Finite Group Databasebeta

← C2×C3×#23996 #72270237

Subgroups — C2×C3×#23996 #72270237

Order 1536.

9400 conjugacy classes of subgroups.

The subgroup lattice has 2338 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#3490C211yesmaximal, characteristic, complemented
2C2×C3×#3026C211yesmaximal, characteristic, complemented
3C22×C3×B(4,𝔽2)C211yesmaximal, characteristic, complemented
4C2×C3×#2883C211yesmaximal, characteristic, complemented
5C3×#23996C2116yesmaximal, direct product factor
6C2×C3×#2032C212yesmaximal, complemented
7C2×C3×#2021C212yesmaximal, complemented
8C2×C3×#1913C212yesmaximal, complemented
9C2×C3×#1913C211yesmaximal, characteristic, complemented
10C2×C3×#1898C212yesmaximal, complemented
11C2×C3×#1889C211yesmaximal, characteristic, complemented
12C2×C3×#1828C211yesmaximal, characteristic, complemented
13C2×#23996C311yesmaximal, characteristic, direct product factor, Sylow
14C22×C3×H(5,𝔽2)C2211yescharacteristic
15C3×#3490—24no—
16C3×#3490—24no—
17C3×#3490—24no—
18C3×#3490C2218yescomplemented
19C2×C3×#551—22no—
20C2×C3×#551—22no—
21C2×C3×#546—22no—
22C2×C3×#546—22no—
23C2×C3×#543C2211yescharacteristic, complemented
24C2×C3×#538—22no—
25C2×C3×#534C2212yes—
26C2×C3×#534C2211yescharacteristic
27C2×C3×#525—22no—
28C22×C3×#120C2212yes—
29C22×C3×#120C2211yescharacteristic
30C22×C3×#120C2211yescharacteristic, complemented
31C2×C3×#518C2211yescharacteristic
32C2×C3×#518C2211yescharacteristic
33C2×C3×#518C2211yescharacteristic, complemented
34C23×C3×C22⋊C4C2211yescharacteristic, complemented
35C3×#3026—24no—
36C3×#3026C2218yescomplemented
37C2×C3×#458—22no—
38C2×C3×B(4,𝔽2)—22no—
39C2×C3×B(4,𝔽2)—22no—
40C2×C3×B(4,𝔽2)—24no—
41C2×C3×B(4,𝔽2)—22no—
42C2×C3×B(4,𝔽2)C2218yescomplemented
43C3×#2883—24no—
44C3×#2883C2218yescomplemented
45C2×C3×#410—22no—
46C22×C3×#99—22no—
47C22×C3×#99C2212yes—
48C22×C3×#99C2212yes—
49C22×C3×#99C2211yescharacteristic
50C22×C3×#99C2212yes—
51C22×C3×#99C2212yes—
52C22×C3×#99C2211yescharacteristic
53C22×C3×#99C2212yescomplemented
54C2×C3×#379C2212yescomplemented
55C3×#2032C22116yescomplemented
56C3×#2021C22116yescomplemented
57C3×#1913C22116yescomplemented
58C3×#1913C2218yescomplemented
59C3×#1898C22116yescomplemented
60C3×#1889C2218yescomplemented
61C3×#1828C2218yescomplemented
62C2×C3×#342C2212yescomplemented
63C2×C3×#342C2212yescomplemented
64C2×C3×#342C2212yescomplemented
65C2×C3×#342C2212yescomplemented
66C2×#3490C2×C311yescharacteristic, complemented
67C2×#3026C2×C311yescharacteristic, complemented
68C22×B(4,𝔽2)C2×C311yescharacteristic, complemented
69C2×#2883C2×C311yescharacteristic, complemented
70#23996C2×C3116yesdirect product factor
71C2×#2032C2×C312yescomplemented
72C2×#2021C2×C312yescomplemented
73C2×#1913C2×C312yescomplemented
74C2×#1913C2×C311yescharacteristic, complemented
75C2×#1898C2×C312yescomplemented
76C2×#1889C2×C311yescharacteristic, complemented
77C2×#1828C2×C311yescharacteristic, complemented
78C26×C3C2311yescharacteristic
79C2×C3×H(5,𝔽2)—22no—
80C2×C3×H(5,𝔽2)—24no—
81C2×C3×H(5,𝔽2)—22no—
82C2×C3×H(5,𝔽2)—22no—
83C2×C3×H(5,𝔽2)—22no—
84C2×C3×H(5,𝔽2)—22no—
85C2×C3×H(5,𝔽2)—42no—
86C2×C3×H(5,𝔽2)—42no—
87C2×C3×H(5,𝔽2)C2314yes—
88C22×C3×#41—22no—
89C22×C3×#41—21no—
90C22×C3×#41—22no—
91C23×C3×D4—21no—
92C23×C3×D4—21no—
93C23×C3×D4—21no—
94C23×C3×D4—22no—
95C23×C3×D4—22no—
96C23×C3×D4C2311yescharacteristic
97C23×C3×D4C2311yescharacteristic
98C23×C3×D4C2312yes—
99C24×C3×C4—21no—
100C3×#551—216no—
101C3×#551—216no—
102C3×#551—216no—
103C3×#551—216no—
104C3×#546—216no—
105C3×#546—216no—
106C3×#546—216no—
107C3×#546—216no—
108C3×#543—22no—
109C3×#543—22no—
110C3×#543—22no—
111C3×#543C2314yescomplemented
112C3×#538—216no—
113C3×#538—216no—
114C3×#534—22no—
115C3×#534—22no—
116C3×#534—24no—
117C3×#534—24no—
118C3×#534—42no—
119C3×#534D414yescomplemented
120C3×#534C2318yes—
121C3×#534C2314yes—
122C2×C3×#126—22no—
123C2×C3×#126—22no—
124C2×C3×#124—22no—
125C2×C3×#124—22no—
126C3×#525—216no—
127C3×#525—216no—
128C2×C3×#123—22no—
129C2×C3×#123—22no—
130C2×C3×#123—22no—
131C2×C3×#123—22no—
132C2×C3×#123—21no—
133C2×C3×#123—22no—
134C2×C3×#123—22no—
135C2×C3×#123D412yescomplemented
136C2×C3×C22⋊Q8—22no—
137C2×C3×C22⋊Q8—22no—
138C2×C3×C22⋊Q8—22no—
139C2×C3×C22⋊Q8—22no—
140C2×C3×#121—22no—
141C2×C3×#121—22no—
142C2×C3×#121—22no—
143C2×C3×#121—22no—
144C2×C3×#121—42no—
145C2×C3×#120—22no—
146C2×C3×#120—22no—
147C2×C3×#120—22no—
148C2×C3×#120—22no—
149C2×C3×#120—24no—
150C2×C3×#120—22no—
151C2×C3×#120—22no—
152C2×C3×#120—21no—
153C2×C3×#120—21no—
154C2×C3×#120—22no—
155C2×C3×#120—21no—
156C2×C3×#120—22no—
157C2×C3×#120—22no—
158C2×C3×#120—24no—
159C2×C3×#120—22no—
160C2×C3×#120—22no—
161C2×C3×#120—42no—
162C2×C3×#120—42no—
163C2×C3×#120D412yescomplemented
164C2×C3×#120D412yescomplemented
165C2×C3×#120D414yescomplemented
166C2×C3×#120D412yescomplemented
167C2×C3×#120C2318yes—
168C2×C3×#120C2314yes—
169C2×C3×#120C2314yescomplemented
170C3×#518—22no—
171C3×#518—22no—
172C3×#518—22no—
173C3×#518—22no—
174C3×#518—22no—
175C3×#518—22no—
176C3×#518—42no—
177C3×#518D414yescomplemented
178C3×#518C2314yes—
179C3×#518C2314yes—
180C3×#518C2314yescomplemented
181C2×C3×C4×D4—22no—
182C2×C3×C4×D4—22no—
183C2×C3×C4×D4—22no—
184C2×C3×C4×D4—22no—
185C2×C3×C4×D4—22no—
186C2×C3×C4×D4—22no—
187C2×C3×C4×D4—42no—
188C2×C3×#117—22no—
189C2×C3×#117—21no—
190C2×C3×#117—21no—
191C2×C3×#117D412yescomplemented
192C22×C3×C22⋊C4—21no—
193C22×C3×C22⋊C4—21no—
194C22×C3×C22⋊C4—22no—
195C22×C3×C22⋊C4—22no—
196C22×C3×C22⋊C4—22no—
197C22×C3×C22⋊C4—22no—
198C22×C3×C22⋊C4—22no—
199C22×C3×C22⋊C4—21no—
200C22×C3×C22⋊C4—22no—
201C22×C3×C22⋊C4—21no—
202C22×C3×C22⋊C4—21no—
203C22×C3×C22⋊C4—42no—
204C22×C3×C22⋊C4D412yescomplemented
205C22×C3×C22⋊C4C2312yes—
206C22×C3×C22⋊C4C2312yes—
207C22×C3×C22⋊C4C2312yes—
208C22×C3×C22⋊C4C2311yescharacteristic
209C22×C3×C22⋊C4C2311yescharacteristic
210C22×C3×C22⋊C4C2311yescharacteristic
211C22×C3×C22⋊C4C2311yescharacteristic
212C22×C3×C22⋊C4C2314yescomplemented
213C3×#458—216no—
214C3×B(4,𝔽2)—216no—
215C3×B(4,𝔽2)—216no—
216C3×B(4,𝔽2)—216no—
217C3×#410—216no—
218C2×C3×#99—22no—
219C2×C3×#99—22no—
220C2×C3×#99—22no—
221C2×C3×#99—22no—
222C2×C3×#99—24no—
223C2×C3×#99—24no—
224C2×C3×#99—24no—
225C2×C3×#99—24no—
226C2×C3×#99—24no—
227C2×C3×#99—24no—
228C2×C3×#99—24no—
229C2×C3×#99—24no—
230C2×C3×#99—216no—
231C2×C3×#99—42no—
232C2×C3×#99—42no—
233C2×C3×#99C2318yes—
234C2×C3×#99C2318yes—
235C2×C3×#99C2318yes—
236C2×C3×#99C2318yes—
237C2×C3×#99C2314yes—
238C2×C3×#99C2314yes—
239C2×C3×#99C2318yescomplemented
240C3×#379—42no—
241C3×#379C2318yescomplemented
242C3×#342C2318yescomplemented
243C3×#342C2318yescomplemented
244C3×#342C2318yescomplemented
245C3×#342C2318yescomplemented
246C22×H(5,𝔽2)C22×C311yescharacteristic
247#3490—24no—
248#3490—24no—
249#3490—24no—
250#3490C22×C318yescomplemented
251C2×#551—22no—
252C2×#551—22no—
253C2×#546—22no—
254C2×#546—22no—
255C2×#543C22×C311yescharacteristic, complemented
256C2×#538—22no—
257C2×#534C22×C312yes—
258C2×#534C22×C311yescharacteristic
259C2×#525—22no—
260C22×#120C22×C312yes—
261C22×#120C22×C311yescharacteristic
262C22×#120C22×C311yescharacteristic, complemented
263C2×#518C22×C311yescharacteristic
264C2×#518C22×C311yescharacteristic
265C2×#518C22×C311yescharacteristic, complemented
266C23×C22⋊C4C22×C311yescharacteristic, complemented
267#3026—24no—
268#3026C22×C318yescomplemented
269C2×#458—22no—
270C2×B(4,𝔽2)—22no—
271C2×B(4,𝔽2)—22no—
272C2×B(4,𝔽2)—24no—
273C2×B(4,𝔽2)—22no—
274C2×B(4,𝔽2)C22×C318yescomplemented
275#2883—24no—
276#2883C22×C318yescomplemented
277C2×#410—22no—
278C22×#99—22no—
279C22×#99C22×C312yes—
280C22×#99C22×C312yes—
281C22×#99C22×C311yescharacteristic
282C22×#99C22×C312yes—
283C22×#99C22×C312yes—
284C22×#99C22×C311yescharacteristic
285C22×#99C22×C312yescomplemented
286C2×#379C22×C312yescomplemented
287#2032C22×C3116yescomplemented
288#2021C22×C3116yescomplemented
289#1913C22×C318yescomplemented
290#1913C22×C3116yescomplemented
291#1898C22×C3116yescomplemented
292#1889C22×C318yescomplemented
293#1828C22×C318yescomplemented
294C2×#342C22×C312yescomplemented
295C2×#342C22×C312yescomplemented
296C2×#342C22×C312yescomplemented
297C2×#342C22×C312yescomplemented
298C25×C3—21no—
299C25×C3—21no—
300C25×C3—21no—
301C25×C3—22no—
302C25×C3—22no—
303C25×C3—21no—
304C25×C3—21no—
305C25×C3—22no—
306C25×C3—22no—
307C25×C3—84no—
308C25×C3C2×D411yescharacteristic
309C25×C3C2×D411yescharacteristic
310C25×C3C2×D411yescharacteristic
311C25×C3C2×D412yes—
312C25×C3C2×D411yescharacteristic
313C25×C3#4112yescomplemented
314C25×C3C2412yes—
315C25×C3C2411yescharacteristic
316C3×H(5,𝔽2)—28no—
317C3×H(5,𝔽2)—28no—
318C3×H(5,𝔽2)—48no—
319C3×H(5,𝔽2)—48no—
320C3×H(5,𝔽2)—48no—
321C3×H(5,𝔽2)—48no—
322C3×H(5,𝔽2)—48no—
323C3×H(5,𝔽2)—48no—
324C3×H(5,𝔽2)—44no—
325C3×H(5,𝔽2)—44no—
326C2×C3×#41—24no—
327C2×C3×#41—28no—
328C2×C3×#41—216no—
329C2×C3×#41—24no—
330C2×C3×#41—28no—
331C2×C3×#41—44no—
332C2×C3×#41—44no—
333C2×C3×#41—44no—
334C2×C3×#41—44no—
335C2×C3×#41—42no—
336C2×C3×#41—42no—
337C2×C3×#41—42no—
338C2×C3×#41—42no—
339C2×C3×#41—88no—
340C22×C3×Q8—21no—
341C22×C3×Q8—22no—
342C22×C3×D4—22no—
343C22×C3×D4—22no—
344C22×C3×D4—22no—
345C22×C3×D4—22no—
346C22×C3×D4—21no—
347C22×C3×D4—22no—
348C22×C3×D4—22no—
349C22×C3×D4—28no—
350C22×C3×D4—24no—
351C22×C3×D4—22no—
352C22×C3×D4—22no—
353C22×C3×D4—24no—
354C22×C3×D4—22no—
355C22×C3×D4—22no—
356C22×C3×D4—22no—
357C22×C3×D4—22no—
358C22×C3×D4—22no—
359C22×C3×D4—21no—
360C22×C3×D4—21no—
361C22×C3×D4—21no—
362C22×C3×D4—21no—
363C22×C3×D4—22no—
364C22×C3×D4—22no—
365C22×C3×D4—22no—
366C22×C3×D4—22no—
367C22×C3×D4—28no—
368C22×C3×D4—22no—
369C22×C3×D4—22no—
370C22×C3×D4—22no—
371C22×C3×D4—22no—
372C22×C3×D4—22no—
373C22×C3×D4—22no—
374C22×C3×D4—22no—
375C22×C3×D4—24no—
376C22×C3×D4—22no—
377C22×C3×D4—24no—
378C22×C3×D4—22no—
379C22×C3×D4—24no—
380C22×C3×D4—24no—
381C22×C3×D4—28no—
382C22×C3×D4—44no—
383C22×C3×D4—44no—
384C22×C3×D4—44no—
385C22×C3×D4—44no—
386C22×C3×D4—42no—
387C22×C3×D4—42no—
388C22×C3×D4—42no—
389C22×C3×D4—42no—
390C22×C3×D4—42no—
391C22×C3×D4—42no—
392C22×C3×D4—44no—
393C22×C3×D4—42no—
394C22×C3×D4—84no—
395C22×C3×D4—84no—
396C22×C3×D4—88no—
397C22×C3×D4C2×D412yes—
398C22×C3×D4C2×D412yes—
399C22×C3×D4C2×D412yes—
400C22×C3×D4C2×D412yes—
401C22×C3×D4C2×D412yes—
402C22×C3×D4C2×D412yes—
403C22×C3×D4#4114yescomplemented
404C22×C3×D4C2412yes—
405C22×C3×D4C2412yes—
406C22×C3×D4C2414yes—
407C23×C3×C4—22no—
408C23×C3×C4—22no—
409C23×C3×C4—21no—
410C23×C3×C4—22no—
411C23×C3×C4—24no—
412C23×C3×C4—22no—
413C23×C3×C4—22no—
414C23×C3×C4—21no—
415C23×C3×C4—21no—
416C23×C3×C4—24no—
417C23×C3×C4—21no—
418C23×C3×C4—21no—
419C23×C3×C4—22no—
420C23×C3×C4—22no—
421C23×C3×C4—22no—
422C23×C3×C4—41no—
423C23×C3×C4—84no—
424C23×C3×C4C2×D411yescharacteristic
425C23×C3×C4C2×D411yescharacteristic
426C23×C3×C4#4112yescomplemented
427C3×#126—216no—
428C3×#126—216no—
429C3×#124—216no—
430C3×#124—216no—
431C3×#123—216no—
432C3×#123—216no—
433C3×#123—216no—
434C3×#123—216no—
435C3×#123—24no—
436C3×#123—24no—
437C3×#123—24no—
438C3×#123—28no—
439C3×#123—28no—
440C3×#123—44no—
441C3×#123—44no—
442C3×#123C2×D418yescomplemented
443C3×C22⋊Q8—28no—
444C3×C22⋊Q8—216no—
445C3×C22⋊Q8—28no—
446C3×C22⋊Q8—28no—
447C3×C22⋊Q8—28no—
448C3×C22⋊Q8—28no—
449C3×C22⋊Q8—28no—
450C3×#121—216no—
451C3×#121—216no—
452C3×#121—216no—
453C3×#121—28no—
454C3×#121—28no—
455C3×#121—48no—
456C3×#121—48no—
457C3×#120—24no—
458C3×#120—24no—
459C3×#120—28no—
460C3×#120—24no—
461C3×#120—24no—
462C3×#120—24no—
463C3×#120—24no—
464C3×#120—24no—
465C3×#120—24no—
466C3×#120—28no—
467C3×#120—24no—
468C3×#120—28no—
469C3×#120—28no—
470C3×#120—28no—
471C3×#120—28no—
472C3×#120—28no—
473C3×#120—28no—
474C3×#120—48no—
475C3×#120—44no—
476C3×#120—48no—
477C3×#120—44no—
478C3×#120—44no—
479C3×#120—44no—
480C3×#120C2×D418yescomplemented
481C3×#120C2×D418yescomplemented
482C3×#120C2×D418yescomplemented
483C3×C4×D4—28no—
484C3×C4×D4—28no—
485C3×C4×D4—216no—
486C3×C4×D4—216no—
487C3×C4×D4—28no—
488C3×C4×D4—28no—
489C3×C4×D4—28no—
490C3×C4×D4—28no—
491C3×C4×D4—28no—
492C3×C4×D4—28no—
493C3×C4×D4—48no—
494C3×C4×D4—48no—
495C3×#117—24no—
496C3×#117—216no—
497C3×#117—24no—
498C3×#117—24no—
499C3×#117—24no—
500C3×#117—42no—
501C3×#117C2×D418yescomplemented
502C2×C3×C4⋊C4—22no—
503C2×C3×C4⋊C4—22no—
504C2×C3×C4⋊C4—22no—
505C2×C3×C4⋊C4—22no—
506C2×C3×C4⋊C4—22no—
507C2×C3×C4⋊C4—22no—
508C2×C3×C4⋊C4—42no—
509C2×C3×C4⋊C4—41no—
510C2×C3×C22⋊C4—22no—
511C2×C3×C22⋊C4—22no—
512C2×C3×C22⋊C4—24no—
513C2×C3×C22⋊C4—28no—
514C2×C3×C22⋊C4—28no—
515C2×C3×C22⋊C4—22no—
516C2×C3×C22⋊C4—22no—
517C2×C3×C22⋊C4—24no—
518C2×C3×C22⋊C4—22no—
519C2×C3×C22⋊C4—24no—
520C2×C3×C22⋊C4—22no—
521C2×C3×C22⋊C4—24no—
522C2×C3×C22⋊C4—22no—
523C2×C3×C22⋊C4—21no—
524C2×C3×C22⋊C4—21no—
525C2×C3×C22⋊C4—21no—
526C2×C3×C22⋊C4—21no—
527C2×C3×C22⋊C4—21no—
528C2×C3×C22⋊C4—21no—
529C2×C3×C22⋊C4—24no—
530C2×C3×C22⋊C4—21no—
531C2×C3×C22⋊C4—24no—
532C2×C3×C22⋊C4—21no—
533C2×C3×C22⋊C4—21no—
534C2×C3×C22⋊C4—21no—
535C2×C3×C22⋊C4—21no—
536C2×C3×C22⋊C4—21no—
537C2×C3×C22⋊C4—22no—
538C2×C3×C22⋊C4—22no—
539C2×C3×C22⋊C4—24no—
540C2×C3×C22⋊C4—22no—
541C2×C3×C22⋊C4—24no—
542C2×C3×C22⋊C4—24no—
543C2×C3×C22⋊C4—28no—
544C2×C3×C22⋊C4—28no—
545C2×C3×C22⋊C4—22no—
546C2×C3×C22⋊C4—24no—
547C2×C3×C22⋊C4—22no—
548C2×C3×C22⋊C4—22no—
549C2×C3×C22⋊C4—22no—
550C2×C3×C22⋊C4—22no—
551C2×C3×C22⋊C4—22no—
552C2×C3×C22⋊C4—22no—
553C2×C3×C22⋊C4—22no—
554C2×C3×C22⋊C4—22no—
555C2×C3×C22⋊C4—22no—
556C2×C3×C22⋊C4—22no—
557C2×C3×C22⋊C4—22no—
558C2×C3×C22⋊C4—22no—
559C2×C3×C22⋊C4—22no—
560C2×C3×C22⋊C4—22no—
561C2×C3×C22⋊C4—28no—
562C2×C3×C22⋊C4—42no—
563C2×C3×C22⋊C4—42no—
564C2×C3×C22⋊C4—44no—
565C2×C3×C22⋊C4—42no—
566C2×C3×C22⋊C4—42no—
567C2×C3×C22⋊C4—41no—
568C2×C3×C22⋊C4—42no—
569C2×C3×C22⋊C4—48no—
570C2×C3×C22⋊C4—88no—
571C2×C3×C22⋊C4C2×D412yes—
572C2×C3×C22⋊C4C2×D412yes—
573C2×C3×C22⋊C4C2×D412yes—
574C2×C3×C22⋊C4C2×D412yes—
575C2×C3×C22⋊C4C2×D412yes—
576C2×C3×C22⋊C4C2×D412yes—
577C2×C3×C22⋊C4C2×D412yes—
578C2×C3×C22⋊C4C2×D412yes—
579C2×C3×C22⋊C4C2×D418yescomplemented
580C2×C3×C22⋊C4C2414yes—
581C2×C3×C22⋊C4C2414yes—
582C2×C3×C22⋊C4C2414yes—
583C2×C3×C22⋊C4C2412yes—
584C2×C3×C22⋊C4C2412yes—
585C2×C3×C22⋊C4C2412yes—
586C2×C3×C22⋊C4C2412yes—
587C2×C3×C42—22no—
588C2×C3×C42—22no—
589C2×C3×C42—41no—
590C3×#99—28no—
591C3×#99—28no—
592C3×#99—216no—
593C3×#99—216no—
594C3×#99—216no—
595C3×#99—216no—
596C3×#99—48no—
597C26C23×C311yescharacteristic
598C2×H(5,𝔽2)—22no—
599C2×H(5,𝔽2)—24no—
600C2×H(5,𝔽2)—22no—
601C2×H(5,𝔽2)—22no—
602C2×H(5,𝔽2)—22no—
603C2×H(5,𝔽2)—22no—
604C2×H(5,𝔽2)—42no—
605C2×H(5,𝔽2)—42no—
606C2×H(5,𝔽2)C23×C314yes—
607C22×#41—22no—
608C22×#41—21no—
609C22×#41—22no—
610C23×D4—21no—
611C23×D4—22no—
612C23×D4—21no—
613C23×D4—21no—
614C23×D4—22no—
615C23×D4C23×C311yescharacteristic
616C23×D4C23×C311yescharacteristic
617C23×D4C23×C312yes—
618C24×C4—21no—
619#551—216no—
620#551—216no—
621#551—216no—
622#551—216no—
623#546—216no—
624#546—216no—
625#546—216no—
626#546—216no—
627#543—22no—
628#543—22no—
629#543—22no—
630#543C23×C314yescomplemented
631#538—216no—
632#538—216no—
633#534—22no—
634#534—22no—
635#534—24no—
636#534—24no—
637#534—42no—
638#534C3×D414yescomplemented
639#534C23×C318yes—
640#534C23×C314yes—
641C2×#126—22no—
642C2×#126—22no—
643C2×#124—22no—
644C2×#124—22no—
645#525—216no—
646#525—216no—
647C2×#123—22no—
648C2×#123—22no—
649C2×#123—22no—
650C2×#123—22no—
651C2×#123—21no—
652C2×#123—22no—
653C2×#123—22no—
654C2×#123C3×D412yescomplemented
655C2×C22⋊Q8—22no—
656C2×C22⋊Q8—22no—
657C2×C22⋊Q8—22no—
658C2×C22⋊Q8—22no—
659C2×#121—22no—
660C2×#121—22no—
661C2×#121—22no—
662C2×#121—22no—
663C2×#121—42no—
664C2×#120—21no—
665C2×#120—21no—
666C2×#120—22no—
667C2×#120—21no—
668C2×#120—22no—
669C2×#120—22no—
670C2×#120—22no—
671C2×#120—22no—
672C2×#120—24no—
673C2×#120—22no—
674C2×#120—22no—
675C2×#120—22no—
676C2×#120—22no—
677C2×#120—24no—
678C2×#120—22no—
679C2×#120—22no—
680C2×#120—42no—
681C2×#120—42no—
682C2×#120C3×D412yescomplemented
683C2×#120C3×D412yescomplemented
684C2×#120C3×D414yescomplemented
685C2×#120C3×D412yescomplemented
686C2×#120C23×C318yes—
687C2×#120C23×C314yes—
688C2×#120C23×C314yescomplemented
689#518—22no—
690#518—22no—
691#518—22no—
692#518—22no—
693#518—22no—
694#518—22no—
695#518—42no—
696#518C3×D414yescomplemented
697#518C23×C314yes—
698#518C23×C314yes—
699#518C23×C314yescomplemented
700C2×C4×D4—22no—
701C2×C4×D4—22no—
702C2×C4×D4—22no—
703C2×C4×D4—22no—
704C2×C4×D4—22no—
705C2×C4×D4—22no—
706C2×C4×D4—42no—
707C2×#117—22no—
708C2×#117—21no—
709C2×#117—21no—
710C2×#117C3×D412yescomplemented
711C22×C22⋊C4—21no—
712C22×C22⋊C4—22no—
713C22×C22⋊C4—21no—
714C22×C22⋊C4—21no—
715C22×C22⋊C4—21no—
716C22×C22⋊C4—22no—
717C22×C22⋊C4—22no—
718C22×C22⋊C4—22no—
719C22×C22⋊C4—22no—
720C22×C22⋊C4—21no—
721C22×C22⋊C4—22no—
722C22×C22⋊C4—42no—
723C22×C22⋊C4C3×D412yescomplemented
724C22×C22⋊C4C23×C312yes—
725C22×C22⋊C4C23×C312yes—
726C22×C22⋊C4C23×C312yes—
727C22×C22⋊C4C23×C311yescharacteristic
728C22×C22⋊C4C23×C311yescharacteristic
729C22×C22⋊C4C23×C311yescharacteristic
730C22×C22⋊C4C23×C311yescharacteristic
731C22×C22⋊C4C23×C314yescomplemented
732#458—216no—
733B(4,𝔽2)—216no—
734B(4,𝔽2)—216no—
735B(4,𝔽2)—216no—
736#410—216no—
737C2×#99—22no—
738C2×#99—22no—
739C2×#99—22no—
740C2×#99—22no—
741C2×#99—24no—
742C2×#99—24no—
743C2×#99—24no—
744C2×#99—24no—
745C2×#99—24no—
746C2×#99—24no—
747C2×#99—24no—
748C2×#99—24no—
749C2×#99—216no—
750C2×#99—42no—
751C2×#99—42no—
752C2×#99C23×C314yes—
753C2×#99C23×C314yes—
754C2×#99C23×C318yes—
755C2×#99C23×C318yes—
756C2×#99C23×C318yes—
757C2×#99C23×C318yes—
758C2×#99C23×C318yescomplemented
759#379—42no—
760#379C23×C318yescomplemented
761#342C23×C318yescomplemented
762#342C23×C318yescomplemented
763#342C23×C318yescomplemented
764#342C23×C318yescomplemented
765C24×C3—21no—
766C24×C3—22no—
767C24×C3—21no—
768C24×C3—21no—
769C24×C3—21no—
770C24×C3—21no—
771C24×C3—24no—
772C24×C3—21no—
773C24×C3—21no—
774C24×C3—21no—
775C24×C3—22no—
776C24×C3—22no—
777C24×C3—22no—
778C24×C3—22no—
779C24×C3—24no—
780C24×C3—24no—
781C24×C3—22no—
782C24×C3—22no—
783C24×C3—24no—
784C24×C3—24no—
785C24×C3—21no—
786C24×C3—21no—
787C24×C3—22no—
788C24×C3—22no—
789C24×C3—22no—
790C24×C3—22no—
791C24×C3—22no—
792C24×C3—22no—
793C24×C3—22no—
794C24×C3—22no—
795C24×C3—22no—
796C24×C3—44no—
797C24×C3—48no—
798C24×C3—44no—
799C24×C3—44no—
800C24×C3—48no—
801C24×C3—42no—
802C24×C3—42no—
803C24×C3—41no—
804C24×C3—42no—
805C24×C3—41no—
806C24×C3—41no—
807C24×C3—42no—
808C24×C3—41no—
809C24×C3—42no—
810C24×C3—42no—
811C24×C3—42no—
812C24×C3—42no—
813C24×C3—82no—
814C24×C3—84no—
815C24×C3—84no—
816C24×C3—82no—
817C24×C3—84no—
818C24×C3—82no—
819C24×C3—82no—
820C24×C3—84no—
821C24×C3—84no—
822C24×C3—84no—
823C24×C3—88no—
824C24×C3—88no—
825C24×C3—82no—
826C24×C3—82no—
827C24×C3—84no—
828C24×C3—162no—
829C24×C3#12012yes—
830C24×C3#12012yes—
831C24×C3C22×D412yes—
832C24×C3C22×D412yes—
833C24×C3C22×D412yes—
834C24×C3C22×D412yes—
835C24×C3C22×D411yescharacteristic
836C24×C3C22×D411yescharacteristic
837C24×C3C22×D411yescharacteristic
838C24×C3C22×D411yescharacteristic
839C24×C3C22×D411yescharacteristic
840C24×C3C22×D411yescharacteristic
841C24×C3C2×#4112yes—
842C24×C3C2×#4112yes—
843C24×C3C2×#4114yescomplemented
844C24×C3H(5,𝔽2)12yes—
845C24×C3H(5,𝔽2)12yes—
846C24×C3C2511yescharacteristic
847C3×#41—416no—
848C3×#41—416no—
849C3×#41—48no—
850C3×#41—48no—
851C3×#41—48no—
852C3×#41—416no—
853C3×#41—416no—
854C3×#41—48no—
855C3×#41—832no—
856C2×C3×Q8—24no—
857C2×C3×Q8—28no—
858C2×C3×Q8—42no—
859C2×C3×Q8—42no—
860C2×C3×Q8—84no—
861C2×C3×D4—24no—
862C2×C3×D4—24no—
863C2×C3×D4—24no—
864C2×C3×D4—24no—
865C2×C3×D4—24no—
866C2×C3×D4—24no—
867C2×C3×D4—24no—
868C2×C3×D4—24no—
869C2×C3×D4—24no—
870C2×C3×D4—24no—
871C2×C3×D4—24no—
872C2×C3×D4—24no—
873C2×C3×D4—28no—
874C2×C3×D4—24no—
875C2×C3×D4—28no—
876C2×C3×D4—22no—
877C2×C3×D4—22no—
878C2×C3×D4—28no—
879C2×C3×D4—24no—
880C2×C3×D4—24no—
881C2×C3×D4—24no—
882C2×C3×D4—24no—
883C2×C3×D4—24no—
884C2×C3×D4—24no—
885C2×C3×D4—24no—
886C2×C3×D4—24no—
887C2×C3×D4—24no—
888C2×C3×D4—24no—
889C2×C3×D4—24no—
890C2×C3×D4—22no—
891C2×C3×D4—22no—
892C2×C3×D4—24no—
893C2×C3×D4—24no—
894C2×C3×D4—24no—
895C2×C3×D4—24no—
896C2×C3×D4—24no—
897C2×C3×D4—28no—
898C2×C3×D4—28no—
899C2×C3×D4—28no—
900C2×C3×D4—42no—
901C2×C3×D4—42no—
902C2×C3×D4—416no—
903C2×C3×D4—416no—
904C2×C3×D4—416no—
905C2×C3×D4—416no—
906C2×C3×D4—44no—
907C2×C3×D4—44no—
908C2×C3×D4—48no—
909C2×C3×D4—48no—
910C2×C3×D4—48no—
911C2×C3×D4—48no—
912C2×C3×D4—48no—
913C2×C3×D4—42no—
914C2×C3×D4—42no—
915C2×C3×D4—42no—
916C2×C3×D4—42no—
917C2×C3×D4—48no—
918C2×C3×D4—41no—
919C2×C3×D4—42no—
920C2×C3×D4—41no—
921C2×C3×D4—41no—
922C2×C3×D4—42no—
923C2×C3×D4—41no—
924C2×C3×D4—42no—
925C2×C3×D4—42no—
926C2×C3×D4—42no—
927C2×C3×D4—42no—
928C2×C3×D4—42no—
929C2×C3×D4—42no—
930C2×C3×D4—42no—
931C2×C3×D4—42no—
932C2×C3×D4—42no—
933C2×C3×D4—42no—
934C2×C3×D4—42no—
935C2×C3×D4—42no—
936C2×C3×D4—42no—
937C2×C3×D4—42no—
938C2×C3×D4—42no—
939C2×C3×D4—42no—
940C2×C3×D4—48no—
941C2×C3×D4—48no—
942C2×C3×D4—48no—
943C2×C3×D4—84no—
944C2×C3×D4—84no—
945C2×C3×D4—84no—
946C2×C3×D4—88no—
947C2×C3×D4—88no—
948C2×C3×D4—88no—
949C2×C3×D4—88no—
950C2×C3×D4—88no—
951C2×C3×D4—88no—
952C2×C3×D4—816no—
953C2×C3×D4—816no—
954C2×C3×D4—164no—
955C2×C3×D4#12014yes—
956C2×C3×D4#12014yes—
957C2×C3×D4C22×D414yes—
958C2×C3×D4C22×D414yes—
959C22×C3×C4—21no—
960C22×C3×C4—21no—
961C22×C3×C4—21no—
962C22×C3×C4—21no—
963C22×C3×C4—28no—
964C22×C3×C4—28no—
965C22×C3×C4—24no—
966C22×C3×C4—21no—
967C22×C3×C4—22no—
968C22×C3×C4—22no—
969C22×C3×C4—22no—
970C22×C3×C4—22no—
971C22×C3×C4—21no—
972C22×C3×C4—22no—
973C22×C3×C4—22no—
974C22×C3×C4—22no—
975C22×C3×C4—22no—
976C22×C3×C4—22no—
977C22×C3×C4—22no—
978C22×C3×C4—22no—
979C22×C3×C4—22no—
980C22×C3×C4—28no—
981C22×C3×C4—28no—
982C22×C3×C4—22no—
983C22×C3×C4—22no—
984C22×C3×C4—22no—
985C22×C3×C4—22no—
986C22×C3×C4—28no—
987C22×C3×C4—22no—
988C22×C3×C4—22no—
989C22×C3×C4—22no—
990C22×C3×C4—22no—
991C22×C3×C4—24no—
992C22×C3×C4—24no—
993C22×C3×C4—24no—
994C22×C3×C4—44no—
995C22×C3×C4—44no—
996C22×C3×C4—48no—
997C22×C3×C4—42no—
998C22×C3×C4—42no—
999C22×C3×C4—42no—
1000C22×C3×C4—42no—
1001C22×C3×C4—42no—
1002C22×C3×C4—42no—
1003C22×C3×C4—44no—
1004C22×C3×C4—42no—
1005C22×C3×C4—42no—
1006C22×C3×C4—82no—
1007C22×C3×C4—84no—
1008C22×C3×C4—82no—
1009C22×C3×C4—88no—
1010C22×C3×C4—88no—
1011C22×C3×C4—82no—
1012C22×C3×C4—82no—
1013C22×C3×C4—84no—
1014C22×C3×C4—84no—
1015C22×C3×C4—84no—
1016C22×C3×C4—84no—
1017C22×C3×C4—84no—
1018C22×C3×C4—162no—
1019C22×C3×C4#12012yes—
1020C22×C3×C4#12012yes—
1021C22×C3×C4C22×D412yes—
1022C22×C3×C4C22×D412yes—
1023C22×C3×C4C2×#4114yescomplemented
1024C3×C4⋊C4—28no—
1025C3×C4⋊C4—28no—
1026C3×C4⋊C4—28no—
1027C3×C4⋊C4—28no—
1028C3×C4⋊C4—28no—
1029C3×C4⋊C4—28no—
1030C3×C4⋊C4—48no—
1031C3×C4⋊C4—44no—
1032C3×C22⋊C4—28no—
1033C3×C22⋊C4—28no—
1034C3×C22⋊C4—28no—
1035C3×C22⋊C4—28no—
1036C3×C22⋊C4—28no—
1037C3×C22⋊C4—22no—
1038C3×C22⋊C4—22no—
1039C3×C22⋊C4—22no—
1040C3×C22⋊C4—22no—
1041C3×C22⋊C4—22no—
1042C3×C22⋊C4—22no—
1043C3×C22⋊C4—22no—
1044C3×C22⋊C4—22no—
1045C3×C22⋊C4—28no—
1046C3×C22⋊C4—28no—
1047C3×C22⋊C4—22no—
1048C3×C22⋊C4—22no—
1049C3×C22⋊C4—22no—
1050C3×C22⋊C4—22no—
1051C3×C22⋊C4—28no—
1052C3×C22⋊C4—28no—
1053C3×C22⋊C4—28no—
1054C3×C22⋊C4—24no—
1055C3×C22⋊C4—24no—
1056C3×C22⋊C4—24no—
1057C3×C22⋊C4—24no—
1058C3×C22⋊C4—24no—
1059C3×C22⋊C4—24no—
1060C3×C22⋊C4—48no—
1061C3×C22⋊C4—48no—
1062C3×C22⋊C4—48no—
1063C3×C22⋊C4—48no—
1064C3×C22⋊C4—44no—
1065C3×C22⋊C4—42no—
1066C3×C22⋊C4—42no—
1067C3×C22⋊C4—42no—
1068C3×C22⋊C4—42no—
1069C3×C22⋊C4—42no—
1070C3×C22⋊C4—42no—
1071C3×C22⋊C4—816no—
1072C3×C22⋊C4C22×D414yes—
1073C3×C22⋊C4C22×D414yes—
1074C3×C22⋊C4C22×D414yes—
1075C3×C22⋊C4C22×D414yes—
1076C3×C42—28no—
1077C3×C42—28no—
1078C3×C42—44no—
1079C25—21no—
1080C25—21no—
1081C25—21no—
1082C25—22no—
1083C25—22no—
1084C25—21no—
1085C25—21no—
1086C25—22no—
1087C25—22no—
1088C25—84no—
1089C25C2×C3×D411yescharacteristic
1090C25C2×C3×D411yescharacteristic
1091C25C2×C3×D412yes—
1092C25C2×C3×D411yescharacteristic
1093C25C2×C3×D411yescharacteristic
1094C25C3×#4112yescomplemented
1095C25C24×C312yes—
1096C25C24×C311yescharacteristic
1097H(5,𝔽2)—28no—
1098H(5,𝔽2)—28no—
1099H(5,𝔽2)—48no—
1100H(5,𝔽2)—48no—
1101H(5,𝔽2)—48no—
1102H(5,𝔽2)—48no—
1103H(5,𝔽2)—48no—
1104H(5,𝔽2)—48no—
1105H(5,𝔽2)—44no—
1106H(5,𝔽2)—44no—
1107C2×#41—24no—
1108C2×#41—28no—
1109C2×#41—216no—
1110C2×#41—24no—
1111C2×#41—28no—
1112C2×#41—44no—
1113C2×#41—44no—
1114C2×#41—44no—
1115C2×#41—44no—
1116C2×#41—42no—
1117C2×#41—42no—
1118C2×#41—42no—
1119C2×#41—42no—
1120C2×#41—88no—
1121C22×Q8—21no—
1122C22×Q8—22no—
1123C22×D4—22no—
1124C22×D4—22no—
1125C22×D4—22no—
1126C22×D4—22no—
1127C22×D4—22no—
1128C22×D4—21no—
1129C22×D4—22no—
1130C22×D4—28no—
1131C22×D4—24no—
1132C22×D4—22no—
1133C22×D4—21no—
1134C22×D4—21no—
1135C22×D4—21no—
1136C22×D4—21no—
1137C22×D4—22no—
1138C22×D4—22no—
1139C22×D4—22no—
1140C22×D4—22no—
1141C22×D4—22no—
1142C22×D4—24no—
1143C22×D4—22no—
1144C22×D4—22no—
1145C22×D4—22no—
1146C22×D4—22no—
1147C22×D4—22no—
1148C22×D4—28no—
1149C22×D4—22no—
1150C22×D4—22no—
1151C22×D4—22no—
1152C22×D4—22no—
1153C22×D4—22no—
1154C22×D4—22no—
1155C22×D4—22no—
1156C22×D4—24no—
1157C22×D4—22no—
1158C22×D4—22no—
1159C22×D4—24no—
1160C22×D4—24no—
1161C22×D4—24no—
1162C22×D4—28no—
1163C22×D4—44no—
1164C22×D4—44no—
1165C22×D4—44no—
1166C22×D4—44no—
1167C22×D4—42no—
1168C22×D4—42no—
1169C22×D4—42no—
1170C22×D4—42no—
1171C22×D4—42no—
1172C22×D4—42no—
1173C22×D4—44no—
1174C22×D4—42no—
1175C22×D4—84no—
1176C22×D4—84no—
1177C22×D4—88no—
1178C22×D4C2×C3×D412yes—
1179C22×D4C2×C3×D412yes—
1180C22×D4C2×C3×D412yes—
1181C22×D4C2×C3×D412yes—
1182C22×D4C2×C3×D412yes—
1183C22×D4C2×C3×D412yes—
1184C22×D4C3×#4114yescomplemented
1185C22×D4C24×C312yes—
1186C22×D4C24×C312yes—
1187C22×D4C24×C314yes—
1188C23×C4—22no—
1189C23×C4—22no—
1190C23×C4—21no—
1191C23×C4—22no—
1192C23×C4—24no—
1193C23×C4—22no—
1194C23×C4—22no—
1195C23×C4—21no—
1196C23×C4—21no—
1197C23×C4—21no—
1198C23×C4—21no—
1199C23×C4—24no—
1200C23×C4—22no—
1201C23×C4—22no—
1202C23×C4—22no—
1203C23×C4—41no—
1204C23×C4—84no—
1205C23×C4C2×C3×D411yescharacteristic
1206C23×C4C2×C3×D411yescharacteristic
1207C23×C4C3×#4112yescomplemented
1208#126—216no—
1209#126—216no—
1210#124—216no—
1211#124—216no—
1212#123—216no—
1213#123—216no—
1214#123—216no—
1215#123—216no—
1216#123—24no—
1217#123—24no—
1218#123—24no—
1219#123—28no—
1220#123—28no—
1221#123—44no—
1222#123—44no—
1223#123C2×C3×D418yescomplemented
1224C22⋊Q8—28no—
1225C22⋊Q8—216no—
1226C22⋊Q8—28no—
1227C22⋊Q8—28no—
1228C22⋊Q8—28no—
1229C22⋊Q8—28no—
1230C22⋊Q8—28no—
1231#121—216no—
1232#121—216no—
1233#121—216no—
1234#121—28no—
1235#121—28no—
1236#121—48no—
1237#121—48no—
1238#120—24no—
1239#120—24no—
1240#120—28no—
1241#120—24no—
1242#120—24no—
1243#120—24no—
1244#120—24no—
1245#120—24no—
1246#120—24no—
1247#120—28no—
1248#120—24no—
1249#120—28no—
1250#120—28no—
1251#120—28no—
1252#120—28no—
1253#120—28no—
1254#120—28no—
1255#120—48no—
1256#120—44no—
1257#120—48no—
1258#120—44no—
1259#120—44no—
1260#120—44no—
1261#120C2×C3×D418yescomplemented
1262#120C2×C3×D418yescomplemented
1263#120C2×C3×D418yescomplemented
1264C4×D4—28no—
1265C4×D4—28no—
1266C4×D4—216no—
1267C4×D4—216no—
1268C4×D4—28no—
1269C4×D4—28no—
1270C4×D4—28no—
1271C4×D4—28no—
1272C4×D4—28no—
1273C4×D4—28no—
1274C4×D4—48no—
1275C4×D4—48no—
1276#117—24no—
1277#117—216no—
1278#117—24no—
1279#117—24no—
1280#117—24no—
1281#117—42no—
1282#117C2×C3×D418yescomplemented
1283C2×C4⋊C4—22no—
1284C2×C4⋊C4—22no—
1285C2×C4⋊C4—22no—
1286C2×C4⋊C4—22no—
1287C2×C4⋊C4—22no—
1288C2×C4⋊C4—22no—
1289C2×C4⋊C4—42no—
1290C2×C4⋊C4—41no—
1291C2×C22⋊C4—22no—
1292C2×C22⋊C4—22no—
1293C2×C22⋊C4—24no—
1294C2×C22⋊C4—28no—
1295C2×C22⋊C4—28no—
1296C2×C22⋊C4—22no—
1297C2×C22⋊C4—22no—
1298C2×C22⋊C4—24no—
1299C2×C22⋊C4—22no—
1300C2×C22⋊C4—24no—
1301C2×C22⋊C4—22no—
1302C2×C22⋊C4—24no—
1303C2×C22⋊C4—22no—
1304C2×C22⋊C4—21no—
1305C2×C22⋊C4—21no—
1306C2×C22⋊C4—21no—
1307C2×C22⋊C4—21no—
1308C2×C22⋊C4—21no—
1309C2×C22⋊C4—21no—
1310C2×C22⋊C4—24no—
1311C2×C22⋊C4—21no—
1312C2×C22⋊C4—24no—
1313C2×C22⋊C4—21no—
1314C2×C22⋊C4—21no—
1315C2×C22⋊C4—21no—
1316C2×C22⋊C4—21no—
1317C2×C22⋊C4—21no—
1318C2×C22⋊C4—22no—
1319C2×C22⋊C4—22no—
1320C2×C22⋊C4—24no—
1321C2×C22⋊C4—22no—
1322C2×C22⋊C4—24no—
1323C2×C22⋊C4—24no—
1324C2×C22⋊C4—28no—
1325C2×C22⋊C4—28no—
1326C2×C22⋊C4—22no—
1327C2×C22⋊C4—24no—
1328C2×C22⋊C4—22no—
1329C2×C22⋊C4—22no—
1330C2×C22⋊C4—22no—
1331C2×C22⋊C4—22no—
1332C2×C22⋊C4—22no—
1333C2×C22⋊C4—22no—
1334C2×C22⋊C4—22no—
1335C2×C22⋊C4—22no—
1336C2×C22⋊C4—22no—
1337C2×C22⋊C4—22no—
1338C2×C22⋊C4—22no—
1339C2×C22⋊C4—22no—
1340C2×C22⋊C4—22no—
1341C2×C22⋊C4—22no—
1342C2×C22⋊C4—28no—
1343C2×C22⋊C4—42no—
1344C2×C22⋊C4—42no—
1345C2×C22⋊C4—44no—
1346C2×C22⋊C4—42no—
1347C2×C22⋊C4—42no—
1348C2×C22⋊C4—41no—
1349C2×C22⋊C4—42no—
1350C2×C22⋊C4—48no—
1351C2×C22⋊C4—88no—
1352C2×C22⋊C4C2×C3×D412yes—
1353C2×C22⋊C4C2×C3×D412yes—
1354C2×C22⋊C4C2×C3×D412yes—
1355C2×C22⋊C4C2×C3×D412yes—
1356C2×C22⋊C4C2×C3×D412yes—
1357C2×C22⋊C4C2×C3×D412yes—
1358C2×C22⋊C4C2×C3×D412yes—
1359C2×C22⋊C4C2×C3×D412yes—
1360C2×C22⋊C4C2×C3×D418yescomplemented
1361C2×C22⋊C4C24×C314yes—
1362C2×C22⋊C4C24×C314yes—
1363C2×C22⋊C4C24×C314yes—
1364C2×C22⋊C4C24×C312yes—
1365C2×C22⋊C4C24×C312yes—
1366C2×C22⋊C4C24×C312yes—
1367C2×C22⋊C4C24×C312yes—
1368C2×C42—22no—
1369C2×C42—22no—
1370C2×C42—41no—
1371#99—28no—
1372#99—28no—
1373#99—216no—
1374#99—216no—
1375#99—216no—
1376#99—216no—
1377#99—48no—
1378C23×C3—24no—
1379C23×C3—28no—
1380C23×C3—22no—
1381C23×C3—22no—
1382C23×C3—24no—
1383C23×C3—22no—
1384C23×C3—22no—
1385C23×C3—22no—
1386C23×C3—22no—
1387C23×C3—22no—
1388C23×C3—22no—
1389C23×C3—22no—
1390C23×C3—24no—
1391C23×C3—24no—
1392C23×C3—24no—
1393C23×C3—24no—
1394C23×C3—24no—
1395C23×C3—42no—
1396C23×C3—44no—
1397C23×C3—44no—
1398C23×C3—42no—
1399C23×C3—42no—
1400C23×C3—44no—
1401C23×C3—42no—
1402C23×C3—44no—
1403C23×C3—44no—
1404C23×C3—48no—
1405C23×C3—44no—
1406C23×C3—48no—
1407C23×C3—44no—
1408C23×C3—42no—
1409C23×C3—42no—
1410C23×C3—44no—
1411C23×C3—44no—
1412C23×C3—44no—
1413C23×C3—44no—
1414C23×C3—44no—
1415C23×C3—48no—
1416C23×C3—48no—
1417C23×C3—44no—
1418C23×C3—48no—
1419C23×C3—48no—
1420C23×C3—41no—
1421C23×C3—42no—
1422C23×C3—41no—
1423C23×C3—42no—
1424C23×C3—41no—
1425C23×C3—42no—
1426C23×C3—42no—
1427C23×C3—44no—
1428C23×C3—41no—
1429C23×C3—42no—
1430C23×C3—42no—
1431C23×C3—41no—
1432C23×C3—41no—
1433C23×C3—42no—
1434C23×C3—42no—
1435C23×C3—44no—
1436C23×C3—42no—
1437C23×C3—42no—
1438C23×C3—42no—
1439C23×C3—82no—
1440C23×C3—82no—
1441C23×C3—84no—
1442C23×C3—88no—
1443C23×C3—84no—
1444C23×C3—84no—
1445C23×C3—84no—
1446C23×C3—84no—
1447C23×C3—84no—
1448C23×C3—81no—
1449C23×C3—81no—
1450C23×C3—81no—
1451C23×C3—82no—
1452C23×C3—82no—
1453C23×C3—82no—
1454C23×C3—81no—
1455C23×C3—82no—
1456C23×C3—82no—
1457C23×C3—82no—
1458C23×C3—82no—
1459C23×C3—84no—
1460C23×C3—82no—
1461C23×C3—82no—
1462C23×C3—84no—
1463C23×C3—82no—
1464C23×C3—82no—
1465C23×C3—84no—
1466C23×C3—84no—
1467C23×C3—84no—
1468C23×C3—82no—
1469C23×C3—88no—
1470C23×C3—88no—
1471C23×C3—84no—
1472C23×C3—88no—
1473C23×C3—84no—
1474C23×C3—88no—
1475C23×C3—88no—
1476C23×C3—84no—
1477C23×C3—84no—
1478C23×C3—161no—
1479C23×C3—161no—
1480C23×C3—162no—
1481C23×C3—162no—
1482C23×C3—162no—
1483C23×C3—164no—
1484C23×C3—164no—
1485C23×C3—164no—
1486C23×C3C2×#12011yescharacteristic
1487C23×C3C2×#12014yes—
1488C23×C3C2×#12011yescharacteristic
1489C23×C3C2×#12011yescharacteristic
1490C23×C3C2×#12011yescharacteristic
1491C23×C3#52511yescharacteristic
1492C23×C3#52511yescharacteristic
1493C23×C3#52512yes—
1494C23×C3#53511yescharacteristic
1495C23×C3#53511yescharacteristic
1496C23×C3#53512yes—
1497C23×C3#54612yes—
1498C23×C3#54612yes—
1499C23×C3#54612yes—
1500C23×C3#54612yes—
1501C23×C3#54612yes—
1502C23×C3#54612yes—
1503C23×C3#54612yes—
1504C23×C3#54612yes—
1505C23×C3C23×D411yescharacteristic
1506C23×C3C23×D411yescharacteristic
1507C23×C3C23×D411yescharacteristic
1508C23×C3C22×#4112yes—
1509C23×C3C2×H(5,𝔽2)12yes—
1510C3×Q8—48no—
1511C3×Q8—88no—
1512C3×D4—28no—
1513C3×D4—28no—
1514C3×D4—28no—
1515C3×D4—28no—
1516C3×D4—48no—
1517C3×D4—416no—
1518C3×D4—416no—
1519C3×D4—416no—
1520C3×D4—42no—
1521C3×D4—42no—
1522C3×D4—44no—
1523C3×D4—44no—
1524C3×D4—44no—
1525C3×D4—44no—
1526C3×D4—44no—
1527C3×D4—44no—
1528C3×D4—42no—
1529C3×D4—42no—
1530C3×D4—44no—
1531C3×D4—44no—
1532C3×D4—44no—
1533C3×D4—44no—
1534C3×D4—88no—
1535C3×D4—88no—
1536C3×D4—88no—
1537C3×D4—816no—
1538C3×D4—816no—
1539C3×D4—168no—
1540C2×C3×C4—22no—
1541C2×C3×C4—22no—
1542C2×C3×C4—22no—
1543C2×C3×C4—22no—
1544C2×C3×C4—22no—
1545C2×C3×C4—22no—
1546C2×C3×C4—22no—
1547C2×C3×C4—24no—
1548C2×C3×C4—24no—
1549C2×C3×C4—24no—
1550C2×C3×C4—24no—
1551C2×C3×C4—24no—
1552C2×C3×C4—24no—
1553C2×C3×C4—24no—
1554C2×C3×C4—24no—
1555C2×C3×C4—416no—
1556C2×C3×C4—44no—
1557C2×C3×C4—44no—
1558C2×C3×C4—416no—
1559C2×C3×C4—48no—
1560C2×C3×C4—44no—
1561C2×C3×C4—44no—
1562C2×C3×C4—42no—
1563C2×C3×C4—41no—
1564C2×C3×C4—42no—
1565C2×C3×C4—42no—
1566C2×C3×C4—42no—
1567C2×C3×C4—42no—
1568C2×C3×C4—41no—
1569C2×C3×C4—44no—
1570C2×C3×C4—44no—
1571C2×C3×C4—44no—
1572C2×C3×C4—82no—
1573C2×C3×C4—82no—
1574C2×C3×C4—88no—
1575C2×C3×C4—82no—
1576C2×C3×C4—82no—
1577C2×C3×C4—82no—
1578C2×C3×C4—82no—
1579C2×C3×C4—82no—
1580C2×C3×C4—82no—
1581C2×C3×C4—88no—
1582C2×C3×C4—88no—
1583C2×C3×C4—84no—
1584C2×C3×C4—84no—
1585C2×C3×C4—84no—
1586C2×C3×C4—84no—
1587C2×C3×C4—84no—
1588C2×C3×C4—84no—
1589C2×C3×C4—84no—
1590C2×C3×C4—162no—
1591C2×C3×C4—162no—
1592C2×C3×C4—164no—
1593C2×C3×C4C2×#12014yes—
1594C24—21no—
1595C24—22no—
1596C24—21no—
1597C24—21no—
1598C24—21no—
1599C24—21no—
1600C24—24no—
1601C24—21no—
1602C24—21no—
1603C24—21no—
1604C24—22no—
1605C24—22no—
1606C24—22no—
1607C24—22no—
1608C24—24no—
1609C24—24no—
1610C24—22no—
1611C24—22no—
1612C24—24no—
1613C24—24no—
1614C24—21no—
1615C24—21no—
1616C24—22no—
1617C24—22no—
1618C24—22no—
1619C24—22no—
1620C24—22no—
1621C24—22no—
1622C24—22no—
1623C24—22no—
1624C24—22no—
1625C24—44no—
1626C24—48no—
1627C24—44no—
1628C24—44no—
1629C24—48no—
1630C24—42no—
1631C24—42no—
1632C24—41no—
1633C24—41no—
1634C24—42no—
1635C24—41no—
1636C24—41no—
1637C24—42no—
1638C24—42no—
1639C24—42no—
1640C24—42no—
1641C24—42no—
1642C24—82no—
1643C24—84no—
1644C24—82no—
1645C24—84no—
1646C24—84no—
1647C24—82no—
1648C24—82no—
1649C24—84no—
1650C24—84no—
1651C24—84no—
1652C24—88no—
1653C24—88no—
1654C24—82no—
1655C24—82no—
1656C24—84no—
1657C24—162no—
1658C24C3×#12012yes—
1659C24C3×#12012yes—
1660C24C22×C3×D412yes—
1661C24C22×C3×D412yes—
1662C24C22×C3×D412yes—
1663C24C22×C3×D412yes—
1664C24C22×C3×D411yescharacteristic
1665C24C22×C3×D411yescharacteristic
1666C24C22×C3×D411yescharacteristic
1667C24C22×C3×D411yescharacteristic
1668C24C22×C3×D411yescharacteristic
1669C24C22×C3×D411yescharacteristic
1670C24C2×C3×#4112yes—
1671C24C2×C3×#4112yes—
1672C24C2×C3×#4114yescomplemented
1673C24C3×H(5,𝔽2)12yes—
1674C24C3×H(5,𝔽2)12yes—
1675C24C25×C311yescharacteristic
1676#41—416no—
1677#41—416no—
1678#41—48no—
1679#41—48no—
1680#41—48no—
1681#41—416no—
1682#41—416no—
1683#41—48no—
1684#41—832no—
1685C2×Q8—24no—
1686C2×Q8—28no—
1687C2×Q8—42no—
1688C2×Q8—42no—
1689C2×Q8—84no—
1690C2×D4—24no—
1691C2×D4—24no—
1692C2×D4—24no—
1693C2×D4—24no—
1694C2×D4—24no—
1695C2×D4—24no—
1696C2×D4—24no—
1697C2×D4—24no—
1698C2×D4—24no—
1699C2×D4—24no—
1700C2×D4—24no—
1701C2×D4—24no—
1702C2×D4—28no—
1703C2×D4—24no—
1704C2×D4—28no—
1705C2×D4—24no—
1706C2×D4—24no—
1707C2×D4—24no—
1708C2×D4—22no—
1709C2×D4—22no—
1710C2×D4—24no—
1711C2×D4—24no—
1712C2×D4—24no—
1713C2×D4—24no—
1714C2×D4—24no—
1715C2×D4—22no—
1716C2×D4—22no—
1717C2×D4—28no—
1718C2×D4—24no—
1719C2×D4—24no—
1720C2×D4—24no—
1721C2×D4—24no—
1722C2×D4—24no—
1723C2×D4—24no—
1724C2×D4—24no—
1725C2×D4—24no—
1726C2×D4—28no—
1727C2×D4—28no—
1728C2×D4—28no—
1729C2×D4—42no—
1730C2×D4—42no—
1731C2×D4—416no—
1732C2×D4—416no—
1733C2×D4—416no—
1734C2×D4—416no—
1735C2×D4—44no—
1736C2×D4—44no—
1737C2×D4—48no—
1738C2×D4—48no—
1739C2×D4—48no—
1740C2×D4—48no—
1741C2×D4—48no—
1742C2×D4—42no—
1743C2×D4—42no—
1744C2×D4—42no—
1745C2×D4—42no—
1746C2×D4—48no—
1747C2×D4—41no—
1748C2×D4—41no—
1749C2×D4—42no—
1750C2×D4—42no—
1751C2×D4—42no—
1752C2×D4—42no—
1753C2×D4—42no—
1754C2×D4—41no—
1755C2×D4—41no—
1756C2×D4—42no—
1757C2×D4—42no—
1758C2×D4—42no—
1759C2×D4—42no—
1760C2×D4—42no—
1761C2×D4—42no—
1762C2×D4—42no—
1763C2×D4—42no—
1764C2×D4—42no—
1765C2×D4—42no—
1766C2×D4—42no—
1767C2×D4—42no—
1768C2×D4—42no—
1769C2×D4—48no—
1770C2×D4—48no—
1771C2×D4—48no—
1772C2×D4—84no—
1773C2×D4—84no—
1774C2×D4—84no—
1775C2×D4—88no—
1776C2×D4—88no—
1777C2×D4—88no—
1778C2×D4—88no—
1779C2×D4—88no—
1780C2×D4—88no—
1781C2×D4—816no—
1782C2×D4—816no—
1783C2×D4—164no—
1784C2×D4C3×#12014yes—
1785C2×D4C3×#12014yes—
1786C2×D4C22×C3×D414yes—
1787C2×D4C22×C3×D414yes—
1788C22×C4—21no—
1789C22×C4—21no—
1790C22×C4—21no—
1791C22×C4—21no—
1792C22×C4—28no—
1793C22×C4—28no—
1794C22×C4—24no—
1795C22×C4—21no—
1796C22×C4—22no—
1797C22×C4—22no—
1798C22×C4—22no—
1799C22×C4—22no—
1800C22×C4—21no—
1801C22×C4—22no—
1802C22×C4—22no—
1803C22×C4—22no—
1804C22×C4—22no—
1805C22×C4—22no—
1806C22×C4—22no—
1807C22×C4—22no—
1808C22×C4—22no—
1809C22×C4—28no—
1810C22×C4—28no—
1811C22×C4—22no—
1812C22×C4—22no—
1813C22×C4—22no—
1814C22×C4—22no—
1815C22×C4—22no—
1816C22×C4—22no—
1817C22×C4—22no—
1818C22×C4—22no—
1819C22×C4—28no—
1820C22×C4—24no—
1821C22×C4—24no—
1822C22×C4—24no—
1823C22×C4—44no—
1824C22×C4—44no—
1825C22×C4—48no—
1826C22×C4—42no—
1827C22×C4—42no—
1828C22×C4—42no—
1829C22×C4—42no—
1830C22×C4—42no—
1831C22×C4—42no—
1832C22×C4—44no—
1833C22×C4—42no—
1834C22×C4—42no—
1835C22×C4—82no—
1836C22×C4—84no—
1837C22×C4—82no—
1838C22×C4—88no—
1839C22×C4—88no—
1840C22×C4—82no—
1841C22×C4—82no—
1842C22×C4—84no—
1843C22×C4—84no—
1844C22×C4—84no—
1845C22×C4—84no—
1846C22×C4—84no—
1847C22×C4—162no—
1848C22×C4C3×#12012yes—
1849C22×C4C3×#12012yes—
1850C22×C4C22×C3×D412yes—
1851C22×C4C22×C3×D412yes—
1852C22×C4C2×C3×#4114yescomplemented
1853C4⋊C4—28no—
1854C4⋊C4—28no—
1855C4⋊C4—28no—
1856C4⋊C4—28no—
1857C4⋊C4—28no—
1858C4⋊C4—28no—
1859C4⋊C4—48no—
1860C4⋊C4—44no—
1861C22⋊C4—28no—
1862C22⋊C4—28no—
1863C22⋊C4—28no—
1864C22⋊C4—28no—
1865C22⋊C4—28no—
1866C22⋊C4—22no—
1867C22⋊C4—22no—
1868C22⋊C4—22no—
1869C22⋊C4—22no—
1870C22⋊C4—22no—
1871C22⋊C4—22no—
1872C22⋊C4—22no—
1873C22⋊C4—22no—
1874C22⋊C4—22no—
1875C22⋊C4—22no—
1876C22⋊C4—22no—
1877C22⋊C4—22no—
1878C22⋊C4—28no—
1879C22⋊C4—28no—
1880C22⋊C4—28no—
1881C22⋊C4—28no—
1882C22⋊C4—28no—
1883C22⋊C4—24no—
1884C22⋊C4—24no—
1885C22⋊C4—24no—
1886C22⋊C4—24no—
1887C22⋊C4—24no—
1888C22⋊C4—24no—
1889C22⋊C4—48no—
1890C22⋊C4—48no—
1891C22⋊C4—48no—
1892C22⋊C4—48no—
1893C22⋊C4—44no—
1894C22⋊C4—42no—
1895C22⋊C4—42no—
1896C22⋊C4—42no—
1897C22⋊C4—42no—
1898C22⋊C4—42no—
1899C22⋊C4—42no—
1900C22⋊C4—816no—
1901C22⋊C4C22×C3×D414yes—
1902C22⋊C4C22×C3×D414yes—
1903C22⋊C4C22×C3×D414yes—
1904C22⋊C4C22×C3×D414yes—
1905C42—28no—
1906C42—28no—
1907C42—44no—
1908C22×C3—22no—
1909C22×C3—22no—
1910C22×C3—24no—
1911C22×C3—24no—
1912C22×C3—22no—
1913C22×C3—24no—
1914C22×C3—28no—
1915C22×C3—24no—
1916C22×C3—41no—
1917C22×C3—41no—
1918C22×C3—42no—
1919C22×C3—41no—
1920C22×C3—41no—
1921C22×C3—42no—
1922C22×C3—41no—
1923C22×C3—41no—
1924C22×C3—42no—
1925C22×C3—42no—
1926C22×C3—42no—
1927C22×C3—42no—
1928C22×C3—42no—
1929C22×C3—41no—
1930C22×C3—42no—
1931C22×C3—41no—
1932C22×C3—42no—
1933C22×C3—42no—
1934C22×C3—44no—
1935C22×C3—42no—
1936C22×C3—44no—
1937C22×C3—44no—
1938C22×C3—48no—
1939C22×C3—44no—
1940C22×C3—42no—
1941C22×C3—42no—
1942C22×C3—44no—
1943C22×C3—44no—
1944C22×C3—42no—
1945C22×C3—44no—
1946C22×C3—44no—
1947C22×C3—44no—
1948C22×C3—42no—
1949C22×C3—42no—
1950C22×C3—82no—
1951C22×C3—82no—
1952C22×C3—82no—
1953C22×C3—82no—
1954C22×C3—82no—
1955C22×C3—84no—
1956C22×C3—88no—
1957C22×C3—84no—
1958C22×C3—84no—
1959C22×C3—84no—
1960C22×C3—88no—
1961C22×C3—84no—
1962C22×C3—84no—
1963C22×C3—84no—
1964C22×C3—84no—
1965C22×C3—82no—
1966C22×C3—84no—
1967C22×C3—82no—
1968C22×C3—84no—
1969C22×C3—82no—
1970C22×C3—82no—
1971C22×C3—84no—
1972C22×C3—162no—
1973C22×C3—162no—
1974C22×C3—162no—
1975C22×C3—168no—
1976C22×C3#240411yescharacteristic
1977C22×C3#240411yescharacteristic
1978C22×C3#240411yescharacteristic
1979C22×C3#240412yes—
1980C22×C3#240412yes—
1981C22×C3#240411yescharacteristic
1982C22×C3C22×#12011yescharacteristic
1983C22×C3C2×#52511yescharacteristic
1984C22×C3C2×#53511yescharacteristic
1985C22×C3C2×#54612yes—
1986C22×C3C2×#54612yes—
1987C3×C4—24no—
1988C3×C4—44no—
1989C3×C4—44no—
1990C3×C4—44no—
1991C3×C4—44no—
1992C3×C4—44no—
1993C3×C4—42no—
1994C3×C4—84no—
1995C3×C4—84no—
1996C3×C4—84no—
1997C23—24no—
1998C23—28no—
1999C23—22no—
2000C23—22no—
2001C23—24no—
2002C23—22no—
2003C23—22no—
2004C23—22no—
2005C23—22no—
2006C23—22no—
2007C23—22no—
2008C23—22no—
2009C23—24no—
2010C23—24no—
2011C23—24no—
2012C23—24no—
2013C23—24no—
2014C23—42no—
2015C23—44no—
2016C23—44no—
2017C23—42no—
2018C23—42no—
2019C23—44no—
2020C23—42no—
2021C23—44no—
2022C23—44no—
2023C23—48no—
2024C23—44no—
2025C23—48no—
2026C23—44no—
2027C23—42no—
2028C23—42no—
2029C23—44no—
2030C23—44no—
2031C23—44no—
2032C23—44no—
2033C23—44no—
2034C23—48no—
2035C23—48no—
2036C23—44no—
2037C23—48no—
2038C23—48no—
2039C23—41no—
2040C23—42no—
2041C23—41no—
2042C23—42no—
2043C23—42no—
2044C23—42no—
2045C23—42no—
2046C23—41no—
2047C23—41no—
2048C23—42no—
2049C23—42no—
2050C23—44no—
2051C23—41no—
2052C23—42no—
2053C23—41no—
2054C23—44no—
2055C23—42no—
2056C23—42no—
2057C23—42no—
2058C23—82no—
2059C23—82no—
2060C23—84no—
2061C23—88no—
2062C23—84no—
2063C23—84no—
2064C23—84no—
2065C23—84no—
2066C23—84no—
2067C23—81no—
2068C23—81no—
2069C23—82no—
2070C23—81no—
2071C23—81no—
2072C23—82no—
2073C23—82no—
2074C23—82no—
2075C23—82no—
2076C23—82no—
2077C23—84no—
2078C23—82no—
2079C23—82no—
2080C23—82no—
2081C23—84no—
2082C23—82no—
2083C23—82no—
2084C23—84no—
2085C23—84no—
2086C23—84no—
2087C23—82no—
2088C23—88no—
2089C23—88no—
2090C23—84no—
2091C23—88no—
2092C23—84no—
2093C23—88no—
2094C23—88no—
2095C23—84no—
2096C23—84no—
2097C23—161no—
2098C23—161no—
2099C23—162no—
2100C23—162no—
2101C23—162no—
2102C23—164no—
2103C23—164no—
2104C23—164no—
2105C23C2×C3×#12011yescharacteristic
2106C23C2×C3×#12014yes—
2107C23C2×C3×#12011yescharacteristic
2108C23C2×C3×#12011yescharacteristic
2109C23C2×C3×#12011yescharacteristic
2110C23C3×#52511yescharacteristic
2111C23C3×#52511yescharacteristic
2112C23C3×#52512yes—
2113C23C3×#53511yescharacteristic
2114C23C3×#53511yescharacteristic
2115C23C3×#53512yes—
2116C23C3×#54612yes—
2117C23C3×#54612yes—
2118C23C3×#54612yes—
2119C23C3×#54612yes—
2120C23C3×#54612yes—
2121C23C3×#54612yes—
2122C23C3×#54612yes—
2123C23C3×#54612yes—
2124C23C23×C3×D411yescharacteristic
2125C23C23×C3×D411yescharacteristic
2126C23C23×C3×D411yescharacteristic
2127C23C22×C3×#4112yes—
2128C23C2×C3×H(5,𝔽2)12yes—
2129Q8—48no—
2130Q8—88no—
2131D4—28no—
2132D4—28no—
2133D4—28no—
2134D4—28no—
2135D4—48no—
2136D4—416no—
2137D4—416no—
2138D4—416no—
2139D4—44no—
2140D4—42no—
2141D4—44no—
2142D4—42no—
2143D4—44no—
2144D4—44no—
2145D4—44no—
2146D4—44no—
2147D4—42no—
2148D4—42no—
2149D4—44no—
2150D4—44no—
2151D4—44no—
2152D4—44no—
2153D4—88no—
2154D4—88no—
2155D4—88no—
2156D4—816no—
2157D4—816no—
2158D4—168no—
2159C2×C4—22no—
2160C2×C4—22no—
2161C2×C4—22no—
2162C2×C4—22no—
2163C2×C4—22no—
2164C2×C4—22no—
2165C2×C4—22no—
2166C2×C4—24no—
2167C2×C4—24no—
2168C2×C4—24no—
2169C2×C4—24no—
2170C2×C4—24no—
2171C2×C4—24no—
2172C2×C4—24no—
2173C2×C4—24no—
2174C2×C4—416no—
2175C2×C4—44no—
2176C2×C4—44no—
2177C2×C4—416no—
2178C2×C4—48no—
2179C2×C4—44no—
2180C2×C4—44no—
2181C2×C4—42no—
2182C2×C4—42no—
2183C2×C4—42no—
2184C2×C4—42no—
2185C2×C4—41no—
2186C2×C4—42no—
2187C2×C4—41no—
2188C2×C4—44no—
2189C2×C4—44no—
2190C2×C4—44no—
2191C2×C4—82no—
2192C2×C4—82no—
2193C2×C4—88no—
2194C2×C4—82no—
2195C2×C4—82no—
2196C2×C4—82no—
2197C2×C4—82no—
2198C2×C4—82no—
2199C2×C4—82no—
2200C2×C4—88no—
2201C2×C4—88no—
2202C2×C4—84no—
2203C2×C4—84no—
2204C2×C4—84no—
2205C2×C4—84no—
2206C2×C4—84no—
2207C2×C4—84no—
2208C2×C4—84no—
2209C2×C4—162no—
2210C2×C4—162no—
2211C2×C4—164no—
2212C2×C4C2×C3×#12014yes—
2213C2×C3—21no—
2214C2×C3—21no—
2215C2×C3—22no—
2216C2×C3—22no—
2217C2×C3—21no—
2218C2×C3—22no—
2219C2×C3—21no—
2220C2×C3—21no—
2221C2×C3—21no—
2222C2×C3—22no—
2223C2×C3—44no—
2224C2×C3—44no—
2225C2×C3—82no—
2226C2×C3—82no—
2227C2×C3—84no—
2228C2×C3#2399612yesdirect product factor
2229C2×C3C2×#240411yescharacteristic
2230C22—22no—
2231C22—22no—
2232C22—24no—
2233C22—24no—
2234C22—22no—
2235C22—24no—
2236C22—28no—
2237C22—24no—
2238C22—41no—
2239C22—42no—
2240C22—41no—
2241C22—41no—
2242C22—41no—
2243C22—42no—
2244C22—41no—
2245C22—41no—
2246C22—42no—
2247C22—42no—
2248C22—42no—
2249C22—42no—
2250C22—42no—
2251C22—41no—
2252C22—42no—
2253C22—41no—
2254C22—42no—
2255C22—42no—
2256C22—44no—
2257C22—42no—
2258C22—44no—
2259C22—44no—
2260C22—48no—
2261C22—44no—
2262C22—42no—
2263C22—42no—
2264C22—44no—
2265C22—44no—
2266C22—42no—
2267C22—44no—
2268C22—44no—
2269C22—44no—
2270C22—42no—
2271C22—42no—
2272C22—82no—
2273C22—82no—
2274C22—82no—
2275C22—82no—
2276C22—82no—
2277C22—84no—
2278C22—88no—
2279C22—84no—
2280C22—84no—
2281C22—84no—
2282C22—88no—
2283C22—84no—
2284C22—84no—
2285C22—84no—
2286C22—84no—
2287C22—82no—
2288C22—84no—
2289C22—82no—
2290C22—84no—
2291C22—82no—
2292C22—82no—
2293C22—84no—
2294C22—162no—
2295C22—162no—
2296C22—162no—
2297C22—168no—
2298C22C3×#240411yescharacteristic
2299C22C3×#240411yescharacteristic
2300C22C3×#240411yescharacteristic
2301C22C3×#240412yes—
2302C22C3×#240412yes—
2303C22C3×#240411yescharacteristic
2304C22C22×C3×#12011yescharacteristic
2305C22C2×C3×#52511yescharacteristic
2306C22C2×C3×#53511yescharacteristic
2307C22C2×C3×#54612yes—
2308C22C2×C3×#54612yes—
2309C4—24no—
2310C4—44no—
2311C4—44no—
2312C4—44no—
2313C4—44no—
2314C4—44no—
2315C4—42no—
2316C4—84no—
2317C4—84no—
2318C4—84no—
2319C3C2×#2399611yescharacteristic, direct product factor, Sylow
2320C2—21no—
2321C2—21no—
2322C2—22no—
2323C2—22no—
2324C2—21no—
2325C2—22no—
2326C2—21no—
2327C2—21no—
2328C2—21no—
2329C2—22no—
2330C2—44no—
2331C2—44no—
2332C2—82no—
2333C2—82no—
2334C2—84no—
2335C2C3×#2399612yesdirect product factor
2336C2C2×C3×#240411yescharacteristic
subgroupG/H
center, socleC22×C3#2404
commutator, Frattini, cosocleC24C25×C3
LCSG ▷ C24 ▷ C2 ▷ C1
UCSC1 ◁ C22×C3 ◁ C25×C3 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#3490C2semidirect
2. C2×C3×#3026C2semidirect
3. C22×C3×B(4,𝔽2)C2semidirect
4. C2×C3×#2883C2semidirect
5. C3×#23996C2direct (N × H)
6. C2×C3×#2032C2semidirect
7. C2×C3×#2021C2semidirect
8. C2×C3×#1913C2semidirect
9. C2×C3×#1913C2semidirect
10. C2×C3×#1898C2semidirect
11. C2×C3×#1889C2semidirect
12. C2×C3×#1828C2semidirect
13. C2×#23996C3direct (N × H)
18. C3×#3490C22semidirect
23. C2×C3×#543C22semidirect
30. C22×C3×#120C22semidirect
33. C2×C3×#518C22semidirect
34. C23×C3×C22⋊C4C22semidirect
36. C3×#3026C22semidirect
42. C2×C3×B(4,𝔽2)C22semidirect
44. C3×#2883C22semidirect
53. C22×C3×#99C22semidirect
54. C2×C3×#379C22semidirect
55. C3×#2032C22semidirect
56. C3×#2021C22semidirect
57. C3×#1913C22semidirect
58. C3×#1913C22semidirect
59. C3×#1898C22semidirect
60. C3×#1889C22semidirect
61. C3×#1828C22semidirect
62. C2×C3×#342C22semidirect
63. C2×C3×#342C22semidirect
64. C2×C3×#342C22semidirect
65. C2×C3×#342C22semidirect
66. C2×#3490C2×C3semidirect
67. C2×#3026C2×C3semidirect
68. C22×B(4,𝔽2)C2×C3semidirect
69. C2×#2883C2×C3semidirect
70. #23996C2×C3direct (N × H)
71. C2×#2032C2×C3semidirect
72. C2×#2021C2×C3semidirect
73. C2×#1913C2×C3semidirect
74. C2×#1913C2×C3semidirect
75. C2×#1898C2×C3semidirect
76. C2×#1889C2×C3semidirect
77. C2×#1828C2×C3semidirect
111. C3×#543C23semidirect
119. C3×#534D4semidirect
135. C2×C3×#123D4semidirect
163. C2×C3×#120D4semidirect
164. C2×C3×#120D4semidirect
165. C2×C3×#120D4semidirect
166. C2×C3×#120D4semidirect
169. C2×C3×#120C23semidirect
177. C3×#518D4semidirect
180. C3×#518C23semidirect
191. C2×C3×#117D4semidirect
204. C22×C3×C22⋊C4D4semidirect
212. C22×C3×C22⋊C4C23semidirect
239. C2×C3×#99C23semidirect
241. C3×#379C23semidirect
242. C3×#342C23semidirect
243. C3×#342C23semidirect
244. C3×#342C23semidirect
245. C3×#342C23semidirect
250. #3490C22×C3semidirect
255. C2×#543C22×C3semidirect
262. C22×#120C22×C3semidirect
265. C2×#518C22×C3semidirect
266. C23×C22⋊C4C22×C3semidirect
268. #3026C22×C3semidirect
274. C2×B(4,𝔽2)C22×C3semidirect
276. #2883C22×C3semidirect
285. C22×#99C22×C3semidirect
286. C2×#379C22×C3semidirect
287. #2032C22×C3semidirect
288. #2021C22×C3semidirect
289. #1913C22×C3semidirect
290. #1913C22×C3semidirect
291. #1898C22×C3semidirect
292. #1889C22×C3semidirect
293. #1828C22×C3semidirect
294. C2×#342C22×C3semidirect
295. C2×#342C22×C3semidirect
296. C2×#342C22×C3semidirect
297. C2×#342C22×C3semidirect
313. C25×C3#41semidirect
403. C22×C3×D4#41semidirect
426. C23×C3×C4#41semidirect
442. C3×#123C2×D4semidirect
480. C3×#120C2×D4semidirect
481. C3×#120C2×D4semidirect
482. C3×#120C2×D4semidirect
501. C3×#117C2×D4semidirect
579. C2×C3×C22⋊C4C2×D4semidirect
630. #543C23×C3semidirect
638. #534C3×D4semidirect
654. C2×#123C3×D4semidirect
682. C2×#120C3×D4semidirect
683. C2×#120C3×D4semidirect
684. C2×#120C3×D4semidirect
685. C2×#120C3×D4semidirect
688. C2×#120C23×C3semidirect
696. #518C3×D4semidirect
699. #518C23×C3semidirect
710. C2×#117C3×D4semidirect
723. C22×C22⋊C4C3×D4semidirect
731. C22×C22⋊C4C23×C3semidirect
758. C2×#99C23×C3semidirect
760. #379C23×C3semidirect
761. #342C23×C3semidirect
762. #342C23×C3semidirect
763. #342C23×C3semidirect
764. #342C23×C3semidirect
843. C24×C3C2×#41semidirect
1023. C22×C3×C4C2×#41semidirect
1094. C25C3×#41semidirect
1184. C22×D4C3×#41semidirect
1207. C23×C4C3×#41semidirect
1223. #123C2×C3×D4semidirect
1261. #120C2×C3×D4semidirect
1262. #120C2×C3×D4semidirect
1263. #120C2×C3×D4semidirect
1282. #117C2×C3×D4semidirect
1360. C2×C22⋊C4C2×C3×D4semidirect
1672. C24C2×C3×#41semidirect
1852. C22×C4C2×C3×#41semidirect
2228. C2×C3#23996direct (N × H)
2319. C3C2×#23996direct (N × H)
2335. C2C3×#23996direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#34902
C2×C3×#30262
C22×C3×B(4,𝔽2)2
C2×C3×#28832
C3×#239962
C2×C3×#20322
C2×C3×#20212
C2×C3×#19132
C2×C3×#18982
C2×C3×#18892
C2×C3×#18282
C2×#239963