Finite Group Databasebeta

← C3×#72213396 #72270288

Subgroups — C3×#72213396 #72270288

Order 3072.

7840 conjugacy classes of subgroups.

The subgroup lattice has 2464 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#106740C212yesmaximal, complemented
2C3×#128057C212yesmaximal, complemented
3C3×#493372C211yesmaximal, characteristic
4C3×#359513C211yesmaximal, characteristic
5C3×#581603C211yesmaximal, characteristic
6#72213396C311yesmaximal, characteristic, direct product factor, Sylow
7C22×C3×#535C2211yescharacteristic
8C3×#60064C2211yescharacteristic
9C2×C3×#2328—21no—
10C2×C3×#2128C414yescomplemented
11C2×C3×#1910—22no—
12C3×#20598—21no—
13C3×#20584C2211yescharacteristic
14C3×#20584C2212yes—
15C3×#14662C411yescharacteristic, complemented
16C3×#14473C412yescomplemented
17C3×#14419—21no—
18C3×#14363—22no—
19C3×#14357—22no—
20C3×#14169C411yescharacteristic, complemented
21C3×#14023—22no—
22C3×#13967—22no—
23C3×#13957—21no—
24C3×#13956C2212yes—
25C3×#13867—21no—
26C3×#12697—22no—
27C3×#12693—21no—
28C3×#12693—21no—
29C3×#10987C414yescomplemented
30C3×#10716—21no—
31C3×#8020—22no—
32C3×#7943—22no—
33C3×#7307—22no—
34C3×#7307—22no—
35#581603C2×C311yescharacteristic
36#493372C2×C311yescharacteristic
37#359513C2×C311yescharacteristic
38#128057C2×C312yescomplemented
39#106740C2×C312yescomplemented
40C23×C3×#41C2311yescharacteristic
41C24×C3×D4D411yescharacteristic
42C2×C3×#568—21no—
43C2×C3×#535—22no—
44C2×C3×#535—22no—
45C2×C3×#535—48no—
46C2×C3×#535C2×C412yes—
47C2×C3×#535C2×C412yes—
48C2×C3×#535D412yes—
49C2×C3×#535Q812yes—
50C22×C3×#127D411yescharacteristic
51C22×C3×#127D411yescharacteristic
52C22×C3×#124C2×C411yescharacteristic
53C22×C3×#124C2×C411yescharacteristic
54C22×C3×#121—22no—
55C22×C3×#120—22no—
56C22×C3×C4×D4—22no—
57C22×C3×#117D411yescharacteristic
58C23×C3×C22⋊C4—21no—
59C2×C3×#418—24no—
60C2×C3×#410—21no—
61C2×C3×#410—22no—
62C2×C3×#410C2×C414yescomplemented
63C2×C3×#410C2×C412yescomplemented
64C3×#2880—44no—
65C3×#2879—22no—
66C3×#2879C2×C412yescomplemented
67C2×C3×#407—21no—
68C2×C3×#407—22no—
69C3×#2328—48no—
70C2×C3×#390—22no—
71C2×C3×#386—22no—
72C2×C3×#386—22no—
73C2×C3×#386—22no—
74C2×C3×#386—22no—
75C2×C3×#386—22no—
76C2×C3×#386—22no—
77C2×C3×#386—22no—
78C2×C3×#386—22no—
79C2×C3×#382—21no—
80C3×#2280—22no—
81C3×#2280—21no—
82C2×C3×#381D412yes—
83C2×C3×#379—21no—
84C2×C3×#379—22no—
85C2×C3×#376—21no—
86C22×C3×#95D412yes—
87C3×#2128—48no—
88C2×C3×#353—24no—
89C2×C3×#353—24no—
90C3×#1910—48no—
91C3×#1786—44no—
92C3×#1782—22no—
93C3×#1782—22no—
94C3×#1782—22no—
95C3×#1781—22no—
96C3×#1781—22no—
97C3×#1781—22no—
98C2×C3×H(3,ℤ/4)—24no—
99C3×#1446C2×C412yes—
100C3×#1446C2×C412yes—
101C3×#1441—22no—
102C3×#1440—22no—
103C3×#1440—22no—
104C3×#1439—22no—
105C3×#1439—22no—
106C3×#1439—22no—
107C3×#1438—22no—
108C3×#1438—21no—
109C3×#1438—22no—
110C3×#1438—21no—
111C3×#1438—21no—
112C3×#1438—21no—
113C3×#1438D412yes—
114C3×#1438D412yes—
115C3×#1437—21no—
116C3×#1437—21no—
117C3×#1437—22no—
118C3×#1437—22no—
119C3×#1436—21no—
120C3×#1436—21no—
121C3×#1434—22no—
122C3×C22⋊#95—22no—
123C3×C22⋊#95—22no—
124C3×C22⋊#95—22no—
125C3×C22⋊#95—22no—
126C3×#1294—44no—
127C3×#1284—44no—
128C22×#535C22×C311yescharacteristic
129#60064C22×C311yescharacteristic
130C2×#2328—21no—
131C2×#2128C3×C414yescomplemented
132C2×#1910—22no—
133#20598—21no—
134#20584C22×C311yescharacteristic
135#20584C22×C312yes—
136#14662C3×C411yescharacteristic, complemented
137#14473C3×C412yescomplemented
138#14419—21no—
139#14363—22no—
140#14357—22no—
141#14169C3×C411yescharacteristic, complemented
142#14023—22no—
143#13967—22no—
144#13957—21no—
145#13956C22×C312yes—
146#13867—21no—
147#12697—22no—
148#12693—21no—
149#12693—21no—
150#10987C3×C414yescomplemented
151#10716—21no—
152#8020—22no—
153#7943—22no—
154#7307—22no—
155#7307—22no—
156C26×C3—21no—
157C22×C3×#41—42no—
158C22×C3×#41—42no—
159C22×C3×#41—44no—
160C22×C3×#41—82no—
161C22×C3×#41C22×C411yescharacteristic
162C22×C3×#41C22×C411yescharacteristic
163C22×C3×#41C2×D411yescharacteristic
164C22×C3×#41C2×Q811yescharacteristic
165C22×C3×#41#4112yes—
166C22×C3×#41#4112yes—
167C23×C3×Q8C22×C411yescharacteristic
168C23×C3×D4—21no—
169C23×C3×D4—21no—
170C23×C3×D4—21no—
171C23×C3×D4—22no—
172C23×C3×D4—22no—
173C23×C3×D4—44no—
174C23×C3×D4—42no—
175C23×C3×D4—42no—
176C23×C3×D4—82no—
177C23×C3×D4C22⋊C411yescharacteristic
178C23×C3×D4C22⋊C412yes—
179C23×C3×D4C22⋊C411yescharacteristic
180C23×C3×D4C4⋊C412yes—
181C23×C3×D4C2×D411yescharacteristic
182C23×C3×D4C2×D412yes—
183C24×C3×C4—22no—
184C24×C3×C4—22no—
185C24×C3×C4C2×D411yescharacteristic
186C24×C3×C4C2×D412yes—
187C3×#568—44no—
188C3×#568—82no—
189C2×C3×#131—44no—
190C22×C3×M16—22no—
191C22×C3×M16—42no—
192C3×#535—28no—
193C3×#535—28no—
194C3×#535—44no—
195C3×#535—44no—
196C3×#535—44no—
197C3×#535—44no—
198C3×#535—44no—
199C3×#535—44no—
200C3×#535—416no—
201C3×#535—416no—
202C2×C3×#127—22no—
203C2×C3×#127—28no—
204C2×C3×#127—22no—
205C2×C3×#127—44no—
206C2×C3×#127C22⋊C412yes—
207C2×C3×#127C22⋊C412yes—
208C2×C3×#127C4⋊C412yes—
209C2×C3×#127C4⋊C412yes—
210C2×C3×#124—22no—
211C2×C3×#124—22no—
212C2×C3×#124—44no—
213C2×C3×#124—44no—
214C2×C3×#124C4212yes—
215C2×C3×#124C4212yes—
216C2×C3×#124C4⋊C412yes—
217C2×C3×#124C4⋊C412yes—
218C2×C3×#121—24no—
219C2×C3×#121—24no—
220C2×C3×#121—24no—
221C2×C3×#121—24no—
222C2×C3×#121—48no—
223C2×C3×#121—48no—
224C2×C3×#120—24no—
225C2×C3×#120—24no—
226C2×C3×#120—24no—
227C2×C3×#120—24no—
228C2×C3×#120—48no—
229C2×C3×#120—48no—
230C2×C3×C4×D4—48no—
231C2×C3×C4×D4—84no—
232C2×C3×C4×D4—84no—
233C2×C3×#117—21no—
234C2×C3×#117—21no—
235C2×C3×#117—22no—
236C2×C3×#117—24no—
237C2×C3×#117—44no—
238C2×C3×#117C22⋊C412yes—
239C2×C3×#117C4⋊C412yes—
240C22×C3×C4⋊C4—21no—
241C22×C3×C4⋊C4—22no—
242C22×C3×C22⋊C4—22no—
243C22×C3×C22⋊C4—22no—
244C22×C3×C22⋊C4—21no—
245C22×C3×C22⋊C4—22no—
246C22×C3×C22⋊C4—22no—
247C22×C3×C22⋊C4—22no—
248C22×C3×C22⋊C4—22no—
249C22×C3×C22⋊C4—21no—
250C22×C3×C22⋊C4—21no—
251C22×C3×C22⋊C4—22no—
252C22×C3×C22⋊C4—21no—
253C22×C3×C22⋊C4—21no—
254C22×C3×C22⋊C4—22no—
255C22×C3×C22⋊C4—22no—
256C22×C3×C22⋊C4—22no—
257C22×C3×C22⋊C4—22no—
258C22×C3×C22⋊C4—22no—
259C22×C3×C22⋊C4—82no—
260C22×C3×C22⋊C4—84no—
261C22×C3×C42—21no—
262C22×C3×C42—21no—
263C22×C3×C42C22⋊C411yescharacteristic
264C22×C3×C42C22⋊C411yescharacteristic
265C3×#418—48no—
266C3×#418—84no—
267C2×C3×#102—48no—
268C3×#410—48no—
269C3×#410—44no—
270C3×#410—84no—
271C3×#410—82no—
272C2×C3×#99—24no—
273C2×C3×#99—24no—
274C2×C3×#99—24no—
275C2×C3×#99—42no—
276C2×C3×#99—42no—
277C2×C3×#99—42no—
278C3×#408—44no—
279C3×#408—48no—
280C3×#407—24no—
281C3×#407—24no—
282C3×#407—42no—
283C3×#407—42no—
284C3×#407—41no—
285C3×#407—41no—
286C2×C3×C22⋊C8—24no—
287C2×C3×C22⋊C8—24no—
288C2×C3×C22⋊C8—42no—
289C3×#390—48no—
290C3×#386—48no—
291C3×#386—48no—
292C3×#386—48no—
293C3×#386—48no—
294C3×#386—82no—
295C3×#386—82no—
296C3×#386—84no—
297C3×#386—84no—
298C3×#386—84no—
299C3×#382—44no—
300C3×#381—42no—
301C3×#381—42no—
302C3×#381—42no—
303C3×#381—41no—
304C3×#380—42no—
305C3×#380—42no—
306C3×#380—42no—
307C3×#379—42no—
308C3×#379—41no—
309C3×#379—82no—
310C3×#379—84no—
311C3×C4×C22⋊C4—42no—
312C3×C4×C22⋊C4—42no—
313C3×C4×C22⋊C4—42no—
314C3×#376—44no—
315C2×C3×#95—22no—
316C2×C3×#95—21no—
317C2×C3×#95—21no—
318C2×C3×#95—22no—
319C2×C3×#95—22no—
320C2×C3×#95—22no—
321C2×C3×#95—22no—
322C2×C3×#95—22no—
323C2×C3×#95—22no—
324C2×C3×#95—22no—
325C2×C3×#95—22no—
326C2×C3×#95—22no—
327C2×C3×#95—22no—
328C2×C3×#95—42no—
329C2×C3×#95—42no—
330C2×C3×#95C22⋊C412yes—
331C2×C3×#95C22⋊C412yes—
332C2×C3×#95C22⋊C412yes—
333C2×C3×#95C22⋊C412yes—
334C3×#353—48no—
335C3×#353—48no—
336C3×H(3,ℤ/4)—48no—
337C23×#41C23×C311yescharacteristic
338C24×D4C3×D411yescharacteristic
339C2×#568—21no—
340C2×#535—22no—
341C2×#535—22no—
342C2×#535—48no—
343C2×#535C2×C3×C412yes—
344C2×#535C2×C3×C412yes—
345C2×#535C3×D412yes—
346C2×#535C3×Q812yes—
347C22×#127C3×D411yescharacteristic
348C22×#127C3×D411yescharacteristic
349C22×#124C2×C3×C411yescharacteristic
350C22×#124C2×C3×C411yescharacteristic
351C22×#121—22no—
352C22×#120—22no—
353C22×C4×D4—22no—
354C22×#117C3×D411yescharacteristic
355C23×C22⋊C4—21no—
356C2×#418—24no—
357C2×#410—21no—
358C2×#410—22no—
359C2×#410C2×C3×C414yescomplemented
360C2×#410C2×C3×C412yescomplemented
361#2880—44no—
362#2879—22no—
363#2879C2×C3×C412yescomplemented
364C2×#407—21no—
365C2×#407—22no—
366#2328—48no—
367C2×#390—22no—
368C2×#386—22no—
369C2×#386—22no—
370C2×#386—22no—
371C2×#386—22no—
372C2×#386—22no—
373C2×#386—22no—
374C2×#386—22no—
375C2×#386—22no—
376C2×#382—21no—
377#2280—22no—
378#2280—21no—
379C2×#381C3×D412yes—
380C2×#379—21no—
381C2×#379—22no—
382C2×#376—21no—
383C22×#95C3×D412yes—
384#2128—48no—
385C2×#353—24no—
386C2×#353—24no—
387#1910—48no—
388#1786—44no—
389#1782—22no—
390#1782—22no—
391#1782—22no—
392#1781—22no—
393#1781—22no—
394#1781—22no—
395C2×H(3,ℤ/4)—24no—
396#1446C2×C3×C412yes—
397#1446C2×C3×C412yes—
398#1441—22no—
399#1440—22no—
400#1440—22no—
401#1439—22no—
402#1439—22no—
403#1439—22no—
404#1438—22no—
405#1438—21no—
406#1438—22no—
407#1438—21no—
408#1438—21no—
409#1438—21no—
410#1438C3×D412yes—
411#1438C3×D412yes—
412#1437—21no—
413#1437—21no—
414#1437—22no—
415#1437—22no—
416#1436—21no—
417#1436—21no—
418#1434—22no—
419C22⋊#95—22no—
420C22⋊#95—22no—
421C22⋊#95—22no—
422C22⋊#95—22no—
423#1294—44no—
424#1284—44no—
425C25×C3—21no—
426C25×C3—21no—
427C25×C3—22no—
428C25×C3—22no—
429C25×C3—42no—
430C25×C3—42no—
431C25×C3—44no—
432C25×C3—82no—
433C25×C3—82no—
434C25×C3—82no—
435C25×C3—82no—
436C25×C3—82no—
437C25×C3#12012yes—
438C25×C3#12011yescharacteristic
439C2×C3×#41—24no—
440C2×C3×#41—24no—
441C2×C3×#41—41no—
442C2×C3×#41—41no—
443C2×C3×#41—41no—
444C2×C3×#41—42no—
445C2×C3×#41—41no—
446C2×C3×#41—42no—
447C2×C3×#41—42no—
448C2×C3×#41—42no—
449C2×C3×#41—42no—
450C2×C3×#41—42no—
451C2×C3×#41—42no—
452C2×C3×#41—44no—
453C2×C3×#41—44no—
454C2×C3×#41—42no—
455C2×C3×#41—44no—
456C2×C3×#41—42no—
457C2×C3×#41—42no—
458C2×C3×#41—81no—
459C2×C3×#41—81no—
460C2×C3×#41—82no—
461C2×C3×#41—816no—
462C2×C3×#41—816no—
463C22×C3×Q8—42no—
464C22×C3×Q8—42no—
465C22×C3×Q8—81no—
466C22×C3×Q8C2×C4211yescharacteristic
467C22×C3×Q8C2×C4⋊C411yescharacteristic
468C22×C3×Q8#11712yes—
469C22×C3×D4—28no—
470C22×C3×D4—28no—
471C22×C3×D4—24no—
472C22×C3×D4—24no—
473C22×C3×D4—24no—
474C22×C3×D4—24no—
475C22×C3×D4—24no—
476C22×C3×D4—24no—
477C22×C3×D4—24no—
478C22×C3×D4—24no—
479C22×C3×D4—21no—
480C22×C3×D4—21no—
481C22×C3×D4—22no—
482C22×C3×D4—22no—
483C22×C3×D4—42no—
484C22×C3×D4—42no—
485C22×C3×D4—42no—
486C22×C3×D4—42no—
487C22×C3×D4—42no—
488C22×C3×D4—44no—
489C22×C3×D4—42no—
490C22×C3×D4—42no—
491C22×C3×D4—42no—
492C22×C3×D4—44no—
493C22×C3×D4—42no—
494C22×C3×D4—42no—
495C22×C3×D4—44no—
496C22×C3×D4—44no—
497C22×C3×D4—44no—
498C22×C3×D4—44no—
499C22×C3×D4—44no—
500C22×C3×D4—44no—
501C22×C3×D4—44no—
502C22×C3×D4—42no—
503C22×C3×D4—42no—
504C22×C3×D4—82no—
505C22×C3×D4—81no—
506C22×C3×D4—81no—
507C22×C3×D4—82no—
508C22×C3×D4—81no—
509C22×C3×D4—81no—
510C22×C3×D4—81no—
511C22×C3×D4—82no—
512C22×C3×D4—816no—
513C22×C3×D4—816no—
514C22×C3×D4—82no—
515C22×C3×D4—82no—
516C22×C3×D4—81no—
517C22×C3×D4—81no—
518C22×C3×D4—82no—
519C22×C3×D4—82no—
520C22×C3×D4—82no—
521C22×C3×D4—82no—
522C22×C3×D4—82no—
523C22×C3×D4—82no—
524C22×C3×D4—82no—
525C22×C3×D4#9512yes—
526C22×C3×D4#9512yes—
527C22×C3×D4C2×C22⋊C411yescharacteristic
528C22×C3×D4C2×C4⋊C411yescharacteristic
529C22×C3×D4C4×D412yes—
530C22×C3×D4C4×D412yes—
531C22×C3×D4#12112yes—
532C22×C3×D4C22⋊Q812yes—
533C22×C3×D4#12312yes—
534C23×C3×C4—21no—
535C23×C3×C4—22no—
536C23×C3×C4—22no—
537C23×C3×C4—22no—
538C23×C3×C4—22no—
539C23×C3×C4—22no—
540C23×C3×C4—22no—
541C23×C3×C4—22no—
542C23×C3×C4—21no—
543C23×C3×C4—22no—
544C23×C3×C4—22no—
545C23×C3×C4—22no—
546C23×C3×C4—42no—
547C23×C3×C4—42no—
548C23×C3×C4—44no—
549C23×C3×C4—44no—
550C23×C3×C4—44no—
551C23×C3×C4—44no—
552C23×C3×C4—44no—
553C23×C3×C4—82no—
554C23×C3×C4—82no—
555C23×C3×C4—82no—
556C23×C3×C4—82no—
557C23×C3×C4—82no—
558C23×C3×C4—82no—
559C23×C3×C4—82no—
560C23×C3×C4—82no—
561C23×C3×C4—82no—
562C23×C3×C4—82no—
563C23×C3×C4—82no—
564C23×C3×C4C2×C22⋊C411yescharacteristic
565C23×C3×C4C2×C22⋊C411yescharacteristic
566C23×C3×C4C2×C22⋊C412yes—
567C23×C3×C4C2×C4⋊C411yescharacteristic
568C23×C3×C4C4×D412yes—
569C23×C3×C4C4×D412yes—
570C23×C3×C4#12011yescharacteristic
571C23×C3×C4#12112yes—
572C23×C3×C4C22⋊Q812yes—
573C23×C3×C4#12311yescharacteristic
574C23×C3×C4#12311yescharacteristic
575C3×#131—816no—
576C2×C3×M16—42no—
577C2×C3×M16—44no—
578C2×C3×M16—44no—
579C2×C3×M16—44no—
580C2×C3×M16—42no—
581C2×C3×M16—84no—
582C2×C3×M16—84no—
583C22×C3×C8—24no—
584C22×C3×C8—44no—
585C3×#127—216no—
586C3×#127—24no—
587C3×#127—24no—
588C3×#127—24no—
589C3×#127—24no—
590C3×#127—24no—
591C3×#127—42no—
592C3×#127—42no—
593C3×#127—48no—
594C3×#127#9918yes—
595C3×#124—24no—
596C3×#124—24no—
597C3×#124—24no—
598C3×#124—24no—
599C3×#124—42no—
600C3×#124—42no—
601C3×#124—42no—
602C3×#124—42no—
603C3×#124—48no—
604C3×#124—48no—
605C3×#121—416no—
606C3×#121—416no—
607C3×#121—416no—
608C3×#121—416no—
609C3×#120—416no—
610C3×#120—416no—
611C3×#120—416no—
612C3×#120—416no—
613C3×C4×D4—832no—
614C3×#117—24no—
615C3×#117—24no—
616C3×#117—42no—
617C3×#117—42no—
618C3×#117—44no—
619C3×#117—44no—
620C3×#117—44no—
621C3×#117—44no—
622C3×#117—84no—
623C3×#117—84no—
624C2×C3×C4⋊C4—22no—
625C2×C3×C4⋊C4—22no—
626C2×C3×C4⋊C4—42no—
627C2×C3×C4⋊C4—42no—
628C2×C3×C4⋊C4—44no—
629C2×C3×C4⋊C4—42no—
630C2×C3×C4⋊C4—44no—
631C2×C3×C4⋊C4—82no—
632C2×C3×C4⋊C4—82no—
633C2×C3×C22⋊C4—22no—
634C2×C3×C22⋊C4—22no—
635C2×C3×C22⋊C4—24no—
636C2×C3×C22⋊C4—24no—
637C2×C3×C22⋊C4—24no—
638C2×C3×C22⋊C4—24no—
639C2×C3×C22⋊C4—42no—
640C2×C3×C22⋊C4—42no—
641C2×C3×C22⋊C4—44no—
642C2×C3×C22⋊C4—44no—
643C2×C3×C22⋊C4—44no—
644C2×C3×C22⋊C4—44no—
645C2×C3×C22⋊C4—44no—
646C2×C3×C22⋊C4—44no—
647C2×C3×C22⋊C4—44no—
648C2×C3×C22⋊C4—44no—
649C2×C3×C22⋊C4—44no—
650C2×C3×C22⋊C4—44no—
651C2×C3×C22⋊C4—44no—
652C2×C3×C22⋊C4—42no—
653C2×C3×C22⋊C4—44no—
654C2×C3×C22⋊C4—44no—
655C2×C3×C22⋊C4—44no—
656C2×C3×C22⋊C4—44no—
657C2×C3×C22⋊C4—44no—
658C2×C3×C22⋊C4—44no—
659C2×C3×C22⋊C4—44no—
660C2×C3×C22⋊C4—81no—
661C2×C3×C22⋊C4—82no—
662C2×C3×C22⋊C4—81no—
663C2×C3×C22⋊C4—82no—
664C2×C3×C22⋊C4—82no—
665C2×C3×C22⋊C4—82no—
666C2×C3×C22⋊C4—816no—
667C2×C3×C22⋊C4—82no—
668C2×C3×C22⋊C4—82no—
669C2×C3×C22⋊C4—82no—
670C2×C3×C22⋊C4—82no—
671C2×C3×C22⋊C4—81no—
672C2×C3×C22⋊C4—81no—
673C2×C3×C22⋊C4—82no—
674C2×C3×C22⋊C4—82no—
675C2×C3×C22⋊C4—82no—
676C2×C3×C22⋊C4—82no—
677C2×C3×C22⋊C4—82no—
678C2×C3×C22⋊C4—82no—
679C2×C3×C22⋊C4—82no—
680C2×C3×C22⋊C4—82no—
681C2×C3×C22⋊C4—82no—
682C2×C3×C22⋊C4—82no—
683C2×C3×C22⋊C4—82no—
684C2×C3×C22⋊C4—82no—
685C2×C3×C22⋊C4—82no—
686C2×C3×C22⋊C4—82no—
687C2×C3×C22⋊C4—82no—
688C2×C3×C22⋊C4—82no—
689C2×C3×C42—21no—
690C2×C3×C42—24no—
691C2×C3×C42—21no—
692C2×C3×C42—42no—
693C2×C3×C42—42no—
694C2×C3×C42—44no—
695C2×C3×C42—42no—
696C2×C3×C42—42no—
697C2×C3×C42—44no—
698C2×C3×C42—82no—
699C2×C3×C42#9512yes—
700C2×C3×C42#9512yes—
701C3×#102—816no—
702C3×#99—48no—
703C3×#99—84no—
704C3×#99—84no—
705C3×#99—84no—
706C3×#99—84no—
707C3×#99—84no—
708C3×C22⋊C8—28no—
709C3×C22⋊C8—44no—
710C3×C22⋊C8—44no—
711C3×C22⋊C8—44no—
712C3×#95—42no—
713C3×#95—42no—
714C3×#95—42no—
715C3×#95—42no—
716C3×#95—44no—
717C3×#95—44no—
718C3×#95—42no—
719C3×#95—42no—
720C3×#95—44no—
721C3×#95—44no—
722C3×#95—42no—
723C3×#95—42no—
724C3×#95—42no—
725C3×#95—42no—
726C3×#95—82no—
727C3×#95—82no—
728C3×#95—82no—
729C3×#95—82no—
730C3×#95—82no—
731C3×#95—82no—
732C3×#95—82no—
733C3×#95—82no—
734C26—21no—
735C22×#41—42no—
736C22×#41—42no—
737C22×#41—44no—
738C22×#41—82no—
739C22×#41C22×C3×C411yescharacteristic
740C22×#41C22×C3×C411yescharacteristic
741C22×#41C2×C3×D411yescharacteristic
742C22×#41C2×C3×Q811yescharacteristic
743C22×#41C3×#4112yes—
744C22×#41C3×#4112yes—
745C23×Q8C22×C3×C411yescharacteristic
746C23×D4—22no—
747C23×D4—22no—
748C23×D4—21no—
749C23×D4—21no—
750C23×D4—21no—
751C23×D4—42no—
752C23×D4—42no—
753C23×D4—44no—
754C23×D4—82no—
755C23×D4C3×C22⋊C411yescharacteristic
756C23×D4C3×C22⋊C412yes—
757C23×D4C3×C22⋊C411yescharacteristic
758C23×D4C3×C4⋊C412yes—
759C23×D4C2×C3×D411yescharacteristic
760C23×D4C2×C3×D412yes—
761C24×C4—22no—
762C24×C4—22no—
763C24×C4C2×C3×D411yescharacteristic
764C24×C4C2×C3×D412yes—
765#568—44no—
766#568—82no—
767C2×#131—44no—
768C22×M16—22no—
769C22×M16—42no—
770#535—28no—
771#535—28no—
772#535—44no—
773#535—44no—
774#535—44no—
775#535—44no—
776#535—44no—
777#535—44no—
778#535—416no—
779#535—416no—
780C2×#127—22no—
781C2×#127—28no—
782C2×#127—22no—
783C2×#127—44no—
784C2×#127C3×C22⋊C412yes—
785C2×#127C3×C22⋊C412yes—
786C2×#127C3×C4⋊C412yes—
787C2×#127C3×C4⋊C412yes—
788C2×#124—22no—
789C2×#124—22no—
790C2×#124—44no—
791C2×#124—44no—
792C2×#124C3×C4212yes—
793C2×#124C3×C4212yes—
794C2×#124C3×C4⋊C412yes—
795C2×#124C3×C4⋊C412yes—
796C2×#121—24no—
797C2×#121—24no—
798C2×#121—24no—
799C2×#121—24no—
800C2×#121—48no—
801C2×#121—48no—
802C2×#120—24no—
803C2×#120—24no—
804C2×#120—24no—
805C2×#120—24no—
806C2×#120—48no—
807C2×#120—48no—
808C2×C4×D4—48no—
809C2×C4×D4—84no—
810C2×C4×D4—84no—
811C2×#117—21no—
812C2×#117—21no—
813C2×#117—22no—
814C2×#117—24no—
815C2×#117—44no—
816C2×#117C3×C22⋊C412yes—
817C2×#117C3×C4⋊C412yes—
818C22×C4⋊C4—21no—
819C22×C4⋊C4—22no—
820C22×C22⋊C4—21no—
821C22×C22⋊C4—22no—
822C22×C22⋊C4—22no—
823C22×C22⋊C4—21no—
824C22×C22⋊C4—22no—
825C22×C22⋊C4—22no—
826C22×C22⋊C4—22no—
827C22×C22⋊C4—22no—
828C22×C22⋊C4—22no—
829C22×C22⋊C4—22no—
830C22×C22⋊C4—22no—
831C22×C22⋊C4—22no—
832C22×C22⋊C4—22no—
833C22×C22⋊C4—21no—
834C22×C22⋊C4—21no—
835C22×C22⋊C4—22no—
836C22×C22⋊C4—21no—
837C22×C22⋊C4—84no—
838C22×C22⋊C4—82no—
839C22×C42—21no—
840C22×C42—21no—
841C22×C42C3×C22⋊C411yescharacteristic
842C22×C42C3×C22⋊C411yescharacteristic
843#418—48no—
844#418—84no—
845C2×#102—48no—
846#410—48no—
847#410—44no—
848#410—84no—
849#410—82no—
850C2×#99—24no—
851C2×#99—24no—
852C2×#99—24no—
853C2×#99—42no—
854C2×#99—42no—
855C2×#99—42no—
856#408—44no—
857#408—48no—
858#407—24no—
859#407—24no—
860#407—42no—
861#407—42no—
862#407—41no—
863#407—41no—
864C2×C22⋊C8—24no—
865C2×C22⋊C8—24no—
866C2×C22⋊C8—42no—
867#390—48no—
868#386—48no—
869#386—48no—
870#386—48no—
871#386—48no—
872#386—82no—
873#386—82no—
874#386—84no—
875#386—84no—
876#386—84no—
877#382—44no—
878#381—42no—
879#381—42no—
880#381—42no—
881#381—41no—
882#380—42no—
883#380—42no—
884#380—42no—
885#379—41no—
886#379—42no—
887#379—84no—
888#379—82no—
889C4×C22⋊C4—42no—
890C4×C22⋊C4—42no—
891C4×C22⋊C4—42no—
892#376—44no—
893C2×#95—22no—
894C2×#95—21no—
895C2×#95—21no—
896C2×#95—22no—
897C2×#95—22no—
898C2×#95—22no—
899C2×#95—22no—
900C2×#95—22no—
901C2×#95—22no—
902C2×#95—22no—
903C2×#95—22no—
904C2×#95—22no—
905C2×#95—22no—
906C2×#95—42no—
907C2×#95—42no—
908C2×#95C3×C22⋊C412yes—
909C2×#95C3×C22⋊C412yes—
910C2×#95C3×C22⋊C412yes—
911C2×#95C3×C22⋊C412yes—
912#353—48no—
913#353—48no—
914H(3,ℤ/4)—48no—
915C24×C3—24no—
916C24×C3—24no—
917C24×C3—22no—
918C24×C3—22no—
919C24×C3—22no—
920C24×C3—22no—
921C24×C3—22no—
922C24×C3—22no—
923C24×C3—41no—
924C24×C3—42no—
925C24×C3—44no—
926C24×C3—44no—
927C24×C3—42no—
928C24×C3—42no—
929C24×C3—42no—
930C24×C3—42no—
931C24×C3—42no—
932C24×C3—42no—
933C24×C3—41no—
934C24×C3—41no—
935C24×C3—42no—
936C24×C3—42no—
937C24×C3—42no—
938C24×C3—42no—
939C24×C3—42no—
940C24×C3—41no—
941C24×C3—41no—
942C24×C3—42no—
943C24×C3—42no—
944C24×C3—42no—
945C24×C3—42no—
946C24×C3—44no—
947C24×C3—42no—
948C24×C3—42no—
949C24×C3—44no—
950C24×C3—82no—
951C24×C3—82no—
952C24×C3—84no—
953C24×C3—84no—
954C24×C3—84no—
955C24×C3—84no—
956C24×C3—88no—
957C24×C3—88no—
958C24×C3—88no—
959C24×C3—84no—
960C24×C3—84no—
961C24×C3—162no—
962C24×C3—164no—
963C24×C3—164no—
964C24×C3—164no—
965C24×C3—164no—
966C24×C3—164no—
967C24×C3—162no—
968C24×C3—164no—
969C24×C3—164no—
970C24×C3—164no—
971C24×C3—164no—
972C24×C3#37911yescharacteristic
973C24×C3#38511yescharacteristic
974C24×C3#38512yes—
975C24×C3#38612yes—
976C24×C3#38611yescharacteristic
977C3×#41—48no—
978C3×#41—48no—
979C3×#41—84no—
980C3×#41—84no—
981C3×#41—88no—
982C3×#41—88no—
983C3×#41—88no—
984C3×#41—88no—
985C3×#41—88no—
986C3×#41—88no—
987C2×C3×Q8—22no—
988C2×C3×Q8—22no—
989C2×C3×Q8—41no—
990C2×C3×Q8—41no—
991C2×C3×Q8—42no—
992C2×C3×Q8—41no—
993C2×C3×Q8—42no—
994C2×C3×Q8—41no—
995C2×C3×Q8—42no—
996C2×C3×Q8—88no—
997C2×C3×D4—24no—
998C2×C3×D4—24no—
999C2×C3×D4—216no—
1000C2×C3×D4—24no—
1001C2×C3×D4—24no—
1002C2×C3×D4—216no—
1003C2×C3×D4—24no—
1004C2×C3×D4—24no—
1005C2×C3×D4—22no—
1006C2×C3×D4—22no—
1007C2×C3×D4—22no—
1008C2×C3×D4—22no—
1009C2×C3×D4—41no—
1010C2×C3×D4—42no—
1011C2×C3×D4—41no—
1012C2×C3×D4—42no—
1013C2×C3×D4—42no—
1014C2×C3×D4—42no—
1015C2×C3×D4—42no—
1016C2×C3×D4—48no—
1017C2×C3×D4—48no—
1018C2×C3×D4—42no—
1019C2×C3×D4—42no—
1020C2×C3×D4—42no—
1021C2×C3×D4—41no—
1022C2×C3×D4—42no—
1023C2×C3×D4—42no—
1024C2×C3×D4—42no—
1025C2×C3×D4—42no—
1026C2×C3×D4—42no—
1027C2×C3×D4—42no—
1028C2×C3×D4—41no—
1029C2×C3×D4—44no—
1030C2×C3×D4—44no—
1031C2×C3×D4—42no—
1032C2×C3×D4—48no—
1033C2×C3×D4—48no—
1034C2×C3×D4—44no—
1035C2×C3×D4—42no—
1036C2×C3×D4—42no—
1037C2×C3×D4—82no—
1038C2×C3×D4—81no—
1039C2×C3×D4—81no—
1040C2×C3×D4—82no—
1041C2×C3×D4—81no—
1042C2×C3×D4—81no—
1043C2×C3×D4—84no—
1044C2×C3×D4—84no—
1045C2×C3×D4—88no—
1046C2×C3×D4—88no—
1047C2×C3×D4—88no—
1048C2×C3×D4—88no—
1049C2×C3×D4—88no—
1050C2×C3×D4—88no—
1051C2×C3×D4—88no—
1052C2×C3×D4—84no—
1053C2×C3×D4—84no—
1054C2×C3×D4—84no—
1055C2×C3×D4—84no—
1056C2×C3×D4—88no—
1057C2×C3×D4—88no—
1058C2×C3×D4—84no—
1059C2×C3×D4—84no—
1060C2×C3×D4—84no—
1061C2×C3×D4—84no—
1062C2×C3×D4—816no—
1063C2×C3×D4—88no—
1064C2×C3×D4—88no—
1065C2×C3×D4—84no—
1066C2×C3×D4—84no—
1067C2×C3×D4—84no—
1068C2×C3×D4—84no—
1069C2×C3×D4—88no—
1070C2×C3×D4—88no—
1071C2×C3×D4—164no—
1072C2×C3×D4—164no—
1073C2×C3×D4—164no—
1074C2×C3×D4—164no—
1075C2×C3×D4#34214yes—
1076C2×C3×D4C2×#9914yes—
1077C22×C3×C4—22no—
1078C22×C3×C4—21no—
1079C22×C3×C4—21no—
1080C22×C3×C4—22no—
1081C22×C3×C4—22no—
1082C22×C3×C4—22no—
1083C22×C3×C4—24no—
1084C22×C3×C4—24no—
1085C22×C3×C4—22no—
1086C22×C3×C4—22no—
1087C22×C3×C4—22no—
1088C22×C3×C4—22no—
1089C22×C3×C4—22no—
1090C22×C3×C4—22no—
1091C22×C3×C4—22no—
1092C22×C3×C4—22no—
1093C22×C3×C4—22no—
1094C22×C3×C4—22no—
1095C22×C3×C4—21no—
1096C22×C3×C4—22no—
1097C22×C3×C4—21no—
1098C22×C3×C4—22no—
1099C22×C3×C4—22no—
1100C22×C3×C4—22no—
1101C22×C3×C4—22no—
1102C22×C3×C4—22no—
1103C22×C3×C4—22no—
1104C22×C3×C4—24no—
1105C22×C3×C4—22no—
1106C22×C3×C4—41no—
1107C22×C3×C4—41no—
1108C22×C3×C4—41no—
1109C22×C3×C4—42no—
1110C22×C3×C4—42no—
1111C22×C3×C4—41no—
1112C22×C3×C4—41no—
1113C22×C3×C4—41no—
1114C22×C3×C4—41no—
1115C22×C3×C4—42no—
1116C22×C3×C4—42no—
1117C22×C3×C4—42no—
1118C22×C3×C4—42no—
1119C22×C3×C4—42no—
1120C22×C3×C4—42no—
1121C22×C3×C4—48no—
1122C22×C3×C4—48no—
1123C22×C3×C4—42no—
1124C22×C3×C4—42no—
1125C22×C3×C4—42no—
1126C22×C3×C4—42no—
1127C22×C3×C4—42no—
1128C22×C3×C4—42no—
1129C22×C3×C4—42no—
1130C22×C3×C4—41no—
1131C22×C3×C4—41no—
1132C22×C3×C4—42no—
1133C22×C3×C4—42no—
1134C22×C3×C4—42no—
1135C22×C3×C4—42no—
1136C22×C3×C4—42no—
1137C22×C3×C4—42no—
1138C22×C3×C4—42no—
1139C22×C3×C4—42no—
1140C22×C3×C4—42no—
1141C22×C3×C4—42no—
1142C22×C3×C4—42no—
1143C22×C3×C4—42no—
1144C22×C3×C4—42no—
1145C22×C3×C4—42no—
1146C22×C3×C4—42no—
1147C22×C3×C4—42no—
1148C22×C3×C4—42no—
1149C22×C3×C4—42no—
1150C22×C3×C4—42no—
1151C22×C3×C4—42no—
1152C22×C3×C4—42no—
1153C22×C3×C4—42no—
1154C22×C3×C4—42no—
1155C22×C3×C4—42no—
1156C22×C3×C4—84no—
1157C22×C3×C4—84no—
1158C22×C3×C4—84no—
1159C22×C3×C4—84no—
1160C22×C3×C4—88no—
1161C22×C3×C4—88no—
1162C22×C3×C4—88no—
1163C22×C3×C4—88no—
1164C22×C3×C4—82no—
1165C22×C3×C4—84no—
1166C22×C3×C4—164no—
1167C22×C3×C4—164no—
1168C22×C3×C4—164no—
1169C22×C3×C4—164no—
1170C22×C3×C4—164no—
1171C22×C3×C4—164no—
1172C22×C3×C4—164no—
1173C22×C3×C4—164no—
1174C22×C3×C4—164no—
1175C22×C3×C4—164no—
1176C22×C3×C4C2×#9511yescharacteristic
1177C22×C3×C4C4×C22⋊C412yes—
1178C22×C3×C4#38012yes—
1179C22×C3×C4#38111yescharacteristic
1180C22×C3×C4#38511yescharacteristic
1181C22×C3×C4#38611yescharacteristic
1182C22×C3×C4B(4,𝔽2)12yes—
1183C22×C3×C4#45812yes—
1184C3×M16—82no—
1185C3×M16—82no—
1186C3×M16—84no—
1187C3×M16—88no—
1188C2×C3×C8—48no—
1189C2×C3×C8—44no—
1190C2×C3×C8—88no—
1191C3×C4⋊C4—44no—
1192C3×C4⋊C4—44no—
1193C3×C4⋊C4—84no—
1194C3×C4⋊C4—88no—
1195C3×C4⋊C4—164no—
1196C3×C22⋊C4—48no—
1197C3×C22⋊C4—48no—
1198C3×C22⋊C4—44no—
1199C3×C22⋊C4—44no—
1200C3×C22⋊C4—48no—
1201C3×C22⋊C4—48no—
1202C3×C22⋊C4—84no—
1203C3×C22⋊C4—88no—
1204C3×C22⋊C4—88no—
1205C3×C22⋊C4—88no—
1206C3×C22⋊C4—84no—
1207C3×C22⋊C4—82no—
1208C3×C22⋊C4—84no—
1209C3×C22⋊C4—84no—
1210C3×C22⋊C4—82no—
1211C3×C22⋊C4—164no—
1212C3×C22⋊C4—164no—
1213C3×C22⋊C4—164no—
1214C3×C22⋊C4—164no—
1215C3×C22⋊C4—164no—
1216C3×C22⋊C4—164no—
1217C3×C22⋊C4—162no—
1218C3×C22⋊C4—162no—
1219C3×C22⋊C4—164no—
1220C3×C22⋊C4—162no—
1221C3×C22⋊C4—162no—
1222C3×C22⋊C4—162no—
1223C3×C22⋊C4—162no—
1224C3×C22⋊C4—162no—
1225C3×C22⋊C4—162no—
1226C3×C42—24no—
1227C3×C42—22no—
1228C3×C42—22no—
1229C3×C42—22no—
1230C3×C42—42no—
1231C3×C42—48no—
1232C3×C42—84no—
1233C3×C42—84no—
1234C3×C42—164no—
1235C3×C42#34214yes—
1236C25—21no—
1237C25—21no—
1238C25—22no—
1239C25—22no—
1240C25—42no—
1241C25—42no—
1242C25—44no—
1243C25—82no—
1244C25—82no—
1245C25—82no—
1246C25—82no—
1247C25—82no—
1248C25C3×#12011yescharacteristic
1249C25C3×#12012yes—
1250C2×#41—24no—
1251C2×#41—24no—
1252C2×#41—41no—
1253C2×#41—41no—
1254C2×#41—41no—
1255C2×#41—41no—
1256C2×#41—42no—
1257C2×#41—42no—
1258C2×#41—42no—
1259C2×#41—42no—
1260C2×#41—42no—
1261C2×#41—42no—
1262C2×#41—42no—
1263C2×#41—44no—
1264C2×#41—44no—
1265C2×#41—42no—
1266C2×#41—44no—
1267C2×#41—42no—
1268C2×#41—42no—
1269C2×#41—81no—
1270C2×#41—81no—
1271C2×#41—82no—
1272C2×#41—816no—
1273C2×#41—816no—
1274C22×Q8—42no—
1275C22×Q8—42no—
1276C22×Q8—81no—
1277C22×Q8C2×C3×C4211yescharacteristic
1278C22×Q8C2×C3×C4⋊C411yescharacteristic
1279C22×Q8C3×#11712yes—
1280C22×D4—28no—
1281C22×D4—28no—
1282C22×D4—24no—
1283C22×D4—24no—
1284C22×D4—24no—
1285C22×D4—24no—
1286C22×D4—24no—
1287C22×D4—24no—
1288C22×D4—24no—
1289C22×D4—24no—
1290C22×D4—21no—
1291C22×D4—21no—
1292C22×D4—22no—
1293C22×D4—22no—
1294C22×D4—42no—
1295C22×D4—42no—
1296C22×D4—42no—
1297C22×D4—42no—
1298C22×D4—42no—
1299C22×D4—44no—
1300C22×D4—42no—
1301C22×D4—42no—
1302C22×D4—42no—
1303C22×D4—44no—
1304C22×D4—42no—
1305C22×D4—42no—
1306C22×D4—44no—
1307C22×D4—44no—
1308C22×D4—44no—
1309C22×D4—44no—
1310C22×D4—44no—
1311C22×D4—44no—
1312C22×D4—44no—
1313C22×D4—42no—
1314C22×D4—42no—
1315C22×D4—82no—
1316C22×D4—81no—
1317C22×D4—81no—
1318C22×D4—82no—
1319C22×D4—81no—
1320C22×D4—81no—
1321C22×D4—81no—
1322C22×D4—82no—
1323C22×D4—816no—
1324C22×D4—816no—
1325C22×D4—82no—
1326C22×D4—82no—
1327C22×D4—81no—
1328C22×D4—81no—
1329C22×D4—82no—
1330C22×D4—82no—
1331C22×D4—82no—
1332C22×D4—82no—
1333C22×D4—82no—
1334C22×D4—82no—
1335C22×D4—82no—
1336C22×D4C3×#9512yes—
1337C22×D4C3×#9512yes—
1338C22×D4C2×C3×C22⋊C411yescharacteristic
1339C22×D4C2×C3×C4⋊C411yescharacteristic
1340C22×D4C3×C4×D412yes—
1341C22×D4C3×C4×D412yes—
1342C22×D4C3×#12112yes—
1343C22×D4C3×C22⋊Q812yes—
1344C22×D4C3×#12312yes—
1345C23×C4—21no—
1346C23×C4—22no—
1347C23×C4—22no—
1348C23×C4—22no—
1349C23×C4—22no—
1350C23×C4—22no—
1351C23×C4—22no—
1352C23×C4—22no—
1353C23×C4—21no—
1354C23×C4—22no—
1355C23×C4—22no—
1356C23×C4—22no—
1357C23×C4—42no—
1358C23×C4—42no—
1359C23×C4—44no—
1360C23×C4—44no—
1361C23×C4—44no—
1362C23×C4—44no—
1363C23×C4—44no—
1364C23×C4—82no—
1365C23×C4—82no—
1366C23×C4—82no—
1367C23×C4—82no—
1368C23×C4—82no—
1369C23×C4—82no—
1370C23×C4—82no—
1371C23×C4—82no—
1372C23×C4—82no—
1373C23×C4—82no—
1374C23×C4—82no—
1375C23×C4C2×C3×C22⋊C411yescharacteristic
1376C23×C4C2×C3×C22⋊C411yescharacteristic
1377C23×C4C2×C3×C22⋊C412yes—
1378C23×C4C2×C3×C4⋊C411yescharacteristic
1379C23×C4C3×C4×D412yes—
1380C23×C4C3×C4×D412yes—
1381C23×C4C3×#12011yescharacteristic
1382C23×C4C3×#12112yes—
1383C23×C4C3×C22⋊Q812yes—
1384C23×C4C3×#12311yescharacteristic
1385C23×C4C3×#12311yescharacteristic
1386#131—816no—
1387C2×M16—42no—
1388C2×M16—44no—
1389C2×M16—44no—
1390C2×M16—44no—
1391C2×M16—42no—
1392C2×M16—84no—
1393C2×M16—84no—
1394C22×C8—24no—
1395C22×C8—44no—
1396#127—216no—
1397#127—24no—
1398#127—24no—
1399#127—24no—
1400#127—24no—
1401#127—24no—
1402#127—42no—
1403#127—42no—
1404#127—48no—
1405#127C3×#9918yes—
1406#124—24no—
1407#124—24no—
1408#124—24no—
1409#124—24no—
1410#124—42no—
1411#124—42no—
1412#124—42no—
1413#124—42no—
1414#124—48no—
1415#124—48no—
1416#121—416no—
1417#121—416no—
1418#121—416no—
1419#121—416no—
1420#120—416no—
1421#120—416no—
1422#120—416no—
1423#120—416no—
1424C4×D4—832no—
1425#117—24no—
1426#117—24no—
1427#117—42no—
1428#117—42no—
1429#117—44no—
1430#117—44no—
1431#117—44no—
1432#117—44no—
1433#117—84no—
1434#117—84no—
1435C2×C4⋊C4—22no—
1436C2×C4⋊C4—22no—
1437C2×C4⋊C4—42no—
1438C2×C4⋊C4—42no—
1439C2×C4⋊C4—44no—
1440C2×C4⋊C4—42no—
1441C2×C4⋊C4—44no—
1442C2×C4⋊C4—82no—
1443C2×C4⋊C4—82no—
1444C2×C22⋊C4—22no—
1445C2×C22⋊C4—22no—
1446C2×C22⋊C4—24no—
1447C2×C22⋊C4—24no—
1448C2×C22⋊C4—24no—
1449C2×C22⋊C4—24no—
1450C2×C22⋊C4—42no—
1451C2×C22⋊C4—42no—
1452C2×C22⋊C4—44no—
1453C2×C22⋊C4—44no—
1454C2×C22⋊C4—44no—
1455C2×C22⋊C4—44no—
1456C2×C22⋊C4—44no—
1457C2×C22⋊C4—44no—
1458C2×C22⋊C4—44no—
1459C2×C22⋊C4—44no—
1460C2×C22⋊C4—44no—
1461C2×C22⋊C4—44no—
1462C2×C22⋊C4—44no—
1463C2×C22⋊C4—42no—
1464C2×C22⋊C4—44no—
1465C2×C22⋊C4—44no—
1466C2×C22⋊C4—44no—
1467C2×C22⋊C4—44no—
1468C2×C22⋊C4—44no—
1469C2×C22⋊C4—44no—
1470C2×C22⋊C4—44no—
1471C2×C22⋊C4—81no—
1472C2×C22⋊C4—82no—
1473C2×C22⋊C4—81no—
1474C2×C22⋊C4—82no—
1475C2×C22⋊C4—82no—
1476C2×C22⋊C4—82no—
1477C2×C22⋊C4—816no—
1478C2×C22⋊C4—82no—
1479C2×C22⋊C4—82no—
1480C2×C22⋊C4—82no—
1481C2×C22⋊C4—82no—
1482C2×C22⋊C4—81no—
1483C2×C22⋊C4—81no—
1484C2×C22⋊C4—82no—
1485C2×C22⋊C4—82no—
1486C2×C22⋊C4—82no—
1487C2×C22⋊C4—82no—
1488C2×C22⋊C4—82no—
1489C2×C22⋊C4—82no—
1490C2×C22⋊C4—82no—
1491C2×C22⋊C4—82no—
1492C2×C22⋊C4—82no—
1493C2×C22⋊C4—82no—
1494C2×C22⋊C4—82no—
1495C2×C22⋊C4—82no—
1496C2×C22⋊C4—82no—
1497C2×C22⋊C4—82no—
1498C2×C22⋊C4—82no—
1499C2×C22⋊C4—82no—
1500C2×C42—21no—
1501C2×C42—24no—
1502C2×C42—21no—
1503C2×C42—42no—
1504C2×C42—42no—
1505C2×C42—44no—
1506C2×C42—42no—
1507C2×C42—42no—
1508C2×C42—44no—
1509C2×C42—82no—
1510C2×C42C3×#9512yes—
1511C2×C42C3×#9512yes—
1512#102—816no—
1513#99—48no—
1514#99—84no—
1515#99—84no—
1516#99—84no—
1517#99—84no—
1518#99—84no—
1519C22⋊C8—28no—
1520C22⋊C8—44no—
1521C22⋊C8—44no—
1522C22⋊C8—44no—
1523#95—42no—
1524#95—42no—
1525#95—42no—
1526#95—42no—
1527#95—44no—
1528#95—44no—
1529#95—42no—
1530#95—42no—
1531#95—44no—
1532#95—44no—
1533#95—42no—
1534#95—42no—
1535#95—42no—
1536#95—42no—
1537#95—82no—
1538#95—82no—
1539#95—82no—
1540#95—82no—
1541#95—82no—
1542#95—82no—
1543#95—82no—
1544#95—82no—
1545C23×C3—21no—
1546C23×C3—22no—
1547C23×C3—22no—
1548C23×C3—21no—
1549C23×C3—21no—
1550C23×C3—22no—
1551C23×C3—22no—
1552C23×C3—21no—
1553C23×C3—21no—
1554C23×C3—24no—
1555C23×C3—22no—
1556C23×C3—21no—
1557C23×C3—22no—
1558C23×C3—22no—
1559C23×C3—21no—
1560C23×C3—44no—
1561C23×C3—44no—
1562C23×C3—44no—
1563C23×C3—42no—
1564C23×C3—42no—
1565C23×C3—42no—
1566C23×C3—42no—
1567C23×C3—42no—
1568C23×C3—42no—
1569C23×C3—42no—
1570C23×C3—44no—
1571C23×C3—44no—
1572C23×C3—44no—
1573C23×C3—44no—
1574C23×C3—44no—
1575C23×C3—44no—
1576C23×C3—44no—
1577C23×C3—44no—
1578C23×C3—44no—
1579C23×C3—44no—
1580C23×C3—44no—
1581C23×C3—44no—
1582C23×C3—44no—
1583C23×C3—42no—
1584C23×C3—44no—
1585C23×C3—44no—
1586C23×C3—42no—
1587C23×C3—42no—
1588C23×C3—42no—
1589C23×C3—42no—
1590C23×C3—42no—
1591C23×C3—42no—
1592C23×C3—42no—
1593C23×C3—42no—
1594C23×C3—42no—
1595C23×C3—42no—
1596C23×C3—42no—
1597C23×C3—82no—
1598C23×C3—82no—
1599C23×C3—82no—
1600C23×C3—88no—
1601C23×C3—81no—
1602C23×C3—82no—
1603C23×C3—82no—
1604C23×C3—82no—
1605C23×C3—82no—
1606C23×C3—82no—
1607C23×C3—82no—
1608C23×C3—82no—
1609C23×C3—81no—
1610C23×C3—81no—
1611C23×C3—81no—
1612C23×C3—82no—
1613C23×C3—81no—
1614C23×C3—82no—
1615C23×C3—81no—
1616C23×C3—81no—
1617C23×C3—81no—
1618C23×C3—81no—
1619C23×C3—82no—
1620C23×C3—82no—
1621C23×C3—82no—
1622C23×C3—82no—
1623C23×C3—82no—
1624C23×C3—82no—
1625C23×C3—82no—
1626C23×C3—82no—
1627C23×C3—81no—
1628C23×C3—82no—
1629C23×C3—82no—
1630C23×C3—88no—
1631C23×C3—88no—
1632C23×C3—88no—
1633C23×C3—82no—
1634C23×C3—82no—
1635C23×C3—82no—
1636C23×C3—82no—
1637C23×C3—164no—
1638C23×C3—168no—
1639C23×C3—168no—
1640C23×C3—164no—
1641C23×C3—168no—
1642C23×C3—168no—
1643C23×C3—1616no—
1644C23×C3—1616no—
1645C23×C3—1616no—
1646C23×C3—1616no—
1647C23×C3C22⋊#9511yescharacteristic
1648C23×C3#179012yes—
1649C23×C3#189814yes—
1650C23×C3#191312yes—
1651C3×Q8—44no—
1652C3×Q8—82no—
1653C3×Q8—84no—
1654C3×D4—44no—
1655C3×D4—44no—
1656C3×D4—44no—
1657C3×D4—48no—
1658C3×D4—82no—
1659C3×D4—82no—
1660C3×D4—84no—
1661C3×D4—84no—
1662C3×D4—88no—
1663C3×D4—82no—
1664C3×D4—84no—
1665C3×D4—84no—
1666C3×D4—84no—
1667C3×D4—816no—
1668C3×D4—816no—
1669C3×D4—84no—
1670C3×D4—84no—
1671C3×D4—84no—
1672C3×D4—168no—
1673C3×D4—168no—
1674C2×C3×C4—24no—
1675C2×C3×C4—24no—
1676C2×C3×C4—21no—
1677C2×C3×C4—21no—
1678C2×C3×C4—21no—
1679C2×C3×C4—21no—
1680C2×C3×C4—21no—
1681C2×C3×C4—21no—
1682C2×C3×C4—21no—
1683C2×C3×C4—22no—
1684C2×C3×C4—22no—
1685C2×C3×C4—21no—
1686C2×C3×C4—24no—
1687C2×C3×C4—22no—
1688C2×C3×C4—22no—
1689C2×C3×C4—22no—
1690C2×C3×C4—22no—
1691C2×C3×C4—21no—
1692C2×C3×C4—42no—
1693C2×C3×C4—42no—
1694C2×C3×C4—44no—
1695C2×C3×C4—44no—
1696C2×C3×C4—44no—
1697C2×C3×C4—44no—
1698C2×C3×C4—44no—
1699C2×C3×C4—44no—
1700C2×C3×C4—44no—
1701C2×C3×C4—42no—
1702C2×C3×C4—42no—
1703C2×C3×C4—42no—
1704C2×C3×C4—42no—
1705C2×C3×C4—44no—
1706C2×C3×C4—44no—
1707C2×C3×C4—44no—
1708C2×C3×C4—44no—
1709C2×C3×C4—44no—
1710C2×C3×C4—44no—
1711C2×C3×C4—42no—
1712C2×C3×C4—82no—
1713C2×C3×C4—82no—
1714C2×C3×C4—82no—
1715C2×C3×C4—82no—
1716C2×C3×C4—82no—
1717C2×C3×C4—82no—
1718C2×C3×C4—82no—
1719C2×C3×C4—82no—
1720C2×C3×C4—82no—
1721C2×C3×C4—81no—
1722C2×C3×C4—82no—
1723C2×C3×C4—81no—
1724C2×C3×C4—82no—
1725C2×C3×C4—82no—
1726C2×C3×C4—82no—
1727C2×C3×C4—82no—
1728C2×C3×C4—82no—
1729C2×C3×C4—82no—
1730C2×C3×C4—82no—
1731C2×C3×C4—82no—
1732C2×C3×C4—82no—
1733C2×C3×C4—82no—
1734C2×C3×C4—82no—
1735C2×C3×C4—82no—
1736C2×C3×C4—82no—
1737C2×C3×C4—82no—
1738C2×C3×C4—82no—
1739C2×C3×C4—82no—
1740C2×C3×C4—82no—
1741C2×C3×C4—82no—
1742C2×C3×C4—82no—
1743C2×C3×C4—82no—
1744C2×C3×C4—82no—
1745C2×C3×C4—82no—
1746C2×C3×C4—1616no—
1747C2×C3×C4—1616no—
1748C2×C3×C4—162no—
1749C2×C3×C4—164no—
1750C2×C3×C4—164no—
1751C2×C3×C4—164no—
1752C2×C3×C4—164no—
1753C2×C3×C4C2×#34212yes—
1754C2×C3×C4#186712yes—
1755C2×C3×C4#188911yescharacteristic
1756C2×C3×C4#189011yescharacteristic
1757C3×C8—84no—
1758C24—24no—
1759C24—24no—
1760C24—22no—
1761C24—22no—
1762C24—22no—
1763C24—22no—
1764C24—22no—
1765C24—22no—
1766C24—41no—
1767C24—42no—
1768C24—44no—
1769C24—44no—
1770C24—42no—
1771C24—42no—
1772C24—42no—
1773C24—42no—
1774C24—42no—
1775C24—42no—
1776C24—42no—
1777C24—41no—
1778C24—42no—
1779C24—42no—
1780C24—41no—
1781C24—42no—
1782C24—42no—
1783C24—42no—
1784C24—42no—
1785C24—41no—
1786C24—41no—
1787C24—42no—
1788C24—42no—
1789C24—44no—
1790C24—42no—
1791C24—42no—
1792C24—44no—
1793C24—82no—
1794C24—82no—
1795C24—84no—
1796C24—84no—
1797C24—84no—
1798C24—84no—
1799C24—88no—
1800C24—88no—
1801C24—84no—
1802C24—88no—
1803C24—84no—
1804C24—162no—
1805C24—164no—
1806C24—164no—
1807C24—164no—
1808C24—164no—
1809C24—164no—
1810C24—162no—
1811C24—164no—
1812C24—164no—
1813C24—164no—
1814C24—164no—
1815C24C3×#37911yescharacteristic
1816C24C3×#38511yescharacteristic
1817C24C3×#38512yes—
1818C24C3×#38612yes—
1819C24C3×#38611yescharacteristic
1820#41—48no—
1821#41—48no—
1822#41—84no—
1823#41—84no—
1824#41—88no—
1825#41—88no—
1826#41—88no—
1827#41—88no—
1828#41—88no—
1829#41—88no—
1830C2×Q8—22no—
1831C2×Q8—22no—
1832C2×Q8—41no—
1833C2×Q8—41no—
1834C2×Q8—42no—
1835C2×Q8—41no—
1836C2×Q8—42no—
1837C2×Q8—41no—
1838C2×Q8—42no—
1839C2×Q8—88no—
1840C2×D4—24no—
1841C2×D4—24no—
1842C2×D4—216no—
1843C2×D4—24no—
1844C2×D4—24no—
1845C2×D4—216no—
1846C2×D4—24no—
1847C2×D4—24no—
1848C2×D4—22no—
1849C2×D4—22no—
1850C2×D4—22no—
1851C2×D4—22no—
1852C2×D4—41no—
1853C2×D4—42no—
1854C2×D4—41no—
1855C2×D4—42no—
1856C2×D4—42no—
1857C2×D4—42no—
1858C2×D4—42no—
1859C2×D4—48no—
1860C2×D4—48no—
1861C2×D4—42no—
1862C2×D4—42no—
1863C2×D4—42no—
1864C2×D4—41no—
1865C2×D4—42no—
1866C2×D4—42no—
1867C2×D4—42no—
1868C2×D4—42no—
1869C2×D4—42no—
1870C2×D4—42no—
1871C2×D4—41no—
1872C2×D4—44no—
1873C2×D4—44no—
1874C2×D4—42no—
1875C2×D4—48no—
1876C2×D4—48no—
1877C2×D4—44no—
1878C2×D4—42no—
1879C2×D4—42no—
1880C2×D4—82no—
1881C2×D4—81no—
1882C2×D4—81no—
1883C2×D4—82no—
1884C2×D4—81no—
1885C2×D4—81no—
1886C2×D4—84no—
1887C2×D4—84no—
1888C2×D4—88no—
1889C2×D4—88no—
1890C2×D4—88no—
1891C2×D4—88no—
1892C2×D4—88no—
1893C2×D4—88no—
1894C2×D4—88no—
1895C2×D4—84no—
1896C2×D4—84no—
1897C2×D4—84no—
1898C2×D4—84no—
1899C2×D4—88no—
1900C2×D4—88no—
1901C2×D4—84no—
1902C2×D4—84no—
1903C2×D4—84no—
1904C2×D4—84no—
1905C2×D4—816no—
1906C2×D4—88no—
1907C2×D4—88no—
1908C2×D4—84no—
1909C2×D4—84no—
1910C2×D4—84no—
1911C2×D4—84no—
1912C2×D4—88no—
1913C2×D4—88no—
1914C2×D4—164no—
1915C2×D4—164no—
1916C2×D4—164no—
1917C2×D4—164no—
1918C2×D4C3×#34214yes—
1919C2×D4C2×C3×#9914yes—
1920C22×C4—22no—
1921C22×C4—22no—
1922C22×C4—21no—
1923C22×C4—21no—
1924C22×C4—22no—
1925C22×C4—22no—
1926C22×C4—22no—
1927C22×C4—24no—
1928C22×C4—24no—
1929C22×C4—22no—
1930C22×C4—22no—
1931C22×C4—22no—
1932C22×C4—22no—
1933C22×C4—22no—
1934C22×C4—22no—
1935C22×C4—22no—
1936C22×C4—22no—
1937C22×C4—22no—
1938C22×C4—22no—
1939C22×C4—22no—
1940C22×C4—21no—
1941C22×C4—22no—
1942C22×C4—21no—
1943C22×C4—22no—
1944C22×C4—22no—
1945C22×C4—22no—
1946C22×C4—22no—
1947C22×C4—24no—
1948C22×C4—22no—
1949C22×C4—41no—
1950C22×C4—41no—
1951C22×C4—41no—
1952C22×C4—42no—
1953C22×C4—42no—
1954C22×C4—41no—
1955C22×C4—41no—
1956C22×C4—41no—
1957C22×C4—41no—
1958C22×C4—42no—
1959C22×C4—42no—
1960C22×C4—42no—
1961C22×C4—42no—
1962C22×C4—42no—
1963C22×C4—42no—
1964C22×C4—48no—
1965C22×C4—48no—
1966C22×C4—42no—
1967C22×C4—42no—
1968C22×C4—42no—
1969C22×C4—42no—
1970C22×C4—42no—
1971C22×C4—42no—
1972C22×C4—42no—
1973C22×C4—41no—
1974C22×C4—41no—
1975C22×C4—42no—
1976C22×C4—42no—
1977C22×C4—42no—
1978C22×C4—42no—
1979C22×C4—42no—
1980C22×C4—42no—
1981C22×C4—42no—
1982C22×C4—42no—
1983C22×C4—42no—
1984C22×C4—42no—
1985C22×C4—42no—
1986C22×C4—42no—
1987C22×C4—42no—
1988C22×C4—42no—
1989C22×C4—42no—
1990C22×C4—42no—
1991C22×C4—42no—
1992C22×C4—42no—
1993C22×C4—42no—
1994C22×C4—42no—
1995C22×C4—42no—
1996C22×C4—42no—
1997C22×C4—42no—
1998C22×C4—42no—
1999C22×C4—84no—
2000C22×C4—84no—
2001C22×C4—84no—
2002C22×C4—84no—
2003C22×C4—88no—
2004C22×C4—88no—
2005C22×C4—88no—
2006C22×C4—88no—
2007C22×C4—82no—
2008C22×C4—84no—
2009C22×C4—164no—
2010C22×C4—164no—
2011C22×C4—164no—
2012C22×C4—164no—
2013C22×C4—164no—
2014C22×C4—164no—
2015C22×C4—164no—
2016C22×C4—164no—
2017C22×C4—164no—
2018C22×C4—164no—
2019C22×C4C2×C3×#9511yescharacteristic
2020C22×C4C3×C4×C22⋊C412yes—
2021C22×C4C3×#38012yes—
2022C22×C4C3×#38111yescharacteristic
2023C22×C4C3×#38511yescharacteristic
2024C22×C4C3×#38611yescharacteristic
2025C22×C4C3×B(4,𝔽2)12yes—
2026C22×C4C3×#45812yes—
2027M16—82no—
2028M16—82no—
2029M16—84no—
2030M16—88no—
2031C2×C8—48no—
2032C2×C8—44no—
2033C2×C8—88no—
2034C4⋊C4—44no—
2035C4⋊C4—44no—
2036C4⋊C4—84no—
2037C4⋊C4—88no—
2038C4⋊C4—164no—
2039C22⋊C4—48no—
2040C22⋊C4—48no—
2041C22⋊C4—44no—
2042C22⋊C4—44no—
2043C22⋊C4—48no—
2044C22⋊C4—48no—
2045C22⋊C4—84no—
2046C22⋊C4—88no—
2047C22⋊C4—88no—
2048C22⋊C4—88no—
2049C22⋊C4—84no—
2050C22⋊C4—82no—
2051C22⋊C4—84no—
2052C22⋊C4—84no—
2053C22⋊C4—82no—
2054C22⋊C4—164no—
2055C22⋊C4—164no—
2056C22⋊C4—164no—
2057C22⋊C4—164no—
2058C22⋊C4—164no—
2059C22⋊C4—164no—
2060C22⋊C4—162no—
2061C22⋊C4—162no—
2062C22⋊C4—164no—
2063C22⋊C4—162no—
2064C22⋊C4—162no—
2065C22⋊C4—162no—
2066C22⋊C4—162no—
2067C22⋊C4—162no—
2068C22⋊C4—162no—
2069C42—24no—
2070C42—22no—
2071C42—22no—
2072C42—22no—
2073C42—42no—
2074C42—48no—
2075C42—84no—
2076C42—84no—
2077C42—164no—
2078C42C3×#34214yes—
2079C22×C3—21no—
2080C22×C3—21no—
2081C22×C3—22no—
2082C22×C3—21no—
2083C22×C3—22no—
2084C22×C3—21no—
2085C22×C3—22no—
2086C22×C3—22no—
2087C22×C3—22no—
2088C22×C3—22no—
2089C22×C3—24no—
2090C22×C3—44no—
2091C22×C3—42no—
2092C22×C3—44no—
2093C22×C3—48no—
2094C22×C3—42no—
2095C22×C3—42no—
2096C22×C3—42no—
2097C22×C3—42no—
2098C22×C3—41no—
2099C22×C3—42no—
2100C22×C3—44no—
2101C22×C3—42no—
2102C22×C3—42no—
2103C22×C3—42no—
2104C22×C3—82no—
2105C22×C3—81no—
2106C22×C3—84no—
2107C22×C3—84no—
2108C22×C3—84no—
2109C22×C3—84no—
2110C22×C3—84no—
2111C22×C3—84no—
2112C22×C3—82no—
2113C22×C3—81no—
2114C22×C3—84no—
2115C22×C3—82no—
2116C22×C3—84no—
2117C22×C3—84no—
2118C22×C3—84no—
2119C22×C3—82no—
2120C22×C3—84no—
2121C22×C3—82no—
2122C22×C3—82no—
2123C22×C3—84no—
2124C22×C3—82no—
2125C22×C3—84no—
2126C22×C3—162no—
2127C22×C3—162no—
2128C22×C3—162no—
2129C22×C3—162no—
2130C22×C3—1616no—
2131C22×C3—1616no—
2132C22×C3#1073511yescharacteristic
2133C22×C3#1074511yescharacteristic
2134C22×C3#1075411yescharacteristic
2135C22×C3#1277812yes—
2136C22×C3#1278012yes—
2137C3×C4—21no—
2138C3×C4—21no—
2139C3×C4—22no—
2140C3×C4—22no—
2141C3×C4—44no—
2142C3×C4—41no—
2143C3×C4—42no—
2144C3×C4—42no—
2145C3×C4—84no—
2146C3×C4—82no—
2147C3×C4—162no—
2148C3×C4—162no—
2149C3×C4—162no—
2150C3×C4—324no—
2151C3×C4—322no—
2152C23—22no—
2153C23—22no—
2154C23—21no—
2155C23—21no—
2156C23—21no—
2157C23—22no—
2158C23—21no—
2159C23—22no—
2160C23—24no—
2161C23—22no—
2162C23—21no—
2163C23—22no—
2164C23—21no—
2165C23—21no—
2166C23—22no—
2167C23—44no—
2168C23—44no—
2169C23—44no—
2170C23—42no—
2171C23—42no—
2172C23—42no—
2173C23—42no—
2174C23—42no—
2175C23—42no—
2176C23—42no—
2177C23—44no—
2178C23—44no—
2179C23—44no—
2180C23—44no—
2181C23—44no—
2182C23—44no—
2183C23—44no—
2184C23—44no—
2185C23—44no—
2186C23—44no—
2187C23—44no—
2188C23—44no—
2189C23—44no—
2190C23—42no—
2191C23—44no—
2192C23—44no—
2193C23—42no—
2194C23—42no—
2195C23—42no—
2196C23—42no—
2197C23—42no—
2198C23—42no—
2199C23—42no—
2200C23—42no—
2201C23—42no—
2202C23—42no—
2203C23—42no—
2204C23—82no—
2205C23—82no—
2206C23—82no—
2207C23—88no—
2208C23—81no—
2209C23—82no—
2210C23—82no—
2211C23—82no—
2212C23—82no—
2213C23—82no—
2214C23—81no—
2215C23—81no—
2216C23—82no—
2217C23—81no—
2218C23—81no—
2219C23—81no—
2220C23—82no—
2221C23—82no—
2222C23—82no—
2223C23—81no—
2224C23—81no—
2225C23—81no—
2226C23—82no—
2227C23—82no—
2228C23—82no—
2229C23—82no—
2230C23—82no—
2231C23—82no—
2232C23—82no—
2233C23—82no—
2234C23—81no—
2235C23—82no—
2236C23—82no—
2237C23—88no—
2238C23—88no—
2239C23—88no—
2240C23—82no—
2241C23—82no—
2242C23—82no—
2243C23—82no—
2244C23—164no—
2245C23—168no—
2246C23—168no—
2247C23—164no—
2248C23—168no—
2249C23—168no—
2250C23—1616no—
2251C23—1616no—
2252C23—1616no—
2253C23—1616no—
2254C23C3×C22⋊#9511yescharacteristic
2255C23C3×#179012yes—
2256C23C3×#189814yes—
2257C23C3×#191312yes—
2258Q8—44no—
2259Q8—82no—
2260Q8—84no—
2261D4—44no—
2262D4—44no—
2263D4—44no—
2264D4—48no—
2265D4—82no—
2266D4—82no—
2267D4—84no—
2268D4—84no—
2269D4—88no—
2270D4—82no—
2271D4—84no—
2272D4—84no—
2273D4—84no—
2274D4—84no—
2275D4—816no—
2276D4—816no—
2277D4—84no—
2278D4—84no—
2279D4—168no—
2280D4—168no—
2281C2×C4—24no—
2282C2×C4—24no—
2283C2×C4—21no—
2284C2×C4—21no—
2285C2×C4—21no—
2286C2×C4—21no—
2287C2×C4—21no—
2288C2×C4—21no—
2289C2×C4—21no—
2290C2×C4—24no—
2291C2×C4—22no—
2292C2×C4—22no—
2293C2×C4—22no—
2294C2×C4—22no—
2295C2×C4—21no—
2296C2×C4—21no—
2297C2×C4—22no—
2298C2×C4—22no—
2299C2×C4—42no—
2300C2×C4—42no—
2301C2×C4—44no—
2302C2×C4—44no—
2303C2×C4—44no—
2304C2×C4—44no—
2305C2×C4—44no—
2306C2×C4—44no—
2307C2×C4—44no—
2308C2×C4—42no—
2309C2×C4—42no—
2310C2×C4—42no—
2311C2×C4—42no—
2312C2×C4—44no—
2313C2×C4—44no—
2314C2×C4—44no—
2315C2×C4—44no—
2316C2×C4—44no—
2317C2×C4—44no—
2318C2×C4—42no—
2319C2×C4—82no—
2320C2×C4—82no—
2321C2×C4—82no—
2322C2×C4—82no—
2323C2×C4—82no—
2324C2×C4—82no—
2325C2×C4—82no—
2326C2×C4—82no—
2327C2×C4—82no—
2328C2×C4—81no—
2329C2×C4—82no—
2330C2×C4—81no—
2331C2×C4—82no—
2332C2×C4—82no—
2333C2×C4—82no—
2334C2×C4—82no—
2335C2×C4—82no—
2336C2×C4—82no—
2337C2×C4—82no—
2338C2×C4—82no—
2339C2×C4—82no—
2340C2×C4—82no—
2341C2×C4—82no—
2342C2×C4—82no—
2343C2×C4—82no—
2344C2×C4—82no—
2345C2×C4—82no—
2346C2×C4—82no—
2347C2×C4—82no—
2348C2×C4—82no—
2349C2×C4—82no—
2350C2×C4—82no—
2351C2×C4—82no—
2352C2×C4—82no—
2353C2×C4—1616no—
2354C2×C4—1616no—
2355C2×C4—162no—
2356C2×C4—164no—
2357C2×C4—164no—
2358C2×C4—164no—
2359C2×C4—164no—
2360C2×C4C2×C3×#34212yes—
2361C2×C4C3×#186712yes—
2362C2×C4C3×#188911yescharacteristic
2363C2×C4C3×#189011yescharacteristic
2364C8—84no—
2365C2×C3—21no—
2366C2×C3—22no—
2367C2×C3—22no—
2368C2×C3—21no—
2369C2×C3—44no—
2370C2×C3—42no—
2371C2×C3—82no—
2372C2×C3—81no—
2373C2×C3—84no—
2374C2×C3—162no—
2375C2×C3#10676611yescharacteristic
2376C2×C3#14665612yes—
2377C22—21no—
2378C22—21no—
2379C22—22no—
2380C22—21no—
2381C22—22no—
2382C22—21no—
2383C22—22no—
2384C22—22no—
2385C22—22no—
2386C22—22no—
2387C22—24no—
2388C22—44no—
2389C22—42no—
2390C22—44no—
2391C22—48no—
2392C22—42no—
2393C22—42no—
2394C22—42no—
2395C22—42no—
2396C22—41no—
2397C22—42no—
2398C22—44no—
2399C22—42no—
2400C22—42no—
2401C22—42no—
2402C22—81no—
2403C22—82no—
2404C22—84no—
2405C22—84no—
2406C22—84no—
2407C22—84no—
2408C22—84no—
2409C22—84no—
2410C22—81no—
2411C22—82no—
2412C22—84no—
2413C22—82no—
2414C22—84no—
2415C22—84no—
2416C22—84no—
2417C22—82no—
2418C22—84no—
2419C22—82no—
2420C22—82no—
2421C22—84no—
2422C22—82no—
2423C22—84no—
2424C22—162no—
2425C22—162no—
2426C22—162no—
2427C22—162no—
2428C22—1616no—
2429C22—1616no—
2430C22C3×#1073511yescharacteristic
2431C22C3×#1074511yescharacteristic
2432C22C3×#1075411yescharacteristic
2433C22C3×#1277812yes—
2434C22C3×#1278012yes—
2435C4—21no—
2436C4—21no—
2437C4—22no—
2438C4—22no—
2439C4—44no—
2440C4—41no—
2441C4—42no—
2442C4—42no—
2443C4—84no—
2444C4—82no—
2445C4—162no—
2446C4—162no—
2447C4—162no—
2448C4—322no—
2449C4—324no—
2450C3#7221339611yescharacteristic, direct product factor, Sylow
2451C2—21no—
2452C2—22no—
2453C2—22no—
2454C2—21no—
2455C2—42no—
2456C2—44no—
2457C2—81no—
2458C2—82no—
2459C2—84no—
2460C2—162no—
2461C2C3×#14665612yes—
2462C2C3×#10676611yescharacteristic
subgroupG/H
center, socleC22×C3#10745
commutatorC22×Q8C2×C3×C42
Frattini, cosocleC23×#41C23×C3
prime radicalC22×C3×#535C22
LCSG ▷ C22×Q8 ▷ C23 ▷ C2 ▷ C1
UCSC1 ◁ C22×C3 ◁ C23×C3×C4 ◁ C23×C3×#41 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×#106740C2semidirect
2. C3×#128057C2semidirect
6. #72213396C3direct (N × H)
10. C2×C3×#2128C4semidirect
15. C3×#14662C4semidirect
16. C3×#14473C4semidirect
20. C3×#14169C4semidirect
29. C3×#10987C4semidirect
38. #128057C2×C3semidirect
39. #106740C2×C3semidirect
62. C2×C3×#410C2×C4semidirect
63. C2×C3×#410C2×C4semidirect
66. C3×#2879C2×C4semidirect
131. C2×#2128C3×C4semidirect
136. #14662C3×C4semidirect
137. #14473C3×C4semidirect
141. #14169C3×C4semidirect
150. #10987C3×C4semidirect
359. C2×#410C2×C3×C4semidirect
360. C2×#410C2×C3×C4semidirect
363. #2879C2×C3×C4semidirect
2450. C3#72213396direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#1067402
C3×#1280572
C3×#4933722
C3×#3595132
C3×#5816032
#722133963