Finite Group Databasebeta

← C3×#80943 #11868021

Subgroups — C3×#80943 #11868021

Order 1152.

954 conjugacy classes of subgroups.

The subgroup lattice has 707 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5777C212yesmaximal, complemented
2C2×C3×#919C211yesmaximal, characteristic, complemented
3C3×D3×#131C211yesmaximal, characteristic, complemented
4C32×#473C211yesmaximal, characteristic, complemented
5C3×#5203C212yesmaximal, complemented
6C3×#5192C211yesmaximal, characteristic, complemented
7C3×#5142C211yesmaximal, characteristic, complemented
8C3×#4897C211yesmaximal, characteristic, complemented
9C3×D3×#108C211yesmaximal, characteristic, complemented
10C3×#4754C212yesmaximal, complemented
11C3×#4751C212yesmaximal, complemented
12C3×#3067—31nomaximal
13#80943C311yesmaximal, characteristic, direct product factor
14C3×D3×#41C2211yescharacteristic
15C2×C3×#239C2212yes—
16C32×#137C2212yes—
17C2×C32×Q16C2211yescharacteristic, complemented
18C32×#131C2211yescharacteristic
19C3×#949C2212yes—
20C3×#948C2211yescharacteristic
21C3×#942C2212yes—
22C2×C3×#215C2212yescomplemented
23C3×#919—22no—
24C3×#919—21no—
25C3×#919—21no—
26C3×#919—21no—
27C3×#919—21no—
28C3×#918—22no—
29C3×#916—22no—
30C3×#914—22no—
31C3×#908C2212yes—
32C3×#907—21no—
33C3×#907C2211yescharacteristic
34C3×D3×M16—21no—
35C3×D3×M16C2211yescharacteristic
36C3×D3×M16C2212yes—
37C2×C3×D24C2211yescharacteristic, complemented
38C3×#901—21no—
39C3×#901C2211yescharacteristic
40C2×C3×D3×C8—21no—
41C2×C3×D3×C8C2211yescharacteristic
42C32×#108C2211yescharacteristic, complemented
43C32×#101C2212yescomplemented
44C3×#836C2212yescomplemented
45C3×#823C2212yescomplemented
46C3×#823C2212yescomplemented
47C3×#822C2212yescomplemented
48C3×#819C2211yescharacteristic, complemented
49C3×#575—32no—
50C2×C3×#135—31no—
51C2×C3×#131—31no—
52#5777C2×C312yescomplemented
53C2×#919C2×C311yescharacteristic, complemented
54D3×#131C2×C311yescharacteristic, complemented
55C3×#473—21no—
56C3×#473—31no—
57C3×#473D311yescharacteristic, complemented
58C3×#473C2×C311yescharacteristic, complemented
59C3×#472—31no—
60C3×#472—31no—
61C3×#471—32no—
62C3×#471—32no—
63C2×C3×#108—31no—
64C3×#413—32no—
65#5203C2×C312yescomplemented
66#5192C2×C311yescharacteristic, complemented
67#5142C2×C311yescharacteristic, complemented
68#4897C2×C311yescharacteristic, complemented
69D3×#108C2×C311yescharacteristic, complemented
70#4754C2×C312yescomplemented
71#4751C2×C312yescomplemented
72C32×#41C2311yescharacteristic
73C2×C32×Q8C2312yes—
74C3×#239—22no—
75C3×#239—22no—
76C3×#239—22no—
77C3×#239—22no—
78C3×#239D411yescharacteristic
79C3×D3×Q8D411yescharacteristic
80C3×#237—21no—
81C3×#237D411yescharacteristic
82C3×D3×D4—21no—
83C3×D3×D4D411yescharacteristic
84C3×#235—21no—
85C3×#235C2311yescharacteristic
86C2×C3×D12—22no—
87C2×C3×D12C2312yes—
88C2×C3×C4×D3—21no—
89C2×C3×C4×D3—22no—
90C2×C3×C4×D3C2311yescharacteristic
91C32×Q16—22no—
92C32×Q16—21no—
93C32×Q16—21no—
94C32×SD16—22no—
95C32×M16—21no—
96C32×M16C2311yescharacteristic
97C32×M16C2312yes—
98C2×C32×C8—21no—
99C2×C32×C8C2311yescharacteristic
100C3×#216—22no—
101C3×#215—22no—
102C3×#215—22no—
103C3×#215—22no—
104C3×#215—22no—
105C3×#213—22no—
106C3×#208—21no—
107C3×#208C2311yescharacteristic
108C3×#208C2312yes—
109C2×C3×C3⋊C8—21no—
110C2×C3×C3⋊C8C2311yescharacteristic
111C3×D24—22no—
112C3×D24—21no—
113C3×D24—21no—
114C3×#204—22no—
115C3×ΓL(1,𝔽25)—21no—
116C3×ΓL(1,𝔽25)—22no—
117C3×ΓL(1,𝔽25)—21no—
118C3×ΓL(1,𝔽25)—21no—
119C3×D3×C8—21no—
120C3×D3×C8—22no—
121C3×D3×C8—21no—
122C3×D3×C8—21no—
123C3×D3×C8D411yescharacteristic
124C3×D3×C8D411yescharacteristic
125C3×D3×C8D411yescharacteristic
126C3×D3×C8D411yescharacteristic
127#3067—31noSylow
128C2×C3×#41—31no—
129C2×C3×#41—32no—
130D3×#41C22×C311yescharacteristic
131C2×#239C22×C312yes—
132C3×#137—22no—
133C3×#137—32no—
134C3×#137—62no—
135C3×#137C2×D312yes—
136C3×#137C22×C312yes—
137C3×AGL(1,ℤ/8)—32no—
138C3×AGL(1,ℤ/8)—32no—
139C3×AGL(1,ℤ/8)—62no—
140C3×#135—61no—
141C3×#135—61no—
142C3×#135—61no—
143C3×#135—61no—
144C3×#135—62no—
145C3×#135—62no—
146C2×C3×Q16—21no—
147C2×C3×Q16C2×D311yescharacteristic, complemented
148C2×C3×Q16C22×C311yescharacteristic, complemented
149C2×C3×SD16—32no—
150C2×C3×D8—31no—
151C3×#131—21no—
152C3×#131—31no—
153C3×#131—31no—
154C3×#131—31no—
155C3×#131—61no—
156C3×#131—61no—
157C3×#131C2×D311yescharacteristic
158C3×#131C22×C311yescharacteristic
159C2×C3×M16—31no—
160C2×C3×M16—32no—
161C2×C3×M16—61no—
162C22×C3×C8—31no—
163C22×C3×C8—61no—
164#949C22×C312yes—
165#948C22×C311yescharacteristic
166#942C22×C312yes—
167C2×#215C22×C312yescomplemented
168#919—22no—
169#919—21no—
170#919—21no—
171#919—21no—
172#919—21no—
173#918—22no—
174#916—22no—
175#914—22no—
176#908C22×C312yes—
177#907—21no—
178#907C22×C311yescharacteristic
179D3×M16—21no—
180D3×M16C22×C312yes—
181D3×M16C22×C311yescharacteristic
182C2×D24C22×C311yescharacteristic, complemented
183#901—21no—
184#901C22×C311yescharacteristic
185C2×D3×C8—21no—
186C2×D3×C8C22×C311yescharacteristic
187C3×#108—21no—
188C3×#108—32no—
189C3×#108—31no—
190C3×#108C2×D311yescharacteristic, complemented
191C3×#108C22×C311yescharacteristic, complemented
192C3×#101—22no—
193C3×#101—32no—
194C3×#101C2×D312yescomplemented
195C3×#101C22×C312yescomplemented
196C3×#100—32no—
197C3×#100—32no—
198#836C22×C312yescomplemented
199#823C22×C312yescomplemented
200#823C22×C312yescomplemented
201#822C22×C312yescomplemented
202#819C22×C311yescharacteristic, complemented
203C22×C3×D3—21no—
204C22×C3×D3—22no—
205C22×C3×D3#4111yescharacteristic
206C32×Q8—22no—
207C32×Q8—22no—
208C32×Q8C2×D411yescharacteristic
209C32×D4—21no—
210C32×D4C2×D411yescharacteristic
211C2×C32×C4—21no—
212C2×C32×C4—22no—
213C2×C32×C4C2411yescharacteristic
214C3×#67—21no—
215C3×#67—21no—
216C3×#67—21no—
217C2×C3×Dic3—21no—
218C2×C3×Dic3#4111yescharacteristic
219C3×D12—21no—
220C3×D12—22no—
221C3×D12—22no—
222C3×D12—42no—
223C3×D12—42no—
224C3×D12C2×D411yescharacteristic
225C3×C4×D3—21no—
226C3×C4×D3—21no—
227C3×C4×D3—21no—
228C3×C4×D3—42no—
229C3×C4×D3—42no—
230C3×C4×D3C2×D411yescharacteristic
231C3×C4×D3C2×D411yescharacteristic
232C3×C4×D3C2×D411yescharacteristic
233C3×C4×D3C2×D411yescharacteristic
234C3×Dic6—21no—
235C3×Dic6C2×D411yescharacteristic
236C32×C8—21no—
237C32×C8—22no—
238C32×C8C2×D411yescharacteristic
239C32×C8C2×D411yescharacteristic
240C3×C3⋊C8—21no—
241C3×C3⋊C8—22no—
242C3×C3⋊C8C2×D411yescharacteristic
243C3×C3⋊C8C2×D411yescharacteristic
244#575—32no—
245C2×#135—31no—
246C2×#131—31no—
247#473—31no—
248#473C3×D311yescharacteristic, complemented
249#472—31no—
250#472—31no—
251#471—32no—
252#471—32no—
253C2×#108—31no—
254#413—32no—
255C3×#41—21no—
256C3×#41—31no—
257C3×#41—31no—
258C3×#41—31no—
259C3×#41—61no—
260C3×#41—61no—
261C3×#41—62no—
262C3×#41—62no—
263C3×#41—62no—
264C3×#41—62no—
265C3×#41C22×D311yescharacteristic
266C3×#41C23×C311yescharacteristic
267C2×C3×Q8—22no—
268C2×C3×Q8—31no—
269C2×C3×Q8C22×D312yes—
270C2×C3×Q8C23×C312yes—
271C2×C3×D4—31no—
272C2×C3×D4—32no—
273C2×C3×D4—62no—
274C2×C3×D4—61no—
275C22×C3×C4—31no—
276C22×C3×C4—61no—
277C22×C3×C4—62no—
278#239—22no—
279#239—22no—
280#239—22no—
281#239—22no—
282#239C3×D411yescharacteristic
283D3×Q8C3×D411yescharacteristic
284#237—21no—
285#237C3×D411yescharacteristic
286D3×D4—21no—
287D3×D4C3×D411yescharacteristic
288#235—21no—
289#235C23×C311yescharacteristic
290C2×D12—22no—
291C2×D12C23×C312yes—
292C2×C4×D3—21no—
293C2×C4×D3—22no—
294C2×C4×D3C23×C311yescharacteristic
295C3×Q16—22no—
296C3×Q16—22no—
297C3×Q16—21no—
298C3×Q16—21no—
299C3×Q16—21no—
300C3×Q16—21no—
301C3×Q16—41no—
302C3×Q16—41no—
303C3×Q16—42no—
304C3×Q16—62no—
305C3×SD16—22no—
306C3×SD16—22no—
307C3×SD16—42no—
308C3×SD16—62no—
309C3×SD16—62no—
310C3×SD16—62no—
311C3×SD16—62no—
312C3×SD16—62no—
313C3×D8—62no—
314C3×D8—62no—
315C3×D8—61no—
316C3×D8—61no—
317C3×M16—21no—
318C3×M16—21no—
319C3×M16—21no—
320C3×M16—22no—
321C3×M16—31no—
322C3×M16—32no—
323C3×M16—41no—
324C3×M16—61no—
325C3×M16—61no—
326C3×M16—62no—
327C3×M16—61no—
328C3×M16—61no—
329C3×M16C22×D311yescharacteristic
330C3×M16C22×D312yes—
331C3×M16C23×C312yes—
332C3×M16C23×C311yescharacteristic
333C2×C3×C8—21no—
334C2×C3×C8—21no—
335C2×C3×C8—21no—
336C2×C3×C8—31no—
337C2×C3×C8—31no—
338C2×C3×C8—31no—
339C2×C3×C8—31no—
340C2×C3×C8—31no—
341C2×C3×C8—41no—
342C2×C3×C8—61no—
343C2×C3×C8—61no—
344C2×C3×C8—62no—
345C2×C3×C8—61no—
346C2×C3×C8—61no—
347C2×C3×C8C22×D311yescharacteristic
348C2×C3×C8C23×C311yescharacteristic
349#216—22no—
350#215—22no—
351#215—22no—
352#215—22no—
353#215—22no—
354#213—22no—
355#208—21no—
356#208C23×C312yes—
357#208C23×C311yescharacteristic
358C2×C3⋊C8—21no—
359C2×C3⋊C8C23×C311yescharacteristic
360D24—22no—
361D24—21no—
362D24—21no—
363#204—22no—
364ΓL(1,𝔽25)—21no—
365ΓL(1,𝔽25)—22no—
366ΓL(1,𝔽25)—21no—
367ΓL(1,𝔽25)—21no—
368D3×C8—21no—
369D3×C8—22no—
370D3×C8—21no—
371D3×C8—21no—
372D3×C8C3×D411yescharacteristic
373D3×C8C3×D411yescharacteristic
374D3×C8C3×D411yescharacteristic
375D3×C8C3×D411yescharacteristic
376C22×C32—21no—
377C22×C32C2×#4111yescharacteristic
378C2×C3×D3—21no—
379C2×C3×D3—41no—
380C2×C3×D3—42no—
381C2×C3×D3—42no—
382C2×C3×D3—82no—
383C2×C3×D3#12111yescharacteristic
384C2×C3×D3#12111yescharacteristic
385C32×C4—21no—
386C32×C4—42no—
387C32×C4C22×D411yescharacteristic
388C32×C4C22×D411yescharacteristic
389C3×Dic3—21no—
390C3×Dic3#12111yescharacteristic
391C3×Dic3#12111yescharacteristic
392C2×#41—31no—
393C2×#41—32no—
394#137—32no—
395#137—62no—
396#137C2×C3×D312yes—
397AGL(1,ℤ/8)—32no—
398AGL(1,ℤ/8)—32no—
399AGL(1,ℤ/8)—62no—
400#135—61no—
401#135—61no—
402#135—61no—
403#135—61no—
404#135—62no—
405#135—62no—
406C2×Q16C2×C3×D311yescharacteristic, complemented
407C2×SD16—32no—
408C2×D8—31no—
409#131—31no—
410#131—31no—
411#131—31no—
412#131—61no—
413#131—61no—
414#131C2×C3×D311yescharacteristic
415C2×M16—31no—
416C2×M16—32no—
417C2×M16—61no—
418C22×C8—31no—
419C22×C8—61no—
420#108—32no—
421#108—31no—
422#108C2×C3×D311yescharacteristic, complemented
423#101—32no—
424#101C2×C3×D312yescomplemented
425#100—32no—
426#100—32no—
427C23×C3—31no—
428C23×C3—61no—
429C23×C3—62no—
430C22×D3—21no—
431C22×D3—22no—
432C22×D3C3×#4111yescharacteristic
433C3×Q8—22no—
434C3×Q8—22no—
435C3×Q8—22no—
436C3×Q8—22no—
437C3×Q8—21no—
438C3×Q8—31no—
439C3×Q8—42no—
440C3×Q8—42no—
441C3×Q8—61no—
442C3×Q8D3×D411yescharacteristic
443C3×Q8C2×C3×D411yescharacteristic
444C3×D4—21no—
445C3×D4—21no—
446C3×D4—21no—
447C3×D4—31no—
448C3×D4—41no—
449C3×D4—61no—
450C3×D4—61no—
451C3×D4—61no—
452C3×D4—61no—
453C3×D4—62no—
454C3×D4—62no—
455C3×D4—122no—
456C3×D4—122no—
457C3×D4D3×D411yescharacteristic
458C3×D4C2×C3×D411yescharacteristic
459C2×C3×C4—21no—
460C2×C3×C4—21no—
461C2×C3×C4—22no—
462C2×C3×C4—22no—
463C2×C3×C4—21no—
464C2×C3×C4—31no—
465C2×C3×C4—31no—
466C2×C3×C4—31no—
467C2×C3×C4—31no—
468C2×C3×C4—31no—
469C2×C3×C4—41no—
470C2×C3×C4—42no—
471C2×C3×C4—61no—
472C2×C3×C4—61no—
473C2×C3×C4—61no—
474C2×C3×C4—61no—
475C2×C3×C4—122no—
476C2×C3×C4—122no—
477C2×C3×C4C23×D311yescharacteristic
478C2×C3×C4C24×C311yescharacteristic
479#67—21no—
480#67—21no—
481#67—21no—
482C2×Dic3—21no—
483C2×Dic3C3×#4111yescharacteristic
484D12—21no—
485D12—22no—
486D12—22no—
487D12—42no—
488D12—42no—
489D12C2×C3×D411yescharacteristic
490C4×D3—21no—
491C4×D3—21no—
492C4×D3—21no—
493C4×D3—42no—
494C4×D3—42no—
495C4×D3C2×C3×D411yescharacteristic
496C4×D3C2×C3×D411yescharacteristic
497C4×D3C2×C3×D411yescharacteristic
498C4×D3C2×C3×D411yescharacteristic
499Dic6—21no—
500Dic6C2×C3×D411yescharacteristic
501C3×C8—21no—
502C3×C8—22no—
503C3×C8—21no—
504C3×C8—22no—
505C3×C8—21no—
506C3×C8—21no—
507C3×C8—31no—
508C3×C8—31no—
509C3×C8—41no—
510C3×C8—42no—
511C3×C8—61no—
512C3×C8—62no—
513C3×C8D3×D411yescharacteristic
514C3×C8D3×D411yescharacteristic
515C3×C8C2×C3×D411yescharacteristic
516C3×C8C2×C3×D411yescharacteristic
517C3⋊C8—21no—
518C3⋊C8—22no—
519C3⋊C8C2×C3×D411yescharacteristic
520C3⋊C8C2×C3×D411yescharacteristic
521C2×C32—21no—
522C2×C32—41no—
523C2×C32C2×#12111yescharacteristic
524C3×D3—21no—
525C3×D3—21no—
526C3×D3—41no—
527C3×D3—82no—
528#41—31no—
529#41—31no—
530#41—31no—
531#41—61no—
532#41—61no—
533#41—62no—
534#41—62no—
535#41—62no—
536#41—62no—
537#41C22×C3×D311yescharacteristic
538C2×Q8—31no—
539C2×Q8C22×C3×D312yes—
540C2×D4—31no—
541C2×D4—32no—
542C2×D4—62no—
543C2×D4—61no—
544C22×C4—31no—
545C22×C4—61no—
546C22×C4—62no—
547Q16—22no—
548Q16—21no—
549Q16—21no—
550Q16—62no—
551SD16—22no—
552SD16—62no—
553SD16—62no—
554SD16—62no—
555SD16—62no—
556SD16—62no—
557D8—62no—
558D8—62no—
559D8—61no—
560D8—61no—
561M16—21no—
562M16—31no—
563M16—32no—
564M16—61no—
565M16—61no—
566M16—62no—
567M16—61no—
568M16—61no—
569M16C22×C3×D311yescharacteristic
570M16C22×C3×D312yes—
571C2×C8—21no—
572C2×C8—31no—
573C2×C8—31no—
574C2×C8—31no—
575C2×C8—31no—
576C2×C8—31no—
577C2×C8—61no—
578C2×C8—61no—
579C2×C8—62no—
580C2×C8—61no—
581C2×C8—61no—
582C2×C8C22×C3×D311yescharacteristic
583C22×C3—21no—
584C22×C3—21no—
585C22×C3—21no—
586C22×C3—31no—
587C22×C3—31no—
588C22×C3—41no—
589C22×C3—61no—
590C22×C3—121no—
591C22×C3—122no—
592C22×C3—122no—
593C22×C3—242no—
594C22×C3D3×#4111yescharacteristic
595C22×C3C2×C3×#4111yescharacteristic
596C2×D3—21no—
597C2×D3—41no—
598C2×D3—42no—
599C2×D3—42no—
600C2×D3—82no—
601C2×D3C3×#12111yescharacteristic
602C2×D3C3×#12111yescharacteristic
603C3×C4—21no—
604C3×C4—21no—
605C3×C4—21no—
606C3×C4—21no—
607C3×C4—31no—
608C3×C4—31no—
609C3×C4—41no—
610C3×C4—42no—
611C3×C4—42no—
612C3×C4—61no—
613C3×C4—82no—
614C3×C4C2×D3×D411yescharacteristic
615C3×C4C2×D3×D411yescharacteristic
616C3×C4C22×C3×D411yescharacteristic
617C3×C4C22×C3×D411yescharacteristic
618Dic3—21no—
619Dic3C3×#12111yescharacteristic
620Dic3C3×#12111yescharacteristic
621C32#306711yescharacteristic, complemented, Sylow
622C23—31no—
623C23—61no—
624C23—62no—
625Q8—22no—
626Q8—22no—
627Q8—31no—
628Q8—61no—
629Q8C3×D3×D411yescharacteristic
630D4—21no—
631D4—31no—
632D4—61no—
633D4—61no—
634D4—61no—
635D4—61no—
636D4—62no—
637D4—62no—
638D4—122no—
639D4—122no—
640D4C3×D3×D411yescharacteristic
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—31no—
644C2×C4—31no—
645C2×C4—31no—
646C2×C4—31no—
647C2×C4—31no—
648C2×C4—61no—
649C2×C4—61no—
650C2×C4—61no—
651C2×C4—61no—
652C2×C4—122no—
653C2×C4—122no—
654C2×C4C23×C3×D311yescharacteristic
655C8—21no—
656C8—22no—
657C8—31no—
658C8—31no—
659C8—61no—
660C8—62no—
661C8C3×D3×D411yescharacteristic
662C8C3×D3×D411yescharacteristic
663C2×C3—21no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—41no—
667C2×C3—41no—
668C2×C3—41no—
669C2×C3—61no—
670C2×C3—61no—
671C2×C3—81no—
672C2×C3—121no—
673C2×C3—242no—
674C2×C3D3×#12111yescharacteristic
675C2×C3C2×C3×#12111yescharacteristic
676D3—21no—
677D3—21no—
678D3—41no—
679D3—82no—
680C22—21no—
681C22—31no—
682C22—31no—
683C22—61no—
684C22—121no—
685C22—122no—
686C22—122no—
687C22—242no—
688C22C3×D3×#4111yescharacteristic
689C4—21no—
690C4—31no—
691C4—31no—
692C4—42no—
693C4—61no—
694C4C2×C3×D3×D411yescharacteristic
695C4C2×C3×D3×D411yescharacteristic
696C3—21no—
697C3#8094311yescharacteristic, direct product factor
698C3C3×#306711yescharacteristic, complemented
699C2—21no—
700C2—41no—
701C2—61no—
702C2—61no—
703C2—121no—
704C2—242no—
705C2C3×D3×#12111yescharacteristic
subgroupG/H
centerC2×C3D3×#121
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#473C2
socleC2×C32C2×#121
hypercenterC3×#473D3
hypocenterC3C3×#3067
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C3 ◁ C2×C3×C4 ◁ C3×#473

Complements

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

NH ≅ G/Ntype
1. C3×#5777C2semidirect
2. C2×C3×#919C2semidirect
3. C3×D3×#131C2semidirect
4. C32×#473C2semidirect
5. C3×#5203C2semidirect
6. C3×#5192C2semidirect
7. C3×#5142C2semidirect
8. C3×#4897C2semidirect
9. C3×D3×#108C2semidirect
10. C3×#4754C2semidirect
11. C3×#4751C2semidirect
13. #80943C3direct (N × H)
17. C2×C32×Q16C22semidirect
22. C2×C3×#215C22semidirect
37. C2×C3×D24C22semidirect
42. C32×#108C22semidirect
43. C32×#101C22semidirect
44. C3×#836C22semidirect
45. C3×#823C22semidirect
46. C3×#823C22semidirect
47. C3×#822C22semidirect
48. C3×#819C22semidirect
52. #5777C2×C3semidirect
53. C2×#919C2×C3semidirect
54. D3×#131C2×C3semidirect
57. C3×#473D3semidirect
58. C3×#473C2×C3semidirect
65. #5203C2×C3semidirect
66. #5192C2×C3semidirect
67. #5142C2×C3semidirect
68. #4897C2×C3semidirect
69. D3×#108C2×C3semidirect
70. #4754C2×C3semidirect
71. #4751C2×C3semidirect
147. C2×C3×Q16C2×D3semidirect
148. C2×C3×Q16C22×C3semidirect
167. C2×#215C22×C3semidirect
182. C2×D24C22×C3semidirect
190. C3×#108C2×D3semidirect
191. C3×#108C22×C3semidirect
194. C3×#101C2×D3semidirect
195. C3×#101C22×C3semidirect
198. #836C22×C3semidirect
199. #823C22×C3semidirect
200. #823C22×C3semidirect
201. #822C22×C3semidirect
202. #819C22×C3semidirect
248. #473C3×D3semidirect
406. C2×Q16C2×C3×D3semidirect
422. #108C2×C3×D3semidirect
424. #101C2×C3×D3semidirect
621. C32#3067semidirect
697. C3#80943direct (N × H)
698. C3C3×#3067semidirect

Maximal subgroups

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

subgroupindex
C3×#57772
C2×C3×#9192
C3×D3×#1312
C32×#4732
C3×#52032
C3×#51922
C3×#51422
C3×#48972
C3×D3×#1082
C3×#47542
C3×#47512
C3×#30673
#809433