Finite Group Databasebeta

← #30556162

Subgroups — #30556162

Order 15616.

2686 conjugacy classes of subgroups.

The subgroup lattice has 2036 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840576C211yesmaximal, characteristic, complemented
2C2×#16840572C211yesmaximal, characteristic, complemented
3#21459605C211yesmaximal, characteristic, complemented
4#21459584C211yesmaximal, characteristic, complemented
5#21457558C211yesmaximal, characteristic, complemented
6#21457557C211yesmaximal, characteristic, complemented
7#21457530C211yesmaximal, characteristic, complemented
8#21457520C211yesmaximal, characteristic, complemented
9#21457473C211yesmaximal, characteristic, complemented
10#21457469C211yesmaximal, characteristic, complemented
11#21457450C211yesmaximal, characteristic, complemented
12#21457448C211yesmaximal, characteristic, complemented
13#21457403C211yesmaximal, characteristic, complemented
14#21457400C211yesmaximal, characteristic, complemented
15#21457394C211yesmaximal, characteristic, complemented
16#21457384C211yesmaximal, characteristic, complemented
17#21457365C211yesmaximal, characteristic, complemented
18#21457331C211yesmaximal, characteristic, complemented
19#21457325C211yesmaximal, characteristic, complemented
20#21456284C211yesmaximal, characteristic, complemented
21#21455505C211yesmaximal, characteristic, complemented
22#21455498C211yesmaximal, characteristic, complemented
23#21455267C211yesmaximal, characteristic, complemented
24#464×D61C211yesmaximal, characteristic, complemented
25#21455132C211yesmaximal, characteristic, complemented
26#21455118C211yesmaximal, characteristic, complemented
27#21455111C211yesmaximal, characteristic, complemented
28#21455102C211yesmaximal, characteristic, complemented
29#21454641C211yesmaximal, characteristic, complemented
30#21454560C211yesmaximal, characteristic, complemented
31C61×#3268C211yesmaximal, characteristic, complemented
32C2×#14519824C2211yescharacteristic
33C2×#14519824C2211yescharacteristic
34C2×#14519824C2211yescharacteristic, complemented
35C2×#14519822C2211yescharacteristic
36#16840576—28no—
37#16840572—28no—
38C2×#14519810C2211yescharacteristic
39C2×#14519807C2211yescharacteristic, complemented
40C2×#14519807C2211yescharacteristic, complemented
41C2×#14519806C2211yescharacteristic
42C2×#14519806C2211yescharacteristic
43C2×#14519806C2211yescharacteristic, complemented
44C2×#14519806C2211yescharacteristic, complemented
45C2×#14519806C2211yescharacteristic, complemented
46C2×#14519806C2211yescharacteristic, complemented
47C2×#14519801C2211yescharacteristic
48C2×#14519801C2211yescharacteristic
49C2×#14519801C2211yescharacteristic
50C2×#14519797C2211yescharacteristic
51C2×#14519796C2211yescharacteristic
52C2×#14519796C2211yescharacteristic
53C2×#14519796C2211yescharacteristic
54C2×#14519796C2211yescharacteristic, complemented
55C22×Dic244C2211yescharacteristic, complemented
56C2×Q16×D61C2211yescharacteristic, complemented
57C2×Q16×D61C2211yescharacteristic, complemented
58C22×#11758200C2211yescharacteristic
59C2×SD16×D61C2211yescharacteristic
60C2×SD16×D61C2211yescharacteristic
61C2×#14519785C2211yescharacteristic
62C2×#14519783C2211yescharacteristic, complemented
63#16840432—21no—
64#16840432C2211yescharacteristic, complemented
65Q8×D244C2211yescharacteristic, complemented
66D4×Dic122—21no—
67D4×Dic122C2211yescharacteristic, complemented
68#16840422C2211yescharacteristic
69#16840421C2211yescharacteristic
70#16840420C2211yescharacteristic
71#16840419C2211yescharacteristic, complemented
72#16840419C2211yescharacteristic, complemented
73#16840418—21no—
74#16840418—21no—
75#16840418C2211yescharacteristic
76#16840418C2211yescharacteristic, complemented
77#16840418C2211yescharacteristic, complemented
78#16840407C2211yescharacteristic
79#16840406C2211yescharacteristic
80#16840404—21no—
81#16840402—21no—
82#16840401—21no—
83#16840400C2211yescharacteristic
84#16840399—21no—
85#16840341—21no—
86#16840341—21no—
87#16840341C2211yescharacteristic
88#16840341C2211yescharacteristic, complemented
89#16840335C2211yescharacteristic
90#16840334—21no—
91#16840328C2211yescharacteristic
92#16840327—21no—
93#16840310—21no—
94#16840310C2211yescharacteristic, complemented
95#16840309—21no—
96#16840309C2211yescharacteristic
97#16840307—21no—
98C2×#14519763—21no—
99#124×D61C2211yescharacteristic
100C4×#11758224C2211yescharacteristic
101C4×Q8×D61C2211yescharacteristic, complemented
102#16840157C2211yescharacteristic, complemented
103#16840156C2211yescharacteristic, complemented
104#16840149C2211yescharacteristic, complemented
105#16840145C2211yescharacteristic, complemented
106#16840145C2211yescharacteristic, complemented
107#16840143C2211yescharacteristic, complemented
108#16840143C2211yescharacteristic, complemented
109#16840020C2211yescharacteristic, complemented
110#16840019C2211yescharacteristic, complemented
111#16840013C2211yescharacteristic, complemented
112#16840012C2211yescharacteristic, complemented
113#16840009C2211yescharacteristic, complemented
114#16840007C2211yescharacteristic, complemented
115#16840006C2211yescharacteristic, complemented
116#16840004C2211yescharacteristic, complemented
117#16840001C2211yescharacteristic, complemented
118#16839997C2211yescharacteristic, complemented
119#16839991C2211yescharacteristic, complemented
120#16839990C2211yescharacteristic, complemented
121#16839989C2211yescharacteristic, complemented
122#16839988C2211yescharacteristic, complemented
123#16839987C2211yescharacteristic, complemented
124#16839986C2211yescharacteristic, complemented
125#16839985C2211yescharacteristic, complemented
126#16839984C2211yescharacteristic, complemented
127#16839983C2211yescharacteristic, complemented
128#16839983C2211yescharacteristic, complemented
129#16839983C2211yescharacteristic, complemented
130#16839982C2211yescharacteristic, complemented
131#16839981C2211yescharacteristic, complemented
132#16839975C2211yescharacteristic, complemented
133#16839975C2211yescharacteristic, complemented
134#16839973C2211yescharacteristic, complemented
135#16839967C2211yescharacteristic, complemented
136#16839959C2211yescharacteristic, complemented
137#16839926C2211yescharacteristic
138#16839925C2211yescharacteristic
139#16839925C2211yescharacteristic, complemented
140#16839925C2211yescharacteristic, complemented
141#16839924C2211yescharacteristic, complemented
142#16839924C2211yescharacteristic, complemented
143#16839921C2211yescharacteristic, complemented
144#16839920C2211yescharacteristic, complemented
145#16839920C2211yescharacteristic, complemented
146#16839919C2211yescharacteristic, complemented
147#16839919C2211yescharacteristic, complemented
148#16839917C2211yescharacteristic, complemented
149#16839916C2211yescharacteristic, complemented
150#16839914C2211yescharacteristic
151#16839913C2211yescharacteristic
152#16839908C2211yescharacteristic, complemented
153#16839907C2211yescharacteristic, complemented
154#16839905C2211yescharacteristic
155#16839904C2211yescharacteristic
156#16839904C2211yescharacteristic, complemented
157#16839904C2211yescharacteristic, complemented
158#16839903C2211yescharacteristic, complemented
159#16839902C2211yescharacteristic, complemented
160#16839900C2211yescharacteristic, complemented
161#16839900C2211yescharacteristic, complemented
162#16839899C2211yescharacteristic, complemented
163#16839899C2211yescharacteristic, complemented
164#16839894C2211yescharacteristic
165#16839870C2211yescharacteristic, complemented
166#16839867C2211yescharacteristic, complemented
167#16839862C2211yescharacteristic, complemented
168#16839856C2211yescharacteristic, complemented
169#16839854C2211yescharacteristic, complemented
170#16839853C2211yescharacteristic, complemented
171SD16×Dic61C2211yescharacteristic, complemented
172#16839838C2211yescharacteristic, complemented
173#16839837C2211yescharacteristic, complemented
174#16839835C2211yescharacteristic, complemented
175#16839834C2211yescharacteristic, complemented
176#16839832C2211yescharacteristic, complemented
177C8×C22⋊D61C2211yescharacteristic, complemented
178#16839825C2211yescharacteristic, complemented
179#16839803C2211yescharacteristic, complemented
180C4⋊C8×D61C2211yescharacteristic, complemented
181#16839769C2211yescharacteristic, complemented
182#16839760C2211yescharacteristic
183#16839755C2211yescharacteristic, complemented
184#16839755C2211yescharacteristic, complemented
185#103×D61C2211yescharacteristic, complemented
186#102×D61C2211yescharacteristic
187#16839727C2211yescharacteristic
188#16839727C2211yescharacteristic, complemented
189#16839714C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C61C2211yescharacteristic
191C2×#135×C61C2211yescharacteristic, complemented
192C61×#550C2211yescharacteristic, complemented
193C61×#546C2211yescharacteristic
194C61×#496C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#466C2211yescharacteristic, complemented
197C61×#464C2211yescharacteristic, complemented
198C61×#459C2211yescharacteristic, complemented
199C61×#452C2211yescharacteristic, complemented
200C61×#449C2211yescharacteristic, complemented
201C61×#449C2211yescharacteristic, complemented
202C61×#447C2211yescharacteristic
203C61×#440C2211yescharacteristic, complemented
204C61×#435C2211yescharacteristic, complemented
205#14519824—24no—
206#14519824—24no—
207#14519824—24no—
208#14519824—42no—
209#14519824—42no—
210#14519824—42no—
211#14519822—24no—
212#14519822—42no—
213C2×#11758222—21no—
214C2×#11758222—21no—
215C2×#11758222—21no—
216C2×#11758222C2311yescharacteristic
217C2×#11758222C2311yescharacteristic
218C2×#11758222C2311yescharacteristic
219C2×#11758224—21no—
220C2×#11758224—21no—
221C2×#11758224—21no—
222C2×#11758224—21no—
223C2×#11758224—21no—
224C2×#11758224—21no—
225C2×#11758224—21no—
226C2×#11758224C2311yescharacteristic
227C2×#11758224C2311yescharacteristic
228C2×#11758224C2311yescharacteristic
229C2×#11758224C2311yescharacteristic
230C2×#11758224C2311yescharacteristic
231C2×#11758224C2311yescharacteristic
232C2×#11758224C2311yescharacteristic
233C22×Dic122—21no—
234C22×Dic122—21no—
235C22×Dic122—21no—
236C22×Dic122C2311yescharacteristic
237C22×Dic122C2311yescharacteristic
238C22×Dic122C2311yescharacteristic
239C2×Q8×D61C2311yescharacteristic
240C2×Q8×D61C2311yescharacteristic
241C2×Q8×D61C2311yescharacteristic
242C2×Q8×D61C2311yescharacteristic
243C2×Q8×D61C2311yescharacteristic
244C22×C22⋊D61—21no—
245C22×C22⋊D61—21no—
246C2×D4×D61—21no—
247C2×D4×D61C2311yescharacteristic
248C2×D4×D61C2311yescharacteristic
249#14519810—24no—
250#14519807—24no—
251#14519807—24no—
252#14519806—24no—
253#14519806—24no—
254#14519806—24no—
255#14519806—24no—
256#14519806—42no—
257#14519806D418yescomplemented
258#14519801—24no—
259#14519801—24no—
260#14519801—42no—
261#14519797—24no—
262#14519796—24no—
263#14519796—24no—
264#14519796—24no—
265#14519796—24no—
266C2×Dic244—24no—
267C2×Dic244C2311yescharacteristic
268C2×Dic244C2311yescharacteristic
269C2×Dic244C2311yescharacteristic
270C2×Dic244C2311yescharacteristic
271C2×Dic244C2311yescharacteristic
272C2×Dic244C2311yescharacteristic
273C2×#11758202C2311yescharacteristic
274C2×#11758202C2311yescharacteristic
275C2×#11758202C2311yescharacteristic
276C2×#11758202C2311yescharacteristic
277C2×#11758202C2311yescharacteristic
278Q16×D61—24no—
279Q16×D61—24no—
280C2×#11758190C2311yescharacteristic
281C2×#11758190C2311yescharacteristic
282C2×#11758190C2311yescharacteristic
283C2×#11758200—24no—
284C2×#11758200C2311yescharacteristic
285C2×#11758200C2311yescharacteristic
286C2×#11758200C2311yescharacteristic
287C2×#11758200C2311yescharacteristic
288C2×#11758200C2311yescharacteristic
289C2×#11758200C2311yescharacteristic
290C2×#11758200C2311yescharacteristic
291C2×#11758200C2311yescharacteristic
292C2×#11758200C2311yescharacteristic
293C2×#11758200C2311yescharacteristic
294C2×#11758201C2311yescharacteristic
295SD16×D61—24no—
296SD16×D61—24no—
297C2×#11758199C2311yescharacteristic
298C2×#11758199C2311yescharacteristic
299#14519785—24no—
300#14519783—24no—
301C2×#11758194C2311yescharacteristic
302C2×#11758189C2311yescharacteristic
303C2×#11758189C2311yescharacteristic
304C2×#11758189C2311yescharacteristic
305C2×#11758189C2311yescharacteristic
306C22×#92418C2311yescharacteristic
307C2×C8×D61C2311yescharacteristic
308C2×C8×D61C2311yescharacteristic
309C2×C8×D61C2311yescharacteristic
310C2×C8×D61C2311yescharacteristic
311#14519777—21no—
312#14519777C2311yescharacteristic
313#14519776—21no—
314#14519776—21no—
315#14519776D411yescharacteristic
316#14519773—21no—
317#14519773—21no—
318#14519773D411yescharacteristic
319#14519766C2311yescharacteristic
320#14519765C2311yescharacteristic
321#14519764—21no—
322#14519764—21no—
323#14519764C2311yescharacteristic
324#14519764C2311yescharacteristic
325#14519764C2311yescharacteristic
326#14519763—21no—
327#14519763—21no—
328#14519763—21no—
329#14519763—21no—
330#14519763—21no—
331#14519763—21no—
332#14519763—21no—
333#14519763—21no—
334#14519763—21no—
335#14519763—21no—
336#14519763D411yescharacteristic
337#14519763D411yescharacteristic
338#14519762—21no—
339#14519761—21no—
340#14519760—21no—
341#14519759—21no—
342#14519758—21no—
343#14519757—21no—
344#14519757—21no—
345#14519757C2311yescharacteristic
346#14519757C2311yescharacteristic
347#14519757C2311yescharacteristic
348#14519756—21no—
349#14519756—21no—
350#14519756C2311yescharacteristic
351#14519756C2311yescharacteristic
352#14519756C2311yescharacteristic
353#14519755—21no—
354#14519755—21no—
355#14519754—21no—
356#14519754—21no—
357#14519754—21no—
358#14519754—21no—
359#14519754—21no—
360#14519754—21no—
361#14519754—21no—
362#14519754—21no—
363#14519753C2311yescharacteristic
364#14519752D411yescharacteristic
365#14519752C2311yescharacteristic
366#14519751—21no—
367#14519751C2311yescharacteristic
368#14519750—21no—
369#14519750—21no—
370#14519750—21no—
371#14519750—21no—
372#14519750D411yescharacteristic
373#14519750D411yescharacteristic
374#14519749—21no—
375#14519749—21no—
376#14519749—21no—
377#14519749—21no—
378#14519749—21no—
379#14519749—21no—
380#14519749—21no—
381#14519749—21no—
382#14519749—21no—
383#14519749—21no—
384#14519748—21no—
385#14519748—21no—
386#14519748—21no—
387#14519748—21no—
388#14519748—21no—
389#14519748—21no—
390#14519748D411yescharacteristic
391#14519748C2311yescharacteristic
392#14519748C2311yescharacteristic
393#14519748C2311yescharacteristic
394#14519747—21no—
395#14519747—21no—
396#14519746—21no—
397#14519745—21no—
398#14519745—21no—
399Q8×Dic61C2311yescharacteristic
400C4×Dic122—21no—
401C4×Dic122C2311yescharacteristic
402C4×Dic122C2311yescharacteristic
403#14519742—21no—
404#14519742C2311yescharacteristic
405#14519742C2311yescharacteristic
406C4×D244—21no—
407C4×D244C2311yescharacteristic
408D4×Dic61—21no—
409D4×Dic61—21no—
410D4×Dic61—21no—
411D4×Dic61—21no—
412D4×Dic61—21no—
413D4×Dic61—21no—
414D4×Dic61—21no—
415D4×Dic61C2311yescharacteristic
416#14519739—21no—
417C4×C22⋊D61—21no—
418C4×C22⋊D61—21no—
419C4×C22⋊D61—21no—
420C4×C22⋊D61C2311yescharacteristic
421C4×C22⋊D61C2311yescharacteristic
422#14519737—21no—
423#14519737—21no—
424#14519737—21no—
425#14519735C2311yescharacteristic
426#14519733—21no—
427C4⋊C4×D61—21no—
428C4⋊C4×D61C2311yescharacteristic
429C2×C22⋊Dic61—21no—
430C2×#11758198—21no—
431C2×#11758198—21no—
432C22⋊C4×D61—21no—
433C22⋊C4×D61—21no—
434C2×C4×Dic61—21no—
435C42×D61—21no—
436C42×D61C2311yescharacteristic
437#14519710C2311yescharacteristic
438#14519709C2311yescharacteristic
439#14519708C2311yescharacteristic
440C4⋊#92418C2311yescharacteristic
441#14519706C2311yescharacteristic
442#14519706C2311yescharacteristic
443#14519702C2311yescharacteristic
444#14519702C2311yescharacteristic
445#14519702C2311yescharacteristic
446#14519702C2311yescharacteristic
447#14519702C2311yescharacteristic
448#14519701C2311yescharacteristic
449#14519701C2311yescharacteristic
450#14519700C2311yescharacteristic
451#14519700C2311yescharacteristic
452#14519700C2311yescharacteristic
453#14519700C2311yescharacteristic
454#14519700C2311yescharacteristic
455#14519699C2311yescharacteristic
456#14519698C2311yescharacteristic
457#14519698C2311yescharacteristic
458#14519698C2311yescharacteristic
459#14519698C2311yescharacteristic
460#14519697C2311yescharacteristic
461C22⋊#92418C2311yescharacteristic
462C22⋊#92418C2311yescharacteristic
463#14519689C2311yescharacteristic
464#14519689C2311yescharacteristic
465#14519689C2311yescharacteristic
466#14519689C2311yescharacteristic
467#14519688C2311yescharacteristic
468C8×Dic61C2311yescharacteristic
469C8×Dic61C2311yescharacteristic
470C2×#41×C61C2311yescharacteristic
471C2×#41×C61C2311yescharacteristic
472C2×#41×C61C2311yescharacteristic
473C22×D4×C61C2311yescharacteristic
474AGL(1,ℤ/8)×C61—24no—
475#135×C61—24no—
476C2×Q16×C61C2311yescharacteristic
477C2×SD16×C61C2311yescharacteristic
478C2×SD16×C61C2311yescharacteristic
479C2×SD16×C61C2311yescharacteristic
480C2×SD16×C61C2311yescharacteristic
481C2×D8×C61C2311yescharacteristic
482C2×D8×C61C2311yescharacteristic
483C2×D8×C61C2311yescharacteristic
484C2×D8×C61C2311yescharacteristic
485C2×M16×C61C2311yescharacteristic
486C22×C8×C61C2311yescharacteristic
487#127×C61—21no—
488#127×C61C2311yescharacteristic
489#124×C61C2311yescharacteristic
490#123×C61—21no—
491C22⋊Q8×C61C2311yescharacteristic
492#121×C61—21no—
493#121×C61—21no—
494#121×C61—21no—
495#121×C61C2311yescharacteristic
496#121×C61C2311yescharacteristic
497#121×C61C2311yescharacteristic
498#120×C61—21no—
499C4×Q8×C61C2311yescharacteristic
500C4×D4×C61—21no—
501C4×D4×C61C2311yescharacteristic
502C4×D4×C61C2311yescharacteristic
503C2×C22⋊C4×C61—21no—
504#107×C61C2311yescharacteristic
505C4⋊C8×C61C2311yescharacteristic
506#103×C61C2311yescharacteristic
507#103×C61C2311yescharacteristic
508#102×C61C2311yescharacteristic
509#102×C61C2311yescharacteristic
510#102×C61C2311yescharacteristic
511#102×C61C2311yescharacteristic
512C22⋊C8×C61C2311yescharacteristic
513C22⋊C8×C61C2311yescharacteristic
514#97×C61C2311yescharacteristic
515C24×C61—21no—
516C23×D61—21no—
517C23×D61—21no—
518#41×C61—22no—
519#41×C61—22no—
520#41×C61—22no—
521#41×C61—41no—
522#41×C61—41no—
523#41×C61—41no—
524C2×Q8×C61C2411yescharacteristic
525C2×Q8×C61C2411yescharacteristic
526C2×D4×C61—22no—
527C2×D4×C61—21no—
528C2×D4×C61—21no—
529C2×D4×C61—21no—
530C2×D4×C61—21no—
531C2×D4×C61—21no—
532C2×D4×C61—21no—
533C2×D4×C61—21no—
534C2×D4×C61—21no—
535C2×D4×C61—21no—
536C2×D4×C61—41no—
537C2×D4×C61C2×D411yescharacteristic
538C2×D4×C61C2411yescharacteristic
539C2×D4×C61C2411yescharacteristic
540C2×D4×C61C2411yescharacteristic
541C2×D4×C61C2411yescharacteristic
542C22×C4×C61—21no—
543C22×C4×C61—21no—
544C22×C4×C61—21no—
545C22×C4×C61—21no—
546C22×C4×C61C2411yescharacteristic
547C22×C4×C61C2411yescharacteristic
548C2×C22⋊D61—21no—
549C2×C22⋊D61—21no—
550C2×C22⋊D61—21no—
551C2×C22⋊D61—21no—
552C2×C22⋊D61—21no—
553C2×C22⋊D61—21no—
554C2×C22⋊D61—21no—
555C2×C22⋊D61—21no—
556C2×C22⋊D61—21no—
557C2×C22⋊D61—21no—
558C2×C22⋊D61—21no—
559C2×C22⋊D61—21no—
560C2×C22⋊D61—21no—
561C2×C22⋊D61—21no—
562C2×C22⋊D61—44no—
563C2×C22⋊D61—44no—
564C2×C22⋊D61C2×D411yescharacteristic
565C2×C22⋊D61C2×D411yescharacteristic
566C2×C22⋊D61C2×D411yescharacteristic
567C2×C22⋊D61C2×D411yescharacteristic
568C2×C22⋊D61C2×D411yescharacteristic
569C2×C22⋊D61C2×D411yescharacteristic
570C22×Dic61—21no—
571C22×Dic61—21no—
572C22×Dic61—21no—
573C22×Dic61—21no—
574C22×Dic61—21no—
575C22×Dic61—21no—
576C22×Dic61—21no—
577C22×Dic61—21no—
578C22×Dic61—21no—
579C22×Dic61—21no—
580C22×Dic61—21no—
581Q8×D61—22no—
582Q8×D61—22no—
583Q8×D61—22no—
584Q8×D61—22no—
585Q8×D61—22no—
586Q8×D61—22no—
587Q8×D61—41no—
588Q8×D61—41no—
589Q8×D61—41no—
590Q8×D61C2×D414yes—
591#11758224—22no—
592#11758224—22no—
593#11758224—22no—
594#11758224—22no—
595#11758224—22no—
596#11758224—22no—
597#11758224—22no—
598#11758224—22no—
599#11758224—22no—
600#11758224—41no—
601#11758224—41no—
602#11758224—41no—
603#11758224—41no—
604#11758224—44no—
605#11758224—44no—
606#11758224—44no—
607#11758224—44no—
608#11758224—44no—
609#11758224—44no—
610#11758224—44no—
611#11758224C2×D414yes—
612D4×D61—22no—
613D4×D61—22no—
614D4×D61—22no—
615D4×D61—41no—
616D4×D61—44no—
617#11758222—22no—
618#11758222—22no—
619#11758222—22no—
620#11758222—22no—
621#11758222—22no—
622#11758222—41no—
623#11758222—44no—
624#11758222—44no—
625#11758222—44no—
626C2×D244—21no—
627C2×D244C2×D411yescharacteristic
628C2×D244C2×D411yescharacteristic
629C2×D244C2×D411yescharacteristic
630C2×D244C2411yescharacteristic
631C2×C4×D61—21no—
632C2×C4×D61—21no—
633C2×C4×D61—21no—
634C2×C4×D61—21no—
635C2×C4×D61—21no—
636C2×C4×D61—21no—
637C2×C4×D61—21no—
638C2×C4×D61C2×D411yescharacteristic
639C2×C4×D61C2×D411yescharacteristic
640C2×C4×D61C2411yescharacteristic
641C2×C4×D61C2411yescharacteristic
642C2×C4×D61C2411yescharacteristic
643C2×Dic122—21no—
644C2×Dic122—22no—
645C2×Dic122—22no—
646C2×Dic122—22no—
647C2×Dic122—21no—
648C2×Dic122—21no—
649C2×Dic122—21no—
650C2×Dic122—21no—
651C2×Dic122—21no—
652C2×Dic122—21no—
653C2×Dic122—21no—
654C2×Dic122—41no—
655C2×Dic122—41no—
656C2×Dic122—41no—
657C2×Dic122—44no—
658C2×Dic122—44no—
659C2×Dic122—44no—
660C2×Dic122C2×D411yescharacteristic
661C2×Dic122C2×D411yescharacteristic
662C2×Dic122C2411yescharacteristic
663C2×Dic122C2411yescharacteristic
664C2×Dic122C2411yescharacteristic
665C2×Dic122C2411yescharacteristic
666C2×Dic122C2411yescharacteristic
667Q16×C61—22no—
668SD16×C61—22no—
669SD16×C61—22no—
670SD16×C61—41no—
671SD16×C61C2×D414yes—
672D8×C61—22no—
673D8×C61—22no—
674D8×C61—22no—
675D8×C61—41no—
676M16×C61—22no—
677C2×C8×C61—22no—
678C2×C8×C61C2411yescharacteristic
679C2×C8×C61C2411yescharacteristic
680C2×C8×C61C2411yescharacteristic
681C2×C8×C61C2411yescharacteristic
682C4⋊C4×C61—21no—
683C4⋊C4×C61—21no—
684C4⋊C4×C61C2×D411yescharacteristic
685C4⋊C4×C61C2411yescharacteristic
686C4⋊C4×C61C2411yescharacteristic
687C22⋊C4×C61—21no—
688C22⋊C4×C61—21no—
689C22⋊C4×C61—21no—
690C22⋊C4×C61—21no—
691C22⋊C4×C61—21no—
692C22⋊C4×C61—21no—
693C22⋊C4×C61—21no—
694C22⋊C4×C61C2×D411yescharacteristic
695C22⋊C4×C61C2×D411yescharacteristic
696C42×C61—21no—
697C42×C61C2411yescharacteristic
698C22⋊Dic61—21no—
699C22⋊Dic61—21no—
700C22⋊Dic61—21no—
701C22⋊Dic61—21no—
702C22⋊Dic61—21no—
703C22⋊Dic61—21no—
704C22⋊Dic61—21no—
705C22⋊Dic61—21no—
706C22⋊Dic61—21no—
707C22⋊Dic61—21no—
708C22⋊Dic61—21no—
709C22⋊Dic61—21no—
710C22⋊Dic61—21no—
711C22⋊Dic61C2×D411yescharacteristic
712C22⋊Dic61C2×D411yescharacteristic
713#11758202—22no—
714#11758202—22no—
715#11758202—22no—
716#11758202—41no—
717#11758202C2×D414yes—
718#11758201—22no—
719#11758200—22no—
720#11758200—22no—
721#11758200—22no—
722#11758200—22no—
723#11758200—22no—
724#11758200—22no—
725#11758200—22no—
726#11758200—41no—
727#11758200—41no—
728#11758200C2×D414yes—
729#11758199—22no—
730#11758199—41no—
731#11758198—21no—
732#11758198—21no—
733#11758198—21no—
734#11758198—21no—
735#11758198—21no—
736#11758198—21no—
737#11758198—21no—
738#11758198—21no—
739#11758198—21no—
740#11758198—21no—
741#11758198—21no—
742#11758198C2×D411yescharacteristic
743#11758198C2×D411yescharacteristic
744#11758198C2×D411yescharacteristic
745#11758198C2×D411yescharacteristic
746C4⋊Dic61—21no—
747C4⋊Dic61—21no—
748C4⋊Dic61—21no—
749C4⋊Dic61—21no—
750C4⋊Dic61—21no—
751C4⋊Dic61—21no—
752C4⋊Dic61C2×D411yescharacteristic
753C4⋊Dic61C2411yescharacteristic
754C4⋊Dic61C2411yescharacteristic
755#11758196—21no—
756#11758196—21no—
757#11758196—21no—
758#11758196—21no—
759#11758196—21no—
760#11758196—21no—
761#11758196—21no—
762#11758196—21no—
763#11758196—21no—
764#11758196C2×D411yescharacteristic
765#11758196C2×D411yescharacteristic
766C4×Dic61—21no—
767C4×Dic61—21no—
768C4×Dic61—21no—
769C4×Dic61—21no—
770C4×Dic61—21no—
771C4×Dic61—21no—
772C4×Dic61C2×D411yescharacteristic
773C4×Dic61C2×D411yescharacteristic
774C4×Dic61C2411yescharacteristic
775#11758194—22no—
776C2×#92418—22no—
777C2×#92418C2411yescharacteristic
778C2×#92418C2411yescharacteristic
779C2×#92418C2411yescharacteristic
780C2×#92418C2411yescharacteristic
781Dic244—22no—
782Dic244—22no—
783Dic244—22no—
784Dic244—22no—
785Dic244—41no—
786Dic244C2×D414yes—
787#11758190—22no—
788#11758190—22no—
789#11758190—41no—
790#11758189—22no—
791#11758189—22no—
792#11758189—22no—
793#11758189C2×D414yes—
794C8×D61—22no—
795C8×D61—22no—
796C8×D61—22no—
797C8×D61—22no—
798C23×C61—21no—
799C23×C61—21no—
800C23×C61—21no—
801C23×C61—21no—
802C23×C61—42no—
803C23×C61—81no—
804C23×C61—81no—
805C23×C61C22×D411yescharacteristic
806C23×C61C22×D411yescharacteristic
807C22×D61—21no—
808C22×D61—42no—
809C22×D61—42no—
810C22×D61—81no—
811C22×D61—81no—
812C22×D61—81no—
813C22×D61—81no—
814C22×D61C22×D411yescharacteristic
815C22×D61C22×D411yescharacteristic
816C22×D61C22×D411yescharacteristic
817Q8×C61—21no—
818Q8×C61—21no—
819Q8×C61—21no—
820Q8×C61C22×D412yes—
821D4×C61—21no—
822D4×C61—21no—
823D4×C61—21no—
824D4×C61—21no—
825D4×C61—21no—
826D4×C61—21no—
827D4×C61—21no—
828D4×C61—41no—
829D4×C61—42no—
830D4×C61—42no—
831D4×C61—42no—
832D4×C61—42no—
833D4×C61—42no—
834D4×C61—81no—
835D4×C61—81no—
836D4×C61—81no—
837D4×C61—81no—
838D4×C61C22×D412yes—
839C2×C4×C61—21no—
840C2×C4×C61—21no—
841C2×C4×C61—21no—
842C2×C4×C61—21no—
843C2×C4×C61—21no—
844C2×C4×C61—21no—
845C2×C4×C61—21no—
846C2×C4×C61—21no—
847C2×C4×C61—42no—
848C2×C4×C61—42no—
849C2×C4×C61—42no—
850C2×C4×C61—81no—
851C2×C4×C61C22×D411yescharacteristic
852C2×C4×C61C22×D411yescharacteristic
853C2×C4×C61C22×D411yescharacteristic
854C2×C4×C61C22×D411yescharacteristic
855C2×C4×C61C2511yescharacteristic
856C22⋊D61—22no—
857C22⋊D61—22no—
858C22⋊D61—24no—
859C22⋊D61—22no—
860C22⋊D61—22no—
861C22⋊D61—41no—
862C22⋊D61—41no—
863C22⋊D61—42no—
864C22⋊D61—42no—
865C22⋊D61—42no—
866C22⋊D61—42no—
867C22⋊D61—42no—
868C22⋊D61—42no—
869C22⋊D61—42no—
870C22⋊D61—42no—
871C22⋊D61—42no—
872C22⋊D61—81no—
873C22⋊D61—81no—
874C22⋊D61—81no—
875C22⋊D61—81no—
876C2×Dic61—21no—
877C2×Dic61—21no—
878C2×Dic61—24no—
879C2×Dic61—21no—
880C2×Dic61—21no—
881C2×Dic61—21no—
882C2×Dic61—21no—
883C2×Dic61—21no—
884C2×Dic61—42no—
885C2×Dic61—42no—
886C2×Dic61—42no—
887C2×Dic61—42no—
888C2×Dic61—42no—
889C2×Dic61—42no—
890C2×Dic61—42no—
891C2×Dic61—42no—
892C2×Dic61—42no—
893C2×Dic61—81no—
894C2×Dic61C22×D411yescharacteristic
895C2×Dic61C22×D411yescharacteristic
896C2×Dic61C22×D411yescharacteristic
897C2×Dic61C22×D411yescharacteristic
898C2×Dic61C22×D411yescharacteristic
899D244—22no—
900D244—22no—
901D244—21no—
902D244—21no—
903D244—41no—
904D244—81no—
905C4×D61—24no—
906C4×D61—21no—
907C4×D61—21no—
908C4×D61—21no—
909C4×D61—21no—
910C4×D61—41no—
911C4×D61—41no—
912C4×D61—42no—
913C4×D61—42no—
914C4×D61—42no—
915C4×D61—42no—
916C4×D61—42no—
917C4×D61—81no—
918C4×D61C22×D412yes—
919C4×D61H(5,𝔽2)12yes—
920Dic122—21no—
921Dic122—21no—
922Dic122—24no—
923Dic122—22no—
924Dic122—22no—
925Dic122—21no—
926Dic122—21no—
927Dic122—21no—
928Dic122—21no—
929Dic122—21no—
930Dic122—21no—
931Dic122—42no—
932Dic122—42no—
933Dic122—42no—
934Dic122—42no—
935Dic122—42no—
936Dic122—42no—
937Dic122—42no—
938Dic122C22×D412yes—
939Dic122C22×D412yes—
940C8×C61—21no—
941C8×C61—21no—
942C8×C61—21no—
943C8×C61C22×D412yes—
944#92418—21no—
945#92418—21no—
946#92418—21no—
947#92418C22×D412yes—
948#61096—611nomaximal, Sylow
949C22×C61—21no—
950C22×C61—21no—
951C22×C61—21no—
952C22×C61—21no—
953C22×C61—22no—
954C22×C61—21no—
955C22×C61—21no—
956C22×C61—41no—
957C22×C61—41no—
958C22×C61—41no—
959C22×C61—41no—
960C22×C61—41no—
961C22×C61—41no—
962C22×C61—41no—
963C22×C61—41no—
964C22×C61—41no—
965C22×C61—41no—
966C22×C61—41no—
967C22×C61—162no—
968C22×C61C23×D411yescharacteristic
969C2×D61—21no—
970C2×D61—21no—
971C2×D61—21no—
972C2×D61—21no—
973C2×D61—21no—
974C2×D61—21no—
975C2×D61—21no—
976C2×D61—21no—
977C2×D61—41no—
978C2×D61—41no—
979C2×D61—41no—
980C2×D61—162no—
981C2×D61—162no—
982C2×D61D4212yes—
983C4×C61—21no—
984C4×C61—21no—
985C4×C61—21no—
986C4×C61—22no—
987C4×C61—21no—
988C4×C61—41no—
989C4×C61—41no—
990C4×C61—41no—
991C4×C61C23×D411yescharacteristic
992C4×C61C2×H(5,𝔽2)11yescharacteristic
993Dic61—21no—
994Dic61—21no—
995Dic61—22no—
996Dic61—21no—
997Dic61—21no—
998Dic61—22no—
999Dic61—41no—
1000Dic61—41no—
1001Dic61—41no—
1002Dic61—41no—
1003Dic61—41no—
1004Dic61D4212yes—
1005C2×#578—611no—
1006C2×#577—611no—
1007#3500—611no—
1008#3497—611no—
1009#3285—611no—
1010#3285—611no—
1011#3282—611no—
1012#3282—611no—
1013#3277—611no—
1014#3277—611no—
1015#3275—611no—
1016#3275—611no—
1017#3271—611no—
1018#3271—611no—
1019#3270—611no—
1020#3270—611no—
1021#3268—611no—
1022#3268D6111yescharacteristic, complemented
1023#3266—611no—
1024#3266—611no—
1025#3153—611no—
1026#3063—611no—
1027#3062—611no—
1028#3035—611no—
1029C2×#464—611no—
1030#3013—611no—
1031#3012—611no—
1032#3011—611no—
1033#3010—611no—
1034C4×#137—611no—
1035#2935—611no—
1036C2×C61—42no—
1037C2×C61—41no—
1038C2×C61—41no—
1039C2×C61—81no—
1040C2×C61—81no—
1041C2×C61—81no—
1042C2×C61C2×D4211yescharacteristic
1043C2×C61#358411yescharacteristic
1044C2×C61#358611yescharacteristic
1045D61—22no—
1046D61—41no—
1047D61—41no—
1048D61—81no—
1049C2×2−1+4—611no—
1050C2×2−1+4—611no—
1051C2×2−1+4—611no—
1052C2×H(5,𝔽2)—611no—
1053#578—1228no—
1054#577—1228no—
1055C2×#137—611no—
1056C2×#137—611no—
1057C2×#137—611no—
1058C2×#137—611no—
1059C2×#137—611no—
1060C2×#137—611no—
1061C2×#137—611no—
1062C2×#137—611no—
1063C2×#137—611no—
1064C2×AGL(1,ℤ/8)—611no—
1065C2×AGL(1,ℤ/8)—611no—
1066C2×AGL(1,ℤ/8)—611no—
1067C2×AGL(1,ℤ/8)C2×D6111yescharacteristic
1068C2×#135—611no—
1069C2×#135—611no—
1070C2×#135—611no—
1071C2×#135—611no—
1072C2×#135—611no—
1073C2×#135C2×D6111yescharacteristic, complemented
1074C22×Q16—611no—
1075C22×Q16—611no—
1076C22×Q16—611no—
1077C22×SD16—611no—
1078C22×SD16—611no—
1079C22×SD16—611no—
1080C2×#131—611no—
1081C2×#131—611no—
1082#550—611no—
1083#550—1221no—
1084#550C2×D6111yescharacteristic, complemented
1085D4×Q8—611no—
1086D4×Q8—611no—
1087D4×Q8—1221no—
1088#548—611no—
1089#548—611no—
1090#548—611no—
1091#548—611no—
1092#548—611no—
1093#548—611no—
1094#548—611no—
1095#548—611no—
1096#548—1221no—
1097#548—1221no—
1098#546—611no—
1099#546—611no—
1100#546—611no—
1101#546—1221no—
1102#546—1221no—
1103#546—1221no—
1104#546—1221no—
1105#546C2×D6111yescharacteristic
1106#537—611no—
1107#537—611no—
1108#537—1221no—
1109#537—1221no—
1110#536—611no—
1111#536—1221no—
1112#535—611no—
1113#535—1221no—
1114#532—611no—
1115#532—611no—
1116#532—1221no—
1117#532—1221no—
1118#532—1221no—
1119C2×#124—611no—
1120C2×#124—1221no—
1121C4×#41—611no—
1122C2×C4×Q8—611no—
1123#497—611no—
1124#497—611no—
1125#496—611no—
1126#496C2×D6111yescharacteristic, complemented
1127#495—611no—
1128#495—611no—
1129#495—611no—
1130#495—611no—
1131#470—611no—
1132#470—611no—
1133#469—611no—
1134#469—611no—
1135#468—611no—
1136#468—611no—
1137#468—611no—
1138#468C2×D6111yescharacteristic, complemented
1139#467—611no—
1140#467—611no—
1141#466—611no—
1142#466C2×D6111yescharacteristic, complemented
1143#465—611no—
1144#465—611no—
1145#465—611no—
1146#465—611no—
1147#464—611no—
1148#464—611no—
1149#464—611no—
1150#464—611no—
1151#464—611no—
1152#464—611no—
1153#464—611no—
1154#464—611no—
1155#464—611no—
1156#464C2×D6111yescharacteristic, complemented
1157#463—611no—
1158#463—611no—
1159#462—611no—
1160#461—611no—
1161#460—611no—
1162#459C2×D6111yescharacteristic, complemented
1163#452—611no—
1164#452—611no—
1165#452—611no—
1166#452—611no—
1167#452—611no—
1168#452—611no—
1169#452—611no—
1170#452C2×D6111yescharacteristic, complemented
1171#451—611no—
1172#451—611no—
1173#451—611no—
1174#451—611no—
1175#451—611no—
1176#451—611no—
1177#450—611no—
1178#450—611no—
1179#449—611no—
1180#449—611no—
1181#449—611no—
1182#449—611no—
1183#449—611no—
1184#449—611no—
1185#449C2×D6111yescharacteristic, complemented
1186#449C2×D6111yescharacteristic, complemented
1187#448—611no—
1188#448—611no—
1189#448—611no—
1190#448—611no—
1191#448—611no—
1192#448—611no—
1193#447—611no—
1194#447C2×D6111yescharacteristic
1195#441—611no—
1196#441—611no—
1197#440—611no—
1198#440C2×D6111yescharacteristic, complemented
1199C4×Q16—611no—
1200C4×Q16—611no—
1201C4×SD16—611no—
1202C4×SD16—611no—
1203#436—611no—
1204#436—611no—
1205#435—611no—
1206#435—611no—
1207#435—611no—
1208#435C2×D6111yescharacteristic, complemented
1209C8×D4—611no—
1210C8×D4—611no—
1211#428—611no—
1212C2×C4⋊C8—611no—
1213#419—611no—
1214#417—611no—
1215#416—611no—
1216#416—611no—
1217C2×#103—611no—
1218C2×#102—611no—
1219#408—611no—
1220#408—611no—
1221C4×M16—611no—
1222C61#6109611yescharacteristic, complemented, Sylow
12232−1+4—1224no—
12242−1+4—1224no—
12252−1+4—1224no—
12262−1+4—2442no—
12272−1+4—2442no—
12282−1+4—2442no—
1229H(5,𝔽2)—1224no—
1230H(5,𝔽2)—2442no—
1231C2×#41—611no—
1232C2×#41—611no—
1233C2×#41—611no—
1234C2×#41—611no—
1235C2×#41—611no—
1236C2×#41—611no—
1237C2×#41—611no—
1238C2×#41—611no—
1239C2×#41—611no—
1240C2×#41—611no—
1241C2×#41—1221no—
1242C2×#41—1221no—
1243C2×#41—1221no—
1244C2×#41—1221no—
1245C2×#41—1221no—
1246C2×#41—1221no—
1247C2×#41—1221no—
1248C2×#41—1221no—
1249C2×#41—1221no—
1250C2×#41—1221no—
1251C2×#41C22×D6111yescharacteristic
1252C2×#41C22×D6111yescharacteristic
1253C2×#41C22×D6111yescharacteristic
1254C22×Q8—611no—
1255C22×Q8—611no—
1256C22×Q8—611no—
1257C22×Q8—611no—
1258C22×Q8—611no—
1259C22×Q8—611no—
1260C22×Q8—611no—
1261C22×Q8—611no—
1262C22×Q8—1221no—
1263C22×Q8—1221no—
1264C22×Q8—1221no—
1265C22×D4—611no—
1266C22×D4—611no—
1267C22×D4—1221no—
1268C22×D4—1221no—
1269C22×D4—1221no—
1270C22×D4C22×D6111yescharacteristic
1271#137—618no—
1272#137—1224no—
1273#137—1224no—
1274#137—1224no—
1275#137—1224no—
1276#137—1224no—
1277#137—1224no—
1278#137—1224no—
1279#137—2442no—
1280AGL(1,ℤ/8)—24no—
1281AGL(1,ℤ/8)—1224no—
1282AGL(1,ℤ/8)—1224no—
1283AGL(1,ℤ/8)—2442no—
1284#135—24no—
1285#135—1224no—
1286#135—1224no—
1287#135—1224no—
1288#135—1224no—
1289#135—1224no—
1290C2×Q16—611no—
1291C2×Q16—611no—
1292C2×Q16—611no—
1293C2×Q16—611no—
1294C2×Q16—611no—
1295C2×Q16—611no—
1296C2×Q16—611no—
1297C2×Q16—611no—
1298C2×Q16—611no—
1299C2×Q16—611no—
1300C2×Q16—611no—
1301C2×Q16—1224no—
1302C2×Q16—1224no—
1303C2×Q16—1224no—
1304C2×Q16C22×D6111yescharacteristic
1305C2×SD16—611no—
1306C2×SD16—611no—
1307C2×SD16—611no—
1308C2×SD16—611no—
1309C2×SD16—611no—
1310C2×SD16—611no—
1311C2×SD16—611no—
1312C2×SD16—611no—
1313C2×SD16—611no—
1314C2×SD16—611no—
1315C2×SD16—611no—
1316C2×SD16—611no—
1317C2×SD16—611no—
1318C2×SD16—611no—
1319C2×SD16—1224no—
1320C2×SD16—1224no—
1321C2×SD16—1224no—
1322C2×SD16C22×D6111yescharacteristic
1323C2×SD16C22×D6111yescharacteristic
1324C2×SD16C22×D6111yescharacteristic
1325C2×SD16C22×D6111yescharacteristic
1326C2×D8—611no—
1327C2×D8—611no—
1328C2×D8C22×D6111yescharacteristic
1329C2×D8C22×D6111yescharacteristic
1330C2×D8C22×D6111yescharacteristic
1331C2×D8C22×D6111yescharacteristic
1332#131—1224no—
1333#131—1224no—
1334C2×M16—611no—
1335C2×M16—611no—
1336C2×M16—611no—
1337C2×M16—611no—
1338C2×M16—611no—
1339C2×M16C22×D6111yescharacteristic
1340C22×C8—611no—
1341C22×C8—611no—
1342C22×C8—611no—
1343C22×C8—611no—
1344C22×C8—611no—
1345C22×C8C22×D6111yescharacteristic
1346C4⋊Q8—611no—
1347C4⋊Q8—611no—
1348C4⋊Q8—1221no—
1349C4⋊Q8—1221no—
1350C4⋊Q8—1221no—
1351#127—21no—
1352#127—611no—
1353#127—1221no—
1354#127—1221no—
1355#127C22×D6111yescharacteristic
1356#124—611no—
1357#124—611no—
1358#124—611no—
1359#124—611no—
1360#124—611no—
1361#124—611no—
1362#124—611no—
1363#124—1221no—
1364#124—1221no—
1365#124—1221no—
1366#124—1221no—
1367#124—1221no—
1368#124—1221no—
1369#124—1221no—
1370#124—1221no—
1371#124—1221no—
1372#124—1221no—
1373#124—1221no—
1374#124—1221no—
1375#124C22×D6111yescharacteristic
1376#123—21no—
1377#123—1221no—
1378#123—1221no—
1379#123—1221no—
1380#123—1221no—
1381#123—1221no—
1382C22⋊Q8—611no—
1383C22⋊Q8—611no—
1384C22⋊Q8—611no—
1385C22⋊Q8—611no—
1386C22⋊Q8—611no—
1387C22⋊Q8—611no—
1388C22⋊Q8—611no—
1389C22⋊Q8—1221no—
1390C22⋊Q8—1221no—
1391C22⋊Q8—1221no—
1392C22⋊Q8—1221no—
1393C22⋊Q8—1221no—
1394C22⋊Q8—1221no—
1395C22⋊Q8—1221no—
1396C22⋊Q8—1221no—
1397C22⋊Q8—1221no—
1398C22⋊Q8—1221no—
1399C22⋊Q8—1221no—
1400C22⋊Q8—1221no—
1401C22⋊Q8—1221no—
1402C22⋊Q8—1221no—
1403C22⋊Q8C22×D6111yescharacteristic
1404#121—21no—
1405#121—21no—
1406#121—21no—
1407#121—611no—
1408#121—611no—
1409#121—611no—
1410#121—611no—
1411#121—611no—
1412#121—611no—
1413#121—611no—
1414#121—611no—
1415#121—611no—
1416#121—1221no—
1417#121—1221no—
1418#121—1221no—
1419#121—1221no—
1420#121—1221no—
1421#121—1221no—
1422#121—1221no—
1423#121—1221no—
1424#121—1221no—
1425#121—1221no—
1426#121—1221no—
1427#121—1221no—
1428#121—1221no—
1429#121—1221no—
1430#121—1221no—
1431#121—1221no—
1432#121—1221no—
1433#121—1221no—
1434#121—1221no—
1435#121—1221no—
1436#121—1221no—
1437#121C22×D6111yescharacteristic
1438#121C22×D6111yescharacteristic
1439#121C22×D6111yescharacteristic
1440#120—21no—
1441#120—1221no—
1442#120—1221no—
1443#120—1221no—
1444#120—1221no—
1445#120—1221no—
1446C4×Q8—611no—
1447C4×Q8—611no—
1448C4×Q8—611no—
1449C4×Q8—611no—
1450C4×Q8—611no—
1451C4×Q8—1221no—
1452C4×Q8—1221no—
1453C4×Q8C22×D6111yescharacteristic
1454C4×D4—21no—
1455C4×D4—611no—
1456C4×D4—611no—
1457C4×D4—611no—
1458C4×D4—611no—
1459C4×D4—1221no—
1460C4×D4—1221no—
1461C4×D4—1221no—
1462C4×D4—1221no—
1463C4×D4—1221no—
1464C4×D4—1221no—
1465C4×D4—1221no—
1466C4×D4—1221no—
1467C4×D4—1221no—
1468C4×D4—1221no—
1469C4×D4—1221no—
1470C4×D4—1221no—
1471C4×D4—1221no—
1472C4×D4—1221no—
1473C4×D4—1221no—
1474C4×D4C22×D6111yescharacteristic
1475C4×D4C22×D6111yescharacteristic
1476#117—611no—
1477#117—1221no—
1478C2×C4⋊C4—611no—
1479C2×C4⋊C4—1221no—
1480C2×C22⋊C4—21no—
1481C2×C22⋊C4—1221no—
1482C2×C22⋊C4—1221no—
1483C2×C22⋊C4—1221no—
1484C2×C22⋊C4—1221no—
1485C2×C22⋊C4—1221no—
1486C2×C42—611no—
1487C2×C42—1221no—
1488C2×C42—1221no—
1489#107—611no—
1490#107C22×D6111yescharacteristic
1491#106—611no—
1492#106—611no—
1493C4⋊C8—611no—
1494C4⋊C8—611no—
1495C4⋊C8—611no—
1496C4⋊C8C22×D6111yescharacteristic
1497#103—611no—
1498#103—611no—
1499#103—611no—
1500#103—611no—
1501#103—611no—
1502#103—611no—
1503#103—611no—
1504#103—611no—
1505#103—611no—
1506#103—611no—
1507#103—611no—
1508#103—611no—
1509#103C22×D6111yescharacteristic
1510#103C22×D6111yescharacteristic
1511#102—611no—
1512#102—611no—
1513#102—611no—
1514#102—611no—
1515#102—611no—
1516#102—611no—
1517#102C22×D6111yescharacteristic
1518#102C22×D6111yescharacteristic
1519#102C22×D6111yescharacteristic
1520#102C22×D6111yescharacteristic
1521C22⋊C8—611no—
1522C22⋊C8—611no—
1523C22⋊C8—611no—
1524C22⋊C8—611no—
1525C22⋊C8—611no—
1526C22⋊C8—611no—
1527C22⋊C8C22×D6111yescharacteristic
1528C22⋊C8C22×D6111yescharacteristic
1529#97—611no—
1530#97C22×D6111yescharacteristic
1531C4×C8—611no—
1532C4×C8—611no—
1533C24—21no—
1534C24—1221no—
1535C24—1221no—
1536#41—22no—
1537#41—22no—
1538#41—22no—
1539#41—41no—
1540#41—41no—
1541#41—41no—
1542#41—614no—
1543#41—1222no—
1544#41—1222no—
1545#41—1222no—
1546#41—1222no—
1547#41—1222no—
1548#41—1222no—
1549#41—1222no—
1550#41—1222no—
1551#41—1222no—
1552#41—1222no—
1553#41—1222no—
1554#41—1222no—
1555#41—1222no—
1556#41—1222no—
1557#41—2441no—
1558#41—2444no—
1559#41—2444no—
1560#41—2444no—
1561#41—2441no—
1562#41—2441no—
1563#41—2441no—
1564#41—2441no—
1565#41—2444no—
1566#41—2444no—
1567#41—2444no—
1568#41—2444no—
1569#41—2444no—
1570#41—2444no—
1571#41—2444no—
1572C2×Q8—611no—
1573C2×Q8—611no—
1574C2×Q8—614no—
1575C2×Q8—611no—
1576C2×Q8—611no—
1577C2×Q8—611no—
1578C2×Q8—611no—
1579C2×Q8—611no—
1580C2×Q8—1221no—
1581C2×Q8—1221no—
1582C2×Q8—1221no—
1583C2×Q8—1221no—
1584C2×Q8—1221no—
1585C2×Q8—1222no—
1586C2×Q8—1222no—
1587C2×Q8—1222no—
1588C2×Q8—1222no—
1589C2×Q8—1222no—
1590C2×Q8—1222no—
1591C2×Q8—1221no—
1592C2×Q8—1221no—
1593C2×Q8—1221no—
1594C2×Q8—1222no—
1595C2×Q8—1222no—
1596C2×Q8—1222no—
1597C2×Q8—2441no—
1598C2×Q8—2441no—
1599C2×Q8—2441no—
1600C2×Q8—2444no—
1601C2×Q8—2444no—
1602C2×Q8—2444no—
1603C2×Q8—2441no—
1604C2×Q8—2441no—
1605C2×Q8—2441no—
1606C2×Q8C23×D6111yescharacteristic
1607C2×Q8C23×D6111yescharacteristic
1608C2×D4—22no—
1609C2×D4—21no—
1610C2×D4—21no—
1611C2×D4—21no—
1612C2×D4—21no—
1613C2×D4—21no—
1614C2×D4—21no—
1615C2×D4—21no—
1616C2×D4—21no—
1617C2×D4—21no—
1618C2×D4—41no—
1619C2×D4—611no—
1620C2×D4—611no—
1621C2×D4—611no—
1622C2×D4—611no—
1623C2×D4—611no—
1624C2×D4—611no—
1625C2×D4—611no—
1626C2×D4—611no—
1627C2×D4—611no—
1628C2×D4—611no—
1629C2×D4—1221no—
1630C2×D4—1222no—
1631C2×D4—1222no—
1632C2×D4—1221no—
1633C2×D4—1221no—
1634C2×D4—1221no—
1635C2×D4—1222no—
1636C2×D4—1221no—
1637C2×D4—1221no—
1638C2×D4—1221no—
1639C2×D4—1221no—
1640C2×D4—1221no—
1641C2×D4—1221no—
1642C2×D4—1221no—
1643C2×D4—1221no—
1644C2×D4—1221no—
1645C2×D4—1221no—
1646C2×D4—1221no—
1647C2×D4—2441no—
1648C2×D4—2444no—
1649C2×D4—2444no—
1650C2×D4—2444no—
1651C2×D4D4×D6111yescharacteristic
1652C2×D4C23×D6111yescharacteristic
1653C2×D4C23×D6111yescharacteristic
1654C2×D4C23×D6111yescharacteristic
1655C2×D4C23×D6111yescharacteristic
1656C22×C4—21no—
1657C22×C4—21no—
1658C22×C4—21no—
1659C22×C4—21no—
1660C22×C4—611no—
1661C22×C4—611no—
1662C22×C4—611no—
1663C22×C4—611no—
1664C22×C4—611no—
1665C22×C4—1221no—
1666C22×C4—1221no—
1667C22×C4—1221no—
1668C22×C4—1221no—
1669C22×C4—1221no—
1670C22×C4—1221no—
1671C22×C4—1221no—
1672C22×C4—1221no—
1673C22×C4—1221no—
1674C22×C4—1221no—
1675C22×C4—1221no—
1676C22×C4—1221no—
1677C22×C4—1221no—
1678C22×C4—1221no—
1679C22×C4—1221no—
1680C22×C4—1221no—
1681C22×C4—1221no—
1682C22×C4—1221no—
1683C22×C4C23×D6111yescharacteristic
1684C22×C4C23×D6111yescharacteristic
1685Q16—22no—
1686Q16—614no—
1687Q16—614no—
1688Q16—1222no—
1689Q16—1222no—
1690Q16—1222no—
1691Q16—1222no—
1692Q16—1222no—
1693Q16—1222no—
1694Q16—1222no—
1695Q16—2441no—
1696Q16—2441no—
1697SD16—22no—
1698SD16—22no—
1699SD16—41no—
1700SD16—614no—
1701SD16—1222no—
1702SD16—1222no—
1703SD16—1222no—
1704SD16—1222no—
1705SD16—1222no—
1706SD16—1222no—
1707SD16—1222no—
1708SD16—1222no—
1709SD16—1222no—
1710SD16—1222no—
1711SD16—2441no—
1712SD16—2441no—
1713SD16—2441no—
1714SD16D4×D6114yes—
1715D8—22no—
1716D8—22no—
1717D8—22no—
1718D8—41no—
1719D8—1222no—
1720D8—2441no—
1721M16—22no—
1722M16—614no—
1723M16—1222no—
1724M16—1222no—
1725M16—1222no—
1726M16—1222no—
1727C2×C8—22no—
1728C2×C8—611no—
1729C2×C8—611no—
1730C2×C8—611no—
1731C2×C8—611no—
1732C2×C8—1222no—
1733C2×C8—1222no—
1734C2×C8—1222no—
1735C2×C8—1222no—
1736C2×C8—1222no—
1737C2×C8C23×D6111yescharacteristic
1738C2×C8C23×D6111yescharacteristic
1739C2×C8C23×D6111yescharacteristic
1740C2×C8C23×D6111yescharacteristic
1741C4⋊C4—21no—
1742C4⋊C4—21no—
1743C4⋊C4—611no—
1744C4⋊C4—611no—
1745C4⋊C4—611no—
1746C4⋊C4—611no—
1747C4⋊C4—611no—
1748C4⋊C4—1221no—
1749C4⋊C4—1221no—
1750C4⋊C4—1221no—
1751C4⋊C4—1221no—
1752C4⋊C4—1221no—
1753C4⋊C4—1221no—
1754C4⋊C4—1221no—
1755C4⋊C4—1221no—
1756C4⋊C4—1221no—
1757C4⋊C4—1221no—
1758C4⋊C4—1221no—
1759C4⋊C4—1221no—
1760C4⋊C4—1221no—
1761C4⋊C4—1221no—
1762C4⋊C4—1221no—
1763C4⋊C4D4×D6111yescharacteristic
1764C4⋊C4C23×D6111yescharacteristic
1765C4⋊C4C23×D6111yescharacteristic
1766C22⋊C4—21no—
1767C22⋊C4—21no—
1768C22⋊C4—21no—
1769C22⋊C4—21no—
1770C22⋊C4—21no—
1771C22⋊C4—21no—
1772C22⋊C4—21no—
1773C22⋊C4—611no—
1774C22⋊C4—611no—
1775C22⋊C4—611no—
1776C22⋊C4—611no—
1777C22⋊C4—611no—
1778C22⋊C4—611no—
1779C22⋊C4—1221no—
1780C22⋊C4—1221no—
1781C22⋊C4—1221no—
1782C22⋊C4—1221no—
1783C22⋊C4—1221no—
1784C22⋊C4—1221no—
1785C22⋊C4—1221no—
1786C22⋊C4—1221no—
1787C22⋊C4—1221no—
1788C22⋊C4—1221no—
1789C22⋊C4—1221no—
1790C22⋊C4—1221no—
1791C22⋊C4—1221no—
1792C22⋊C4—1221no—
1793C22⋊C4—1221no—
1794C22⋊C4—1221no—
1795C22⋊C4—1221no—
1796C22⋊C4—1221no—
1797C22⋊C4—1221no—
1798C22⋊C4—1221no—
1799C22⋊C4—1221no—
1800C22⋊C4—1221no—
1801C22⋊C4—1221no—
1802C22⋊C4—1221no—
1803C22⋊C4D4×D6111yescharacteristic
1804C22⋊C4D4×D6111yescharacteristic
1805C42—21no—
1806C42—611no—
1807C42—611no—
1808C42—611no—
1809C42—1221no—
1810C42—1221no—
1811C42—1221no—
1812C42—1221no—
1813C42—1221no—
1814C42—1221no—
1815C42C23×D6111yescharacteristic
1816C23—21no—
1817C23—21no—
1818C23—21no—
1819C23—21no—
1820C23—42no—
1821C23—81no—
1822C23—81no—
1823C23—611no—
1824C23—611no—
1825C23—611no—
1826C23—1221no—
1827C23—4881no—
1828C23—4881no—
1829C23—4881no—
1830C23—4881no—
1831C23—2442no—
1832C23—2442no—
1833C23C2×D4×D6111yescharacteristic
1834C23C2×D4×D6111yescharacteristic
1835Q8—21no—
1836Q8—21no—
1837Q8—21no—
1838Q8—612no—
1839Q8—612no—
1840Q8—1224no—
1841Q8—1222no—
1842Q8—1222no—
1843Q8—1221no—
1844Q8—1221no—
1845Q8—1221no—
1846Q8—1221no—
1847Q8—1221no—
1848Q8—1221no—
1849Q8—1221no—
1850Q8—1221no—
1851Q8—2442no—
1852Q8—2442no—
1853Q8—2442no—
1854Q8—2442no—
1855Q8—2442no—
1856Q8—2442no—
1857Q8—2442no—
1858Q8C2×D4×D6112yes—
1859D4—21no—
1860D4—21no—
1861D4—21no—
1862D4—21no—
1863D4—21no—
1864D4—21no—
1865D4—21no—
1866D4—41no—
1867D4—42no—
1868D4—42no—
1869D4—42no—
1870D4—42no—
1871D4—42no—
1872D4—81no—
1873D4—81no—
1874D4—81no—
1875D4—81no—
1876D4—1222no—
1877D4—1222no—
1878D4—1222no—
1879D4—1222no—
1880D4—1222no—
1881D4—1222no—
1882D4—1224no—
1883D4—1221no—
1884D4—1221no—
1885D4—4881no—
1886D4—4881no—
1887D4—4881no—
1888D4—4881no—
1889D4—4881no—
1890D4—2441no—
1891D4—2442no—
1892D4—2441no—
1893D4—2441no—
1894D4—2442no—
1895D4—2442no—
1896D4—2442no—
1897D4—2442no—
1898D4—2442no—
1899D4—2442no—
1900D4—2442no—
1901D4—2442no—
1902D4C2×D4×D6112yes—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—21no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—21no—
1909C2×C4—21no—
1910C2×C4—21no—
1911C2×C4—42no—
1912C2×C4—42no—
1913C2×C4—42no—
1914C2×C4—81no—
1915C2×C4—611no—
1916C2×C4—612no—
1917C2×C4—612no—
1918C2×C4—611no—
1919C2×C4—611no—
1920C2×C4—611no—
1921C2×C4—611no—
1922C2×C4—1224no—
1923C2×C4—1224no—
1924C2×C4—1221no—
1925C2×C4—1221no—
1926C2×C4—1221no—
1927C2×C4—1221no—
1928C2×C4—1221no—
1929C2×C4—1221no—
1930C2×C4—1221no—
1931C2×C4—1221no—
1932C2×C4—1221no—
1933C2×C4—1221no—
1934C2×C4—1221no—
1935C2×C4—4881no—
1936C2×C4—4881no—
1937C2×C4—2441no—
1938C2×C4—2441no—
1939C2×C4—2442no—
1940C2×C4—2442no—
1941C2×C4—2442no—
1942C2×C4—2442no—
1943C2×C4—2442no—
1944C2×C4—2442no—
1945C2×C4—2442no—
1946C2×C4—2442no—
1947C2×C4—2442no—
1948C2×C4—2442no—
1949C2×C4—2442no—
1950C2×C4—2442no—
1951C2×C4—2442no—
1952C2×C4—2442no—
1953C2×C4C2×D4×D6111yescharacteristic
1954C2×C4C2×D4×D6111yescharacteristic
1955C2×C4C2×D4×D6111yescharacteristic
1956C2×C4C2×D4×D6111yescharacteristic
1957C2×C4C24×D6111yescharacteristic
1958C8—21no—
1959C8—21no—
1960C8—21no—
1961C8—612no—
1962C8—1221no—
1963C8—1221no—
1964C8—1221no—
1965C8C2×D4×D6112yes—
1966C22—21no—
1967C22—21no—
1968C22—22no—
1969C22—21no—
1970C22—21no—
1971C22—21no—
1972C22—21no—
1973C22—41no—
1974C22—41no—
1975C22—41no—
1976C22—41no—
1977C22—41no—
1978C22—41no—
1979C22—41no—
1980C22—41no—
1981C22—41no—
1982C22—41no—
1983C22—41no—
1984C22—162no—
1985C22—612no—
1986C22—1221no—
1987C22—1221no—
1988C22—1221no—
1989C22—1221no—
1990C22—1221no—
1991C22—1221no—
1992C22—1221no—
1993C22—1221no—
1994C22—9762no—
1995C22—9762no—
1996C22—2441no—
1997C22—2441no—
1998C22—2441no—
1999C22C22×D4×D6111yescharacteristic
2000C4—21no—
2001C4—21no—
2002C4—22no—
2003C4—21no—
2004C4—21no—
2005C4—41no—
2006C4—41no—
2007C4—41no—
2008C4—612no—
2009C4—1221no—
2010C4—1221no—
2011C4—1222no—
2012C4—1222no—
2013C4—1221no—
2014C4—1221no—
2015C4—2441no—
2016C4—2441no—
2017C4—2441no—
2018C4—2441no—
2019C4—2441no—
2020C4C22×D4×D6111yescharacteristic
2021C4H(5,𝔽2)×D6111yescharacteristic
2022C2—41no—
2023C2—41no—
2024C2—42no—
2025C2—81no—
2026C2—81no—
2027C2—81no—
2028C2—1222no—
2029C2—4881no—
2030C2—2441no—
2031C2—2441no—
2032C2D42×D6111yescharacteristic
2033C2#2146058711yescharacteristic
2034C2#2146060311yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3268C2
socleC22×C61C23×D4
hypercenter#3268D61
hypocenterC61#61096
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3268

Complements

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

NH ≅ G/Ntype
1. C2×#16840576C2semidirect
2. C2×#16840572C2semidirect
3. #21459605C2semidirect
4. #21459584C2semidirect
5. #21457558C2semidirect
6. #21457557C2semidirect
7. #21457530C2semidirect
8. #21457520C2semidirect
9. #21457473C2semidirect
10. #21457469C2semidirect
11. #21457450C2semidirect
12. #21457448C2semidirect
13. #21457403C2semidirect
14. #21457400C2semidirect
15. #21457394C2semidirect
16. #21457384C2semidirect
17. #21457365C2semidirect
18. #21457331C2semidirect
19. #21457325C2semidirect
20. #21456284C2semidirect
21. #21455505C2semidirect
22. #21455498C2semidirect
23. #21455267C2semidirect
24. #464×D61C2semidirect
25. #21455132C2semidirect
26. #21455118C2semidirect
27. #21455111C2semidirect
28. #21455102C2semidirect
29. #21454641C2semidirect
30. #21454560C2semidirect
31. C61×#3268C2semidirect
34. C2×#14519824C22semidirect
39. C2×#14519807C22semidirect
40. C2×#14519807C22semidirect
43. C2×#14519806C22semidirect
44. C2×#14519806C22semidirect
45. C2×#14519806C22semidirect
46. C2×#14519806C22semidirect
54. C2×#14519796C22semidirect
55. C22×Dic244C22semidirect
56. C2×Q16×D61C22semidirect
57. C2×Q16×D61C22semidirect
62. C2×#14519783C22semidirect
64. #16840432C22semidirect
65. Q8×D244C22semidirect
67. D4×Dic122C22semidirect
71. #16840419C22semidirect
72. #16840419C22semidirect
76. #16840418C22semidirect
77. #16840418C22semidirect
88. #16840341C22semidirect
94. #16840310C22semidirect
101. C4×Q8×D61C22semidirect
102. #16840157C22semidirect
103. #16840156C22semidirect
104. #16840149C22semidirect
105. #16840145C22semidirect
106. #16840145C22semidirect
107. #16840143C22semidirect
108. #16840143C22semidirect
109. #16840020C22semidirect
110. #16840019C22semidirect
111. #16840013C22semidirect
112. #16840012C22semidirect
113. #16840009C22semidirect
114. #16840007C22semidirect
115. #16840006C22semidirect
116. #16840004C22semidirect
117. #16840001C22semidirect
118. #16839997C22semidirect
119. #16839991C22semidirect
120. #16839990C22semidirect
121. #16839989C22semidirect
122. #16839988C22semidirect
123. #16839987C22semidirect
124. #16839986C22semidirect
125. #16839985C22semidirect
126. #16839984C22semidirect
127. #16839983C22semidirect
128. #16839983C22semidirect
129. #16839983C22semidirect
130. #16839982C22semidirect
131. #16839981C22semidirect
132. #16839975C22semidirect
133. #16839975C22semidirect
134. #16839973C22semidirect
135. #16839967C22semidirect
136. #16839959C22semidirect
139. #16839925C22semidirect
140. #16839925C22semidirect
141. #16839924C22semidirect
142. #16839924C22semidirect
143. #16839921C22semidirect
144. #16839920C22semidirect
145. #16839920C22semidirect
146. #16839919C22semidirect
147. #16839919C22semidirect
148. #16839917C22semidirect
149. #16839916C22semidirect
152. #16839908C22semidirect
153. #16839907C22semidirect
156. #16839904C22semidirect
157. #16839904C22semidirect
158. #16839903C22semidirect
159. #16839902C22semidirect
160. #16839900C22semidirect
161. #16839900C22semidirect
162. #16839899C22semidirect
163. #16839899C22semidirect
165. #16839870C22semidirect
166. #16839867C22semidirect
167. #16839862C22semidirect
168. #16839856C22semidirect
169. #16839854C22semidirect
170. #16839853C22semidirect
171. SD16×Dic61C22semidirect
172. #16839838C22semidirect
173. #16839837C22semidirect
174. #16839835C22semidirect
175. #16839834C22semidirect
176. #16839832C22semidirect
177. C8×C22⋊D61C22semidirect
178. #16839825C22semidirect
179. #16839803C22semidirect
180. C4⋊C8×D61C22semidirect
181. #16839769C22semidirect
183. #16839755C22semidirect
184. #16839755C22semidirect
185. #103×D61C22semidirect
188. #16839727C22semidirect
189. #16839714C22semidirect
191. C2×#135×C61C22semidirect
192. C61×#550C22semidirect
194. C61×#496C22semidirect
195. C61×#468C22semidirect
196. C61×#466C22semidirect
197. C61×#464C22semidirect
198. C61×#459C22semidirect
199. C61×#452C22semidirect
200. C61×#449C22semidirect
201. C61×#449C22semidirect
203. C61×#440C22semidirect
204. C61×#435C22semidirect
257. #14519806D4semidirect
1022. #3268D61semidirect
1073. C2×#135C2×D61semidirect
1084. #550C2×D61semidirect
1126. #496C2×D61semidirect
1138. #468C2×D61semidirect
1142. #466C2×D61semidirect
1156. #464C2×D61semidirect
1162. #459C2×D61semidirect
1170. #452C2×D61semidirect
1185. #449C2×D61semidirect
1186. #449C2×D61semidirect
1198. #440C2×D61semidirect
1208. #435C2×D61semidirect
1222. C61#61096semidirect

Maximal subgroups

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

subgroupindex
C2×#168405762
C2×#168405722
#214596052
#214595842
#214575582
#214575572
#214575302
#214575202
#214574732
#214574692
#214574502
#214574482
#214574032
#214574002
#214573942
#214573842
#214573652
#214573312
#214573252
#214562842
#214555052
#214554982
#214552672
#464×D612
#214551322
#214551182
#214551112
#214551022
#214546412
#214545602
C61×#32682
#6109661