Finite Group Databasebeta

← #10595985⋊C3 #13152445

Subgroups — #10595985⋊C3 #13152445

Order 1728.

925 conjugacy classes of subgroups.

The subgroup lattice has 605 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4⋊C4×H(3,𝔽3)C211yesmaximal, characteristic, complemented
2#64139⋊C3C211yesmaximal, characteristic, complemented
3#64139⋊C3C212yesmaximal, complemented
4C4×#638⋊C3C211yesmaximal, characteristic, complemented
5C4×#638⋊C3C212yesmaximal, complemented
6#64107⋊C3C212yesmaximal, complemented
7#64104⋊C3C211yesmaximal, characteristic, complemented
8#64103⋊C3C212yesmaximal, complemented
9#64102⋊C3C211yesmaximal, characteristic, complemented
10#64101⋊C3C211yesmaximal, characteristic, complemented
11#64099⋊C3C211yesmaximal, characteristic, complemented
12#10595985C311yesmaximal, characteristic, complemented
13C3×#5514—31nomaximal
14C22×C4×H(3,𝔽3)C2211yescharacteristic
15C22×C4×H(3,𝔽3)C2212yes—
16C2×#638⋊C3C2212yes—
17C2×#638⋊C3C2211yescharacteristic
18C2×C4⋊((C3⋊D3)⋊C3)C2211yescharacteristic
19C2×C4⋊((C3⋊D3)⋊C3)C2212yes—
20C2×C4×(C3⋊D3)⋊C3C2211yescharacteristic
21C2×C4×(C3⋊D3)⋊C3C2212yes—
22C4⋊C4×H(3,𝔽3)C2212yes—
23C4⋊C4×H(3,𝔽3)C2211yescharacteristic
24C4⋊C4×H(3,𝔽3)C2211yescharacteristic
25#3757⋊C3C2211yescharacteristic
26#3752⋊C3C2212yes—
27#3752⋊C3C2212yes—
28#3752⋊C3C2212yes—
29#3752⋊C3C2211yescharacteristic
30#3752⋊C3C2212yes—
31C4⋊((C3⋊Dic3)⋊C3)C2212yes—
32C4⋊((C3⋊Dic3)⋊C3)C2211yescharacteristic
33#3750⋊C3C2211yescharacteristic
34#3750⋊C3C2212yes—
35C4×(C3⋊Dic3)⋊C3C2212yes—
36C4×(C3⋊Dic3)⋊C3C2211yescharacteristic
37C2×C32×C4⋊C4—21no—
38C2×C32×C4⋊C4D311yescharacteristic, complemented
39C2×C32×C4⋊C4C2×C311yescharacteristic, complemented
40#64139C2×C311yescharacteristic, complemented
41#64139C2×C312yescomplemented
42C4×#638C2×C311yescharacteristic, complemented
43C4×#638C2×C312yescomplemented
44#64107C2×C312yescomplemented
45#64104C2×C311yescharacteristic, complemented
46#64103C2×C312yescomplemented
47#64102C2×C311yescharacteristic, complemented
48#64101C2×C311yescharacteristic, complemented
49#64099C2×C311yescharacteristic, complemented
50C3×#930—31no—
51C3×#930—32no—
52C3×C4×#67—31no—
53C3×C4×#67—32no—
54C3×#898—32no—
55C3×#895—31no—
56C3×#894—32no—
57C3×#893—31no—
58C3×#892—31no—
59C3×#890—31no—
60C23×H(3,𝔽3)C2311yescharacteristic
61C22×(C3⋊D3)⋊C3C2311yescharacteristic
62C22×(C3⋊D3)⋊C3C2312yes—
63C2×C4×H(3,𝔽3)—22no—
64C2×C4×H(3,𝔽3)—42no—
65C2×C4×H(3,𝔽3)C2312yes—
66C2×C4×H(3,𝔽3)C2312yes—
67C2×C4×H(3,𝔽3)C2311yescharacteristic
68C2×C4×H(3,𝔽3)C2311yescharacteristic
69#638⋊C3—24no—
70#638⋊C3—22no—
71C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
72C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
73C2×(C3⋊Dic3)⋊C3C2312yes—
74C2×(C3⋊Dic3)⋊C3C2311yescharacteristic
75C4⋊((C3⋊D3)⋊C3)—22no—
76C4⋊((C3⋊D3)⋊C3)—42no—
77C4×(C3⋊D3)⋊C3—22no—
78C4×(C3⋊D3)⋊C3—42no—
79C3×#553—91no—
80#5514—31no—
81#5514—91no—
82C22×C32×C4—21no—
83C22×C32×C4—22no—
84C22×C32×C4C2×D311yescharacteristic
85C22×C32×C4C2×D312yes—
86C22×C32×C4C22×C311yescharacteristic
87C22×C32×C4C22×C312yes—
88C2×#638C22×C311yescharacteristic
89C2×#638C22×C312yes—
90C2×C4⋊(C3⋊D3)C22×C311yescharacteristic
91C2×C4⋊(C3⋊D3)C22×C312yes—
92C2×C4×C3⋊D3C22×C311yescharacteristic
93C2×C4×C3⋊D3C22×C312yes—
94C2×C3×#67—31no—
95C2×C3×#67—32no—
96C2×C3×D12—31no—
97C2×C3×D12—32no—
98C2×C3×C4×D3—31no—
99C2×C3×C4×D3—32no—
100C32×C4⋊C4—21no—
101C32×C4⋊C4—21no—
102C32×C4⋊C4—22no—
103C32×C4⋊C4C2×D311yescharacteristic
104C32×C4⋊C4C2×D311yescharacteristic
105C32×C4⋊C4C2×D312yes—
106C32×C4⋊C4C22×C311yescharacteristic
107C32×C4⋊C4C22×C311yescharacteristic
108C32×C4⋊C4C22×C312yes—
109#3757C22×C311yescharacteristic
110#3752C22×C312yes—
111#3752C22×C312yes—
112#3752C22×C311yescharacteristic
113#3752C22×C312yes—
114#3752C22×C312yes—
115C4⋊(C3⋊Dic3)C22×C311yescharacteristic
116C4⋊(C3⋊Dic3)C22×C312yes—
117#3750C22×C312yes—
118#3750C22×C311yescharacteristic
119C4×C3⋊Dic3C22×C311yescharacteristic
120C4×C3⋊Dic3C22×C312yes—
121C3×#217—31no—
122C3×(C2×D3)⋊C4—32no—
123C3×(C2×D3)⋊C4—32no—
124C3×(C2×D3)⋊C4—31no—
125C3×(C2×D3)⋊C4—32no—
126C3×(C2×D3)⋊C4—32no—
127C3×C4⋊Dic3—31no—
128C3×C4⋊Dic3—32no—
129C3×Dic3⋊C4—32no—
130C3×Dic3⋊C4—31no—
131C3×C4×Dic3—31no—
132C3×C4×Dic3—32no—
133C22×H(3,𝔽3)—21no—
134C22×H(3,𝔽3)—21no—
135C22×H(3,𝔽3)#4112yes—
136C22×H(3,𝔽3)C2411yescharacteristic
137C2×(C3⋊D3)⋊C3—21no—
138C2×(C3⋊D3)⋊C3—22no—
139C2×(C3⋊D3)⋊C3—21no—
140C2×(C3⋊D3)⋊C3—22no—
141C2×(C3⋊D3)⋊C3—22no—
142C2×(C3⋊D3)⋊C3—21no—
143C4×H(3,𝔽3)—21no—
144C4×H(3,𝔽3)—22no—
145C4×H(3,𝔽3)—22no—
146C4×H(3,𝔽3)#4112yes—
147(C3⋊Dic3)⋊C3—21no—
148(C3⋊Dic3)⋊C3—22no—
149(C3⋊Dic3)⋊C3—21no—
150(C3⋊Dic3)⋊C3—21no—
151C3×#126—92no—
152C3×#125—91no—
153C3×#123—92no—
154C3×#121—91no—
155C3×#121—92no—
156C3×#121—91no—
157C3×C4×D4—91no—
158C3×C4×D4—92no—
159C3×C4×D4—91no—
160C3×#117—91no—
161C2×C3×C4⋊C4—31no—
162C2×C3×C4⋊C4—31no—
163C2×C3×C4⋊C4—61no—
164C2×C3×C4⋊C4C3×D311yescharacteristic
165#930—31no—
166#930—32no—
167#930—91no—
168#930—92no—
169C4×#67—31no—
170C4×#67—32no—
171C4×#67—91no—
172C4×#67—92no—
173#898—32no—
174#898—92no—
175#895—31no—
176#895—91no—
177#894—32no—
178#894—92no—
179#893—31no—
180#893—91no—
181#892—31no—
182#892—91no—
183#890—31no—
184#890—91no—
185C23×C32—21no—
186C23×C32C22×D311yescharacteristic
187C23×C32C23×C311yescharacteristic
188C22×C3⋊D3C23×C311yescharacteristic
189C22×C3⋊D3C23×C312yes—
190C22×C3×D3—31no—
191C22×C3×D3—32no—
192C2×C32×C4—24no—
193C2×C32×C4—22no—
194C2×C32×C4—22no—
195C2×C32×C4—21no—
196C2×C32×C4—21no—
197C2×C32×C4—22no—
198C2×C32×C4—22no—
199C2×C32×C4—42no—
200C2×C32×C4—42no—
201C2×C32×C4—44no—
202C2×C32×C4C22×D312yes—
203C2×C32×C4C22×D312yes—
204C2×C32×C4C22×D311yescharacteristic
205C2×C32×C4C22×D311yescharacteristic
206C2×C32×C4C23×C312yes—
207C2×C32×C4C23×C312yes—
208C2×C32×C4C23×C311yescharacteristic
209C2×C32×C4C23×C311yescharacteristic
210#638—22no—
211#638—24no—
212C2×C3⋊Dic3C23×C311yescharacteristic
213C2×C3⋊Dic3C23×C311yescharacteristic
214C2×C3⋊Dic3C23×C311yescharacteristic
215C2×C3⋊Dic3C23×C312yes—
216C4⋊(C3⋊D3)—22no—
217C4⋊(C3⋊D3)—42no—
218C4×C3⋊D3—22no—
219C4×C3⋊D3—42no—
220C3×#67—62no—
221C3×#67—64no—
222C2×C3×Dic3—31no—
223C2×C3×Dic3—31no—
224C2×C3×Dic3—31no—
225C2×C3×Dic3—32no—
226C3×D12—62no—
227C3×D12—122no—
228C3×C4×D3—62no—
229C3×C4×D3—122no—
230#553—91noSylow
231C2×H(3,𝔽3)—22no—
232C2×H(3,𝔽3)C2×#4111yescharacteristic
233C2×H(3,𝔽3)C2×#4111yescharacteristic
234C2×H(3,𝔽3)H(5,𝔽2)11yescharacteristic
235(C3⋊D3)⋊C3—41no—
236(C3⋊D3)⋊C3—42no—
237C2×C3×D4—91no—
238C2×C3×D4—92no—
239C2×C3×D4—92no—
240C2×C3×D4—91no—
241C22×C3×C4—31no—
242C22×C3×C4—31no—
243C22×C3×C4—32no—
244C22×C3×C4—32no—
245C22×C3×C4—61no—
246C22×C3×C4—62no—
247C22×C3×C4—91no—
248C22×C3×C4—92no—
249C22×C3×C4C2×C3×D311yescharacteristic
250C22×C3×C4C2×C3×D312yes—
251C2×#67—31no—
252C2×#67—32no—
253C2×#67—91no—
254C2×#67—92no—
255C2×D12—31no—
256C2×D12—32no—
257C2×D12—91no—
258C2×D12—92no—
259C2×C4×D3—31no—
260C2×C4×D3—32no—
261C2×C4×D3—91no—
262C2×C4×D3—92no—
263C3×C4⋊C4—31no—
264C3×C4⋊C4—31no—
265C3×C4⋊C4—32no—
266C3×C4⋊C4—31no—
267C3×C4⋊C4—31no—
268C3×C4⋊C4—32no—
269C3×C4⋊C4—61no—
270C3×C4⋊C4—61no—
271C3×C4⋊C4—62no—
272C3×C4⋊C4—92no—
273C3×C4⋊C4—91no—
274C3×C4⋊C4—91no—
275C3×C4⋊C4—92no—
276C3×C4⋊C4C2×C3×D311yescharacteristic
277C3×C4⋊C4C2×C3×D311yescharacteristic
278C3×C4⋊C4C2×C3×D312yes—
279C3×C22⋊C4—92no—
280C3×C22⋊C4—92no—
281C3×C22⋊C4—92no—
282C3×C22⋊C4—91no—
283C3×C22⋊C4—92no—
284C3×C22⋊C4—91no—
285C3×C42—92no—
286C3×C42—91no—
287#217—31no—
288#217—91no—
289(C2×D3)⋊C4—32no—
290(C2×D3)⋊C4—32no—
291(C2×D3)⋊C4—31no—
292(C2×D3)⋊C4—32no—
293(C2×D3)⋊C4—32no—
294(C2×D3)⋊C4—92no—
295(C2×D3)⋊C4—92no—
296(C2×D3)⋊C4—91no—
297(C2×D3)⋊C4—92no—
298(C2×D3)⋊C4—92no—
299C4⋊Dic3—31no—
300C4⋊Dic3—32no—
301C4⋊Dic3—91no—
302C4⋊Dic3—92no—
303Dic3⋊C4—32no—
304Dic3⋊C4—31no—
305Dic3⋊C4—92no—
306Dic3⋊C4—91no—
307C4×Dic3—31no—
308C4×Dic3—32no—
309C4×Dic3—91no—
310C4×Dic3—92no—
311C22×C32—22no—
312C22×C32—22no—
313C22×C32—21no—
314C22×C32—21no—
315C22×C32—21no—
316C22×C32—21no—
317C22×C32—21no—
318C22×C32—22no—
319C22×C32#23912yes—
320C22×C32C3×#4112yes—
321C22×C32C23×D311yescharacteristic
322C22×C32C24×C311yescharacteristic
323C2×C3⋊D3—21no—
324C2×C3⋊D3—22no—
325C2×C3⋊D3—21no—
326C2×C3⋊D3—22no—
327C2×C3⋊D3—22no—
328C2×C3⋊D3—21no—
329C2×C3×D3—61no—
330C2×C3×D3—62no—
331C2×C3×D3—62no—
332C2×C3×D3—61no—
333C2×C3×D3—61no—
334C2×C3×D3—62no—
335C32×C4—22no—
336C32×C4—21no—
337C32×C4—22no—
338C32×C4—22no—
339C32×C4—21no—
340C32×C4—22no—
341C32×C4—22no—
342C32×C4—22no—
343C32×C4—42no—
344C32×C4—42no—
345C32×C4#23512yes—
346C32×C4C3×#4112yes—
347C3⋊Dic3—21no—
348C3⋊Dic3—21no—
349C3⋊Dic3—22no—
350C3⋊Dic3—21no—
351C3×Dic3—61no—
352C3×Dic3—61no—
353C3×Dic3—61no—
354C3×Dic3—62no—
355#126—92no—
356#125—91no—
357#123—92no—
358#121—92no—
359#121—91no—
360#121—91no—
361C4×D4—92no—
362C4×D4—91no—
363C4×D4—91no—
364#117—91no—
365C2×C4⋊C4(C3⋊D3)⋊C311yescharacteristic, complemented
366H(3,𝔽3)#55311yescharacteristic, complemented, Sylow
367C23×C3—31no—
368C23×C3—31no—
369C23×C3—61no—
370C23×C3—91no—
371C23×C3—92no—
372C23×C3C22×C3×D311yescharacteristic
373C22×D3—31no—
374C22×D3—32no—
375C22×D3—91no—
376C22×D3—92no—
377C3×D4—182no—
378C3×D4—184no—
379C3×D4—182no—
380C3×D4—362no—
381C2×C3×C4—22no—
382C2×C3×C4—31no—
383C2×C3×C4—31no—
384C2×C3×C4—32no—
385C2×C3×C4—31no—
386C2×C3×C4—32no—
387C2×C3×C4—32no—
388C2×C3×C4—32no—
389C2×C3×C4—31no—
390C2×C3×C4—42no—
391C2×C3×C4—62no—
392C2×C3×C4—62no—
393C2×C3×C4—64no—
394C2×C3×C4—61no—
395C2×C3×C4—61no—
396C2×C3×C4—62no—
397C2×C3×C4—62no—
398C2×C3×C4—91no—
399C2×C3×C4—92no—
400C2×C3×C4—91no—
401C2×C3×C4—91no—
402C2×C3×C4—122no—
403C2×C3×C4—122no—
404C2×C3×C4—124no—
405C2×C3×C4—182no—
406C2×C3×C4—362no—
407C2×C3×C4C22×C3×D312yes—
408C2×C3×C4C22×C3×D312yes—
409C2×C3×C4C22×C3×D311yescharacteristic
410C2×C3×C4C22×C3×D311yescharacteristic
411#67—62no—
412#67—64no—
413#67—182no—
414#67—184no—
415C2×Dic3—31no—
416C2×Dic3—31no—
417C2×Dic3—31no—
418C2×Dic3—32no—
419C2×Dic3—91no—
420C2×Dic3—91no—
421C2×Dic3—91no—
422C2×Dic3—92no—
423D12—62no—
424D12—122no—
425D12—182no—
426D12—362no—
427C4×D3—62no—
428C4×D3—122no—
429C4×D3—182no—
430C4×D3—362no—
431C2×C32—24no—
432C2×C32—22no—
433C2×C32—22no—
434C2×C32—21no—
435C2×C32—21no—
436C2×C32—21no—
437C2×C32C2×#23511yescharacteristic
438C2×C32#100411yescharacteristic
439C2×C32C2×#23911yescharacteristic
440C2×C32C2×C3×#4111yescharacteristic
441C2×C32C2×C3×#4111yescharacteristic
442C2×C32C3×H(5,𝔽2)11yescharacteristic
443C3⋊D3—41no—
444C3⋊D3—42no—
445C3×D3—121no—
446C3×D3—122no—
447C2×D4—92no—
448C2×D4—91no—
449C2×D4—91no—
450C2×D4—92no—
451C22×C4—91no—
452C22×C4—92no—
453C22×C4C2×(C3⋊D3)⋊C311yescharacteristic
454C22×C4C2×(C3⋊D3)⋊C312yes—
455C4⋊C4—91no—
456C4⋊C4—92no—
457C4⋊C4—91no—
458C4⋊C4—92no—
459C4⋊C4C2×(C3⋊D3)⋊C311yescharacteristic
460C4⋊C4C2×(C3⋊D3)⋊C311yescharacteristic
461C4⋊C4C2×(C3⋊D3)⋊C312yes—
462C22⋊C4—91no—
463C22⋊C4—92no—
464C22⋊C4—92no—
465C22⋊C4—92no—
466C22⋊C4—91no—
467C22⋊C4—92no—
468C42—92no—
469C42—91no—
470C22×C3—21no—
471C22×C3—21no—
472C22×C3—31no—
473C22×C3—31no—
474C22×C3—32no—
475C22×C3—32no—
476C22×C3—61no—
477C22×C3—61no—
478C22×C3—61no—
479C22×C3—61no—
480C22×C3—62no—
481C22×C3—62no—
482C22×C3—61no—
483C22×C3—62no—
484C22×C3—181no—
485C22×C3—182no—
486C22×C3—182no—
487C22×C3—181no—
488C22×C3—182no—
489C22×C3—181no—
490C22×C3C3×#23912yes—
491C22×C3C23×C3×D311yescharacteristic
492C2×D3—61no—
493C2×D3—62no—
494C2×D3—62no—
495C2×D3—61no—
496C2×D3—61no—
497C2×D3—62no—
498C2×D3—181no—
499C2×D3—182no—
500C2×D3—182no—
501C2×D3—181no—
502C2×D3—181no—
503C2×D3—182no—
504C3×C4—21no—
505C3×C4—22no—
506C3×C4—22no—
507C3×C4—32no—
508C3×C4—32no—
509C3×C4—62no—
510C3×C4—62no—
511C3×C4—61no—
512C3×C4—61no—
513C3×C4—62no—
514C3×C4—62no—
515C3×C4—62no—
516C3×C4—62no—
517C3×C4—122no—
518C3×C4—122no—
519C3×C4—181no—
520C3×C4—181no—
521C3×C4—182no—
522C3×C4—181no—
523C3×C4C3×#23512yes—
524Dic3—61no—
525Dic3—61no—
526Dic3—61no—
527Dic3—62no—
528Dic3—181no—
529Dic3—181no—
530Dic3—181no—
531Dic3—182no—
532C32—21no—
533C32#551411yescharacteristic, complemented
534C32C3×#55311yescharacteristic, complemented
535C23—91no—
536C23—92no—
537C23C22×(C3⋊D3)⋊C311yescharacteristic
538D4—184no—
539D4—182no—
540D4—182no—
541D4—362no—
542C2×C4—22no—
543C2×C4—42no—
544C2×C4—91no—
545C2×C4—92no—
546C2×C4—91no—
547C2×C4—91no—
548C2×C4—182no—
549C2×C4—362no—
550C2×C4C22×(C3⋊D3)⋊C312yes—
551C2×C4C22×(C3⋊D3)⋊C311yescharacteristic
552C2×C4C22×(C3⋊D3)⋊C312yes—
553C2×C4C22×(C3⋊D3)⋊C311yescharacteristic
554C2×C3—22no—
555C2×C3—31no—
556C2×C3—31no—
557C2×C3—31no—
558C2×C3—31no—
559C2×C3—31no—
560C2×C3—31no—
561C2×C3—62no—
562C2×C3—62no—
563C2×C3—64no—
564C2×C3—61no—
565C2×C3—61no—
566C2×C3—61no—
567C2×C3—361no—
568C2×C3—362no—
569C2×C3C2×C3×#23511yescharacteristic
570C2×C3C3×#100411yescharacteristic
571C2×C3C2×C3×#23911yescharacteristic
572D3—121no—
573D3—122no—
574D3—361no—
575D3—362no—
576C22—21no—
577C22—21no—
578C22—181no—
579C22—182no—
580C22—182no—
581C22—181no—
582C22—181no—
583C22—182no—
584C22#8872212yes—
585C22C23×(C3⋊D3)⋊C311yescharacteristic
586C4—21no—
587C4—22no—
588C4—22no—
589C4—181no—
590C4—181no—
591C4—182no—
592C4—181no—
593C4#3828⋊C312yes—
594C3—31no—
595C3—31no—
596C3—61no—
597C3C3×#551411yescharacteristic
598C2—22no—
599C2—361no—
600C2—362no—
601C2C2×#3828⋊C311yescharacteristic
602C2#64361⋊C311yescharacteristic
603C2C2×#8872211yescharacteristic
subgroupG/H
centerC22C23×(C3⋊D3)⋊C3
commutator, cosocleC22×C32C24×C3
Frattini, socleC22×C3C23×C3×D3
FittingC2×C4⋊C4×H(3,𝔽3)C2
hypercenterC2×C4⋊C4(C3⋊D3)⋊C3
hypocenterC32C3×#553
LCSG ▷ C22×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×C4⋊C4×H(3,𝔽3)C2semidirect
2. #64139⋊C3C2semidirect
3. #64139⋊C3C2semidirect
4. C4×#638⋊C3C2semidirect
5. C4×#638⋊C3C2semidirect
6. #64107⋊C3C2semidirect
7. #64104⋊C3C2semidirect
8. #64103⋊C3C2semidirect
9. #64102⋊C3C2semidirect
10. #64101⋊C3C2semidirect
11. #64099⋊C3C2semidirect
12. #10595985C3semidirect
38. C2×C32×C4⋊C4D3semidirect
39. C2×C32×C4⋊C4C2×C3semidirect
40. #64139C2×C3semidirect
41. #64139C2×C3semidirect
42. C4×#638C2×C3semidirect
43. C4×#638C2×C3semidirect
44. #64107C2×C3semidirect
45. #64104C2×C3semidirect
46. #64103C2×C3semidirect
47. #64102C2×C3semidirect
48. #64101C2×C3semidirect
49. #64099C2×C3semidirect
365. C2×C4⋊C4(C3⋊D3)⋊C3semidirect
366. H(3,𝔽3)#553semidirect
533. C32#5514semidirect
534. C32C3×#553semidirect

Maximal subgroups

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

subgroupindex
C2×C4⋊C4×H(3,𝔽3)2
#64139⋊C32
C4×#638⋊C32
#64107⋊C32
#64104⋊C32
#64103⋊C32
#64102⋊C32
#64101⋊C32
#64099⋊C32
#105959853
C3×#55143