Finite Group Databasebeta

← C3×#72219165 #72253561

Subgroups — C3×#72219165 #72253561

Order 3072.

44266 conjugacy classes of subgroups.

The subgroup lattice has 2276 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#111516C211yesmaximal, characteristic, complemented
2C3×#111458C214yesmaximal, complemented
3C3×#115133C214yesmaximal, complemented
4C3×#4928938C212yesmaximal, complemented
5C2×C3×#32898C214yesmaximal, complemented
6#72219165C311yesmaximal, characteristic, direct product factor, Sylow
7C23×C3×H(5,𝔽2)C2212yescomplemented
8C22×C3×B(4,𝔽2)—28no—
9C2×C3×#2404—22no—
10C2×C3×#2403—22no—
11C2×C3×#2403C2214yes—
12C2×C3×#2403C2214yes—
13C22×C3×#392C2211yescharacteristic
14C3×#32898—232no—
15C2×C3×#1790—28no—
16C2×C3×#1781C2218yescomplemented
17C2×C3×#1781C2214yescomplemented
18C3×#14885—28no—
19C3×#14715—28no—
20C3×#14335C2212yescomplemented
21C3×#13956—22no—
22C3×#13867—22no—
23C3×#13867C2214yescomplemented
24C3×#10725C2212yescomplemented
25C2×C3×#1304C2214yescomplemented
26C2×#32898C2×C314yescomplemented
27#4928938C2×C312yescomplemented
28#115133C2×C314yescomplemented
29#111516C2×C311yescharacteristic, complemented
30#111458C2×C314yescomplemented
31C22×C3×H(5,𝔽2)—28no—
32C22×C3×H(5,𝔽2)—216no—
33C22×C3×H(5,𝔽2)—44no—
34C22×C3×H(5,𝔽2)—48no—
35C22×C3×H(5,𝔽2)—416no—
36C22×C3×H(5,𝔽2)—416no—
37C23×C3×#41—22no—
38C23×C3×#41—24no—
39C24×C3×D4—22no—
40C24×C3×D4—24no—
41C24×C3×D4D411yescharacteristic, complemented
42C24×C3×D4C2314yes—
43C24×C3×D4C2312yes—
44C22×C3×#120—24no—
45C22×C3×#120—24no—
46C22×C3×#120—28no—
47C22×C3×#120D418yescomplemented
48C23×C3×C22⋊C4D412yescomplemented
49C23×C3×C22⋊C4C2311yescharacteristic
50C2×C3×B(4,𝔽2)—264no—
51C2×C3×B(4,𝔽2)—432no—
52C2×C3×B(4,𝔽2)—432no—
53C22×C3×#99—216no—
54C22×C3×#99—28no—
55C3×#2404—416no—
56C3×#2403—216no—
57C3×#2403—216no—
58C3×#2403—48no—
59C3×#2403—44no—
60C3×#2403—416no—
61C3×#2403D4116yescomplemented
62C2×C3×#393—24no—
63C2×C3×#392—28no—
64C2×C3×#392—24no—
65C2×C3×#392—28no—
66C2×C3×#392—28no—
67C2×C3×#392—44no—
68C2×C3×#392—42no—
69C2×C3×#386—24no—
70C2×C3×#386—28no—
71C2×C3×#386—24no—
72C2×C3×#386—24no—
73C2×C3×#386—24no—
74C2×C3×#386—28no—
75C2×C3×#386D418yescomplemented
76C2×C3×#381—22no—
77C2×C3×#379—24no—
78C2×C3×#379—22no—
79C2×C3×#379—24no—
80C2×C3×#379C2314yes—
81C2×C3×#379C2314yes—
82C22×C3×#95D411yescharacteristic, complemented
83C3×#1790—264no—
84C3×#1781—216no—
85C3×#1781—216no—
86C3×#1781—216no—
87C2×C3×#342—42no—
88C3×#1446—24no—
89C3×#1438—28no—
90C3×#1438—24no—
91C3×#1438—28no—
92C3×#1438—28no—
93C3×C22⋊#95—24no—
94C3×C22⋊#95—28no—
95C3×C22⋊#95—24no—
96C3×#1304—44no—
97C23×H(5,𝔽2)C22×C312yescomplemented
98C22×B(4,𝔽2)—28no—
99C2×#2404—22no—
100C2×#2403—22no—
101C2×#2403C22×C314yes—
102C2×#2403C22×C314yes—
103C22×#392C22×C311yescharacteristic
104#32898—232no—
105C2×#1790—28no—
106C2×#1781C22×C318yescomplemented
107C2×#1781C22×C314yescomplemented
108#14885—28no—
109#14715—28no—
110#14335C22×C312yescomplemented
111#13956—22no—
112#13867—22no—
113#13867C22×C314yescomplemented
114#10725C22×C312yescomplemented
115C2×#1304C22×C314yescomplemented
116C26×C3—22no—
117C26×C3C2×D412yes—
118C26×C3C2×D414yes—
119C26×C3C2411yescharacteristic
120C2×C3×H(5,𝔽2)—232no—
121C2×C3×H(5,𝔽2)—232no—
122C2×C3×H(5,𝔽2)—232no—
123C2×C3×H(5,𝔽2)—432no—
124C2×C3×H(5,𝔽2)—416no—
125C2×C3×H(5,𝔽2)—432no—
126C2×C3×H(5,𝔽2)—432no—
127C2×C3×H(5,𝔽2)—416no—
128C2×C3×H(5,𝔽2)—416no—
129C2×C3×H(5,𝔽2)—432no—
130C2×C3×H(5,𝔽2)—416no—
131C2×C3×H(5,𝔽2)—4256no—
132C2×C3×H(5,𝔽2)—416no—
133C2×C3×H(5,𝔽2)—416no—
134C2×C3×H(5,𝔽2)—432no—
135C2×C3×H(5,𝔽2)—432no—
136C2×C3×H(5,𝔽2)—416no—
137C2×C3×H(5,𝔽2)—4256no—
138C2×C3×H(5,𝔽2)—416no—
139C2×C3×H(5,𝔽2)—416no—
140C22×C3×#41—216no—
141C22×C3×#41—416no—
142C22×C3×#41—416no—
143C22×C3×#41—416no—
144C22×C3×#41—44no—
145C22×C3×#41—48no—
146C22×C3×#41—416no—
147C22×C3×#41—416no—
148C22×C3×#41—48no—
149C22×C3×#41—416no—
150C22×C3×#41—416no—
151C22×C3×#41—416no—
152C22×C3×#41—44no—
153C22×C3×#41—48no—
154C23×C3×Q8—22no—
155C23×C3×D4—24no—
156C23×C3×D4—22no—
157C23×C3×D4—216no—
158C23×C3×D4—24no—
159C23×C3×D4—28no—
160C23×C3×D4—28no—
161C23×C3×D4—24no—
162C23×C3×D4—24no—
163C23×C3×D4—24no—
164C23×C3×D4—28no—
165C23×C3×D4—28no—
166C23×C3×D4—24no—
167C23×C3×D4—28no—
168C23×C3×D4—28no—
169C23×C3×D4—28no—
170C23×C3×D4—28no—
171C23×C3×D4—41no—
172C23×C3×D4—44no—
173C23×C3×D4—48no—
174C23×C3×D4—416no—
175C23×C3×D4—416no—
176C23×C3×D4—416no—
177C23×C3×D4—44no—
178C23×C3×D4—48no—
179C23×C3×D4—416no—
180C23×C3×D4—48no—
181C23×C3×D4—48no—
182C23×C3×D4—48no—
183C23×C3×D4—416no—
184C23×C3×D4—416no—
185C23×C3×D4—416no—
186C23×C3×D4—416no—
187C23×C3×D4—416no—
188C23×C3×D4—416no—
189C23×C3×D4—44no—
190C23×C3×D4—48no—
191C23×C3×D4—82no—
192C23×C3×D4C2×D418yes—
193C23×C3×D4C2×D4116yes—
194C24×C3×C4—22no—
195C24×C3×C4—24no—
196C24×C3×C4C2×D412yes—
197C24×C3×C4C2×D414yes—
198C24×C3×C4C2×D411yescharacteristic
199C24×C3×C4C2×D411yescharacteristic
200C2×C3×#120—232no—
201C2×C3×#120—216no—
202C2×C3×#120—48no—
203C2×C3×#120—416no—
204C2×C3×#120—416no—
205C2×C3×#120—416no—
206C2×C3×#120—416no—
207C2×C3×#120—416no—
208C2×C3×#120—416no—
209C2×C3×#120—416no—
210C2×C3×#120—432no—
211C2×C3×#120—432no—
212C2×C3×#120—88no—
213C2×C3×#120—88no—
214C22×C3×C22⋊C4—28no—
215C22×C3×C22⋊C4—24no—
216C22×C3×C22⋊C4—28no—
217C22×C3×C22⋊C4—24no—
218C22×C3×C22⋊C4—24no—
219C22×C3×C22⋊C4—28no—
220C22×C3×C22⋊C4—24no—
221C22×C3×C22⋊C4—28no—
222C22×C3×C22⋊C4—28no—
223C22×C3×C22⋊C4—24no—
224C22×C3×C22⋊C4—24no—
225C22×C3×C22⋊C4—24no—
226C22×C3×C22⋊C4—24no—
227C22×C3×C22⋊C4—22no—
228C22×C3×C22⋊C4—42no—
229C22×C3×C22⋊C4—48no—
230C22×C3×C22⋊C4—48no—
231C22×C3×C22⋊C4—82no—
232C22×C3×C22⋊C4C2×D418yes—
233C3×B(4,𝔽2)—4256no—
234C2×C3×#99—264no—
235C2×C3×#99—232no—
236C2×C3×#99—432no—
237C2×C3×#99—432no—
238C2×C3×#99—416no—
239C2×C3×#99—416no—
240C3×#393—416no—
241C3×#392—416no—
242C3×#392—416no—
243C3×#392—432no—
244C3×#392—416no—
245C3×#392—432no—
246C3×#392—416no—
247C3×#386—216no—
248C3×#386—232no—
249C3×#386—48no—
250C3×#386—416no—
251C3×#386—416no—
252C3×#386—416no—
253C3×#386—432no—
254C3×#386—416no—
255C3×#386—416no—
256C3×#381—48no—
257C3×#379—28no—
258C3×#379—28no—
259C3×#379—28no—
260C3×#379—24no—
261C3×#379—48no—
262C3×#379—88no—
263C3×#379—88no—
264C3×#379C2×D418yes—
265C2×C3×#95—24no—
266C2×C3×#95—28no—
267C2×C3×#95—28no—
268C2×C3×#95—24no—
269C2×C3×#95—24no—
270C2×C3×#95—28no—
271C2×C3×#95—41no—
272C2×C3×#95—44no—
273C3×#342—84no—
274C22×H(5,𝔽2)—28no—
275C22×H(5,𝔽2)—216no—
276C22×H(5,𝔽2)—44no—
277C22×H(5,𝔽2)—48no—
278C22×H(5,𝔽2)—416no—
279C22×H(5,𝔽2)—416no—
280C23×#41—22no—
281C23×#41—24no—
282C24×D4—22no—
283C24×D4—24no—
284C24×D4C3×D411yescharacteristic, complemented
285C24×D4C23×C314yes—
286C24×D4C23×C312yes—
287C22×#120—24no—
288C22×#120—24no—
289C22×#120—28no—
290C22×#120C3×D418yescomplemented
291C23×C22⋊C4C3×D412yescomplemented
292C23×C22⋊C4C23×C311yescharacteristic
293C2×B(4,𝔽2)—264no—
294C2×B(4,𝔽2)—432no—
295C2×B(4,𝔽2)—432no—
296C22×#99—28no—
297C22×#99—216no—
298#2404—416no—
299#2403—216no—
300#2403—216no—
301#2403—48no—
302#2403—44no—
303#2403—416no—
304#2403C3×D4116yescomplemented
305C2×#393—24no—
306C2×#392—28no—
307C2×#392—24no—
308C2×#392—28no—
309C2×#392—28no—
310C2×#392—44no—
311C2×#392—42no—
312C2×#386—24no—
313C2×#386—28no—
314C2×#386—24no—
315C2×#386—24no—
316C2×#386—24no—
317C2×#386—28no—
318C2×#386C3×D418yescomplemented
319C2×#381—22no—
320C2×#379—24no—
321C2×#379—22no—
322C2×#379—24no—
323C2×#379C23×C314yes—
324C2×#379C23×C314yes—
325C22×#95C3×D411yescharacteristic, complemented
326#1790—264no—
327#1781—216no—
328#1781—216no—
329#1781—216no—
330C2×#342—42no—
331#1446—24no—
332#1438—28no—
333#1438—24no—
334#1438—28no—
335#1438—28no—
336C22⋊#95—24no—
337C22⋊#95—28no—
338C22⋊#95—24no—
339#1304—44no—
340C25×C3—22no—
341C25×C3—24no—
342C25×C3—22no—
343C25×C3—28no—
344C25×C3—28no—
345C25×C3—28no—
346C25×C3—24no—
347C25×C3—28no—
348C25×C3—28no—
349C25×C3—44no—
350C25×C3—48no—
351C25×C3—48no—
352C25×C3—44no—
353C25×C3—44no—
354C25×C3—44no—
355C25×C3—48no—
356C25×C3—48no—
357C25×C3—44no—
358C25×C3—44no—
359C25×C3—44no—
360C25×C3—48no—
361C25×C3—48no—
362C25×C3—81no—
363C25×C3—81no—
364C25×C3—82no—
365C25×C3—82no—
366C25×C3—84no—
367C25×C3—84no—
368C25×C3—84no—
369C25×C3—84no—
370C25×C3—84no—
371C25×C3—84no—
372C25×C3#12014yes—
373C25×C3#12018yescomplemented
374C25×C3C22×D411yescharacteristic
375C25×C3C22×D414yes—
376C25×C3C22×D414yes—
377C25×C3H(5,𝔽2)12yes—
378C25×C3H(5,𝔽2)14yes—
379C3×H(5,𝔽2)—2128no—
380C3×H(5,𝔽2)—4128no—
381C3×H(5,𝔽2)—464no—
382C3×H(5,𝔽2)—4128no—
383C3×H(5,𝔽2)—4128no—
384C3×H(5,𝔽2)—464no—
385C3×H(5,𝔽2)—464no—
386C3×H(5,𝔽2)—4128no—
387C3×H(5,𝔽2)—464no—
388C3×H(5,𝔽2)—4128no—
389C3×H(5,𝔽2)—4128no—
390C3×H(5,𝔽2)—4128no—
391C3×H(5,𝔽2)—4128no—
392C3×H(5,𝔽2)—4128no—
393C3×H(5,𝔽2)—464no—
394C3×H(5,𝔽2)—4128no—
395C3×H(5,𝔽2)—4128no—
396C3×H(5,𝔽2)—464no—
397C3×H(5,𝔽2)—464no—
398C3×H(5,𝔽2)—4128no—
399C2×C3×#41—416no—
400C2×C3×#41—416no—
401C2×C3×#41—416no—
402C2×C3×#41—464no—
403C2×C3×#41—464no—
404C2×C3×#41—432no—
405C2×C3×#41—464no—
406C2×C3×#41—432no—
407C2×C3×#41—4128no—
408C2×C3×#41—464no—
409C2×C3×#41—464no—
410C2×C3×#41—4128no—
411C2×C3×#41—464no—
412C2×C3×#41—4128no—
413C2×C3×#41—464no—
414C2×C3×#41—4128no—
415C2×C3×#41—464no—
416C2×C3×#41—464no—
417C2×C3×#41—432no—
418C2×C3×#41—432no—
419C2×C3×#41—464no—
420C2×C3×#41—416no—
421C22×C3×Q8—28no—
422C22×C3×Q8—44no—
423C22×C3×Q8—48no—
424C22×C3×Q8—48no—
425C22×C3×Q8—44no—
426C22×C3×D4—216no—
427C22×C3×D4—216no—
428C22×C3×D4—232no—
429C22×C3×D4—232no—
430C22×C3×D4—28no—
431C22×C3×D4—216no—
432C22×C3×D4—28no—
433C22×C3×D4—216no—
434C22×C3×D4—216no—
435C22×C3×D4—216no—
436C22×C3×D4—216no—
437C22×C3×D4—28no—
438C22×C3×D4—216no—
439C22×C3×D4—216no—
440C22×C3×D4—216no—
441C22×C3×D4—216no—
442C22×C3×D4—216no—
443C22×C3×D4—216no—
444C22×C3×D4—48no—
445C22×C3×D4—48no—
446C22×C3×D4—48no—
447C22×C3×D4—44no—
448C22×C3×D4—48no—
449C22×C3×D4—48no—
450C22×C3×D4—48no—
451C22×C3×D4—48no—
452C22×C3×D4—48no—
453C22×C3×D4—44no—
454C22×C3×D4—48no—
455C22×C3×D4—48no—
456C22×C3×D4—416no—
457C22×C3×D4—416no—
458C22×C3×D4—48no—
459C22×C3×D4—464no—
460C22×C3×D4—464no—
461C22×C3×D4—464no—
462C22×C3×D4—464no—
463C22×C3×D4—464no—
464C22×C3×D4—4128no—
465C22×C3×D4—464no—
466C22×C3×D4—48no—
467C22×C3×D4—48no—
468C22×C3×D4—48no—
469C22×C3×D4—48no—
470C22×C3×D4—48no—
471C22×C3×D4—48no—
472C22×C3×D4—48no—
473C22×C3×D4—48no—
474C22×C3×D4—48no—
475C22×C3×D4—48no—
476C22×C3×D4—48no—
477C22×C3×D4—48no—
478C22×C3×D4—48no—
479C22×C3×D4—48no—
480C22×C3×D4—416no—
481C22×C3×D4—416no—
482C22×C3×D4—416no—
483C22×C3×D4—416no—
484C22×C3×D4—416no—
485C22×C3×D4—416no—
486C22×C3×D4—416no—
487C22×C3×D4—464no—
488C22×C3×D4—464no—
489C22×C3×D4—432no—
490C22×C3×D4—464no—
491C22×C3×D4—432no—
492C22×C3×D4—464no—
493C22×C3×D4—4128no—
494C22×C3×D4—464no—
495C22×C3×D4—464no—
496C22×C3×D4—464no—
497C22×C3×D4—464no—
498C22×C3×D4—4128no—
499C22×C3×D4—4128no—
500C22×C3×D4—464no—
501C22×C3×D4—432no—
502C22×C3×D4—432no—
503C22×C3×D4—464no—
504C22×C3×D4—44no—
505C22×C3×D4—44no—
506C22×C3×D4—44no—
507C22×C3×D4—44no—
508C22×C3×D4—44no—
509C22×C3×D4—44no—
510C22×C3×D4—48no—
511C22×C3×D4—48no—
512C22×C3×D4—48no—
513C22×C3×D4—48no—
514C22×C3×D4—48no—
515C22×C3×D4—48no—
516C22×C3×D4—48no—
517C22×C3×D4—44no—
518C22×C3×D4—44no—
519C22×C3×D4—48no—
520C22×C3×D4—416no—
521C22×C3×D4—48no—
522C22×C3×D4—48no—
523C22×C3×D4—44no—
524C22×C3×D4—48no—
525C22×C3×D4—416no—
526C22×C3×D4—416no—
527C22×C3×D4—416no—
528C22×C3×D4—416no—
529C22×C3×D4—416no—
530C22×C3×D4—82no—
531C22×C3×D4—84no—
532C22×C3×D4—84no—
533C22×C3×D4—82no—
534C22×C3×D4—88no—
535C22×C3×D4—88no—
536C22×C3×D4—88no—
537C22×C3×D4—832no—
538C22×C3×D4—84no—
539C22×C3×D4—84no—
540C22×C3×D4—816no—
541C22×C3×D4—816no—
542C22×C3×D4—164no—
543C22×C3×D4—164no—
544C23×C3×C4—22no—
545C23×C3×C4—24no—
546C23×C3×C4—22no—
547C23×C3×C4—28no—
548C23×C3×C4—28no—
549C23×C3×C4—28no—
550C23×C3×C4—216no—
551C23×C3×C4—22no—
552C23×C3×C4—24no—
553C23×C3×C4—28no—
554C23×C3×C4—28no—
555C23×C3×C4—21no—
556C23×C3×C4—22no—
557C23×C3×C4—28no—
558C23×C3×C4—21no—
559C23×C3×C4—48no—
560C23×C3×C4—48no—
561C23×C3×C4—42no—
562C23×C3×C4—44no—
563C23×C3×C4—48no—
564C23×C3×C4—48no—
565C23×C3×C4—48no—
566C23×C3×C4—48no—
567C23×C3×C4—48no—
568C23×C3×C4—48no—
569C23×C3×C4—44no—
570C23×C3×C4—48no—
571C23×C3×C4—48no—
572C23×C3×C4—44no—
573C23×C3×C4—44no—
574C23×C3×C4—44no—
575C23×C3×C4—44no—
576C23×C3×C4—81no—
577C23×C3×C4#12014yes—
578C23×C3×C4#12018yescomplemented
579C3×#120—464no—
580C3×#120—4128no—
581C3×#120—832no—
582C3×#120—864no—
583C3×#120—864no—
584C3×#120—864no—
585C2×C3×C22⋊C4—28no—
586C2×C3×C22⋊C4—216no—
587C2×C3×C22⋊C4—28no—
588C2×C3×C22⋊C4—28no—
589C2×C3×C22⋊C4—48no—
590C2×C3×C22⋊C4—48no—
591C2×C3×C22⋊C4—416no—
592C2×C3×C22⋊C4—416no—
593C2×C3×C22⋊C4—416no—
594C2×C3×C22⋊C4—432no—
595C2×C3×C22⋊C4—416no—
596C2×C3×C22⋊C4—48no—
597C2×C3×C22⋊C4—48no—
598C2×C3×C22⋊C4—416no—
599C2×C3×C22⋊C4—48no—
600C2×C3×C22⋊C4—416no—
601C2×C3×C22⋊C4—416no—
602C2×C3×C22⋊C4—48no—
603C2×C3×C22⋊C4—44no—
604C2×C3×C22⋊C4—48no—
605C2×C3×C22⋊C4—48no—
606C2×C3×C22⋊C4—48no—
607C2×C3×C22⋊C4—416no—
608C2×C3×C22⋊C4—48no—
609C2×C3×C22⋊C4—48no—
610C2×C3×C22⋊C4—44no—
611C2×C3×C22⋊C4—48no—
612C2×C3×C22⋊C4—416no—
613C2×C3×C22⋊C4—48no—
614C2×C3×C22⋊C4—416no—
615C2×C3×C22⋊C4—44no—
616C2×C3×C22⋊C4—48no—
617C2×C3×C22⋊C4—84no—
618C2×C3×C22⋊C4—88no—
619C2×C3×C22⋊C4—84no—
620C2×C3×C22⋊C4—84no—
621C2×C3×C22⋊C4—816no—
622C2×C3×C22⋊C4—816no—
623C2×C3×C22⋊C4—84no—
624C2×C3×C22⋊C4—82no—
625C2×C3×C22⋊C4—88no—
626C2×C3×C22⋊C4—84no—
627C2×C3×C22⋊C4—84no—
628C2×C3×C22⋊C4—84no—
629C2×C3×C22⋊C4—84no—
630C2×C3×C22⋊C4—88no—
631C2×C3×C22⋊C4—84no—
632C2×C3×C22⋊C4—84no—
633C2×C3×C22⋊C4—88no—
634C2×C3×C22⋊C4—84no—
635C2×C3×C22⋊C4—84no—
636C3×#99—464no—
637C3×#99—4128no—
638C3×#95—44no—
639C3×#95—416no—
640C3×#95—416no—
641C3×#95—48no—
642C3×#95—48no—
643C3×#95—416no—
644C3×#95—416no—
645C26—22no—
646C26C2×C3×D412yes—
647C26C2×C3×D414yes—
648C26C24×C311yescharacteristic
649C2×H(5,𝔽2)—232no—
650C2×H(5,𝔽2)—232no—
651C2×H(5,𝔽2)—232no—
652C2×H(5,𝔽2)—432no—
653C2×H(5,𝔽2)—416no—
654C2×H(5,𝔽2)—432no—
655C2×H(5,𝔽2)—432no—
656C2×H(5,𝔽2)—416no—
657C2×H(5,𝔽2)—416no—
658C2×H(5,𝔽2)—432no—
659C2×H(5,𝔽2)—416no—
660C2×H(5,𝔽2)—4256no—
661C2×H(5,𝔽2)—416no—
662C2×H(5,𝔽2)—416no—
663C2×H(5,𝔽2)—432no—
664C2×H(5,𝔽2)—432no—
665C2×H(5,𝔽2)—416no—
666C2×H(5,𝔽2)—4256no—
667C2×H(5,𝔽2)—416no—
668C2×H(5,𝔽2)—416no—
669C22×#41—216no—
670C22×#41—416no—
671C22×#41—416no—
672C22×#41—416no—
673C22×#41—44no—
674C22×#41—48no—
675C22×#41—416no—
676C22×#41—416no—
677C22×#41—48no—
678C22×#41—416no—
679C22×#41—416no—
680C22×#41—416no—
681C22×#41—44no—
682C22×#41—48no—
683C23×Q8—22no—
684C23×D4—24no—
685C23×D4—28no—
686C23×D4—24no—
687C23×D4—22no—
688C23×D4—216no—
689C23×D4—24no—
690C23×D4—24no—
691C23×D4—28no—
692C23×D4—28no—
693C23×D4—24no—
694C23×D4—28no—
695C23×D4—28no—
696C23×D4—28no—
697C23×D4—28no—
698C23×D4—24no—
699C23×D4—28no—
700C23×D4—48no—
701C23×D4—416no—
702C23×D4—41no—
703C23×D4—416no—
704C23×D4—416no—
705C23×D4—48no—
706C23×D4—416no—
707C23×D4—416no—
708C23×D4—416no—
709C23×D4—416no—
710C23×D4—416no—
711C23×D4—416no—
712C23×D4—48no—
713C23×D4—416no—
714C23×D4—44no—
715C23×D4—48no—
716C23×D4—44no—
717C23×D4—48no—
718C23×D4—48no—
719C23×D4—44no—
720C23×D4—82no—
721C23×D4C2×C3×D418yes—
722C23×D4C2×C3×D4116yes—
723C24×C4—22no—
724C24×C4—24no—
725C24×C4C2×C3×D412yes—
726C24×C4C2×C3×D414yes—
727C24×C4C2×C3×D411yescharacteristic
728C24×C4C2×C3×D411yescharacteristic
729C2×#120—216no—
730C2×#120—232no—
731C2×#120—48no—
732C2×#120—416no—
733C2×#120—416no—
734C2×#120—416no—
735C2×#120—416no—
736C2×#120—416no—
737C2×#120—416no—
738C2×#120—416no—
739C2×#120—432no—
740C2×#120—432no—
741C2×#120—88no—
742C2×#120—88no—
743C22×C22⋊C4—28no—
744C22×C22⋊C4—24no—
745C22×C22⋊C4—24no—
746C22×C22⋊C4—28no—
747C22×C22⋊C4—24no—
748C22×C22⋊C4—28no—
749C22×C22⋊C4—24no—
750C22×C22⋊C4—22no—
751C22×C22⋊C4—24no—
752C22×C22⋊C4—28no—
753C22×C22⋊C4—24no—
754C22×C22⋊C4—28no—
755C22×C22⋊C4—24no—
756C22×C22⋊C4—24no—
757C22×C22⋊C4—48no—
758C22×C22⋊C4—42no—
759C22×C22⋊C4—48no—
760C22×C22⋊C4—82no—
761C22×C22⋊C4C2×C3×D418yes—
762B(4,𝔽2)—4256no—
763C2×#99—232no—
764C2×#99—264no—
765C2×#99—432no—
766C2×#99—432no—
767C2×#99—416no—
768C2×#99—416no—
769#393—416no—
770#392—416no—
771#392—416no—
772#392—432no—
773#392—416no—
774#392—432no—
775#392—416no—
776#386—216no—
777#386—232no—
778#386—48no—
779#386—416no—
780#386—416no—
781#386—416no—
782#386—432no—
783#386—416no—
784#386—416no—
785#381—48no—
786#379—28no—
787#379—28no—
788#379—24no—
789#379—28no—
790#379—48no—
791#379—88no—
792#379—88no—
793#379C2×C3×D418yes—
794C2×#95—24no—
795C2×#95—28no—
796C2×#95—28no—
797C2×#95—24no—
798C2×#95—24no—
799C2×#95—28no—
800C2×#95—41no—
801C2×#95—44no—
802#342—84no—
803C24×C3—24no—
804C24×C3—24no—
805C24×C3—28no—
806C24×C3—28no—
807C24×C3—24no—
808C24×C3—28no—
809C24×C3—24no—
810C24×C3—28no—
811C24×C3—24no—
812C24×C3—24no—
813C24×C3—216no—
814C24×C3—216no—
815C24×C3—28no—
816C24×C3—24no—
817C24×C3—28no—
818C24×C3—216no—
819C24×C3—24no—
820C24×C3—28no—
821C24×C3—41no—
822C24×C3—41no—
823C24×C3—44no—
824C24×C3—44no—
825C24×C3—44no—
826C24×C3—44no—
827C24×C3—416no—
828C24×C3—416no—
829C24×C3—416no—
830C24×C3—44no—
831C24×C3—44no—
832C24×C3—42no—
833C24×C3—42no—
834C24×C3—432no—
835C24×C3—44no—
836C24×C3—44no—
837C24×C3—44no—
838C24×C3—48no—
839C24×C3—44no—
840C24×C3—44no—
841C24×C3—48no—
842C24×C3—44no—
843C24×C3—48no—
844C24×C3—48no—
845C24×C3—416no—
846C24×C3—432no—
847C24×C3—432no—
848C24×C3—416no—
849C24×C3—44no—
850C24×C3—44no—
851C24×C3—44no—
852C24×C3—44no—
853C24×C3—416no—
854C24×C3—432no—
855C24×C3—416no—
856C24×C3—416no—
857C24×C3—44no—
858C24×C3—44no—
859C24×C3—44no—
860C24×C3—44no—
861C24×C3—48no—
862C24×C3—48no—
863C24×C3—44no—
864C24×C3—48no—
865C24×C3—44no—
866C24×C3—82no—
867C24×C3—82no—
868C24×C3—82no—
869C24×C3—82no—
870C24×C3—88no—
871C24×C3—88no—
872C24×C3—88no—
873C24×C3—88no—
874C24×C3—88no—
875C24×C3—816no—
876C24×C3—816no—
877C24×C3—84no—
878C24×C3—84no—
879C24×C3—816no—
880C24×C3—816no—
881C24×C3—88no—
882C24×C3—88no—
883C24×C3—816no—
884C24×C3—816no—
885C24×C3—168no—
886C24×C3—168no—
887C24×C3—164no—
888C24×C3—164no—
889C24×C3—168no—
890C24×C3—168no—
891C24×C3—168no—
892C24×C3—1616no—
893C24×C3—1616no—
894C24×C3—1616no—
895C24×C3—1616no—
896C24×C3—1616no—
897C24×C3—168no—
898C24×C3—168no—
899C24×C3—1616no—
900C24×C3—1616no—
901C24×C3—164no—
902C24×C3—164no—
903C24×C3—164no—
904C24×C3—1616no—
905C24×C3—164no—
906C24×C3B(4,𝔽2)18yescomplemented
907C24×C3C2×#12012yes—
908C24×C3C2×#12014yes—
909C24×C3#53411yescharacteristic
910C24×C3#53414yes—
911C24×C3#53414yes—
912C24×C3D4214yes—
913C24×C3D4214yes—
914C24×C3D4218yes—
915C24×C3D4212yes—
916C24×C3H(3,𝔽4)12yes—
917C3×#41—4256no—
918C3×#41—4128no—
919C3×#41—4128no—
920C3×#41—4128no—
921C3×#41—4256no—
922C3×#41—4256no—
923C3×#41—4256no—
924C3×#41—4128no—
925C2×C3×Q8—432no—
926C2×C3×Q8—416no—
927C2×C3×Q8—432no—
928C2×C3×Q8—416no—
929C2×C3×Q8—416no—
930C2×C3×D4—264no—
931C2×C3×D4—232no—
932C2×C3×D4—264no—
933C2×C3×D4—264no—
934C2×C3×D4—232no—
935C2×C3×D4—432no—
936C2×C3×D4—432no—
937C2×C3×D4—432no—
938C2×C3×D4—432no—
939C2×C3×D4—416no—
940C2×C3×D4—432no—
941C2×C3×D4—432no—
942C2×C3×D4—432no—
943C2×C3×D4—432no—
944C2×C3×D4—432no—
945C2×C3×D4—432no—
946C2×C3×D4—432no—
947C2×C3×D4—432no—
948C2×C3×D4—432no—
949C2×C3×D4—432no—
950C2×C3×D4—416no—
951C2×C3×D4—432no—
952C2×C3×D4—432no—
953C2×C3×D4—416no—
954C2×C3×D4—432no—
955C2×C3×D4—432no—
956C2×C3×D4—432no—
957C2×C3×D4—432no—
958C2×C3×D4—432no—
959C2×C3×D4—432no—
960C2×C3×D4—432no—
961C2×C3×D4—432no—
962C2×C3×D4—432no—
963C2×C3×D4—416no—
964C2×C3×D4—416no—
965C2×C3×D4—4256no—
966C2×C3×D4—4128no—
967C2×C3×D4—416no—
968C2×C3×D4—416no—
969C2×C3×D4—416no—
970C2×C3×D4—416no—
971C2×C3×D4—416no—
972C2×C3×D4—416no—
973C2×C3×D4—416no—
974C2×C3×D4—416no—
975C2×C3×D4—432no—
976C2×C3×D4—432no—
977C2×C3×D4—432no—
978C2×C3×D4—432no—
979C2×C3×D4—432no—
980C2×C3×D4—432no—
981C2×C3×D4—416no—
982C2×C3×D4—416no—
983C2×C3×D4—432no—
984C2×C3×D4—432no—
985C2×C3×D4—432no—
986C2×C3×D4—432no—
987C2×C3×D4—432no—
988C2×C3×D4—416no—
989C2×C3×D4—416no—
990C2×C3×D4—416no—
991C2×C3×D4—416no—
992C2×C3×D4—432no—
993C2×C3×D4—432no—
994C2×C3×D4—4128no—
995C2×C3×D4—4128no—
996C2×C3×D4—4256no—
997C2×C3×D4—4256no—
998C2×C3×D4—4256no—
999C2×C3×D4—4128no—
1000C2×C3×D4—416no—
1001C2×C3×D4—416no—
1002C2×C3×D4—416no—
1003C2×C3×D4—416no—
1004C2×C3×D4—416no—
1005C2×C3×D4—416no—
1006C2×C3×D4—416no—
1007C2×C3×D4—416no—
1008C2×C3×D4—432no—
1009C2×C3×D4—88no—
1010C2×C3×D4—816no—
1011C2×C3×D4—816no—
1012C2×C3×D4—816no—
1013C2×C3×D4—816no—
1014C2×C3×D4—88no—
1015C2×C3×D4—88no—
1016C2×C3×D4—816no—
1017C2×C3×D4—832no—
1018C2×C3×D4—864no—
1019C2×C3×D4—832no—
1020C2×C3×D4—832no—
1021C2×C3×D4—832no—
1022C2×C3×D4—1616no—
1023C2×C3×D4—1616no—
1024C2×C3×D4—1616no—
1025C2×C3×D4—1616no—
1026C2×C3×D4—1616no—
1027C2×C3×D4—1632no—
1028C2×C3×D4—1616no—
1029C22×C3×C4—24no—
1030C22×C3×C4—28no—
1031C22×C3×C4—28no—
1032C22×C3×C4—24no—
1033C22×C3×C4—24no—
1034C22×C3×C4—24no—
1035C22×C3×C4—216no—
1036C22×C3×C4—216no—
1037C22×C3×C4—28no—
1038C22×C3×C4—28no—
1039C22×C3×C4—216no—
1040C22×C3×C4—24no—
1041C22×C3×C4—24no—
1042C22×C3×C4—28no—
1043C22×C3×C4—24no—
1044C22×C3×C4—22no—
1045C22×C3×C4—416no—
1046C22×C3×C4—432no—
1047C22×C3×C4—416no—
1048C22×C3×C4—432no—
1049C22×C3×C4—432no—
1050C22×C3×C4—432no—
1051C22×C3×C4—432no—
1052C22×C3×C4—44no—
1053C22×C3×C4—44no—
1054C22×C3×C4—44no—
1055C22×C3×C4—432no—
1056C22×C3×C4—48no—
1057C22×C3×C4—48no—
1058C22×C3×C4—44no—
1059C22×C3×C4—416no—
1060C22×C3×C4—432no—
1061C22×C3×C4—432no—
1062C22×C3×C4—432no—
1063C22×C3×C4—416no—
1064C22×C3×C4—432no—
1065C22×C3×C4—432no—
1066C22×C3×C4—416no—
1067C22×C3×C4—44no—
1068C22×C3×C4—44no—
1069C22×C3×C4—44no—
1070C22×C3×C4—44no—
1071C22×C3×C4—48no—
1072C22×C3×C4—44no—
1073C22×C3×C4—42no—
1074C22×C3×C4—41no—
1075C22×C3×C4—41no—
1076C22×C3×C4—44no—
1077C22×C3×C4—48no—
1078C22×C3×C4—44no—
1079C22×C3×C4—48no—
1080C22×C3×C4—44no—
1081C22×C3×C4—48no—
1082C22×C3×C4—48no—
1083C22×C3×C4—48no—
1084C22×C3×C4—48no—
1085C22×C3×C4—41no—
1086C22×C3×C4—48no—
1087C22×C3×C4—44no—
1088C22×C3×C4—48no—
1089C22×C3×C4—42no—
1090C22×C3×C4—88no—
1091C22×C3×C4—82no—
1092C22×C3×C4—88no—
1093C22×C3×C4—88no—
1094C22×C3×C4—84no—
1095C22×C3×C4—84no—
1096C22×C3×C4—82no—
1097C22×C3×C4—164no—
1098C22×C3×C4B(4,𝔽2)18yescomplemented
1099C3×C22⋊C4—432no—
1100C3×C22⋊C4—416no—
1101C3×C22⋊C4—816no—
1102C3×C22⋊C4—832no—
1103C3×C22⋊C4—832no—
1104C3×C22⋊C4—864no—
1105C3×C22⋊C4—88no—
1106C3×C22⋊C4—832no—
1107C3×C22⋊C4—816no—
1108C3×C22⋊C4—816no—
1109C3×C22⋊C4—816no—
1110C3×C22⋊C4—88no—
1111C3×C22⋊C4—88no—
1112C3×C22⋊C4—164no—
1113C3×C22⋊C4—1616no—
1114C3×C22⋊C4—168no—
1115C3×C22⋊C4—168no—
1116C25—24no—
1117C25—22no—
1118C25—28no—
1119C25—22no—
1120C25—28no—
1121C25—28no—
1122C25—24no—
1123C25—28no—
1124C25—28no—
1125C25—44no—
1126C25—48no—
1127C25—48no—
1128C25—44no—
1129C25—44no—
1130C25—48no—
1131C25—44no—
1132C25—44no—
1133C25—48no—
1134C25—44no—
1135C25—44no—
1136C25—48no—
1137C25—48no—
1138C25—81no—
1139C25—81no—
1140C25—82no—
1141C25—82no—
1142C25—84no—
1143C25—84no—
1144C25—84no—
1145C25—84no—
1146C25—84no—
1147C25—84no—
1148C25C3×#12014yes—
1149C25C3×#12018yescomplemented
1150C25C22×C3×D411yescharacteristic
1151C25C22×C3×D414yes—
1152C25C22×C3×D414yes—
1153C25C3×H(5,𝔽2)12yes—
1154C25C3×H(5,𝔽2)14yes—
1155H(5,𝔽2)—2128no—
1156H(5,𝔽2)—4128no—
1157H(5,𝔽2)—464no—
1158H(5,𝔽2)—4128no—
1159H(5,𝔽2)—4128no—
1160H(5,𝔽2)—464no—
1161H(5,𝔽2)—464no—
1162H(5,𝔽2)—4128no—
1163H(5,𝔽2)—464no—
1164H(5,𝔽2)—4128no—
1165H(5,𝔽2)—4128no—
1166H(5,𝔽2)—4128no—
1167H(5,𝔽2)—4128no—
1168H(5,𝔽2)—4128no—
1169H(5,𝔽2)—464no—
1170H(5,𝔽2)—4128no—
1171H(5,𝔽2)—4128no—
1172H(5,𝔽2)—464no—
1173H(5,𝔽2)—464no—
1174H(5,𝔽2)—4128no—
1175C2×#41—416no—
1176C2×#41—416no—
1177C2×#41—416no—
1178C2×#41—464no—
1179C2×#41—464no—
1180C2×#41—432no—
1181C2×#41—464no—
1182C2×#41—432no—
1183C2×#41—4128no—
1184C2×#41—464no—
1185C2×#41—464no—
1186C2×#41—4128no—
1187C2×#41—464no—
1188C2×#41—4128no—
1189C2×#41—464no—
1190C2×#41—4128no—
1191C2×#41—464no—
1192C2×#41—464no—
1193C2×#41—432no—
1194C2×#41—432no—
1195C2×#41—464no—
1196C2×#41—416no—
1197C22×Q8—28no—
1198C22×Q8—44no—
1199C22×Q8—48no—
1200C22×Q8—44no—
1201C22×Q8—48no—
1202C22×D4—216no—
1203C22×D4—216no—
1204C22×D4—232no—
1205C22×D4—232no—
1206C22×D4—216no—
1207C22×D4—28no—
1208C22×D4—216no—
1209C22×D4—28no—
1210C22×D4—216no—
1211C22×D4—216no—
1212C22×D4—216no—
1213C22×D4—28no—
1214C22×D4—216no—
1215C22×D4—216no—
1216C22×D4—216no—
1217C22×D4—216no—
1218C22×D4—216no—
1219C22×D4—216no—
1220C22×D4—48no—
1221C22×D4—48no—
1222C22×D4—48no—
1223C22×D4—44no—
1224C22×D4—48no—
1225C22×D4—48no—
1226C22×D4—48no—
1227C22×D4—48no—
1228C22×D4—44no—
1229C22×D4—48no—
1230C22×D4—48no—
1231C22×D4—48no—
1232C22×D4—416no—
1233C22×D4—416no—
1234C22×D4—48no—
1235C22×D4—464no—
1236C22×D4—464no—
1237C22×D4—464no—
1238C22×D4—464no—
1239C22×D4—464no—
1240C22×D4—4128no—
1241C22×D4—464no—
1242C22×D4—48no—
1243C22×D4—48no—
1244C22×D4—48no—
1245C22×D4—48no—
1246C22×D4—48no—
1247C22×D4—48no—
1248C22×D4—48no—
1249C22×D4—48no—
1250C22×D4—48no—
1251C22×D4—48no—
1252C22×D4—48no—
1253C22×D4—48no—
1254C22×D4—48no—
1255C22×D4—48no—
1256C22×D4—416no—
1257C22×D4—416no—
1258C22×D4—416no—
1259C22×D4—416no—
1260C22×D4—416no—
1261C22×D4—416no—
1262C22×D4—416no—
1263C22×D4—464no—
1264C22×D4—464no—
1265C22×D4—432no—
1266C22×D4—464no—
1267C22×D4—432no—
1268C22×D4—464no—
1269C22×D4—4128no—
1270C22×D4—464no—
1271C22×D4—464no—
1272C22×D4—464no—
1273C22×D4—464no—
1274C22×D4—4128no—
1275C22×D4—4128no—
1276C22×D4—464no—
1277C22×D4—432no—
1278C22×D4—432no—
1279C22×D4—464no—
1280C22×D4—44no—
1281C22×D4—48no—
1282C22×D4—416no—
1283C22×D4—44no—
1284C22×D4—44no—
1285C22×D4—44no—
1286C22×D4—44no—
1287C22×D4—44no—
1288C22×D4—44no—
1289C22×D4—48no—
1290C22×D4—48no—
1291C22×D4—48no—
1292C22×D4—48no—
1293C22×D4—48no—
1294C22×D4—48no—
1295C22×D4—48no—
1296C22×D4—44no—
1297C22×D4—48no—
1298C22×D4—48no—
1299C22×D4—44no—
1300C22×D4—48no—
1301C22×D4—416no—
1302C22×D4—416no—
1303C22×D4—416no—
1304C22×D4—416no—
1305C22×D4—416no—
1306C22×D4—82no—
1307C22×D4—84no—
1308C22×D4—84no—
1309C22×D4—82no—
1310C22×D4—88no—
1311C22×D4—88no—
1312C22×D4—88no—
1313C22×D4—832no—
1314C22×D4—84no—
1315C22×D4—84no—
1316C22×D4—816no—
1317C22×D4—816no—
1318C22×D4—164no—
1319C22×D4—164no—
1320C23×C4—22no—
1321C23×C4—24no—
1322C23×C4—22no—
1323C23×C4—28no—
1324C23×C4—28no—
1325C23×C4—28no—
1326C23×C4—216no—
1327C23×C4—22no—
1328C23×C4—24no—
1329C23×C4—28no—
1330C23×C4—28no—
1331C23×C4—21no—
1332C23×C4—22no—
1333C23×C4—28no—
1334C23×C4—21no—
1335C23×C4—48no—
1336C23×C4—48no—
1337C23×C4—42no—
1338C23×C4—44no—
1339C23×C4—48no—
1340C23×C4—48no—
1341C23×C4—48no—
1342C23×C4—48no—
1343C23×C4—48no—
1344C23×C4—48no—
1345C23×C4—44no—
1346C23×C4—48no—
1347C23×C4—44no—
1348C23×C4—48no—
1349C23×C4—44no—
1350C23×C4—44no—
1351C23×C4—44no—
1352C23×C4—81no—
1353C23×C4C3×#12014yes—
1354C23×C4C3×#12018yescomplemented
1355#120—464no—
1356#120—4128no—
1357#120—832no—
1358#120—864no—
1359#120—864no—
1360#120—864no—
1361C2×C22⋊C4—216no—
1362C2×C22⋊C4—28no—
1363C2×C22⋊C4—28no—
1364C2×C22⋊C4—28no—
1365C2×C22⋊C4—48no—
1366C2×C22⋊C4—48no—
1367C2×C22⋊C4—416no—
1368C2×C22⋊C4—416no—
1369C2×C22⋊C4—48no—
1370C2×C22⋊C4—416no—
1371C2×C22⋊C4—416no—
1372C2×C22⋊C4—432no—
1373C2×C22⋊C4—48no—
1374C2×C22⋊C4—48no—
1375C2×C22⋊C4—44no—
1376C2×C22⋊C4—48no—
1377C2×C22⋊C4—416no—
1378C2×C22⋊C4—416no—
1379C2×C22⋊C4—416no—
1380C2×C22⋊C4—48no—
1381C2×C22⋊C4—48no—
1382C2×C22⋊C4—48no—
1383C2×C22⋊C4—416no—
1384C2×C22⋊C4—44no—
1385C2×C22⋊C4—48no—
1386C2×C22⋊C4—48no—
1387C2×C22⋊C4—48no—
1388C2×C22⋊C4—416no—
1389C2×C22⋊C4—48no—
1390C2×C22⋊C4—416no—
1391C2×C22⋊C4—44no—
1392C2×C22⋊C4—48no—
1393C2×C22⋊C4—84no—
1394C2×C22⋊C4—88no—
1395C2×C22⋊C4—84no—
1396C2×C22⋊C4—84no—
1397C2×C22⋊C4—816no—
1398C2×C22⋊C4—816no—
1399C2×C22⋊C4—84no—
1400C2×C22⋊C4—82no—
1401C2×C22⋊C4—88no—
1402C2×C22⋊C4—84no—
1403C2×C22⋊C4—84no—
1404C2×C22⋊C4—84no—
1405C2×C22⋊C4—84no—
1406C2×C22⋊C4—88no—
1407C2×C22⋊C4—84no—
1408C2×C22⋊C4—84no—
1409C2×C22⋊C4—88no—
1410C2×C22⋊C4—84no—
1411C2×C22⋊C4—84no—
1412#99—464no—
1413#99—4128no—
1414#95—44no—
1415#95—416no—
1416#95—416no—
1417#95—48no—
1418#95—48no—
1419#95—416no—
1420#95—416no—
1421C23×C3—22no—
1422C23×C3—22no—
1423C23×C3—22no—
1424C23×C3—22no—
1425C23×C3—24no—
1426C23×C3—21no—
1427C23×C3—24no—
1428C23×C3—21no—
1429C23×C3—216no—
1430C23×C3—22no—
1431C23×C3—28no—
1432C23×C3—28no—
1433C23×C3—22no—
1434C23×C3—28no—
1435C23×C3—28no—
1436C23×C3—216no—
1437C23×C3—216no—
1438C23×C3—232no—
1439C23×C3—28no—
1440C23×C3—216no—
1441C23×C3—44no—
1442C23×C3—48no—
1443C23×C3—44no—
1444C23×C3—44no—
1445C23×C3—48no—
1446C23×C3—44no—
1447C23×C3—44no—
1448C23×C3—44no—
1449C23×C3—42no—
1450C23×C3—48no—
1451C23×C3—44no—
1452C23×C3—44no—
1453C23×C3—42no—
1454C23×C3—44no—
1455C23×C3—44no—
1456C23×C3—48no—
1457C23×C3—48no—
1458C23×C3—416no—
1459C23×C3—416no—
1460C23×C3—48no—
1461C23×C3—48no—
1462C23×C3—48no—
1463C23×C3—48no—
1464C23×C3—48no—
1465C23×C3—48no—
1466C23×C3—48no—
1467C23×C3—416no—
1468C23×C3—416no—
1469C23×C3—416no—
1470C23×C3—48no—
1471C23×C3—416no—
1472C23×C3—416no—
1473C23×C3—416no—
1474C23×C3—48no—
1475C23×C3—48no—
1476C23×C3—48no—
1477C23×C3—48no—
1478C23×C3—464no—
1479C23×C3—48no—
1480C23×C3—44no—
1481C23×C3—44no—
1482C23×C3—44no—
1483C23×C3—44no—
1484C23×C3—416no—
1485C23×C3—48no—
1486C23×C3—48no—
1487C23×C3—44no—
1488C23×C3—44no—
1489C23×C3—48no—
1490C23×C3—88no—
1491C23×C3—88no—
1492C23×C3—88no—
1493C23×C3—88no—
1494C23×C3—84no—
1495C23×C3—84no—
1496C23×C3—88no—
1497C23×C3—88no—
1498C23×C3—88no—
1499C23×C3—88no—
1500C23×C3—88no—
1501C23×C3—88no—
1502C23×C3—88no—
1503C23×C3—88no—
1504C23×C3—88no—
1505C23×C3—816no—
1506C23×C3—88no—
1507C23×C3—88no—
1508C23×C3—88no—
1509C23×C3—816no—
1510C23×C3—84no—
1511C23×C3—84no—
1512C23×C3—84no—
1513C23×C3—84no—
1514C23×C3—816no—
1515C23×C3—816no—
1516C23×C3—816no—
1517C23×C3—816no—
1518C23×C3—84no—
1519C23×C3—84no—
1520C23×C3—88no—
1521C23×C3—88no—
1522C23×C3—84no—
1523C23×C3—84no—
1524C23×C3—164no—
1525C23×C3—168no—
1526C23×C3—168no—
1527C23×C3—164no—
1528C23×C3—162no—
1529C23×C3—164no—
1530C23×C3—162no—
1531C23×C3—1616no—
1532C23×C3—1616no—
1533C23×C3—1632no—
1534C23×C3—1664no—
1535C23×C3—1632no—
1536C23×C3—1664no—
1537C23×C3—168no—
1538C23×C3—168no—
1539C23×C3—168no—
1540C23×C3—164no—
1541C23×C3—164no—
1542C23×C3—168no—
1543C23×C3—1616no—
1544C23×C3—1616no—
1545C23×C3—1664no—
1546C23×C3—1664no—
1547C23×C3—1616no—
1548C23×C3—1616no—
1549C23×C3—1616no—
1550C23×C3—1616no—
1551C23×C3#240314yes—
1552C23×C3#240314yes—
1553C23×C3#240311yescharacteristic
1554C23×C3#267912yes—
1555C23×C3#267914yes—
1556C23×C3C2×B(4,𝔽2)14yes—
1557C23×C3C2×B(4,𝔽2)14yes—
1558C3×Q8—464no—
1559C3×D4—464no—
1560C3×D4—464no—
1561C3×D4—464no—
1562C3×D4—464no—
1563C3×D4—464no—
1564C3×D4—4128no—
1565C3×D4—464no—
1566C3×D4—464no—
1567C3×D4—832no—
1568C3×D4—1664no—
1569C3×D4—1664no—
1570C2×C3×C4—216no—
1571C2×C3×C4—232no—
1572C2×C3×C4—28no—
1573C2×C3×C4—216no—
1574C2×C3×C4—48no—
1575C2×C3×C4—48no—
1576C2×C3×C4—48no—
1577C2×C3×C4—48no—
1578C2×C3×C4—48no—
1579C2×C3×C4—416no—
1580C2×C3×C4—48no—
1581C2×C3×C4—48no—
1582C2×C3×C4—416no—
1583C2×C3×C4—416no—
1584C2×C3×C4—464no—
1585C2×C3×C4—4128no—
1586C2×C3×C4—48no—
1587C2×C3×C4—44no—
1588C2×C3×C4—48no—
1589C2×C3×C4—44no—
1590C2×C3×C4—48no—
1591C2×C3×C4—48no—
1592C2×C3×C4—48no—
1593C2×C3×C4—42no—
1594C2×C3×C4—84no—
1595C2×C3×C4—82no—
1596C2×C3×C4—82no—
1597C2×C3×C4—82no—
1598C2×C3×C4—816no—
1599C2×C3×C4—88no—
1600C2×C3×C4—88no—
1601C2×C3×C4—88no—
1602C2×C3×C4—88no—
1603C2×C3×C4—88no—
1604C2×C3×C4—88no—
1605C2×C3×C4—88no—
1606C2×C3×C4—88no—
1607C2×C3×C4—81no—
1608C2×C3×C4—88no—
1609C2×C3×C4—82no—
1610C2×C3×C4—164no—
1611C2×C3×C4—168no—
1612C2×C3×C4—164no—
1613C2×C3×C4—162no—
1614C24—24no—
1615C24—24no—
1616C24—28no—
1617C24—28no—
1618C24—28no—
1619C24—24no—
1620C24—28no—
1621C24—24no—
1622C24—216no—
1623C24—216no—
1624C24—24no—
1625C24—24no—
1626C24—24no—
1627C24—28no—
1628C24—28no—
1629C24—216no—
1630C24—28no—
1631C24—24no—
1632C24—41no—
1633C24—41no—
1634C24—44no—
1635C24—44no—
1636C24—44no—
1637C24—44no—
1638C24—42no—
1639C24—42no—
1640C24—416no—
1641C24—416no—
1642C24—416no—
1643C24—44no—
1644C24—44no—
1645C24—432no—
1646C24—48no—
1647C24—44no—
1648C24—44no—
1649C24—44no—
1650C24—44no—
1651C24—44no—
1652C24—48no—
1653C24—44no—
1654C24—48no—
1655C24—48no—
1656C24—416no—
1657C24—432no—
1658C24—432no—
1659C24—416no—
1660C24—44no—
1661C24—44no—
1662C24—44no—
1663C24—44no—
1664C24—416no—
1665C24—432no—
1666C24—416no—
1667C24—416no—
1668C24—44no—
1669C24—44no—
1670C24—44no—
1671C24—44no—
1672C24—48no—
1673C24—48no—
1674C24—44no—
1675C24—48no—
1676C24—44no—
1677C24—82no—
1678C24—82no—
1679C24—82no—
1680C24—82no—
1681C24—88no—
1682C24—88no—
1683C24—88no—
1684C24—88no—
1685C24—88no—
1686C24—816no—
1687C24—816no—
1688C24—84no—
1689C24—84no—
1690C24—816no—
1691C24—816no—
1692C24—88no—
1693C24—816no—
1694C24—88no—
1695C24—816no—
1696C24—168no—
1697C24—168no—
1698C24—164no—
1699C24—164no—
1700C24—168no—
1701C24—168no—
1702C24—168no—
1703C24—1616no—
1704C24—1616no—
1705C24—1616no—
1706C24—1616no—
1707C24—1616no—
1708C24—168no—
1709C24—168no—
1710C24—1616no—
1711C24—1616no—
1712C24—164no—
1713C24—164no—
1714C24—164no—
1715C24—1616no—
1716C24—164no—
1717C24C3×B(4,𝔽2)18yescomplemented
1718C24C2×C3×#12012yes—
1719C24C2×C3×#12014yes—
1720C24C3×#53411yescharacteristic
1721C24C3×#53414yes—
1722C24C3×#53414yes—
1723C24C3×D4214yes—
1724C24C3×D4214yes—
1725C24C3×D4218yes—
1726C24C3×D4212yes—
1727C24C3×H(3,𝔽4)12yes—
1728#41—4256no—
1729#41—4128no—
1730#41—4128no—
1731#41—4128no—
1732#41—4256no—
1733#41—4256no—
1734#41—4256no—
1735#41—4128no—
1736C2×Q8—432no—
1737C2×Q8—416no—
1738C2×Q8—432no—
1739C2×Q8—416no—
1740C2×Q8—416no—
1741C2×D4—264no—
1742C2×D4—232no—
1743C2×D4—264no—
1744C2×D4—264no—
1745C2×D4—232no—
1746C2×D4—432no—
1747C2×D4—432no—
1748C2×D4—432no—
1749C2×D4—432no—
1750C2×D4—416no—
1751C2×D4—432no—
1752C2×D4—432no—
1753C2×D4—432no—
1754C2×D4—432no—
1755C2×D4—432no—
1756C2×D4—432no—
1757C2×D4—432no—
1758C2×D4—432no—
1759C2×D4—432no—
1760C2×D4—432no—
1761C2×D4—416no—
1762C2×D4—432no—
1763C2×D4—432no—
1764C2×D4—416no—
1765C2×D4—432no—
1766C2×D4—432no—
1767C2×D4—432no—
1768C2×D4—432no—
1769C2×D4—432no—
1770C2×D4—432no—
1771C2×D4—432no—
1772C2×D4—432no—
1773C2×D4—432no—
1774C2×D4—416no—
1775C2×D4—416no—
1776C2×D4—4256no—
1777C2×D4—4128no—
1778C2×D4—416no—
1779C2×D4—416no—
1780C2×D4—416no—
1781C2×D4—416no—
1782C2×D4—416no—
1783C2×D4—416no—
1784C2×D4—416no—
1785C2×D4—416no—
1786C2×D4—432no—
1787C2×D4—432no—
1788C2×D4—432no—
1789C2×D4—432no—
1790C2×D4—432no—
1791C2×D4—416no—
1792C2×D4—432no—
1793C2×D4—416no—
1794C2×D4—432no—
1795C2×D4—416no—
1796C2×D4—416no—
1797C2×D4—432no—
1798C2×D4—432no—
1799C2×D4—432no—
1800C2×D4—432no—
1801C2×D4—432no—
1802C2×D4—432no—
1803C2×D4—416no—
1804C2×D4—416no—
1805C2×D4—4128no—
1806C2×D4—4128no—
1807C2×D4—4256no—
1808C2×D4—4256no—
1809C2×D4—4256no—
1810C2×D4—4128no—
1811C2×D4—416no—
1812C2×D4—416no—
1813C2×D4—416no—
1814C2×D4—416no—
1815C2×D4—416no—
1816C2×D4—416no—
1817C2×D4—416no—
1818C2×D4—416no—
1819C2×D4—432no—
1820C2×D4—88no—
1821C2×D4—816no—
1822C2×D4—816no—
1823C2×D4—816no—
1824C2×D4—816no—
1825C2×D4—88no—
1826C2×D4—88no—
1827C2×D4—816no—
1828C2×D4—832no—
1829C2×D4—864no—
1830C2×D4—832no—
1831C2×D4—832no—
1832C2×D4—832no—
1833C2×D4—1616no—
1834C2×D4—1616no—
1835C2×D4—1616no—
1836C2×D4—1616no—
1837C2×D4—1632no—
1838C2×D4—1616no—
1839C2×D4—1616no—
1840C22×C4—24no—
1841C22×C4—28no—
1842C22×C4—28no—
1843C22×C4—24no—
1844C22×C4—24no—
1845C22×C4—24no—
1846C22×C4—216no—
1847C22×C4—216no—
1848C22×C4—24no—
1849C22×C4—28no—
1850C22×C4—28no—
1851C22×C4—216no—
1852C22×C4—24no—
1853C22×C4—28no—
1854C22×C4—24no—
1855C22×C4—22no—
1856C22×C4—416no—
1857C22×C4—432no—
1858C22×C4—416no—
1859C22×C4—432no—
1860C22×C4—432no—
1861C22×C4—432no—
1862C22×C4—432no—
1863C22×C4—44no—
1864C22×C4—44no—
1865C22×C4—44no—
1866C22×C4—432no—
1867C22×C4—48no—
1868C22×C4—48no—
1869C22×C4—44no—
1870C22×C4—416no—
1871C22×C4—432no—
1872C22×C4—432no—
1873C22×C4—432no—
1874C22×C4—432no—
1875C22×C4—416no—
1876C22×C4—432no—
1877C22×C4—416no—
1878C22×C4—44no—
1879C22×C4—44no—
1880C22×C4—44no—
1881C22×C4—44no—
1882C22×C4—48no—
1883C22×C4—44no—
1884C22×C4—42no—
1885C22×C4—41no—
1886C22×C4—41no—
1887C22×C4—44no—
1888C22×C4—48no—
1889C22×C4—44no—
1890C22×C4—48no—
1891C22×C4—44no—
1892C22×C4—48no—
1893C22×C4—48no—
1894C22×C4—48no—
1895C22×C4—48no—
1896C22×C4—41no—
1897C22×C4—48no—
1898C22×C4—44no—
1899C22×C4—48no—
1900C22×C4—42no—
1901C22×C4—88no—
1902C22×C4—82no—
1903C22×C4—88no—
1904C22×C4—88no—
1905C22×C4—84no—
1906C22×C4—84no—
1907C22×C4—82no—
1908C22×C4—164no—
1909C22×C4C3×B(4,𝔽2)18yescomplemented
1910C22⋊C4—432no—
1911C22⋊C4—416no—
1912C22⋊C4—816no—
1913C22⋊C4—832no—
1914C22⋊C4—832no—
1915C22⋊C4—864no—
1916C22⋊C4—88no—
1917C22⋊C4—832no—
1918C22⋊C4—816no—
1919C22⋊C4—816no—
1920C22⋊C4—816no—
1921C22⋊C4—88no—
1922C22⋊C4—88no—
1923C22⋊C4—164no—
1924C22⋊C4—1616no—
1925C22⋊C4—168no—
1926C22⋊C4—168no—
1927C22×C3—24no—
1928C22×C3—24no—
1929C22×C3—24no—
1930C22×C3—24no—
1931C22×C3—24no—
1932C22×C3—24no—
1933C22×C3—24no—
1934C22×C3—22no—
1935C22×C3—24no—
1936C22×C3—28no—
1937C22×C3—24no—
1938C22×C3—28no—
1939C22×C3—416no—
1940C22×C3—432no—
1941C22×C3—41no—
1942C22×C3—44no—
1943C22×C3—48no—
1944C22×C3—42no—
1945C22×C3—41no—
1946C22×C3—44no—
1947C22×C3—48no—
1948C22×C3—416no—
1949C22×C3—48no—
1950C22×C3—48no—
1951C22×C3—88no—
1952C22×C3—816no—
1953C22×C3—88no—
1954C22×C3—816no—
1955C22×C3—816no—
1956C22×C3—816no—
1957C22×C3—816no—
1958C22×C3—816no—
1959C22×C3—816no—
1960C22×C3—832no—
1961C22×C3—88no—
1962C22×C3—84no—
1963C22×C3—84no—
1964C22×C3—88no—
1965C22×C3—88no—
1966C22×C3—88no—
1967C22×C3—88no—
1968C22×C3—84no—
1969C22×C3—88no—
1970C22×C3—84no—
1971C22×C3—168no—
1972C22×C3—162no—
1973C22×C3—164no—
1974C22×C3—162no—
1975C22×C3—1616no—
1976C22×C3—168no—
1977C22×C3—168no—
1978C22×C3—1616no—
1979C22×C3—1616no—
1980C22×C3—1664no—
1981C22×C3#1594711yescharacteristic
1982C22×C3#2389511yescharacteristic
1983C22×C3#2389611yescharacteristic
1984C22×C3#2390018yes—
1985C22×C3#2390012yes—
1986C22×C3#2390012yes—
1987C3×C4—416no—
1988C3×C4—48no—
1989C3×C4—82no—
1990C3×C4—168no—
1991C3×C4—168no—
1992C3×C4—161no—
1993C23—22no—
1994C23—22no—
1995C23—22no—
1996C23—22no—
1997C23—24no—
1998C23—21no—
1999C23—24no—
2000C23—21no—
2001C23—216no—
2002C23—22no—
2003C23—28no—
2004C23—28no—
2005C23—22no—
2006C23—28no—
2007C23—28no—
2008C23—216no—
2009C23—216no—
2010C23—232no—
2011C23—28no—
2012C23—216no—
2013C23—44no—
2014C23—48no—
2015C23—44no—
2016C23—44no—
2017C23—48no—
2018C23—44no—
2019C23—44no—
2020C23—44no—
2021C23—42no—
2022C23—44no—
2023C23—48no—
2024C23—44no—
2025C23—42no—
2026C23—44no—
2027C23—44no—
2028C23—48no—
2029C23—48no—
2030C23—416no—
2031C23—416no—
2032C23—48no—
2033C23—48no—
2034C23—48no—
2035C23—48no—
2036C23—48no—
2037C23—48no—
2038C23—48no—
2039C23—416no—
2040C23—416no—
2041C23—416no—
2042C23—48no—
2043C23—416no—
2044C23—416no—
2045C23—416no—
2046C23—48no—
2047C23—48no—
2048C23—48no—
2049C23—48no—
2050C23—464no—
2051C23—44no—
2052C23—48no—
2053C23—44no—
2054C23—44no—
2055C23—44no—
2056C23—416no—
2057C23—48no—
2058C23—48no—
2059C23—44no—
2060C23—44no—
2061C23—48no—
2062C23—88no—
2063C23—88no—
2064C23—88no—
2065C23—88no—
2066C23—84no—
2067C23—84no—
2068C23—88no—
2069C23—88no—
2070C23—88no—
2071C23—88no—
2072C23—88no—
2073C23—88no—
2074C23—88no—
2075C23—88no—
2076C23—88no—
2077C23—816no—
2078C23—88no—
2079C23—88no—
2080C23—88no—
2081C23—816no—
2082C23—84no—
2083C23—84no—
2084C23—84no—
2085C23—84no—
2086C23—816no—
2087C23—816no—
2088C23—816no—
2089C23—816no—
2090C23—84no—
2091C23—84no—
2092C23—88no—
2093C23—88no—
2094C23—84no—
2095C23—84no—
2096C23—164no—
2097C23—168no—
2098C23—168no—
2099C23—164no—
2100C23—164no—
2101C23—162no—
2102C23—162no—
2103C23—1616no—
2104C23—1616no—
2105C23—1632no—
2106C23—1664no—
2107C23—1632no—
2108C23—1664no—
2109C23—168no—
2110C23—168no—
2111C23—164no—
2112C23—168no—
2113C23—164no—
2114C23—168no—
2115C23—1616no—
2116C23—1616no—
2117C23—1664no—
2118C23—1664no—
2119C23—1616no—
2120C23—1616no—
2121C23—1616no—
2122C23—1616no—
2123C23C3×#240314yes—
2124C23C3×#240314yes—
2125C23C3×#240311yescharacteristic
2126C23C3×#267912yes—
2127C23C3×#267914yes—
2128C23C2×C3×B(4,𝔽2)14yes—
2129C23C2×C3×B(4,𝔽2)14yes—
2130Q8—464no—
2131D4—464no—
2132D4—464no—
2133D4—464no—
2134D4—464no—
2135D4—464no—
2136D4—4128no—
2137D4—464no—
2138D4—464no—
2139D4—832no—
2140D4—1664no—
2141D4—1664no—
2142C2×C4—216no—
2143C2×C4—232no—
2144C2×C4—28no—
2145C2×C4—216no—
2146C2×C4—48no—
2147C2×C4—48no—
2148C2×C4—48no—
2149C2×C4—48no—
2150C2×C4—48no—
2151C2×C4—416no—
2152C2×C4—48no—
2153C2×C4—48no—
2154C2×C4—416no—
2155C2×C4—416no—
2156C2×C4—464no—
2157C2×C4—4128no—
2158C2×C4—44no—
2159C2×C4—48no—
2160C2×C4—48no—
2161C2×C4—44no—
2162C2×C4—48no—
2163C2×C4—48no—
2164C2×C4—48no—
2165C2×C4—42no—
2166C2×C4—84no—
2167C2×C4—82no—
2168C2×C4—82no—
2169C2×C4—82no—
2170C2×C4—816no—
2171C2×C4—88no—
2172C2×C4—88no—
2173C2×C4—88no—
2174C2×C4—88no—
2175C2×C4—88no—
2176C2×C4—88no—
2177C2×C4—88no—
2178C2×C4—88no—
2179C2×C4—81no—
2180C2×C4—88no—
2181C2×C4—82no—
2182C2×C4—168no—
2183C2×C4—164no—
2184C2×C4—164no—
2185C2×C4—162no—
2186C2×C3—28no—
2187C2×C3—44no—
2188C2×C3—42no—
2189C2×C3—44no—
2190C2×C3—816no—
2191C2×C3—88no—
2192C2×C3#24522511yescharacteristic
2193C2×C3#24522912yes—
2194C2×C3#24523311yescharacteristic
2195C2×C3#44946911yescharacteristic
2196C2×C3#44947512yes—
2197C22—24no—
2198C22—24no—
2199C22—24no—
2200C22—24no—
2201C22—24no—
2202C22—24no—
2203C22—24no—
2204C22—22no—
2205C22—24no—
2206C22—28no—
2207C22—24no—
2208C22—28no—
2209C22—416no—
2210C22—432no—
2211C22—48no—
2212C22—42no—
2213C22—41no—
2214C22—44no—
2215C22—41no—
2216C22—44no—
2217C22—48no—
2218C22—48no—
2219C22—48no—
2220C22—416no—
2221C22—88no—
2222C22—816no—
2223C22—88no—
2224C22—816no—
2225C22—816no—
2226C22—816no—
2227C22—816no—
2228C22—816no—
2229C22—816no—
2230C22—832no—
2231C22—88no—
2232C22—88no—
2233C22—84no—
2234C22—88no—
2235C22—88no—
2236C22—84no—
2237C22—84no—
2238C22—88no—
2239C22—88no—
2240C22—84no—
2241C22—168no—
2242C22—162no—
2243C22—164no—
2244C22—162no—
2245C22—1616no—
2246C22—168no—
2247C22—168no—
2248C22—1616no—
2249C22—1616no—
2250C22—1664no—
2251C22C3×#1594711yescharacteristic
2252C22C3×#2389511yescharacteristic
2253C22C3×#2389611yescharacteristic
2254C22C3×#2390018yes—
2255C22C3×#2390012yes—
2256C22C3×#2390012yes—
2257C4—416no—
2258C4—48no—
2259C4—82no—
2260C4—168no—
2261C4—168no—
2262C4—161no—
2263C3#7221916511yescharacteristic, direct product factor, Sylow
2264C2—28no—
2265C2—44no—
2266C2—42no—
2267C2—44no—
2268C2—816no—
2269C2—88no—
2270C2C3×#24522511yescharacteristic
2271C2C3×#44946911yescharacteristic
2272C2C3×#44947512yes—
2273C2C3×#24523311yescharacteristic
2274C2C3×#24522912yes—
subgroupG/H
center, socleC23×C3#2403
commutator, Frattini, cosocleC26C24×C3
LCSG ▷ C26 ▷ C22 ▷ C1
UCSC1 ◁ C23×C3 ◁ C26×C3 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×#111516C2semidirect
2. C3×#111458C2semidirect
3. C3×#115133C2semidirect
4. C3×#4928938C2semidirect
5. C2×C3×#32898C2semidirect
6. #72219165C3direct (N × H)
7. C23×C3×H(5,𝔽2)C22semidirect
16. C2×C3×#1781C22semidirect
17. C2×C3×#1781C22semidirect
20. C3×#14335C22semidirect
23. C3×#13867C22semidirect
24. C3×#10725C22semidirect
25. C2×C3×#1304C22semidirect
26. C2×#32898C2×C3semidirect
27. #4928938C2×C3semidirect
28. #115133C2×C3semidirect
29. #111516C2×C3semidirect
30. #111458C2×C3semidirect
41. C24×C3×D4D4semidirect
47. C22×C3×#120D4semidirect
48. C23×C3×C22⋊C4D4semidirect
61. C3×#2403D4semidirect
75. C2×C3×#386D4semidirect
82. C22×C3×#95D4semidirect
97. C23×H(5,𝔽2)C22×C3semidirect
106. C2×#1781C22×C3semidirect
107. C2×#1781C22×C3semidirect
110. #14335C22×C3semidirect
113. #13867C22×C3semidirect
114. #10725C22×C3semidirect
115. C2×#1304C22×C3semidirect
284. C24×D4C3×D4semidirect
290. C22×#120C3×D4semidirect
291. C23×C22⋊C4C3×D4semidirect
304. #2403C3×D4semidirect
318. C2×#386C3×D4semidirect
325. C22×#95C3×D4semidirect
373. C25×C3#120semidirect
578. C23×C3×C4#120semidirect
906. C24×C3B(4,𝔽2)semidirect
1098. C22×C3×C4B(4,𝔽2)semidirect
1149. C25C3×#120semidirect
1354. C23×C4C3×#120semidirect
1717. C24C3×B(4,𝔽2)semidirect
1909. C22×C4C3×B(4,𝔽2)semidirect
2263. C3#72219165direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#1115162
C3×#1114582
C3×#1151332
C3×#49289382
C2×C3×#328982
#722191653