Finite Group Databasebeta

← C2×#10591208 #11808317

Subgroups — C2×#10591208 #11808317

Order 1152.

1977 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#3752C211yesmaximal, characteristic
2C22×Dic3⋊Dic3C211yesmaximal, characteristic, complemented
3C22×#3722C211yesmaximal, characteristic
4C22×#3722C211yesmaximal, characteristic
5C2×C3×C3⋊#95C211yesmaximal, characteristic, complemented
6C2×C3×C3⋊#95C211yesmaximal, characteristic, complemented
7C2×#63579C211yesmaximal, characteristic, complemented
8#10591208C218yesmaximal, direct product factor
9C2×#4675—31nomaximal
10C2×#4674—31nomaximal
11C24×C3⋊D3C2211yescharacteristic
12C23×C32×C4C2211yescharacteristic
13C23×C3⋊Dic3C2211yescharacteristic
14C23×C3×Dic3C2211yescharacteristic
15C23×C3×Dic3C2211yescharacteristic
16C23×C3×Dic3C2211yescharacteristic
17C23×C3×Dic3C2211yescharacteristic
18C2×#3752—24no—
19C2×#3752C2214yes—
20C2×Dic3⋊Dic3—24no—
21C2×Dic3⋊Dic3C2214yescomplemented
22C2×#3722—24no—
23C2×#3722—24no—
24C2×#3722C2214yes—
25C2×#3722C2214yes—
26C3×C3⋊#95C2214yescomplemented
27C3×C3⋊#95C2214yescomplemented
28#63579C2214yescomplemented
29C22×(C2×D3)⋊C4—31no—
30C22×(C2×D3)⋊C4—31no—
31C22×(C2×D3)⋊C4—31no—
32C22×(C2×D3)⋊C4—31no—
33C22×(C2×D3)⋊C4—31no—
34C22×(C2×D3)⋊C4—31no—
35C22×(C2×D3)⋊C4—61no—
36C22×C4⋊Dic3—31no—
37C22×Dic3⋊C4—31no—
38C2×C3×#95—31no—
39C2×C3×#95—31no—
40C2×C3⋊#95—31no—
41C2×C3⋊#95—31no—
42C2×C3⋊#95D311yescharacteristic, complemented
43C2×C3⋊#95D311yescharacteristic, complemented
44#4675—38no—
45#4674—38no—
46C24×C32C2311yescharacteristic
47C23×C3⋊D3—22no—
48C23×C3⋊D3—22no—
49C23×C3⋊D3—22no—
50C23×C3⋊D3—22no—
51C23×C3⋊D3—22no—
52C23×C3⋊D3—22no—
53C23×C3⋊D3D414yes—
54C23×C3⋊D3C2312yes—
55C22×C32×C4—22no—
56C22×C32×C4—22no—
57C22×C32×C4—22no—
58C22×C32×C4C2312yes—
59C22×C3⋊Dic3—22no—
60C22×C3⋊Dic3—22no—
61C22×C3⋊Dic3—22no—
62C22×C3⋊Dic3C2312yes—
63C22×C3×Dic3—22no—
64C22×C3×Dic3—22no—
65C22×C3×Dic3—22no—
66C22×C3×Dic3—22no—
67C22×C3×Dic3—22no—
68C22×C3×Dic3—22no—
69C22×C3×Dic3—22no—
70C22×C3×Dic3—22no—
71C22×C3×Dic3—22no—
72C22×C3×Dic3—22no—
73C22×C3×Dic3—22no—
74C22×C3×Dic3D414yes—
75C22×C3×Dic3C2312yes—
76C22×C3×Dic3C2312yes—
77C22×C3×Dic3C2312yes—
78C22×C3×Dic3C2312yes—
79#3752—28no—
80Dic3⋊Dic3—28no—
81#3722—28no—
82#3722—28no—
83C2×#397—91noSylow
84C24×D3—31no—
85C24×D3—31no—
86C24×D3—61no—
87C23×C3×C4—21no—
88C23×C3×C4—31no—
89C23×C3×C4—31no—
90C23×C3×C4—31no—
91C23×C3×C4—31no—
92C23×C3×C4C2×D311yescharacteristic
93C23×C3×C4C2×D311yescharacteristic
94C23×Dic3—31no—
95C23×Dic3—31no—
96C23×Dic3—61no—
97C23×Dic3C2×D311yescharacteristic
98C23×Dic3C2×D311yescharacteristic
99C23×Dic3C2×D311yescharacteristic
100C23×Dic3C2×D311yescharacteristic
101C2×(C2×D3)⋊C4—34no—
102C2×(C2×D3)⋊C4—34no—
103C2×(C2×D3)⋊C4—34no—
104C2×(C2×D3)⋊C4—34no—
105C2×(C2×D3)⋊C4—34no—
106C2×(C2×D3)⋊C4—34no—
107C2×(C2×D3)⋊C4—64no—
108C2×(C2×D3)⋊C4—64no—
109C2×(C2×D3)⋊C4—64no—
110C2×(C2×D3)⋊C4—64no—
111C2×(C2×D3)⋊C4—64no—
112C2×(C2×D3)⋊C4—64no—
113C2×(C2×D3)⋊C4—68no—
114C2×(C2×D3)⋊C4—64no—
115C2×C4⋊Dic3—34no—
116C2×C4⋊Dic3—64no—
117C2×Dic3⋊C4—34no—
118C2×Dic3⋊C4—64no—
119C3×#95—34no—
120C3×#95—34no—
121C3⋊#95—34no—
122C3⋊#95—34no—
123C3⋊#95C2×D314yescomplemented
124C3⋊#95C2×D314yescomplemented
125C23×C32C2×D412yes—
126C23×C32C2×D412yes—
127C23×C32#4112yes—
128C23×C32#4112yes—
129C23×C32#4112yes—
130C23×C32#4112yes—
131C23×C32#4112yes—
132C23×C32C2411yescharacteristic
133C22×C3⋊D3—28no—
134C22×C3⋊D3—22no—
135C22×C3⋊D3—22no—
136C22×C3⋊D3—28no—
137C22×C3⋊D3—28no—
138C22×C3⋊D3—22no—
139C22×C3⋊D3—22no—
140C22×C3⋊D3—22no—
141C22×C3⋊D3—22no—
142C22×C3⋊D3—44no—
143C22×C3⋊D3—44no—
144C22×C3⋊D3—44no—
145C22×C3⋊D3—44no—
146C22×C3⋊D3C2×D414yes—
147C2×C32×C4—22no—
148C2×C32×C4—22no—
149C2×C32×C4—22no—
150C2×C32×C4—44no—
151C2×C3⋊Dic3—22no—
152C2×C3⋊Dic3—22no—
153C2×C3⋊Dic3—22no—
154C2×C3⋊Dic3—44no—
155C2×C3×Dic3—28no—
156C2×C3×Dic3—22no—
157C2×C3×Dic3—22no—
158C2×C3×Dic3—22no—
159C2×C3×Dic3—22no—
160C2×C3×Dic3—22no—
161C2×C3×Dic3—22no—
162C2×C3×Dic3—22no—
163C2×C3×Dic3—22no—
164C2×C3×Dic3—22no—
165C2×C3×Dic3—22no—
166C2×C3×Dic3—22no—
167C2×C3×Dic3—44no—
168C2×C3×Dic3—44no—
169C2×C3×Dic3—44no—
170C2×C3×Dic3C2×D414yes—
171C22×C4⋊C4—91no—
172C22×C22⋊C4—91no—
173C22×C22⋊C4—91no—
174C22×C22⋊C4—91no—
175#397—98no—
176C2×#95—31no—
177C2×#95—31no—
178C2×#95—91no—
179C24×C3—21no—
180C24×C3C22×D311yescharacteristic
181C24×C3C22×D311yescharacteristic
182C23×D3—34no—
183C23×D3—34no—
184C23×D3—32no—
185C23×D3—32no—
186C23×D3—64no—
187C23×D3—62no—
188C23×D3—64no—
189C23×D3—64no—
190C23×D3—62no—
191C23×D3—62no—
192C23×D3—62no—
193C23×D3—62no—
194C23×D3—62no—
195C23×D3—62no—
196C23×D3—62no—
197C23×D3—62no—
198C23×D3—62no—
199C23×D3—62no—
200C23×D3—62no—
201C23×D3—62no—
202C23×D3—122no—
203C23×D3—122no—
204C23×D3—122no—
205C23×D3—122no—
206C22×C3×C4—24no—
207C22×C3×C4—22no—
208C22×C3×C4—22no—
209C22×C3×C4—22no—
210C22×C3×C4—22no—
211C22×C3×C4—22no—
212C22×C3×C4—22no—
213C22×C3×C4—22no—
214C22×C3×C4—34no—
215C22×C3×C4—32no—
216C22×C3×C4—32no—
217C22×C3×C4—32no—
218C22×C3×C4—32no—
219C22×C3×C4—42no—
220C22×C3×C4—42no—
221C22×C3×C4—62no—
222C22×C3×C4—62no—
223C22×C3×C4—62no—
224C22×C3×C4—62no—
225C22×C3×C4—62no—
226C22×C3×C4—62no—
227C22×C3×C4—62no—
228C22×C3×C4—62no—
229C22×C3×C4—62no—
230C22×C3×C4—62no—
231C22×C3×C4—62no—
232C22×C3×C4C22×D312yes—
233C22×C3×C4C22×D312yes—
234C22×Dic3—22no—
235C22×Dic3—22no—
236C22×Dic3—22no—
237C22×Dic3—22no—
238C22×Dic3—22no—
239C22×Dic3—22no—
240C22×Dic3—22no—
241C22×Dic3—22no—
242C22×Dic3—22no—
243C22×Dic3—22no—
244C22×Dic3—22no—
245C22×Dic3—32no—
246C22×Dic3—32no—
247C22×Dic3—62no—
248C22×Dic3—64no—
249C22×Dic3—62no—
250C22×Dic3—62no—
251C22×Dic3—62no—
252C22×Dic3—62no—
253C22×Dic3—62no—
254C22×Dic3—62no—
255C22×Dic3—122no—
256C22×Dic3—122no—
257C22×Dic3D1214yes—
258C22×Dic3C22×D312yes—
259C22×Dic3C22×D312yes—
260C22×Dic3C22×D312yes—
261C22×Dic3C22×D312yes—
262(C2×D3)⋊C4—68no—
263(C2×D3)⋊C4—68no—
264(C2×D3)⋊C4—68no—
265(C2×D3)⋊C4—68no—
266(C2×D3)⋊C4—68no—
267(C2×D3)⋊C4—616no—
268(C2×D3)⋊C4—68no—
269C4⋊Dic3—68no—
270Dic3⋊C4—68no—
271C22×C32#12114yes—
272C22×C32#12314yes—
273C22×C32#12314yes—
274C22×C32#12314yes—
275C22×C32#12414yes—
276C22×C32#12614yes—
277C22×C32#12614yes—
278C22×C32C22×D411yescharacteristic
279C22×C32C22×D411yescharacteristic
280C22×C32C2×#4111yescharacteristic
281C22×C32C2×#4111yescharacteristic
282C22×C32C2×#4111yescharacteristic
283C22×C32C2×#4111yescharacteristic
284C22×C32C2×#4111yescharacteristic
285C2×C3⋊D3—24no—
286C2×C3⋊D3—24no—
287C2×C3⋊D3—24no—
288C2×C3⋊D3—42no—
289C2×C3⋊D3—42no—
290C2×C3⋊D3—42no—
291C2×C3⋊D3—42no—
292C2×C3⋊D3—416no—
293C32×C4—42no—
294C3⋊Dic3—42no—
295C3×Dic3—24no—
296C3×Dic3—42no—
297C3×Dic3—42no—
298C3×Dic3—42no—
299C25—91no—
300C23×C4—31no—
301C23×C4—31no—
302C23×C4—31no—
303C23×C4—31no—
304C23×C4—91no—
305C23×C4D3211yescharacteristic
306C2×C4⋊C4—94no—
307C2×C4⋊C4—184no—
308C2×C22⋊C4—94no—
309C2×C22⋊C4—94no—
310C2×C22⋊C4—94no—
311C2×C22⋊C4—184no—
312C2×C22⋊C4—184no—
313C2×C22⋊C4—184no—
314#95—34no—
315#95—34no—
316#95—94no—
317C23×C3—21no—
318C23×C3—22no—
319C23×C3—22no—
320C23×C3—22no—
321C23×C3—22no—
322C23×C3—22no—
323C23×C3—22no—
324C23×C3—22no—
325C23×C3C2×D1212yes—
326C23×C3#23512yes—
327C23×C3#23512yes—
328C23×C3#23512yes—
329C23×C3#23512yes—
330C23×C3#23512yes—
331C23×C3D3×D412yes—
332C23×C3D3×D412yes—
333C23×C3D3×D412yes—
334C23×C3#23712yes—
335C23×C3#23712yes—
336C23×C3#23712yes—
337C23×C3#23912yes—
338C23×C3#23912yes—
339C23×C3C23×D311yescharacteristic
340C23×C3C23×D311yescharacteristic
341C22×D3—34no—
342C22×D3—34no—
343C22×D3—64no—
344C22×D3—64no—
345C22×D3—64no—
346C22×D3—616no—
347C22×D3—68no—
348C22×D3—68no—
349C22×D3—68no—
350C22×D3—68no—
351C22×D3—68no—
352C22×D3—68no—
353C22×D3—62no—
354C22×D3—62no—
355C22×D3—62no—
356C22×D3—62no—
357C22×D3—62no—
358C22×D3—62no—
359C22×D3—62no—
360C22×D3—62no—
361C22×D3—62no—
362C22×D3—62no—
363C22×D3—62no—
364C22×D3—62no—
365C22×D3—122no—
366C22×D3—122no—
367C22×D3—122no—
368C22×D3—122no—
369C22×D3—128no—
370C22×D3—128no—
371C22×D3—128no—
372C22×D3—128no—
373C22×D3—128no—
374C22×D3—128no—
375C22×D3—124no—
376C22×D3—124no—
377C22×D3—124no—
378C22×D3—124no—
379C22×D3—124no—
380C22×D3—124no—
381C22×D3—124no—
382C22×D3—124no—
383C2×C3×C4—24no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—22no—
389C2×C3×C4—22no—
390C2×C3×C4—34no—
391C2×C3×C4—42no—
392C2×C3×C4—42no—
393C2×C3×C4—48no—
394C2×C3×C4—44no—
395C2×C3×C4—44no—
396C2×C3×C4—68no—
397C2×C3×C4—62no—
398C2×C3×C4—62no—
399C2×C3×C4—62no—
400C2×C3×C4—62no—
401C2×C3×C4—62no—
402C2×C3×C4—62no—
403C2×C3×C4—62no—
404C2×C3×C4—62no—
405C2×C3×C4—62no—
406C2×C3×C4—62no—
407C2×C3×C4—62no—
408C2×C3×C4—124no—
409C2×C3×C4—124no—
410C2×C3×C4—124no—
411C2×Dic3—28no—
412C2×Dic3—22no—
413C2×Dic3—22no—
414C2×Dic3—22no—
415C2×Dic3—22no—
416C2×Dic3—22no—
417C2×Dic3—22no—
418C2×Dic3—22no—
419C2×Dic3—22no—
420C2×Dic3—22no—
421C2×Dic3—22no—
422C2×Dic3—22no—
423C2×Dic3—44no—
424C2×Dic3—44no—
425C2×Dic3—44no—
426C2×Dic3—64no—
427C2×Dic3—62no—
428C2×Dic3—62no—
429C2×Dic3—62no—
430C2×Dic3—62no—
431C2×Dic3—62no—
432C2×Dic3—62no—
433C2×Dic3—122no—
434C2×Dic3—122no—
435C2×Dic3—128no—
436C2×Dic3—124no—
437C2×Dic3—124no—
438C2×Dic3C2×D1214yes—
439C2×C32#39718yescomplemented
440C2×C32C2×#12111yescharacteristic
441C2×C32C2×#12311yescharacteristic
442C2×C32C2×#12311yescharacteristic
443C2×C32C2×#12311yescharacteristic
444C2×C32C2×#12411yescharacteristic
445C2×C32C2×#12611yescharacteristic
446C2×C32C2×#12611yescharacteristic
447C3⋊D3—44no—
448C24—92no—
449C24—94no—
450C24—182no—
451C24—182no—
452C24—182no—
453C24—182no—
454C24—182no—
455C24—182no—
456C24C2×D3211yescharacteristic
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—32no—
461C22×C4—34no—
462C22×C4—32no—
463C22×C4—32no—
464C22×C4—32no—
465C22×C4—62no—
466C22×C4—62no—
467C22×C4—62no—
468C22×C4—62no—
469C22×C4—62no—
470C22×C4—62no—
471C22×C4—62no—
472C22×C4—62no—
473C22×C4—62no—
474C22×C4—62no—
475C22×C4—62no—
476C22×C4—92no—
477C22×C4—182no—
478C22×C4—182no—
479C22×C4—182no—
480C22×C4C2×D3212yes—
481C4⋊C4—188no—
482C22⋊C4—188no—
483C22⋊C4—188no—
484C22⋊C4—188no—
485C22×C3—21no—
486C22×C3—21no—
487C22×C3—21no—
488C22×C3—21no—
489C22×C3—21no—
490C22×C3—21no—
491C22×C3—21no—
492C22×C3—24no—
493C22×C3—24no—
494C22×C3—24no—
495C22×C3—24no—
496C22×C3—24no—
497C22×C3—24no—
498C22×C3—24no—
499C22×C3#87514yes—
500C22×C3#87614yes—
501C22×C3#88314yes—
502C22×C3#88314yes—
503C22×C3#88314yes—
504C22×C3#88414yes—
505C22×C3#88514yes—
506C22×C3#88614yes—
507C22×C3#89414yes—
508C22×C3#89414yes—
509C22×C3#89514yes—
510C22×C3#89814yes—
511C22×C3#89814yes—
512C22×C3#89814yes—
513C22×C3C22×D1211yescharacteristic
514C22×C3C2×#23511yescharacteristic
515C22×C3C2×#23511yescharacteristic
516C22×C3C2×#23511yescharacteristic
517C22×C3C2×#23511yescharacteristic
518C22×C3C2×#23511yescharacteristic
519C22×C3C2×D3×D411yescharacteristic
520C22×C3C2×D3×D411yescharacteristic
521C22×C3C2×D3×D411yescharacteristic
522C22×C3C2×#23711yescharacteristic
523C22×C3C2×#23711yescharacteristic
524C22×C3C2×#23711yescharacteristic
525C22×C3C2×#23911yescharacteristic
526C22×C3C2×#23911yescharacteristic
527C2×D3—68no—
528C2×D3—64no—
529C2×D3—64no—
530C2×D3—64no—
531C2×D3—64no—
532C2×D3—64no—
533C2×D3—64no—
534C2×D3—124no—
535C2×D3—124no—
536C2×D3—124no—
537C2×D3—124no—
538C2×D3—124no—
539C2×D3—124no—
540C2×D3—1232no—
541C2×D3—1216no—
542C2×D3—1216no—
543C2×D3—122no—
544C2×D3—122no—
545C2×D3—122no—
546C2×D3—122no—
547C2×D3—122no—
548C2×D3—122no—
549C2×D3—122no—
550C2×D3—122no—
551C3×C4—44no—
552C3×C4—42no—
553C3×C4—42no—
554C3×C4—64no—
555C3×C4—122no—
556C3×C4—122no—
557C3×C4—122no—
558Dic3—24no—
559Dic3—42no—
560Dic3—42no—
561Dic3—42no—
562Dic3—124no—
563Dic3—122no—
564Dic3—122no—
565C32C2×#39711yescharacteristic, complemented, Sylow
566C23—94no—
567C23—182no—
568C23—182no—
569C23—182no—
570C23—182no—
571C23—182no—
572C23—182no—
573C23—188no—
574C23—188no—
575C23—188no—
576C23—364no—
577C23—364no—
578C23—364no—
579C23—364no—
580C23#379612yes—
581C23#379812yes—
582C23#379912yes—
583C23D3×D1212yes—
584C23#380412yes—
585C23#380412yes—
586C23#381112yes—
587C23C22×D3211yescharacteristic
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—34no—
592C2×C4—44no—
593C2×C4—62no—
594C2×C4—62no—
595C2×C4—68no—
596C2×C4—62no—
597C2×C4—62no—
598C2×C4—62no—
599C2×C4—62no—
600C2×C4—62no—
601C2×C4—62no—
602C2×C4—62no—
603C2×C4—62no—
604C2×C4—62no—
605C2×C4—124no—
606C2×C4—124no—
607C2×C4—124no—
608C2×C4—182no—
609C2×C4—182no—
610C2×C4—182no—
611C2×C4—364no—
612C2×C3—21no—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—21no—
618C2×C3—21no—
619C2×C3—28no—
620C2×C3#467418yescomplemented
621C2×C3#467518yescomplemented
622C2×C3C2×#87511yescharacteristic
623C2×C3C2×#87611yescharacteristic
624C2×C3C2×#88311yescharacteristic
625C2×C3C2×#88311yescharacteristic
626C2×C3C2×#88311yescharacteristic
627C2×C3C2×#88411yescharacteristic
628C2×C3C2×#88511yescharacteristic
629C2×C3C2×#88611yescharacteristic
630C2×C3C2×#89411yescharacteristic
631C2×C3C2×#89411yescharacteristic
632C2×C3C2×#89511yescharacteristic
633C2×C3C2×#89811yescharacteristic
634C2×C3C2×#89811yescharacteristic
635C2×C3C2×#89811yescharacteristic
636D3—128no—
637D3—124no—
638D3—124no—
639C22—184no—
640C22—184no—
641C22—184no—
642C22—362no—
643C22—362no—
644C22—362no—
645C22—362no—
646C22—3616no—
647C22#6384814yes—
648C22#6385214yes—
649C22#6385314yes—
650C22#6386814yes—
651C22#6389014yes—
652C22#6391014yes—
653C22#6397514yes—
654C22C2×#379611yescharacteristic
655C22C2×#379811yescharacteristic
656C22C2×#379911yescharacteristic
657C22C2×D3×D1211yescharacteristic
658C22C2×#380411yescharacteristic
659C22C2×#380411yescharacteristic
660C22C2×#381111yescharacteristic
661C4—42no—
662C4—64no—
663C4—122no—
664C4—122no—
665C4—122no—
666C4—362no—
667C3—21no—
668C3C2×#467411yescharacteristic, complemented
669C3C2×#467511yescharacteristic, complemented
670C2—364no—
671C2#1059120818yesdirect product factor
672C2C2×#6384811yescharacteristic
673C2C2×#6385211yescharacteristic
674C2C2×#6385311yescharacteristic
675C2C2×#6386811yescharacteristic
676C2C2×#6389011yescharacteristic
677C2C2×#6391011yescharacteristic
678C2C2×#6397511yescharacteristic
subgroupG/H
centerC24C2×D32
commutator, cosocleC23×C32C24
FrattiniC23C22×D32
FittingC23×C32×C4C22
socleC24×C32C23
prime radicalC24×C3⋊D3C22
hypercenterC23×C4D32
hypocenterC32C2×#397
LCSG ▷ C23×C32 ▷ C32
UCSC1 ◁ C24 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C22×Dic3⋊Dic3C2semidirect
5. C2×C3×C3⋊#95C2semidirect
6. C2×C3×C3⋊#95C2semidirect
7. C2×#63579C2semidirect
8. #10591208C2direct (N × H)
21. C2×Dic3⋊Dic3C22semidirect
26. C3×C3⋊#95C22semidirect
27. C3×C3⋊#95C22semidirect
28. #63579C22semidirect
42. C2×C3⋊#95D3semidirect
43. C2×C3⋊#95D3semidirect
123. C3⋊#95C2×D3semidirect
124. C3⋊#95C2×D3semidirect
439. C2×C32#397semidirect
565. C32C2×#397semidirect
620. C2×C3#4674semidirect
621. C2×C3#4675semidirect
668. C3C2×#4674semidirect
669. C3C2×#4675semidirect
671. C2#10591208direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#37522
C22×Dic3⋊Dic32
C22×#37222
C2×C3×C3⋊#952
C2×#635792
#105912082
C2×#46753
C2×#46743