Finite Group Databasebeta

← C2×C3×#2392 #10653146

Subgroups — C2×C3×#2392 #10653146

Order 768.

4134 conjugacy classes of subgroups.

The subgroup lattice has 596 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C4×D4C211yesmaximal, characteristic, complemented
2C22×C3×C4×D4C212yesmaximal, complemented
3C22×C3×#117C211yesmaximal, characteristic, complemented
4C3×#2392C2116yesmaximal, direct product factor
5C2×C3×#398C211yesmaximal, characteristic, complemented
6C2×C3×#397C211yesmaximal, characteristic, complemented
7C2×C3×#396C212yesmaximal, complemented
8C2×C3×#394C211yesmaximal, characteristic, complemented
9C2×C3×#394C212yesmaximal, complemented
10C2×C3×#392C211yesmaximal, characteristic
11C2×C3×C4×C4⋊C4C211yesmaximal, characteristic, complemented
12C2×C3×C4×C22⋊C4C212yesmaximal, complemented
13C2×#2392C311yesmaximal, characteristic, direct product factor, Sylow
14C23×C3×D4C2212yes—
15C23×C3×D4C2211yescharacteristic
16C24×C3×C4C2212yes—
17C24×C3×C4C2211yescharacteristic
18C2×C3×C4×D4—216no—
19C2×C3×C4×D4—28no—
20C2×C3×C4×D4C22116yescomplemented
21C2×C3×C4×D4C2218yescomplemented
22C2×C3×#117—28no—
23C2×C3×#117C2218yescomplemented
24C22×C3×C4⋊C4C2211yescharacteristic
25C22×C3×C4⋊C4C2211yescharacteristic
26C22×C3×C4⋊C4C2212yes—
27C22×C3×C4⋊C4C2211yescharacteristic
28C22×C3×C4⋊C4C2212yes—
29C22×C3×C22⋊C4C2211yescharacteristic
30C22×C3×C22⋊C4C2211yescharacteristic
31C22×C3×C22⋊C4C2212yes—
32C22×C3×C22⋊C4C2212yes—
33C22×C3×C22⋊C4C2212yes—
34C22×C3×C22⋊C4C2212yes—
35C22×C3×C22⋊C4C2212yes—
36C22×C3×C42C2211yescharacteristic
37C22×C3×C42C2212yes—
38C22×C3×C42C2211yescharacteristic
39C3×#398C2218yescomplemented
40C3×#397C2218yescomplemented
41C3×#396C22116yescomplemented
42C3×#394C22116yescomplemented
43C3×#394C2218yescomplemented
44C3×#392C2218yes—
45C3×C4×C4⋊C4C2218yescomplemented
46C3×C4×C22⋊C4C22116yescomplemented
47C2×C3×#95C2211yescharacteristic
48C2×C3×#95C2211yescharacteristic
49C2×C3×#95C2212yes—
50C2×C3×#95C2212yes—
51C22×C4×D4C2×C311yescharacteristic, complemented
52C22×C4×D4C2×C312yescomplemented
53C22×#117C2×C311yescharacteristic, complemented
54#2392C2×C3116yesdirect product factor
55C2×#398C2×C311yescharacteristic, complemented
56C2×#397C2×C311yescharacteristic, complemented
57C2×#396C2×C312yescomplemented
58C2×#394C2×C312yescomplemented
59C2×#394C2×C311yescharacteristic, complemented
60C2×#392C2×C311yescharacteristic
61C2×C4×C4⋊C4C2×C311yescharacteristic, complemented
62C2×C4×C22⋊C4C2×C312yescomplemented
63C25×C3C2311yescharacteristic
64C25×C3C2312yes—
65C22×C3×D4—28no—
66C22×C3×D4—28no—
67C22×C3×D4—28no—
68C22×C3×D4—24no—
69C22×C3×D4—28no—
70C22×C3×D4C2314yes—
71C22×C3×D4C2318yes—
72C23×C3×C4—24no—
73C23×C3×C4—24no—
74C23×C3×C4—28no—
75C23×C3×C4—28no—
76C23×C3×C4—28no—
77C23×C3×C4D418yescomplemented
78C23×C3×C4C2312yes—
79C23×C3×C4C2318yes—
80C23×C3×C4C2312yes—
81C23×C3×C4C2311yescharacteristic
82C23×C3×C4C2311yescharacteristic
83C23×C3×C4C2311yescharacteristic
84C23×C3×C4C2311yescharacteristic
85C23×C3×C4C2311yescharacteristic
86C23×C3×C4C2314yes—
87C23×C3×C4C2312yes—
88C23×C3×C4C2311yescharacteristic
89C3×C4×D4—264no—
90C3×C4×D4—232no—
91C3×#117—232no—
92C2×C3×C4⋊C4—24no—
93C2×C3×C4⋊C4—24no—
94C2×C3×C4⋊C4—28no—
95C2×C3×C4⋊C4—24no—
96C2×C3×C4⋊C4—28no—
97C2×C3×C4⋊C4C2318yes—
98C2×C3×C4⋊C4C2314yes—
99C2×C3×C4⋊C4C2314yes—
100C2×C3×C4⋊C4C2318yes—
101C2×C3×C4⋊C4C2314yes—
102C2×C3×C22⋊C4—28no—
103C2×C3×C22⋊C4—28no—
104C2×C3×C22⋊C4—24no—
105C2×C3×C22⋊C4—24no—
106C2×C3×C22⋊C4—28no—
107C2×C3×C22⋊C4—28no—
108C2×C3×C22⋊C4—28no—
109C2×C3×C22⋊C4C2318yes—
110C2×C3×C22⋊C4C2318yes—
111C2×C3×C22⋊C4C2314yes—
112C2×C3×C22⋊C4C2314yes—
113C2×C3×C22⋊C4C2318yes—
114C2×C3×C22⋊C4C2318yes—
115C2×C3×C22⋊C4C2318yes—
116C2×C3×C42—24no—
117C2×C3×C42—28no—
118C2×C3×C42D418yescomplemented
119C2×C3×C42C2314yes—
120C2×C3×C42C2318yes—
121C2×C3×C42C2314yes—
122C3×#95C2318yes—
123C3×#95C2318yes—
124C3×#95C2314yes—
125C3×#95C2314yes—
126C23×D4C22×C311yescharacteristic
127C23×D4C22×C312yes—
128C24×C4C22×C312yes—
129C24×C4C22×C311yescharacteristic
130C2×C4×D4—216no—
131C2×C4×D4—28no—
132C2×C4×D4C22×C3116yescomplemented
133C2×C4×D4C22×C318yescomplemented
134C2×#117—28no—
135C2×#117C22×C318yescomplemented
136C22×C4⋊C4C22×C312yes—
137C22×C4⋊C4C22×C311yescharacteristic
138C22×C4⋊C4C22×C311yescharacteristic
139C22×C4⋊C4C22×C312yes—
140C22×C4⋊C4C22×C311yescharacteristic
141C22×C22⋊C4C22×C312yes—
142C22×C22⋊C4C22×C311yescharacteristic
143C22×C22⋊C4C22×C311yescharacteristic
144C22×C22⋊C4C22×C312yes—
145C22×C22⋊C4C22×C312yes—
146C22×C22⋊C4C22×C312yes—
147C22×C22⋊C4C22×C312yes—
148C22×C42C22×C311yescharacteristic
149C22×C42C22×C312yes—
150C22×C42C22×C311yescharacteristic
151#398C22×C318yescomplemented
152#397C22×C318yescomplemented
153#396C22×C3116yescomplemented
154#394C22×C3116yescomplemented
155#394C22×C318yescomplemented
156#392C22×C318yes—
157C4×C4⋊C4C22×C318yescomplemented
158C4×C22⋊C4C22×C3116yescomplemented
159C2×#95C22×C311yescharacteristic
160C2×#95C22×C311yescharacteristic
161C2×#95C22×C312yes—
162C2×#95C22×C312yes—
163C24×C3—22no—
164C24×C3—24no—
165C24×C3—24no—
166C24×C3—24no—
167C24×C3—22no—
168C24×C3—24no—
169C24×C3—24no—
170C24×C3—24no—
171C24×C3—24no—
172C24×C3—24no—
173C24×C3C2×D414yes—
174C24×C3#4118yes—
175C24×C3C2412yes—
176C24×C3C2414yes—
177C24×C3C2411yescharacteristic
178C2×C3×D4—232no—
179C2×C3×D4—264no—
180C2×C3×D4—216no—
181C2×C3×D4—216no—
182C2×C3×D4—216no—
183C2×C3×D4—28no—
184C2×C3×D4—216no—
185C22×C3×C4—24no—
186C22×C3×C4—22no—
187C22×C3×C4—24no—
188C22×C3×C4—22no—
189C22×C3×C4—24no—
190C22×C3×C4—24no—
191C22×C3×C4—232no—
192C22×C3×C4—28no—
193C22×C3×C4—28no—
194C22×C3×C4—24no—
195C22×C3×C4—22no—
196C22×C3×C4—22no—
197C22×C3×C4—24no—
198C22×C3×C4—24no—
199C22×C3×C4—24no—
200C22×C3×C4—24no—
201C22×C3×C4—24no—
202C22×C3×C4—24no—
203C22×C3×C4—24no—
204C22×C3×C4—216no—
205C22×C3×C4—216no—
206C22×C3×C4—216no—
207C22×C3×C4—432no—
208C22×C3×C4C2×D414yes—
209C22×C3×C4C2×D414yes—
210C22×C3×C4C2×D414yes—
211C22×C3×C4C2×D414yes—
212C22×C3×C4C2×D414yes—
213C22×C3×C4C2×D4116yescomplemented
214C22×C3×C4#4118yes—
215C22×C3×C4#4114yes—
216C22×C3×C4C2414yes—
217C22×C3×C4C2412yes—
218C22×C3×C4C2412yes—
219C22×C3×C4C2414yes—
220C22×C3×C4C2412yes—
221C22×C3×C4C2412yes—
222C22×C3×C4C2412yes—
223C22×C3×C4C2414yes—
224C22×C3×C4C2412yes—
225C3×C4⋊C4—28no—
226C3×C4⋊C4—28no—
227C3×C4⋊C4—216no—
228C3×C4⋊C4—28no—
229C3×C4⋊C4—216no—
230C3×C22⋊C4—216no—
231C3×C22⋊C4—216no—
232C3×C22⋊C4—28no—
233C3×C22⋊C4—28no—
234C3×C22⋊C4—216no—
235C3×C22⋊C4—216no—
236C3×C22⋊C4—216no—
237C3×C42—28no—
238C3×C42—216no—
239C3×C42C2×D4116yescomplemented
240C25C23×C311yescharacteristic
241C25C23×C312yes—
242C22×D4—28no—
243C22×D4—28no—
244C22×D4—28no—
245C22×D4—24no—
246C22×D4—28no—
247C22×D4C23×C314yes—
248C22×D4C23×C318yes—
249C23×C4—24no—
250C23×C4—24no—
251C23×C4—28no—
252C23×C4—28no—
253C23×C4—28no—
254C23×C4C3×D418yescomplemented
255C23×C4C23×C312yes—
256C23×C4C23×C311yescharacteristic
257C23×C4C23×C311yescharacteristic
258C23×C4C23×C312yes—
259C23×C4C23×C318yes—
260C23×C4C23×C311yescharacteristic
261C23×C4C23×C311yescharacteristic
262C23×C4C23×C311yescharacteristic
263C23×C4C23×C314yes—
264C23×C4C23×C312yes—
265C23×C4C23×C311yescharacteristic
266C4×D4—264no—
267C4×D4—232no—
268#117—232no—
269C2×C4⋊C4—24no—
270C2×C4⋊C4—24no—
271C2×C4⋊C4—28no—
272C2×C4⋊C4—24no—
273C2×C4⋊C4—28no—
274C2×C4⋊C4C23×C314yes—
275C2×C4⋊C4C23×C314yes—
276C2×C4⋊C4C23×C318yes—
277C2×C4⋊C4C23×C314yes—
278C2×C4⋊C4C23×C318yes—
279C2×C22⋊C4—28no—
280C2×C22⋊C4—28no—
281C2×C22⋊C4—24no—
282C2×C22⋊C4—24no—
283C2×C22⋊C4—28no—
284C2×C22⋊C4—28no—
285C2×C22⋊C4—28no—
286C2×C22⋊C4C23×C314yes—
287C2×C22⋊C4C23×C314yes—
288C2×C22⋊C4C23×C318yes—
289C2×C22⋊C4C23×C318yes—
290C2×C22⋊C4C23×C318yes—
291C2×C22⋊C4C23×C318yes—
292C2×C22⋊C4C23×C318yes—
293C2×C42—24no—
294C2×C42—28no—
295C2×C42C3×D418yescomplemented
296C2×C42C23×C314yes—
297C2×C42C23×C318yes—
298C2×C42C23×C314yes—
299#95C23×C318yes—
300#95C23×C318yes—
301#95C23×C314yes—
302#95C23×C314yes—
303C23×C3—28no—
304C23×C3—216no—
305C23×C3—216no—
306C23×C3—216no—
307C23×C3—216no—
308C23×C3—22no—
309C23×C3—24no—
310C23×C3—24no—
311C23×C3—24no—
312C23×C3—22no—
313C23×C3—24no—
314C23×C3—24no—
315C23×C3—24no—
316C23×C3—24no—
317C23×C3—24no—
318C23×C3—48no—
319C23×C3—44no—
320C23×C3—48no—
321C23×C3—48no—
322C23×C3—48no—
323C23×C3—44no—
324C23×C3—48no—
325C23×C3C22×D414yes—
326C23×C3C22×D412yes—
327C23×C3C22×D412yes—
328C23×C3C2×#4118yes—
329C23×C3C2×#4112yes—
330C23×C3C2×#4114yes—
331C23×C3C2×#4114yes—
332C23×C3C2511yescharacteristic
333C3×D4—232no—
334C3×D4—264no—
335C2×C3×C4—28no—
336C2×C3×C4—28no—
337C2×C3×C4—216no—
338C2×C3×C4—28no—
339C2×C3×C4—24no—
340C2×C3×C4—22no—
341C2×C3×C4—24no—
342C2×C3×C4—22no—
343C2×C3×C4—24no—
344C2×C3×C4—24no—
345C2×C3×C4—232no—
346C2×C3×C4—24no—
347C2×C3×C4—22no—
348C2×C3×C4—22no—
349C2×C3×C4—24no—
350C2×C3×C4—24no—
351C2×C3×C4—24no—
352C2×C3×C4—24no—
353C2×C3×C4—24no—
354C2×C3×C4—24no—
355C2×C3×C4—24no—
356C2×C3×C4—48no—
357C2×C3×C4—48no—
358C2×C3×C4—44no—
359C2×C3×C4—44no—
360C2×C3×C4—432no—
361C2×C3×C4#121116yes—
362C2×C3×C4C22×D414yes—
363C2×C3×C4C22×D414yes—
364C2×C3×C4C22×D414yes—
365C2×C3×C4C22×D414yes—
366C2×C3×C4C22×D414yes—
367C2×C3×C4C2×#4118yes—
368C2×C3×C4C2×#4114yes—
369C24—22no—
370C24—24no—
371C24—24no—
372C24—24no—
373C24—22no—
374C24—24no—
375C24—24no—
376C24—24no—
377C24—24no—
378C24—24no—
379C24C2×C3×D414yes—
380C24C3×#4118yes—
381C24C24×C312yes—
382C24C24×C314yes—
383C24C24×C311yescharacteristic
384C2×D4—232no—
385C2×D4—264no—
386C2×D4—216no—
387C2×D4—216no—
388C2×D4—216no—
389C2×D4—28no—
390C2×D4—216no—
391C22×C4—24no—
392C22×C4—22no—
393C22×C4—24no—
394C22×C4—22no—
395C22×C4—24no—
396C22×C4—24no—
397C22×C4—232no—
398C22×C4—28no—
399C22×C4—28no—
400C22×C4—24no—
401C22×C4—22no—
402C22×C4—22no—
403C22×C4—24no—
404C22×C4—24no—
405C22×C4—24no—
406C22×C4—24no—
407C22×C4—24no—
408C22×C4—24no—
409C22×C4—24no—
410C22×C4—216no—
411C22×C4—216no—
412C22×C4—216no—
413C22×C4—432no—
414C22×C4C2×C3×D414yes—
415C22×C4C2×C3×D414yes—
416C22×C4C2×C3×D414yes—
417C22×C4C2×C3×D414yes—
418C22×C4C2×C3×D414yes—
419C22×C4C2×C3×D4116yescomplemented
420C22×C4C3×#4118yes—
421C22×C4C3×#4114yes—
422C22×C4C24×C314yes—
423C22×C4C24×C312yes—
424C22×C4C24×C312yes—
425C22×C4C24×C314yes—
426C22×C4C24×C312yes—
427C22×C4C24×C312yes—
428C22×C4C24×C312yes—
429C22×C4C24×C314yes—
430C22×C4C24×C312yes—
431C4⋊C4—28no—
432C4⋊C4—28no—
433C4⋊C4—216no—
434C4⋊C4—28no—
435C4⋊C4—216no—
436C22⋊C4—216no—
437C22⋊C4—216no—
438C22⋊C4—28no—
439C22⋊C4—28no—
440C22⋊C4—216no—
441C22⋊C4—216no—
442C22⋊C4—216no—
443C42—28no—
444C42—216no—
445C42C2×C3×D4116yescomplemented
446C22×C3—24no—
447C22×C3—28no—
448C22×C3—28no—
449C22×C3—28no—
450C22×C3—28no—
451C22×C3—416no—
452C22×C3—432no—
453C22×C3—44no—
454C22×C3—42no—
455C22×C3—44no—
456C22×C3—44no—
457C22×C3—44no—
458C22×C3—42no—
459C22×C3—44no—
460C22×C3C2×#12114yes—
461C22×C3#52514yes—
462C22×C3#52518yes—
463C22×C3#52918yes—
464C22×C3#53214yes—
465C22×C3C23×D411yescharacteristic
466C22×C3C23×D411yescharacteristic
467C22×C3C22×#4111yescharacteristic
468C22×C3C22×#4112yes—
469C22×C3C22×#4112yes—
470C3×C4—24no—
471C3×C4—24no—
472C3×C4—28no—
473C3×C4—24no—
474C3×C4—44no—
475C3×C4—44no—
476C3×C4—42no—
477C3×C4—42no—
478C3×C4C2×#12118yes—
479C23—22no—
480C23—24no—
481C23—24no—
482C23—24no—
483C23—22no—
484C23—24no—
485C23—24no—
486C23—24no—
487C23—24no—
488C23—24no—
489C23—28no—
490C23—216no—
491C23—216no—
492C23—216no—
493C23—216no—
494C23—48no—
495C23—44no—
496C23—48no—
497C23—48no—
498C23—48no—
499C23—44no—
500C23—48no—
501C23C22×C3×D414yes—
502C23C22×C3×D412yes—
503C23C22×C3×D412yes—
504C23C2×C3×#4118yes—
505C23C2×C3×#4112yes—
506C23C2×C3×#4114yes—
507C23C2×C3×#4114yes—
508C23C25×C311yescharacteristic
509D4—232no—
510D4—264no—
511C2×C4—24no—
512C2×C4—22no—
513C2×C4—24no—
514C2×C4—22no—
515C2×C4—24no—
516C2×C4—24no—
517C2×C4—28no—
518C2×C4—28no—
519C2×C4—216no—
520C2×C4—28no—
521C2×C4—232no—
522C2×C4—24no—
523C2×C4—22no—
524C2×C4—22no—
525C2×C4—24no—
526C2×C4—24no—
527C2×C4—24no—
528C2×C4—24no—
529C2×C4—24no—
530C2×C4—24no—
531C2×C4—24no—
532C2×C4—48no—
533C2×C4—48no—
534C2×C4—44no—
535C2×C4—44no—
536C2×C4—432no—
537C2×C4C3×#121116yes—
538C2×C4C22×C3×D414yes—
539C2×C4C22×C3×D414yes—
540C2×C4C22×C3×D414yes—
541C2×C4C22×C3×D414yes—
542C2×C4C22×C3×D414yes—
543C2×C4C2×C3×#4118yes—
544C2×C4C2×C3×#4114yes—
545C2×C3—44no—
546C2×C3—48no—
547C2×C3#239218yesdirect product factor
548C2×C3C22×#12111yescharacteristic
549C2×C3C2×#52511yescharacteristic
550C2×C3C2×#52512yes—
551C2×C3C2×#52912yes—
552C2×C3C2×#53211yescharacteristic
553C22—24no—
554C22—28no—
555C22—28no—
556C22—28no—
557C22—28no—
558C22—44no—
559C22—42no—
560C22—44no—
561C22—44no—
562C22—44no—
563C22—42no—
564C22—44no—
565C22—416no—
566C22—432no—
567C22C2×C3×#12114yes—
568C22C3×#52514yes—
569C22C3×#52518yes—
570C22C3×#52918yes—
571C22C3×#53214yes—
572C22C23×C3×D411yescharacteristic
573C22C23×C3×D411yescharacteristic
574C22C22×C3×#4111yescharacteristic
575C22C22×C3×#4112yes—
576C22C22×C3×#4112yes—
577C4—24no—
578C4—24no—
579C4—28no—
580C4—24no—
581C4—44no—
582C4—44no—
583C4—42no—
584C4—42no—
585C4C2×C3×#12118yes—
586C3C2×#239211yescharacteristic, direct product factor, Sylow
587C2—44no—
588C2—48no—
589C2C3×#239218yesdirect product factor
590C2C22×C3×#12111yescharacteristic
591C2C2×C3×#52511yescharacteristic
592C2C2×C3×#52512yes—
593C2C2×C3×#52912yes—
594C2C2×C3×#53211yescharacteristic
subgroupG/H
centerC23×C3×C4C23
commutator, Frattini, cosocleC23C25×C3
socleC24×C3C24
prime radicalC2×C3×#392C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C3×C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C22×C3×C4×D4C2semidirect
2. C22×C3×C4×D4C2semidirect
3. C22×C3×#117C2semidirect
4. C3×#2392C2direct (N × H)
5. C2×C3×#398C2semidirect
6. C2×C3×#397C2semidirect
7. C2×C3×#396C2semidirect
8. C2×C3×#394C2semidirect
9. C2×C3×#394C2semidirect
11. C2×C3×C4×C4⋊C4C2semidirect
12. C2×C3×C4×C22⋊C4C2semidirect
13. C2×#2392C3direct (N × H)
20. C2×C3×C4×D4C22semidirect
21. C2×C3×C4×D4C22semidirect
23. C2×C3×#117C22semidirect
39. C3×#398C22semidirect
40. C3×#397C22semidirect
41. C3×#396C22semidirect
42. C3×#394C22semidirect
43. C3×#394C22semidirect
45. C3×C4×C4⋊C4C22semidirect
46. C3×C4×C22⋊C4C22semidirect
51. C22×C4×D4C2×C3semidirect
52. C22×C4×D4C2×C3semidirect
53. C22×#117C2×C3semidirect
54. #2392C2×C3direct (N × H)
55. C2×#398C2×C3semidirect
56. C2×#397C2×C3semidirect
57. C2×#396C2×C3semidirect
58. C2×#394C2×C3semidirect
59. C2×#394C2×C3semidirect
61. C2×C4×C4⋊C4C2×C3semidirect
62. C2×C4×C22⋊C4C2×C3semidirect
77. C23×C3×C4D4semidirect
118. C2×C3×C42D4semidirect
132. C2×C4×D4C22×C3semidirect
133. C2×C4×D4C22×C3semidirect
135. C2×#117C22×C3semidirect
151. #398C22×C3semidirect
152. #397C22×C3semidirect
153. #396C22×C3semidirect
154. #394C22×C3semidirect
155. #394C22×C3semidirect
157. C4×C4⋊C4C22×C3semidirect
158. C4×C22⋊C4C22×C3semidirect
213. C22×C3×C4C2×D4semidirect
239. C3×C42C2×D4semidirect
254. C23×C4C3×D4semidirect
295. C2×C42C3×D4semidirect
419. C22×C4C2×C3×D4semidirect
445. C42C2×C3×D4semidirect
547. C2×C3#2392direct (N × H)
586. C3C2×#2392direct (N × H)
589. C2C3×#2392direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×C4×D42
C22×C3×#1172
C3×#23922
C2×C3×#3982
C2×C3×#3972
C2×C3×#3962
C2×C3×#3942
C2×C3×#3922
C2×C3×C4×C4⋊C42
C2×C3×C4×C22⋊C42
C2×#23923