Finite Group Databasebeta

← C2×#72214315 #72214363

Subgroups — C2×#72214315 #72214363

Order 2048.

6576 conjugacy classes of subgroups.

The subgroup lattice has 1649 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#126884C212yesmaximal
2C2×#495476C212yesmaximal
3#72214315C218yesmaximal, direct product factor
4C2×#109018C211yesmaximal, characteristic
5C2×#126586C211yesmaximal, characteristic
6C2×#358973C211yesmaximal, characteristic
7C2×#33418C2212yes—
8C2×#20826C2211yescharacteristic
9C22×C4×#106—21no—
10C22×C4×#106C2212yes—
11C22×#1744C2211yescharacteristic
12C2×#17793C2211yescharacteristic
13C2×C4×#384—21no—
14#495476—24no—
15#495476—24no—
16#495476—24no—
17#495476C2218yes—
18C2×#13185—24no—
19C2×#12929—24no—
20C2×C4×#365—24no—
21#358973—24no—
22#358973—22no—
23#358973C2214yes—
24C2×#11323—24no—
25C2×#7885—21no—
26C2×#7867—21no—
27#126884—24no—
28#126884C2218yes—
29C2×#7175—24no—
30#126586C414yescomplemented
31#126586C2214yes—
32C2×#7143C414yescomplemented
33#109018—22no—
34#109018C2214yes—
35C2×#2920—21no—
36C2×#2920—21no—
37C23×#106—22no—
38C23×#106D414yes—
39C23×C4×C8D411yescharacteristic
40C23×C4×C8C2311yescharacteristic
41C22×#384—22no—
42C22×C4×C4⋊C4—22no—
43C22×C4×C4⋊C4—42no—
44C22×C43D411yescharacteristic
45#33418—22no—
46#33418—22no—
47#33418—22no—
48#33418—22no—
49#33418C2×C414yes—
50#33418D414yes—
51#33418Q814yes—
52#33418C2314yes—
53C2×#2163C2×C414yes—
54C2×#2163Q814yes—
55C2×#2162—22no—
56C2×#2162—22no—
57C22×#365—28no—
58C2×#2150—22no—
59C2×#2112—22no—
60C2×C4×M32D414yes—
61#20826—22no—
62#20826—22no—
63#20826—21no—
64#20826—21no—
65#20826D412yes—
66#20826C2312yes—
67C2×#1848D412yes—
68C2×#1837—21no—
69C2×#1810—22no—
70C2×C4×#108—22no—
71C2×C4×#106—24no—
72C2×C4×#106—22no—
73C2×C4×#106—22no—
74C2×C4×#106—24no—
75C2×C4×#106—22no—
76C2×C4×#106—22no—
77C2×C4×#106—22no—
78C2×C4×#106—22no—
79C2×C4×#106—22no—
80C2×C4×#106—22no—
81C2×C4×#106—22no—
82C2×C4×#106—22no—
83C2×C4×#106—42no—
84C2×C4×#106—42no—
85C2×C4×#106—42no—
86C2×C4×#106—42no—
87C2×C4×#106D414yes—
88C2×C4×#106C2314yes—
89C2×#1744—22no—
90C2×#1744—22no—
91C2×#1744—22no—
92C2×#1744C2×C412yes—
93C2×#1744C2×C412yes—
94C2×#1744D412yes—
95C2×#1744Q812yes—
96C2×#1744Q812yes—
97C2×#1744C2312yes—
98C22×#340—22no—
99C22×#340—22no—
100C22×#336—22no—
101#17793—22no—
102#17793—22no—
103#17793—21no—
104#17793—21no—
105#17793Q812yes—
106#17793C2312yes—
107C2×#1568—22no—
108C2×#1567Q812yes—
109C2×#1566—21no—
110C2×#1564—22no—
111C4×#384—24no—
112C4×#384—24no—
113C4×#384—42no—
114C4×#384—42no—
115C2×C4⋊#95—22no—
116C2×C4⋊#95—42no—
117#13185—216no—
118#13185—216no—
119#12929—216no—
120#12929—216no—
121C4×#365—216no—
122C4×#365—216no—
123C2×#1383—28no—
124#11323—216no—
125#11323—216no—
126#7885—24no—
127#7885—42no—
128C2×#1278—42no—
129#7867—24no—
130#7867—42no—
131C2×#1276—42no—
132#7175—216no—
133#7143C2×C4116yescomplemented
134C24×C8—21no—
135C24×C8C2×D412yes—
136C23×C4⋊C4—24no—
137C23×C4⋊C4—44no—
138C23×C42—21no—
139C23×C42—21no—
140C23×C42—42no—
141C23×C42SD1612yes—
142C23×C42C2×D411yescharacteristic
143C22×M32—24no—
144#2920—22no—
145#2920—22no—
146#2920—22no—
147#2920—22no—
148#2920—41no—
149#2920—41no—
150#2920—41no—
151#2920—41no—
152#2920—41no—
153#2920—41no—
154#2920—41no—
155#2920—41no—
156#2920—41no—
157#2920—41no—
158#2920—41no—
159#2920—41no—
160C2×#432—41no—
161C2×#432—41no—
162C2×#432—41no—
163C2×#432—41no—
164C2×#431—41no—
165C2×#431—41no—
166C2×#431—41no—
167C2×#431—41no—
168C22×#108—24no—
169C22×#106—28no—
170C22×#106—24no—
171C22×#106—24no—
172C22×#106—24no—
173C22×#106—24no—
174C22×#106—24no—
175C22×#106—416no—
176C22×#106—416no—
177C22×#106—44no—
178C22×#106—44no—
179C22×#106C2×D418yes—
180C2×#423—22no—
181C2×#423—22no—
182C2×#407—41no—
183C2×#407—41no—
184C2×C4×M16—41no—
185C2×C4×M16—41no—
186C22×C4×C8—21no—
187C22×C4×C8—21no—
188C22×C4×C8—21no—
189C22×C4×C8—21no—
190C22×C4×C8—21no—
191C22×C4×C8—21no—
192C22×C4×C8—21no—
193C22×C4×C8C4⋊C412yes—
194C22×C4×C8C4⋊C412yes—
195C22×C4×C8SD1612yes—
196C22×C4×C8SD1612yes—
197C22×C4×C8SD1612yes—
198C22×C4×C8SD1612yes—
199C22×C4×C8C22×C411yescharacteristic
200C22×C4×C8C22×C411yescharacteristic
201C22×C4×C8C2×D412yes—
202C22×C4×C8C2×D411yescharacteristic
203C22×C4×C8C2×D411yescharacteristic
204C22×C4×C8C2×D411yescharacteristic
205C22×C4×C8C2×D412yes—
206C22×C4×C8C2×D412yes—
207C22×C4×C8C2×D412yes—
208C22×C4×C8C2×Q811yescharacteristic
209C22×C4×C8C2×Q811yescharacteristic
210C22×C4×C8C2×Q812yes—
211C22×C4×C8C2×Q812yes—
212C22×C4×C8C2×Q811yescharacteristic
213C22×C4×C8C2×Q811yescharacteristic
214C22×C4×C8#4112yes—
215C22×C4×C8#4112yes—
216C22×C4×C8#4111yescharacteristic
217C22×C4×C8#4111yescharacteristic
218C22×C4×C8#4111yescharacteristic
219C22×C4×C8#4111yescharacteristic
220C22×C4×C8C2411yescharacteristic
221C2×#384—28no—
222C2×#384—416no—
223C2×#384—44no—
224C2×C4×C4⋊C4—24no—
225C2×C4×C4⋊C4—24no—
226C2×C4×C4⋊C4—48no—
227C2×C4×C4⋊C4—48no—
228C2×C4×C4⋊C4—42no—
229C2×C4×C4⋊C4—42no—
230C2×C4×C4⋊C4—42no—
231C2×C4×C4⋊C4—42no—
232C2×C4×C4⋊C4—42no—
233C2×C4×C4⋊C4—42no—
234C2×C4×C4⋊C4—42no—
235C2×C4×C4⋊C4—42no—
236C2×C4×C4⋊C4—42no—
237C2×C4×C4⋊C4—42no—
238C2×C4×C4⋊C4—816no—
239C22×#95—44no—
240C22×#95—42no—
241C2×C43—21no—
242C2×C43—21no—
243C2×C43—21no—
244C2×C43—21no—
245C2×C43—21no—
246C2×C43—21no—
247C2×C43C4⋊C412yes—
248C2×C43C4⋊C412yes—
249C2×C43SD1612yes—
250C2×C43SD1612yes—
251C2×C43SD1612yes—
252C2×C43C2×D412yes—
253#2163—24no—
254#2163—24no—
255#2163—24no—
256#2163—24no—
257#2163C4⋊C418yescomplemented
258#2163C4⋊C418yescomplemented
259#2163C22×C418yes—
260#2163C2×Q818yes—
261#2162—24no—
262#2162—24no—
263#2162—24no—
264#2162—24no—
265#2162—24no—
266#2162—24no—
267#2162—24no—
268#2162—24no—
269C2×#365—232no—
270C2×#365—432no—
271#2150—24no—
272#2150—24no—
273#2150—24no—
274#2150—24no—
275C2×C4⋊C16—24no—
276C2×C4⋊C16—24no—
277#2112—24no—
278#2112—24no—
279#2112—24no—
280#2112—24no—
281C2×C22⋊C16—24no—
282C2×C22⋊C16—24no—
283C4×M32—24no—
284C4×M32—24no—
285C4×M32C4⋊C418yescomplemented
286C4×M32C2×D418yes—
287C2×#346C4⋊C418yescomplemented
288C2×C4×C16—24no—
289#1848—24no—
290#1848—22no—
291#1848C2×D414yes—
292#1837—22no—
293#1837—22no—
294#1837—42no—
295#1810—24no—
296#1810—24no—
297#1810—42no—
298#1810—42no—
299C4×#108—24no—
300C4×#108—24no—
301C4×#108—42no—
302C4×#108—42no—
303C4×#106—24no—
304C4×#106—24no—
305C4×#106—24no—
306C4×#106—24no—
307C4×#106—24no—
308C4×#106—24no—
309C4×#106—24no—
310C4×#106—24no—
311C4×#106—48no—
312C4×#106—48no—
313C4×#106—48no—
314C4×#106—42no—
315C4×#106—42no—
316C4×#106—42no—
317C4×#106—42no—
318C4×#106—42no—
319C4×#106—42no—
320C4×#106—42no—
321C4×#106—42no—
322C4×#106—48no—
323#1744—24no—
324#1744—24no—
325#1744—24no—
326#1744—24no—
327#1744—24no—
328#1744—24no—
329#1744C4⋊C414yes—
330#1744C4⋊C414yes—
331#1744C22×C414yes—
332#1744C2×Q814yes—
333C2×#341—42no—
334C2×#340—28no—
335C2×#340—24no—
336C2×#340—24no—
337C2×#340—44no—
338C2×#340—44no—
339C2×#340—42no—
340C2×#340—42no—
341C2×#340—42no—
342C2×#340—42no—
343C2×#336—24no—
344C2×#336—24no—
345C2×#336—24no—
346C2×#336—24no—
347C2×#336—24no—
348C2×#336—24no—
349#1568—24no—
350#1568—24no—
351#1568—42no—
352#1568—42no—
353#1567—24no—
354#1567—22no—
355#1567C2×Q814yes—
356#1566—22no—
357#1566—22no—
358#1566—42no—
359#1564—24no—
360#1564—24no—
361#1564—42no—
362#1564—42no—
363C2×#335—24no—
364C2×#334—42no—
365C4⋊#95—28no—
366C4⋊#95—44no—
367C4⋊#95—48no—
368C4⋊#95—48no—
369#1383—232no—
370#1278—48no—
371#1276—48no—
372C24×C4—22no—
373C24×C4—44no—
374C24×C4#12011yescharacteristic
375C24×C4C2×SD1611yescharacteristic
376C24×C4AGL(1,ℤ/8)11yescharacteristic
377C22×M16—42no—
378C22×M16—42no—
379C23×C8—22no—
380C23×C8—22no—
381C23×C8—22no—
382C23×C8—22no—
383C23×C8—22no—
384C23×C8—22no—
385C23×C8—22no—
386C23×C8—48no—
387C23×C8—48no—
388C23×C8C4×D412yes—
389C23×C8C4×D412yes—
390C23×C8#12012yes—
391C23×C8#12012yes—
392C23×C8#12012yes—
393C23×C8#12112yes—
394C23×C8#12112yes—
395C23×C8C22⋊Q812yes—
396C23×C8C22⋊Q812yes—
397C23×C8C22⋊Q812yes—
398C23×C8C22⋊Q812yes—
399C23×C8C4⋊Q812yes—
400C23×C8C4⋊Q812yes—
401C23×C8C22×D412yes—
402C22×C4⋊C4—216no—
403C22×C4⋊C4—28no—
404C22×C4⋊C4—48no—
405C22×C4⋊C4—48no—
406C22×C4⋊C4—44no—
407C22×C4⋊C4—44no—
408C22×C4⋊C4—44no—
409C22×C4⋊C4—44no—
410C22×C4⋊C4—48no—
411C22×C4⋊C4—416no—
412C22×C4⋊C4—432no—
413C22×C4⋊C4—44no—
414C22×C4⋊C4—816no—
415C22×C4⋊C4—816no—
416C22×C42—216no—
417C22×C42—22no—
418C22×C42—22no—
419C22×C42—22no—
420C22×C42—22no—
421C22×C42—22no—
422C22×C42—22no—
423C22×C42—22no—
424C22×C42—22no—
425C22×C42—22no—
426C22×C42—22no—
427C22×C42—22no—
428C22×C42—22no—
429C22×C42—22no—
430C22×C42—22no—
431C22×C42—22no—
432C22×C42—48no—
433C22×C42—44no—
434C22×C42—44no—
435C22×C42—84no—
436C22×C42—816no—
437C22×C42—82no—
438C22×C42—82no—
439C22×C42—82no—
440C22×C42—82no—
441C22×C42#10614yes—
442C22×C42#10614yes—
443C22×C42C2×C4⋊C411yescharacteristic
444C22×C42C2×C4⋊C411yescharacteristic
445C22×C42#12011yescharacteristic
446C22×C42#12111yescharacteristic
447C22×C42#12111yescharacteristic
448C22×C42C22⋊Q811yescharacteristic
449C22×C42C22⋊Q811yescharacteristic
450C22×C42#12311yescharacteristic
451C22×C42#12311yescharacteristic
452C22×C42#12711yescharacteristic
453C22×C42#12711yescharacteristic
454C22×C42C4⋊Q811yescharacteristic
455C22×C42C4⋊Q811yescharacteristic
456C22×C42C2×SD1614yes—
457C22×C42C2×SD1611yescharacteristic
458C22×C42C2×SD1611yescharacteristic
459C22×C42C2×SD1611yescharacteristic
460C22×C42C2×SD1611yescharacteristic
461C22×C42C2×SD1611yescharacteristic
462C22×C42C2×SD1611yescharacteristic
463C22×C42C2×SD1611yescharacteristic
464C22×C42AGL(1,ℤ/8)11yescharacteristic
465C22×C42AGL(1,ℤ/8)11yescharacteristic
466C22×C42AGL(1,ℤ/8)11yescharacteristic
467C22×C42#13711yescharacteristic
468C22×C42#13711yescharacteristic
469C22×C42#13711yescharacteristic
470C22×C42#13711yescharacteristic
471C22×C42C22×D411yescharacteristic
472C2×M32—28no—
473C2×M32—28no—
474C2×M32—416no—
475C22×C16—28no—
476#432—42no—
477#432—42no—
478#432—42no—
479#432—42no—
480#432—42no—
481#432—42no—
482#432—42no—
483#432—42no—
484#432—81no—
485#432—81no—
486#432—81no—
487#432—81no—
488#432—81no—
489#432—81no—
490#432—81no—
491#432—81no—
492#431—42no—
493#431—42no—
494#431—42no—
495#431—42no—
496#431—42no—
497#431—42no—
498#431—42no—
499#431—42no—
500#431—81no—
501#431—81no—
502#431—81no—
503#431—81no—
504#431—81no—
505#431—81no—
506#431—81no—
507#431—81no—
508C2×#108—28no—
509C2×#108—416no—
510C2×#108—44no—
511C2×#106—216no—
512C2×#106—216no—
513C2×#106—28no—
514C2×#106—28no—
515C2×#106—416no—
516C2×#106—416no—
517C2×#106—416no—
518C2×#106—416no—
519C2×#106—432no—
520C2×#106—48no—
521C2×#106—48no—
522C2×#106—416no—
523C2×#106—432no—
524C2×#106—432no—
525C2×#106—44no—
526C2×#106—44no—
527#423—24no—
528#423—24no—
529#423—42no—
530#423—42no—
531#423—42no—
532#423—42no—
533#423—42no—
534#423—42no—
535C2×C4⋊C8—42no—
536C2×C4⋊C8—42no—
537C2×C4⋊C8—42no—
538C2×C4⋊C8—42no—
539#407—42no—
540#407—42no—
541#407—42no—
542#407—42no—
543#407—81no—
544#407—81no—
545#407—81no—
546#407—81no—
547C2×C22⋊C8—81no—
548C2×C22⋊C8—81no—
549C2×C22⋊C8—81no—
550C2×C22⋊C8—81no—
551C4×M16—42no—
552C4×M16—42no—
553C4×M16—42no—
554C4×M16—42no—
555C4×M16—81no—
556C4×M16—81no—
557C4×M16—81no—
558C4×M16—81no—
559C2×#97—81no—
560C2×#97—81no—
561C2×C4×C8—22no—
562C2×C4×C8—22no—
563C2×C4×C8—22no—
564C2×C4×C8—22no—
565C2×C4×C8—22no—
566C2×C4×C8—22no—
567C2×C4×C8—22no—
568C2×C4×C8—22no—
569C2×C4×C8—22no—
570C2×C4×C8—22no—
571C2×C4×C8—22no—
572C2×C4×C8—22no—
573C2×C4×C8—22no—
574C2×C4×C8—22no—
575C2×C4×C8—22no—
576C2×C4×C8—22no—
577C2×C4×C8—22no—
578C2×C4×C8—22no—
579C2×C4×C8—22no—
580C2×C4×C8—22no—
581C2×C4×C8—22no—
582C2×C4×C8—81no—
583C2×C4×C8—81no—
584C2×C4×C8#10614yes—
585C2×C4×C8#10614yes—
586C2×C4×C8#10614yes—
587C2×C4×C8#10614yes—
588C2×C4×C8C2×C4⋊C414yes—
589C2×C4×C8C2×C4⋊C412yes—
590C2×C4×C8C2×C4⋊C412yes—
591C2×C4×C8C2×C4⋊C412yes—
592C2×C4×C8C2×C4⋊C412yes—
593C2×C4×C8C2×C4⋊C411yescharacteristic
594C2×C4×C8C2×C4⋊C411yescharacteristic
595C2×C4×C8C4×D411yescharacteristic
596C2×C4×C8C4×D411yescharacteristic
597C2×C4×C8C4×D411yescharacteristic
598C2×C4×C8C4×D411yescharacteristic
599C2×C4×C8C4×D412yes—
600C2×C4×C8C4×D412yes—
601C2×C4×C8C4×Q811yescharacteristic
602C2×C4×C8C4×Q811yescharacteristic
603C2×C4×C8C4×Q811yescharacteristic
604C2×C4×C8C4×Q811yescharacteristic
605C2×C4×C8#12012yes—
606C2×C4×C8#12012yes—
607C2×C4×C8#12111yescharacteristic
608C2×C4×C8#12111yescharacteristic
609C2×C4×C8#12112yes—
610C2×C4×C8#12112yes—
611C2×C4×C8C22⋊Q812yes—
612C2×C4×C8C22⋊Q812yes—
613C2×C4×C8C22⋊Q812yes—
614C2×C4×C8C22⋊Q812yes—
615C2×C4×C8C22⋊Q812yes—
616C2×C4×C8C22⋊Q812yes—
617C2×C4×C8C22⋊Q812yes—
618C2×C4×C8C22⋊Q812yes—
619C2×C4×C8C22⋊Q812yes—
620C2×C4×C8C22⋊Q812yes—
621C2×C4×C8C22⋊Q811yescharacteristic
622C2×C4×C8C22⋊Q811yescharacteristic
623C2×C4×C8C22⋊Q812yes—
624C2×C4×C8C22⋊Q812yes—
625C2×C4×C8#12312yes—
626C2×C4×C8#12312yes—
627C2×C4×C8#12312yes—
628C2×C4×C8#12312yes—
629C2×C4×C8#12312yes—
630C2×C4×C8#12511yescharacteristic
631C2×C4×C8#12511yescharacteristic
632C2×C4×C8#12511yescharacteristic
633C2×C4×C8#12511yescharacteristic
634C2×C4×C8#12512yes—
635C2×C4×C8#12512yes—
636C2×C4×C8#12512yes—
637C2×C4×C8#12512yes—
638C2×C4×C8#12712yes—
639C2×C4×C8C4⋊Q812yes—
640C2×C4×C8C4⋊Q812yes—
641C2×C4×C8C4⋊Q812yes—
642C2×C4×C8C4⋊Q812yes—
643C2×C4×C8C4⋊Q811yescharacteristic
644C2×C4×C8C4⋊Q811yescharacteristic
645C2×C4×C8C4⋊Q811yescharacteristic
646C2×C4×C8C4⋊Q811yescharacteristic
647C2×C4×C8C4⋊Q812yes—
648C2×C4×C8C4⋊Q812yes—
649C2×C4×C8C4⋊Q812yes—
650C2×C4×C8C2×SD1614yes—
651C2×C4×C8C2×SD1614yes—
652C2×C4×C8C23×C411yescharacteristic
653C2×C4×C8C22×D412yes—
654C2×C4×C8C22×D411yescharacteristic
655C2×C4×C8C22×Q812yes—
656C2×C4×C8C22×Q811yescharacteristic
657C2×C4×C8C22×Q811yescharacteristic
658C2×C4×C8C2×#4111yescharacteristic
659C2×C4×C8C2×#4111yescharacteristic
660C2×C4×C8C2×#4112yes—
661#384—432no—
662#384—432no—
663C4×C4⋊C4—44no—
664C4×C4⋊C4—44no—
665C4×C4⋊C4—44no—
666C4×C4⋊C4—44no—
667C4×C4⋊C4—44no—
668C4×C4⋊C4—44no—
669C4×C4⋊C4—44no—
670C4×C4⋊C4—44no—
671C4×C4⋊C4—832no—
672C4×C4⋊C4—832no—
673C4×C4⋊C4—82no—
674C4×C4⋊C4—82no—
675C4×C4⋊C4—82no—
676C4×C4⋊C4—82no—
677C4×C4⋊C4—82no—
678C4×C4⋊C4—82no—
679C4×C4⋊C4—82no—
680C4×C4⋊C4—82no—
681C2×#95—416no—
682C2×#95—44no—
683C2×#95—44no—
684C2×#95—816no—
685C2×#95—82no—
686C2×#95—82no—
687C2×#95—82no—
688C2×#95—82no—
689C43—22no—
690C43—22no—
691C43—22no—
692C43—22no—
693C43—22no—
694C43—22no—
695C43—22no—
696C43—22no—
697C43—22no—
698C43—22no—
699C43—22no—
700C43—22no—
701C43#10614yes—
702C43#10614yes—
703C43C2×C4⋊C414yes—
704C43C2×SD1614yes—
705#365—464no—
706C4⋊C16—28no—
707C4⋊C16—28no—
708C4⋊C16—28no—
709C4⋊C16—28no—
710C22⋊C16—28no—
711C22⋊C16—28no—
712C22⋊C16—28no—
713C22⋊C16—28no—
714#346—28no—
715#346C2×C4⋊C4116yescomplemented
716C4×C16—28no—
717C4×C16—28no—
718#341—44no—
719#341—44no—
720#340—416no—
721#340—44no—
722#340—44no—
723#340—44no—
724#340—44no—
725#336—28no—
726#336—28no—
727#336—28no—
728#336—28no—
729#335—28no—
730#335—44no—
731#334—44no—
732#334—44no—
733C25#45011yescharacteristic
734C23×C4—28no—
735C23×C4—28no—
736C23×C4—28no—
737C23×C4—28no—
738C23×C4—24no—
739C23×C4—24no—
740C23×C4—24no—
741C23×C4—44no—
742C23×C4—48no—
743C23×C4—48no—
744C23×C4—416no—
745C23×C4—48no—
746C23×C4—88no—
747C23×C4—816no—
748C23×C4—816no—
749C23×C4—84no—
750C23×C4—84no—
751C23×C4#38511yescharacteristic
752C23×C4#38511yescharacteristic
753C23×C4#39211yescharacteristic
754C23×C4#39211yescharacteristic
755C23×C4#39511yescharacteristic
756C23×C4#39511yescharacteristic
757C23×C4C2×#10611yescharacteristic
758C23×C4C2×#10611yescharacteristic
759C23×C4#42811yescharacteristic
760C23×C4#42811yescharacteristic
761C23×C4#44811yescharacteristic
762C23×C4#44811yescharacteristic
763C23×C4#44811yescharacteristic
764C23×C4#44811yescharacteristic
765C23×C4#45011yescharacteristic
766C23×C4#45011yescharacteristic
767C23×C4#45011yescharacteristic
768C23×C4#45011yescharacteristic
769C23×C4#45011yescharacteristic
770C23×C4#46011yescharacteristic
771C23×C4#46011yescharacteristic
772C23×C4#46011yescharacteristic
773C23×C4#46011yescharacteristic
774C23×C4#47511yescharacteristic
775C23×C4#47511yescharacteristic
776C23×C4#47611yescharacteristic
777C23×C4#47611yescharacteristic
778C23×C4#48111yescharacteristic
779C23×C4#48111yescharacteristic
780C23×C4#48311yescharacteristic
781C23×C4#48311yescharacteristic
782C23×C4#49211yescharacteristic
783C23×C4#49211yescharacteristic
784C23×C4#49611yescharacteristic
785C23×C4#49611yescharacteristic
786C23×C4#49811yescharacteristic
787C23×C4#49811yescharacteristic
788C23×C4#50111yescharacteristic
789C23×C4#50111yescharacteristic
790C23×C4C2×#12011yescharacteristic
791C23×C4C22×SD1611yescharacteristic
792C23×C4C2×AGL(1,ℤ/8)11yescharacteristic
793C2×M16—44no—
794C2×M16—44no—
795C2×M16—82no—
796C2×M16—82no—
797C2×M16—88no—
798C2×M16—88no—
799C22×C8—28no—
800C22×C8—28no—
801C22×C8—24no—
802C22×C8—24no—
803C22×C8—24no—
804C22×C8—24no—
805C22×C8—24no—
806C22×C8—24no—
807C22×C8—24no—
808C22×C8—44no—
809C22×C8—44no—
810C22×C8—44no—
811C22×C8—44no—
812C22×C8—44no—
813C22×C8—44no—
814C22×C8—44no—
815C22×C8—44no—
816C22×C8—44no—
817C22×C8—44no—
818C22×C8—44no—
819C22×C8—44no—
820C22×C8—48no—
821C22×C8—48no—
822C22×C8—48no—
823C22×C8—48no—
824C22×C8—48no—
825C22×C8—48no—
826C22×C8—48no—
827C22×C8—82no—
828C22×C8—82no—
829C22×C8#38512yes—
830C22×C8#38512yes—
831C22×C8#38512yes—
832C22×C8#38512yes—
833C22×C8#38512yes—
834C22×C8#38512yes—
835C22×C8#38912yes—
836C22×C8#38912yes—
837C22×C8#38912yes—
838C22×C8#38912yes—
839C22×C8#39212yes—
840C22×C8#39212yes—
841C22×C8#39512yes—
842C22×C8#39512yes—
843C22×C8#39512yes—
844C22×C8#39512yes—
845C22×C8#39512yes—
846C22×C8#39512yes—
847C22×C8#39812yes—
848C22×C8#39812yes—
849C22×C8#39812yes—
850C22×C8#39812yes—
851C22×C8C2×C4×D412yes—
852C22×C8C2×#12012yes—
853C22×C8C2×#12112yes—
854C22×C8C2×C22⋊Q812yes—
855C22×C8C2×C22⋊Q812yes—
856C22×C8C2×C4⋊Q812yes—
857C2×C4⋊C4—216no—
858C2×C4⋊C4—416no—
859C2×C4⋊C4—416no—
860C2×C4⋊C4—48no—
861C2×C4⋊C4—48no—
862C2×C4⋊C4—416no—
863C2×C4⋊C4—48no—
864C2×C4⋊C4—48no—
865C2×C4⋊C4—416no—
866C2×C4⋊C4—416no—
867C2×C4⋊C4—48no—
868C2×C4⋊C4—464no—
869C2×C4⋊C4—88no—
870C2×C4⋊C4—88no—
871C2×C4⋊C4—88no—
872C2×C4⋊C4—88no—
873C2×C4⋊C4—832no—
874C2×C4⋊C4—832no—
875C2×C4⋊C4—8128no—
876C2×C4⋊C4—88no—
877C2×C4⋊C4—84no—
878C2×C4⋊C4—84no—
879C2×C42—216no—
880C2×C42—216no—
881C2×C42—216no—
882C2×C42—216no—
883C2×C42—216no—
884C2×C42—216no—
885C2×C42—24no—
886C2×C42—24no—
887C2×C42—24no—
888C2×C42—24no—
889C2×C42—24no—
890C2×C42—24no—
891C2×C42—24no—
892C2×C42—24no—
893C2×C42—24no—
894C2×C42—24no—
895C2×C42—24no—
896C2×C42—48no—
897C2×C42—48no—
898C2×C42—48no—
899C2×C42—48no—
900C2×C42—48no—
901C2×C42—48no—
902C2×C42—48no—
903C2×C42—84no—
904C2×C42—84no—
905C2×C42—84no—
906C2×C42—84no—
907C2×C42—84no—
908C2×C42—816no—
909C2×C42—816no—
910C2×C42—84no—
911C2×C42—84no—
912C2×C42—84no—
913C2×C42—84no—
914C2×C42—168no—
915C2×C42—168no—
916C2×C42—168no—
917C2×C42—168no—
918C2×C42#38411yescharacteristic
919C2×C42#38411yescharacteristic
920C2×C42#38411yescharacteristic
921C2×C42#38411yescharacteristic
922C2×C42#38511yescharacteristic
923C2×C42#38511yescharacteristic
924C2×C42#38911yescharacteristic
925C2×C42#38911yescharacteristic
926C2×C42#38911yescharacteristic
927C2×C42#38911yescharacteristic
928C2×C42#39211yescharacteristic
929C2×C42#39211yescharacteristic
930C2×C42#39511yescharacteristic
931C2×C42#39511yescharacteristic
932C2×C42#39811yescharacteristic
933C2×C42#39811yescharacteristic
934C2×C42#39811yescharacteristic
935C2×C42#39811yescharacteristic
936C2×C42#39911yescharacteristic
937C2×C42#39911yescharacteristic
938C2×C42#39911yescharacteristic
939C2×C42#39911yescharacteristic
940C2×C42C2×#10618yes—
941C2×C42C2×#10611yescharacteristic
942C2×C42C2×#10611yescharacteristic
943C2×C42C2×#10611yescharacteristic
944C2×C42C2×#10611yescharacteristic
945C2×C42C2×#10611yescharacteristic
946C2×C42C2×#10611yescharacteristic
947C2×C42#42811yescharacteristic
948C2×C42#42811yescharacteristic
949C2×C42#42811yescharacteristic
950C2×C42#42811yescharacteristic
951C2×C42#42811yescharacteristic
952C2×C42#42811yescharacteristic
953C2×C42#44811yescharacteristic
954C2×C42#44811yescharacteristic
955C2×C42#44811yescharacteristic
956C2×C42#44811yescharacteristic
957C2×C42#45011yescharacteristic
958C2×C42#45011yescharacteristic
959C2×C42#46011yescharacteristic
960C2×C42#46011yescharacteristic
961C2×C42#46011yescharacteristic
962C2×C42#46011yescharacteristic
963C2×C42#46111yescharacteristic
964C2×C42#46111yescharacteristic
965C2×C42#46111yescharacteristic
966C2×C42#46111yescharacteristic
967C2×C42#46111yescharacteristic
968C2×C42#46111yescharacteristic
969C2×C42#46111yescharacteristic
970C2×C42#46111yescharacteristic
971C2×C42#47511yescharacteristic
972C2×C42#47511yescharacteristic
973C2×C42#47511yescharacteristic
974C2×C42#47511yescharacteristic
975C2×C42#47511yescharacteristic
976C2×C42#47511yescharacteristic
977C2×C42#47611yescharacteristic
978C2×C42#47611yescharacteristic
979C2×C42#47611yescharacteristic
980C2×C42#47611yescharacteristic
981C2×C42#47611yescharacteristic
982C2×C42#47611yescharacteristic
983C2×C42#48111yescharacteristic
984C2×C42#48111yescharacteristic
985C2×C42#48111yescharacteristic
986C2×C42#48111yescharacteristic
987C2×C42#48111yescharacteristic
988C2×C42#48111yescharacteristic
989C2×C42#48311yescharacteristic
990C2×C42#48311yescharacteristic
991C2×C42#48311yescharacteristic
992C2×C42#48311yescharacteristic
993C2×C42#48311yescharacteristic
994C2×C42#48311yescharacteristic
995C2×C42#49211yescharacteristic
996C2×C42#49211yescharacteristic
997C2×C42#49211yescharacteristic
998C2×C42#49211yescharacteristic
999C2×C42#49211yescharacteristic
1000C2×C42#49211yescharacteristic
1001C2×C42#49611yescharacteristic
1002C2×C42#49611yescharacteristic
1003C2×C42#49711yescharacteristic
1004C2×C42#49711yescharacteristic
1005C2×C42#49711yescharacteristic
1006C2×C42#49711yescharacteristic
1007C2×C42#49811yescharacteristic
1008C2×C42#49811yescharacteristic
1009C2×C42#49811yescharacteristic
1010C2×C42#49811yescharacteristic
1011C2×C42#49811yescharacteristic
1012C2×C42#49811yescharacteristic
1013C2×C42#50111yescharacteristic
1014C2×C42#50111yescharacteristic
1015C2×C42#50111yescharacteristic
1016C2×C42#50111yescharacteristic
1017C2×C42#50111yescharacteristic
1018C2×C42#50111yescharacteristic
1019C2×C42C22×C4⋊C411yescharacteristic
1020C2×C42C2×#12111yescharacteristic
1021C2×C42C2×C22⋊Q811yescharacteristic
1022C2×C42C2×#12311yescharacteristic
1023C2×C42C2×#12711yescharacteristic
1024C2×C42C2×C4⋊Q811yescharacteristic
1025C2×C42C22×SD1611yescharacteristic
1026C2×C42C22×SD1611yescharacteristic
1027C2×C42C22×SD1611yescharacteristic
1028C2×C42C2×AGL(1,ℤ/8)11yescharacteristic
1029C2×C42C2×#13711yescharacteristic
1030C2×C42C2×#13711yescharacteristic
1031M32—416no—
1032M32—416no—
1033C2×C16—216no—
1034C2×C16—416no—
1035#108—416no—
1036#108—88no—
1037#106—216no—
1038#106—216no—
1039#106—48no—
1040#106—48no—
1041#106—416no—
1042#106—416no—
1043#106—464no—
1044C4⋊C8—44no—
1045C4⋊C8—44no—
1046C4⋊C8—44no—
1047C4⋊C8—44no—
1048C4⋊C8—82no—
1049C4⋊C8—82no—
1050C4⋊C8—82no—
1051C4⋊C8—82no—
1052C22⋊C8—82no—
1053C22⋊C8—82no—
1054C22⋊C8—82no—
1055C22⋊C8—82no—
1056C22⋊C8—82no—
1057C22⋊C8—82no—
1058C22⋊C8—82no—
1059C22⋊C8—82no—
1060#97—82no—
1061#97—82no—
1062#97—82no—
1063#97—82no—
1064C4×C8—24no—
1065C4×C8—24no—
1066C4×C8—24no—
1067C4×C8—24no—
1068C4×C8—24no—
1069C4×C8—24no—
1070C4×C8—24no—
1071C4×C8—82no—
1072C4×C8—82no—
1073C4×C8—82no—
1074C4×C8—82no—
1075C4×C8#38412yes—
1076C4×C8#38412yes—
1077C4×C8#38512yes—
1078C4×C8#38512yes—
1079C4×C8#38512yes—
1080C4×C8#38512yes—
1081C4×C8#38912yes—
1082C4×C8#38912yes—
1083C4×C8#38912yes—
1084C4×C8#38912yes—
1085C4×C8#38911yescharacteristic
1086C4×C8#38911yescharacteristic
1087C4×C8#38911yescharacteristic
1088C4×C8#38911yescharacteristic
1089C4×C8#39512yes—
1090C4×C8#39512yes—
1091C4×C8#39512yes—
1092C4×C8#39512yes—
1093C4×C8#39812yes—
1094C4×C8#39812yes—
1095C4×C8#39812yes—
1096C4×C8#39812yes—
1097C4×C8#39812yes—
1098C4×C8#39812yes—
1099C4×C8#39912yes—
1100C4×C8#39912yes—
1101C4×C8C2×#10618yes—
1102C4×C8C22×C4⋊C412yes—
1103C4×C8C2×C4×D411yescharacteristic
1104C4×C8C2×C4×Q811yescharacteristic
1105C4×C8C2×C22⋊Q812yes—
1106C4×C8C2×C22⋊Q812yes—
1107C4×C8C2×#12312yes—
1108C4×C8C2×#12512yes—
1109C4×C8C2×#12511yescharacteristic
1110C4×C8C2×C4⋊Q812yes—
1111C4×C8C2×C4⋊Q811yescharacteristic
1112#95—832no—
1113#95—84no—
1114#95—84no—
1115#95—84no—
1116#95—84no—
1117C24—24no—
1118C24—24no—
1119C24—24no—
1120C24#185311yescharacteristic
1121C24#185311yescharacteristic
1122C24#201411yescharacteristic
1123C24#201411yescharacteristic
1124C24#205811yescharacteristic
1125C24#205811yescharacteristic
1126C24C2×#45011yescharacteristic
1127C22×C4—24no—
1128C22×C4—24no—
1129C22×C4—24no—
1130C22×C4—24no—
1131C22×C4—24no—
1132C22×C4—24no—
1133C22×C4—24no—
1134C22×C4—24no—
1135C22×C4—24no—
1136C22×C4—24no—
1137C22×C4—24no—
1138C22×C4—24no—
1139C22×C4—24no—
1140C22×C4—24no—
1141C22×C4—24no—
1142C22×C4—24no—
1143C22×C4—24no—
1144C22×C4—24no—
1145C22×C4—24no—
1146C22×C4—24no—
1147C22×C4—24no—
1148C22×C4—24no—
1149C22×C4—24no—
1150C22×C4—24no—
1151C22×C4—24no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—24no—
1155C22×C4—28no—
1156C22×C4—28no—
1157C22×C4—216no—
1158C22×C4—216no—
1159C22×C4—28no—
1160C22×C4—42no—
1161C22×C4—42no—
1162C22×C4—42no—
1163C22×C4—42no—
1164C22×C4—42no—
1165C22×C4—42no—
1166C22×C4—42no—
1167C22×C4—42no—
1168C22×C4—42no—
1169C22×C4—42no—
1170C22×C4—42no—
1171C22×C4—42no—
1172C22×C4—48no—
1173C22×C4—48no—
1174C22×C4—48no—
1175C22×C4—48no—
1176C22×C4—48no—
1177C22×C4—432no—
1178C22×C4—432no—
1179C22×C4—48no—
1180C22×C4—416no—
1181C22×C4—816no—
1182C22×C4—88no—
1183C22×C4—816no—
1184C22×C4—864no—
1185C22×C4—816no—
1186C22×C4—816no—
1187C22×C4—88no—
1188C22×C4—168no—
1189C22×C4—168no—
1190C22×C4—1632no—
1191C22×C4—168no—
1192C22×C4—168no—
1193C22×C4#144411yescharacteristic
1194C22×C4#144411yescharacteristic
1195C22×C4#144411yescharacteristic
1196C22×C4#144411yescharacteristic
1197C22×C4#184411yescharacteristic
1198C22×C4#184411yescharacteristic
1199C22×C4#184411yescharacteristic
1200C22×C4#184411yescharacteristic
1201C22×C4#184711yescharacteristic
1202C22×C4#184711yescharacteristic
1203C22×C4#184711yescharacteristic
1204C22×C4#184711yescharacteristic
1205C22×C4#185311yescharacteristic
1206C22×C4#185311yescharacteristic
1207C22×C4#185311yescharacteristic
1208C22×C4#185311yescharacteristic
1209C22×C4#185311yescharacteristic
1210C22×C4#185311yescharacteristic
1211C22×C4#185311yescharacteristic
1212C22×C4#185311yescharacteristic
1213C22×C4#185311yescharacteristic
1214C22×C4#185311yescharacteristic
1215C22×C4#194811yescharacteristic
1216C22×C4#194811yescharacteristic
1217C22×C4#194811yescharacteristic
1218C22×C4#194811yescharacteristic
1219C22×C4#194811yescharacteristic
1220C22×C4#194811yescharacteristic
1221C22×C4#194811yescharacteristic
1222C22×C4#194811yescharacteristic
1223C22×C4#201018yes—
1224C22×C4#201311yescharacteristic
1225C22×C4#201311yescharacteristic
1226C22×C4#201311yescharacteristic
1227C22×C4#201311yescharacteristic
1228C22×C4#201411yescharacteristic
1229C22×C4#201411yescharacteristic
1230C22×C4#201411yescharacteristic
1231C22×C4#201411yescharacteristic
1232C22×C4#201411yescharacteristic
1233C22×C4#201411yescharacteristic
1234C22×C4#205811yescharacteristic
1235C22×C4#205811yescharacteristic
1236C22×C4#205811yescharacteristic
1237C22×C4#205811yescharacteristic
1238C22×C4#205811yescharacteristic
1239C22×C4#205811yescharacteristic
1240C22×C4#205811yescharacteristic
1241C22×C4#205811yescharacteristic
1242C22×C4#205811yescharacteristic
1243C22×C4#205811yescharacteristic
1244C22×C4#208411yescharacteristic
1245C22×C4#208411yescharacteristic
1246C22×C4#208411yescharacteristic
1247C22×C4#208411yescharacteristic
1248C22×C4#208411yescharacteristic
1249C22×C4#208411yescharacteristic
1250C22×C4#208411yescharacteristic
1251C22×C4#208411yescharacteristic
1252C22×C4#209411yescharacteristic
1253C22×C4#209411yescharacteristic
1254C22×C4#209411yescharacteristic
1255C22×C4#209411yescharacteristic
1256C22×C4#209611yescharacteristic
1257C22×C4#209611yescharacteristic
1258C22×C4#209611yescharacteristic
1259C22×C4#209611yescharacteristic
1260C22×C4#223018yes—
1261C22×C4C2×#38511yescharacteristic
1262C22×C4C2×#39211yescharacteristic
1263C22×C4C2×#39511yescharacteristic
1264C22×C4C22×#10611yescharacteristic
1265C22×C4C2×#42811yescharacteristic
1266C22×C4C2×#45011yescharacteristic
1267C22×C4C2×#44811yescharacteristic
1268C22×C4C2×#44811yescharacteristic
1269C22×C4C2×#46011yescharacteristic
1270C22×C4C2×#46011yescharacteristic
1271C22×C4C2×#47611yescharacteristic
1272C22×C4C2×#47511yescharacteristic
1273C22×C4C2×#48311yescharacteristic
1274C22×C4C2×#48111yescharacteristic
1275C22×C4C2×#49211yescharacteristic
1276C22×C4C2×#49611yescharacteristic
1277C22×C4C2×#49811yescharacteristic
1278C22×C4C2×#50111yescharacteristic
1279M16—88no—
1280M16—88no—
1281M16—164no—
1282M16—164no—
1283C2×C8—24no—
1284C2×C8—24no—
1285C2×C8—24no—
1286C2×C8—24no—
1287C2×C8—24no—
1288C2×C8—24no—
1289C2×C8—24no—
1290C2×C8—24no—
1291C2×C8—24no—
1292C2×C8—24no—
1293C2×C8—24no—
1294C2×C8—24no—
1295C2×C8—28no—
1296C2×C8—42no—
1297C2×C8—42no—
1298C2×C8—42no—
1299C2×C8—42no—
1300C2×C8—42no—
1301C2×C8—42no—
1302C2×C8—42no—
1303C2×C8—42no—
1304C2×C8—42no—
1305C2×C8—42no—
1306C2×C8—42no—
1307C2×C8—42no—
1308C2×C8—42no—
1309C2×C8—42no—
1310C2×C8—42no—
1311C2×C8—42no—
1312C2×C8—48no—
1313C2×C8—48no—
1314C2×C8—48no—
1315C2×C8—48no—
1316C2×C8—48no—
1317C2×C8—48no—
1318C2×C8—48no—
1319C2×C8—84no—
1320C2×C8—84no—
1321C2×C8—164no—
1322C2×C8—164no—
1323C2×C8#144412yes—
1324C2×C8#144412yes—
1325C2×C8#144412yes—
1326C2×C8#144412yes—
1327C2×C8C2×#38512yes—
1328C2×C8C2×#38912yes—
1329C2×C8C2×#39512yes—
1330C2×C8C2×#39812yes—
1331C4⋊C4—416no—
1332C4⋊C4—416no—
1333C4⋊C4—88no—
1334C4⋊C4—816no—
1335C4⋊C4—8128no—
1336C4⋊C4—816no—
1337C4⋊C4—88no—
1338C42—216no—
1339C42—216no—
1340C42—216no—
1341C42—216no—
1342C42—48no—
1343C42—48no—
1344C42—48no—
1345C42—48no—
1346C42—48no—
1347C42—84no—
1348C42—84no—
1349C42—84no—
1350C42—168no—
1351C42—168no—
1352C42—168no—
1353C42—168no—
1354C42#144411yescharacteristic
1355C42#144411yescharacteristic
1356C42#144411yescharacteristic
1357C42#144411yescharacteristic
1358C42#184411yescharacteristic
1359C42#184411yescharacteristic
1360C42#184411yescharacteristic
1361C42#184411yescharacteristic
1362C42#184711yescharacteristic
1363C42#184711yescharacteristic
1364C42#184711yescharacteristic
1365C42#184711yescharacteristic
1366C42#185311yescharacteristic
1367C42#185311yescharacteristic
1368C42#185311yescharacteristic
1369C42#185311yescharacteristic
1370C42#194811yescharacteristic
1371C42#194811yescharacteristic
1372C42#194811yescharacteristic
1373C42#194811yescharacteristic
1374C42#194811yescharacteristic
1375C42#194811yescharacteristic
1376C42#194811yescharacteristic
1377C42#194811yescharacteristic
1378C42#201311yescharacteristic
1379C42#201311yescharacteristic
1380C42#201311yescharacteristic
1381C42#201311yescharacteristic
1382C42#205811yescharacteristic
1383C42#205811yescharacteristic
1384C42#205811yescharacteristic
1385C42#205811yescharacteristic
1386C42#208411yescharacteristic
1387C42#208411yescharacteristic
1388C42#208411yescharacteristic
1389C42#208411yescharacteristic
1390C42#208411yescharacteristic
1391C42#208411yescharacteristic
1392C42#208411yescharacteristic
1393C42#208411yescharacteristic
1394C42#209411yescharacteristic
1395C42#209411yescharacteristic
1396C42#209411yescharacteristic
1397C42#209411yescharacteristic
1398C42#209611yescharacteristic
1399C42#209611yescharacteristic
1400C42#209611yescharacteristic
1401C42#209611yescharacteristic
1402C42C2×#38411yescharacteristic
1403C42C2×#38911yescharacteristic
1404C42C2×#39811yescharacteristic
1405C42C2×#39911yescharacteristic
1406C42C22×#10611yescharacteristic
1407C42C2×#42811yescharacteristic
1408C42C2×#46111yescharacteristic
1409C42C2×#46111yescharacteristic
1410C42C2×#47611yescharacteristic
1411C42C2×#47511yescharacteristic
1412C42C2×#48311yescharacteristic
1413C42C2×#48111yescharacteristic
1414C42C2×#49211yescharacteristic
1415C42C2×#49711yescharacteristic
1416C42C2×#49811yescharacteristic
1417C42C2×#50111yescharacteristic
1418C16—416no—
1419C23—216no—
1420C23—216no—
1421C23—22no—
1422C23—22no—
1423C23—22no—
1424C23—22no—
1425C23—22no—
1426C23—22no—
1427C23—22no—
1428C23—22no—
1429C23—22no—
1430C23—22no—
1431C23—22no—
1432C23—22no—
1433C23—22no—
1434C23—22no—
1435C23—22no—
1436C23—22no—
1437C23—22no—
1438C23—22no—
1439C23#1001514yes—
1440C23#1132311yescharacteristic
1441C23#1132311yescharacteristic
1442C23#1132311yescharacteristic
1443C23#1132311yescharacteristic
1444C23#1293214yes—
1445C23#1345714yes—
1446C23C2×#185311yescharacteristic
1447C23C2×#201411yescharacteristic
1448C23C2×#205811yescharacteristic
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—22no—
1455C2×C4—22no—
1456C2×C4—22no—
1457C2×C4—22no—
1458C2×C4—22no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—22no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—22no—
1465C2×C4—22no—
1466C2×C4—22no—
1467C2×C4—22no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—22no—
1476C2×C4—22no—
1477C2×C4—22no—
1478C2×C4—22no—
1479C2×C4—22no—
1480C2×C4—22no—
1481C2×C4—22no—
1482C2×C4—22no—
1483C2×C4—22no—
1484C2×C4—22no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—22no—
1488C2×C4—22no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—22no—
1495C2×C4—22no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—22no—
1500C2×C4—22no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—216no—
1506C2×C4—41no—
1507C2×C4—41no—
1508C2×C4—41no—
1509C2×C4—41no—
1510C2×C4—41no—
1511C2×C4—41no—
1512C2×C4—41no—
1513C2×C4—41no—
1514C2×C4—41no—
1515C2×C4—41no—
1516C2×C4—41no—
1517C2×C4—41no—
1518C2×C4—41no—
1519C2×C4—41no—
1520C2×C4—41no—
1521C2×C4—41no—
1522C2×C4—48no—
1523C2×C4—416no—
1524C2×C4—416no—
1525C2×C4—432no—
1526C2×C4—432no—
1527C2×C4—48no—
1528C2×C4—832no—
1529C2×C4—816no—
1530C2×C4—168no—
1531C2×C4—1616no—
1532C2×C4—1632no—
1533C2×C4—1632no—
1534C2×C4—168no—
1535C2×C4#1001414yes—
1536C2×C4#1001414yes—
1537C2×C4#1001514yes—
1538C2×C4#1132311yescharacteristic
1539C2×C4#1132311yescharacteristic
1540C2×C4#1132311yescharacteristic
1541C2×C4#1132311yescharacteristic
1542C2×C4#1132311yescharacteristic
1543C2×C4#1132311yescharacteristic
1544C2×C4#1132311yescharacteristic
1545C2×C4#1132311yescharacteristic
1546C2×C4#1132311yescharacteristic
1547C2×C4#1132311yescharacteristic
1548C2×C4#1132311yescharacteristic
1549C2×C4#1132311yescharacteristic
1550C2×C4#1133514yes—
1551C2×C4#1133514yes—
1552C2×C4#1318614yes—
1553C2×C4#1318614yes—
1554C2×C4#1345714yes—
1555C2×C4#1353314yes—
1556C2×C4#1353314yes—
1557C2×C4C2×#144411yescharacteristic
1558C2×C4C2×#184411yescharacteristic
1559C2×C4C2×#184711yescharacteristic
1560C2×C4C2×#185311yescharacteristic
1561C2×C4C2×#194811yescharacteristic
1562C2×C4C2×#194811yescharacteristic
1563C2×C4C2×#201014yes—
1564C2×C4C2×#201311yescharacteristic
1565C2×C4C2×#205811yescharacteristic
1566C2×C4C2×#208411yescharacteristic
1567C2×C4C2×#208411yescharacteristic
1568C2×C4C2×#209411yescharacteristic
1569C2×C4C2×#209611yescharacteristic
1570C2×C4C2×#223014yes—
1571C8—22no—
1572C8—22no—
1573C8—22no—
1574C8—22no—
1575C8—22no—
1576C8—22no—
1577C8—22no—
1578C8—22no—
1579C8—48no—
1580C8—164no—
1581C8—164no—
1582C22—24no—
1583C22—24no—
1584C22—28no—
1585C22—28no—
1586C22—28no—
1587C22—28no—
1588C22—28no—
1589C22—28no—
1590C22—21no—
1591C22—21no—
1592C22—21no—
1593C22—21no—
1594C22—21no—
1595C22—21no—
1596C22—21no—
1597C22—21no—
1598C22—21no—
1599C22—21no—
1600C22—21no—
1601C22—21no—
1602C22#12133512yes—
1603C22#12133512yes—
1604C22#14919312yes—
1605C22#14919312yes—
1606C22#14919512yes—
1607C22#14919512yes—
1608C22C2×#1001512yes—
1609C22C2×#1132311yescharacteristic
1610C22C2×#1293212yes—
1611C22C2×#1345712yes—
1612C4—21no—
1613C4—21no—
1614C4—21no—
1615C4—21no—
1616C4—21no—
1617C4—21no—
1618C4—21no—
1619C4—21no—
1620C4—21no—
1621C4—21no—
1622C4—21no—
1623C4—21no—
1624C4—21no—
1625C4—21no—
1626C4—21no—
1627C4—21no—
1628C4—416no—
1629C4—1616no—
1630C4#12133512yes—
1631C4#12133512yes—
1632C4#14919512yes—
1633C4#14919512yes—
1634C4C2×#1001412yes—
1635C4C2×#1133512yes—
1636C4C2×#1318612yes—
1637C4C2×#1353312yes—
1638C2—22no—
1639C2—22no—
1640C2—22no—
1641C2—22no—
1642C2—22no—
1643C2—22no—
1644C2C2×#12133511yescharacteristic
1645C2#7221431514yesdirect product factor
1646C2C2×#14919511yescharacteristic
1647C2C2×#14919311yescharacteristic
subgroupG/H
centerC22×C4#2094
commutatorC2×C4×C8C23×C4
Frattini, cosocleC22×C4×C8C24
socleC23#11323
prime radicalC25#450
LCSG ▷ C2×C4×C8 ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C23×C42 ◁ C22×#1744 ◁ G
LECSG ▷ C22×C4×C8 ▷ C2×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #72214315C2direct (N × H)
30. #126586C4semidirect
32. C2×#7143C4semidirect
133. #7143C2×C4semidirect
257. #2163C4⋊C4semidirect
258. #2163C4⋊C4semidirect
285. C4×M32C4⋊C4semidirect
287. C2×#346C4⋊C4semidirect
715. #346C2×C4⋊C4semidirect
1645. C2#72214315direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#1268842
C2×#4954762
#722143152
C2×#1090182
C2×#1265862
C2×#3589732