C22×C43semidirect
1021. C4×C22⋊C4C22×C43semidirect
1022. C4×C22⋊C4C22×C43semidirect
1023. C4×C22⋊C4C22×C43semidirect
1024. C4×C22⋊C4C22×C43semidirect
1025. C4×C22⋊C4C22×C43semidirect
1026. C4×C22⋊C4C22×C43semidirect
1027. C4×C22⋊C4C22×C43semidirect
1028. C4×C22⋊C4C22×C43semidirect
1029. C4×C22⋊C4C22×C43semidirect
1030. C4×C22⋊C4C22×C43semidirect
1031. C4×C22⋊C4C22×C43semidirect
1032. C4×C22⋊C4C22×C43semidirect
1033. C4×C22⋊C4C22×C43semidirect
1034. C4×C22⋊C4C22×C43semidirect
1035. #376C22×C43semidirect
1036. #376C22×C43semidirect
1039. C2×#95C22×C43semidirect
1040. C2×#95C22×C43semidirect
1041. C2×#95C22×C43semidirect
1042. C43#34302direct (N × H)
1047. C2×#41C2×C4×C43semidirect
1051. C22×D4C2×C4×C43semidirect
1084. #124C2×C4×C43semidirect
1085. #123C2×C4×C43semidirect
1086. #123C2×C4×C43semidirect
1087. C22⋊Q8C2×C4×C43semidirect
1088. #121C2×C4×C43semidirect
1089. #121C2×C4×C43semidirect
1090. #121C2×C4×C43semidirect
1091. #120C2×C4×C43semidirect
1092. #120C2×C4×C43semidirect
1101. C4×D4C2×C4×C43semidirect
1102. C4×D4C2×C4×C43semidirect
1126. C2×C22⋊C4C2×C4×C43semidirect
1127. C2×C22⋊C4C2×C4×C43semidirect
1260. C2×Q8C22×C4×C43semidirect
1287. C2×D4C22×C4×C43semidirect
1288. C2×D4C22×C4×C43semidirect
1346. C22×C4C22×C4×C43semidirect
1347. C22×C4C22×C4×C43semidirect
1348. C22×C4C22×C4×C43semidirect
1349. C22×C4#41×C43semidirect
1387. C4⋊C4C22×C4×C43semidirect
1388. C4⋊C4C22×C4×C43semidirect
1389. C4⋊C4C22×C4×C43semidirect
1390. C4⋊C4C22×C4×C43semidirect
1431. C22⋊C4C22×C4×C43semidirect
1432. C22⋊C4C22×C4×C43semidirect
1433. C22⋊C4C22×C4×C43semidirect
1434. C22⋊C4C22×C4×C43semidirect
1435. C22⋊C4C22×C4×C43semidirect
1436. C22⋊C4#41×C43semidirect
1457. C42C22×C4×C43semidirect

Maximal subgroups

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

subgroupindex
C2×C43×#5462
C43×#23742
C43×#23722
C43×#23682
C43×#23642
C43×#23632
C43×#23592
C43×#23582
C43×#23532
C43×#23422
C43×#23392
D4×C22⋊C4×C432
C43×#23372
C43×#23352
C43×#23332
C43×#23292
C43×#23212
C4×#123×C432
C4×#121×C432
C4×#120×C432
C43×#22972
C43×#22902
C2×C43×#3862
C43×#22752
C43×#22732
C2×C4×C22⋊C4×C432
#3430243