Finite Group Databasebeta

← C3×#37245 #10655852

Subgroups — C3×#37245 #10655852

Order 768.

1996 conjugacy classes of subgroups.

The subgroup lattice has 1664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2865C211yesmaximal, characteristic, complemented
2C3×#2860C211yesmaximal, characteristic, complemented
3C3×#2803C211yesmaximal, characteristic, complemented
4C3×#2796C211yesmaximal, characteristic, complemented
5C3×#2793C211yesmaximal, characteristic, complemented
6C3×#2780C211yesmaximal, characteristic, complemented
7C3×#2718C211yesmaximal, characteristic, complemented
8C3×#2714C211yesmaximal, characteristic, complemented
9C3×#2714C211yesmaximal, characteristic, complemented
10C3×#2714C211yesmaximal, characteristic, complemented
11C3×#2705C211yesmaximal, characteristic, complemented
12C3×#2705C211yesmaximal, characteristic, complemented
13C3×#2691C211yesmaximal, characteristic, complemented
14C3×#2685C211yesmaximal, characteristic, complemented
15C3×#2678C211yesmaximal, characteristic, complemented
16C3×#2678C211yesmaximal, characteristic, complemented
17C3×#2673C211yesmaximal, characteristic, complemented
18C3×#2669C211yesmaximal, characteristic, complemented
19C3×#2635C211yesmaximal, characteristic, complemented
20C3×#2630C211yesmaximal, characteristic, complemented
21C3×#2467C211yesmaximal, characteristic, complemented
22C3×#2466C211yesmaximal, characteristic, complemented
23C3×#2456C211yesmaximal, characteristic, complemented
24C3×#2456C211yesmaximal, characteristic, complemented
25C3×#2444C211yesmaximal, characteristic, complemented
26C3×#2425C211yesmaximal, characteristic, complemented
27C3×#2424C211yesmaximal, characteristic, complemented
28C3×#2418C211yesmaximal, characteristic, complemented
29C3×#2325C211yesmaximal, characteristic, complemented
30C3×#2321C211yesmaximal, characteristic, complemented
31C3×C4×#127C211yesmaximal, characteristic, complemented
32#37245C311yesmaximal, characteristic, direct product factor, Sylow
33C2×C3×#127C2211yescharacteristic
34C2×C3×#126C2211yescharacteristic
35C2×C3×#126C2211yescharacteristic, complemented
36C2×C3×#126C2211yescharacteristic, complemented
37C2×C3×#126C2211yescharacteristic, complemented
38C2×C3×#123C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic
40C2×C3×#123C2211yescharacteristic
41C2×C3×#123C2211yescharacteristic, complemented
42C2×C3×#121C2211yescharacteristic
43C2×C3×#121C2211yescharacteristic
44C2×C3×#121C2211yescharacteristic
45C2×C3×#121C2211yescharacteristic
46C2×C3×#121C2211yescharacteristic
47C2×C3×#121C2211yescharacteristic
48C2×C3×#120C2211yescharacteristic
49C2×C3×#120C2211yescharacteristic
50C2×C3×#120C2211yescharacteristic
51C2×C3×#120C2211yescharacteristic
52C2×C3×C4×D4C2211yescharacteristic
53C2×C3×C4×D4C2211yescharacteristic
54C2×C3×C4×D4C2211yescharacteristic
55C2×C3×C4×D4C2211yescharacteristic, complemented
56C2×C3×C4×D4C2211yescharacteristic, complemented
57C2×C3×C4×D4C2211yescharacteristic, complemented
58C2×C3×C4×D4C2211yescharacteristic, complemented
59C22×C3×C22⋊C4C2211yescharacteristic
60C3×#400C2211yescharacteristic, complemented
61C3×#400C2211yescharacteristic, complemented
62C3×#399C2211yescharacteristic
63C3×#399C2211yescharacteristic
64C3×#399C2211yescharacteristic, complemented
65C3×#398C2211yescharacteristic, complemented
66C3×#398C2211yescharacteristic, complemented
67C3×#397C2211yescharacteristic
68C3×#397C2211yescharacteristic
69C3×#397C2211yescharacteristic
70C3×#397C2211yescharacteristic, complemented
71C3×#397C2211yescharacteristic, complemented
72C3×#397C2211yescharacteristic, complemented
73C3×#396C2211yescharacteristic
74C3×#396C2211yescharacteristic
75C3×#396C2211yescharacteristic
76C3×#396C2211yescharacteristic
77C3×#396C2211yescharacteristic, complemented
78C3×#396C2211yescharacteristic, complemented
79C3×#396C2211yescharacteristic, complemented
80C3×#394C2211yescharacteristic
81C3×#394C2211yescharacteristic
82C3×#394C2211yescharacteristic
83C3×#394C2211yescharacteristic
84C3×#394C2211yescharacteristic
85C3×#394C2211yescharacteristic
86C3×#394C2211yescharacteristic
87C3×#394C2211yescharacteristic
88C3×#394C2211yescharacteristic
89C3×#394C2211yescharacteristic
90C3×#394C2211yescharacteristic
91C3×#394C2211yescharacteristic
92C3×#394C2211yescharacteristic
93C3×#394C2211yescharacteristic
94C3×#394C2211yescharacteristic, complemented
95C3×#394C2211yescharacteristic, complemented
96C3×#392C2211yescharacteristic
97C3×#392C2211yescharacteristic
98C3×#392C2211yescharacteristic
99C3×#392C2211yescharacteristic
100C3×#392C2211yescharacteristic
101C3×#392C2211yescharacteristic
102C3×#392C2211yescharacteristic
103C3×#392C2211yescharacteristic
104C3×#392C2211yescharacteristic
105C3×#392C2211yescharacteristic, complemented
106C3×#392C2211yescharacteristic, complemented
107C3×#392C2211yescharacteristic, complemented
108C3×#390C2211yescharacteristic
109C3×#390C2211yescharacteristic
110C3×#390C2211yescharacteristic
111C3×#390C2211yescharacteristic
112C3×#390C2211yescharacteristic
113C3×#390C2211yescharacteristic
114C3×#390C2211yescharacteristic
115C3×#390C2211yescharacteristic
116C3×#390C2211yescharacteristic
117C3×#390C2211yescharacteristic, complemented
118C3×#390C2211yescharacteristic, complemented
119C3×#390C2211yescharacteristic, complemented
120C3×#390C2211yescharacteristic, complemented
121C3×#389C2211yescharacteristic, complemented
122C3×#389C2211yescharacteristic, complemented
123C3×#389C2211yescharacteristic, complemented
124C3×#389C2211yescharacteristic, complemented
125C3×#388C2211yescharacteristic
126C3×#388C2211yescharacteristic
127C3×#388C2211yescharacteristic
128C3×#388C2211yescharacteristic
129C3×#388C2211yescharacteristic
130C3×#388C2211yescharacteristic
131C3×#388C2211yescharacteristic
132C3×#388C2211yescharacteristic
133C3×#388C2211yescharacteristic
134C3×#388C2211yescharacteristic
135C3×#388C2211yescharacteristic
136C3×#388C2211yescharacteristic
137C3×#388C2211yescharacteristic
138C3×#388C2211yescharacteristic
139C3×#388C2211yescharacteristic, complemented
140C3×#388C2211yescharacteristic, complemented
141C3×#388C2211yescharacteristic, complemented
142C3×#388C2211yescharacteristic, complemented
143C3×#388C2211yescharacteristic, complemented
144C3×#388C2211yescharacteristic, complemented
145C3×#387C2211yescharacteristic, complemented
146C3×#387C2211yescharacteristic, complemented
147C3×#387C2211yescharacteristic, complemented
148C3×#387C2211yescharacteristic, complemented
149C3×#387C2211yescharacteristic, complemented
150C3×#387C2211yescharacteristic, complemented
151C3×#387C2211yescharacteristic, complemented
152C3×#387C2211yescharacteristic, complemented
153C3×#387C2211yescharacteristic, complemented
154C3×#387C2211yescharacteristic, complemented
155C3×#387C2211yescharacteristic, complemented
156C3×#386C2211yescharacteristic
157C3×#386C2211yescharacteristic
158C3×#386C2211yescharacteristic
159C3×#386C2211yescharacteristic
160C3×#386C2211yescharacteristic
161C3×#386C2211yescharacteristic
162C3×#386C2211yescharacteristic
163C3×#386C2211yescharacteristic
164C3×#386C2211yescharacteristic
165C3×#386C2211yescharacteristic
166C3×#386C2211yescharacteristic, complemented
167C3×#386C2211yescharacteristic, complemented
168C3×#386C2211yescharacteristic, complemented
169C3×#386C2211yescharacteristic, complemented
170C3×#385C2211yescharacteristic
171C3×#385C2211yescharacteristic
172C3×#385C2211yescharacteristic
173C3×#385C2211yescharacteristic, complemented
174C3×#385C2211yescharacteristic, complemented
175C3×#385C2211yescharacteristic, complemented
176C3×#385C2211yescharacteristic, complemented
177C3×#385C2211yescharacteristic, complemented
178C3×#384C2211yescharacteristic, complemented
179C3×#381C2211yescharacteristic, complemented
180C3×#380C2211yescharacteristic
181C3×#380C2211yescharacteristic, complemented
182C3×#380C2211yescharacteristic, complemented
183C3×#379C2211yescharacteristic
184C3×#379C2211yescharacteristic
185C3×C4×C22⋊C4C2211yescharacteristic
186C2×C3×#95C2211yescharacteristic, complemented
187C3×C43C2211yescharacteristic, complemented
188#2865C2×C311yescharacteristic, complemented
189#2860C2×C311yescharacteristic, complemented
190#2803C2×C311yescharacteristic, complemented
191#2796C2×C311yescharacteristic, complemented
192#2793C2×C311yescharacteristic, complemented
193#2780C2×C311yescharacteristic, complemented
194#2718C2×C311yescharacteristic, complemented
195#2714C2×C311yescharacteristic, complemented
196#2714C2×C311yescharacteristic, complemented
197#2714C2×C311yescharacteristic, complemented
198#2705C2×C311yescharacteristic, complemented
199#2705C2×C311yescharacteristic, complemented
200#2691C2×C311yescharacteristic, complemented
201#2685C2×C311yescharacteristic, complemented
202#2678C2×C311yescharacteristic, complemented
203#2678C2×C311yescharacteristic, complemented
204#2673C2×C311yescharacteristic, complemented
205#2669C2×C311yescharacteristic, complemented
206#2635C2×C311yescharacteristic, complemented
207#2630C2×C311yescharacteristic, complemented
208#2467C2×C311yescharacteristic, complemented
209#2466C2×C311yescharacteristic, complemented
210#2456C2×C311yescharacteristic, complemented
211#2456C2×C311yescharacteristic, complemented
212#2444C2×C311yescharacteristic, complemented
213#2425C2×C311yescharacteristic, complemented
214#2424C2×C311yescharacteristic, complemented
215#2418C2×C311yescharacteristic, complemented
216#2325C2×C311yescharacteristic, complemented
217#2321C2×C311yescharacteristic, complemented
218C4×#127C2×C311yescharacteristic, complemented
219C25×C3C2311yescharacteristic
220C22×C3×D4C2311yescharacteristic
221C22×C3×D4C2311yescharacteristic
222C22×C3×D4C2311yescharacteristic
223C22×C3×D4C2311yescharacteristic
224C22×C3×D4C2311yescharacteristic
225C22×C3×D4C2311yescharacteristic
226C22×C3×D4C2311yescharacteristic
227C22×C3×D4C2311yescharacteristic
228C22×C3×D4C2311yescharacteristic
229C22×C3×D4C2311yescharacteristic
230C22×C3×D4C2311yescharacteristic
231C22×C3×D4C2311yescharacteristic
232C22×C3×D4C2311yescharacteristic
233C22×C3×D4C2311yescharacteristic
234C22×C3×D4C2311yescharacteristic
235C22×C3×D4C2311yescharacteristic
236C22×C3×D4C2311yescharacteristic
237C22×C3×D4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C23×C3×C4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
242C23×C3×C4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C23×C3×C4C2311yescharacteristic
245C23×C3×C4C2311yescharacteristic
246C3×#127—24no—
247C3×#126—42no—
248C3×#126—42no—
249C3×#126—42no—
250C3×#126—42no—
251C3×#123—42no—
252C3×#123—42no—
253C3×#123—42no—
254C3×#123—42no—
255C3×#121—24no—
256C3×#121—42no—
257C3×#121—42no—
258C3×#121—42no—
259C3×#121—42no—
260C3×#121—42no—
261C3×#120—24no—
262C3×#120—42no—
263C3×#120—42no—
264C3×#120—42no—
265C3×C4×D4—42no—
266C3×C4×D4—42no—
267C3×C4×D4—42no—
268C3×C4×D4—42no—
269C3×C4×D4—42no—
270C3×C4×D4—42no—
271C3×C4×D4—42no—
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×C4⋊C4C2311yescharacteristic
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C4⋊C4C2311yescharacteristic
292C2×C3×C4⋊C4C2311yescharacteristic
293C2×C3×C4⋊C4C2311yescharacteristic
294C2×C3×C4⋊C4C2311yescharacteristic
295C2×C3×C4⋊C4C2311yescharacteristic
296C2×C3×C4⋊C4C2311yescharacteristic
297C2×C3×C4⋊C4C2311yescharacteristic
298C2×C3×C4⋊C4C2311yescharacteristic
299C2×C3×C4⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4—42no—
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×C22⋊C4C2311yescharacteristic
330C2×C3×C22⋊C4C2311yescharacteristic
331C2×C3×C22⋊C4C2311yescharacteristic
332C2×C3×C22⋊C4C2311yescharacteristic
333C2×C3×C22⋊C4C2311yescharacteristic
334C2×C3×C22⋊C4C2311yescharacteristic
335C2×C3×C22⋊C4C2311yescharacteristic
336C2×C3×C22⋊C4C2311yescharacteristic
337C2×C3×C22⋊C4C2311yescharacteristic
338C2×C3×C22⋊C4C2311yescharacteristic
339C2×C3×C22⋊C4C2311yescharacteristic
340C2×C3×C22⋊C4C2311yescharacteristic
341C2×C3×C22⋊C4C2311yescharacteristic
342C2×C3×C22⋊C4C2311yescharacteristic
343C2×C3×C22⋊C4C2311yescharacteristic
344C2×C3×C22⋊C4C2311yescharacteristic
345C2×C3×C22⋊C4C2311yescharacteristic
346C2×C3×C22⋊C4C2311yescharacteristic
347C2×C3×C22⋊C4C2311yescharacteristic
348C2×C3×C22⋊C4C2311yescharacteristic
349C2×C3×C22⋊C4C2311yescharacteristic
350C2×C3×C22⋊C4C2311yescharacteristic
351C2×C3×C22⋊C4C2311yescharacteristic
352C2×C3×C22⋊C4C2311yescharacteristic
353C2×C3×C22⋊C4C2311yescharacteristic
354C2×C3×C22⋊C4C2311yescharacteristic
355C2×C3×C22⋊C4C2311yescharacteristic
356C2×C3×C22⋊C4C2311yescharacteristic
357C2×C3×C22⋊C4C2311yescharacteristic
358C2×C3×C22⋊C4C2311yescharacteristic
359C2×C3×C42C2311yescharacteristic
360C2×C3×C42C2311yescharacteristic
361C2×C3×C42C2311yescharacteristic
362C2×C3×C42C2311yescharacteristic
363C2×C3×C42C2311yescharacteristic
364C2×C3×C42C2311yescharacteristic
365C2×C3×C42C2311yescharacteristic
366C2×C3×C42C2311yescharacteristic
367C2×C3×C42C2311yescharacteristic
368C2×C3×C42C2311yescharacteristic
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
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C2×#127C22×C311yescharacteristic
402C2×#126C22×C311yescharacteristic
403C2×#126C22×C311yescharacteristic, complemented
404C2×#126C22×C311yescharacteristic, complemented
405C2×#126C22×C311yescharacteristic, complemented
406C2×#123C22×C311yescharacteristic
407C2×#123C22×C311yescharacteristic
408C2×#123C22×C311yescharacteristic
409C2×#123C22×C311yescharacteristic, complemented
410C2×#121C22×C311yescharacteristic
411C2×#121C22×C311yescharacteristic
412C2×#121C22×C311yescharacteristic
413C2×#121C22×C311yescharacteristic
414C2×#121C22×C311yescharacteristic
415C2×#121C22×C311yescharacteristic
416C2×#120C22×C311yescharacteristic
417C2×#120C22×C311yescharacteristic
418C2×#120C22×C311yescharacteristic
419C2×#120C22×C311yescharacteristic
420C2×C4×D4C22×C311yescharacteristic
421C2×C4×D4C22×C311yescharacteristic
422C2×C4×D4C22×C311yescharacteristic
423C2×C4×D4C22×C311yescharacteristic, complemented
424C2×C4×D4C22×C311yescharacteristic, complemented
425C2×C4×D4C22×C311yescharacteristic, complemented
426C2×C4×D4C22×C311yescharacteristic, complemented
427C22×C22⋊C4C22×C311yescharacteristic
428#400C22×C311yescharacteristic, complemented
429#400C22×C311yescharacteristic, complemented
430#399C22×C311yescharacteristic
431#399C22×C311yescharacteristic
432#399C22×C311yescharacteristic, complemented
433#398C22×C311yescharacteristic, complemented
434#398C22×C311yescharacteristic, complemented
435#397C22×C311yescharacteristic
436#397C22×C311yescharacteristic
437#397C22×C311yescharacteristic
438#397C22×C311yescharacteristic, complemented
439#397C22×C311yescharacteristic, complemented
440#397C22×C311yescharacteristic, complemented
441#396C22×C311yescharacteristic
442#396C22×C311yescharacteristic
443#396C22×C311yescharacteristic
444#396C22×C311yescharacteristic
445#396C22×C311yescharacteristic, complemented
446#396C22×C311yescharacteristic, complemented
447#396C22×C311yescharacteristic, complemented
448#394C22×C311yescharacteristic
449#394C22×C311yescharacteristic
450#394C22×C311yescharacteristic
451#394C22×C311yescharacteristic
452#394C22×C311yescharacteristic
453#394C22×C311yescharacteristic
454#394C22×C311yescharacteristic
455#394C22×C311yescharacteristic
456#394C22×C311yescharacteristic
457#394C22×C311yescharacteristic
458#394C22×C311yescharacteristic
459#394C22×C311yescharacteristic
460#394C22×C311yescharacteristic
461#394C22×C311yescharacteristic
462#394C22×C311yescharacteristic, complemented
463#394C22×C311yescharacteristic, complemented
464#392C22×C311yescharacteristic
465#392C22×C311yescharacteristic
466#392C22×C311yescharacteristic
467#392C22×C311yescharacteristic
468#392C22×C311yescharacteristic
469#392C22×C311yescharacteristic
470#392C22×C311yescharacteristic
471#392C22×C311yescharacteristic
472#392C22×C311yescharacteristic
473#392C22×C311yescharacteristic, complemented
474#392C22×C311yescharacteristic, complemented
475#392C22×C311yescharacteristic, complemented
476#390C22×C311yescharacteristic
477#390C22×C311yescharacteristic
478#390C22×C311yescharacteristic
479#390C22×C311yescharacteristic
480#390C22×C311yescharacteristic
481#390C22×C311yescharacteristic
482#390C22×C311yescharacteristic
483#390C22×C311yescharacteristic
484#390C22×C311yescharacteristic
485#390C22×C311yescharacteristic, complemented
486#390C22×C311yescharacteristic, complemented
487#390C22×C311yescharacteristic, complemented
488#390C22×C311yescharacteristic, complemented
489#389C22×C311yescharacteristic, complemented
490#389C22×C311yescharacteristic, complemented
491#389C22×C311yescharacteristic, complemented
492#389C22×C311yescharacteristic, complemented
493#388C22×C311yescharacteristic
494#388C22×C311yescharacteristic
495#388C22×C311yescharacteristic
496#388C22×C311yescharacteristic
497#388C22×C311yescharacteristic
498#388C22×C311yescharacteristic
499#388C22×C311yescharacteristic
500#388C22×C311yescharacteristic
501#388C22×C311yescharacteristic
502#388C22×C311yescharacteristic
503#388C22×C311yescharacteristic
504#388C22×C311yescharacteristic
505#388C22×C311yescharacteristic
506#388C22×C311yescharacteristic
507#388C22×C311yescharacteristic, complemented
508#388C22×C311yescharacteristic, complemented
509#388C22×C311yescharacteristic, complemented
510#388C22×C311yescharacteristic, complemented
511#388C22×C311yescharacteristic, complemented
512#388C22×C311yescharacteristic, complemented
513#387C22×C311yescharacteristic, complemented
514#387C22×C311yescharacteristic, complemented
515#387C22×C311yescharacteristic, complemented
516#387C22×C311yescharacteristic, complemented
517#387C22×C311yescharacteristic, complemented
518#387C22×C311yescharacteristic, complemented
519#387C22×C311yescharacteristic, complemented
520#387C22×C311yescharacteristic, complemented
521#387C22×C311yescharacteristic, complemented
522#387C22×C311yescharacteristic, complemented
523#387C22×C311yescharacteristic, complemented
524#386C22×C311yescharacteristic
525#386C22×C311yescharacteristic
526#386C22×C311yescharacteristic
527#386C22×C311yescharacteristic
528#386C22×C311yescharacteristic
529#386C22×C311yescharacteristic
530#386C22×C311yescharacteristic
531#386C22×C311yescharacteristic
532#386C22×C311yescharacteristic
533#386C22×C311yescharacteristic
534#386C22×C311yescharacteristic, complemented
535#386C22×C311yescharacteristic, complemented
536#386C22×C311yescharacteristic, complemented
537#386C22×C311yescharacteristic, complemented
538#385C22×C311yescharacteristic
539#385C22×C311yescharacteristic
540#385C22×C311yescharacteristic
541#385C22×C311yescharacteristic, complemented
542#385C22×C311yescharacteristic, complemented
543#385C22×C311yescharacteristic, complemented
544#385C22×C311yescharacteristic, complemented
545#385C22×C311yescharacteristic, complemented
546#384C22×C311yescharacteristic, complemented
547#381C22×C311yescharacteristic, complemented
548#380C22×C311yescharacteristic
549#380C22×C311yescharacteristic, complemented
550#380C22×C311yescharacteristic, complemented
551#379C22×C311yescharacteristic
552#379C22×C311yescharacteristic
553C4×C22⋊C4C22×C311yescharacteristic
554C2×#95C22×C311yescharacteristic, complemented
555C43C22×C311yescharacteristic, complemented
556C24×C3—22no—
557C24×C3—41no—
558C24×C3—41no—
559C24×C3—41no—
560C24×C3—41no—
561C24×C3—41no—
562C24×C3—41no—
563C24×C3C2411yescharacteristic
564C24×C3C2411yescharacteristic
565C24×C3C2411yescharacteristic
566C24×C3C2411yescharacteristic
567C24×C3C2411yescharacteristic
568C24×C3C2411yescharacteristic
569C24×C3C2411yescharacteristic
570C2×C3×D4—22no—
571C2×C3×D4—22no—
572C2×C3×D4—22no—
573C2×C3×D4—22no—
574C2×C3×D4—22no—
575C2×C3×D4—22no—
576C2×C3×D4—22no—
577C2×C3×D4—22no—
578C2×C3×D4—22no—
579C2×C3×D4—22no—
580C2×C3×D4—22no—
581C2×C3×D4—22no—
582C2×C3×D4—22no—
583C2×C3×D4—22no—
584C2×C3×D4—41no—
585C2×C3×D4—41no—
586C2×C3×D4—41no—
587C2×C3×D4—41no—
588C2×C3×D4—41no—
589C2×C3×D4—41no—
590C2×C3×D4—41no—
591C2×C3×D4—41no—
592C2×C3×D4—41no—
593C2×C3×D4—41no—
594C2×C3×D4—41no—
595C2×C3×D4—41no—
596C2×C3×D4—41no—
597C2×C3×D4—41no—
598C2×C3×D4—41no—
599C2×C3×D4—41no—
600C2×C3×D4—41no—
601C2×C3×D4—41no—
602C2×C3×D4—41no—
603C2×C3×D4—41no—
604C2×C3×D4—41no—
605C2×C3×D4—41no—
606C2×C3×D4—41no—
607C2×C3×D4—41no—
608C2×C3×D4—41no—
609C2×C3×D4—41no—
610C2×C3×D4—41no—
611C2×C3×D4—41no—
612C2×C3×D4—41no—
613C2×C3×D4—41no—
614C2×C3×D4—41no—
615C2×C3×D4—41no—
616C2×C3×D4—41no—
617C2×C3×D4—41no—
618C2×C3×D4—41no—
619C2×C3×D4—41no—
620C2×C3×D4—41no—
621C2×C3×D4—41no—
622C2×C3×D4—41no—
623C2×C3×D4#4114yes—
624C22×C3×C4—22no—
625C22×C3×C4—22no—
626C22×C3×C4—22no—
627C22×C3×C4—22no—
628C22×C3×C4—22no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4—41no—
635C22×C3×C4—41no—
636C22×C3×C4—41no—
637C22×C3×C4—41no—
638C22×C3×C4—41no—
639C22×C3×C4—41no—
640C22×C3×C4—41no—
641C22×C3×C4—41no—
642C22×C3×C4—41no—
643C22×C3×C4—41no—
644C22×C3×C4—41no—
645C22×C3×C4—41no—
646C22×C3×C4—41no—
647C22×C3×C4—41no—
648C22×C3×C4C2411yescharacteristic
649C22×C3×C4C2411yescharacteristic
650C22×C3×C4C2411yescharacteristic
651C22×C3×C4C2411yescharacteristic
652C22×C3×C4C2411yescharacteristic
653C22×C3×C4C2411yescharacteristic
654C22×C3×C4C2411yescharacteristic
655C22×C3×C4C2411yescharacteristic
656C22×C3×C4C2411yescharacteristic
657C22×C3×C4C2411yescharacteristic
658C22×C3×C4C2411yescharacteristic
659C22×C3×C4C2411yescharacteristic
660C22×C3×C4C2411yescharacteristic
661C22×C3×C4C2411yescharacteristic
662C22×C3×C4C2411yescharacteristic
663C22×C3×C4C2411yescharacteristic
664C22×C3×C4C2411yescharacteristic
665C22×C3×C4C2411yescharacteristic
666C22×C3×C4C2411yescharacteristic
667C22×C3×C4C2411yescharacteristic
668C22×C3×C4C2411yescharacteristic
669C22×C3×C4C2411yescharacteristic
670C22×C3×C4C2411yescharacteristic
671C22×C3×C4C2411yescharacteristic
672C3×C4⋊C4—22no—
673C3×C4⋊C4—22no—
674C3×C4⋊C4—22no—
675C3×C4⋊C4—22no—
676C3×C4⋊C4—22no—
677C3×C4⋊C4—22no—
678C3×C4⋊C4—22no—
679C3×C4⋊C4—22no—
680C3×C4⋊C4—22no—
681C3×C4⋊C4—22no—
682C3×C4⋊C4—41no—
683C3×C4⋊C4—41no—
684C3×C4⋊C4—41no—
685C3×C4⋊C4—41no—
686C3×C4⋊C4—41no—
687C3×C4⋊C4—41no—
688C3×C4⋊C4—41no—
689C3×C4⋊C4—41no—
690C3×C4⋊C4—41no—
691C3×C4⋊C4—41no—
692C3×C4⋊C4—41no—
693C3×C4⋊C4—41no—
694C3×C4⋊C4—41no—
695C3×C4⋊C4—41no—
696C3×C4⋊C4—41no—
697C3×C4⋊C4—41no—
698C3×C4⋊C4—41no—
699C3×C4⋊C4—41no—
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—22no—
708C3×C22⋊C4—22no—
709C3×C22⋊C4—22no—
710C3×C22⋊C4—22no—
711C3×C22⋊C4—22no—
712C3×C22⋊C4—22no—
713C3×C22⋊C4—22no—
714C3×C22⋊C4—22no—
715C3×C22⋊C4—22no—
716C3×C22⋊C4—22no—
717C3×C22⋊C4—22no—
718C3×C22⋊C4—22no—
719C3×C22⋊C4—41no—
720C3×C22⋊C4—41no—
721C3×C22⋊C4—41no—
722C3×C22⋊C4—41no—
723C3×C22⋊C4—41no—
724C3×C22⋊C4—41no—
725C3×C22⋊C4—41no—
726C3×C22⋊C4—41no—
727C3×C22⋊C4—41no—
728C3×C22⋊C4—41no—
729C3×C22⋊C4—41no—
730C3×C22⋊C4—41no—
731C3×C22⋊C4—41no—
732C3×C22⋊C4—41no—
733C3×C22⋊C4—41no—
734C3×C22⋊C4—41no—
735C3×C22⋊C4—41no—
736C3×C22⋊C4—41no—
737C3×C22⋊C4—41no—
738C3×C22⋊C4—41no—
739C3×C22⋊C4—41no—
740C3×C22⋊C4—41no—
741C3×C22⋊C4—41no—
742C3×C22⋊C4—41no—
743C3×C22⋊C4—41no—
744C3×C22⋊C4—41no—
745C3×C22⋊C4—41no—
746C3×C22⋊C4—41no—
747C3×C22⋊C4—41no—
748C3×C22⋊C4—41no—
749C3×C22⋊C4—41no—
750C3×C22⋊C4—41no—
751C3×C22⋊C4—41no—
752C3×C22⋊C4—41no—
753C3×C22⋊C4—41no—
754C3×C22⋊C4—41no—
755C3×C22⋊C4—41no—
756C3×C22⋊C4—41no—
757C3×C22⋊C4—41no—
758C3×C42—22no—
759C3×C42—22no—
760C3×C42—22no—
761C3×C42—22no—
762C3×C42—22no—
763C3×C42—41no—
764C3×C42—41no—
765C3×C42—41no—
766C3×C42—41no—
767C3×C42—41no—
768C25C23×C311yescharacteristic
769C22×D4C23×C311yescharacteristic
770C22×D4C23×C311yescharacteristic
771C22×D4C23×C311yescharacteristic
772C22×D4C23×C311yescharacteristic
773C22×D4C23×C311yescharacteristic
774C22×D4C23×C311yescharacteristic
775C22×D4C23×C311yescharacteristic
776C22×D4C23×C311yescharacteristic
777C22×D4C23×C311yescharacteristic
778C22×D4C23×C311yescharacteristic
779C22×D4C23×C311yescharacteristic
780C22×D4C23×C311yescharacteristic
781C22×D4C23×C311yescharacteristic
782C22×D4C23×C311yescharacteristic
783C22×D4C23×C311yescharacteristic
784C22×D4C23×C311yescharacteristic
785C22×D4C23×C311yescharacteristic
786C22×D4C23×C311yescharacteristic
787C23×C4C23×C311yescharacteristic
788C23×C4C23×C311yescharacteristic
789C23×C4C23×C311yescharacteristic
790C23×C4C23×C311yescharacteristic
791C23×C4C23×C311yescharacteristic
792C23×C4C23×C311yescharacteristic
793C23×C4C23×C311yescharacteristic
794C23×C4C23×C311yescharacteristic
795#127—24no—
796#126—42no—
797#126—42no—
798#126—42no—
799#126—42no—
800#123—42no—
801#123—42no—
802#123—42no—
803#123—42no—
804#121—24no—
805#121—42no—
806#121—42no—
807#121—42no—
808#121—42no—
809#121—42no—
810#120—24no—
811#120—42no—
812#120—42no—
813#120—42no—
814C4×D4—42no—
815C4×D4—42no—
816C4×D4—42no—
817C4×D4—42no—
818C4×D4—42no—
819C4×D4—42no—
820C4×D4—42no—
821C2×C4⋊C4C23×C311yescharacteristic
822C2×C4⋊C4C23×C311yescharacteristic
823C2×C4⋊C4C23×C311yescharacteristic
824C2×C4⋊C4C23×C311yescharacteristic
825C2×C4⋊C4C23×C311yescharacteristic
826C2×C4⋊C4C23×C311yescharacteristic
827C2×C4⋊C4C23×C311yescharacteristic
828C2×C4⋊C4C23×C311yescharacteristic
829C2×C4⋊C4C23×C311yescharacteristic
830C2×C4⋊C4C23×C311yescharacteristic
831C2×C4⋊C4C23×C311yescharacteristic
832C2×C4⋊C4C23×C311yescharacteristic
833C2×C4⋊C4C23×C311yescharacteristic
834C2×C4⋊C4C23×C311yescharacteristic
835C2×C4⋊C4C23×C311yescharacteristic
836C2×C4⋊C4C23×C311yescharacteristic
837C2×C4⋊C4C23×C311yescharacteristic
838C2×C4⋊C4C23×C311yescharacteristic
839C2×C4⋊C4C23×C311yescharacteristic
840C2×C4⋊C4C23×C311yescharacteristic
841C2×C4⋊C4C23×C311yescharacteristic
842C2×C4⋊C4C23×C311yescharacteristic
843C2×C4⋊C4C23×C311yescharacteristic
844C2×C4⋊C4C23×C311yescharacteristic
845C2×C4⋊C4C23×C311yescharacteristic
846C2×C4⋊C4C23×C311yescharacteristic
847C2×C4⋊C4C23×C311yescharacteristic
848C2×C4⋊C4C23×C311yescharacteristic
849C2×C22⋊C4—42no—
850C2×C22⋊C4C23×C311yescharacteristic
851C2×C22⋊C4C23×C311yescharacteristic
852C2×C22⋊C4C23×C311yescharacteristic
853C2×C22⋊C4C23×C311yescharacteristic
854C2×C22⋊C4C23×C311yescharacteristic
855C2×C22⋊C4C23×C311yescharacteristic
856C2×C22⋊C4C23×C311yescharacteristic
857C2×C22⋊C4C23×C311yescharacteristic
858C2×C22⋊C4C23×C311yescharacteristic
859C2×C22⋊C4C23×C311yescharacteristic
860C2×C22⋊C4C23×C311yescharacteristic
861C2×C22⋊C4C23×C311yescharacteristic
862C2×C22⋊C4C23×C311yescharacteristic
863C2×C22⋊C4C23×C311yescharacteristic
864C2×C22⋊C4C23×C311yescharacteristic
865C2×C22⋊C4C23×C311yescharacteristic
866C2×C22⋊C4C23×C311yescharacteristic
867C2×C22⋊C4C23×C311yescharacteristic
868C2×C22⋊C4C23×C311yescharacteristic
869C2×C22⋊C4C23×C311yescharacteristic
870C2×C22⋊C4C23×C311yescharacteristic
871C2×C22⋊C4C23×C311yescharacteristic
872C2×C22⋊C4C23×C311yescharacteristic
873C2×C22⋊C4C23×C311yescharacteristic
874C2×C22⋊C4C23×C311yescharacteristic
875C2×C22⋊C4C23×C311yescharacteristic
876C2×C22⋊C4C23×C311yescharacteristic
877C2×C22⋊C4C23×C311yescharacteristic
878C2×C22⋊C4C23×C311yescharacteristic
879C2×C22⋊C4C23×C311yescharacteristic
880C2×C22⋊C4C23×C311yescharacteristic
881C2×C22⋊C4C23×C311yescharacteristic
882C2×C22⋊C4C23×C311yescharacteristic
883C2×C22⋊C4C23×C311yescharacteristic
884C2×C22⋊C4C23×C311yescharacteristic
885C2×C22⋊C4C23×C311yescharacteristic
886C2×C22⋊C4C23×C311yescharacteristic
887C2×C22⋊C4C23×C311yescharacteristic
888C2×C22⋊C4C23×C311yescharacteristic
889C2×C22⋊C4C23×C311yescharacteristic
890C2×C22⋊C4C23×C311yescharacteristic
891C2×C22⋊C4C23×C311yescharacteristic
892C2×C22⋊C4C23×C311yescharacteristic
893C2×C22⋊C4C23×C311yescharacteristic
894C2×C22⋊C4C23×C311yescharacteristic
895C2×C22⋊C4C23×C311yescharacteristic
896C2×C22⋊C4C23×C311yescharacteristic
897C2×C22⋊C4C23×C311yescharacteristic
898C2×C22⋊C4C23×C311yescharacteristic
899C2×C22⋊C4C23×C311yescharacteristic
900C2×C22⋊C4C23×C311yescharacteristic
901C2×C22⋊C4C23×C311yescharacteristic
902C2×C22⋊C4C23×C311yescharacteristic
903C2×C22⋊C4C23×C311yescharacteristic
904C2×C22⋊C4C23×C311yescharacteristic
905C2×C22⋊C4C23×C311yescharacteristic
906C2×C22⋊C4C23×C311yescharacteristic
907C2×C22⋊C4C23×C311yescharacteristic
908C2×C42C23×C311yescharacteristic
909C2×C42C23×C311yescharacteristic
910C2×C42C23×C311yescharacteristic
911C2×C42C23×C311yescharacteristic
912C2×C42C23×C311yescharacteristic
913C2×C42C23×C311yescharacteristic
914C2×C42C23×C311yescharacteristic
915C2×C42C23×C311yescharacteristic
916C2×C42C23×C311yescharacteristic
917C2×C42C23×C311yescharacteristic
918#95C23×C311yescharacteristic
919#95C23×C311yescharacteristic
920#95C23×C311yescharacteristic
921#95C23×C311yescharacteristic
922#95C23×C311yescharacteristic
923#95C23×C311yescharacteristic
924#95C23×C311yescharacteristic
925#95C23×C311yescharacteristic
926#95C23×C311yescharacteristic
927#95C23×C311yescharacteristic
928#95C23×C311yescharacteristic
929#95C23×C311yescharacteristic
930#95C23×C311yescharacteristic
931#95C23×C311yescharacteristic
932#95C23×C311yescharacteristic
933#95C23×C311yescharacteristic
934#95C23×C311yescharacteristic
935#95C23×C311yescharacteristic
936#95C23×C311yescharacteristic
937#95C23×C311yescharacteristic
938#95C23×C311yescharacteristic
939#95C23×C311yescharacteristic
940#95C23×C311yescharacteristic
941#95C23×C311yescharacteristic
942#95C23×C311yescharacteristic
943#95C23×C311yescharacteristic
944#95C23×C311yescharacteristic
945#95C23×C311yescharacteristic
946#95C23×C311yescharacteristic
947#95C23×C311yescharacteristic
948#95C23×C311yescharacteristic
949#95C23×C311yescharacteristic
950C23×C3—21no—
951C23×C3—21no—
952C23×C3—21no—
953C23×C3—21no—
954C23×C3—21no—
955C23×C3—21no—
956C23×C3—21no—
957C23×C3—21no—
958C23×C3—21no—
959C23×C3—21no—
960C23×C3—21no—
961C23×C3—21no—
962C23×C3—21no—
963C23×C3—21no—
964C23×C3—21no—
965C23×C3—21no—
966C23×C3—21no—
967C23×C3—21no—
968C23×C3—21no—
969C23×C3—21no—
970C23×C3—21no—
971C23×C3—21no—
972C23×C3—21no—
973C23×C3—21no—
974C23×C3—21no—
975C23×C3—21no—
976C23×C3—21no—
977C23×C3—21no—
978C23×C3—21no—
979C23×C3—21no—
980C23×C3—21no—
981C23×C3—21no—
982C23×C3—21no—
983C23×C3—21no—
984C23×C3—21no—
985C23×C3—21no—
986C23×C3—21no—
987C23×C3—21no—
988C23×C3—21no—
989C23×C3—21no—
990C23×C3—21no—
991C23×C3—21no—
992C23×C3—21no—
993C23×C3—21no—
994C23×C3—21no—
995C23×C3—21no—
996C23×C3—21no—
997C23×C3—44no—
998C23×C3—82no—
999C23×C3—82no—
1000C23×C3—82no—
1001C23×C3—82no—
1002C23×C3—82no—
1003C23×C3—82no—
1004C23×C3C2×#4112yes—
1005C23×C3C2×#4112yes—
1006C23×C3C2511yescharacteristic
1007C3×D4—44no—
1008C3×D4—44no—
1009C3×D4—44no—
1010C3×D4—44no—
1011C3×D4—44no—
1012C3×D4—44no—
1013C3×D4—44no—
1014C3×D4—82no—
1015C3×D4—82no—
1016C3×D4—82no—
1017C3×D4—82no—
1018C3×D4—82no—
1019C3×D4—82no—
1020C3×D4—82no—
1021C3×D4—82no—
1022C3×D4—82no—
1023C3×D4—82no—
1024C3×D4—82no—
1025C2×C3×C4—21no—
1026C2×C3×C4—21no—
1027C2×C3×C4—21no—
1028C2×C3×C4—21no—
1029C2×C3×C4—21no—
1030C2×C3×C4—21no—
1031C2×C3×C4—21no—
1032C2×C3×C4—21no—
1033C2×C3×C4—21no—
1034C2×C3×C4—21no—
1035C2×C3×C4—21no—
1036C2×C3×C4—21no—
1037C2×C3×C4—21no—
1038C2×C3×C4—21no—
1039C2×C3×C4—21no—
1040C2×C3×C4—21no—
1041C2×C3×C4—21no—
1042C2×C3×C4—21no—
1043C2×C3×C4—21no—
1044C2×C3×C4—21no—
1045C2×C3×C4—21no—
1046C2×C3×C4—21no—
1047C2×C3×C4—21no—
1048C2×C3×C4—21no—
1049C2×C3×C4—21no—
1050C2×C3×C4—21no—
1051C2×C3×C4—21no—
1052C2×C3×C4—21no—
1053C2×C3×C4—21no—
1054C2×C3×C4—21no—
1055C2×C3×C4—21no—
1056C2×C3×C4—21no—
1057C2×C3×C4—21no—
1058C2×C3×C4—21no—
1059C2×C3×C4—21no—
1060C2×C3×C4—21no—
1061C2×C3×C4—21no—
1062C2×C3×C4—21no—
1063C2×C3×C4—21no—
1064C2×C3×C4—21no—
1065C2×C3×C4—21no—
1066C2×C3×C4—21no—
1067C2×C3×C4—21no—
1068C2×C3×C4—21no—
1069C2×C3×C4—21no—
1070C2×C3×C4—21no—
1071C2×C3×C4—21no—
1072C2×C3×C4—21no—
1073C2×C3×C4—21no—
1074C2×C3×C4—21no—
1075C2×C3×C4—21no—
1076C2×C3×C4—21no—
1077C2×C3×C4—21no—
1078C2×C3×C4—21no—
1079C2×C3×C4—21no—
1080C2×C3×C4—21no—
1081C2×C3×C4—21no—
1082C2×C3×C4—21no—
1083C2×C3×C4—21no—
1084C2×C3×C4—21no—
1085C2×C3×C4—21no—
1086C2×C3×C4—21no—
1087C2×C3×C4—21no—
1088C2×C3×C4—21no—
1089C2×C3×C4—21no—
1090C2×C3×C4—21no—
1091C2×C3×C4—21no—
1092C2×C3×C4—82no—
1093C2×C3×C4—82no—
1094C2×C3×C4—82no—
1095C2×C3×C4—82no—
1096C2×C3×C4—82no—
1097C2×C3×C4—82no—
1098C2×C3×C4—82no—
1099C2×C3×C4—82no—
1100C2×C3×C4C2×#4112yes—
1101C2×C3×C4H(5,𝔽2)12yes—
1102C2×C3×C4H(5,𝔽2)12yes—
1103C2×C3×C4H(5,𝔽2)12yes—
1104C2×C3×C4H(5,𝔽2)12yes—
1105C24—22no—
1106C24—41no—
1107C24—41no—
1108C24—41no—
1109C24—41no—
1110C24—41no—
1111C24—41no—
1112C24C24×C311yescharacteristic
1113C24C24×C311yescharacteristic
1114C24C24×C311yescharacteristic
1115C24C24×C311yescharacteristic
1116C24C24×C311yescharacteristic
1117C24C24×C311yescharacteristic
1118C24C24×C311yescharacteristic
1119C2×D4—22no—
1120C2×D4—22no—
1121C2×D4—22no—
1122C2×D4—22no—
1123C2×D4—22no—
1124C2×D4—22no—
1125C2×D4—22no—
1126C2×D4—22no—
1127C2×D4—22no—
1128C2×D4—22no—
1129C2×D4—22no—
1130C2×D4—22no—
1131C2×D4—22no—
1132C2×D4—22no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—41no—
1142C2×D4—41no—
1143C2×D4—41no—
1144C2×D4—41no—
1145C2×D4—41no—
1146C2×D4—41no—
1147C2×D4—41no—
1148C2×D4—41no—
1149C2×D4—41no—
1150C2×D4—41no—
1151C2×D4—41no—
1152C2×D4—41no—
1153C2×D4—41no—
1154C2×D4—41no—
1155C2×D4—41no—
1156C2×D4—41no—
1157C2×D4—41no—
1158C2×D4—41no—
1159C2×D4—41no—
1160C2×D4—41no—
1161C2×D4—41no—
1162C2×D4—41no—
1163C2×D4—41no—
1164C2×D4—41no—
1165C2×D4—41no—
1166C2×D4—41no—
1167C2×D4—41no—
1168C2×D4—41no—
1169C2×D4—41no—
1170C2×D4—41no—
1171C2×D4—41no—
1172C2×D4C3×#4114yes—
1173C22×C4—22no—
1174C22×C4—22no—
1175C22×C4—22no—
1176C22×C4—22no—
1177C22×C4—22no—
1178C22×C4—41no—
1179C22×C4—41no—
1180C22×C4—41no—
1181C22×C4—41no—
1182C22×C4—41no—
1183C22×C4—41no—
1184C22×C4—41no—
1185C22×C4—41no—
1186C22×C4—41no—
1187C22×C4—41no—
1188C22×C4—41no—
1189C22×C4—41no—
1190C22×C4—41no—
1191C22×C4—41no—
1192C22×C4—41no—
1193C22×C4—41no—
1194C22×C4—41no—
1195C22×C4—41no—
1196C22×C4—41no—
1197C22×C4C24×C311yescharacteristic
1198C22×C4C24×C311yescharacteristic
1199C22×C4C24×C311yescharacteristic
1200C22×C4C24×C311yescharacteristic
1201C22×C4C24×C311yescharacteristic
1202C22×C4C24×C311yescharacteristic
1203C22×C4C24×C311yescharacteristic
1204C22×C4C24×C311yescharacteristic
1205C22×C4C24×C311yescharacteristic
1206C22×C4C24×C311yescharacteristic
1207C22×C4C24×C311yescharacteristic
1208C22×C4C24×C311yescharacteristic
1209C22×C4C24×C311yescharacteristic
1210C22×C4C24×C311yescharacteristic
1211C22×C4C24×C311yescharacteristic
1212C22×C4C24×C311yescharacteristic
1213C22×C4C24×C311yescharacteristic
1214C22×C4C24×C311yescharacteristic
1215C22×C4C24×C311yescharacteristic
1216C22×C4C24×C311yescharacteristic
1217C22×C4C24×C311yescharacteristic
1218C22×C4C24×C311yescharacteristic
1219C22×C4C24×C311yescharacteristic
1220C22×C4C24×C311yescharacteristic
1221C4⋊C4—22no—
1222C4⋊C4—22no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—22no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—22no—
1229C4⋊C4—22no—
1230C4⋊C4—22no—
1231C4⋊C4—41no—
1232C4⋊C4—41no—
1233C4⋊C4—41no—
1234C4⋊C4—41no—
1235C4⋊C4—41no—
1236C4⋊C4—41no—
1237C4⋊C4—41no—
1238C4⋊C4—41no—
1239C4⋊C4—41no—
1240C4⋊C4—41no—
1241C4⋊C4—41no—
1242C4⋊C4—41no—
1243C4⋊C4—41no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C22⋊C4—22no—
1250C22⋊C4—22no—
1251C22⋊C4—22no—
1252C22⋊C4—22no—
1253C22⋊C4—22no—
1254C22⋊C4—22no—
1255C22⋊C4—22no—
1256C22⋊C4—22no—
1257C22⋊C4—22no—
1258C22⋊C4—22no—
1259C22⋊C4—22no—
1260C22⋊C4—22no—
1261C22⋊C4—22no—
1262C22⋊C4—22no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4—41no—
1271C22⋊C4—41no—
1272C22⋊C4—41no—
1273C22⋊C4—41no—
1274C22⋊C4—41no—
1275C22⋊C4—41no—
1276C22⋊C4—41no—
1277C22⋊C4—41no—
1278C22⋊C4—41no—
1279C22⋊C4—41no—
1280C22⋊C4—41no—
1281C22⋊C4—41no—
1282C22⋊C4—41no—
1283C22⋊C4—41no—
1284C22⋊C4—41no—
1285C22⋊C4—41no—
1286C22⋊C4—41no—
1287C22⋊C4—41no—
1288C22⋊C4—41no—
1289C22⋊C4—41no—
1290C22⋊C4—41no—
1291C22⋊C4—41no—
1292C22⋊C4—41no—
1293C22⋊C4—41no—
1294C22⋊C4—41no—
1295C22⋊C4—41no—
1296C22⋊C4—41no—
1297C22⋊C4—41no—
1298C22⋊C4—41no—
1299C22⋊C4—41no—
1300C22⋊C4—41no—
1301C22⋊C4—41no—
1302C22⋊C4—41no—
1303C22⋊C4—41no—
1304C22⋊C4—41no—
1305C22⋊C4—41no—
1306C22⋊C4—41no—
1307C42—22no—
1308C42—22no—
1309C42—22no—
1310C42—22no—
1311C42—22no—
1312C42—41no—
1313C42—41no—
1314C42—41no—
1315C42—41no—
1316C42—41no—
1317C22×C3—22no—
1318C22×C3—22no—
1319C22×C3—22no—
1320C22×C3—22no—
1321C22×C3—22no—
1322C22×C3—22no—
1323C22×C3—41no—
1324C22×C3—41no—
1325C22×C3—41no—
1326C22×C3—41no—
1327C22×C3—41no—
1328C22×C3—41no—
1329C22×C3—41no—
1330C22×C3—41no—
1331C22×C3—41no—
1332C22×C3—41no—
1333C22×C3—41no—
1334C22×C3—41no—
1335C22×C3—41no—
1336C22×C3—41no—
1337C22×C3—41no—
1338C22×C3—41no—
1339C22×C3—41no—
1340C22×C3—41no—
1341C22×C3—41no—
1342C22×C3—41no—
1343C22×C3—41no—
1344C22×C3—41no—
1345C22×C3—41no—
1346C22×C3—41no—
1347C22×C3—41no—
1348C22×C3—41no—
1349C22×C3—41no—
1350C22×C3—41no—
1351C22×C3—41no—
1352C22×C3—41no—
1353C22×C3—41no—
1354C22×C3—41no—
1355C22×C3—41no—
1356C22×C3—41no—
1357C22×C3—41no—
1358C22×C3—41no—
1359C22×C3—41no—
1360C22×C3—41no—
1361C22×C3—41no—
1362C22×C3—41no—
1363C22×C3—41no—
1364C22×C3—41no—
1365C22×C3—41no—
1366C22×C3—88no—
1367C22×C3C22×#4111yescharacteristic
1368C22×C3C2×H(5,𝔽2)11yescharacteristic
1369C22×C3C2×H(5,𝔽2)11yescharacteristic
1370C22×C3C2×H(5,𝔽2)11yescharacteristic
1371C22×C3C2×H(5,𝔽2)11yescharacteristic
1372C22×C3#58511yescharacteristic
1373C22×C3#58511yescharacteristic
1374C3×C4—22no—
1375C3×C4—22no—
1376C3×C4—22no—
1377C3×C4—22no—
1378C3×C4—22no—
1379C3×C4—41no—
1380C3×C4—41no—
1381C3×C4—41no—
1382C3×C4—41no—
1383C3×C4—41no—
1384C3×C4—41no—
1385C3×C4—41no—
1386C3×C4—41no—
1387C3×C4—41no—
1388C3×C4—41no—
1389C3×C4—41no—
1390C3×C4—41no—
1391C3×C4—41no—
1392C3×C4—41no—
1393C3×C4—41no—
1394C3×C4—41no—
1395C3×C4—41no—
1396C3×C4—41no—
1397C3×C4—41no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—44no—
1446C23—82no—
1447C23—82no—
1448C23—82no—
1449C23—82no—
1450C23—82no—
1451C23—82no—
1452C23C2×C3×#4112yes—
1453C23C2×C3×#4112yes—
1454C23C25×C311yescharacteristic
1455D4—44no—
1456D4—44no—
1457D4—44no—
1458D4—44no—
1459D4—44no—
1460D4—44no—
1461D4—44no—
1462D4—82no—
1463D4—82no—
1464D4—82no—
1465D4—82no—
1466D4—82no—
1467D4—82no—
1468D4—82no—
1469D4—82no—
1470D4—82no—
1471D4—82no—
1472D4—82no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—82no—
1541C2×C4—82no—
1542C2×C4—82no—
1543C2×C4—82no—
1544C2×C4—82no—
1545C2×C4—82no—
1546C2×C4—82no—
1547C2×C4—82no—
1548C2×C4C2×C3×#4112yes—
1549C2×C4C3×H(5,𝔽2)12yes—
1550C2×C4C3×H(5,𝔽2)12yes—
1551C2×C4C3×H(5,𝔽2)12yes—
1552C2×C4C3×H(5,𝔽2)12yes—
1553C2×C3—42no—
1554C2×C3—42no—
1555C2×C3—81no—
1556C2×C3—81no—
1557C2×C3—81no—
1558C2×C3—81no—
1559C2×C3—81no—
1560C2×C3#345911yescharacteristic
1561C2×C3#351311yescharacteristic
1562C2×C3#351911yescharacteristic
1563C2×C3#354311yescharacteristic
1564C2×C3#354611yescharacteristic
1565C2×C3#354611yescharacteristic
1566C2×C3#356011yescharacteristic
1567C22—22no—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—41no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—41no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—41no—
1587C22—41no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—88no—
1617C22C22×C3×#4111yescharacteristic
1618C22C2×C3×H(5,𝔽2)11yescharacteristic
1619C22C2×C3×H(5,𝔽2)11yescharacteristic
1620C22C2×C3×H(5,𝔽2)11yescharacteristic
1621C22C2×C3×H(5,𝔽2)11yescharacteristic
1622C22C3×#58511yescharacteristic
1623C22C3×#58511yescharacteristic
1624C4—22no—
1625C4—22no—
1626C4—22no—
1627C4—22no—
1628C4—22no—
1629C4—41no—
1630C4—41no—
1631C4—41no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C3#3724511yescharacteristic, direct product factor, Sylow
1649C2—42no—
1650C2—42no—
1651C2—81no—
1652C2—81no—
1653C2—81no—
1654C2—81no—
1655C2—81no—
1656C2C3×#345911yescharacteristic
1657C2C3×#351311yescharacteristic
1658C2C3×#351911yescharacteristic
1659C2C3×#354311yescharacteristic
1660C2C3×#354611yescharacteristic
1661C2C3×#354611yescharacteristic
1662C2C3×#356011yescharacteristic
subgroupG/H
center, socleC23×C3C25
commutator, Frattini, cosocleC23C25×C3
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C3 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×#2865C2semidirect
2. C3×#2860C2semidirect
3. C3×#2803C2semidirect
4. C3×#2796C2semidirect
5. C3×#2793C2semidirect
6. C3×#2780C2semidirect
7. C3×#2718C2semidirect
8. C3×#2714C2semidirect
9. C3×#2714C2semidirect
10. C3×#2714C2semidirect
11. C3×#2705C2semidirect
12. C3×#2705C2semidirect
13. C3×#2691C2semidirect
14. C3×#2685C2semidirect
15. C3×#2678C2semidirect
16. C3×#2678C2semidirect
17. C3×#2673C2semidirect
18. C3×#2669C2semidirect
19. C3×#2635C2semidirect
20. C3×#2630C2semidirect
21. C3×#2467C2semidirect
22. C3×#2466C2semidirect
23. C3×#2456C2semidirect
24. C3×#2456C2semidirect
25. C3×#2444C2semidirect
26. C3×#2425C2semidirect
27. C3×#2424C2semidirect
28. C3×#2418C2semidirect
29. C3×#2325C2semidirect
30. C3×#2321C2semidirect
31. C3×C4×#127C2semidirect
32. #37245C3direct (N × H)
35. C2×C3×#126C22semidirect
36. C2×C3×#126C22semidirect
37. C2×C3×#126C22semidirect
41. C2×C3×#123C22semidirect
55. C2×C3×C4×D4C22semidirect
56. C2×C3×C4×D4C22semidirect
57. C2×C3×C4×D4C22semidirect
58. C2×C3×C4×D4C22semidirect
60. C3×#400C22semidirect
61. C3×#400C22semidirect
64. C3×#399C22semidirect
65. C3×#398C22semidirect
66. C3×#398C22semidirect
70. C3×#397C22semidirect
71. C3×#397C22semidirect
72. C3×#397C22semidirect
77. C3×#396C22semidirect
78. C3×#396C22semidirect
79. C3×#396C22semidirect
94. C3×#394C22semidirect
95. C3×#394C22semidirect
105. C3×#392C22semidirect
106. C3×#392C22semidirect
107. C3×#392C22semidirect
117. C3×#390C22semidirect
118. C3×#390C22semidirect
119. C3×#390C22semidirect
120. C3×#390C22semidirect
121. C3×#389C22semidirect
122. C3×#389C22semidirect
123. C3×#389C22semidirect
124. C3×#389C22semidirect
139. C3×#388C22semidirect
140. C3×#388C22semidirect
141. C3×#388C22semidirect
142. C3×#388C22semidirect
143. C3×#388C22semidirect
144. C3×#388C22semidirect
145. C3×#387C22semidirect
146. C3×#387C22semidirect
147. C3×#387C22semidirect
148. C3×#387C22semidirect
149. C3×#387C22semidirect
150. C3×#387C22semidirect
151. C3×#387C22semidirect
152. C3×#387C22semidirect
153. C3×#387C22semidirect
154. C3×#387C22semidirect
155. C3×#387C22semidirect
166. C3×#386C22semidirect
167. C3×#386C22semidirect
168. C3×#386C22semidirect
169. C3×#386C22semidirect
173. C3×#385C22semidirect
174. C3×#385C22semidirect
175. C3×#385C22semidirect
176. C3×#385C22semidirect
177. C3×#385C22semidirect
178. C3×#384C22semidirect
179. C3×#381C22semidirect
181. C3×#380C22semidirect
182. C3×#380C22semidirect
186. C2×C3×#95C22semidirect
187. C3×C43C22semidirect
188. #2865C2×C3semidirect
189. #2860C2×C3semidirect
190. #2803C2×C3semidirect
191. #2796C2×C3semidirect
192. #2793C2×C3semidirect
193. #2780C2×C3semidirect
194. #2718C2×C3semidirect
195. #2714C2×C3semidirect
196. #2714C2×C3semidirect
197. #2714C2×C3semidirect
198. #2705C2×C3semidirect
199. #2705C2×C3semidirect
200. #2691C2×C3semidirect
201. #2685C2×C3semidirect
202. #2678C2×C3semidirect
203. #2678C2×C3semidirect
204. #2673C2×C3semidirect
205. #2669C2×C3semidirect
206. #2635C2×C3semidirect
207. #2630C2×C3semidirect
208. #2467C2×C3semidirect
209. #2466C2×C3semidirect
210. #2456C2×C3semidirect
211. #2456C2×C3semidirect
212. #2444C2×C3semidirect
213. #2425C2×C3semidirect
214. #2424C2×C3semidirect
215. #2418C2×C3semidirect
216. #2325C2×C3semidirect
217. #2321C2×C3semidirect
218. C4×#127C2×C3semidirect
403. C2×#126C22×C3semidirect
404. C2×#126C22×C3semidirect
405. C2×#126C22×C3semidirect
409. C2×#123C22×C3semidirect
423. C2×C4×D4C22×C3semidirect
424. C2×C4×D4C22×C3semidirect
425. C2×C4×D4C22×C3semidirect
426. C2×C4×D4C22×C3semidirect
428. #400C22×C3semidirect
429. #400C22×C3semidirect
432. #399C22×C3semidirect
433. #398C22×C3semidirect
434. #398C22×C3semidirect
438. #397C22×C3semidirect
439. #397C22×C3semidirect
440. #397C22×C3semidirect
445. #396C22×C3semidirect
446. #396C22×C3semidirect
447. #396C22×C3semidirect
462. #394C22×C3semidirect
463. #394C22×C3semidirect
473. #392C22×C3semidirect
474. #392C22×C3semidirect
475. #392C22×C3semidirect
485. #390C22×C3semidirect
486. #390C22×C3semidirect
487. #390C22×C3semidirect
488. #390C22×C3semidirect
489. #389C22×C3semidirect
490. #389C22×C3semidirect
491. #389C22×C3semidirect
492. #389C22×C3semidirect
507. #388C22×C3semidirect
508. #388C22×C3semidirect
509. #388C22×C3semidirect
510. #388C22×C3semidirect
511. #388C22×C3semidirect
512. #388C22×C3semidirect
513. #387C22×C3semidirect
514. #387C22×C3semidirect
515. #387C22×C3semidirect
516. #387C22×C3semidirect
517. #387C22×C3semidirect
518. #387C22×C3semidirect
519. #387C22×C3semidirect
520. #387C22×C3semidirect
521. #387C22×C3semidirect
522. #387C22×C3semidirect
523. #387C22×C3semidirect
534. #386C22×C3semidirect
535. #386C22×C3semidirect
536. #386C22×C3semidirect
537. #386C22×C3semidirect
541. #385C22×C3semidirect
542. #385C22×C3semidirect
543. #385C22×C3semidirect
544. #385C22×C3semidirect
545. #385C22×C3semidirect
546. #384C22×C3semidirect
547. #381C22×C3semidirect
549. #380C22×C3semidirect
550. #380C22×C3semidirect
554. C2×#95C22×C3semidirect
555. C43C22×C3semidirect
1648. C3#37245direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#28652
C3×#28602
C3×#28032
C3×#27962
C3×#27932
C3×#27802
C3×#27182
C3×#27142
C3×#27052
C3×#26912
C3×#26852
C3×#26782
C3×#26732
C3×#26692
C3×#26352
C3×#26302
C3×#24672
C3×#24662
C3×#24562
C3×#24442
C3×#24252
C3×#24242
C3×#24182
C3×#23252
C3×#23212
C3×C4×#1272
#372453