Finite Group Databasebeta

← #30555932

Subgroups — #30555932

Order 15616.

2810 conjugacy classes of subgroups.

The subgroup lattice has 2124 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840569C211yesmaximal, characteristic, complemented
2C2×#16840566C211yesmaximal, characteristic, complemented
3#21459605C211yesmaximal, characteristic, complemented
4#21459596C211yesmaximal, characteristic, complemented
5#21457410C211yesmaximal, characteristic, complemented
6#21457408C211yesmaximal, characteristic, complemented
7#21457402C211yesmaximal, characteristic, complemented
8#21457400C211yesmaximal, characteristic, complemented
9#21457361C211yesmaximal, characteristic, complemented
10#21457359C211yesmaximal, characteristic, complemented
11#21457353C211yesmaximal, characteristic, complemented
12#21457321C211yesmaximal, characteristic, complemented
13#21457319C211yesmaximal, characteristic, complemented
14#21457313C211yesmaximal, characteristic, complemented
15#21457311C211yesmaximal, characteristic, complemented
16#21457302C211yesmaximal, characteristic, complemented
17#21457300C211yesmaximal, characteristic, complemented
18#21457294C211yesmaximal, characteristic, complemented
19#21457292C211yesmaximal, characteristic, complemented
20#496×D61C211yesmaximal, characteristic, complemented
21#21455462C211yesmaximal, characteristic, complemented
22#21455456C211yesmaximal, characteristic, complemented
23#21455310C211yesmaximal, characteristic, complemented
24#21455294C211yesmaximal, characteristic, complemented
25#21455102C211yesmaximal, characteristic, complemented
26#21455093C211yesmaximal, characteristic, complemented
27#21455084C211yesmaximal, characteristic, complemented
28#21455082C211yesmaximal, characteristic, complemented
29#21454614C211yesmaximal, characteristic, complemented
30#21454533C211yesmaximal, characteristic, complemented
31C61×#3268C211yesmaximal, characteristic, complemented
32C2×#14519824C2211yescharacteristic, complemented
33C2×#14519823C2211yescharacteristic
34C2×#14519823C2211yescharacteristic, complemented
35C2×#14519822C2211yescharacteristic, complemented
36#16840569—28no—
37#16840566—28no—
38C2×#14519809C2211yescharacteristic, complemented
39C2×#14519809C2211yescharacteristic, complemented
40C2×#14519807C2211yescharacteristic, complemented
41C2×#14519805C2211yescharacteristic, complemented
42C2×#14519804C2211yescharacteristic
43C2×#14519804C2211yescharacteristic, complemented
44C2×#14519802C2211yescharacteristic, complemented
45C2×#14519801C2211yescharacteristic, complemented
46C2×#14519801C2211yescharacteristic, complemented
47C2×#14519801C2211yescharacteristic, complemented
48C2×#14519801C2211yescharacteristic, complemented
49C2×#14519798C2211yescharacteristic
50C2×#14519798C2211yescharacteristic, complemented
51C2×#14519798C2211yescharacteristic, complemented
52C2×#14519797C2211yescharacteristic, complemented
53C22×#11758190C2211yescharacteristic, complemented
54C2×SD16×D61C2211yescharacteristic, complemented
55C2×SD16×D61C2211yescharacteristic, complemented
56C2×SD16×D61C2211yescharacteristic, complemented
57C22×#11758199C2211yescharacteristic, complemented
58C2×D8×D61C2211yescharacteristic, complemented
59C2×D8×D61C2211yescharacteristic, complemented
60C2×D8×D61C2211yescharacteristic, complemented
61C2×#14519785C2211yescharacteristic, complemented
62C2×#14519783C2211yescharacteristic, complemented
63#16840434C2211yescharacteristic, complemented
64#16840431C2211yescharacteristic, complemented
65#16840431C2211yescharacteristic, complemented
66#16840422C2211yescharacteristic, complemented
67#16840421C2211yescharacteristic, complemented
68#16840420C2211yescharacteristic, complemented
69#16840418C2211yescharacteristic, complemented
70#16840407C2211yescharacteristic, complemented
71#16840406C2211yescharacteristic, complemented
72#16840404—21no—
73#16840402—21no—
74#16840401—21no—
75#16840400C2211yescharacteristic, complemented
76#16840399—21no—
77D4×D244—21no—
78D4×D244C2211yescharacteristic, complemented
79#16840397—21no—
80#16840397C2211yescharacteristic, complemented
81#16840396—21no—
82#16840396—21no—
83#16840396C2211yescharacteristic, complemented
84#16840396C2211yescharacteristic, complemented
85#16840335C2211yescharacteristic, complemented
86#16840334—21no—
87#16840328—21no—
88#16840328—21no—
89#16840328C2211yescharacteristic
90#16840328C2211yescharacteristic, complemented
91#16840328C2211yescharacteristic, complemented
92#16840327—21no—
93#16840309—21no—
94#16840309C2211yescharacteristic
95#16840307—21no—
96#127×D61—21no—
97#127×D61C2211yescharacteristic, complemented
98C2×#14519763—21no—
99#124×D61C2211yescharacteristic, complemented
100C4×#11758226C2211yescharacteristic, complemented
101C4×#11758224C2211yescharacteristic, complemented
102#16840152C2211yescharacteristic, complemented
103#16840151C2211yescharacteristic, complemented
104#16840150C2211yescharacteristic, complemented
105#16840150C2211yescharacteristic, complemented
106#16840149C2211yescharacteristic, complemented
107#16840148C2211yescharacteristic, complemented
108#16840148C2211yescharacteristic, complemented
109#16840014C2211yescharacteristic, complemented
110#16840014C2211yescharacteristic, complemented
111#16840013C2211yescharacteristic, complemented
112#16840013C2211yescharacteristic, complemented
113#16840009C2211yescharacteristic, complemented
114#16840008C2211yescharacteristic, complemented
115#16840005C2211yescharacteristic, complemented
116#16839999C2211yescharacteristic, complemented
117#16839998C2211yescharacteristic, complemented
118#16839995C2211yescharacteristic, complemented
119#16839994C2211yescharacteristic, complemented
120#16839993C2211yescharacteristic, complemented
121#16839990C2211yescharacteristic, complemented
122#16839989C2211yescharacteristic, complemented
123#16839986C2211yescharacteristic, complemented
124#16839984C2211yescharacteristic, complemented
125#16839982C2211yescharacteristic, complemented
126#16839980C2211yescharacteristic, complemented
127#16839978C2211yescharacteristic, complemented
128#16839976C2211yescharacteristic, complemented
129#16839974C2211yescharacteristic, complemented
130#16839963C2211yescharacteristic, complemented
131#16839961C2211yescharacteristic, complemented
132#16839961C2211yescharacteristic, complemented
133#16839959C2211yescharacteristic, complemented
134#16839957C2211yescharacteristic, complemented
135#16839955C2211yescharacteristic, complemented
136#16839955C2211yescharacteristic, complemented
137#16839927C2211yescharacteristic, complemented
138#16839924C2211yescharacteristic, complemented
139#16839923C2211yescharacteristic, complemented
140#16839915C2211yescharacteristic, complemented
141#16839914C2211yescharacteristic, complemented
142#16839912C2211yescharacteristic, complemented
143#16839911C2211yescharacteristic, complemented
144#16839910C2211yescharacteristic, complemented
145#16839909C2211yescharacteristic, complemented
146#16839908C2211yescharacteristic, complemented
147#16839908C2211yescharacteristic, complemented
148#16839907C2211yescharacteristic, complemented
149#16839907C2211yescharacteristic, complemented
150#16839906C2211yescharacteristic, complemented
151#16839905C2211yescharacteristic, complemented
152#16839904C2211yescharacteristic, complemented
153#16839904C2211yescharacteristic, complemented
154#16839903C2211yescharacteristic, complemented
155#16839902C2211yescharacteristic, complemented
156#16839900C2211yescharacteristic, complemented
157#16839899C2211yescharacteristic, complemented
158#16839898C2211yescharacteristic, complemented
159#16839897C2211yescharacteristic, complemented
160#16839897C2211yescharacteristic, complemented
161#16839896C2211yescharacteristic, complemented
162#16839895C2211yescharacteristic, complemented
163#16839894C2211yescharacteristic, complemented
164#16839894C2211yescharacteristic, complemented
165#16839872C2211yescharacteristic, complemented
166#16839871C2211yescharacteristic, complemented
167#16839867C2211yescharacteristic, complemented
168#16839866C2211yescharacteristic, complemented
169#16839864C2211yescharacteristic, complemented
170#16839863C2211yescharacteristic, complemented
171#16839861C2211yescharacteristic, complemented
172#16839836C2211yescharacteristic, complemented
173#16839835C2211yescharacteristic, complemented
174#16839834C2211yescharacteristic, complemented
175#16839833C2211yescharacteristic, complemented
176#16839832C2211yescharacteristic, complemented
177#16839831C2211yescharacteristic, complemented
178#16839830C2211yescharacteristic, complemented
179#16839799C2211yescharacteristic, complemented
180#16839784C2211yescharacteristic, complemented
181#16839769C2211yescharacteristic, complemented
182#16839765C2211yescharacteristic, complemented
183#16839765C2211yescharacteristic, complemented
184#16839765C2211yescharacteristic, complemented
185#16839757C2211yescharacteristic, complemented
186#16839755C2211yescharacteristic, complemented
187#16839727C2211yescharacteristic, complemented
188#16839727C2211yescharacteristic, complemented
189#97×D61C2211yescharacteristic, complemented
190C2×AGL(1,ℤ/8)×C61C2211yescharacteristic, complemented
191C2×#135×C61C2211yescharacteristic, complemented
192C61×#550C2211yescharacteristic, complemented
193C61×#546C2211yescharacteristic, complemented
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, complemented
203C61×#440C2211yescharacteristic, complemented
204C61×#435C2211yescharacteristic, complemented
205#14519824—24no—
206#14519824—42no—
207#14519823—24no—
208#14519823—24no—
209#14519823—42no—
210#14519823—42no—
211#14519822—24no—
212#14519822—42no—
213C2×#11758226C2311yescharacteristic
214C2×#11758226C2311yescharacteristic
215C2×#11758226C2311yescharacteristic
216C2×#11758222—21no—
217C2×#11758222—21no—
218C2×#11758222—21no—
219C2×#11758222C2311yescharacteristic
220C2×#11758222C2311yescharacteristic
221C2×#11758222C2311yescharacteristic
222C2×#11758224—21no—
223C2×#11758224—21no—
224C2×#11758224—21no—
225C2×#11758224C2311yescharacteristic
226C2×#11758224C2311yescharacteristic
227C2×#11758224C2311yescharacteristic
228C22×Dic122—21no—
229C22×Dic122C2311yescharacteristic
230C2×Q8×D61C2311yescharacteristic
231C2×Q8×D61C2311yescharacteristic
232C22×D244—21no—
233C22×D244—21no—
234C22×D244C2311yescharacteristic
235C22×D244C2311yescharacteristic
236C22×C22⋊D61—21no—
237C22×C22⋊D61—21no—
238C2×D4×D61—21no—
239C2×D4×D61—21no—
240C2×D4×D61—21no—
241C2×D4×D61—21no—
242C2×D4×D61—21no—
243C2×D4×D61—21no—
244C2×D4×D61—21no—
245C2×D4×D61—21no—
246C2×D4×D61—21no—
247C2×D4×D61—21no—
248C2×D4×D61—21no—
249C2×D4×D61C2311yescharacteristic
250C2×D4×D61C2311yescharacteristic
251C2×D4×D61C2311yescharacteristic
252C2×D4×D61C2311yescharacteristic
253C2×D4×D61C2311yescharacteristic
254C2×D4×D61C2311yescharacteristic
255#14519809—24no—
256#14519809—24no—
257#14519807—24no—
258#14519805—24no—
259#14519804—24no—
260#14519804—24no—
261#14519802—24no—
262#14519801—24no—
263#14519801—24no—
264#14519801—24no—
265#14519801—24no—
266#14519798—24no—
267#14519798—24no—
268#14519798D418yescomplemented
269#14519797—24no—
270C2×#11758202C2311yescharacteristic
271C2×#11758202C2311yescharacteristic
272C2×#11758190—24no—
273C2×#11758190C2311yescharacteristic
274C2×#11758190C2311yescharacteristic
275C2×#11758190C2311yescharacteristic
276C2×#11758190C2311yescharacteristic
277C2×#11758190C2311yescharacteristic
278C2×#11758190C2311yescharacteristic
279C2×#11758200C2311yescharacteristic
280C2×#11758200C2311yescharacteristic
281C2×#11758200C2311yescharacteristic
282C2×#11758200C2311yescharacteristic
283C2×#11758201C2311yescharacteristic
284C2×#11758201C2311yescharacteristic
285C2×#11758201C2311yescharacteristic
286C2×#11758201C2311yescharacteristic
287SD16×D61—24no—
288SD16×D61—24no—
289SD16×D61—42no—
290C2×D488C2311yescharacteristic
291C2×D488C2311yescharacteristic
292C2×D488C2311yescharacteristic
293C2×#11758199—24no—
294C2×#11758199C2311yescharacteristic
295C2×#11758199C2311yescharacteristic
296C2×#11758199C2311yescharacteristic
297C2×#11758199C2311yescharacteristic
298C2×#11758199C2311yescharacteristic
299C2×#11758199C2311yescharacteristic
300C2×#11758199C2311yescharacteristic
301C2×#11758199C2311yescharacteristic
302D8×D61—24no—
303D8×D61—24no—
304D8×D61—42no—
305#14519785—24no—
306#14519783—24no—
307C2×#11758194C2311yescharacteristic
308C2×#11758189C2311yescharacteristic
309C2×#11758189C2311yescharacteristic
310C2×#11758189C2311yescharacteristic
311C2×#11758189C2311yescharacteristic
312C22×#92418C2311yescharacteristic
313C2×C8×D61C2311yescharacteristic
314C2×C8×D61C2311yescharacteristic
315C2×C8×D61C2311yescharacteristic
316C2×C8×D61C2311yescharacteristic
317#14519776—21no—
318#14519776D411yescharacteristic
319#14519774—21no—
320#14519774C2311yescharacteristic
321#14519773—21no—
322#14519773—21no—
323#14519773—21no—
324#14519773—21no—
325#14519773—21no—
326#14519773—21no—
327#14519773—21no—
328#14519773D411yescharacteristic
329#14519773C2311yescharacteristic
330#14519773C2311yescharacteristic
331#14519766C2311yescharacteristic
332#14519765C2311yescharacteristic
333#14519764C2311yescharacteristic
334#14519763—21no—
335#14519763—21no—
336#14519763—21no—
337#14519763—21no—
338#14519763—21no—
339#14519763—21no—
340#14519763—21no—
341#14519763—21no—
342#14519763—21no—
343#14519763—21no—
344#14519763D411yescharacteristic
345#14519763D411yescharacteristic
346#14519762—21no—
347#14519761—21no—
348#14519760—21no—
349#14519759—21no—
350#14519758—21no—
351#14519757C2311yescharacteristic
352#14519756C2311yescharacteristic
353#14519755—21no—
354#14519755—21no—
355#14519754—21no—
356#14519754—21no—
357#14519753C2311yescharacteristic
358#14519752—21no—
359#14519752—21no—
360#14519752—21no—
361#14519752D411yescharacteristic
362#14519752C2311yescharacteristic
363#14519752C2311yescharacteristic
364#14519752C2311yescharacteristic
365#14519751—21no—
366#14519751—21no—
367#14519751—21no—
368#14519751C2311yescharacteristic
369#14519751C2311yescharacteristic
370#14519751C2311yescharacteristic
371#14519750—21no—
372#14519750—21no—
373#14519750—21no—
374#14519750—21no—
375#14519750D411yescharacteristic
376#14519750D411yescharacteristic
377#14519749—21no—
378#14519749—21no—
379#14519749—21no—
380#14519749—21no—
381#14519748—21no—
382#14519748—21no—
383#14519748—21no—
384#14519748D411yescharacteristic
385#14519748C2311yescharacteristic
386#14519748C2311yescharacteristic
387#14519748C2311yescharacteristic
388#14519747—21no—
389#14519747—21no—
390#14519747—21no—
391#14519747—21no—
392#14519747—21no—
393#14519747—21no—
394#14519747—21no—
395#14519747—21no—
396#14519746—21no—
397#14519745—21no—
398#14519745—21no—
399#14519745—21no—
400#14519745—21no—
401#14519745—21no—
402#14519745—21no—
403#14519745—21no—
404#14519745—21no—
405Q8×Dic61C2311yescharacteristic
406C4×Dic122C2311yescharacteristic
407#14519742C2311yescharacteristic
408C4×D244—21no—
409C4×D244—21no—
410C4×D244C2311yescharacteristic
411C4×D244C2311yescharacteristic
412D4×Dic61—21no—
413D4×Dic61C2311yescharacteristic
414#14519739—21no—
415#14519739—21no—
416#14519739C2311yescharacteristic
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#14519735—21no—
426#14519735C2311yescharacteristic
427#14519735C2311yescharacteristic
428#14519733—21no—
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#14519711C2311yescharacteristic
438#14519708C2311yescharacteristic
439#14519708C2311yescharacteristic
440C4⋊#92418C2311yescharacteristic
441#14519706C2311yescharacteristic
442#14519706C2311yescharacteristic
443#14519702C2311yescharacteristic
444#14519702C2311yescharacteristic
445#14519701C2311yescharacteristic
446#14519701C2311yescharacteristic
447#14519700C2311yescharacteristic
448#14519700C2311yescharacteristic
449#14519699C2311yescharacteristic
450#14519699C2311yescharacteristic
451#14519699C2311yescharacteristic
452#14519699C2311yescharacteristic
453#14519698C2311yescharacteristic
454#14519698C2311yescharacteristic
455#14519698C2311yescharacteristic
456#14519698C2311yescharacteristic
457#14519697C2311yescharacteristic
458#14519697C2311yescharacteristic
459#14519697C2311yescharacteristic
460#14519697C2311yescharacteristic
461C22⋊#92418C2311yescharacteristic
462C22⋊#92418C2311yescharacteristic
463#14519689C2311yescharacteristic
464#14519689C2311yescharacteristic
465#14519689C2311yescharacteristic
466#14519689C2311yescharacteristic
467#14519688C2311yescharacteristic
468#14519687C2311yescharacteristic
469#14519687C2311yescharacteristic
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—
518C23×D61—21no—
519C23×D61—21no—
520C23×D61—21no—
521C23×D61—21no—
522C23×D61—21no—
523C23×D61—21no—
524#41×C61—22no—
525#41×C61—22no—
526#41×C61—22no—
527#41×C61—41no—
528#41×C61—41no—
529#41×C61—41no—
530C2×Q8×C61C2411yescharacteristic
531C2×Q8×C61C2411yescharacteristic
532C2×D4×C61—22no—
533C2×D4×C61—21no—
534C2×D4×C61—21no—
535C2×D4×C61—21no—
536C2×D4×C61—21no—
537C2×D4×C61—21no—
538C2×D4×C61—21no—
539C2×D4×C61—21no—
540C2×D4×C61—21no—
541C2×D4×C61—21no—
542C2×D4×C61—41no—
543C2×D4×C61C2×D411yescharacteristic
544C2×D4×C61C2411yescharacteristic
545C2×D4×C61C2411yescharacteristic
546C2×D4×C61C2411yescharacteristic
547C2×D4×C61C2411yescharacteristic
548C22×C4×C61—21no—
549C22×C4×C61—21no—
550C22×C4×C61—21no—
551C22×C4×C61—21no—
552C22×C4×C61C2411yescharacteristic
553C22×C4×C61C2411yescharacteristic
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—21no—
563C2×C22⋊D61—21no—
564C2×C22⋊D61—21no—
565C2×C22⋊D61—21no—
566C2×C22⋊D61—21no—
567C2×C22⋊D61—21no—
568C2×C22⋊D61—21no—
569C2×C22⋊D61—21no—
570C2×C22⋊D61—21no—
571C2×C22⋊D61—21no—
572C2×C22⋊D61—21no—
573C2×C22⋊D61—21no—
574C2×C22⋊D61—44no—
575C2×C22⋊D61—44no—
576C2×C22⋊D61C2×D411yescharacteristic
577C2×C22⋊D61C2×D411yescharacteristic
578C2×C22⋊D61C2×D411yescharacteristic
579C2×C22⋊D61C2×D411yescharacteristic
580C2×C22⋊D61C2×D411yescharacteristic
581C2×C22⋊D61C2×D411yescharacteristic
582C22×Dic61—21no—
583C22×Dic61—21no—
584C22×Dic61—21no—
585C22×Dic61—21no—
586C22×Dic61—21no—
587#11758226—22no—
588#11758226—22no—
589#11758226—22no—
590#11758226—41no—
591#11758226—41no—
592#11758226C2×D414yes—
593Q8×D61—22no—
594Q8×D61—22no—
595Q8×D61—22no—
596Q8×D61—41no—
597#11758224—22no—
598#11758224—22no—
599#11758224—22no—
600#11758224—41no—
601#11758224—41no—
602#11758224—44no—
603#11758224—44no—
604#11758224—44no—
605#11758224C2×D414yescomplemented
606D4×D61—22no—
607D4×D61—22no—
608D4×D61—22no—
609D4×D61—22no—
610D4×D61—22no—
611D4×D61—22no—
612D4×D61—22no—
613D4×D61—22no—
614D4×D61—22no—
615D4×D61—41no—
616D4×D61—41no—
617D4×D61—41no—
618D4×D61—44no—
619D4×D61—44no—
620D4×D61—44no—
621D4×D61—44no—
622D4×D61—44no—
623D4×D61—82no—
624D4×D61—82no—
625D4×D61—82no—
626D4×D61—82no—
627D4×D61—82no—
628D4×D61—82no—
629#11758222—22no—
630#11758222—22no—
631#11758222—22no—
632#11758222—22no—
633#11758222—22no—
634#11758222—44no—
635#11758222—44no—
636#11758222—41no—
637#11758222—44no—
638C2×D244—21no—
639C2×D244—22no—
640C2×D244—22no—
641C2×D244—21no—
642C2×D244—21no—
643C2×D244—21no—
644C2×D244—21no—
645C2×D244—21no—
646C2×D244—21no—
647C2×D244—21no—
648C2×D244—21no—
649C2×D244—21no—
650C2×D244—41no—
651C2×D244—41no—
652C2×D244—44no—
653C2×D244—44no—
654C2×D244C2×D411yescharacteristic
655C2×D244C2×D411yescharacteristic
656C2×D244C2×D411yescharacteristic
657C2×D244C2411yescharacteristic
658C2×D244C2411yescharacteristic
659C2×D244C2411yescharacteristic
660C2×D244C2411yescharacteristic
661C2×C4×D61—21no—
662C2×C4×D61—21no—
663C2×C4×D61—21no—
664C2×C4×D61—21no—
665C2×C4×D61—21no—
666C2×C4×D61—21no—
667C2×C4×D61—21no—
668C2×C4×D61—21no—
669C2×C4×D61C2×D411yescharacteristic
670C2×C4×D61C2×D411yescharacteristic
671C2×C4×D61C2411yescharacteristic
672C2×C4×D61C2411yescharacteristic
673C2×C4×D61C2411yescharacteristic
674C2×Dic122—22no—
675C2×Dic122—21no—
676C2×Dic122—21no—
677C2×Dic122—21no—
678C2×Dic122—41no—
679C2×Dic122—44no—
680C2×Dic122C2×D411yescharacteristic
681C2×Dic122C2×D411yescharacteristic
682C2×Dic122C2411yescharacteristic
683C2×Dic122C2411yescharacteristic
684Q16×C61—22no—
685SD16×C61—22no—
686SD16×C61—22no—
687SD16×C61—41no—
688SD16×C61C2×D414yescomplemented
689D8×C61—22no—
690D8×C61—22no—
691D8×C61—22no—
692D8×C61—41no—
693M16×C61—22no—
694C2×C8×C61—22no—
695C2×C8×C61C2411yescharacteristic
696C2×C8×C61C2411yescharacteristic
697C2×C8×C61C2411yescharacteristic
698C2×C8×C61C2411yescharacteristic
699C4⋊C4×C61—21no—
700C4⋊C4×C61—21no—
701C4⋊C4×C61C2×D411yescharacteristic
702C4⋊C4×C61C2411yescharacteristic
703C4⋊C4×C61C2411yescharacteristic
704C22⋊C4×C61—21no—
705C22⋊C4×C61—21no—
706C22⋊C4×C61—21no—
707C22⋊C4×C61—21no—
708C22⋊C4×C61—21no—
709C22⋊C4×C61—21no—
710C22⋊C4×C61—21no—
711C22⋊C4×C61C2×D411yescharacteristic
712C22⋊C4×C61C2×D411yescharacteristic
713C42×C61—21no—
714C42×C61C2411yescharacteristic
715C22⋊Dic61—21no—
716C22⋊Dic61—21no—
717C22⋊Dic61—21no—
718C22⋊Dic61—21no—
719C22⋊Dic61—21no—
720C22⋊Dic61—21no—
721C22⋊Dic61—21no—
722C22⋊Dic61C2×D411yescharacteristic
723C22⋊Dic61C2×D411yescharacteristic
724#11758202—22no—
725#11758202C2×D414yescomplemented
726#11758201—22no—
727#11758201—22no—
728#11758201—22no—
729#11758201—41no—
730#11758200—22no—
731#11758200—22no—
732#11758200—22no—
733#11758200—41no—
734#11758199—22no—
735#11758199—22no—
736#11758199—22no—
737#11758199—22no—
738#11758199—22no—
739#11758199—41no—
740#11758199—41no—
741#11758199C2×D414yescomplemented
742#11758198—21no—
743#11758198—21no—
744#11758198—21no—
745#11758198—21no—
746#11758198—21no—
747#11758198—21no—
748#11758198—21no—
749#11758198—21no—
750#11758198—21no—
751#11758198—21no—
752#11758198—21no—
753#11758198—21no—
754#11758198—21no—
755#11758198—21no—
756#11758198—21no—
757#11758198—21no—
758#11758198C2×D411yescharacteristic
759#11758198C2×D411yescharacteristic
760#11758198C2×D411yescharacteristic
761#11758198C2×D411yescharacteristic
762C4⋊Dic61—21no—
763C4⋊Dic61—21no—
764C4⋊Dic61C2×D411yescharacteristic
765C4⋊Dic61C2411yescharacteristic
766C4⋊Dic61C2411yescharacteristic
767#11758196—21no—
768#11758196—21no—
769#11758196—21no—
770#11758196—21no—
771#11758196C2×D411yescharacteristic
772#11758196C2×D411yescharacteristic
773C4×Dic61—21no—
774C4×Dic61—21no—
775C4×Dic61—21no—
776C4×Dic61—21no—
777C4×Dic61—21no—
778C4×Dic61C2×D411yescharacteristic
779C4×Dic61C2×D411yescharacteristic
780C4×Dic61C2411yescharacteristic
781#11758194—22no—
782C2×#92418—22no—
783C2×#92418C2411yescharacteristic
784C2×#92418C2411yescharacteristic
785C2×#92418C2411yescharacteristic
786C2×#92418C2411yescharacteristic
787D488—22no—
788D488—22no—
789D488—41no—
790#11758190—22no—
791#11758190—22no—
792#11758190—22no—
793#11758190—22no—
794#11758190—41no—
795#11758190C2×D414yescomplemented
796#11758189—22no—
797#11758189—22no—
798#11758189—22no—
799#11758189—22no—
800C8×D61—22no—
801C8×D61—22no—
802C8×D61—22no—
803C8×D61C2×D414yescomplemented
804C23×C61—21no—
805C23×C61—21no—
806C23×C61—21no—
807C23×C61—21no—
808C23×C61—42no—
809C23×C61—81no—
810C23×C61—81no—
811C23×C61C22×D411yescharacteristic
812C23×C61C22×D411yescharacteristic
813C22×D61—21no—
814C22×D61—21no—
815C22×D61—21no—
816C22×D61—21no—
817C22×D61—42no—
818C22×D61—42no—
819C22×D61—42no—
820C22×D61—42no—
821C22×D61—42no—
822C22×D61—42no—
823C22×D61—42no—
824C22×D61—42no—
825C22×D61—81no—
826C22×D61—81no—
827C22×D61—81no—
828C22×D61—81no—
829C22×D61—81no—
830C22×D61—81no—
831C22×D61—81no—
832C22×D61—81no—
833C22×D61—81no—
834C22×D61—81no—
835C22×D61—81no—
836C22×D61—81no—
837C22×D61—81no—
838C22×D61—81no—
839C22×D61—81no—
840C22×D61—81no—
841C22×D61C22×D411yescharacteristic
842C22×D61C22×D411yescharacteristic
843C22×D61C22×D411yescharacteristic
844Q8×C61—21no—
845Q8×C61—21no—
846Q8×C61—21no—
847Q8×C61C22×D412yes—
848D4×C61—21no—
849D4×C61—21no—
850D4×C61—21no—
851D4×C61—21no—
852D4×C61—21no—
853D4×C61—21no—
854D4×C61—21no—
855D4×C61—41no—
856D4×C61—42no—
857D4×C61—42no—
858D4×C61—42no—
859D4×C61—42no—
860D4×C61—42no—
861D4×C61—81no—
862D4×C61—81no—
863D4×C61—81no—
864D4×C61—81no—
865D4×C61C22×D412yes—
866C2×C4×C61—21no—
867C2×C4×C61—21no—
868C2×C4×C61—21no—
869C2×C4×C61—21no—
870C2×C4×C61—21no—
871C2×C4×C61—21no—
872C2×C4×C61—21no—
873C2×C4×C61—21no—
874C2×C4×C61—42no—
875C2×C4×C61—42no—
876C2×C4×C61—42no—
877C2×C4×C61—81no—
878C2×C4×C61C22×D411yescharacteristic
879C2×C4×C61C22×D411yescharacteristic
880C2×C4×C61C22×D411yescharacteristic
881C2×C4×C61C22×D411yescharacteristic
882C2×C4×C61C2511yescharacteristic
883C22⋊D61—22no—
884C22⋊D61—22no—
885C22⋊D61—24no—
886C22⋊D61—22no—
887C22⋊D61—22no—
888C22⋊D61—41no—
889C22⋊D61—41no—
890C22⋊D61—42no—
891C22⋊D61—42no—
892C22⋊D61—42no—
893C22⋊D61—42no—
894C22⋊D61—42no—
895C22⋊D61—42no—
896C22⋊D61—42no—
897C22⋊D61—42no—
898C22⋊D61—42no—
899C22⋊D61—42no—
900C22⋊D61—42no—
901C22⋊D61—81no—
902C22⋊D61—81no—
903C22⋊D61—81no—
904C22⋊D61—81no—
905C22⋊D61—81no—
906C22⋊D61—81no—
907C22⋊D61—81no—
908C22⋊D61—81no—
909C2×Dic61—21no—
910C2×Dic61—24no—
911C2×Dic61—21no—
912C2×Dic61—21no—
913C2×Dic61—21no—
914C2×Dic61—42no—
915C2×Dic61—42no—
916C2×Dic61—42no—
917C2×Dic61—81no—
918C2×Dic61C22×D411yescharacteristic
919C2×Dic61C22×D411yescharacteristic
920C2×Dic61C22×D411yescharacteristic
921C2×Dic61C22×D411yescharacteristic
922C2×Dic61C22×D411yescharacteristic
923D244—24no—
924D244—22no—
925D244—22no—
926D244—21no—
927D244—21no—
928D244—21no—
929D244—21no—
930D244—21no—
931D244—21no—
932D244—21no—
933D244—41no—
934D244—42no—
935D244—42no—
936D244—42no—
937D244—42no—
938D244—42no—
939D244—81no—
940D244—81no—
941D244—81no—
942D244—81no—
943D244C22×D412yes—
944C4×D61—21no—
945C4×D61—21no—
946C4×D61—21no—
947C4×D61—21no—
948C4×D61—24no—
949C4×D61—41no—
950C4×D61—41no—
951C4×D61—42no—
952C4×D61—42no—
953C4×D61—42no—
954C4×D61—42no—
955C4×D61—42no—
956C4×D61—42no—
957C4×D61—42no—
958C4×D61C22×D412yes—
959C4×D61H(5,𝔽2)12yes—
960Dic122—21no—
961Dic122—22no—
962Dic122—22no—
963Dic122—21no—
964Dic122—21no—
965Dic122—42no—
966Dic122—42no—
967Dic122—42no—
968Dic122C22×D412yes—
969C8×C61—21no—
970C8×C61—21no—
971C8×C61—21no—
972C8×C61C22×D412yes—
973#92418—21no—
974#92418—21no—
975#92418—21no—
976#92418C22×D412yes—
977#61082—611nomaximal, Sylow
978C22×C61—21no—
979C22×C61—21no—
980C22×C61—21no—
981C22×C61—21no—
982C22×C61—22no—
983C22×C61—21no—
984C22×C61—21no—
985C22×C61—41no—
986C22×C61—41no—
987C22×C61—41no—
988C22×C61—41no—
989C22×C61—41no—
990C22×C61—41no—
991C22×C61—41no—
992C22×C61—41no—
993C22×C61—41no—
994C22×C61—41no—
995C22×C61—41no—
996C22×C61—162no—
997C22×C61C23×D411yescharacteristic
998C2×D61—21no—
999C2×D61—21no—
1000C2×D61—21no—
1001C2×D61—21no—
1002C2×D61—21no—
1003C2×D61—21no—
1004C2×D61—21no—
1005C2×D61—22no—
1006C2×D61—21no—
1007C2×D61—41no—
1008C2×D61—41no—
1009C2×D61—41no—
1010C2×D61—41no—
1011C2×D61—41no—
1012C2×D61—41no—
1013C2×D61—41no—
1014C2×D61—41no—
1015C2×D61—41no—
1016C2×D61—41no—
1017C2×D61—41no—
1018C2×D61—162no—
1019C2×D61—162no—
1020C2×D61—162no—
1021C2×D61—162no—
1022C2×D61—162no—
1023C2×D61—162no—
1024C2×D61—162no—
1025C2×D61—162no—
1026C2×D61D4212yes—
1027C4×C61—21no—
1028C4×C61—21no—
1029C4×C61—21no—
1030C4×C61—21no—
1031C4×C61—22no—
1032C4×C61—41no—
1033C4×C61—41no—
1034C4×C61—41no—
1035C4×C61C23×D411yescharacteristic
1036C4×C61C2×H(5,𝔽2)11yescharacteristic
1037Dic61—21no—
1038Dic61—21no—
1039Dic61—21no—
1040Dic61—21no—
1041Dic61—22no—
1042Dic61—41no—
1043Dic61—41no—
1044Dic61—41no—
1045Dic61D4212yes—
1046C2×#577—611no—
1047C2×#576—611no—
1048#3500—611no—
1049#3498—611no—
1050#3271—611no—
1051#3271—611no—
1052#3271—611no—
1053#3271—611no—
1054#3268—611no—
1055#3268—611no—
1056#3268—611no—
1057#3268D6111yescharacteristic, complemented
1058#3265—611no—
1059#3265—611no—
1060#3265—611no—
1061#3265—611no—
1062#3264—611no—
1063#3264—611no—
1064#3264—611no—
1065#3264—611no—
1066C2×#496—611no—
1067#3058—611no—
1068#3057—611no—
1069#3040—611no—
1070#3038—611no—
1071#3010—611no—
1072#3009—611no—
1073#3008—611no—
1074#3008—611no—
1075#2943—611no—
1076#2932—611no—
1077C2×C61—41no—
1078C2×C61—41no—
1079C2×C61—42no—
1080C2×C61—81no—
1081C2×C61—81no—
1082C2×C61—81no—
1083C2×C61C2×D4211yescharacteristic
1084C2×C61#358511yescharacteristic
1085C2×C61#358511yescharacteristic
1086D61—22no—
1087D61—41no—
1088D61—41no—
1089D61—42no—
1090D61—81no—
1091D61—81no—
1092D61—81no—
1093C2×2−1+4—611no—
1094C2×H(5,𝔽2)—611no—
1095C2×H(5,𝔽2)—611no—
1096C2×H(5,𝔽2)—611no—
1097#577—1228no—
1098#576—1228no—
1099C2×#137—611no—
1100C2×#137—611no—
1101C2×#137—611no—
1102C2×AGL(1,ℤ/8)—611no—
1103C2×AGL(1,ℤ/8)—611no—
1104C2×AGL(1,ℤ/8)—611no—
1105C2×AGL(1,ℤ/8)—611no—
1106C2×AGL(1,ℤ/8)—611no—
1107C2×AGL(1,ℤ/8)—611no—
1108C2×AGL(1,ℤ/8)—611no—
1109C2×AGL(1,ℤ/8)—611no—
1110C2×AGL(1,ℤ/8)C2×D6111yescharacteristic, complemented
1111C2×#135—611no—
1112C2×#135—611no—
1113C2×#135—611no—
1114C2×#135—611no—
1115C2×#135C2×D6111yescharacteristic, complemented
1116C22×SD16—611no—
1117C22×SD16—611no—
1118C22×SD16—611no—
1119C22×SD16—611no—
1120C22×D8—611no—
1121C22×D8—611no—
1122C22×D8—611no—
1123C22×D8—611no—
1124C2×#131—611no—
1125C2×#131—611no—
1126#550—611no—
1127#550—611no—
1128#550—611no—
1129#550C2×D6111yescharacteristic, complemented
1130#548—611no—
1131#548—611no—
1132#548—611no—
1133#548—611no—
1134#546—611no—
1135#546—611no—
1136#546—611no—
1137#546—1221no—
1138#546—1221no—
1139#546—1221no—
1140#546—1221no—
1141#546C2×D6111yescharacteristic, complemented
1142D42—611no—
1143D42—611no—
1144D42—611no—
1145D42—611no—
1146D42—1221no—
1147D42—1221no—
1148D42—1221no—
1149D42—1221no—
1150#536—611no—
1151#536—1221no—
1152#535—611no—
1153#535—611no—
1154#535—611no—
1155#535—1221no—
1156#535—1221no—
1157#535—1221no—
1158#532—611no—
1159#532—1221no—
1160#532—1221no—
1161C2×#127—611no—
1162C2×#127—1221no—
1163C2×#124—611no—
1164C2×#124—1221no—
1165C4×#41—611no—
1166C4×#41—611no—
1167#496—611no—
1168#496—611no—
1169#496—611no—
1170#496—611no—
1171#496—611no—
1172#496—611no—
1173#496—611no—
1174#496C2×D6111yescharacteristic, complemented
1175#469—611no—
1176#469—611no—
1177#469—611no—
1178#469—611no—
1179#468—611no—
1180#468—611no—
1181#468—611no—
1182#468C2×D6111yescharacteristic, complemented
1183#466—611no—
1184#466—611no—
1185#466—611no—
1186#466C2×D6111yescharacteristic, complemented
1187#465—611no—
1188#465—611no—
1189#465—611no—
1190#465—611no—
1191#464—611no—
1192#464—611no—
1193#464—611no—
1194#464C2×D6111yescharacteristic, complemented
1195#463—611no—
1196#463—611no—
1197#463—611no—
1198#463—611no—
1199#460—611no—
1200#460—611no—
1201#460—611no—
1202#460—611no—
1203#459—611no—
1204#459—611no—
1205#459—611no—
1206#459C2×D6111yescharacteristic, complemented
1207#452—611no—
1208#452—611no—
1209#452—611no—
1210#452C2×D6111yescharacteristic, complemented
1211#450—611no—
1212#450—611no—
1213#450—611no—
1214#450—611no—
1215#449—611no—
1216#449—611no—
1217#449—611no—
1218#449—611no—
1219#449—611no—
1220#449—611no—
1221#449—611no—
1222#449—611no—
1223#449—611no—
1224#449—611no—
1225#449C2×D6111yescharacteristic, complemented
1226#449C2×D6111yescharacteristic, complemented
1227#448—611no—
1228#448—611no—
1229#448—611no—
1230#448—611no—
1231#447—611no—
1232#447—611no—
1233#447—611no—
1234#447—611no—
1235#447—611no—
1236#447—611no—
1237#447—611no—
1238#447C2×D6111yescharacteristic, complemented
1239#442—611no—
1240#442—611no—
1241#441—611no—
1242#441—611no—
1243#440—611no—
1244#440—611no—
1245#440—611no—
1246#440C2×D6111yescharacteristic, complemented
1247#435—611no—
1248#435—611no—
1249#435—611no—
1250#435—611no—
1251#435—611no—
1252#435—611no—
1253#435—611no—
1254#435C2×D6111yescharacteristic, complemented
1255#427—611no—
1256#423—611no—
1257#419—611no—
1258#418—611no—
1259#418—611no—
1260#418—611no—
1261#416—611no—
1262#416—611no—
1263#408—611no—
1264#408—611no—
1265C2×#97—611no—
1266C61#6108211yescharacteristic, complemented, Sylow
12672−1+4—1224no—
12682−1+4—2442no—
1269H(5,𝔽2)—1224no—
1270H(5,𝔽2)—1224no—
1271H(5,𝔽2)—1224no—
1272H(5,𝔽2)—2442no—
1273H(5,𝔽2)—2442no—
1274H(5,𝔽2)—2442no—
1275C2×#41—611no—
1276C2×#41—611no—
1277C2×#41—611no—
1278C2×#41—611no—
1279C2×#41—611no—
1280C2×#41—611no—
1281C2×#41—611no—
1282C2×#41—611no—
1283C2×#41—611no—
1284C2×#41—1221no—
1285C2×#41—1221no—
1286C2×#41—1221no—
1287C2×#41—1221no—
1288C2×#41—1221no—
1289C2×#41—1221no—
1290C2×#41C22×D6111yescharacteristic
1291C2×#41C22×D6111yescharacteristic
1292C2×#41C22×D6111yescharacteristic
1293C22×Q8—611no—
1294C22×Q8—611no—
1295C22×Q8—611no—
1296C22×Q8—1221no—
1297C22×D4—611no—
1298C22×D4—611no—
1299C22×D4—611no—
1300C22×D4—611no—
1301C22×D4—611no—
1302C22×D4—611no—
1303C22×D4—611no—
1304C22×D4—611no—
1305C22×D4—1221no—
1306C22×D4—1221no—
1307C22×D4—1221no—
1308C22×D4—1221no—
1309C22×D4—1221no—
1310C22×D4—1221no—
1311C22×D4—1221no—
1312C22×D4—1221no—
1313C22×D4—1221no—
1314C22×D4—1221no—
1315C22×D4—1221no—
1316C22×D4—1221no—
1317C22×D4—1221no—
1318C22×D4—1221no—
1319C22×D4—1221no—
1320C22×D4C22×D6111yescharacteristic
1321#137—1224no—
1322#137—1224no—
1323#137—1224no—
1324AGL(1,ℤ/8)—24no—
1325AGL(1,ℤ/8)—1224no—
1326AGL(1,ℤ/8)—1224no—
1327AGL(1,ℤ/8)—1224no—
1328AGL(1,ℤ/8)—1224no—
1329AGL(1,ℤ/8)—1224no—
1330AGL(1,ℤ/8)—1224no—
1331AGL(1,ℤ/8)—1224no—
1332AGL(1,ℤ/8)—1224no—
1333#135—24no—
1334#135—618no—
1335#135—1224no—
1336#135—1224no—
1337#135—1224no—
1338C2×Q16—611no—
1339C2×Q16—611no—
1340C2×Q16C22×D6111yescharacteristic
1341C2×SD16—611no—
1342C2×SD16—611no—
1343C2×SD16—611no—
1344C2×SD16—611no—
1345C2×SD16—611no—
1346C2×SD16—611no—
1347C2×SD16—611no—
1348C2×SD16—611no—
1349C2×SD16—611no—
1350C2×SD16—611no—
1351C2×SD16—611no—
1352C2×SD16—611no—
1353C2×SD16—611no—
1354C2×SD16—611no—
1355C2×SD16—1224no—
1356C2×SD16—1224no—
1357C2×SD16—1224no—
1358C2×SD16—2442no—
1359C2×SD16C22×D6111yescharacteristic
1360C2×SD16C22×D6111yescharacteristic
1361C2×SD16C22×D6111yescharacteristic
1362C2×SD16C22×D6111yescharacteristic
1363C2×D8—611no—
1364C2×D8—611no—
1365C2×D8—611no—
1366C2×D8—611no—
1367C2×D8—611no—
1368C2×D8—611no—
1369C2×D8—611no—
1370C2×D8—611no—
1371C2×D8—611no—
1372C2×D8—611no—
1373C2×D8—611no—
1374C2×D8—1224no—
1375C2×D8—1224no—
1376C2×D8—1224no—
1377C2×D8—2442no—
1378C2×D8C22×D6111yescharacteristic
1379C2×D8C22×D6111yescharacteristic
1380C2×D8C22×D6111yescharacteristic
1381C2×D8C22×D6111yescharacteristic
1382#131—1224no—
1383#131—1224no—
1384C2×M16—611no—
1385C2×M16—611no—
1386C2×M16—611no—
1387C2×M16—611no—
1388C2×M16—611no—
1389C2×M16C22×D6111yescharacteristic
1390C22×C8—611no—
1391C22×C8—611no—
1392C22×C8—611no—
1393C22×C8—611no—
1394C22×C8—611no—
1395C22×C8C22×D6111yescharacteristic
1396C4⋊Q8—611no—
1397C4⋊Q8—1221no—
1398#127—21no—
1399#127—611no—
1400#127—611no—
1401#127—611no—
1402#127—611no—
1403#127—1221no—
1404#127—1221no—
1405#127—1221no—
1406#127—1221no—
1407#127—1221no—
1408#127—1221no—
1409#127—1221no—
1410#127—1221no—
1411#127C22×D6111yescharacteristic
1412#124—611no—
1413#124—611no—
1414#124—611no—
1415#124—611no—
1416#124—611no—
1417#124—1221no—
1418#124—1221no—
1419#124—1221no—
1420#124—1221no—
1421#124—1221no—
1422#124—1221no—
1423#124—1221no—
1424#124—1221no—
1425#124—1221no—
1426#124—1221no—
1427#124C22×D6111yescharacteristic
1428#123—21no—
1429#123—1221no—
1430#123—1221no—
1431#123—1221no—
1432#123—1221no—
1433#123—1221no—
1434C22⋊Q8—611no—
1435C22⋊Q8—611no—
1436C22⋊Q8—611no—
1437C22⋊Q8—1221no—
1438C22⋊Q8—1221no—
1439C22⋊Q8—1221no—
1440C22⋊Q8—1221no—
1441C22⋊Q8C22×D6111yescharacteristic
1442#121—21no—
1443#121—21no—
1444#121—21no—
1445#121—611no—
1446#121—611no—
1447#121—611no—
1448#121—611no—
1449#121—611no—
1450#121—611no—
1451#121—611no—
1452#121—611no—
1453#121—611no—
1454#121—611no—
1455#121—611no—
1456#121—611no—
1457#121—611no—
1458#121—1221no—
1459#121—1221no—
1460#121—1221no—
1461#121—1221no—
1462#121—1221no—
1463#121—1221no—
1464#121—1221no—
1465#121—1221no—
1466#121—1221no—
1467#121—1221no—
1468#121—1221no—
1469#121—1221no—
1470#121—1221no—
1471#121—1221no—
1472#121—1221no—
1473#121—1221no—
1474#121—1221no—
1475#121C22×D6111yescharacteristic
1476#121C22×D6111yescharacteristic
1477#121C22×D6111yescharacteristic
1478#120—21no—
1479#120—1221no—
1480#120—1221no—
1481#120—1221no—
1482#120—1221no—
1483#120—1221no—
1484#120—1221no—
1485#120—1221no—
1486#120—1221no—
1487#120—1221no—
1488#120—1221no—
1489#120—1221no—
1490#120—1221no—
1491#120—1221no—
1492#120—1221no—
1493#120—1221no—
1494#120—1221no—
1495#120—1221no—
1496C4×Q8—611no—
1497C4×Q8—611no—
1498C4×Q8—611no—
1499C4×Q8C22×D6111yescharacteristic
1500C4×D4—21no—
1501C4×D4—611no—
1502C4×D4—611no—
1503C4×D4—611no—
1504C4×D4—611no—
1505C4×D4—611no—
1506C4×D4—611no—
1507C4×D4—1221no—
1508C4×D4—1221no—
1509C4×D4—1221no—
1510C4×D4—1221no—
1511C4×D4—1221no—
1512C4×D4—1221no—
1513C4×D4—1221no—
1514C4×D4—1221no—
1515C4×D4—1221no—
1516C4×D4—1221no—
1517C4×D4—1221no—
1518C4×D4C22×D6111yescharacteristic
1519C4×D4C22×D6111yescharacteristic
1520#117—611no—
1521#117—611no—
1522#117—1221no—
1523#117—1221no—
1524C2×C22⋊C4—21no—
1525C2×C22⋊C4—1221no—
1526C2×C22⋊C4—1221no—
1527C2×C22⋊C4—1221no—
1528C2×C22⋊C4—1221no—
1529C2×C22⋊C4—1221no—
1530C2×C42—611no—
1531C2×C42—1221no—
1532C2×C42—1221no—
1533#107—611no—
1534#107C22×D6111yescharacteristic
1535#106—611no—
1536#106—611no—
1537C4⋊C8—611no—
1538C4⋊C8—611no—
1539C4⋊C8—611no—
1540C4⋊C8C22×D6111yescharacteristic
1541#103—611no—
1542#103—611no—
1543#103—611no—
1544#103—611no—
1545#103—611no—
1546#103—611no—
1547#103C22×D6111yescharacteristic
1548#103C22×D6111yescharacteristic
1549#102—611no—
1550#102—611no—
1551#102—611no—
1552#102—611no—
1553#102—611no—
1554#102—611no—
1555#102—611no—
1556#102—611no—
1557#102—611no—
1558#102—611no—
1559#102—611no—
1560#102—611no—
1561#102C22×D6111yescharacteristic
1562#102C22×D6111yescharacteristic
1563#102C22×D6111yescharacteristic
1564#102C22×D6111yescharacteristic
1565C22⋊C8—611no—
1566C22⋊C8—611no—
1567C22⋊C8—611no—
1568C22⋊C8—611no—
1569C22⋊C8—611no—
1570C22⋊C8—611no—
1571C22⋊C8C22×D6111yescharacteristic
1572C22⋊C8C22×D6111yescharacteristic
1573#97—611no—
1574#97—611no—
1575#97—611no—
1576#97C22×D6111yescharacteristic
1577C24—21no—
1578C24—1221no—
1579C24—1221no—
1580C24—1221no—
1581C24—1221no—
1582C24—1221no—
1583C24—1221no—
1584C24—1221no—
1585C24—1221no—
1586#41—22no—
1587#41—22no—
1588#41—22no—
1589#41—41no—
1590#41—41no—
1591#41—41no—
1592#41—614no—
1593#41—614no—
1594#41—1222no—
1595#41—1222no—
1596#41—1222no—
1597#41—1222no—
1598#41—1222no—
1599#41—1222no—
1600#41—1222no—
1601#41—1222no—
1602#41—1222no—
1603#41—1222no—
1604#41—1222no—
1605#41—2441no—
1606#41—2444no—
1607#41—2444no—
1608#41—2444no—
1609#41—2441no—
1610#41—2441no—
1611#41—2444no—
1612#41—2444no—
1613#41—2441no—
1614#41—2441no—
1615#41—2444no—
1616C2×Q8—611no—
1617C2×Q8—611no—
1618C2×Q8—611no—
1619C2×Q8—611no—
1620C2×Q8—1221no—
1621C2×Q8—1221no—
1622C2×Q8—1222no—
1623C2×Q8—1222no—
1624C2×Q8—1222no—
1625C2×Q8—1221no—
1626C2×Q8—1222no—
1627C2×Q8—2441no—
1628C2×Q8—2444no—
1629C2×Q8—2441no—
1630C2×Q8C23×D6111yescharacteristic
1631C2×Q8C23×D6111yescharacteristic
1632C2×D4—22no—
1633C2×D4—21no—
1634C2×D4—21no—
1635C2×D4—21no—
1636C2×D4—21no—
1637C2×D4—21no—
1638C2×D4—21no—
1639C2×D4—21no—
1640C2×D4—21no—
1641C2×D4—21no—
1642C2×D4—41no—
1643C2×D4—611no—
1644C2×D4—611no—
1645C2×D4—611no—
1646C2×D4—611no—
1647C2×D4—611no—
1648C2×D4—611no—
1649C2×D4—611no—
1650C2×D4—611no—
1651C2×D4—611no—
1652C2×D4—611no—
1653C2×D4—611no—
1654C2×D4—611no—
1655C2×D4—611no—
1656C2×D4—1222no—
1657C2×D4—1222no—
1658C2×D4—1221no—
1659C2×D4—1221no—
1660C2×D4—1221no—
1661C2×D4—1221no—
1662C2×D4—1221no—
1663C2×D4—1221no—
1664C2×D4—1222no—
1665C2×D4—1222no—
1666C2×D4—1222no—
1667C2×D4—1222no—
1668C2×D4—1222no—
1669C2×D4—1222no—
1670C2×D4—1221no—
1671C2×D4—1221no—
1672C2×D4—1221no—
1673C2×D4—1221no—
1674C2×D4—1221no—
1675C2×D4—1221no—
1676C2×D4—1221no—
1677C2×D4—1221no—
1678C2×D4—1221no—
1679C2×D4—1221no—
1680C2×D4—1222no—
1681C2×D4—1222no—
1682C2×D4—1221no—
1683C2×D4—1222no—
1684C2×D4—1221no—
1685C2×D4—1221no—
1686C2×D4—1221no—
1687C2×D4—1221no—
1688C2×D4—1221no—
1689C2×D4—1221no—
1690C2×D4—1221no—
1691C2×D4—1221no—
1692C2×D4—1221no—
1693C2×D4—1221no—
1694C2×D4—1221no—
1695C2×D4—1221no—
1696C2×D4—1221no—
1697C2×D4—4882no—
1698C2×D4—4882no—
1699C2×D4—4882no—
1700C2×D4—4882no—
1701C2×D4—4882no—
1702C2×D4—4882no—
1703C2×D4—2441no—
1704C2×D4—2441no—
1705C2×D4—2444no—
1706C2×D4—2444no—
1707C2×D4—2441no—
1708C2×D4—2441no—
1709C2×D4—2441no—
1710C2×D4—2444no—
1711C2×D4—2444no—
1712C2×D4—2444no—
1713C2×D4—2444no—
1714C2×D4—2444no—
1715C2×D4—2444no—
1716C2×D4—2444no—
1717C2×D4D4×D6111yescharacteristic
1718C2×D4C23×D6111yescharacteristic
1719C2×D4C23×D6111yescharacteristic
1720C2×D4C23×D6111yescharacteristic
1721C2×D4C23×D6111yescharacteristic
1722C22×C4—21no—
1723C22×C4—21no—
1724C22×C4—21no—
1725C22×C4—21no—
1726C22×C4—611no—
1727C22×C4—611no—
1728C22×C4—611no—
1729C22×C4—611no—
1730C22×C4—611no—
1731C22×C4—1221no—
1732C22×C4—1221no—
1733C22×C4—1221no—
1734C22×C4—1221no—
1735C22×C4—1221no—
1736C22×C4—1221no—
1737C22×C4—1221no—
1738C22×C4—1221no—
1739C22×C4—1221no—
1740C22×C4—1221no—
1741C22×C4—1221no—
1742C22×C4—1221no—
1743C22×C4—1221no—
1744C22×C4C23×D6111yescharacteristic
1745C22×C4C23×D6111yescharacteristic
1746Q16—22no—
1747Q16—614no—
1748Q16—1222no—
1749SD16—22no—
1750SD16—22no—
1751SD16—41no—
1752SD16—614no—
1753SD16—1222no—
1754SD16—1222no—
1755SD16—1222no—
1756SD16—1222no—
1757SD16—1222no—
1758SD16—1222no—
1759SD16—1222no—
1760SD16—1222no—
1761SD16—1222no—
1762SD16—1222no—
1763SD16—2441no—
1764SD16—2441no—
1765SD16—2441no—
1766SD16D4×D6114yescomplemented
1767D8—22no—
1768D8—22no—
1769D8—22no—
1770D8—41no—
1771D8—614no—
1772D8—1222no—
1773D8—1222no—
1774D8—1222no—
1775D8—1222no—
1776D8—1222no—
1777D8—1222no—
1778D8—1222no—
1779D8—2441no—
1780D8—2441no—
1781D8—2441no—
1782M16—22no—
1783M16—1222no—
1784M16—1222no—
1785M16—1222no—
1786M16—1222no—
1787M16—1222no—
1788C2×C8—22no—
1789C2×C8—611no—
1790C2×C8—614no—
1791C2×C8—611no—
1792C2×C8—611no—
1793C2×C8—611no—
1794C2×C8—1222no—
1795C2×C8—1222no—
1796C2×C8—1222no—
1797C2×C8—1222no—
1798C2×C8C23×D6111yescharacteristic
1799C2×C8C23×D6111yescharacteristic
1800C2×C8C23×D6111yescharacteristic
1801C2×C8C23×D6111yescharacteristic
1802C4⋊C4—21no—
1803C4⋊C4—21no—
1804C4⋊C4—611no—
1805C4⋊C4—611no—
1806C4⋊C4—611no—
1807C4⋊C4—611no—
1808C4⋊C4—611no—
1809C4⋊C4—1221no—
1810C4⋊C4—1221no—
1811C4⋊C4—1221no—
1812C4⋊C4—1221no—
1813C4⋊C4—1221no—
1814C4⋊C4—1221no—
1815C4⋊C4D4×D6111yescharacteristic
1816C4⋊C4C23×D6111yescharacteristic
1817C4⋊C4C23×D6111yescharacteristic
1818C22⋊C4—21no—
1819C22⋊C4—21no—
1820C22⋊C4—21no—
1821C22⋊C4—21no—
1822C22⋊C4—21no—
1823C22⋊C4—21no—
1824C22⋊C4—21no—
1825C22⋊C4—611no—
1826C22⋊C4—611no—
1827C22⋊C4—611no—
1828C22⋊C4—611no—
1829C22⋊C4—611no—
1830C22⋊C4—611no—
1831C22⋊C4—1221no—
1832C22⋊C4—1221no—
1833C22⋊C4—1221no—
1834C22⋊C4—1221no—
1835C22⋊C4—1221no—
1836C22⋊C4—1221no—
1837C22⋊C4—1221no—
1838C22⋊C4—1221no—
1839C22⋊C4—1221no—
1840C22⋊C4—1221no—
1841C22⋊C4—1221no—
1842C22⋊C4—1221no—
1843C22⋊C4—1221no—
1844C22⋊C4—1221no—
1845C22⋊C4—1221no—
1846C22⋊C4—1221no—
1847C22⋊C4—1221no—
1848C22⋊C4—1221no—
1849C22⋊C4—1221no—
1850C22⋊C4—1221no—
1851C22⋊C4—1221no—
1852C22⋊C4—1221no—
1853C22⋊C4—1221no—
1854C22⋊C4D4×D6111yescharacteristic
1855C22⋊C4D4×D6111yescharacteristic
1856C42—21no—
1857C42—611no—
1858C42—611no—
1859C42—611no—
1860C42—1221no—
1861C42—1221no—
1862C42—1221no—
1863C42—1221no—
1864C42—1221no—
1865C42C23×D6111yescharacteristic
1866C23—21no—
1867C23—21no—
1868C23—21no—
1869C23—21no—
1870C23—42no—
1871C23—81no—
1872C23—81no—
1873C23—611no—
1874C23—611no—
1875C23—611no—
1876C23—1221no—
1877C23—1221no—
1878C23—1221no—
1879C23—1221no—
1880C23—4881no—
1881C23—4881no—
1882C23—4881no—
1883C23—4881no—
1884C23—4881no—
1885C23—4881no—
1886C23—4881no—
1887C23—4881no—
1888C23—4881no—
1889C23—4881no—
1890C23—4881no—
1891C23—4881no—
1892C23—4881no—
1893C23—4881no—
1894C23—4881no—
1895C23—4881no—
1896C23—2442no—
1897C23—2442no—
1898C23—2442no—
1899C23—2442no—
1900C23—2442no—
1901C23—2442no—
1902C23—2442no—
1903C23—2442no—
1904C23C2×D4×D6111yescharacteristic
1905C23C2×D4×D6111yescharacteristic
1906Q8—21no—
1907Q8—21no—
1908Q8—21no—
1909Q8—612no—
1910Q8—1222no—
1911Q8—1222no—
1912Q8—1221no—
1913Q8—1221no—
1914Q8—1221no—
1915Q8—2442no—
1916Q8—2442no—
1917Q8—2442no—
1918Q8C2×D4×D6112yes—
1919D4—21no—
1920D4—21no—
1921D4—21no—
1922D4—21no—
1923D4—21no—
1924D4—21no—
1925D4—21no—
1926D4—41no—
1927D4—42no—
1928D4—42no—
1929D4—42no—
1930D4—42no—
1931D4—42no—
1932D4—81no—
1933D4—81no—
1934D4—81no—
1935D4—81no—
1936D4—612no—
1937D4—1222no—
1938D4—1222no—
1939D4—1224no—
1940D4—1222no—
1941D4—1222no—
1942D4—1222no—
1943D4—1222no—
1944D4—1224no—
1945D4—1221no—
1946D4—1221no—
1947D4—1221no—
1948D4—1221no—
1949D4—1221no—
1950D4—1221no—
1951D4—1221no—
1952D4—4881no—
1953D4—4881no—
1954D4—4881no—
1955D4—4881no—
1956D4—4881no—
1957D4—4881no—
1958D4—4881no—
1959D4—4881no—
1960D4—4881no—
1961D4—4881no—
1962D4—4881no—
1963D4—4881no—
1964D4—2441no—
1965D4—2442no—
1966D4—2442no—
1967D4—2442no—
1968D4—2442no—
1969D4—2442no—
1970D4—2442no—
1971D4—2442no—
1972D4—2442no—
1973D4—2441no—
1974D4—2441no—
1975D4—2442no—
1976D4—2442no—
1977D4—2442no—
1978D4—2442no—
1979D4—2442no—
1980D4—2442no—
1981D4—2442no—
1982D4—2442no—
1983D4C2×D4×D6112yes—
1984C2×C4—21no—
1985C2×C4—21no—
1986C2×C4—21no—
1987C2×C4—21no—
1988C2×C4—21no—
1989C2×C4—21no—
1990C2×C4—21no—
1991C2×C4—21no—
1992C2×C4—42no—
1993C2×C4—42no—
1994C2×C4—42no—
1995C2×C4—81no—
1996C2×C4—611no—
1997C2×C4—612no—
1998C2×C4—612no—
1999C2×C4—611no—
2000C2×C4—611no—
2001C2×C4—611no—
2002C2×C4—611no—
2003C2×C4—1224no—
2004C2×C4—1224no—
2005C2×C4—1221no—
2006C2×C4—1221no—
2007C2×C4—1221no—
2008C2×C4—1221no—
2009C2×C4—1221no—
2010C2×C4—1221no—
2011C2×C4—1221no—
2012C2×C4—1221no—
2013C2×C4—4881no—
2014C2×C4—2441no—
2015C2×C4—2441no—
2016C2×C4—2442no—
2017C2×C4—2442no—
2018C2×C4—2442no—
2019C2×C4—2442no—
2020C2×C4—2442no—
2021C2×C4—2442no—
2022C2×C4—2442no—
2023C2×C4—2442no—
2024C2×C4—2442no—
2025C2×C4—2442no—
2026C2×C4C2×D4×D6111yescharacteristic
2027C2×C4C2×D4×D6111yescharacteristic
2028C2×C4C2×D4×D6111yescharacteristic
2029C2×C4C2×D4×D6111yescharacteristic
2030C2×C4C24×D6111yescharacteristic
2031C8—21no—
2032C8—21no—
2033C8—21no—
2034C8—612no—
2035C8—1221no—
2036C8—1221no—
2037C8—1221no—
2038C8C2×D4×D6112yes—
2039C22—21no—
2040C22—21no—
2041C22—22no—
2042C22—21no—
2043C22—21no—
2044C22—21no—
2045C22—21no—
2046C22—41no—
2047C22—41no—
2048C22—41no—
2049C22—41no—
2050C22—41no—
2051C22—41no—
2052C22—41no—
2053C22—41no—
2054C22—41no—
2055C22—41no—
2056C22—41no—
2057C22—162no—
2058C22—612no—
2059C22—1221no—
2060C22—1221no—
2061C22—1221no—
2062C22—1222no—
2063C22—1221no—
2064C22—1221no—
2065C22—1221no—
2066C22—1221no—
2067C22—1221no—
2068C22—9762no—
2069C22—9762no—
2070C22—9762no—
2071C22—9762no—
2072C22—9762no—
2073C22—9762no—
2074C22—9762no—
2075C22—9762no—
2076C22—2441no—
2077C22—2441no—
2078C22—2441no—
2079C22—2441no—
2080C22—2441no—
2081C22—2441no—
2082C22—2441no—
2083C22—2441no—
2084C22—2441no—
2085C22—2441no—
2086C22—2441no—
2087C22C22×D4×D6111yescharacteristic
2088C4—21no—
2089C4—21no—
2090C4—22no—
2091C4—21no—
2092C4—21no—
2093C4—41no—
2094C4—41no—
2095C4—41no—
2096C4—612no—
2097C4—1221no—
2098C4—1221no—
2099C4—1222no—
2100C4—1221no—
2101C4—1221no—
2102C4—2441no—
2103C4—2441no—
2104C4—2441no—
2105C4C22×D4×D6111yescharacteristic
2106C4H(5,𝔽2)×D6111yescharacteristic
2107C2—41no—
2108C2—41no—
2109C2—42no—
2110C2—81no—
2111C2—81no—
2112C2—81no—
2113C2—1222no—
2114C2—4881no—
2115C2—4881no—
2116C2—4881no—
2117C2—2441no—
2118C2—2441no—
2119C2—2442no—
2120C2D42×D6111yescharacteristic
2121C2#2146059411yescharacteristic
2122C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3268C2
socleC22×C61C23×D4
hypercenter#3268D61
hypocenterC61#61082
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×#16840569C2semidirect
2. C2×#16840566C2semidirect
3. #21459605C2semidirect
4. #21459596C2semidirect
5. #21457410C2semidirect
6. #21457408C2semidirect
7. #21457402C2semidirect
8. #21457400C2semidirect
9. #21457361C2semidirect
10. #21457359C2semidirect
11. #21457353C2semidirect
12. #21457321C2semidirect
13. #21457319C2semidirect
14. #21457313C2semidirect
15. #21457311C2semidirect
16. #21457302C2semidirect
17. #21457300C2semidirect
18. #21457294C2semidirect
19. #21457292C2semidirect
20. #496×D61C2semidirect
21. #21455462C2semidirect
22. #21455456C2semidirect
23. #21455310C2semidirect
24. #21455294C2semidirect
25. #21455102C2semidirect
26. #21455093C2semidirect
27. #21455084C2semidirect
28. #21455082C2semidirect
29. #21454614C2semidirect
30. #21454533C2semidirect
31. C61×#3268C2semidirect
32. C2×#14519824C22semidirect
34. C2×#14519823C22semidirect
35. C2×#14519822C22semidirect
38. C2×#14519809C22semidirect
39. C2×#14519809C22semidirect
40. C2×#14519807C22semidirect
41. C2×#14519805C22semidirect
43. C2×#14519804C22semidirect
44. C2×#14519802C22semidirect
45. C2×#14519801C22semidirect
46. C2×#14519801C22semidirect
47. C2×#14519801C22semidirect
48. C2×#14519801C22semidirect
50. C2×#14519798C22semidirect
51. C2×#14519798C22semidirect
52. C2×#14519797C22semidirect
53. C22×#11758190C22semidirect
54. C2×SD16×D61C22semidirect
55. C2×SD16×D61C22semidirect
56. C2×SD16×D61C22semidirect
57. C22×#11758199C22semidirect
58. C2×D8×D61C22semidirect
59. C2×D8×D61C22semidirect
60. C2×D8×D61C22semidirect
61. C2×#14519785C22semidirect
62. C2×#14519783C22semidirect
63. #16840434C22semidirect
64. #16840431C22semidirect
65. #16840431C22semidirect
66. #16840422C22semidirect
67. #16840421C22semidirect
68. #16840420C22semidirect
69. #16840418C22semidirect
70. #16840407C22semidirect
71. #16840406C22semidirect
75. #16840400C22semidirect
78. D4×D244C22semidirect
80. #16840397C22semidirect
83. #16840396C22semidirect
84. #16840396C22semidirect
85. #16840335C22semidirect
90. #16840328C22semidirect
91. #16840328C22semidirect
97. #127×D61C22semidirect
99. #124×D61C22semidirect
100. C4×#11758226C22semidirect
101. C4×#11758224C22semidirect
102. #16840152C22semidirect
103. #16840151C22semidirect
104. #16840150C22semidirect
105. #16840150C22semidirect
106. #16840149C22semidirect
107. #16840148C22semidirect
108. #16840148C22semidirect
109. #16840014C22semidirect
110. #16840014C22semidirect
111. #16840013C22semidirect
112. #16840013C22semidirect
113. #16840009C22semidirect
114. #16840008C22semidirect
115. #16840005C22semidirect
116. #16839999C22semidirect
117. #16839998C22semidirect
118. #16839995C22semidirect
119. #16839994C22semidirect
120. #16839993C22semidirect
121. #16839990C22semidirect
122. #16839989C22semidirect
123. #16839986C22semidirect
124. #16839984C22semidirect
125. #16839982C22semidirect
126. #16839980C22semidirect
127. #16839978C22semidirect
128. #16839976C22semidirect
129. #16839974C22semidirect
130. #16839963C22semidirect
131. #16839961C22semidirect
132. #16839961C22semidirect
133. #16839959C22semidirect
134. #16839957C22semidirect
135. #16839955C22semidirect
136. #16839955C22semidirect
137. #16839927C22semidirect
138. #16839924C22semidirect
139. #16839923C22semidirect
140. #16839915C22semidirect
141. #16839914C22semidirect
142. #16839912C22semidirect
143. #16839911C22semidirect
144. #16839910C22semidirect
145. #16839909C22semidirect
146. #16839908C22semidirect
147. #16839908C22semidirect
148. #16839907C22semidirect
149. #16839907C22semidirect
150. #16839906C22semidirect
151. #16839905C22semidirect
152. #16839904C22semidirect
153. #16839904C22semidirect
154. #16839903C22semidirect
155. #16839902C22semidirect
156. #16839900C22semidirect
157. #16839899C22semidirect
158. #16839898C22semidirect
159. #16839897C22semidirect
160. #16839897C22semidirect
161. #16839896C22semidirect
162. #16839895C22semidirect
163. #16839894C22semidirect
164. #16839894C22semidirect
165. #16839872C22semidirect
166. #16839871C22semidirect
167. #16839867C22semidirect
168. #16839866C22semidirect
169. #16839864C22semidirect
170. #16839863C22semidirect
171. #16839861C22semidirect
172. #16839836C22semidirect
173. #16839835C22semidirect
174. #16839834C22semidirect
175. #16839833C22semidirect
176. #16839832C22semidirect
177. #16839831C22semidirect
178. #16839830C22semidirect
179. #16839799C22semidirect
180. #16839784C22semidirect
181. #16839769C22semidirect
182. #16839765C22semidirect
183. #16839765C22semidirect
184. #16839765C22semidirect
185. #16839757C22semidirect
186. #16839755C22semidirect
187. #16839727C22semidirect
188. #16839727C22semidirect
189. #97×D61C22semidirect
190. C2×AGL(1,ℤ/8)×C61C22semidirect
191. C2×#135×C61C22semidirect
192. C61×#550C22semidirect
193. C61×#546C22semidirect
194. C61×#496C22semidirect
195. C61×#468C22semidirect
196. C61×#466C22semidirect
197. C61×#464C22semidirect
198. C61×#459C22semidirect
199. C61×#452C22semidirect
200. C61×#449C22semidirect
201. C61×#449C22semidirect
202. C61×#447C22semidirect
203. C61×#440C22semidirect
204. C61×#435C22semidirect
268. #14519798D4semidirect
605. #11758224C2×D4semidirect
688. SD16×C61C2×D4semidirect
725. #11758202C2×D4semidirect
741. #11758199C2×D4semidirect
795. #11758190C2×D4semidirect
803. C8×D61C2×D4semidirect
1057. #3268D61semidirect
1110. C2×AGL(1,ℤ/8)C2×D61semidirect
1115. C2×#135C2×D61semidirect
1129. #550C2×D61semidirect
1141. #546C2×D61semidirect
1174. #496C2×D61semidirect
1182. #468C2×D61semidirect
1186. #466C2×D61semidirect
1194. #464C2×D61semidirect
1206. #459C2×D61semidirect
1210. #452C2×D61semidirect
1225. #449C2×D61semidirect
1226. #449C2×D61semidirect
1238. #447C2×D61semidirect
1246. #440C2×D61semidirect
1254. #435C2×D61semidirect
1266. C61#61082semidirect
1766. SD16D4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168405692
C2×#168405662
#214596052
#214595962
#214574102
#214574082
#214574022
#214574002
#214573612
#214573592
#214573532
#214573212
#214573192
#214573132
#214573112
#214573022
#214573002
#214572942
#214572922
#496×D612
#214554622
#214554562
#214553102
#214552942
#214551022
#214550932
#214550842
#214550822
#214546142
#214545332
C61×#32682
#6108261