Finite Group Databasebeta

← C3×#35863 #10654470

Subgroups — C3×#35863 #10654470

Order 768.

2066 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2661C211yesmaximal, characteristic, complemented
2C3×#2649C211yesmaximal, characteristic, complemented
3C3×#2648C211yesmaximal, characteristic, complemented
4C3×#2597C211yesmaximal, characteristic, complemented
5C3×#2595C211yesmaximal, characteristic, complemented
6C3×#2558C211yesmaximal, characteristic, complemented
7C3×#2557C211yesmaximal, characteristic, complemented
8C3×#2556C211yesmaximal, characteristic, complemented
9C3×#2555C211yesmaximal, characteristic, complemented
10C3×#2539C211yesmaximal, characteristic, complemented
11C3×#2522C211yesmaximal, characteristic, complemented
12C3×#2490C211yesmaximal, characteristic, complemented
13C3×#2472C211yesmaximal, characteristic, complemented
14C3×#2471C211yesmaximal, characteristic, complemented
15C3×#2470C211yesmaximal, characteristic, complemented
16C3×#2464C211yesmaximal, characteristic, complemented
17C3×#2426C211yesmaximal, characteristic, complemented
18C3×#2424C211yesmaximal, characteristic, complemented
19C3×#2424C211yesmaximal, characteristic, complemented
20C3×#2418C211yesmaximal, characteristic, complemented
21C3×#2411C211yesmaximal, characteristic, complemented
22C3×#2396C211yesmaximal, characteristic, complemented
23C3×#2395C211yesmaximal, characteristic, complemented
24C3×#2392C211yesmaximal, characteristic, complemented
25C3×#2374C211yesmaximal, characteristic, complemented
26C3×#2374C211yesmaximal, characteristic, complemented
27C3×#2367C211yesmaximal, characteristic, complemented
28C3×#2363C211yesmaximal, characteristic, complemented
29C3×#2363C211yesmaximal, characteristic, complemented
30C3×#2363C211yesmaximal, characteristic, complemented
31C3×#2273C211yesmaximal, characteristic, complemented
32#35863C311yesmaximal, characteristic, direct product factor, Sylow
33C2×C3×#125C2211yescharacteristic, complemented
34C2×C3×#124C2211yescharacteristic
35C2×C3×#124C2211yescharacteristic, complemented
36C2×C3×#123C2211yescharacteristic
37C2×C3×#123C2211yescharacteristic
38C2×C3×#123C2211yescharacteristic
39C2×C3×#123C2211yescharacteristic
40C2×C3×C22⋊Q8C2211yescharacteristic
41C2×C3×#121C2211yescharacteristic
42C2×C3×#121C2211yescharacteristic
43C2×C3×#121C2211yescharacteristic
44C2×C3×#121C2211yescharacteristic
45C2×C3×#121C2211yescharacteristic
46C2×C3×#120C2211yescharacteristic
47C2×C3×#120C2211yescharacteristic
48C2×C3×#120C2211yescharacteristic
49C2×C3×C4×Q8C2211yescharacteristic, complemented
50C2×C3×C4×D4C2211yescharacteristic
51C2×C3×C4×D4C2211yescharacteristic
52C2×C3×C4×D4C2211yescharacteristic
53C2×C3×C4×D4C2211yescharacteristic, complemented
54C2×C3×#117C2211yescharacteristic
55C2×C3×#117C2211yescharacteristic, complemented
56C2×C3×#117C2211yescharacteristic, complemented
57C22×C3×C22⋊C4C2211yescharacteristic
58C22×C3×C22⋊C4C2211yescharacteristic
59C22×C3×C22⋊C4C2211yescharacteristic
60C3×#400C2211yescharacteristic, complemented
61C3×#400C2211yescharacteristic, complemented
62C3×#400C2211yescharacteristic, complemented
63C3×#399C2211yescharacteristic
64C3×#399C2211yescharacteristic
65C3×#399C2211yescharacteristic
66C3×#398C2211yescharacteristic, complemented
67C3×#398C2211yescharacteristic, complemented
68C3×#398C2211yescharacteristic, complemented
69C3×#397C2211yescharacteristic
70C3×#397C2211yescharacteristic
71C3×#397C2211yescharacteristic, complemented
72C3×#397C2211yescharacteristic, complemented
73C3×#397C2211yescharacteristic, complemented
74C3×#397C2211yescharacteristic, complemented
75C3×#397C2211yescharacteristic, complemented
76C3×#396C2211yescharacteristic
77C3×#396C2211yescharacteristic
78C3×#396C2211yescharacteristic
79C3×#396C2211yescharacteristic
80C3×#396C2211yescharacteristic, complemented
81C3×#396C2211yescharacteristic, complemented
82C3×#395C2211yescharacteristic, complemented
83C3×#394C2211yescharacteristic
84C3×#394C2211yescharacteristic
85C3×#394C2211yescharacteristic
86C3×#394C2211yescharacteristic
87C3×#394C2211yescharacteristic
88C3×#394C2211yescharacteristic
89C3×#394C2211yescharacteristic
90C3×#394C2211yescharacteristic
91C3×#394C2211yescharacteristic
92C3×#394C2211yescharacteristic
93C3×#394C2211yescharacteristic, complemented
94C3×#393C2211yescharacteristic
95C3×#392C2211yescharacteristic
96C3×#392C2211yescharacteristic
97C3×#392C2211yescharacteristic
98C3×#392C2211yescharacteristic
99C3×#392C2211yescharacteristic, complemented
100C3×#391C2211yescharacteristic, complemented
101C3×#390C2211yescharacteristic
102C3×#390C2211yescharacteristic
103C3×#390C2211yescharacteristic
104C3×#390C2211yescharacteristic
105C3×#390C2211yescharacteristic
106C3×#390C2211yescharacteristic
107C3×#390C2211yescharacteristic
108C3×#390C2211yescharacteristic
109C3×#390C2211yescharacteristic
110C3×#390C2211yescharacteristic, complemented
111C3×#390C2211yescharacteristic, complemented
112C3×#390C2211yescharacteristic, complemented
113C3×#390C2211yescharacteristic, complemented
114C3×#389C2211yescharacteristic, complemented
115C3×#389C2211yescharacteristic, complemented
116C3×#389C2211yescharacteristic, complemented
117C3×#389C2211yescharacteristic, complemented
118C3×#388C2211yescharacteristic
119C3×#388C2211yescharacteristic
120C3×#388C2211yescharacteristic
121C3×#388C2211yescharacteristic
122C3×#388C2211yescharacteristic
123C3×#388C2211yescharacteristic
124C3×#388C2211yescharacteristic
125C3×#388C2211yescharacteristic
126C3×#388C2211yescharacteristic, complemented
127C3×#388C2211yescharacteristic, complemented
128C3×#388C2211yescharacteristic, complemented
129C3×#388C2211yescharacteristic, complemented
130C3×#388C2211yescharacteristic, complemented
131C3×#388C2211yescharacteristic, complemented
132C3×#388C2211yescharacteristic, complemented
133C3×#388C2211yescharacteristic, complemented
134C3×#388C2211yescharacteristic, complemented
135C3×#388C2211yescharacteristic, complemented
136C3×#388C2211yescharacteristic, complemented
137C3×#388C2211yescharacteristic, complemented
138C3×#387C2211yescharacteristic, complemented
139C3×#387C2211yescharacteristic, complemented
140C3×#387C2211yescharacteristic, complemented
141C3×#387C2211yescharacteristic, complemented
142C3×#387C2211yescharacteristic, complemented
143C3×#387C2211yescharacteristic, complemented
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×#385C2211yescharacteristic
156C3×#385C2211yescharacteristic
157C3×#385C2211yescharacteristic
158C3×#385C2211yescharacteristic
159C3×#385C2211yescharacteristic, complemented
160C3×#380C2211yescharacteristic
161C3×#379C2211yescharacteristic
162C3×C4×C4⋊C4C2211yescharacteristic, complemented
163C3×C4×C4⋊C4C2211yescharacteristic, complemented
164C3×C4×C4⋊C4C2211yescharacteristic, complemented
165C3×C4×C4⋊C4C2211yescharacteristic, complemented
166C3×C4×C4⋊C4C2211yescharacteristic, complemented
167C3×C4×C4⋊C4C2211yescharacteristic, complemented
168C3×C4×C4⋊C4C2211yescharacteristic, complemented
169C3×C4×C22⋊C4C2211yescharacteristic
170C3×C4×C22⋊C4C2211yescharacteristic
171C3×C4×C22⋊C4C2211yescharacteristic
172C3×C4×C22⋊C4C2211yescharacteristic
173C3×C4×C22⋊C4C2211yescharacteristic
174C3×C4×C22⋊C4C2211yescharacteristic
175C3×C4×C22⋊C4C2211yescharacteristic
176C3×C4×C22⋊C4C2211yescharacteristic
177C3×C4×C22⋊C4C2211yescharacteristic
178C3×C4×C22⋊C4C2211yescharacteristic
179C3×C4×C22⋊C4C2211yescharacteristic
180C3×C4×C22⋊C4C2211yescharacteristic
181C3×C4×C22⋊C4C2211yescharacteristic
182C3×C4×C22⋊C4C2211yescharacteristic
183C3×C4×C22⋊C4C2211yescharacteristic, complemented
184C3×C4×C22⋊C4C2211yescharacteristic, complemented
185C3×C4×C22⋊C4C2211yescharacteristic, complemented
186C3×C4×C22⋊C4C2211yescharacteristic, complemented
187C3×C4×C22⋊C4C2211yescharacteristic, complemented
188#2661C2×C311yescharacteristic, complemented
189#2649C2×C311yescharacteristic, complemented
190#2648C2×C311yescharacteristic, complemented
191#2597C2×C311yescharacteristic, complemented
192#2595C2×C311yescharacteristic, complemented
193#2558C2×C311yescharacteristic, complemented
194#2557C2×C311yescharacteristic, complemented
195#2556C2×C311yescharacteristic, complemented
196#2555C2×C311yescharacteristic, complemented
197#2539C2×C311yescharacteristic, complemented
198#2522C2×C311yescharacteristic, complemented
199#2490C2×C311yescharacteristic, complemented
200#2472C2×C311yescharacteristic, complemented
201#2471C2×C311yescharacteristic, complemented
202#2470C2×C311yescharacteristic, complemented
203#2464C2×C311yescharacteristic, complemented
204#2426C2×C311yescharacteristic, complemented
205#2424C2×C311yescharacteristic, complemented
206#2424C2×C311yescharacteristic, complemented
207#2418C2×C311yescharacteristic, complemented
208#2411C2×C311yescharacteristic, complemented
209#2396C2×C311yescharacteristic, complemented
210#2395C2×C311yescharacteristic, complemented
211#2392C2×C311yescharacteristic, complemented
212#2374C2×C311yescharacteristic, complemented
213#2374C2×C311yescharacteristic, complemented
214#2367C2×C311yescharacteristic, complemented
215#2363C2×C311yescharacteristic, complemented
216#2363C2×C311yescharacteristic, complemented
217#2363C2×C311yescharacteristic, complemented
218#2273C2×C311yescharacteristic, complemented
219C25×C3C2311yescharacteristic
220C22×C3×Q8C2311yescharacteristic
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
233C23×C3×C4C2311yescharacteristic
234C23×C3×C4C2311yescharacteristic
235C23×C3×C4C2311yescharacteristic
236C23×C3×C4C2311yescharacteristic
237C23×C3×C4C2311yescharacteristic
238C23×C3×C4C2311yescharacteristic
239C23×C3×C4C2311yescharacteristic
240C23×C3×C4C2311yescharacteristic
241C23×C3×C4C2311yescharacteristic
242C3×#125—42no—
243C3×#124—24no—
244C3×#124—42no—
245C3×#123—24no—
246C3×#123—24no—
247C3×#123—42no—
248C3×#123—42no—
249C3×C22⋊Q8—42no—
250C3×#121—24no—
251C3×#121—24no—
252C3×#121—24no—
253C3×#121—42no—
254C3×#121—42no—
255C3×#120—42no—
256C3×#120—42no—
257C3×#120—42no—
258C3×C4×Q8—42no—
259C3×C4×D4—42no—
260C3×C4×D4—42no—
261C3×C4×D4—42no—
262C3×C4×D4—42no—
263C3×#117—42no—
264C3×#117—42no—
265C3×#117—42no—
266C2×C3×C4⋊C4C2311yescharacteristic
267C2×C3×C4⋊C4C2311yescharacteristic
268C2×C3×C4⋊C4C2311yescharacteristic
269C2×C3×C4⋊C4C2311yescharacteristic
270C2×C3×C4⋊C4C2311yescharacteristic
271C2×C3×C4⋊C4C2311yescharacteristic
272C2×C3×C4⋊C4C2311yescharacteristic
273C2×C3×C4⋊C4C2311yescharacteristic
274C2×C3×C4⋊C4C2311yescharacteristic
275C2×C3×C4⋊C4C2311yescharacteristic
276C2×C3×C4⋊C4C2311yescharacteristic
277C2×C3×C4⋊C4C2311yescharacteristic
278C2×C3×C4⋊C4C2311yescharacteristic
279C2×C3×C4⋊C4C2311yescharacteristic
280C2×C3×C4⋊C4C2311yescharacteristic
281C2×C3×C4⋊C4C2311yescharacteristic
282C2×C3×C4⋊C4C2311yescharacteristic
283C2×C3×C4⋊C4C2311yescharacteristic
284C2×C3×C4⋊C4C2311yescharacteristic
285C2×C3×C4⋊C4C2311yescharacteristic
286C2×C3×C4⋊C4C2311yescharacteristic
287C2×C3×C4⋊C4C2311yescharacteristic
288C2×C3×C4⋊C4C2311yescharacteristic
289C2×C3×C4⋊C4C2311yescharacteristic
290C2×C3×C4⋊C4C2311yescharacteristic
291C2×C3×C4⋊C4C2311yescharacteristic
292C2×C3×C4⋊C4C2311yescharacteristic
293C2×C3×C22⋊C4—24no—
294C2×C3×C22⋊C4—24no—
295C2×C3×C22⋊C4—24no—
296C2×C3×C22⋊C4C2311yescharacteristic
297C2×C3×C22⋊C4C2311yescharacteristic
298C2×C3×C22⋊C4C2311yescharacteristic
299C2×C3×C22⋊C4C2311yescharacteristic
300C2×C3×C22⋊C4C2311yescharacteristic
301C2×C3×C22⋊C4C2311yescharacteristic
302C2×C3×C22⋊C4C2311yescharacteristic
303C2×C3×C22⋊C4C2311yescharacteristic
304C2×C3×C22⋊C4C2311yescharacteristic
305C2×C3×C22⋊C4C2311yescharacteristic
306C2×C3×C22⋊C4C2311yescharacteristic
307C2×C3×C22⋊C4C2311yescharacteristic
308C2×C3×C22⋊C4C2311yescharacteristic
309C2×C3×C22⋊C4C2311yescharacteristic
310C2×C3×C22⋊C4C2311yescharacteristic
311C2×C3×C22⋊C4C2311yescharacteristic
312C2×C3×C22⋊C4C2311yescharacteristic
313C2×C3×C22⋊C4C2311yescharacteristic
314C2×C3×C22⋊C4C2311yescharacteristic
315C2×C3×C22⋊C4C2311yescharacteristic
316C2×C3×C22⋊C4C2311yescharacteristic
317C2×C3×C22⋊C4C2311yescharacteristic
318C2×C3×C22⋊C4C2311yescharacteristic
319C2×C3×C22⋊C4C2311yescharacteristic
320C2×C3×C22⋊C4C2311yescharacteristic
321C2×C3×C22⋊C4C2311yescharacteristic
322C2×C3×C22⋊C4C2311yescharacteristic
323C2×C3×C22⋊C4C2311yescharacteristic
324C2×C3×C22⋊C4C2311yescharacteristic
325C2×C3×C22⋊C4C2311yescharacteristic
326C2×C3×C22⋊C4C2311yescharacteristic
327C2×C3×C22⋊C4C2311yescharacteristic
328C2×C3×C22⋊C4C2311yescharacteristic
329C2×C3×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×C42C2311yescharacteristic
351C2×C3×C42C2311yescharacteristic
352C2×C3×C42C2311yescharacteristic
353C2×C3×C42C2311yescharacteristic
354C2×C3×C42C2311yescharacteristic
355C2×C3×C42C2311yescharacteristic
356C2×C3×C42C2311yescharacteristic
357C2×C3×C42C2311yescharacteristic
358C2×C3×C42C2311yescharacteristic
359C2×C3×C42C2311yescharacteristic
360C2×C3×C42C2311yescharacteristic
361C2×C3×C42C2311yescharacteristic
362C2×C3×C42C2311yescharacteristic
363C2×C3×C42C2311yescharacteristic
364C2×C3×C42C2311yescharacteristic
365C2×C3×C42C2311yescharacteristic
366C2×C3×C42C2311yescharacteristic
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
401C2×#125C22×C311yescharacteristic, complemented
402C2×#124C22×C311yescharacteristic
403C2×#124C22×C311yescharacteristic, complemented
404C2×#123C22×C311yescharacteristic
405C2×#123C22×C311yescharacteristic
406C2×#123C22×C311yescharacteristic
407C2×#123C22×C311yescharacteristic
408C2×C22⋊Q8C22×C311yescharacteristic
409C2×#121C22×C311yescharacteristic
410C2×#121C22×C311yescharacteristic
411C2×#121C22×C311yescharacteristic
412C2×#121C22×C311yescharacteristic
413C2×#121C22×C311yescharacteristic
414C2×#120C22×C311yescharacteristic
415C2×#120C22×C311yescharacteristic
416C2×#120C22×C311yescharacteristic
417C2×C4×Q8C22×C311yescharacteristic, complemented
418C2×C4×D4C22×C311yescharacteristic
419C2×C4×D4C22×C311yescharacteristic
420C2×C4×D4C22×C311yescharacteristic
421C2×C4×D4C22×C311yescharacteristic, complemented
422C2×#117C22×C311yescharacteristic
423C2×#117C22×C311yescharacteristic, complemented
424C2×#117C22×C311yescharacteristic, complemented
425C22×C22⋊C4C22×C311yescharacteristic
426C22×C22⋊C4C22×C311yescharacteristic
427C22×C22⋊C4C22×C311yescharacteristic
428#400C22×C311yescharacteristic, complemented
429#400C22×C311yescharacteristic, complemented
430#400C22×C311yescharacteristic, complemented
431#399C22×C311yescharacteristic
432#399C22×C311yescharacteristic
433#399C22×C311yescharacteristic
434#398C22×C311yescharacteristic, complemented
435#398C22×C311yescharacteristic, complemented
436#398C22×C311yescharacteristic, complemented
437#397C22×C311yescharacteristic
438#397C22×C311yescharacteristic
439#397C22×C311yescharacteristic, complemented
440#397C22×C311yescharacteristic, complemented
441#397C22×C311yescharacteristic, complemented
442#397C22×C311yescharacteristic, complemented
443#397C22×C311yescharacteristic, complemented
444#396C22×C311yescharacteristic
445#396C22×C311yescharacteristic
446#396C22×C311yescharacteristic
447#396C22×C311yescharacteristic
448#396C22×C311yescharacteristic, complemented
449#396C22×C311yescharacteristic, complemented
450#395C22×C311yescharacteristic, complemented
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, complemented
462#393C22×C311yescharacteristic
463#392C22×C311yescharacteristic
464#392C22×C311yescharacteristic
465#392C22×C311yescharacteristic
466#392C22×C311yescharacteristic
467#392C22×C311yescharacteristic, complemented
468#391C22×C311yescharacteristic, complemented
469#390C22×C311yescharacteristic
470#390C22×C311yescharacteristic
471#390C22×C311yescharacteristic
472#390C22×C311yescharacteristic
473#390C22×C311yescharacteristic
474#390C22×C311yescharacteristic
475#390C22×C311yescharacteristic
476#390C22×C311yescharacteristic
477#390C22×C311yescharacteristic
478#390C22×C311yescharacteristic, complemented
479#390C22×C311yescharacteristic, complemented
480#390C22×C311yescharacteristic, complemented
481#390C22×C311yescharacteristic, complemented
482#389C22×C311yescharacteristic, complemented
483#389C22×C311yescharacteristic, complemented
484#389C22×C311yescharacteristic, complemented
485#389C22×C311yescharacteristic, complemented
486#388C22×C311yescharacteristic
487#388C22×C311yescharacteristic
488#388C22×C311yescharacteristic
489#388C22×C311yescharacteristic
490#388C22×C311yescharacteristic
491#388C22×C311yescharacteristic
492#388C22×C311yescharacteristic
493#388C22×C311yescharacteristic
494#388C22×C311yescharacteristic, complemented
495#388C22×C311yescharacteristic, complemented
496#388C22×C311yescharacteristic, complemented
497#388C22×C311yescharacteristic, complemented
498#388C22×C311yescharacteristic, complemented
499#388C22×C311yescharacteristic, complemented
500#388C22×C311yescharacteristic, complemented
501#388C22×C311yescharacteristic, complemented
502#388C22×C311yescharacteristic, complemented
503#388C22×C311yescharacteristic, complemented
504#388C22×C311yescharacteristic, complemented
505#388C22×C311yescharacteristic, complemented
506#387C22×C311yescharacteristic, complemented
507#387C22×C311yescharacteristic, complemented
508#387C22×C311yescharacteristic, complemented
509#387C22×C311yescharacteristic, complemented
510#387C22×C311yescharacteristic, complemented
511#387C22×C311yescharacteristic, complemented
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#385C22×C311yescharacteristic
524#385C22×C311yescharacteristic
525#385C22×C311yescharacteristic
526#385C22×C311yescharacteristic
527#385C22×C311yescharacteristic, complemented
528#380C22×C311yescharacteristic
529#379C22×C311yescharacteristic
530C4×C4⋊C4C22×C311yescharacteristic, complemented
531C4×C4⋊C4C22×C311yescharacteristic, complemented
532C4×C4⋊C4C22×C311yescharacteristic, complemented
533C4×C4⋊C4C22×C311yescharacteristic, complemented
534C4×C4⋊C4C22×C311yescharacteristic, complemented
535C4×C4⋊C4C22×C311yescharacteristic, complemented
536C4×C4⋊C4C22×C311yescharacteristic, complemented
537C4×C22⋊C4C22×C311yescharacteristic
538C4×C22⋊C4C22×C311yescharacteristic
539C4×C22⋊C4C22×C311yescharacteristic
540C4×C22⋊C4C22×C311yescharacteristic
541C4×C22⋊C4C22×C311yescharacteristic
542C4×C22⋊C4C22×C311yescharacteristic
543C4×C22⋊C4C22×C311yescharacteristic
544C4×C22⋊C4C22×C311yescharacteristic
545C4×C22⋊C4C22×C311yescharacteristic
546C4×C22⋊C4C22×C311yescharacteristic
547C4×C22⋊C4C22×C311yescharacteristic
548C4×C22⋊C4C22×C311yescharacteristic
549C4×C22⋊C4C22×C311yescharacteristic
550C4×C22⋊C4C22×C311yescharacteristic
551C4×C22⋊C4C22×C311yescharacteristic, complemented
552C4×C22⋊C4C22×C311yescharacteristic, complemented
553C4×C22⋊C4C22×C311yescharacteristic, complemented
554C4×C22⋊C4C22×C311yescharacteristic, complemented
555C4×C22⋊C4C22×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
569C2×C3×Q8—22no—
570C2×C3×Q8—22no—
571C2×C3×Q8—41no—
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—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—
608C22×C3×C4—22no—
609C22×C3×C4—22no—
610C22×C3×C4—22no—
611C22×C3×C4—22no—
612C22×C3×C4—22no—
613C22×C3×C4—22no—
614C22×C3×C4—22no—
615C22×C3×C4—22no—
616C22×C3×C4—22no—
617C22×C3×C4—22no—
618C22×C3×C4—41no—
619C22×C3×C4—41no—
620C22×C3×C4—41no—
621C22×C3×C4—41no—
622C22×C3×C4—41no—
623C22×C3×C4—41no—
624C22×C3×C4—41no—
625C22×C3×C4—41no—
626C22×C3×C4—41no—
627C22×C3×C4—41no—
628C22×C3×C4—41no—
629C22×C3×C4—41no—
630C22×C3×C4—41no—
631C22×C3×C4—41no—
632C22×C3×C4—41no—
633C22×C3×C4—41no—
634C22×C3×C4#4114yes—
635C22×C3×C4C2411yescharacteristic
636C22×C3×C4C2411yescharacteristic
637C22×C3×C4C2411yescharacteristic
638C22×C3×C4C2411yescharacteristic
639C22×C3×C4C2411yescharacteristic
640C22×C3×C4C2411yescharacteristic
641C22×C3×C4C2411yescharacteristic
642C22×C3×C4C2411yescharacteristic
643C22×C3×C4C2411yescharacteristic
644C22×C3×C4C2411yescharacteristic
645C22×C3×C4C2411yescharacteristic
646C22×C3×C4C2411yescharacteristic
647C22×C3×C4C2411yescharacteristic
648C22×C3×C4C2411yescharacteristic
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
660C3×C4⋊C4—22no—
661C3×C4⋊C4—22no—
662C3×C4⋊C4—22no—
663C3×C4⋊C4—22no—
664C3×C4⋊C4—22no—
665C3×C4⋊C4—22no—
666C3×C4⋊C4—22no—
667C3×C4⋊C4—22no—
668C3×C4⋊C4—22no—
669C3×C4⋊C4—22no—
670C3×C4⋊C4—22no—
671C3×C4⋊C4—22no—
672C3×C4⋊C4—22no—
673C3×C4⋊C4—22no—
674C3×C4⋊C4—22no—
675C3×C4⋊C4—22no—
676C3×C4⋊C4—41no—
677C3×C4⋊C4—41no—
678C3×C4⋊C4—41no—
679C3×C4⋊C4—41no—
680C3×C4⋊C4—41no—
681C3×C4⋊C4—41no—
682C3×C4⋊C4—41no—
683C3×C4⋊C4—41no—
684C3×C4⋊C4—41no—
685C3×C4⋊C4—41no—
686C3×C4⋊C4—41no—
687C3×C22⋊C4—22no—
688C3×C22⋊C4—22no—
689C3×C22⋊C4—22no—
690C3×C22⋊C4—22no—
691C3×C22⋊C4—22no—
692C3×C22⋊C4—22no—
693C3×C22⋊C4—22no—
694C3×C22⋊C4—22no—
695C3×C22⋊C4—22no—
696C3×C22⋊C4—22no—
697C3×C22⋊C4—22no—
698C3×C22⋊C4—22no—
699C3×C22⋊C4—22no—
700C3×C22⋊C4—22no—
701C3×C22⋊C4—22no—
702C3×C22⋊C4—22no—
703C3×C22⋊C4—22no—
704C3×C22⋊C4—22no—
705C3×C22⋊C4—22no—
706C3×C22⋊C4—22no—
707C3×C22⋊C4—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#4114yes—
740C3×C22⋊C4#4114yes—
741C3×C42—22no—
742C3×C42—22no—
743C3×C42—22no—
744C3×C42—41no—
745C3×C42—41no—
746C3×C42—41no—
747C3×C42—41no—
748C3×C42—41no—
749C3×C42—41no—
750C3×C42—41no—
751C3×C42—41no—
752C3×C42—41no—
753C3×C42—41no—
754C3×C42—41no—
755C3×C42—41no—
756C3×C42—41no—
757C3×C42—41no—
758C25C23×C311yescharacteristic
759C22×Q8C23×C311yescharacteristic
760C22×D4C23×C311yescharacteristic
761C22×D4C23×C311yescharacteristic
762C22×D4C23×C311yescharacteristic
763C22×D4C23×C311yescharacteristic
764C22×D4C23×C311yescharacteristic
765C22×D4C23×C311yescharacteristic
766C22×D4C23×C311yescharacteristic
767C22×D4C23×C311yescharacteristic
768C22×D4C23×C311yescharacteristic
769C22×D4C23×C311yescharacteristic
770C22×D4C23×C311yescharacteristic
771C22×D4C23×C311yescharacteristic
772C23×C4C23×C311yescharacteristic
773C23×C4C23×C311yescharacteristic
774C23×C4C23×C311yescharacteristic
775C23×C4C23×C311yescharacteristic
776C23×C4C23×C311yescharacteristic
777C23×C4C23×C311yescharacteristic
778C23×C4C23×C311yescharacteristic
779C23×C4C23×C311yescharacteristic
780C23×C4C23×C311yescharacteristic
781#125—42no—
782#124—24no—
783#124—42no—
784#123—24no—
785#123—24no—
786#123—42no—
787#123—42no—
788C22⋊Q8—42no—
789#121—24no—
790#121—24no—
791#121—24no—
792#121—42no—
793#121—42no—
794#120—42no—
795#120—42no—
796#120—42no—
797C4×Q8—42no—
798C4×D4—42no—
799C4×D4—42no—
800C4×D4—42no—
801C4×D4—42no—
802#117—42no—
803#117—42no—
804#117—42no—
805C2×C4⋊C4C23×C311yescharacteristic
806C2×C4⋊C4C23×C311yescharacteristic
807C2×C4⋊C4C23×C311yescharacteristic
808C2×C4⋊C4C23×C311yescharacteristic
809C2×C4⋊C4C23×C311yescharacteristic
810C2×C4⋊C4C23×C311yescharacteristic
811C2×C4⋊C4C23×C311yescharacteristic
812C2×C4⋊C4C23×C311yescharacteristic
813C2×C4⋊C4C23×C311yescharacteristic
814C2×C4⋊C4C23×C311yescharacteristic
815C2×C4⋊C4C23×C311yescharacteristic
816C2×C4⋊C4C23×C311yescharacteristic
817C2×C4⋊C4C23×C311yescharacteristic
818C2×C4⋊C4C23×C311yescharacteristic
819C2×C4⋊C4C23×C311yescharacteristic
820C2×C4⋊C4C23×C311yescharacteristic
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×C22⋊C4—24no—
833C2×C22⋊C4—24no—
834C2×C22⋊C4—24no—
835C2×C22⋊C4C23×C311yescharacteristic
836C2×C22⋊C4C23×C311yescharacteristic
837C2×C22⋊C4C23×C311yescharacteristic
838C2×C22⋊C4C23×C311yescharacteristic
839C2×C22⋊C4C23×C311yescharacteristic
840C2×C22⋊C4C23×C311yescharacteristic
841C2×C22⋊C4C23×C311yescharacteristic
842C2×C22⋊C4C23×C311yescharacteristic
843C2×C22⋊C4C23×C311yescharacteristic
844C2×C22⋊C4C23×C311yescharacteristic
845C2×C22⋊C4C23×C311yescharacteristic
846C2×C22⋊C4C23×C311yescharacteristic
847C2×C22⋊C4C23×C311yescharacteristic
848C2×C22⋊C4C23×C311yescharacteristic
849C2×C22⋊C4C23×C311yescharacteristic
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×C42C23×C311yescharacteristic
890C2×C42C23×C311yescharacteristic
891C2×C42C23×C311yescharacteristic
892C2×C42C23×C311yescharacteristic
893C2×C42C23×C311yescharacteristic
894C2×C42C23×C311yescharacteristic
895C2×C42C23×C311yescharacteristic
896C2×C42C23×C311yescharacteristic
897C2×C42C23×C311yescharacteristic
898C2×C42C23×C311yescharacteristic
899C2×C42C23×C311yescharacteristic
900C2×C42C23×C311yescharacteristic
901C2×C42C23×C311yescharacteristic
902C2×C42C23×C311yescharacteristic
903C2×C42C23×C311yescharacteristic
904C2×C42C23×C311yescharacteristic
905C2×C42C23×C311yescharacteristic
906#95C23×C311yescharacteristic
907#95C23×C311yescharacteristic
908#95C23×C311yescharacteristic
909#95C23×C311yescharacteristic
910#95C23×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
940C23×C3—28no—
941C23×C3—21no—
942C23×C3—21no—
943C23×C3—21no—
944C23×C3—21no—
945C23×C3—21no—
946C23×C3—21no—
947C23×C3—21no—
948C23×C3—21no—
949C23×C3—21no—
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—82no—
981C23×C3—82no—
982C23×C3—82no—
983C23×C3—82no—
984C23×C3—82no—
985C23×C3—82no—
986C23×C3C2×#4112yes—
987C23×C3C2×#4112yes—
988C23×C3C2×#4112yes—
989C23×C3C2511yescharacteristic
990C3×Q8—44no—
991C3×D4—44no—
992C3×D4—44no—
993C3×D4—44no—
994C3×D4—44no—
995C3×D4—82no—
996C3×D4—82no—
997C3×D4—82no—
998C3×D4—82no—
999C3×D4—82no—
1000C3×D4—82no—
1001C3×D4—82no—
1002C3×D4—82no—
1003C2×C3×C4—21no—
1004C2×C3×C4—21no—
1005C2×C3×C4—21no—
1006C2×C3×C4—21no—
1007C2×C3×C4—21no—
1008C2×C3×C4—21no—
1009C2×C3×C4—21no—
1010C2×C3×C4—21no—
1011C2×C3×C4—21no—
1012C2×C3×C4—21no—
1013C2×C3×C4—21no—
1014C2×C3×C4—21no—
1015C2×C3×C4—21no—
1016C2×C3×C4—21no—
1017C2×C3×C4—21no—
1018C2×C3×C4—21no—
1019C2×C3×C4—21no—
1020C2×C3×C4—21no—
1021C2×C3×C4—21no—
1022C2×C3×C4—21no—
1023C2×C3×C4—21no—
1024C2×C3×C4—21no—
1025C2×C3×C4—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—44no—
1070C2×C3×C4—44no—
1071C2×C3×C4—44no—
1072C2×C3×C4—82no—
1073C2×C3×C4—82no—
1074C2×C3×C4—82no—
1075C2×C3×C4—82no—
1076C2×C3×C4—82no—
1077C2×C3×C4—82no—
1078C2×C3×C4C2×#4112yes—
1079C2×C3×C4C2×#4112yes—
1080C2×C3×C4C2×#4112yes—
1081C2×C3×C4C2×#4112yes—
1082C2×C3×C4C2×#4112yes—
1083C2×C3×C4C2×#4112yes—
1084C2×C3×C4H(5,𝔽2)12yes—
1085C2×C3×C4H(5,𝔽2)12yes—
1086C2×C3×C4H(5,𝔽2)12yes—
1087C24—22no—
1088C24—22no—
1089C24—22no—
1090C24—41no—
1091C24—41no—
1092C24—41no—
1093C24—41no—
1094C24C24×C311yescharacteristic
1095C24C24×C311yescharacteristic
1096C24C24×C311yescharacteristic
1097C24C24×C311yescharacteristic
1098C24C24×C311yescharacteristic
1099C24C24×C311yescharacteristic
1100C2×Q8—22no—
1101C2×Q8—22no—
1102C2×Q8—41no—
1103C2×D4—22no—
1104C2×D4—22no—
1105C2×D4—22no—
1106C2×D4—22no—
1107C2×D4—22no—
1108C2×D4—22no—
1109C2×D4—22no—
1110C2×D4—22no—
1111C2×D4—22no—
1112C2×D4—22no—
1113C2×D4—22no—
1114C2×D4—22no—
1115C2×D4—22no—
1116C2×D4—22no—
1117C2×D4—22no—
1118C2×D4—41no—
1119C2×D4—41no—
1120C2×D4—41no—
1121C2×D4—41no—
1122C2×D4—41no—
1123C2×D4—41no—
1124C2×D4—41no—
1125C2×D4—41no—
1126C2×D4—41no—
1127C2×D4—41no—
1128C2×D4—41no—
1129C2×D4—41no—
1130C2×D4—41no—
1131C2×D4—41no—
1132C2×D4—41no—
1133C2×D4—41no—
1134C2×D4—41no—
1135C2×D4—41no—
1136C2×D4—41no—
1137C2×D4—41no—
1138C2×D4—41no—
1139C22×C4—22no—
1140C22×C4—22no—
1141C22×C4—22no—
1142C22×C4—22no—
1143C22×C4—22no—
1144C22×C4—22no—
1145C22×C4—22no—
1146C22×C4—22no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—41no—
1150C22×C4—41no—
1151C22×C4—41no—
1152C22×C4—41no—
1153C22×C4—41no—
1154C22×C4—41no—
1155C22×C4—41no—
1156C22×C4—41no—
1157C22×C4—41no—
1158C22×C4—41no—
1159C22×C4—41no—
1160C22×C4—41no—
1161C22×C4—41no—
1162C22×C4—41no—
1163C22×C4—41no—
1164C22×C4—41no—
1165C22×C4C3×#4114yes—
1166C22×C4C24×C311yescharacteristic
1167C22×C4C24×C311yescharacteristic
1168C22×C4C24×C311yescharacteristic
1169C22×C4C24×C311yescharacteristic
1170C22×C4C24×C311yescharacteristic
1171C22×C4C24×C311yescharacteristic
1172C22×C4C24×C311yescharacteristic
1173C22×C4C24×C311yescharacteristic
1174C22×C4C24×C311yescharacteristic
1175C22×C4C24×C311yescharacteristic
1176C22×C4C24×C311yescharacteristic
1177C22×C4C24×C311yescharacteristic
1178C22×C4C24×C311yescharacteristic
1179C22×C4C24×C311yescharacteristic
1180C22×C4C24×C311yescharacteristic
1181C22×C4C24×C311yescharacteristic
1182C22×C4C24×C311yescharacteristic
1183C22×C4C24×C311yescharacteristic
1184C22×C4C24×C311yescharacteristic
1185C22×C4C24×C311yescharacteristic
1186C22×C4C24×C311yescharacteristic
1187C22×C4C24×C311yescharacteristic
1188C22×C4C24×C311yescharacteristic
1189C22×C4C24×C311yescharacteristic
1190C22×C4C24×C311yescharacteristic
1191C4⋊C4—22no—
1192C4⋊C4—22no—
1193C4⋊C4—22no—
1194C4⋊C4—22no—
1195C4⋊C4—22no—
1196C4⋊C4—22no—
1197C4⋊C4—22no—
1198C4⋊C4—22no—
1199C4⋊C4—22no—
1200C4⋊C4—22no—
1201C4⋊C4—22no—
1202C4⋊C4—22no—
1203C4⋊C4—22no—
1204C4⋊C4—22no—
1205C4⋊C4—22no—
1206C4⋊C4—22no—
1207C4⋊C4—41no—
1208C4⋊C4—41no—
1209C4⋊C4—41no—
1210C4⋊C4—41no—
1211C4⋊C4—41no—
1212C4⋊C4—41no—
1213C4⋊C4—41no—
1214C4⋊C4—41no—
1215C4⋊C4—41no—
1216C4⋊C4—41no—
1217C4⋊C4—41no—
1218C22⋊C4—22no—
1219C22⋊C4—22no—
1220C22⋊C4—22no—
1221C22⋊C4—22no—
1222C22⋊C4—22no—
1223C22⋊C4—22no—
1224C22⋊C4—22no—
1225C22⋊C4—22no—
1226C22⋊C4—22no—
1227C22⋊C4—22no—
1228C22⋊C4—22no—
1229C22⋊C4—22no—
1230C22⋊C4—22no—
1231C22⋊C4—22no—
1232C22⋊C4—22no—
1233C22⋊C4—22no—
1234C22⋊C4—22no—
1235C22⋊C4—22no—
1236C22⋊C4—22no—
1237C22⋊C4—22no—
1238C22⋊C4—22no—
1239C22⋊C4—22no—
1240C22⋊C4—22no—
1241C22⋊C4—22no—
1242C22⋊C4—22no—
1243C22⋊C4—22no—
1244C22⋊C4—22no—
1245C22⋊C4—22no—
1246C22⋊C4—22no—
1247C22⋊C4—22no—
1248C22⋊C4—22no—
1249C22⋊C4—22no—
1250C22⋊C4—41no—
1251C22⋊C4—41no—
1252C22⋊C4—41no—
1253C22⋊C4—41no—
1254C22⋊C4—41no—
1255C22⋊C4—41no—
1256C22⋊C4—41no—
1257C22⋊C4—41no—
1258C22⋊C4—41no—
1259C22⋊C4—41no—
1260C22⋊C4—41no—
1261C22⋊C4—41no—
1262C22⋊C4—41no—
1263C22⋊C4—41no—
1264C22⋊C4—41no—
1265C22⋊C4—41no—
1266C22⋊C4—41no—
1267C22⋊C4—41no—
1268C22⋊C4—41no—
1269C22⋊C4—41no—
1270C22⋊C4C3×#4114yes—
1271C22⋊C4C3×#4114yes—
1272C42—22no—
1273C42—22no—
1274C42—22no—
1275C42—41no—
1276C42—41no—
1277C42—41no—
1278C42—41no—
1279C42—41no—
1280C42—41no—
1281C42—41no—
1282C42—41no—
1283C42—41no—
1284C42—41no—
1285C42—41no—
1286C42—41no—
1287C42—41no—
1288C42—41no—
1289C22×C3—22no—
1290C22×C3—22no—
1291C22×C3—22no—
1292C22×C3—22no—
1293C22×C3—22no—
1294C22×C3—22no—
1295C22×C3—22no—
1296C22×C3—22no—
1297C22×C3—22no—
1298C22×C3—41no—
1299C22×C3—41no—
1300C22×C3—41no—
1301C22×C3—41no—
1302C22×C3—41no—
1303C22×C3—41no—
1304C22×C3—41no—
1305C22×C3—41no—
1306C22×C3—41no—
1307C22×C3—41no—
1308C22×C3—41no—
1309C22×C3—41no—
1310C22×C3—41no—
1311C22×C3—41no—
1312C22×C3—41no—
1313C22×C3—41no—
1314C22×C3—41no—
1315C22×C3—41no—
1316C22×C3—41no—
1317C22×C3—41no—
1318C22×C3—41no—
1319C22×C3—41no—
1320C22×C3—41no—
1321C22×C3—41no—
1322C22×C3—41no—
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—88no—
1332C22×C3C22×#4111yescharacteristic
1333C22×C3C22×#4111yescharacteristic
1334C22×C3C22×#4111yescharacteristic
1335C22×C3C2×H(5,𝔽2)11yescharacteristic
1336C22×C3C2×H(5,𝔽2)11yescharacteristic
1337C22×C3C2×H(5,𝔽2)11yescharacteristic
1338C22×C3#58511yescharacteristic
1339C3×C4—22no—
1340C3×C4—22no—
1341C3×C4—22no—
1342C3×C4—22no—
1343C3×C4—22no—
1344C3×C4—22no—
1345C3×C4—22no—
1346C3×C4—22no—
1347C3×C4—22no—
1348C3×C4—41no—
1349C3×C4—41no—
1350C3×C4—41no—
1351C3×C4—41no—
1352C3×C4—41no—
1353C3×C4—41no—
1354C3×C4—41no—
1355C3×C4—41no—
1356C3×C4—41no—
1357C3×C4—41no—
1358C3×C4—41no—
1359C3×C4—41no—
1360C3×C4—41no—
1361C3×C4—41no—
1362C3×C4—41no—
1363C3×C4—41no—
1364C23—28no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—21no—
1370C23—21no—
1371C23—21no—
1372C23—21no—
1373C23—21no—
1374C23—21no—
1375C23—21no—
1376C23—21no—
1377C23—21no—
1378C23—21no—
1379C23—21no—
1380C23—21no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—82no—
1405C23—82no—
1406C23—82no—
1407C23—82no—
1408C23—82no—
1409C23—82no—
1410C23C2×C3×#4112yes—
1411C23C2×C3×#4112yes—
1412C23C2×C3×#4112yes—
1413C23C25×C311yescharacteristic
1414Q8—44no—
1415D4—44no—
1416D4—44no—
1417D4—44no—
1418D4—44no—
1419D4—82no—
1420D4—82no—
1421D4—82no—
1422D4—82no—
1423D4—82no—
1424D4—82no—
1425D4—82no—
1426D4—82no—
1427C2×C4—21no—
1428C2×C4—21no—
1429C2×C4—21no—
1430C2×C4—21no—
1431C2×C4—21no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
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—44no—
1494C2×C4—44no—
1495C2×C4—44no—
1496C2×C4—82no—
1497C2×C4—82no—
1498C2×C4—82no—
1499C2×C4—82no—
1500C2×C4—82no—
1501C2×C4—82no—
1502C2×C4C2×C3×#4112yes—
1503C2×C4C2×C3×#4112yes—
1504C2×C4C2×C3×#4112yes—
1505C2×C4C2×C3×#4112yes—
1506C2×C4C2×C3×#4112yes—
1507C2×C4C2×C3×#4112yes—
1508C2×C4C3×H(5,𝔽2)12yes—
1509C2×C4C3×H(5,𝔽2)12yes—
1510C2×C4C3×H(5,𝔽2)12yes—
1511C2×C3—42no—
1512C2×C3—42no—
1513C2×C3—42no—
1514C2×C3—81no—
1515C2×C3—81no—
1516C2×C3—81no—
1517C2×C3#344411yescharacteristic
1518C2×C3#350511yescharacteristic
1519C2×C3#350811yescharacteristic
1520C2×C3#351311yescharacteristic
1521C2×C3#351411yescharacteristic
1522C2×C3#351911yescharacteristic
1523C2×C3#351911yescharacteristic
1524C22—22no—
1525C22—22no—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—41no—
1534C22—41no—
1535C22—41no—
1536C22—41no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—41no—
1551C22—41no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—88no—
1567C22C22×C3×#4111yescharacteristic
1568C22C22×C3×#4111yescharacteristic
1569C22C22×C3×#4111yescharacteristic
1570C22C2×C3×H(5,𝔽2)11yescharacteristic
1571C22C2×C3×H(5,𝔽2)11yescharacteristic
1572C22C2×C3×H(5,𝔽2)11yescharacteristic
1573C22C3×#58511yescharacteristic
1574C4—22no—
1575C4—22no—
1576C4—22no—
1577C4—22no—
1578C4—22no—
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—41no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C3#3586311yescharacteristic, direct product factor, Sylow
1600C2—42no—
1601C2—42no—
1602C2—42no—
1603C2—81no—
1604C2—81no—
1605C2—81no—
1606C2C3×#344411yescharacteristic
1607C2C3×#350511yescharacteristic
1608C2C3×#350811yescharacteristic
1609C2C3×#351311yescharacteristic
1610C2C3×#351411yescharacteristic
1611C2C3×#351911yescharacteristic
1612C2C3×#351911yescharacteristic
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×#2661C2semidirect
2. C3×#2649C2semidirect
3. C3×#2648C2semidirect
4. C3×#2597C2semidirect
5. C3×#2595C2semidirect
6. C3×#2558C2semidirect
7. C3×#2557C2semidirect
8. C3×#2556C2semidirect
9. C3×#2555C2semidirect
10. C3×#2539C2semidirect
11. C3×#2522C2semidirect
12. C3×#2490C2semidirect
13. C3×#2472C2semidirect
14. C3×#2471C2semidirect
15. C3×#2470C2semidirect
16. C3×#2464C2semidirect
17. C3×#2426C2semidirect
18. C3×#2424C2semidirect
19. C3×#2424C2semidirect
20. C3×#2418C2semidirect
21. C3×#2411C2semidirect
22. C3×#2396C2semidirect
23. C3×#2395C2semidirect
24. C3×#2392C2semidirect
25. C3×#2374C2semidirect
26. C3×#2374C2semidirect
27. C3×#2367C2semidirect
28. C3×#2363C2semidirect
29. C3×#2363C2semidirect
30. C3×#2363C2semidirect
31. C3×#2273C2semidirect
32. #35863C3direct (N × H)
33. C2×C3×#125C22semidirect
35. C2×C3×#124C22semidirect
49. C2×C3×C4×Q8C22semidirect
53. C2×C3×C4×D4C22semidirect
55. C2×C3×#117C22semidirect
56. C2×C3×#117C22semidirect
60. C3×#400C22semidirect
61. C3×#400C22semidirect
62. C3×#400C22semidirect
66. C3×#398C22semidirect
67. C3×#398C22semidirect
68. C3×#398C22semidirect
71. C3×#397C22semidirect
72. C3×#397C22semidirect
73. C3×#397C22semidirect
74. C3×#397C22semidirect
75. C3×#397C22semidirect
80. C3×#396C22semidirect
81. C3×#396C22semidirect
82. C3×#395C22semidirect
93. C3×#394C22semidirect
99. C3×#392C22semidirect
100. C3×#391C22semidirect
110. C3×#390C22semidirect
111. C3×#390C22semidirect
112. C3×#390C22semidirect
113. C3×#390C22semidirect
114. C3×#389C22semidirect
115. C3×#389C22semidirect
116. C3×#389C22semidirect
117. C3×#389C22semidirect
126. C3×#388C22semidirect
127. C3×#388C22semidirect
128. C3×#388C22semidirect
129. C3×#388C22semidirect
130. C3×#388C22semidirect
131. C3×#388C22semidirect
132. C3×#388C22semidirect
133. C3×#388C22semidirect
134. C3×#388C22semidirect
135. C3×#388C22semidirect
136. C3×#388C22semidirect
137. C3×#388C22semidirect
138. C3×#387C22semidirect
139. C3×#387C22semidirect
140. C3×#387C22semidirect
141. C3×#387C22semidirect
142. C3×#387C22semidirect
143. C3×#387C22semidirect
153. C3×#386C22semidirect
154. C3×#386C22semidirect
159. C3×#385C22semidirect
162. C3×C4×C4⋊C4C22semidirect
163. C3×C4×C4⋊C4C22semidirect
164. C3×C4×C4⋊C4C22semidirect
165. C3×C4×C4⋊C4C22semidirect
166. C3×C4×C4⋊C4C22semidirect
167. C3×C4×C4⋊C4C22semidirect
168. C3×C4×C4⋊C4C22semidirect
183. C3×C4×C22⋊C4C22semidirect
184. C3×C4×C22⋊C4C22semidirect
185. C3×C4×C22⋊C4C22semidirect
186. C3×C4×C22⋊C4C22semidirect
187. C3×C4×C22⋊C4C22semidirect
188. #2661C2×C3semidirect
189. #2649C2×C3semidirect
190. #2648C2×C3semidirect
191. #2597C2×C3semidirect
192. #2595C2×C3semidirect
193. #2558C2×C3semidirect
194. #2557C2×C3semidirect
195. #2556C2×C3semidirect
196. #2555C2×C3semidirect
197. #2539C2×C3semidirect
198. #2522C2×C3semidirect
199. #2490C2×C3semidirect
200. #2472C2×C3semidirect
201. #2471C2×C3semidirect
202. #2470C2×C3semidirect
203. #2464C2×C3semidirect
204. #2426C2×C3semidirect
205. #2424C2×C3semidirect
206. #2424C2×C3semidirect
207. #2418C2×C3semidirect
208. #2411C2×C3semidirect
209. #2396C2×C3semidirect
210. #2395C2×C3semidirect
211. #2392C2×C3semidirect
212. #2374C2×C3semidirect
213. #2374C2×C3semidirect
214. #2367C2×C3semidirect
215. #2363C2×C3semidirect
216. #2363C2×C3semidirect
217. #2363C2×C3semidirect
218. #2273C2×C3semidirect
401. C2×#125C22×C3semidirect
403. C2×#124C22×C3semidirect
417. C2×C4×Q8C22×C3semidirect
421. C2×C4×D4C22×C3semidirect
423. C2×#117C22×C3semidirect
424. C2×#117C22×C3semidirect
428. #400C22×C3semidirect
429. #400C22×C3semidirect
430. #400C22×C3semidirect
434. #398C22×C3semidirect
435. #398C22×C3semidirect
436. #398C22×C3semidirect
439. #397C22×C3semidirect
440. #397C22×C3semidirect
441. #397C22×C3semidirect
442. #397C22×C3semidirect
443. #397C22×C3semidirect
448. #396C22×C3semidirect
449. #396C22×C3semidirect
450. #395C22×C3semidirect
461. #394C22×C3semidirect
467. #392C22×C3semidirect
468. #391C22×C3semidirect
478. #390C22×C3semidirect
479. #390C22×C3semidirect
480. #390C22×C3semidirect
481. #390C22×C3semidirect
482. #389C22×C3semidirect
483. #389C22×C3semidirect
484. #389C22×C3semidirect
485. #389C22×C3semidirect
494. #388C22×C3semidirect
495. #388C22×C3semidirect
496. #388C22×C3semidirect
497. #388C22×C3semidirect
498. #388C22×C3semidirect
499. #388C22×C3semidirect
500. #388C22×C3semidirect
501. #388C22×C3semidirect
502. #388C22×C3semidirect
503. #388C22×C3semidirect
504. #388C22×C3semidirect
505. #388C22×C3semidirect
506. #387C22×C3semidirect
507. #387C22×C3semidirect
508. #387C22×C3semidirect
509. #387C22×C3semidirect
510. #387C22×C3semidirect
511. #387C22×C3semidirect
521. #386C22×C3semidirect
522. #386C22×C3semidirect
527. #385C22×C3semidirect
530. C4×C4⋊C4C22×C3semidirect
531. C4×C4⋊C4C22×C3semidirect
532. C4×C4⋊C4C22×C3semidirect
533. C4×C4⋊C4C22×C3semidirect
534. C4×C4⋊C4C22×C3semidirect
535. C4×C4⋊C4C22×C3semidirect
536. C4×C4⋊C4C22×C3semidirect
551. C4×C22⋊C4C22×C3semidirect
552. C4×C22⋊C4C22×C3semidirect
553. C4×C22⋊C4C22×C3semidirect
554. C4×C22⋊C4C22×C3semidirect
555. C4×C22⋊C4C22×C3semidirect
1599. C3#35863direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#26612
C3×#26492
C3×#26482
C3×#25972
C3×#25952
C3×#25582
C3×#25572
C3×#25562
C3×#25552
C3×#25392
C3×#25222
C3×#24902
C3×#24722
C3×#24712
C3×#24702
C3×#24642
C3×#24262
C3×#24242
C3×#24182
C3×#24112
C3×#23962
C3×#23952
C3×#23922
C3×#23742
C3×#23672
C3×#23632
C3×#22732
#358633