Finite Group Databasebeta

← C3×#36245 #10654852

Subgroups — C3×#36245 #10654852

Order 768.

2156 conjugacy classes of subgroups.

The subgroup lattice has 1512 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2852C211yesmaximal, characteristic, complemented
2C3×#2851C211yesmaximal, characteristic, complemented
3C3×#2849C211yesmaximal, characteristic
4C3×#2575C211yesmaximal, characteristic, complemented
5C3×#2573C211yesmaximal, characteristic, complemented
6C3×#2558C211yesmaximal, characteristic, complemented
7C3×#2553C211yesmaximal, characteristic, complemented
8C3×#2527C211yesmaximal, characteristic, complemented
9C3×#2515C211yesmaximal, characteristic, complemented
10C3×#2510C211yesmaximal, characteristic, complemented
11C3×#2505C211yesmaximal, characteristic, complemented
12C3×#2505C211yesmaximal, characteristic, complemented
13C3×#2493C211yesmaximal, characteristic, complemented
14C3×#2488C211yesmaximal, characteristic, complemented
15C3×#2481C211yesmaximal, characteristic, complemented
16C3×#2473C211yesmaximal, characteristic, complemented
17C3×#2470C211yesmaximal, characteristic, complemented
18C3×#2458C211yesmaximal, characteristic, complemented
19C3×#2450C211yesmaximal, characteristic, complemented
20C3×#2437C211yesmaximal, characteristic, complemented
21C3×#2412C211yesmaximal, characteristic
22C3×#2360C211yesmaximal, characteristic, complemented
23C3×#2359C211yesmaximal, characteristic, complemented
24C3×#2358C211yesmaximal, characteristic
25C3×#2352C211yesmaximal, characteristic, complemented
26C3×#2343C211yesmaximal, characteristic, complemented
27C3×#2342C211yesmaximal, characteristic, complemented
28C3×C4×C22⋊Q8C211yesmaximal, characteristic, complemented
29C3×#2290C211yesmaximal, characteristic, complemented
30C2×C3×#385C211yesmaximal, characteristic, complemented
31C2×C3×C4×C22⋊C4C211yesmaximal, characteristic, complemented
32#36245C311yesmaximal, characteristic, direct product factor, Sylow
33C24×C3×C4C2211yescharacteristic
34C2×C3×#126C2211yescharacteristic, complemented
35C2×C3×#125C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic
39C2×C3×C22⋊Q8C2211yescharacteristic
40C2×C3×C22⋊Q8C2211yescharacteristic
41C2×C3×#120C2211yescharacteristic
42C2×C3×C4×Q8C2211yescharacteristic, complemented
43C2×C3×C4×D4C2211yescharacteristic
44C2×C3×C4×D4C2211yescharacteristic
45C2×C3×#117C2211yescharacteristic
46C2×C3×#117C2211yescharacteristic, complemented
47C22×C3×C4⋊C4C2211yescharacteristic
48C22×C3×C4⋊C4C2211yescharacteristic
49C22×C3×C22⋊C4C2211yescharacteristic
50C22×C3×C22⋊C4C2211yescharacteristic
51C22×C3×C22⋊C4C2211yescharacteristic
52C22×C3×C22⋊C4C2211yescharacteristic
53C22×C3×C42C2211yescharacteristic
54C22×C3×C42C2211yescharacteristic
55C3×#401C2211yescharacteristic, complemented
56C3×#400C2211yescharacteristic, complemented
57C3×#400C2211yescharacteristic, complemented
58C3×#400C2211yescharacteristic, complemented
59C3×#400C2211yescharacteristic, complemented
60C3×#400C2211yescharacteristic, complemented
61C3×#400C2211yescharacteristic, complemented
62C3×#400C2211yescharacteristic, complemented
63C3×#400C2211yescharacteristic, complemented
64C3×#399C2211yescharacteristic
65C3×#398C2211yescharacteristic, complemented
66C3×#398C2211yescharacteristic, complemented
67C3×#398C2211yescharacteristic, complemented
68C3×#397C2211yescharacteristic
69C3×#397C2211yescharacteristic
70C3×#397C2211yescharacteristic, complemented
71C3×#397C2211yescharacteristic, complemented
72C3×#396C2211yescharacteristic
73C3×#396C2211yescharacteristic
74C3×#396C2211yescharacteristic, complemented
75C3×#394C2211yescharacteristic
76C3×#394C2211yescharacteristic
77C3×#393C2211yescharacteristic
78C3×#393C2211yescharacteristic, complemented
79C3×#391C2211yescharacteristic, complemented
80C3×#391C2211yescharacteristic, complemented
81C3×#390C2211yescharacteristic
82C3×#389C2211yescharacteristic, complemented
83C3×#389C2211yescharacteristic, complemented
84C3×#389C2211yescharacteristic, complemented
85C3×#389C2211yescharacteristic, complemented
86C3×#389C2211yescharacteristic, complemented
87C3×#388C2211yescharacteristic
88C3×#388C2211yescharacteristic
89C3×#388C2211yescharacteristic
90C3×#388C2211yescharacteristic
91C3×#388C2211yescharacteristic
92C3×#388C2211yescharacteristic
93C3×#388C2211yescharacteristic, complemented
94C3×#388C2211yescharacteristic, complemented
95C3×#388C2211yescharacteristic, complemented
96C3×#388C2211yescharacteristic, complemented
97C3×#388C2211yescharacteristic, complemented
98C3×#388C2211yescharacteristic, complemented
99C3×#388C2211yescharacteristic, complemented
100C3×#387C2211yescharacteristic, complemented
101C3×#387C2211yescharacteristic, complemented
102C3×#387C2211yescharacteristic, complemented
103C3×#387C2211yescharacteristic, complemented
104C3×#387C2211yescharacteristic, complemented
105C3×#387C2211yescharacteristic, complemented
106C3×#387C2211yescharacteristic, complemented
107C3×#387C2211yescharacteristic, complemented
108C3×#387C2211yescharacteristic, complemented
109C3×#387C2211yescharacteristic, complemented
110C3×#387C2211yescharacteristic, complemented
111C3×#387C2211yescharacteristic, complemented
112C3×#387C2211yescharacteristic, complemented
113C3×#387C2211yescharacteristic, complemented
114C3×#387C2211yescharacteristic, complemented
115C3×#387C2211yescharacteristic, complemented
116C3×#387C2211yescharacteristic, complemented
117C3×#386C2211yescharacteristic
118C3×#386C2211yescharacteristic
119C3×#386C2211yescharacteristic
120C3×#386C2211yescharacteristic
121C3×#386C2211yescharacteristic
122C3×#386C2211yescharacteristic
123C3×#386C2211yescharacteristic
124C3×#386C2211yescharacteristic
125C3×#386C2211yescharacteristic
126C3×#386C2211yescharacteristic
127C3×#385C2211yescharacteristic
128C3×#385C2211yescharacteristic
129C3×#385C2211yescharacteristic
130C3×#385C2211yescharacteristic
131C3×#385C2211yescharacteristic
132C3×#385C2211yescharacteristic
133C3×#385C2211yescharacteristic
134C3×#385C2211yescharacteristic
135C3×#385C2211yescharacteristic
136C3×#385C2211yescharacteristic
137C3×#385C2211yescharacteristic
138C3×#385C2211yescharacteristic
139C3×#385C2211yescharacteristic
140C3×#385C2211yescharacteristic
141C3×#385C2211yescharacteristic
142C3×#385C2211yescharacteristic
143C3×#385C2211yescharacteristic
144C3×#385C2211yescharacteristic
145C3×#385C2211yescharacteristic
146C3×#385C2211yescharacteristic
147C3×#385C2211yescharacteristic
148C3×#385C2211yescharacteristic, complemented
149C3×#383C2211yescharacteristic, complemented
150C3×#383C2211yescharacteristic, complemented
151C3×#382C2211yescharacteristic, complemented
152C3×#382C2211yescharacteristic, complemented
153C3×#382C2211yescharacteristic, complemented
154C3×#381C2211yescharacteristic
155C3×#381C2211yescharacteristic
156C3×#381C2211yescharacteristic
157C3×#381C2211yescharacteristic
158C3×#380C2211yescharacteristic
159C3×#380C2211yescharacteristic
160C3×#380C2211yescharacteristic
161C3×#380C2211yescharacteristic
162C3×#380C2211yescharacteristic
163C3×#380C2211yescharacteristic, complemented
164C3×#379C2211yescharacteristic
165C3×C4×C4⋊C4C2211yescharacteristic, complemented
166C3×C4×C4⋊C4C2211yescharacteristic, complemented
167C3×C4×C4⋊C4C2211yescharacteristic, complemented
168C3×C4×C4⋊C4C2211yescharacteristic, complemented
169C3×C4×C22⋊C4C2211yescharacteristic
170C3×C4×C22⋊C4C2211yescharacteristic
171C3×C4×C22⋊C4C2211yescharacteristic
172C3×C4×C22⋊C4C2211yescharacteristic
173C3×C4×C22⋊C4C2211yescharacteristic
174C3×C4×C22⋊C4C2211yescharacteristic
175C3×C4×C22⋊C4C2211yescharacteristic
176C3×C4×C22⋊C4C2211yescharacteristic
177C3×C4×C22⋊C4C2211yescharacteristic
178C3×C4×C22⋊C4C2211yescharacteristic
179C3×C4×C22⋊C4C2211yescharacteristic
180C3×C4×C22⋊C4C2211yescharacteristic
181C3×C4×C22⋊C4C2211yescharacteristic
182C3×C4×C22⋊C4C2211yescharacteristic, complemented
183C3×#376C2211yescharacteristic, complemented
184C2×C3×#95C2211yescharacteristic
185C2×C3×#95C2211yescharacteristic
186C2×C3×#95C2211yescharacteristic
187C2×C3×#95C2211yescharacteristic
188#2852C2×C311yescharacteristic, complemented
189#2851C2×C311yescharacteristic, complemented
190#2849C2×C311yescharacteristic
191#2575C2×C311yescharacteristic, complemented
192#2573C2×C311yescharacteristic, complemented
193#2558C2×C311yescharacteristic, complemented
194#2553C2×C311yescharacteristic, complemented
195#2527C2×C311yescharacteristic, complemented
196#2515C2×C311yescharacteristic, complemented
197#2510C2×C311yescharacteristic, complemented
198#2505C2×C311yescharacteristic, complemented
199#2505C2×C311yescharacteristic, complemented
200#2493C2×C311yescharacteristic, complemented
201#2488C2×C311yescharacteristic, complemented
202#2481C2×C311yescharacteristic, complemented
203#2473C2×C311yescharacteristic, complemented
204#2470C2×C311yescharacteristic, complemented
205#2458C2×C311yescharacteristic, complemented
206#2450C2×C311yescharacteristic, complemented
207#2437C2×C311yescharacteristic, complemented
208#2412C2×C311yescharacteristic
209#2360C2×C311yescharacteristic, complemented
210#2359C2×C311yescharacteristic, complemented
211#2358C2×C311yescharacteristic
212#2352C2×C311yescharacteristic, complemented
213#2343C2×C311yescharacteristic, complemented
214#2342C2×C311yescharacteristic, complemented
215C4×C22⋊Q8C2×C311yescharacteristic, complemented
216#2290C2×C311yescharacteristic, complemented
217C2×#385C2×C311yescharacteristic, complemented
218C2×C4×C22⋊C4C2×C311yescharacteristic, complemented
219C25×C3C2311yescharacteristic
220C22×C3×Q8C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C23×C3×C4—24no—
225C23×C3×C4—42no—
226C23×C3×C4—42no—
227C23×C3×C4C2311yescharacteristic
228C23×C3×C4C2311yescharacteristic
229C23×C3×C4C2311yescharacteristic
230C23×C3×C4C2311yescharacteristic
231C23×C3×C4C2311yescharacteristic
232C23×C3×C4C2311yescharacteristic
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C23×C3×C4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
242C3×#126—42no—
243C3×#125—42no—
244C3×#123—24no—
245C3×#123—42no—
246C3×#123—42no—
247C3×C22⋊Q8—24no—
248C3×C22⋊Q8—24no—
249C3×#120—24no—
250C3×C4×Q8—42no—
251C3×C4×D4—24no—
252C3×C4×D4—24no—
253C3×#117—24no—
254C3×#117—42no—
255C2×C3×C4⋊C4—42no—
256C2×C3×C4⋊C4—42no—
257C2×C3×C4⋊C4C2311yescharacteristic
258C2×C3×C4⋊C4C2311yescharacteristic
259C2×C3×C4⋊C4C2311yescharacteristic
260C2×C3×C4⋊C4C2311yescharacteristic
261C2×C3×C4⋊C4C2311yescharacteristic
262C2×C3×C4⋊C4C2311yescharacteristic
263C2×C3×C4⋊C4C2311yescharacteristic
264C2×C3×C4⋊C4C2311yescharacteristic
265C2×C3×C4⋊C4C2311yescharacteristic
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C22⋊C4—24no—
290C2×C3×C22⋊C4—24no—
291C2×C3×C22⋊C4—24no—
292C2×C3×C22⋊C4—24no—
293C2×C3×C22⋊C4C2311yescharacteristic
294C2×C3×C22⋊C4C2311yescharacteristic
295C2×C3×C22⋊C4C2311yescharacteristic
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×C3×C22⋊C4C2311yescharacteristic
304C2×C3×C22⋊C4C2311yescharacteristic
305C2×C3×C22⋊C4C2311yescharacteristic
306C2×C3×C22⋊C4C2311yescharacteristic
307C2×C3×C22⋊C4C2311yescharacteristic
308C2×C3×C22⋊C4C2311yescharacteristic
309C2×C3×C22⋊C4C2311yescharacteristic
310C2×C3×C22⋊C4C2311yescharacteristic
311C2×C3×C22⋊C4C2311yescharacteristic
312C2×C3×C22⋊C4C2311yescharacteristic
313C2×C3×C22⋊C4C2311yescharacteristic
314C2×C3×C22⋊C4C2311yescharacteristic
315C2×C3×C22⋊C4C2311yescharacteristic
316C2×C3×C22⋊C4C2311yescharacteristic
317C2×C3×C22⋊C4C2311yescharacteristic
318C2×C3×C22⋊C4C2311yescharacteristic
319C2×C3×C22⋊C4C2311yescharacteristic
320C2×C3×C22⋊C4C2311yescharacteristic
321C2×C3×C22⋊C4C2311yescharacteristic
322C2×C3×C22⋊C4C2311yescharacteristic
323C2×C3×C22⋊C4C2311yescharacteristic
324C2×C3×C22⋊C4C2311yescharacteristic
325C2×C3×C22⋊C4C2311yescharacteristic
326C2×C3×C22⋊C4C2311yescharacteristic
327C2×C3×C22⋊C4C2311yescharacteristic
328C2×C3×C22⋊C4C2311yescharacteristic
329C2×C3×C42—42no—
330C2×C3×C42—42no—
331C2×C3×C42C2311yescharacteristic
332C2×C3×C42C2311yescharacteristic
333C2×C3×C42C2311yescharacteristic
334C2×C3×C42C2311yescharacteristic
335C2×C3×C42C2311yescharacteristic
336C2×C3×C42C2311yescharacteristic
337C2×C3×C42C2311yescharacteristic
338C2×C3×C42C2311yescharacteristic
339C2×C3×C42C2311yescharacteristic
340C2×C3×C42C2311yescharacteristic
341C2×C3×C42C2311yescharacteristic
342C2×C3×C42C2311yescharacteristic
343C2×C3×C42C2311yescharacteristic
344C2×C3×C42C2311yescharacteristic
345C2×C3×C42C2311yescharacteristic
346C3×#95C2311yescharacteristic
347C3×#95C2311yescharacteristic
348C3×#95C2311yescharacteristic
349C3×#95C2311yescharacteristic
350C3×#95C2311yescharacteristic
351C3×#95C2311yescharacteristic
352C3×#95C2311yescharacteristic
353C3×#95C2311yescharacteristic
354C3×#95C2311yescharacteristic
355C3×#95C2311yescharacteristic
356C3×#95C2311yescharacteristic
357C3×#95C2311yescharacteristic
358C3×#95C2311yescharacteristic
359C3×#95C2311yescharacteristic
360C3×#95C2311yescharacteristic
361C3×#95C2311yescharacteristic
362C3×#95C2311yescharacteristic
363C3×#95C2311yescharacteristic
364C3×#95C2311yescharacteristic
365C3×#95C2311yescharacteristic
366C3×#95C2311yescharacteristic
367C3×#95C2311yescharacteristic
368C3×#95C2311yescharacteristic
369C3×#95C2311yescharacteristic
370C3×#95C2311yescharacteristic
371C3×#95C2311yescharacteristic
372C3×#95C2311yescharacteristic
373C3×#95C2311yescharacteristic
374C3×#95C2311yescharacteristic
375C3×#95C2311yescharacteristic
376C3×#95C2311yescharacteristic
377C3×#95C2311yescharacteristic
378C3×#95C2311yescharacteristic
379C3×#95C2311yescharacteristic
380C3×#95C2311yescharacteristic
381C3×#95C2311yescharacteristic
382C3×#95C2311yescharacteristic
383C3×#95C2311yescharacteristic
384C3×#95C2311yescharacteristic
385C3×#95C2311yescharacteristic
386C3×#95C2311yescharacteristic
387C3×#95C2311yescharacteristic
388C3×#95C2311yescharacteristic
389C3×#95C2311yescharacteristic
390C3×#95C2311yescharacteristic
391C3×#95C2311yescharacteristic
392C3×#95C2311yescharacteristic
393C3×#95C2311yescharacteristic
394C3×#95C2311yescharacteristic
395C3×#95C2311yescharacteristic
396C3×#95C2311yescharacteristic
397C3×#95C2311yescharacteristic
398C24×C4C22×C311yescharacteristic
399C2×#126C22×C311yescharacteristic, complemented
400C2×#125C22×C311yescharacteristic, complemented
401C2×#123C22×C311yescharacteristic
402C2×#123C22×C311yescharacteristic
403C2×#123C22×C311yescharacteristic
404C2×C22⋊Q8C22×C311yescharacteristic
405C2×C22⋊Q8C22×C311yescharacteristic
406C2×#120C22×C311yescharacteristic
407C2×C4×Q8C22×C311yescharacteristic, complemented
408C2×C4×D4C22×C311yescharacteristic
409C2×C4×D4C22×C311yescharacteristic
410C2×#117C22×C311yescharacteristic
411C2×#117C22×C311yescharacteristic, complemented
412C22×C4⋊C4C22×C311yescharacteristic
413C22×C4⋊C4C22×C311yescharacteristic
414C22×C22⋊C4C22×C311yescharacteristic
415C22×C22⋊C4C22×C311yescharacteristic
416C22×C22⋊C4C22×C311yescharacteristic
417C22×C22⋊C4C22×C311yescharacteristic
418C22×C42C22×C311yescharacteristic
419C22×C42C22×C311yescharacteristic
420#401C22×C311yescharacteristic, complemented
421#400C22×C311yescharacteristic, complemented
422#400C22×C311yescharacteristic, complemented
423#400C22×C311yescharacteristic, complemented
424#400C22×C311yescharacteristic, complemented
425#400C22×C311yescharacteristic, complemented
426#400C22×C311yescharacteristic, complemented
427#400C22×C311yescharacteristic, complemented
428#400C22×C311yescharacteristic, complemented
429#399C22×C311yescharacteristic
430#398C22×C311yescharacteristic, complemented
431#398C22×C311yescharacteristic, complemented
432#398C22×C311yescharacteristic, complemented
433#397C22×C311yescharacteristic
434#397C22×C311yescharacteristic
435#397C22×C311yescharacteristic, complemented
436#397C22×C311yescharacteristic, complemented
437#396C22×C311yescharacteristic
438#396C22×C311yescharacteristic
439#396C22×C311yescharacteristic, complemented
440#394C22×C311yescharacteristic
441#394C22×C311yescharacteristic
442#393C22×C311yescharacteristic
443#393C22×C311yescharacteristic, complemented
444#391C22×C311yescharacteristic, complemented
445#391C22×C311yescharacteristic, complemented
446#390C22×C311yescharacteristic
447#389C22×C311yescharacteristic, complemented
448#389C22×C311yescharacteristic, complemented
449#389C22×C311yescharacteristic, complemented
450#389C22×C311yescharacteristic, complemented
451#389C22×C311yescharacteristic, complemented
452#388C22×C311yescharacteristic
453#388C22×C311yescharacteristic
454#388C22×C311yescharacteristic
455#388C22×C311yescharacteristic
456#388C22×C311yescharacteristic
457#388C22×C311yescharacteristic
458#388C22×C311yescharacteristic, complemented
459#388C22×C311yescharacteristic, complemented
460#388C22×C311yescharacteristic, complemented
461#388C22×C311yescharacteristic, complemented
462#388C22×C311yescharacteristic, complemented
463#388C22×C311yescharacteristic, complemented
464#388C22×C311yescharacteristic, complemented
465#387C22×C311yescharacteristic, complemented
466#387C22×C311yescharacteristic, complemented
467#387C22×C311yescharacteristic, complemented
468#387C22×C311yescharacteristic, complemented
469#387C22×C311yescharacteristic, complemented
470#387C22×C311yescharacteristic, complemented
471#387C22×C311yescharacteristic, complemented
472#387C22×C311yescharacteristic, complemented
473#387C22×C311yescharacteristic, complemented
474#387C22×C311yescharacteristic, complemented
475#387C22×C311yescharacteristic, complemented
476#387C22×C311yescharacteristic, complemented
477#387C22×C311yescharacteristic, complemented
478#387C22×C311yescharacteristic, complemented
479#387C22×C311yescharacteristic, complemented
480#387C22×C311yescharacteristic, complemented
481#387C22×C311yescharacteristic, complemented
482#386C22×C311yescharacteristic
483#386C22×C311yescharacteristic
484#386C22×C311yescharacteristic
485#386C22×C311yescharacteristic
486#386C22×C311yescharacteristic
487#386C22×C311yescharacteristic
488#386C22×C311yescharacteristic
489#386C22×C311yescharacteristic
490#386C22×C311yescharacteristic
491#386C22×C311yescharacteristic
492#385C22×C311yescharacteristic
493#385C22×C311yescharacteristic
494#385C22×C311yescharacteristic
495#385C22×C311yescharacteristic
496#385C22×C311yescharacteristic
497#385C22×C311yescharacteristic
498#385C22×C311yescharacteristic
499#385C22×C311yescharacteristic
500#385C22×C311yescharacteristic
501#385C22×C311yescharacteristic
502#385C22×C311yescharacteristic
503#385C22×C311yescharacteristic
504#385C22×C311yescharacteristic
505#385C22×C311yescharacteristic
506#385C22×C311yescharacteristic
507#385C22×C311yescharacteristic
508#385C22×C311yescharacteristic
509#385C22×C311yescharacteristic
510#385C22×C311yescharacteristic
511#385C22×C311yescharacteristic
512#385C22×C311yescharacteristic
513#385C22×C311yescharacteristic, complemented
514#383C22×C311yescharacteristic, complemented
515#383C22×C311yescharacteristic, complemented
516#382C22×C311yescharacteristic, complemented
517#382C22×C311yescharacteristic, complemented
518#382C22×C311yescharacteristic, complemented
519#381C22×C311yescharacteristic
520#381C22×C311yescharacteristic
521#381C22×C311yescharacteristic
522#381C22×C311yescharacteristic
523#380C22×C311yescharacteristic
524#380C22×C311yescharacteristic
525#380C22×C311yescharacteristic
526#380C22×C311yescharacteristic
527#380C22×C311yescharacteristic
528#380C22×C311yescharacteristic, complemented
529#379C22×C311yescharacteristic
530C4×C4⋊C4C22×C311yescharacteristic, complemented
531C4×C4⋊C4C22×C311yescharacteristic, complemented
532C4×C4⋊C4C22×C311yescharacteristic, complemented
533C4×C4⋊C4C22×C311yescharacteristic, complemented
534C4×C22⋊C4C22×C311yescharacteristic
535C4×C22⋊C4C22×C311yescharacteristic
536C4×C22⋊C4C22×C311yescharacteristic
537C4×C22⋊C4C22×C311yescharacteristic
538C4×C22⋊C4C22×C311yescharacteristic
539C4×C22⋊C4C22×C311yescharacteristic
540C4×C22⋊C4C22×C311yescharacteristic
541C4×C22⋊C4C22×C311yescharacteristic
542C4×C22⋊C4C22×C311yescharacteristic
543C4×C22⋊C4C22×C311yescharacteristic
544C4×C22⋊C4C22×C311yescharacteristic
545C4×C22⋊C4C22×C311yescharacteristic
546C4×C22⋊C4C22×C311yescharacteristic
547C4×C22⋊C4C22×C311yescharacteristic, complemented
548#376C22×C311yescharacteristic, complemented
549C2×#95C22×C311yescharacteristic
550C2×#95C22×C311yescharacteristic
551C2×#95C22×C311yescharacteristic
552C2×#95C22×C311yescharacteristic
553C24×C3—22no—
554C24×C3—22no—
555C24×C3—22no—
556C24×C3—22no—
557C24×C3—41no—
558C24×C3—41no—
559C24×C3#4114yes—
560C24×C3C2411yescharacteristic
561C24×C3C2411yescharacteristic
562C24×C3C2411yescharacteristic
563C24×C3C2411yescharacteristic
564C2×C3×Q8—22no—
565C2×C3×Q8—22no—
566C2×C3×Q8—41no—
567C2×C3×D4—22no—
568C2×C3×D4—22no—
569C2×C3×D4—22no—
570C2×C3×D4—22no—
571C2×C3×D4—22no—
572C2×C3×D4—22no—
573C2×C3×D4—22no—
574C2×C3×D4—41no—
575C2×C3×D4—41no—
576C22×C3×C4—22no—
577C22×C3×C4—22no—
578C22×C3×C4—22no—
579C22×C3×C4—22no—
580C22×C3×C4—22no—
581C22×C3×C4—22no—
582C22×C3×C4—22no—
583C22×C3×C4—22no—
584C22×C3×C4—22no—
585C22×C3×C4—22no—
586C22×C3×C4—22no—
587C22×C3×C4—22no—
588C22×C3×C4—22no—
589C22×C3×C4—22no—
590C22×C3×C4—22no—
591C22×C3×C4—22no—
592C22×C3×C4—22no—
593C22×C3×C4—22no—
594C22×C3×C4—22no—
595C22×C3×C4—22no—
596C22×C3×C4—22no—
597C22×C3×C4—22no—
598C22×C3×C4—22no—
599C22×C3×C4—22no—
600C22×C3×C4—22no—
601C22×C3×C4—22no—
602C22×C3×C4—22no—
603C22×C3×C4—22no—
604C22×C3×C4—22no—
605C22×C3×C4—22no—
606C22×C3×C4—41no—
607C22×C3×C4—41no—
608C22×C3×C4—41no—
609C22×C3×C4—41no—
610C22×C3×C4—41no—
611C22×C3×C4—41no—
612C22×C3×C4—41no—
613C22×C3×C4—41no—
614C22×C3×C4—41no—
615C22×C3×C4—41no—
616C22×C3×C4—41no—
617C22×C3×C4—41no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—416no—
622C22×C3×C4C2411yescharacteristic
623C22×C3×C4C2411yescharacteristic
624C22×C3×C4C2411yescharacteristic
625C22×C3×C4C2411yescharacteristic
626C22×C3×C4C2411yescharacteristic
627C22×C3×C4C2411yescharacteristic
628C22×C3×C4C2411yescharacteristic
629C22×C3×C4C2411yescharacteristic
630C22×C3×C4C2411yescharacteristic
631C22×C3×C4C2411yescharacteristic
632C22×C3×C4C2411yescharacteristic
633C22×C3×C4C2411yescharacteristic
634C22×C3×C4C2411yescharacteristic
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
649C3×C4⋊C4—22no—
650C3×C4⋊C4—22no—
651C3×C4⋊C4—22no—
652C3×C4⋊C4—22no—
653C3×C4⋊C4—22no—
654C3×C4⋊C4—22no—
655C3×C4⋊C4—22no—
656C3×C4⋊C4—22no—
657C3×C4⋊C4—22no—
658C3×C4⋊C4—22no—
659C3×C4⋊C4—22no—
660C3×C4⋊C4—22no—
661C3×C4⋊C4—22no—
662C3×C4⋊C4—22no—
663C3×C4⋊C4—22no—
664C3×C4⋊C4—22no—
665C3×C4⋊C4—22no—
666C3×C4⋊C4—22no—
667C3×C4⋊C4—41no—
668C3×C4⋊C4—41no—
669C3×C4⋊C4—41no—
670C3×C4⋊C4—41no—
671C3×C4⋊C4—41no—
672C3×C4⋊C4—41no—
673C3×C4⋊C4—41no—
674C3×C4⋊C4—41no—
675C3×C4⋊C4—41no—
676C3×C4⋊C4—41no—
677C3×C4⋊C4—41no—
678C3×C4⋊C4—41no—
679C3×C4⋊C4—41no—
680C3×C4⋊C4—41no—
681C3×C22⋊C4—22no—
682C3×C22⋊C4—22no—
683C3×C22⋊C4—22no—
684C3×C22⋊C4—22no—
685C3×C22⋊C4—22no—
686C3×C22⋊C4—22no—
687C3×C22⋊C4—22no—
688C3×C22⋊C4—22no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—41no—
708C3×C22⋊C4—41no—
709C3×C22⋊C4—41no—
710C3×C22⋊C4—41no—
711C3×C22⋊C4—41no—
712C3×C22⋊C4—41no—
713C3×C22⋊C4—41no—
714C3×C22⋊C4#4114yes—
715C3×C22⋊C4#4114yes—
716C3×C22⋊C4#4114yes—
717C3×C42—22no—
718C3×C42—22no—
719C3×C42—22no—
720C3×C42—22no—
721C3×C42—22no—
722C3×C42—22no—
723C3×C42—22no—
724C3×C42—22no—
725C3×C42—41no—
726C3×C42—41no—
727C3×C42—41no—
728C3×C42—41no—
729C3×C42—41no—
730C3×C42—41no—
731C3×C42—41no—
732C25C23×C311yescharacteristic
733C22×Q8C23×C311yescharacteristic
734C22×D4C23×C311yescharacteristic
735C22×D4C23×C311yescharacteristic
736C22×D4C23×C311yescharacteristic
737C23×C4—24no—
738C23×C4—42no—
739C23×C4—42no—
740C23×C4C23×C311yescharacteristic
741C23×C4C23×C311yescharacteristic
742C23×C4C23×C311yescharacteristic
743C23×C4C23×C311yescharacteristic
744C23×C4C23×C311yescharacteristic
745C23×C4C23×C311yescharacteristic
746C23×C4C23×C311yescharacteristic
747C23×C4C23×C311yescharacteristic
748C23×C4C23×C311yescharacteristic
749C23×C4C23×C311yescharacteristic
750C23×C4C23×C311yescharacteristic
751C23×C4C23×C311yescharacteristic
752C23×C4C23×C311yescharacteristic
753C23×C4C23×C311yescharacteristic
754C23×C4C23×C311yescharacteristic
755#126—42no—
756#125—42no—
757#123—24no—
758#123—42no—
759#123—42no—
760C22⋊Q8—24no—
761C22⋊Q8—24no—
762#120—24no—
763C4×Q8—42no—
764C4×D4—24no—
765C4×D4—24no—
766#117—24no—
767#117—42no—
768C2×C4⋊C4—42no—
769C2×C4⋊C4—42no—
770C2×C4⋊C4C23×C311yescharacteristic
771C2×C4⋊C4C23×C311yescharacteristic
772C2×C4⋊C4C23×C311yescharacteristic
773C2×C4⋊C4C23×C311yescharacteristic
774C2×C4⋊C4C23×C311yescharacteristic
775C2×C4⋊C4C23×C311yescharacteristic
776C2×C4⋊C4C23×C311yescharacteristic
777C2×C4⋊C4C23×C311yescharacteristic
778C2×C4⋊C4C23×C311yescharacteristic
779C2×C4⋊C4C23×C311yescharacteristic
780C2×C4⋊C4C23×C311yescharacteristic
781C2×C4⋊C4C23×C311yescharacteristic
782C2×C4⋊C4C23×C311yescharacteristic
783C2×C4⋊C4C23×C311yescharacteristic
784C2×C4⋊C4C23×C311yescharacteristic
785C2×C4⋊C4C23×C311yescharacteristic
786C2×C4⋊C4C23×C311yescharacteristic
787C2×C4⋊C4C23×C311yescharacteristic
788C2×C4⋊C4C23×C311yescharacteristic
789C2×C4⋊C4C23×C311yescharacteristic
790C2×C4⋊C4C23×C311yescharacteristic
791C2×C4⋊C4C23×C311yescharacteristic
792C2×C4⋊C4C23×C311yescharacteristic
793C2×C4⋊C4C23×C311yescharacteristic
794C2×C4⋊C4C23×C311yescharacteristic
795C2×C4⋊C4C23×C311yescharacteristic
796C2×C4⋊C4C23×C311yescharacteristic
797C2×C4⋊C4C23×C311yescharacteristic
798C2×C4⋊C4C23×C311yescharacteristic
799C2×C4⋊C4C23×C311yescharacteristic
800C2×C4⋊C4C23×C311yescharacteristic
801C2×C4⋊C4C23×C311yescharacteristic
802C2×C22⋊C4—24no—
803C2×C22⋊C4—24no—
804C2×C22⋊C4—24no—
805C2×C22⋊C4—24no—
806C2×C22⋊C4C23×C311yescharacteristic
807C2×C22⋊C4C23×C311yescharacteristic
808C2×C22⋊C4C23×C311yescharacteristic
809C2×C22⋊C4C23×C311yescharacteristic
810C2×C22⋊C4C23×C311yescharacteristic
811C2×C22⋊C4C23×C311yescharacteristic
812C2×C22⋊C4C23×C311yescharacteristic
813C2×C22⋊C4C23×C311yescharacteristic
814C2×C22⋊C4C23×C311yescharacteristic
815C2×C22⋊C4C23×C311yescharacteristic
816C2×C22⋊C4C23×C311yescharacteristic
817C2×C22⋊C4C23×C311yescharacteristic
818C2×C22⋊C4C23×C311yescharacteristic
819C2×C22⋊C4C23×C311yescharacteristic
820C2×C22⋊C4C23×C311yescharacteristic
821C2×C22⋊C4C23×C311yescharacteristic
822C2×C22⋊C4C23×C311yescharacteristic
823C2×C22⋊C4C23×C311yescharacteristic
824C2×C22⋊C4C23×C311yescharacteristic
825C2×C22⋊C4C23×C311yescharacteristic
826C2×C22⋊C4C23×C311yescharacteristic
827C2×C22⋊C4C23×C311yescharacteristic
828C2×C22⋊C4C23×C311yescharacteristic
829C2×C22⋊C4C23×C311yescharacteristic
830C2×C22⋊C4C23×C311yescharacteristic
831C2×C22⋊C4C23×C311yescharacteristic
832C2×C22⋊C4C23×C311yescharacteristic
833C2×C22⋊C4C23×C311yescharacteristic
834C2×C22⋊C4C23×C311yescharacteristic
835C2×C22⋊C4C23×C311yescharacteristic
836C2×C22⋊C4C23×C311yescharacteristic
837C2×C22⋊C4C23×C311yescharacteristic
838C2×C22⋊C4C23×C311yescharacteristic
839C2×C22⋊C4C23×C311yescharacteristic
840C2×C22⋊C4C23×C311yescharacteristic
841C2×C22⋊C4C23×C311yescharacteristic
842C2×C42—42no—
843C2×C42—42no—
844C2×C42C23×C311yescharacteristic
845C2×C42C23×C311yescharacteristic
846C2×C42C23×C311yescharacteristic
847C2×C42C23×C311yescharacteristic
848C2×C42C23×C311yescharacteristic
849C2×C42C23×C311yescharacteristic
850C2×C42C23×C311yescharacteristic
851C2×C42C23×C311yescharacteristic
852C2×C42C23×C311yescharacteristic
853C2×C42C23×C311yescharacteristic
854C2×C42C23×C311yescharacteristic
855C2×C42C23×C311yescharacteristic
856C2×C42C23×C311yescharacteristic
857C2×C42C23×C311yescharacteristic
858C2×C42C23×C311yescharacteristic
859#95C23×C311yescharacteristic
860#95C23×C311yescharacteristic
861#95C23×C311yescharacteristic
862#95C23×C311yescharacteristic
863#95C23×C311yescharacteristic
864#95C23×C311yescharacteristic
865#95C23×C311yescharacteristic
866#95C23×C311yescharacteristic
867#95C23×C311yescharacteristic
868#95C23×C311yescharacteristic
869#95C23×C311yescharacteristic
870#95C23×C311yescharacteristic
871#95C23×C311yescharacteristic
872#95C23×C311yescharacteristic
873#95C23×C311yescharacteristic
874#95C23×C311yescharacteristic
875#95C23×C311yescharacteristic
876#95C23×C311yescharacteristic
877#95C23×C311yescharacteristic
878#95C23×C311yescharacteristic
879#95C23×C311yescharacteristic
880#95C23×C311yescharacteristic
881#95C23×C311yescharacteristic
882#95C23×C311yescharacteristic
883#95C23×C311yescharacteristic
884#95C23×C311yescharacteristic
885#95C23×C311yescharacteristic
886#95C23×C311yescharacteristic
887#95C23×C311yescharacteristic
888#95C23×C311yescharacteristic
889#95C23×C311yescharacteristic
890#95C23×C311yescharacteristic
891#95C23×C311yescharacteristic
892#95C23×C311yescharacteristic
893#95C23×C311yescharacteristic
894#95C23×C311yescharacteristic
895#95C23×C311yescharacteristic
896#95C23×C311yescharacteristic
897#95C23×C311yescharacteristic
898#95C23×C311yescharacteristic
899#95C23×C311yescharacteristic
900#95C23×C311yescharacteristic
901#95C23×C311yescharacteristic
902#95C23×C311yescharacteristic
903#95C23×C311yescharacteristic
904#95C23×C311yescharacteristic
905#95C23×C311yescharacteristic
906#95C23×C311yescharacteristic
907#95C23×C311yescharacteristic
908#95C23×C311yescharacteristic
909#95C23×C311yescharacteristic
910#95C23×C311yescharacteristic
911C23×C3—21no—
912C23×C3—21no—
913C23×C3—21no—
914C23×C3—21no—
915C23×C3—21no—
916C23×C3—21no—
917C23×C3—21no—
918C23×C3—21no—
919C23×C3—28no—
920C23×C3—28no—
921C23×C3—21no—
922C23×C3—21no—
923C23×C3—21no—
924C23×C3—21no—
925C23×C3—21no—
926C23×C3—21no—
927C23×C3—21no—
928C23×C3—21no—
929C23×C3—21no—
930C23×C3—21no—
931C23×C3—21no—
932C23×C3—21no—
933C23×C3—21no—
934C23×C3—44no—
935C23×C3—44no—
936C23×C3—44no—
937C23×C3—44no—
938C23×C3—44no—
939C23×C3C2×#4112yes—
940C23×C3C2×#4112yes—
941C23×C3C2×#4112yes—
942C23×C3C2×#4112yes—
943C23×C3C2×#4112yes—
944C23×C3C2×#4112yes—
945C23×C32−1+412yes—
946C23×C3C2511yescharacteristic
947C3×Q8—44no—
948C3×D4—44no—
949C3×D4—44no—
950C3×D4—82no—
951C2×C3×C4—28no—
952C2×C3×C4—21no—
953C2×C3×C4—21no—
954C2×C3×C4—21no—
955C2×C3×C4—21no—
956C2×C3×C4—21no—
957C2×C3×C4—21no—
958C2×C3×C4—21no—
959C2×C3×C4—21no—
960C2×C3×C4—21no—
961C2×C3×C4—21no—
962C2×C3×C4—21no—
963C2×C3×C4—21no—
964C2×C3×C4—21no—
965C2×C3×C4—21no—
966C2×C3×C4—21no—
967C2×C3×C4—21no—
968C2×C3×C4—21no—
969C2×C3×C4—21no—
970C2×C3×C4—21no—
971C2×C3×C4—21no—
972C2×C3×C4—21no—
973C2×C3×C4—21no—
974C2×C3×C4—21no—
975C2×C3×C4—21no—
976C2×C3×C4—21no—
977C2×C3×C4—21no—
978C2×C3×C4—21no—
979C2×C3×C4—21no—
980C2×C3×C4—21no—
981C2×C3×C4—21no—
982C2×C3×C4—21no—
983C2×C3×C4—21no—
984C2×C3×C4—21no—
985C2×C3×C4—21no—
986C2×C3×C4—21no—
987C2×C3×C4—21no—
988C2×C3×C4—21no—
989C2×C3×C4—21no—
990C2×C3×C4—21no—
991C2×C3×C4—21no—
992C2×C3×C4—21no—
993C2×C3×C4—21no—
994C2×C3×C4—21no—
995C2×C3×C4—21no—
996C2×C3×C4—21no—
997C2×C3×C4—21no—
998C2×C3×C4—21no—
999C2×C3×C4—21no—
1000C2×C3×C4—21no—
1001C2×C3×C4—21no—
1002C2×C3×C4—21no—
1003C2×C3×C4—21no—
1004C2×C3×C4—21no—
1005C2×C3×C4—21no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—44no—
1026C2×C3×C4—44no—
1027C2×C3×C4—44no—
1028C2×C3×C4—44no—
1029C2×C3×C4—44no—
1030C2×C3×C4—44no—
1031C2×C3×C4—44no—
1032C2×C3×C4—44no—
1033C2×C3×C4—44no—
1034C2×C3×C4—44no—
1035C2×C3×C4—44no—
1036C2×C3×C4—44no—
1037C2×C3×C4—44no—
1038C2×C3×C4—82no—
1039C2×C3×C4C2×#4112yes—
1040C2×C3×C4C2×#4112yes—
1041C2×C3×C4C2×#4112yes—
1042C2×C3×C4C2×#4112yes—
1043C2×C3×C4C2×#4112yes—
1044C2×C3×C4C2×#4112yes—
1045C2×C3×C4H(5,𝔽2)12yes—
1046C2×C3×C4H(5,𝔽2)12yes—
1047C24—22no—
1048C24—22no—
1049C24—22no—
1050C24—22no—
1051C24—41no—
1052C24—41no—
1053C24C3×#4114yes—
1054C24C24×C311yescharacteristic
1055C24C24×C311yescharacteristic
1056C24C24×C311yescharacteristic
1057C24C24×C311yescharacteristic
1058C2×Q8—22no—
1059C2×Q8—22no—
1060C2×Q8—41no—
1061C2×D4—22no—
1062C2×D4—22no—
1063C2×D4—22no—
1064C2×D4—22no—
1065C2×D4—22no—
1066C2×D4—22no—
1067C2×D4—22no—
1068C2×D4—41no—
1069C2×D4—41no—
1070C22×C4—22no—
1071C22×C4—22no—
1072C22×C4—22no—
1073C22×C4—22no—
1074C22×C4—22no—
1075C22×C4—22no—
1076C22×C4—22no—
1077C22×C4—22no—
1078C22×C4—22no—
1079C22×C4—22no—
1080C22×C4—22no—
1081C22×C4—22no—
1082C22×C4—22no—
1083C22×C4—22no—
1084C22×C4—22no—
1085C22×C4—22no—
1086C22×C4—22no—
1087C22×C4—22no—
1088C22×C4—22no—
1089C22×C4—22no—
1090C22×C4—22no—
1091C22×C4—22no—
1092C22×C4—22no—
1093C22×C4—22no—
1094C22×C4—22no—
1095C22×C4—22no—
1096C22×C4—22no—
1097C22×C4—22no—
1098C22×C4—22no—
1099C22×C4—22no—
1100C22×C4—41no—
1101C22×C4—41no—
1102C22×C4—41no—
1103C22×C4—41no—
1104C22×C4—41no—
1105C22×C4—41no—
1106C22×C4—41no—
1107C22×C4—41no—
1108C22×C4—41no—
1109C22×C4—41no—
1110C22×C4—41no—
1111C22×C4—41no—
1112C22×C4—41no—
1113C22×C4—41no—
1114C22×C4—41no—
1115C22×C4—416no—
1116C22×C4C24×C311yescharacteristic
1117C22×C4C24×C311yescharacteristic
1118C22×C4C24×C311yescharacteristic
1119C22×C4C24×C311yescharacteristic
1120C22×C4C24×C311yescharacteristic
1121C22×C4C24×C311yescharacteristic
1122C22×C4C24×C311yescharacteristic
1123C22×C4C24×C311yescharacteristic
1124C22×C4C24×C311yescharacteristic
1125C22×C4C24×C311yescharacteristic
1126C22×C4C24×C311yescharacteristic
1127C22×C4C24×C311yescharacteristic
1128C22×C4C24×C311yescharacteristic
1129C22×C4C24×C311yescharacteristic
1130C22×C4C24×C311yescharacteristic
1131C22×C4C24×C311yescharacteristic
1132C22×C4C24×C311yescharacteristic
1133C22×C4C24×C311yescharacteristic
1134C22×C4C24×C311yescharacteristic
1135C22×C4C24×C311yescharacteristic
1136C22×C4C24×C311yescharacteristic
1137C22×C4C24×C311yescharacteristic
1138C22×C4C24×C311yescharacteristic
1139C22×C4C24×C311yescharacteristic
1140C22×C4C24×C311yescharacteristic
1141C22×C4C24×C311yescharacteristic
1142C22×C4C24×C311yescharacteristic
1143C4⋊C4—22no—
1144C4⋊C4—22no—
1145C4⋊C4—22no—
1146C4⋊C4—22no—
1147C4⋊C4—22no—
1148C4⋊C4—22no—
1149C4⋊C4—22no—
1150C4⋊C4—22no—
1151C4⋊C4—22no—
1152C4⋊C4—22no—
1153C4⋊C4—22no—
1154C4⋊C4—22no—
1155C4⋊C4—22no—
1156C4⋊C4—22no—
1157C4⋊C4—22no—
1158C4⋊C4—22no—
1159C4⋊C4—22no—
1160C4⋊C4—22no—
1161C4⋊C4—41no—
1162C4⋊C4—41no—
1163C4⋊C4—41no—
1164C4⋊C4—41no—
1165C4⋊C4—41no—
1166C4⋊C4—41no—
1167C4⋊C4—41no—
1168C4⋊C4—41no—
1169C4⋊C4—41no—
1170C4⋊C4—41no—
1171C4⋊C4—41no—
1172C4⋊C4—41no—
1173C4⋊C4—41no—
1174C4⋊C4—41no—
1175C22⋊C4—22no—
1176C22⋊C4—22no—
1177C22⋊C4—22no—
1178C22⋊C4—22no—
1179C22⋊C4—22no—
1180C22⋊C4—22no—
1181C22⋊C4—22no—
1182C22⋊C4—22no—
1183C22⋊C4—22no—
1184C22⋊C4—22no—
1185C22⋊C4—22no—
1186C22⋊C4—22no—
1187C22⋊C4—22no—
1188C22⋊C4—22no—
1189C22⋊C4—22no—
1190C22⋊C4—22no—
1191C22⋊C4—22no—
1192C22⋊C4—22no—
1193C22⋊C4—22no—
1194C22⋊C4—22no—
1195C22⋊C4—22no—
1196C22⋊C4—22no—
1197C22⋊C4—22no—
1198C22⋊C4—22no—
1199C22⋊C4—22no—
1200C22⋊C4—22no—
1201C22⋊C4—41no—
1202C22⋊C4—41no—
1203C22⋊C4—41no—
1204C22⋊C4—41no—
1205C22⋊C4—41no—
1206C22⋊C4—41no—
1207C22⋊C4—41no—
1208C22⋊C4C3×#4114yes—
1209C22⋊C4C3×#4114yes—
1210C22⋊C4C3×#4114yes—
1211C42—22no—
1212C42—22no—
1213C42—22no—
1214C42—22no—
1215C42—22no—
1216C42—22no—
1217C42—22no—
1218C42—22no—
1219C42—41no—
1220C42—41no—
1221C42—41no—
1222C42—41no—
1223C42—41no—
1224C42—41no—
1225C42—41no—
1226C22×C3—22no—
1227C22×C3—22no—
1228C22×C3—22no—
1229C22×C3—22no—
1230C22×C3—22no—
1231C22×C3—22no—
1232C22×C3—22no—
1233C22×C3—22no—
1234C22×C3—22no—
1235C22×C3—22no—
1236C22×C3—22no—
1237C22×C3—22no—
1238C22×C3—22no—
1239C22×C3—22no—
1240C22×C3—22no—
1241C22×C3—416no—
1242C22×C3—41no—
1243C22×C3—41no—
1244C22×C3—41no—
1245C22×C3—41no—
1246C22×C3—41no—
1247C22×C3—41no—
1248C22×C3—41no—
1249C22×C3—41no—
1250C22×C3—41no—
1251C22×C3—41no—
1252C22×C3—41no—
1253C22×C3#52914yes—
1254C22×C3#55214yes—
1255C22×C3C22×#4111yescharacteristic
1256C22×C3C22×#4111yescharacteristic
1257C22×C3C22×#4111yescharacteristic
1258C22×C3C22×#4111yescharacteristic
1259C22×C3C2×H(5,𝔽2)11yescharacteristic
1260C22×C3C2×H(5,𝔽2)11yescharacteristic
1261C22×C3C2×2−1+411yescharacteristic
1262C3×C4—22no—
1263C3×C4—22no—
1264C3×C4—22no—
1265C3×C4—22no—
1266C3×C4—22no—
1267C3×C4—22no—
1268C3×C4—22no—
1269C3×C4—22no—
1270C3×C4—41no—
1271C3×C4—41no—
1272C3×C4—41no—
1273C3×C4—41no—
1274C3×C4—41no—
1275C3×C4—41no—
1276C3×C4—41no—
1277C3×C4—41no—
1278C3×C4—41no—
1279C3×C4—41no—
1280C3×C4—41no—
1281C3×C4—41no—
1282C3×C4—41no—
1283C3×C4—41no—
1284C3×C4—41no—
1285C3×C4—41no—
1286C3×C4—41no—
1287C3×C4—41no—
1288C3×C4—41no—
1289C23—21no—
1290C23—21no—
1291C23—21no—
1292C23—21no—
1293C23—21no—
1294C23—21no—
1295C23—21no—
1296C23—21no—
1297C23—21no—
1298C23—21no—
1299C23—21no—
1300C23—21no—
1301C23—21no—
1302C23—21no—
1303C23—28no—
1304C23—28no—
1305C23—21no—
1306C23—21no—
1307C23—21no—
1308C23—21no—
1309C23—21no—
1310C23—21no—
1311C23—21no—
1312C23—44no—
1313C23—44no—
1314C23—44no—
1315C23—44no—
1316C23—44no—
1317C23C2×C3×#4112yes—
1318C23C2×C3×#4112yes—
1319C23C2×C3×#4112yes—
1320C23C2×C3×#4112yes—
1321C23C2×C3×#4112yes—
1322C23C2×C3×#4112yes—
1323C23C3×2−1+412yes—
1324C23C25×C311yescharacteristic
1325Q8—44no—
1326D4—44no—
1327D4—44no—
1328D4—82no—
1329C2×C4—28no—
1330C2×C4—21no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—21no—
1334C2×C4—21no—
1335C2×C4—21no—
1336C2×C4—21no—
1337C2×C4—21no—
1338C2×C4—21no—
1339C2×C4—21no—
1340C2×C4—21no—
1341C2×C4—21no—
1342C2×C4—21no—
1343C2×C4—21no—
1344C2×C4—21no—
1345C2×C4—21no—
1346C2×C4—21no—
1347C2×C4—21no—
1348C2×C4—21no—
1349C2×C4—21no—
1350C2×C4—21no—
1351C2×C4—21no—
1352C2×C4—21no—
1353C2×C4—21no—
1354C2×C4—21no—
1355C2×C4—21no—
1356C2×C4—21no—
1357C2×C4—21no—
1358C2×C4—21no—
1359C2×C4—21no—
1360C2×C4—21no—
1361C2×C4—21no—
1362C2×C4—21no—
1363C2×C4—21no—
1364C2×C4—21no—
1365C2×C4—21no—
1366C2×C4—21no—
1367C2×C4—21no—
1368C2×C4—21no—
1369C2×C4—21no—
1370C2×C4—21no—
1371C2×C4—21no—
1372C2×C4—21no—
1373C2×C4—21no—
1374C2×C4—21no—
1375C2×C4—21no—
1376C2×C4—21no—
1377C2×C4—21no—
1378C2×C4—21no—
1379C2×C4—21no—
1380C2×C4—21no—
1381C2×C4—21no—
1382C2×C4—21no—
1383C2×C4—21no—
1384C2×C4—21no—
1385C2×C4—21no—
1386C2×C4—21no—
1387C2×C4—21no—
1388C2×C4—21no—
1389C2×C4—21no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—21no—
1400C2×C4—21no—
1401C2×C4—21no—
1402C2×C4—21no—
1403C2×C4—44no—
1404C2×C4—44no—
1405C2×C4—44no—
1406C2×C4—44no—
1407C2×C4—44no—
1408C2×C4—44no—
1409C2×C4—44no—
1410C2×C4—44no—
1411C2×C4—44no—
1412C2×C4—44no—
1413C2×C4—44no—
1414C2×C4—44no—
1415C2×C4—44no—
1416C2×C4—82no—
1417C2×C4C2×C3×#4112yes—
1418C2×C4C2×C3×#4112yes—
1419C2×C4C2×C3×#4112yes—
1420C2×C4C2×C3×#4112yes—
1421C2×C4C2×C3×#4112yes—
1422C2×C4C2×C3×#4112yes—
1423C2×C4C3×H(5,𝔽2)12yes—
1424C2×C4C3×H(5,𝔽2)12yes—
1425C2×C3—24no—
1426C2×C3—24no—
1427C2×C3—42no—
1428C2×C3—81no—
1429C2×C3C2×#52911yescharacteristic
1430C2×C3C2×#55211yescharacteristic
1431C2×C3#348111yescharacteristic
1432C2×C3#348111yescharacteristic
1433C2×C3#349011yescharacteristic
1434C2×C3#352011yescharacteristic
1435C2×C3#352011yescharacteristic
1436C22—22no—
1437C22—22no—
1438C22—22no—
1439C22—22no—
1440C22—22no—
1441C22—22no—
1442C22—22no—
1443C22—22no—
1444C22—22no—
1445C22—22no—
1446C22—22no—
1447C22—22no—
1448C22—22no—
1449C22—22no—
1450C22—22no—
1451C22—416no—
1452C22—41no—
1453C22—41no—
1454C22—41no—
1455C22—41no—
1456C22—41no—
1457C22—41no—
1458C22—41no—
1459C22—41no—
1460C22—41no—
1461C22—41no—
1462C22—41no—
1463C22C3×#52914yes—
1464C22C3×#55214yes—
1465C22C22×C3×#4111yescharacteristic
1466C22C22×C3×#4111yescharacteristic
1467C22C22×C3×#4111yescharacteristic
1468C22C22×C3×#4111yescharacteristic
1469C22C2×C3×H(5,𝔽2)11yescharacteristic
1470C22C2×C3×H(5,𝔽2)11yescharacteristic
1471C22C2×C3×2−1+411yescharacteristic
1472C4—22no—
1473C4—22no—
1474C4—22no—
1475C4—22no—
1476C4—22no—
1477C4—22no—
1478C4—22no—
1479C4—22no—
1480C4—41no—
1481C4—41no—
1482C4—41no—
1483C4—41no—
1484C4—41no—
1485C4—41no—
1486C4—41no—
1487C4—41no—
1488C4—41no—
1489C4—41no—
1490C4—41no—
1491C4—41no—
1492C4—41no—
1493C4—41no—
1494C4—41no—
1495C4—41no—
1496C4—41no—
1497C4—41no—
1498C4—41no—
1499C3#3624511yescharacteristic, direct product factor, Sylow
1500C2—24no—
1501C2—24no—
1502C2—42no—
1503C2—81no—
1504C2C2×C3×#52911yescharacteristic
1505C2C2×C3×#55211yescharacteristic
1506C2C3×#348111yescharacteristic
1507C2C3×#348111yescharacteristic
1508C2C3×#349011yescharacteristic
1509C2C3×#352011yescharacteristic
1510C2C3×#352011yescharacteristic
subgroupG/H
center, socleC23×C3C25
commutator, Frattini, cosocleC23C25×C3
prime radicalC2×C3×#120C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C3 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×#2852C2semidirect
2. C3×#2851C2semidirect
4. C3×#2575C2semidirect
5. C3×#2573C2semidirect
6. C3×#2558C2semidirect
7. C3×#2553C2semidirect
8. C3×#2527C2semidirect
9. C3×#2515C2semidirect
10. C3×#2510C2semidirect
11. C3×#2505C2semidirect
12. C3×#2505C2semidirect
13. C3×#2493C2semidirect
14. C3×#2488C2semidirect
15. C3×#2481C2semidirect
16. C3×#2473C2semidirect
17. C3×#2470C2semidirect
18. C3×#2458C2semidirect
19. C3×#2450C2semidirect
20. C3×#2437C2semidirect
22. C3×#2360C2semidirect
23. C3×#2359C2semidirect
25. C3×#2352C2semidirect
26. C3×#2343C2semidirect
27. C3×#2342C2semidirect
28. C3×C4×C22⋊Q8C2semidirect
29. C3×#2290C2semidirect
30. C2×C3×#385C2semidirect
31. C2×C3×C4×C22⋊C4C2semidirect
32. #36245C3direct (N × H)
34. C2×C3×#126C22semidirect
35. C2×C3×#125C22semidirect
42. C2×C3×C4×Q8C22semidirect
46. C2×C3×#117C22semidirect
55. C3×#401C22semidirect
56. C3×#400C22semidirect
57. C3×#400C22semidirect
58. C3×#400C22semidirect
59. C3×#400C22semidirect
60. C3×#400C22semidirect
61. C3×#400C22semidirect
62. C3×#400C22semidirect
63. C3×#400C22semidirect
65. C3×#398C22semidirect
66. C3×#398C22semidirect
67. C3×#398C22semidirect
70. C3×#397C22semidirect
71. C3×#397C22semidirect
74. C3×#396C22semidirect
78. C3×#393C22semidirect
79. C3×#391C22semidirect
80. C3×#391C22semidirect
82. C3×#389C22semidirect
83. C3×#389C22semidirect
84. C3×#389C22semidirect
85. C3×#389C22semidirect
86. C3×#389C22semidirect
93. C3×#388C22semidirect
94. C3×#388C22semidirect
95. C3×#388C22semidirect
96. C3×#388C22semidirect
97. C3×#388C22semidirect
98. C3×#388C22semidirect
99. C3×#388C22semidirect
100. C3×#387C22semidirect
101. C3×#387C22semidirect
102. C3×#387C22semidirect
103. C3×#387C22semidirect
104. C3×#387C22semidirect
105. C3×#387C22semidirect
106. C3×#387C22semidirect
107. C3×#387C22semidirect
108. C3×#387C22semidirect
109. C3×#387C22semidirect
110. C3×#387C22semidirect
111. C3×#387C22semidirect
112. C3×#387C22semidirect
113. C3×#387C22semidirect
114. C3×#387C22semidirect
115. C3×#387C22semidirect
116. C3×#387C22semidirect
148. C3×#385C22semidirect
149. C3×#383C22semidirect
150. C3×#383C22semidirect
151. C3×#382C22semidirect
152. C3×#382C22semidirect
153. C3×#382C22semidirect
163. C3×#380C22semidirect
165. C3×C4×C4⋊C4C22semidirect
166. C3×C4×C4⋊C4C22semidirect
167. C3×C4×C4⋊C4C22semidirect
168. C3×C4×C4⋊C4C22semidirect
182. C3×C4×C22⋊C4C22semidirect
183. C3×#376C22semidirect
188. #2852C2×C3semidirect
189. #2851C2×C3semidirect
191. #2575C2×C3semidirect
192. #2573C2×C3semidirect
193. #2558C2×C3semidirect
194. #2553C2×C3semidirect
195. #2527C2×C3semidirect
196. #2515C2×C3semidirect
197. #2510C2×C3semidirect
198. #2505C2×C3semidirect
199. #2505C2×C3semidirect
200. #2493C2×C3semidirect
201. #2488C2×C3semidirect
202. #2481C2×C3semidirect
203. #2473C2×C3semidirect
204. #2470C2×C3semidirect
205. #2458C2×C3semidirect
206. #2450C2×C3semidirect
207. #2437C2×C3semidirect
209. #2360C2×C3semidirect
210. #2359C2×C3semidirect
212. #2352C2×C3semidirect
213. #2343C2×C3semidirect
214. #2342C2×C3semidirect
215. C4×C22⋊Q8C2×C3semidirect
216. #2290C2×C3semidirect
217. C2×#385C2×C3semidirect
218. C2×C4×C22⋊C4C2×C3semidirect
399. C2×#126C22×C3semidirect
400. C2×#125C22×C3semidirect
407. C2×C4×Q8C22×C3semidirect
411. C2×#117C22×C3semidirect
420. #401C22×C3semidirect
421. #400C22×C3semidirect
422. #400C22×C3semidirect
423. #400C22×C3semidirect
424. #400C22×C3semidirect
425. #400C22×C3semidirect
426. #400C22×C3semidirect
427. #400C22×C3semidirect
428. #400C22×C3semidirect
430. #398C22×C3semidirect
431. #398C22×C3semidirect
432. #398C22×C3semidirect
435. #397C22×C3semidirect
436. #397C22×C3semidirect
439. #396C22×C3semidirect
443. #393C22×C3semidirect
444. #391C22×C3semidirect
445. #391C22×C3semidirect
447. #389C22×C3semidirect
448. #389C22×C3semidirect
449. #389C22×C3semidirect
450. #389C22×C3semidirect
451. #389C22×C3semidirect
458. #388C22×C3semidirect
459. #388C22×C3semidirect
460. #388C22×C3semidirect
461. #388C22×C3semidirect
462. #388C22×C3semidirect
463. #388C22×C3semidirect
464. #388C22×C3semidirect
465. #387C22×C3semidirect
466. #387C22×C3semidirect
467. #387C22×C3semidirect
468. #387C22×C3semidirect
469. #387C22×C3semidirect
470. #387C22×C3semidirect
471. #387C22×C3semidirect
472. #387C22×C3semidirect
473. #387C22×C3semidirect
474. #387C22×C3semidirect
475. #387C22×C3semidirect
476. #387C22×C3semidirect
477. #387C22×C3semidirect
478. #387C22×C3semidirect
479. #387C22×C3semidirect
480. #387C22×C3semidirect
481. #387C22×C3semidirect
513. #385C22×C3semidirect
514. #383C22×C3semidirect
515. #383C22×C3semidirect
516. #382C22×C3semidirect
517. #382C22×C3semidirect
518. #382C22×C3semidirect
528. #380C22×C3semidirect
530. C4×C4⋊C4C22×C3semidirect
531. C4×C4⋊C4C22×C3semidirect
532. C4×C4⋊C4C22×C3semidirect
533. C4×C4⋊C4C22×C3semidirect
547. C4×C22⋊C4C22×C3semidirect
548. #376C22×C3semidirect
1499. C3#36245direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#28522
C3×#28512
C3×#28492
C3×#25752
C3×#25732
C3×#25582
C3×#25532
C3×#25272
C3×#25152
C3×#25102
C3×#25052
C3×#24932
C3×#24882
C3×#24812
C3×#24732
C3×#24702
C3×#24582
C3×#24502
C3×#24372
C3×#24122
C3×#23602
C3×#23592
C3×#23582
C3×#23522
C3×#23432
C3×#23422
C3×C4×C22⋊Q82
C3×#22902
C2×C3×#3852
C2×C3×C4×C22⋊C42
#362453