Finite Group Databasebeta

← C3×#36856 #10655463

Subgroups — C3×#36856 #10655463

Order 768.

2112 conjugacy classes of subgroups.

The subgroup lattice has 1674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2849C211yesmaximal, characteristic, complemented
2C3×#2847C211yesmaximal, characteristic, complemented
3C3×#2797C211yesmaximal, characteristic, complemented
4C3×#2782C211yesmaximal, characteristic, complemented
5C3×#2780C211yesmaximal, characteristic, complemented
6C3×#2750C211yesmaximal, characteristic, complemented
7C3×#2744C211yesmaximal, characteristic, complemented
8C3×#2708C211yesmaximal, characteristic, complemented
9C3×#2697C211yesmaximal, characteristic, complemented
10C3×#2693C211yesmaximal, characteristic, complemented
11C3×#2693C211yesmaximal, characteristic, complemented
12C3×#2688C211yesmaximal, characteristic, complemented
13C3×#2688C211yesmaximal, characteristic, complemented
14C3×#2682C211yesmaximal, characteristic, complemented
15C3×#2678C211yesmaximal, characteristic, complemented
16C3×#2673C211yesmaximal, characteristic, complemented
17C3×#2669C211yesmaximal, characteristic, complemented
18C3×#2668C211yesmaximal, characteristic, complemented
19C3×#2649C211yesmaximal, characteristic, complemented
20C3×#2648C211yesmaximal, characteristic, complemented
21C3×#2530C211yesmaximal, characteristic, complemented
22C3×#2526C211yesmaximal, characteristic, complemented
23C3×#2464C211yesmaximal, characteristic, complemented
24C3×#2457C211yesmaximal, characteristic, complemented
25C3×#2456C211yesmaximal, characteristic, complemented
26C3×#2456C211yesmaximal, characteristic, complemented
27C3×#2444C211yesmaximal, characteristic, complemented
28C3×#2425C211yesmaximal, characteristic, complemented
29C3×#2328C211yesmaximal, characteristic, complemented
30C3×#2325C211yesmaximal, characteristic, complemented
31C3×C4×#120C211yesmaximal, characteristic, complemented
32#36856C311yesmaximal, characteristic, direct product factor, Sylow
33C24×C3×C4C2211yescharacteristic
34C2×C3×#127C2211yescharacteristic
35C2×C3×#123C2211yescharacteristic
36C2×C3×#123C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic, complemented
40C2×C3×#123C2211yescharacteristic, complemented
41C2×C3×#121C2211yescharacteristic
42C2×C3×#121C2211yescharacteristic
43C2×C3×#121C2211yescharacteristic
44C2×C3×#121C2211yescharacteristic
45C2×C3×#121C2211yescharacteristic
46C2×C3×#121C2211yescharacteristic
47C2×C3×#121C2211yescharacteristic
48C2×C3×#121C2211yescharacteristic
49C2×C3×#120C2211yescharacteristic
50C2×C3×#120C2211yescharacteristic
51C2×C3×#120C2211yescharacteristic
52C2×C3×#120C2211yescharacteristic
53C2×C3×C4×D4C2211yescharacteristic
54C2×C3×C4×D4C2211yescharacteristic
55C2×C3×C4×D4C2211yescharacteristic
56C2×C3×C4×D4C2211yescharacteristic, complemented
57C2×C3×C4×D4C2211yescharacteristic, complemented
58C3×#400C2211yescharacteristic, complemented
59C3×#400C2211yescharacteristic, complemented
60C3×#400C2211yescharacteristic, complemented
61C3×#400C2211yescharacteristic, complemented
62C3×#400C2211yescharacteristic, complemented
63C3×#400C2211yescharacteristic, complemented
64C3×#400C2211yescharacteristic, complemented
65C3×#400C2211yescharacteristic, complemented
66C3×#399C2211yescharacteristic
67C3×#398C2211yescharacteristic, complemented
68C3×#398C2211yescharacteristic, complemented
69C3×#397C2211yescharacteristic
70C3×#397C2211yescharacteristic
71C3×#397C2211yescharacteristic
72C3×#397C2211yescharacteristic
73C3×#397C2211yescharacteristic
74C3×#397C2211yescharacteristic, complemented
75C3×#397C2211yescharacteristic, complemented
76C3×#397C2211yescharacteristic, complemented
77C3×#397C2211yescharacteristic, complemented
78C3×#397C2211yescharacteristic, complemented
79C3×#396C2211yescharacteristic
80C3×#396C2211yescharacteristic
81C3×#396C2211yescharacteristic
82C3×#396C2211yescharacteristic, complemented
83C3×#396C2211yescharacteristic, complemented
84C3×#396C2211yescharacteristic, complemented
85C3×#396C2211yescharacteristic, complemented
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, complemented
104C3×#392C2211yescharacteristic, complemented
105C3×#392C2211yescharacteristic, complemented
106C3×#390C2211yescharacteristic
107C3×#390C2211yescharacteristic
108C3×#390C2211yescharacteristic
109C3×#390C2211yescharacteristic, complemented
110C3×#390C2211yescharacteristic, complemented
111C3×#389C2211yescharacteristic, complemented
112C3×#389C2211yescharacteristic, complemented
113C3×#388C2211yescharacteristic
114C3×#388C2211yescharacteristic
115C3×#388C2211yescharacteristic
116C3×#388C2211yescharacteristic
117C3×#388C2211yescharacteristic
118C3×#388C2211yescharacteristic, complemented
119C3×#388C2211yescharacteristic, complemented
120C3×#388C2211yescharacteristic, complemented
121C3×#388C2211yescharacteristic, complemented
122C3×#388C2211yescharacteristic, complemented
123C3×#388C2211yescharacteristic, complemented
124C3×#388C2211yescharacteristic, complemented
125C3×#387C2211yescharacteristic, complemented
126C3×#387C2211yescharacteristic, complemented
127C3×#387C2211yescharacteristic, complemented
128C3×#387C2211yescharacteristic, complemented
129C3×#387C2211yescharacteristic, complemented
130C3×#387C2211yescharacteristic, complemented
131C3×#387C2211yescharacteristic, complemented
132C3×#386C2211yescharacteristic
133C3×#386C2211yescharacteristic
134C3×#386C2211yescharacteristic
135C3×#386C2211yescharacteristic
136C3×#386C2211yescharacteristic
137C3×#386C2211yescharacteristic
138C3×#386C2211yescharacteristic
139C3×#386C2211yescharacteristic
140C3×#386C2211yescharacteristic
141C3×#386C2211yescharacteristic
142C3×#386C2211yescharacteristic
143C3×#386C2211yescharacteristic
144C3×#386C2211yescharacteristic
145C3×#386C2211yescharacteristic
146C3×#386C2211yescharacteristic
147C3×#386C2211yescharacteristic
148C3×#386C2211yescharacteristic
149C3×#386C2211yescharacteristic
150C3×#386C2211yescharacteristic
151C3×#386C2211yescharacteristic
152C3×#386C2211yescharacteristic
153C3×#386C2211yescharacteristic, complemented
154C3×#386C2211yescharacteristic, complemented
155C3×#386C2211yescharacteristic, complemented
156C3×#386C2211yescharacteristic, complemented
157C3×#386C2211yescharacteristic, complemented
158C3×#386C2211yescharacteristic, complemented
159C3×#386C2211yescharacteristic, complemented
160C3×#385C2211yescharacteristic
161C3×#385C2211yescharacteristic
162C3×#385C2211yescharacteristic
163C3×#385C2211yescharacteristic
164C3×#385C2211yescharacteristic
165C3×#385C2211yescharacteristic
166C3×#385C2211yescharacteristic
167C3×#385C2211yescharacteristic, complemented
168C3×#385C2211yescharacteristic, complemented
169C3×#385C2211yescharacteristic, complemented
170C3×#385C2211yescharacteristic, complemented
171C3×#385C2211yescharacteristic, complemented
172C3×#382C2211yescharacteristic, complemented
173C3×#381C2211yescharacteristic
174C3×#381C2211yescharacteristic
175C3×#381C2211yescharacteristic, complemented
176C3×#380C2211yescharacteristic
177C3×#380C2211yescharacteristic
178C3×#380C2211yescharacteristic
179C3×#380C2211yescharacteristic, complemented
180C3×#380C2211yescharacteristic, complemented
181C3×#379C2211yescharacteristic
182C3×#379C2211yescharacteristic
183C3×C4×C22⋊C4C2211yescharacteristic
184C3×C4×C22⋊C4C2211yescharacteristic
185C3×C4×C22⋊C4C2211yescharacteristic
186C3×#376C2211yescharacteristic, complemented
187C2×C3×#95C2211yescharacteristic, complemented
188#2849C2×C311yescharacteristic, complemented
189#2847C2×C311yescharacteristic, complemented
190#2797C2×C311yescharacteristic, complemented
191#2782C2×C311yescharacteristic, complemented
192#2780C2×C311yescharacteristic, complemented
193#2750C2×C311yescharacteristic, complemented
194#2744C2×C311yescharacteristic, complemented
195#2708C2×C311yescharacteristic, complemented
196#2697C2×C311yescharacteristic, complemented
197#2693C2×C311yescharacteristic, complemented
198#2693C2×C311yescharacteristic, complemented
199#2688C2×C311yescharacteristic, complemented
200#2688C2×C311yescharacteristic, complemented
201#2682C2×C311yescharacteristic, complemented
202#2678C2×C311yescharacteristic, complemented
203#2673C2×C311yescharacteristic, complemented
204#2669C2×C311yescharacteristic, complemented
205#2668C2×C311yescharacteristic, complemented
206#2649C2×C311yescharacteristic, complemented
207#2648C2×C311yescharacteristic, complemented
208#2530C2×C311yescharacteristic, complemented
209#2526C2×C311yescharacteristic, complemented
210#2464C2×C311yescharacteristic, complemented
211#2457C2×C311yescharacteristic, complemented
212#2456C2×C311yescharacteristic, complemented
213#2456C2×C311yescharacteristic, complemented
214#2444C2×C311yescharacteristic, complemented
215#2425C2×C311yescharacteristic, complemented
216#2328C2×C311yescharacteristic, complemented
217#2325C2×C311yescharacteristic, complemented
218C4×#120C2×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×C4—42no—
239C23×C3×C4—42no—
240C23×C3×C4—42no—
241C23×C3×C4C2311yescharacteristic
242C23×C3×C4C2311yescharacteristic
243C23×C3×C4C2311yescharacteristic
244C23×C3×C4C2311yescharacteristic
245C23×C3×C4C2311yescharacteristic
246C23×C3×C4C2311yescharacteristic
247C23×C3×C4C2311yescharacteristic
248C23×C3×C4C2311yescharacteristic
249C23×C3×C4C2311yescharacteristic
250C23×C3×C4C2311yescharacteristic
251C23×C3×C4C2311yescharacteristic
252C23×C3×C4C2311yescharacteristic
253C3×#127—24no—
254C3×#123—42no—
255C3×#123—42no—
256C3×#123—42no—
257C3×#123—42no—
258C3×#123—42no—
259C3×#123—42no—
260C3×#121—24no—
261C3×#121—42no—
262C3×#121—42no—
263C3×#121—42no—
264C3×#121—42no—
265C3×#121—42no—
266C3×#121—42no—
267C3×#121—42no—
268C3×#120—24no—
269C3×#120—42no—
270C3×#120—42no—
271C3×#120—42no—
272C3×C4×D4—42no—
273C3×C4×D4—42no—
274C3×C4×D4—42no—
275C3×C4×D4—42no—
276C3×C4×D4—42no—
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×C4⋊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×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×C42C2311yescharacteristic
356C2×C3×C42C2311yescharacteristic
357C2×C3×C42C2311yescharacteristic
358C2×C3×C42C2311yescharacteristic
359C2×C3×C42C2311yescharacteristic
360C2×C3×C42C2311yescharacteristic
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
398C3×#95C2311yescharacteristic
399C3×#95C2311yescharacteristic
400C3×#95C2311yescharacteristic
401C24×C4C22×C311yescharacteristic
402C2×#127C22×C311yescharacteristic
403C2×#123C22×C311yescharacteristic
404C2×#123C22×C311yescharacteristic
405C2×#123C22×C311yescharacteristic
406C2×#123C22×C311yescharacteristic
407C2×#123C22×C311yescharacteristic, complemented
408C2×#123C22×C311yescharacteristic, complemented
409C2×#121C22×C311yescharacteristic
410C2×#121C22×C311yescharacteristic
411C2×#121C22×C311yescharacteristic
412C2×#121C22×C311yescharacteristic
413C2×#121C22×C311yescharacteristic
414C2×#121C22×C311yescharacteristic
415C2×#121C22×C311yescharacteristic
416C2×#121C22×C311yescharacteristic
417C2×#120C22×C311yescharacteristic
418C2×#120C22×C311yescharacteristic
419C2×#120C22×C311yescharacteristic
420C2×#120C22×C311yescharacteristic
421C2×C4×D4C22×C311yescharacteristic
422C2×C4×D4C22×C311yescharacteristic
423C2×C4×D4C22×C311yescharacteristic
424C2×C4×D4C22×C311yescharacteristic, complemented
425C2×C4×D4C22×C311yescharacteristic, complemented
426#400C22×C311yescharacteristic, complemented
427#400C22×C311yescharacteristic, complemented
428#400C22×C311yescharacteristic, complemented
429#400C22×C311yescharacteristic, complemented
430#400C22×C311yescharacteristic, complemented
431#400C22×C311yescharacteristic, complemented
432#400C22×C311yescharacteristic, complemented
433#400C22×C311yescharacteristic, complemented
434#399C22×C311yescharacteristic
435#398C22×C311yescharacteristic, complemented
436#398C22×C311yescharacteristic, complemented
437#397C22×C311yescharacteristic
438#397C22×C311yescharacteristic
439#397C22×C311yescharacteristic
440#397C22×C311yescharacteristic
441#397C22×C311yescharacteristic
442#397C22×C311yescharacteristic, complemented
443#397C22×C311yescharacteristic, complemented
444#397C22×C311yescharacteristic, complemented
445#397C22×C311yescharacteristic, complemented
446#397C22×C311yescharacteristic, complemented
447#396C22×C311yescharacteristic
448#396C22×C311yescharacteristic
449#396C22×C311yescharacteristic
450#396C22×C311yescharacteristic, complemented
451#396C22×C311yescharacteristic, complemented
452#396C22×C311yescharacteristic, complemented
453#396C22×C311yescharacteristic, complemented
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, complemented
472#392C22×C311yescharacteristic, complemented
473#392C22×C311yescharacteristic, complemented
474#390C22×C311yescharacteristic
475#390C22×C311yescharacteristic
476#390C22×C311yescharacteristic
477#390C22×C311yescharacteristic, complemented
478#390C22×C311yescharacteristic, complemented
479#389C22×C311yescharacteristic, complemented
480#389C22×C311yescharacteristic, complemented
481#388C22×C311yescharacteristic
482#388C22×C311yescharacteristic
483#388C22×C311yescharacteristic
484#388C22×C311yescharacteristic
485#388C22×C311yescharacteristic
486#388C22×C311yescharacteristic, complemented
487#388C22×C311yescharacteristic, complemented
488#388C22×C311yescharacteristic, complemented
489#388C22×C311yescharacteristic, complemented
490#388C22×C311yescharacteristic, complemented
491#388C22×C311yescharacteristic, complemented
492#388C22×C311yescharacteristic, complemented
493#387C22×C311yescharacteristic, complemented
494#387C22×C311yescharacteristic, complemented
495#387C22×C311yescharacteristic, complemented
496#387C22×C311yescharacteristic, complemented
497#387C22×C311yescharacteristic, complemented
498#387C22×C311yescharacteristic, complemented
499#387C22×C311yescharacteristic, complemented
500#386C22×C311yescharacteristic
501#386C22×C311yescharacteristic
502#386C22×C311yescharacteristic
503#386C22×C311yescharacteristic
504#386C22×C311yescharacteristic
505#386C22×C311yescharacteristic
506#386C22×C311yescharacteristic
507#386C22×C311yescharacteristic
508#386C22×C311yescharacteristic
509#386C22×C311yescharacteristic
510#386C22×C311yescharacteristic
511#386C22×C311yescharacteristic
512#386C22×C311yescharacteristic
513#386C22×C311yescharacteristic
514#386C22×C311yescharacteristic
515#386C22×C311yescharacteristic
516#386C22×C311yescharacteristic
517#386C22×C311yescharacteristic
518#386C22×C311yescharacteristic
519#386C22×C311yescharacteristic
520#386C22×C311yescharacteristic
521#386C22×C311yescharacteristic, complemented
522#386C22×C311yescharacteristic, complemented
523#386C22×C311yescharacteristic, complemented
524#386C22×C311yescharacteristic, complemented
525#386C22×C311yescharacteristic, complemented
526#386C22×C311yescharacteristic, complemented
527#386C22×C311yescharacteristic, complemented
528#385C22×C311yescharacteristic
529#385C22×C311yescharacteristic
530#385C22×C311yescharacteristic
531#385C22×C311yescharacteristic
532#385C22×C311yescharacteristic
533#385C22×C311yescharacteristic
534#385C22×C311yescharacteristic
535#385C22×C311yescharacteristic, complemented
536#385C22×C311yescharacteristic, complemented
537#385C22×C311yescharacteristic, complemented
538#385C22×C311yescharacteristic, complemented
539#385C22×C311yescharacteristic, complemented
540#382C22×C311yescharacteristic, complemented
541#381C22×C311yescharacteristic
542#381C22×C311yescharacteristic
543#381C22×C311yescharacteristic, complemented
544#380C22×C311yescharacteristic
545#380C22×C311yescharacteristic
546#380C22×C311yescharacteristic
547#380C22×C311yescharacteristic, complemented
548#380C22×C311yescharacteristic, complemented
549#379C22×C311yescharacteristic
550#379C22×C311yescharacteristic
551C4×C22⋊C4C22×C311yescharacteristic
552C4×C22⋊C4C22×C311yescharacteristic
553C4×C22⋊C4C22×C311yescharacteristic
554#376C22×C311yescharacteristic, complemented
555C2×#95C22×C311yescharacteristic, complemented
556C24×C3—22no—
557C24×C3—22no—
558C24×C3—22no—
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—22no—
585C2×C3×D4—22no—
586C2×C3×D4—22no—
587C2×C3×D4—22no—
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—22no—
630C22×C3×C4—22no—
631C22×C3×C4—22no—
632C22×C3×C4—22no—
633C22×C3×C4—22no—
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×C4—41no—
649C22×C3×C4—41no—
650C22×C3×C4—41no—
651C22×C3×C4—41no—
652C22×C3×C4—41no—
653C22×C3×C4—41no—
654C22×C3×C4—41no—
655C22×C3×C4—41no—
656C22×C3×C4—41no—
657C22×C3×C4—41no—
658C22×C3×C4—41no—
659C22×C3×C4—41no—
660C22×C3×C4—416no—
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
672C22×C3×C4C2411yescharacteristic
673C22×C3×C4C2411yescharacteristic
674C22×C3×C4C2411yescharacteristic
675C22×C3×C4C2411yescharacteristic
676C22×C3×C4C2411yescharacteristic
677C22×C3×C4C2411yescharacteristic
678C22×C3×C4C2411yescharacteristic
679C22×C3×C4C2411yescharacteristic
680C22×C3×C4C2411yescharacteristic
681C22×C3×C4C2411yescharacteristic
682C22×C3×C4C2411yescharacteristic
683C22×C3×C4C2411yescharacteristic
684C22×C3×C4C2411yescharacteristic
685C3×C4⋊C4—22no—
686C3×C4⋊C4—22no—
687C3×C4⋊C4—22no—
688C3×C4⋊C4—22no—
689C3×C4⋊C4—22no—
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×C4⋊C4—41no—
701C3×C4⋊C4—41no—
702C3×C4⋊C4—41no—
703C3×C4⋊C4—41no—
704C3×C4⋊C4—41no—
705C3×C4⋊C4—41no—
706C3×C4⋊C4—41no—
707C3×C4⋊C4—41no—
708C3×C4⋊C4—41no—
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—22no—
720C3×C22⋊C4—22no—
721C3×C22⋊C4—22no—
722C3×C22⋊C4—22no—
723C3×C22⋊C4—22no—
724C3×C22⋊C4—22no—
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×C22⋊C4—41no—
759C3×C22⋊C4—41no—
760C3×C22⋊C4—41no—
761C3×C22⋊C4—41no—
762C3×C22⋊C4—41no—
763C3×C42—22no—
764C3×C42—22no—
765C3×C42—41no—
766C3×C42—41no—
767C3×C42—41no—
768C3×C42—41no—
769C25C23×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
787C22×D4C23×C311yescharacteristic
788C23×C4—42no—
789C23×C4—42no—
790C23×C4—42no—
791C23×C4C23×C311yescharacteristic
792C23×C4C23×C311yescharacteristic
793C23×C4C23×C311yescharacteristic
794C23×C4C23×C311yescharacteristic
795C23×C4C23×C311yescharacteristic
796C23×C4C23×C311yescharacteristic
797C23×C4C23×C311yescharacteristic
798C23×C4C23×C311yescharacteristic
799C23×C4C23×C311yescharacteristic
800C23×C4C23×C311yescharacteristic
801C23×C4C23×C311yescharacteristic
802C23×C4C23×C311yescharacteristic
803#127—24no—
804#123—42no—
805#123—42no—
806#123—42no—
807#123—42no—
808#123—42no—
809#123—42no—
810#121—24no—
811#121—42no—
812#121—42no—
813#121—42no—
814#121—42no—
815#121—42no—
816#121—42no—
817#121—42no—
818#120—24no—
819#120—42no—
820#120—42no—
821#120—42no—
822C4×D4—42no—
823C4×D4—42no—
824C4×D4—42no—
825C4×D4—42no—
826C4×D4—42no—
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×C4⋊C4C23×C311yescharacteristic
850C2×C4⋊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×C42C23×C311yescharacteristic
906C2×C42C23×C311yescharacteristic
907C2×C42C23×C311yescharacteristic
908C2×C42C23×C311yescharacteristic
909C2×C42C23×C311yescharacteristic
910C2×C42C23×C311yescharacteristic
911#95C23×C311yescharacteristic
912#95C23×C311yescharacteristic
913#95C23×C311yescharacteristic
914#95C23×C311yescharacteristic
915#95C23×C311yescharacteristic
916#95C23×C311yescharacteristic
917#95C23×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
950#95C23×C311yescharacteristic
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—44no—
997C23×C3—44no—
998C23×C3—44no—
999C23×C3—44no—
1000C23×C3—44no—
1001C23×C3—44no—
1002C23×C3—44no—
1003C23×C3C2×#4112yes—
1004C23×C3C2×#4112yes—
1005C23×C3H(5,𝔽2)12yes—
1006C23×C3H(5,𝔽2)12yes—
1007C23×C3C2511yescharacteristic
1008C3×D4—44no—
1009C3×D4—44no—
1010C3×D4—44no—
1011C3×D4—44no—
1012C3×D4—44no—
1013C3×D4—82no—
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—
1025C3×D4—82no—
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—21no—
1093C2×C3×C4—21no—
1094C2×C3×C4—21no—
1095C2×C3×C4—44no—
1096C2×C3×C4—44no—
1097C2×C3×C4—44no—
1098C2×C3×C4—44no—
1099C2×C3×C4—44no—
1100C2×C3×C4—44no—
1101C2×C3×C4—82no—
1102C2×C3×C4—82no—
1103C2×C3×C4—82no—
1104C2×C3×C4—82no—
1105C2×C3×C4—82no—
1106C2×C3×C4—82no—
1107C2×C3×C4C2×#4112yes—
1108C2×C3×C4H(5,𝔽2)12yes—
1109C2×C3×C4H(5,𝔽2)12yes—
1110C24—22no—
1111C24—22no—
1112C24—22no—
1113C24—41no—
1114C24—41no—
1115C24—41no—
1116C24—41no—
1117C24C24×C311yescharacteristic
1118C24C24×C311yescharacteristic
1119C24C24×C311yescharacteristic
1120C24C24×C311yescharacteristic
1121C24C24×C311yescharacteristic
1122C24C24×C311yescharacteristic
1123C24C24×C311yescharacteristic
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—22no—
1134C2×D4—22no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—22no—
1138C2×D4—22no—
1139C2×D4—22no—
1140C2×D4—22no—
1141C2×D4—22no—
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×D4—41no—
1173C2×D4—41no—
1174C2×D4—41no—
1175C2×D4—41no—
1176C2×D4—41no—
1177C2×D4C3×#4114yes—
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—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×C4—41no—
1198C22×C4—41no—
1199C22×C4—41no—
1200C22×C4—41no—
1201C22×C4—41no—
1202C22×C4—41no—
1203C22×C4—41no—
1204C22×C4—41no—
1205C22×C4—41no—
1206C22×C4—41no—
1207C22×C4—41no—
1208C22×C4—41no—
1209C22×C4—41no—
1210C22×C4—41no—
1211C22×C4—41no—
1212C22×C4—41no—
1213C22×C4—41no—
1214C22×C4—416no—
1215C22×C4C24×C311yescharacteristic
1216C22×C4C24×C311yescharacteristic
1217C22×C4C24×C311yescharacteristic
1218C22×C4C24×C311yescharacteristic
1219C22×C4C24×C311yescharacteristic
1220C22×C4C24×C311yescharacteristic
1221C22×C4C24×C311yescharacteristic
1222C22×C4C24×C311yescharacteristic
1223C22×C4C24×C311yescharacteristic
1224C22×C4C24×C311yescharacteristic
1225C22×C4C24×C311yescharacteristic
1226C22×C4C24×C311yescharacteristic
1227C22×C4C24×C311yescharacteristic
1228C22×C4C24×C311yescharacteristic
1229C22×C4C24×C311yescharacteristic
1230C22×C4C24×C311yescharacteristic
1231C22×C4C24×C311yescharacteristic
1232C22×C4C24×C311yescharacteristic
1233C22×C4C24×C311yescharacteristic
1234C22×C4C24×C311yescharacteristic
1235C22×C4C24×C311yescharacteristic
1236C22×C4C24×C311yescharacteristic
1237C22×C4C24×C311yescharacteristic
1238C22×C4C24×C311yescharacteristic
1239C4⋊C4—22no—
1240C4⋊C4—22no—
1241C4⋊C4—22no—
1242C4⋊C4—22no—
1243C4⋊C4—22no—
1244C4⋊C4—41no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—41no—
1248C4⋊C4—41no—
1249C4⋊C4—41no—
1250C4⋊C4—41no—
1251C4⋊C4—41no—
1252C4⋊C4—41no—
1253C4⋊C4—41no—
1254C4⋊C4—41no—
1255C4⋊C4—41no—
1256C4⋊C4—41no—
1257C4⋊C4—41no—
1258C4⋊C4—41no—
1259C4⋊C4—41no—
1260C4⋊C4—41no—
1261C4⋊C4—41no—
1262C4⋊C4—41no—
1263C22⋊C4—22no—
1264C22⋊C4—22no—
1265C22⋊C4—22no—
1266C22⋊C4—22no—
1267C22⋊C4—22no—
1268C22⋊C4—22no—
1269C22⋊C4—22no—
1270C22⋊C4—22no—
1271C22⋊C4—22no—
1272C22⋊C4—22no—
1273C22⋊C4—22no—
1274C22⋊C4—22no—
1275C22⋊C4—22no—
1276C22⋊C4—22no—
1277C22⋊C4—22no—
1278C22⋊C4—22no—
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—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—41no—
1312C22⋊C4—41no—
1313C22⋊C4—41no—
1314C22⋊C4—41no—
1315C22⋊C4—41no—
1316C22⋊C4—41no—
1317C42—22no—
1318C42—22no—
1319C42—41no—
1320C42—41no—
1321C42—41no—
1322C42—41no—
1323C22×C3—22no—
1324C22×C3—22no—
1325C22×C3—22no—
1326C22×C3—22no—
1327C22×C3—22no—
1328C22×C3—22no—
1329C22×C3—22no—
1330C22×C3—22no—
1331C22×C3—22no—
1332C22×C3—22no—
1333C22×C3—22no—
1334C22×C3—22no—
1335C22×C3—416no—
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—41no—
1367C22×C3—41no—
1368C22×C3—41no—
1369C22×C3—41no—
1370C22×C3—41no—
1371C22×C3—41no—
1372C22×C3—41no—
1373C22×C3C22×#4111yescharacteristic
1374C22×C3C2×H(5,𝔽2)11yescharacteristic
1375C22×C3C2×H(5,𝔽2)11yescharacteristic
1376C22×C3C2×H(5,𝔽2)11yescharacteristic
1377C22×C3C2×H(5,𝔽2)11yescharacteristic
1378C22×C3#58511yescharacteristic
1379C22×C3#58511yescharacteristic
1380C3×C4—22no—
1381C3×C4—22no—
1382C3×C4—22no—
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—
1398C3×C4—41no—
1399C3×C4—41no—
1400C3×C4—41no—
1401C3×C4—41no—
1402C3×C4—41no—
1403C3×C4—41no—
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—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—44no—
1450C23—44no—
1451C23—44no—
1452C23—44no—
1453C23—44no—
1454C23—44no—
1455C23—44no—
1456C23C2×C3×#4112yes—
1457C23C2×C3×#4112yes—
1458C23C3×H(5,𝔽2)12yes—
1459C23C3×H(5,𝔽2)12yes—
1460C23C25×C311yescharacteristic
1461D4—44no—
1462D4—44no—
1463D4—44no—
1464D4—44no—
1465D4—44no—
1466D4—82no—
1467D4—82no—
1468D4—82no—
1469D4—82no—
1470D4—82no—
1471D4—82no—
1472D4—82no—
1473D4—82no—
1474D4—82no—
1475D4—82no—
1476D4—82no—
1477D4—82no—
1478D4—82no—
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—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—44no—
1549C2×C4—44no—
1550C2×C4—44no—
1551C2×C4—44no—
1552C2×C4—44no—
1553C2×C4—44no—
1554C2×C4—82no—
1555C2×C4—82no—
1556C2×C4—82no—
1557C2×C4—82no—
1558C2×C4—82no—
1559C2×C4—82no—
1560C2×C4C2×C3×#4112yes—
1561C2×C4C3×H(5,𝔽2)12yes—
1562C2×C4C3×H(5,𝔽2)12yes—
1563C2×C3—42no—
1564C2×C3—42no—
1565C2×C3—42no—
1566C2×C3—42no—
1567C2×C3—81no—
1568C2×C3—81no—
1569C2×C3—81no—
1570C2×C3#345911yescharacteristic
1571C2×C3#351311yescharacteristic
1572C2×C3#351911yescharacteristic
1573C2×C3#353211yescharacteristic
1574C2×C3#353411yescharacteristic
1575C2×C3#353911yescharacteristic
1576C2×C3#354211yescharacteristic
1577C22—22no—
1578C22—22no—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—416no—
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—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22C22×C3×#4111yescharacteristic
1628C22C2×C3×H(5,𝔽2)11yescharacteristic
1629C22C2×C3×H(5,𝔽2)11yescharacteristic
1630C22C2×C3×H(5,𝔽2)11yescharacteristic
1631C22C2×C3×H(5,𝔽2)11yescharacteristic
1632C22C3×#58511yescharacteristic
1633C22C3×#58511yescharacteristic
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C3#3685611yescharacteristic, direct product factor, Sylow
1659C2—42no—
1660C2—42no—
1661C2—42no—
1662C2—42no—
1663C2—81no—
1664C2—81no—
1665C2—81no—
1666C2C3×#345911yescharacteristic
1667C2C3×#351311yescharacteristic
1668C2C3×#351911yescharacteristic
1669C2C3×#353211yescharacteristic
1670C2C3×#353411yescharacteristic
1671C2C3×#353911yescharacteristic
1672C2C3×#354211yescharacteristic
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×#2849C2semidirect
2. C3×#2847C2semidirect
3. C3×#2797C2semidirect
4. C3×#2782C2semidirect
5. C3×#2780C2semidirect
6. C3×#2750C2semidirect
7. C3×#2744C2semidirect
8. C3×#2708C2semidirect
9. C3×#2697C2semidirect
10. C3×#2693C2semidirect
11. C3×#2693C2semidirect
12. C3×#2688C2semidirect
13. C3×#2688C2semidirect
14. C3×#2682C2semidirect
15. C3×#2678C2semidirect
16. C3×#2673C2semidirect
17. C3×#2669C2semidirect
18. C3×#2668C2semidirect
19. C3×#2649C2semidirect
20. C3×#2648C2semidirect
21. C3×#2530C2semidirect
22. C3×#2526C2semidirect
23. C3×#2464C2semidirect
24. C3×#2457C2semidirect
25. C3×#2456C2semidirect
26. C3×#2456C2semidirect
27. C3×#2444C2semidirect
28. C3×#2425C2semidirect
29. C3×#2328C2semidirect
30. C3×#2325C2semidirect
31. C3×C4×#120C2semidirect
32. #36856C3direct (N × H)
39. C2×C3×#123C22semidirect
40. C2×C3×#123C22semidirect
56. C2×C3×C4×D4C22semidirect
57. C2×C3×C4×D4C22semidirect
58. C3×#400C22semidirect
59. C3×#400C22semidirect
60. C3×#400C22semidirect
61. C3×#400C22semidirect
62. C3×#400C22semidirect
63. C3×#400C22semidirect
64. C3×#400C22semidirect
65. C3×#400C22semidirect
67. C3×#398C22semidirect
68. C3×#398C22semidirect
74. C3×#397C22semidirect
75. C3×#397C22semidirect
76. C3×#397C22semidirect
77. C3×#397C22semidirect
78. C3×#397C22semidirect
82. C3×#396C22semidirect
83. C3×#396C22semidirect
84. C3×#396C22semidirect
85. C3×#396C22semidirect
94. C3×#394C22semidirect
95. C3×#394C22semidirect
103. C3×#392C22semidirect
104. C3×#392C22semidirect
105. C3×#392C22semidirect
109. C3×#390C22semidirect
110. C3×#390C22semidirect
111. C3×#389C22semidirect
112. C3×#389C22semidirect
118. C3×#388C22semidirect
119. C3×#388C22semidirect
120. C3×#388C22semidirect
121. C3×#388C22semidirect
122. C3×#388C22semidirect
123. C3×#388C22semidirect
124. C3×#388C22semidirect
125. C3×#387C22semidirect
126. C3×#387C22semidirect
127. C3×#387C22semidirect
128. C3×#387C22semidirect
129. C3×#387C22semidirect
130. C3×#387C22semidirect
131. C3×#387C22semidirect
153. C3×#386C22semidirect
154. C3×#386C22semidirect
155. C3×#386C22semidirect
156. C3×#386C22semidirect
157. C3×#386C22semidirect
158. C3×#386C22semidirect
159. C3×#386C22semidirect
167. C3×#385C22semidirect
168. C3×#385C22semidirect
169. C3×#385C22semidirect
170. C3×#385C22semidirect
171. C3×#385C22semidirect
172. C3×#382C22semidirect
175. C3×#381C22semidirect
179. C3×#380C22semidirect
180. C3×#380C22semidirect
186. C3×#376C22semidirect
187. C2×C3×#95C22semidirect
188. #2849C2×C3semidirect
189. #2847C2×C3semidirect
190. #2797C2×C3semidirect
191. #2782C2×C3semidirect
192. #2780C2×C3semidirect
193. #2750C2×C3semidirect
194. #2744C2×C3semidirect
195. #2708C2×C3semidirect
196. #2697C2×C3semidirect
197. #2693C2×C3semidirect
198. #2693C2×C3semidirect
199. #2688C2×C3semidirect
200. #2688C2×C3semidirect
201. #2682C2×C3semidirect
202. #2678C2×C3semidirect
203. #2673C2×C3semidirect
204. #2669C2×C3semidirect
205. #2668C2×C3semidirect
206. #2649C2×C3semidirect
207. #2648C2×C3semidirect
208. #2530C2×C3semidirect
209. #2526C2×C3semidirect
210. #2464C2×C3semidirect
211. #2457C2×C3semidirect
212. #2456C2×C3semidirect
213. #2456C2×C3semidirect
214. #2444C2×C3semidirect
215. #2425C2×C3semidirect
216. #2328C2×C3semidirect
217. #2325C2×C3semidirect
218. C4×#120C2×C3semidirect
407. C2×#123C22×C3semidirect
408. C2×#123C22×C3semidirect
424. C2×C4×D4C22×C3semidirect
425. C2×C4×D4C22×C3semidirect
426. #400C22×C3semidirect
427. #400C22×C3semidirect
428. #400C22×C3semidirect
429. #400C22×C3semidirect
430. #400C22×C3semidirect
431. #400C22×C3semidirect
432. #400C22×C3semidirect
433. #400C22×C3semidirect
435. #398C22×C3semidirect
436. #398C22×C3semidirect
442. #397C22×C3semidirect
443. #397C22×C3semidirect
444. #397C22×C3semidirect
445. #397C22×C3semidirect
446. #397C22×C3semidirect
450. #396C22×C3semidirect
451. #396C22×C3semidirect
452. #396C22×C3semidirect
453. #396C22×C3semidirect
462. #394C22×C3semidirect
463. #394C22×C3semidirect
471. #392C22×C3semidirect
472. #392C22×C3semidirect
473. #392C22×C3semidirect
477. #390C22×C3semidirect
478. #390C22×C3semidirect
479. #389C22×C3semidirect
480. #389C22×C3semidirect
486. #388C22×C3semidirect
487. #388C22×C3semidirect
488. #388C22×C3semidirect
489. #388C22×C3semidirect
490. #388C22×C3semidirect
491. #388C22×C3semidirect
492. #388C22×C3semidirect
493. #387C22×C3semidirect
494. #387C22×C3semidirect
495. #387C22×C3semidirect
496. #387C22×C3semidirect
497. #387C22×C3semidirect
498. #387C22×C3semidirect
499. #387C22×C3semidirect
521. #386C22×C3semidirect
522. #386C22×C3semidirect
523. #386C22×C3semidirect
524. #386C22×C3semidirect
525. #386C22×C3semidirect
526. #386C22×C3semidirect
527. #386C22×C3semidirect
535. #385C22×C3semidirect
536. #385C22×C3semidirect
537. #385C22×C3semidirect
538. #385C22×C3semidirect
539. #385C22×C3semidirect
540. #382C22×C3semidirect
543. #381C22×C3semidirect
547. #380C22×C3semidirect
548. #380C22×C3semidirect
554. #376C22×C3semidirect
555. C2×#95C22×C3semidirect
1658. C3#36856direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#28492
C3×#28472
C3×#27972
C3×#27822
C3×#27802
C3×#27502
C3×#27442
C3×#27082
C3×#26972
C3×#26932
C3×#26882
C3×#26822
C3×#26782
C3×#26732
C3×#26692
C3×#26682
C3×#26492
C3×#26482
C3×#25302
C3×#25262
C3×#24642
C3×#24572
C3×#24562
C3×#24442
C3×#24252
C3×#23282
C3×#23252
C3×C4×#1202
#368563