Finite Group Databasebeta

← C3×C4×#3714 #13157359

Subgroups — C3×C4×#3714 #13157359

Order 1728.

798 conjugacy classes of subgroups.

The subgroup lattice has 606 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C4×C4⋊(C3⋊D3)C211yesmaximal, characteristic, complemented
2C32×C4×D12C211yesmaximal, characteristic, complemented
3C2×C3×#3714C211yesmaximal, characteristic
4C32×C4×C3⋊C8C211yesmaximal, characteristic, complemented
5C3×#63575C211yesmaximal, characteristic, complemented
6C3×#63564C211yesmaximal, characteristic, complemented
7C3×#63563C211yesmaximal, characteristic, complemented
8C3×C4×#213—31nomaximal
9C3×C4×D24—31nomaximal
10C4×#3714C311yesmaximal, characteristic, direct product factor
11C2×C3×C4⋊(C3⋊D3)C2211yescharacteristic
12C2×C3×C4×C3⋊D3—21no—
13C2×C32×D12C2211yescharacteristic
14C2×C32×C4×D3—21no—
15C33×C42C2211yescharacteristic
16C3×#3752—21no—
17C3×C4⋊(C3⋊Dic3)C2211yescharacteristic
18C32×(C2×D3)⋊C4—21no—
19C32×C4⋊Dic3C2211yescharacteristic
20C2×C32×C3⋊C8C2211yescharacteristic
21C2×C32×C3⋊C8C2211yescharacteristic
22C3×#3714C414yesdirect product factor
23C32×C4×D4—31no—
24C4×C4⋊(C3⋊D3)C2×C311yescharacteristic, complemented
25C2×C3×#213—31no—
26C2×C3×D24—31no—
27C3×C4×D12—21no—
28C3×C4×D12—31no—
29C3×C4×D12—31no—
30C3×C4×D12—61no—
31C3×C4×D12D311yescharacteristic, complemented
32C3×C4×D12C2×C311yescharacteristic, complemented
33C2×#3714C2×C311yescharacteristic
34C32×C4×C8—31no—
35C3×#832—31no—
36C3×#821—31no—
37C3×#821—31no—
38C3×#818—31no—
39C3×#809—31no—
40C3×#807—31no—
41C3×C4×C3⋊C8—21no—
42C3×C4×C3⋊C8D311yescharacteristic, complemented
43C3×C4×C3⋊C8C2×C311yescharacteristic, complemented
44#63575C2×C311yescharacteristic, complemented
45#63564C2×C311yescharacteristic, complemented
46#63563C2×C311yescharacteristic, complemented
47C22×C3×C3⋊D3—21no—
48C22×C32×D3—21no—
49C2×C33×C4D411yescharacteristic
50C2×C33×C4D411yescharacteristic
51C2×C33×C4C2311yescharacteristic
52C2×C3×C3⋊Dic3—21no—
53C3×C4⋊(C3⋊D3)—21no—
54C3×C4⋊(C3⋊D3)C2×C412yescomplemented
55C3×C4×C3⋊D3—42no—
56C2×C32×Dic3—21no—
57C32×D12—21no—
58C32×D12C2×C412yescomplemented
59C32×C4×D3—42no—
60C32×C3⋊C8—21no—
61C32×C3⋊C8C2×C412yescomplemented
62C3×C4×D8—91no—
63C4×#213—31no—
64C4×D24—31no—
65C2×C32×D4—31no—
66C22×C32×C4—61no—
67C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
68C2×C4×C3⋊D3—21no—
69C2×C3×D12—21no—
70C2×C3×D12—31no—
71C2×C3×D12—31no—
72C2×C3×D12—61no—
73C2×C3×D12C2×D311yescharacteristic
74C2×C3×D12C22×C311yescharacteristic
75C2×C3×C4×D3—22no—
76C2×C3×C4×D3—21no—
77C2×C3×C4×D3—21no—
78C2×C3×C4×D3—62no—
79C2×C3×C4×D3—61no—
80C2×C3×C4×D3—61no—
81C2×C32×C8—31no—
82C2×C32×C8—31no—
83C32×C4⋊C4—31no—
84C32×C22⋊C4—61no—
85C32×C42—21no—
86C32×C42—21no—
87C32×C42—21no—
88C32×C42—41no—
89C32×C42C2×D311yescharacteristic
90C32×C42C2×D311yescharacteristic
91C32×C42C22×C311yescharacteristic
92#3752—21no—
93C4⋊(C3⋊Dic3)C22×C311yescharacteristic
94C3×#213—34no—
95C3×(C2×D3)⋊C4—22no—
96C3×(C2×D3)⋊C4—21no—
97C3×(C2×D3)⋊C4—21no—
98C3×(C2×D3)⋊C4—62no—
99C3×(C2×D3)⋊C4—61no—
100C3×(C2×D3)⋊C4—61no—
101C3×C4⋊Dic3—21no—
102C3×C4⋊Dic3—31no—
103C3×C4⋊Dic3—31no—
104C3×C4⋊Dic3—61no—
105C3×C4⋊Dic3C2×D311yescharacteristic
106C3×C4⋊Dic3C22×C311yescharacteristic
107C2×C3×C3⋊C8—21no—
108C2×C3×C3⋊C8—21no—
109C2×C3×C3⋊C8C2×D311yescharacteristic
110C2×C3×C3⋊C8C2×D311yescharacteristic
111C2×C3×C3⋊C8C22×C311yescharacteristic
112C2×C3×C3⋊C8C22×C311yescharacteristic
113C3×D24—34no—
114#3714C3×C414yesdirect product factor
115C22×C33C2×D411yescharacteristic
116C2×C3×C3⋊D3—22no—
117C2×C3×C3⋊D3—41no—
118C2×C3×C3⋊D3—41no—
119C2×C32×D3—22no—
120C2×C32×D3—41no—
121C2×C32×D3—41no—
122C33×C4—21no—
123C33×C4D812yescomplemented
124C33×C4C22×C411yescharacteristic
125C33×C4#4111yescharacteristic
126C3×C3⋊Dic3—41no—
127C32×Dic3—41no—
128C2×C3×D8—91no—
129C3×C4×D4—31no—
130C3×C4×D4—31no—
131C3×C4×D4—61no—
132C3×C4×D4—91no—
133C2×#213—31no—
134C2×D24—31no—
135C4×D12—31no—
136C4×D12—31no—
137C4×D12—61no—
138C4×D12C3×D311yescharacteristic, complemented
139C3×#107—91no—
140C3×#102—91no—
141C3×#102—91no—
142C3×C4×C8—31no—
143C3×C4×C8—31no—
144C3×C4×C8—61no—
145#832—31no—
146#821—31no—
147#821—31no—
148#818—31no—
149#809—31no—
150#807—31no—
151C4×C3⋊C8C3×D311yescharacteristic, complemented
152C23×C32—61no—
153C22×C3⋊D3—21no—
154C22×C3×D3—22no—
155C22×C3×D3—21no—
156C22×C3×D3—21no—
157C22×C3×D3—62no—
158C22×C3×D3—61no—
159C22×C3×D3—61no—
160C32×D4—32no—
161C32×D4—61no—
162C2×C32×C4—21no—
163C2×C32×C4—21no—
164C2×C32×C4—21no—
165C2×C32×C4—21no—
166C2×C32×C4—21no—
167C2×C32×C4—21no—
168C2×C32×C4—21no—
169C2×C32×C4—21no—
170C2×C32×C4—21no—
171C2×C32×C4—41no—
172C2×C32×C4—41no—
173C2×C32×C4—41no—
174C2×C32×C4—61no—
175C2×C32×C4—122no—
176C2×C32×C4D1211yescharacteristic
177C2×C32×C4D1211yescharacteristic
178C2×C32×C4#6711yescharacteristic
179C2×C32×C4#6711yescharacteristic
180C2×C32×C4C3×D411yescharacteristic
181C2×C32×C4C3×D411yescharacteristic
182C2×C32×C4C22×D311yescharacteristic
183C2×C32×C4C22×D311yescharacteristic
184C2×C32×C4C23×C311yescharacteristic
185C2×C3⋊Dic3—21no—
186C4⋊(C3⋊D3)—21no—
187C4⋊(C3⋊D3)C2×C3×C412yescomplemented
188C4×C3⋊D3—42no—
189C2×C3×Dic3—22no—
190C2×C3×Dic3—21no—
191C2×C3×Dic3—21no—
192C2×C3×Dic3—62no—
193C2×C3×Dic3—61no—
194C2×C3×Dic3—61no—
195C3×D12—22no—
196C3×D12—21no—
197C3×D12—21no—
198C3×D12—22no—
199C3×D12—32no—
200C3×D12—32no—
201C3×D12—62no—
202C3×D12—62no—
203C3×D12—61no—
204C3×D12—61no—
205C3×D12C4×D312yescomplemented
206C3×D12C2×C3×C412yescomplemented
207C3×C4×D3—44no—
208C3×C4×D3—42no—
209C3×C4×D3—42no—
210C3×C4×D3—124no—
211C3×C4×D3—122no—
212C3×C4×D3—122no—
213C32×C8—32no—
214C32×C8—61no—
215C3×C3⋊C8—22no—
216C3×C3⋊C8—21no—
217C3×C3⋊C8—21no—
218C3×C3⋊C8—22no—
219C3×C3⋊C8C4×D312yescomplemented
220C3×C3⋊C8C2×C3×C412yescomplemented
221C4×D8—91noSylow
222C2×C33C4×D411yescharacteristic
223C2×C33C2×D811yescharacteristic
224C2×C33#13511yescharacteristic
225C3×C3⋊D3—42no—
226C32×D3—42no—
227C2×C3×D4—31no—
228C2×C3×D4—31no—
229C2×C3×D4—61no—
230C2×C3×D4—91no—
231C22×C3×C4—62no—
232C22×C3×C4—61no—
233C22×C3×C4—61no—
234C22×C3×C4—181no—
235C2×D12—31no—
236C2×D12—31no—
237C2×D12—61no—
238C2×D12C2×C3×D311yescharacteristic
239C2×C4×D3—21no—
240C2×C4×D3—62no—
241C2×C4×D3—61no—
242C2×C4×D3—61no—
243C3×D8—94no—
244C2×C3×C8—31no—
245C2×C3×C8—31no—
246C2×C3×C8—31no—
247C2×C3×C8—31no—
248C2×C3×C8—61no—
249C2×C3×C8—61no—
250C3×C4⋊C4—31no—
251C3×C4⋊C4—31no—
252C3×C4⋊C4—61no—
253C3×C4⋊C4—91no—
254C3×C22⋊C4—62no—
255C3×C22⋊C4—61no—
256C3×C22⋊C4—61no—
257C3×C22⋊C4—181no—
258C3×C42—21no—
259C3×C42—21no—
260C3×C42—21no—
261C3×C42—41no—
262C3×C42D3211yescharacteristic
263C3×C42C2×C3×D311yescharacteristic
264C3×C42C2×C3×D311yescharacteristic
265#213—34no—
266(C2×D3)⋊C4—21no—
267(C2×D3)⋊C4—62no—
268(C2×D3)⋊C4—61no—
269(C2×D3)⋊C4—61no—
270C4⋊Dic3—31no—
271C4⋊Dic3—31no—
272C4⋊Dic3—61no—
273C4⋊Dic3C2×C3×D311yescharacteristic
274C2×C3⋊C8C2×C3×D311yescharacteristic
275C2×C3⋊C8C2×C3×D311yescharacteristic
276D24—34no—
277C22×C32—21no—
278C22×C32—21no—
279C22×C32—21no—
280C22×C32—41no—
281C22×C32—62no—
282C22×C32—121no—
283C22×C32—121no—
284C22×C32C2×D1211yescharacteristic
285C22×C32C2×#6711yescharacteristic
286C22×C32C2×C3×D411yescharacteristic
287C2×C3⋊D3—22no—
288C2×C3⋊D3—41no—
289C2×C3⋊D3—41no—
290C2×C3×D3—24no—
291C2×C3×D3—22no—
292C2×C3×D3—22no—
293C2×C3×D3—42no—
294C2×C3×D3—42no—
295C2×C3×D3—41no—
296C2×C3×D3—41no—
297C2×C3×D3—41no—
298C2×C3×D3—41no—
299C2×C3×D3—64no—
300C2×C3×D3—62no—
301C2×C3×D3—62no—
302C2×C3×D3—122no—
303C2×C3×D3—122no—
304C2×C3×D3—121no—
305C2×C3×D3—121no—
306C2×C3×D3—121no—
307C2×C3×D3—121no—
308C32×C4—21no—
309C32×C4—22no—
310C32×C4—21no—
311C32×C4—21no—
312C32×C4—22no—
313C32×C4—22no—
314C32×C4—22no—
315C32×C4—21no—
316C32×C4—21no—
317C32×C4—21no—
318C32×C4—21no—
319C32×C4—21no—
320C32×C4—21no—
321C32×C4—42no—
322C32×C4—41no—
323C32×C4—41no—
324C32×C4—41no—
325C32×C4—41no—
326C32×C4—42no—
327C32×C4—121no—
328C32×C4D2412yescomplemented
329C32×C4#21312yescomplemented
330C32×C4C3×D812yescomplemented
331C32×C4C2×C4×D311yescharacteristic
332C32×C4C2×C4×D311yescharacteristic
333C32×C4#23511yescharacteristic
334C32×C4#23511yescharacteristic
335C32×C4C22×C3×C411yescharacteristic
336C32×C4C3×#4111yescharacteristic
337C3⋊Dic3—41no—
338C3×Dic3—42no—
339C3×Dic3—41no—
340C3×Dic3—41no—
341C3×Dic3—122no—
342C3×Dic3—121no—
343C3×Dic3—121no—
344C2×D8—91no—
345C4×D4—31no—
346C4×D4—91no—
347#107—91no—
348#102—91no—
349#102—91no—
350C4×C8—31no—
351C33C4×D811yescharacteristic, complemented, Sylow
352C23×C3—62no—
353C23×C3—61no—
354C23×C3—61no—
355C23×C3—181no—
356C22×D3—21no—
357C22×D3—62no—
358C22×D3—61no—
359C22×D3—61no—
360C3×D4—32no—
361C3×D4—32no—
362C3×D4—62no—
363C3×D4—62no—
364C3×D4—61no—
365C3×D4—61no—
366C3×D4—92no—
367C3×D4—181no—
368C2×C3×C4—21no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—21no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—41no—
378C2×C3×C4—41no—
379C2×C3×C4—41no—
380C2×C3×C4—62no—
381C2×C3×C4—61no—
382C2×C3×C4—61no—
383C2×C3×C4—124no—
384C2×C3×C4—122no—
385C2×C3×C4—122no—
386C2×C3×C4—181no—
387C2×C3×C4—362no—
388C2×C3×C4#62611yescharacteristic
389C2×C3×C4#62611yescharacteristic
390C2×C3×C4C3×D1211yescharacteristic
391C2×C3×C4C3×D1211yescharacteristic
392C2×C3×C4C3×#6711yescharacteristic
393C2×C3×C4C3×#6711yescharacteristic
394C2×C3×C4C2×D3211yescharacteristic
395C2×C3×C4C22×C3×D311yescharacteristic
396C2×C3×C4C22×C3×D311yescharacteristic
397C2×Dic3—21no—
398C2×Dic3—62no—
399C2×Dic3—61no—
400C2×Dic3—61no—
401D12—21no—
402D12—32no—
403D12—32no—
404D12—62no—
405D12—62no—
406D12—61no—
407D12—61no—
408D12C3×C4×D312yescomplemented
409C4×D3—42no—
410C4×D3—124no—
411C4×D3—122no—
412C4×D3—122no—
413C3×C8—32no—
414C3×C8—32no—
415C3×C8—62no—
416C3×C8—62no—
417C3×C8—61no—
418C3×C8—61no—
419C3⋊C8—21no—
420C3⋊C8C3×C4×D312yescomplemented
421C2×C32—21no—
422C2×C32—21no—
423C2×C32—21no—
424C2×C32—21no—
425C2×C32—21no—
426C2×C32—21no—
427C2×C32—21no—
428C2×C32—21no—
429C2×C32—21no—
430C2×C32—41no—
431C2×C32—41no—
432C2×C32—41no—
433C2×C32—122no—
434C2×C32C4×D1211yescharacteristic
435C2×C32C2×D2411yescharacteristic
436C2×C32#90411yescharacteristic
437C2×C32C4×#6711yescharacteristic
438C2×C32C2×#21311yescharacteristic
439C2×C32#95011yescharacteristic
440C2×C32C3×C4×D411yescharacteristic
441C2×C32C2×C3×D811yescharacteristic
442C2×C32C3×#13511yescharacteristic
443C3⋊D3—42no—
444C3×D3—44no—
445C3×D3—42no—
446C3×D3—42no—
447C3×D3—124no—
448C3×D3—122no—
449C3×D3—122no—
450C2×D4—31no—
451C2×D4—91no—
452C22×C4—61no—
453C22×C4—181no—
454D8—94no—
455C2×C8—31no—
456C2×C8—31no—
457C4⋊C4—31no—
458C4⋊C4—91no—
459C22⋊C4—61no—
460C22⋊C4—181no—
461C42C3×D3211yescharacteristic
462C22×C3—21no—
463C22×C3—21no—
464C22×C3—21no—
465C22×C3—41no—
466C22×C3—64no—
467C22×C3—62no—
468C22×C3—62no—
469C22×C3—122no—
470C22×C3—122no—
471C22×C3—121no—
472C22×C3—121no—
473C22×C3—121no—
474C22×C3—121no—
475C22×C3—182no—
476C22×C3—361no—
477C22×C3—361no—
478C22×C3C2×#62611yescharacteristic
479C22×C3C2×C3×D1211yescharacteristic
480C22×C3C2×C3×#6711yescharacteristic
481C2×D3—22no—
482C2×D3—41no—
483C2×D3—41no—
484C2×D3—64no—
485C2×D3—62no—
486C2×D3—62no—
487C2×D3—122no—
488C2×D3—122no—
489C2×D3—121no—
490C2×D3—121no—
491C2×D3—121no—
492C2×D3—121no—
493C3×C4—22no—
494C3×C4—21no—
495C3×C4—21no—
496C3×C4—21no—
497C3×C4—21no—
498C3×C4—21no—
499C3×C4—21no—
500C3×C4—21no—
501C3×C4—21no—
502C3×C4—21no—
503C3×C4—22no—
504C3×C4—22no—
505C3×C4—22no—
506C3×C4—41no—
507C3×C4—41no—
508C3×C4—42no—
509C3×C4—41no—
510C3×C4—41no—
511C3×C4—42no—
512C3×C4—122no—
513C3×C4—121no—
514C3×C4—121no—
515C3×C4—361no—
516C3×C4#371412yesdirect product factor
517C3×C4C3×D2412yescomplemented
518C3×C4C3×#21312yescomplemented
519C3×C4#379811yescharacteristic
520C3×C4C4×D3211yescharacteristic
521C3×C4C2×C3×C4×D311yescharacteristic
522C3×C4C2×C3×C4×D311yescharacteristic
523C3×C4C3×#23511yescharacteristic
524C3×C4C3×#23511yescharacteristic
525Dic3—41no—
526Dic3—122no—
527Dic3—121no—
528Dic3—121no—
529C32—21no—
530C32—21no—
531C32—21no—
532C32—41no—
533C32C4×D2411yescharacteristic, complemented
534C32C4×#21311yescharacteristic, complemented
535C32C3×C4×D811yescharacteristic, complemented
536C23—61no—
537C23—181no—
538D4—32no—
539D4—61no—
540D4—92no—
541D4—181no—
542C2×C4—61no—
543C2×C4—122no—
544C2×C4—181no—
545C2×C4—362no—
546C2×C4C3×#62611yescharacteristic
547C2×C4C3×#62611yescharacteristic
548C2×C4C2×C3×D3211yescharacteristic
549C8—32no—
550C8—61no—
551C2×C3—21no—
552C2×C3—21no—
553C2×C3—21no—
554C2×C3—21no—
555C2×C3—21no—
556C2×C3—21no—
557C2×C3—21no—
558C2×C3—21no—
559C2×C3—21no—
560C2×C3—41no—
561C2×C3—41no—
562C2×C3—41no—
563C2×C3—124no—
564C2×C3—122no—
565C2×C3—122no—
566C2×C3—362no—
567C2×C3C2×#371411yescharacteristic
568C2×C3#6382911yescharacteristic
569C2×C3C4×#62611yescharacteristic
570C2×C3C3×C4×D1211yescharacteristic
571C2×C3C2×C3×D2411yescharacteristic
572C2×C3C3×#90411yescharacteristic
573C2×C3C3×C4×#6711yescharacteristic
574C2×C3C2×C3×#21311yescharacteristic
575C2×C3C3×#95011yescharacteristic
576D3—42no—
577D3—124no—
578D3—122no—
579D3—122no—
580C22—62no—
581C22—121no—
582C22—121no—
583C22—182no—
584C22—361no—
585C22—361no—
586C22C2×C3×#62611yescharacteristic
587C4—21no—
588C4—121no—
589C4—361no—
590C4C3×#371412yesdirect product factor
591C4C3×#379811yescharacteristic
592C4C3×C4×D3211yescharacteristic
593C3—21no—
594C3—21no—
595C3—21no—
596C3—41no—
597C3C4×#371411yescharacteristic, direct product factor
598C3C3×C4×D2411yescharacteristic, complemented
599C3C3×C4×#21311yescharacteristic, complemented
600C2—122no—
601C2—362no—
602C2C2×C3×#371411yescharacteristic
603C2C3×#6382911yescharacteristic
604C2C3×C4×#62611yescharacteristic
subgroupG/H
centerC2×C3×C4#626
commutatorC32×C4C22×C3×C4
FrattiniC2×C4C2×C3×D32
FittingC33×C42C22
socleC22×C33C2×D4
prime radicalC2×C3×#3714C2
cosocleC2×C32×C4C23×C3
hypercenterC3×C42D32
hypocenterC32C3×C4×D8
LCSG ▷ C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C3×C4 ◁ C3×C42

Complements

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

NH ≅ G/Ntype
1. C3×C4×C4⋊(C3⋊D3)C2semidirect
2. C32×C4×D12C2semidirect
4. C32×C4×C3⋊C8C2semidirect
5. C3×#63575C2semidirect
6. C3×#63564C2semidirect
7. C3×#63563C2semidirect
10. C4×#3714C3direct (N × H)
22. C3×#3714C4direct (N × H)
24. C4×C4⋊(C3⋊D3)C2×C3semidirect
31. C3×C4×D12D3semidirect
32. C3×C4×D12C2×C3semidirect
42. C3×C4×C3⋊C8D3semidirect
43. C3×C4×C3⋊C8C2×C3semidirect
44. #63575C2×C3semidirect
45. #63564C2×C3semidirect
46. #63563C2×C3semidirect
54. C3×C4⋊(C3⋊D3)C2×C4semidirect
58. C32×D12C2×C4semidirect
61. C32×C3⋊C8C2×C4semidirect
114. #3714C3×C4direct (N × H)
123. C33×C4D8semidirect
138. C4×D12C3×D3semidirect
151. C4×C3⋊C8C3×D3semidirect
187. C4⋊(C3⋊D3)C2×C3×C4semidirect
205. C3×D12C4×D3semidirect
206. C3×D12C2×C3×C4semidirect
219. C3×C3⋊C8C4×D3semidirect
220. C3×C3⋊C8C2×C3×C4semidirect
328. C32×C4D24semidirect
329. C32×C4#213semidirect
330. C32×C4C3×D8semidirect
351. C33C4×D8semidirect
408. D12C3×C4×D3semidirect
420. C3⋊C8C3×C4×D3semidirect
516. C3×C4#3714direct (N × H)
517. C3×C4C3×D24semidirect
518. C3×C4C3×#213semidirect
533. C32C4×D24semidirect
534. C32C4×#213semidirect
535. C32C3×C4×D8semidirect
590. C4C3×#3714direct (N × H)
597. C3C4×#3714direct (N × H)
598. C3C3×C4×D24semidirect
599. C3C3×C4×#213semidirect

Maximal subgroups

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

subgroupindex
C3×C4×C4⋊(C3⋊D3)2
C32×C4×D122
C2×C3×#37142
C32×C4×C3⋊C82
C3×#635752
C3×#635642
C3×#635632
C3×C4×#2133
C3×C4×D243
C4×#37143