Finite Group Databasebeta

← #30555824

Subgroups — #30555824

Order 15616.

2740 conjugacy classes of subgroups.

The subgroup lattice has 2054 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840571C211yesmaximal, characteristic, complemented
2C2×#137×D61C211yesmaximal, characteristic, complemented
3#21459487C211yesmaximal, characteristic, complemented
4#21459469C211yesmaximal, characteristic, complemented
5#21457561C211yesmaximal, characteristic, complemented
6#21457558C211yesmaximal, characteristic, complemented
7#21457514C211yesmaximal, characteristic, complemented
8#21457508C211yesmaximal, characteristic, complemented
9#21457478C211yesmaximal, characteristic, complemented
10#21457455C211yesmaximal, characteristic, complemented
11#21457453C211yesmaximal, characteristic, complemented
12#21457400C211yesmaximal, characteristic, complemented
13#21457398C211yesmaximal, characteristic, complemented
14#21457395C211yesmaximal, characteristic, complemented
15#21457383C211yesmaximal, characteristic, complemented
16#21457336C211yesmaximal, characteristic, complemented
17#21457330C211yesmaximal, characteristic, complemented
18#21457321C211yesmaximal, characteristic, complemented
19#21457309C211yesmaximal, characteristic, complemented
20#21456288C211yesmaximal, characteristic, complemented
21#21455505C211yesmaximal, characteristic, complemented
22#21455433C211yesmaximal, characteristic, complemented
23#21455366C211yesmaximal, characteristic, complemented
24#21455335C211yesmaximal, characteristic, complemented
25#21455129C211yesmaximal, characteristic, complemented
26#21455093C211yesmaximal, characteristic, complemented
27#21455040C211yesmaximal, characteristic, complemented
28#448×D61C211yesmaximal, characteristic, complemented
29#21454657C211yesmaximal, characteristic, complemented
30#21454548C211yesmaximal, characteristic, complemented
31C61×#3278C211yesmaximal, characteristic, complemented
32C2×#14519825C2211yescharacteristic, complemented
33C2×#14519823C2211yescharacteristic
34C2×#41×D61C2211yescharacteristic
35C22×Q8×D61C2211yescharacteristic, complemented
36#16840571—28no—
37C2×#14519810C2211yescharacteristic, complemented
38C2×#14519809C2211yescharacteristic
39C2×#14519809C2211yescharacteristic
40C2×#14519809C2211yescharacteristic, complemented
41C2×#14519808C2211yescharacteristic, complemented
42C2×#14519807C2211yescharacteristic, complemented
43C2×#14519806C2211yescharacteristic, complemented
44C2×#14519806C2211yescharacteristic, complemented
45#137×D61—28no—
46C2×#14519805C2211yescharacteristic, complemented
47C2×#14519804C2211yescharacteristic, complemented
48C2×#14519804C2211yescharacteristic, complemented
49C2×#14519800C2211yescharacteristic
50C2×#14519800C2211yescharacteristic, complemented
51C2×#14519798C2211yescharacteristic, complemented
52C2×#14519797C2211yescharacteristic, complemented
53C2×Q16×D61C2211yescharacteristic, complemented
54C2×Q16×D61C2211yescharacteristic, complemented
55C22×#11758201C2211yescharacteristic, complemented
56C2×SD16×D61C2211yescharacteristic, complemented
57C2×SD16×D61C2211yescharacteristic, complemented
58C2×SD16×D61C2211yescharacteristic, complemented
59C2×SD16×D61C2211yescharacteristic, complemented
60C2×SD16×D61C2211yescharacteristic, complemented
61C2×#14519785C2211yescharacteristic, complemented
62C2×M16×D61C2211yescharacteristic, complemented
63#16840431C2211yescharacteristic
64#16840427—21no—
65#16840427C2211yescharacteristic, complemented
66Q8×C22⋊D61C2211yescharacteristic, complemented
67#16840425—21no—
68#16840425C2211yescharacteristic, complemented
69#16840424C2211yescharacteristic
70#16840424C2211yescharacteristic, complemented
71#16840423C2211yescharacteristic, complemented
72#16840422—21no—
73#16840422C2211yescharacteristic, complemented
74#16840421—21no—
75#16840421C2211yescharacteristic, complemented
76#16840419C2211yescharacteristic
77#16840409—21no—
78#16840409C2211yescharacteristic
79#16840408—21no—
80#16840408C2211yescharacteristic
81#16840397—21no—
82#16840397C2211yescharacteristic
83#16840396—21no—
84#16840396C2211yescharacteristic
85#16840341—21no—
86#16840341C2211yescharacteristic
87#16840337—21no—
88#16840337C2211yescharacteristic, complemented
89#16840335—21no—
90#16840335C2211yescharacteristic, complemented
91#16840325—21no—
92#16840325C2211yescharacteristic
93#16840275—21no—
94#16840275C2211yescharacteristic, complemented
95#16840271—21no—
96#16840271—21no—
97#16840271C2211yescharacteristic
98#121×D61—21no—
99#121×D61C2211yescharacteristic
100#16840244C2211yescharacteristic
101#16840238C2211yescharacteristic, complemented
102#16840154C2211yescharacteristic, complemented
103#16840153C2211yescharacteristic, complemented
104#16840149C2211yescharacteristic, complemented
105#16840148C2211yescharacteristic, complemented
106#16840146C2211yescharacteristic, complemented
107#16840143C2211yescharacteristic, complemented
108#16840133C2211yescharacteristic, complemented
109#16840020C2211yescharacteristic, complemented
110#16840019C2211yescharacteristic, complemented
111#16840015C2211yescharacteristic, complemented
112#16840013C2211yescharacteristic, complemented
113#16840010C2211yescharacteristic, complemented
114#16840007C2211yescharacteristic, complemented
115#16840004C2211yescharacteristic, complemented
116#16840001C2211yescharacteristic, complemented
117#16839999C2211yescharacteristic, complemented
118#16839997C2211yescharacteristic, complemented
119#16839994C2211yescharacteristic, complemented
120#16839989C2211yescharacteristic, complemented
121#16839988C2211yescharacteristic, complemented
122#16839988C2211yescharacteristic, complemented
123#16839986C2211yescharacteristic, complemented
124#16839985C2211yescharacteristic, complemented
125#16839984C2211yescharacteristic, complemented
126#16839984C2211yescharacteristic, complemented
127#16839983C2211yescharacteristic, complemented
128#16839982C2211yescharacteristic, complemented
129#16839980C2211yescharacteristic, complemented
130#16839978C2211yescharacteristic, complemented
131#16839970C2211yescharacteristic, complemented
132#16839966C2211yescharacteristic, complemented
133#16839964C2211yescharacteristic, complemented
134#16839961C2211yescharacteristic, complemented
135#16839960C2211yescharacteristic, complemented
136#16839959C2211yescharacteristic, complemented
137#16839927C2211yescharacteristic, complemented
138#16839927C2211yescharacteristic, complemented
139#16839926C2211yescharacteristic, complemented
140#16839924C2211yescharacteristic, complemented
141#16839923C2211yescharacteristic, complemented
142#16839922C2211yescharacteristic, complemented
143#16839919C2211yescharacteristic, complemented
144#16839918C2211yescharacteristic, complemented
145#16839916C2211yescharacteristic, complemented
146#16839915C2211yescharacteristic, complemented
147#16839914C2211yescharacteristic, complemented
148#16839912C2211yescharacteristic, complemented
149#16839911C2211yescharacteristic, complemented
150#16839911C2211yescharacteristic, complemented
151#16839909C2211yescharacteristic, complemented
152#16839907C2211yescharacteristic, complemented
153#16839906C2211yescharacteristic, complemented
154#16839905C2211yescharacteristic, complemented
155#16839903C2211yescharacteristic, complemented
156#16839902C2211yescharacteristic, complemented
157#16839902C2211yescharacteristic, complemented
158#16839902C2211yescharacteristic, complemented
159#16839901C2211yescharacteristic, complemented
160#16839900C2211yescharacteristic, complemented
161#16839899C2211yescharacteristic, complemented
162#16839899C2211yescharacteristic, complemented
163#16839899C2211yescharacteristic, complemented
164#16839897C2211yescharacteristic, complemented
165#16839869C2211yescharacteristic, complemented
166#16839867C2211yescharacteristic, complemented
167#16839861C2211yescharacteristic, complemented
168#16839860C2211yescharacteristic, complemented
169#16839854C2211yescharacteristic, complemented
170C4×#11758190C2211yescharacteristic, complemented
171#16839847C2211yescharacteristic, complemented
172#16839837C2211yescharacteristic, complemented
173#16839834C2211yescharacteristic, complemented
174#16839832C2211yescharacteristic, complemented
175#16839831C2211yescharacteristic, complemented
176#16839831C2211yescharacteristic, complemented
177C8×D244C2211yescharacteristic, complemented
178#16839825C2211yescharacteristic, complemented
179#16839803C2211yescharacteristic, complemented
180#16839787C2211yescharacteristic, complemented
181#16839765C2211yescharacteristic, complemented
182#16839762C2211yescharacteristic, complemented
183#16839757C2211yescharacteristic
184#16839755C2211yescharacteristic, complemented
185#103×D61C2211yescharacteristic, complemented
186#103×D61C2211yescharacteristic, complemented
187#16839727C2211yescharacteristic, complemented
188C22⋊C8×D61C2211yescharacteristic, complemented
189#16839716C2211yescharacteristic, complemented
190C2×#137×C61C2211yescharacteristic, complemented
191C2×#137×C61C2211yescharacteristic, complemented
192C61×#550C2211yescharacteristic
193D4×Q8×C61C2211yescharacteristic, complemented
194C61×#492C2211yescharacteristic, complemented
195C61×#468C2211yescharacteristic, complemented
196C61×#468C2211yescharacteristic, complemented
197C61×#462C2211yescharacteristic, complemented
198C61×#460C2211yescharacteristic, complemented
199C61×#452C2211yescharacteristic, complemented
200C61×#452C2211yescharacteristic, complemented
201C61×#448C2211yescharacteristic, complemented
202C61×#448C2211yescharacteristic, complemented
203C4×Q16×C61C2211yescharacteristic, complemented
204C61×#436C2211yescharacteristic, complemented
205#14519825—24no—
206#14519825—42no—
207#14519823—24no—
208#14519823—42no—
209C2×#11758226—21no—
210C2×#11758226C2311yescharacteristic
211C2×#11758226C2311yescharacteristic
212C2×#11758226C2311yescharacteristic
213C2×#11758226C2311yescharacteristic
214C2×#11758222—21no—
215C2×#11758222—21no—
216C2×#11758222—21no—
217C2×#11758222—21no—
218C2×#11758222C2311yescharacteristic
219C2×#11758222C2311yescharacteristic
220C2×#11758222C2311yescharacteristic
221C2×#11758224—21no—
222C2×#11758224C2311yescharacteristic
223#41×D61—24no—
224#41×D61—42no—
225C22×Dic122—21no—
226C22×Dic122C2311yescharacteristic
227C2×Q8×D61—21no—
228C2×Q8×D61—21no—
229C2×Q8×D61—21no—
230C2×Q8×D61—24no—
231C2×Q8×D61—42no—
232C2×Q8×D61C2311yescharacteristic
233C2×Q8×D61C2311yescharacteristic
234C2×Q8×D61C2311yescharacteristic
235C2×Q8×D61C2311yescharacteristic
236C2×Q8×D61C2311yescharacteristic
237C2×Q8×D61C2311yescharacteristic
238C22×D244—21no—
239C22×D244C2311yescharacteristic
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×D61C2311yescharacteristic
247C2×D4×D61C2311yescharacteristic
248C2×D4×D61C2311yescharacteristic
249C22×C4×D61—21no—
250C22×C4×D61—21no—
251C22×C4×D61C2311yescharacteristic
252#14519810—24no—
253#14519809—24no—
254#14519809—24no—
255#14519809D418yescomplemented
256#14519808—24no—
257#14519807—24no—
258#14519806—24no—
259#14519806—24no—
260#14519805—24no—
261#14519804—24no—
262#14519804—24no—
263#14519800—24no—
264#14519800—24no—
265#14519798—42no—
266#14519797—24no—
267C2×Dic244C2311yescharacteristic
268C2×Dic244C2311yescharacteristic
269C2×#11758202C2311yescharacteristic
270C2×#11758202C2311yescharacteristic
271C2×#11758202C2311yescharacteristic
272C2×#11758202C2311yescharacteristic
273C2×#11758202C2311yescharacteristic
274Q16×D61—24no—
275Q16×D61—24no—
276C2×#11758190C2311yescharacteristic
277C2×#11758190C2311yescharacteristic
278C2×#11758190C2311yescharacteristic
279C2×#11758190C2311yescharacteristic
280C2×#11758190C2311yescharacteristic
281C2×#11758200C2311yescharacteristic
282C2×#11758200C2311yescharacteristic
283C2×#11758200C2311yescharacteristic
284C2×#11758200C2311yescharacteristic
285C2×#11758201—24no—
286C2×#11758201C2311yescharacteristic
287C2×#11758201C2311yescharacteristic
288C2×#11758201C2311yescharacteristic
289C2×#11758201C2311yescharacteristic
290C2×#11758201C2311yescharacteristic
291C2×#11758201C2311yescharacteristic
292C2×#11758201C2311yescharacteristic
293SD16×D61—24no—
294SD16×D61—24no—
295SD16×D61—24no—
296SD16×D61—24no—
297SD16×D61—42no—
298C2×D488C2311yescharacteristic
299C2×D488C2311yescharacteristic
300C2×#11758199C2311yescharacteristic
301C2×#11758199C2311yescharacteristic
302#14519785—24no—
303C2×#11758194C2311yescharacteristic
304C2×#11758189C2311yescharacteristic
305C2×#11758189C2311yescharacteristic
306C2×#11758189C2311yescharacteristic
307M16×D61—24no—
308C22×#92418C2311yescharacteristic
309C2×C8×D61C2311yescharacteristic
310C2×C8×D61C2311yescharacteristic
311C2×C8×D61C2311yescharacteristic
312C2×C8×D61C2311yescharacteristic
313C2×C8×D61C2311yescharacteristic
314#14519776—21no—
315#14519776—21no—
316#14519776—21no—
317#14519775—21no—
318#14519775C2311yescharacteristic
319#14519773—21no—
320#14519773C2311yescharacteristic
321#14519766—21no—
322#14519766C2311yescharacteristic
323#14519765—21no—
324#14519765—21no—
325#14519765C2311yescharacteristic
326#14519765C2311yescharacteristic
327#14519764—21no—
328#14519764C2311yescharacteristic
329#14519763—21no—
330#14519763—21no—
331#14519763—21no—
332#14519762—21no—
333#14519762—21no—
334#14519762—21no—
335#14519762—21no—
336#14519762—21no—
337#14519762D411yescharacteristic
338#14519759—21no—
339#14519759—21no—
340#14519759D411yescharacteristic
341#14519757—21no—
342#14519757—21no—
343#14519757C2311yescharacteristic
344#14519757C2311yescharacteristic
345#14519756—21no—
346#14519756—21no—
347#14519756C2311yescharacteristic
348#14519756C2311yescharacteristic
349#14519755—21no—
350#14519755—21no—
351#14519755—21no—
352#14519755—21no—
353#14519755—21no—
354#14519755—21no—
355#14519755—21no—
356#14519755D411yescharacteristic
357#14519754—21no—
358#14519754—21no—
359#14519754D411yescharacteristic
360#14519753—21no—
361#14519753—21no—
362#14519753C2311yescharacteristic
363#14519753C2311yescharacteristic
364#14519752—21no—
365#14519752—21no—
366#14519752C2311yescharacteristic
367#14519752C2311yescharacteristic
368#14519751—21no—
369#14519751—21no—
370#14519751C2311yescharacteristic
371#14519751C2311yescharacteristic
372#14519750—21no—
373#14519750—21no—
374#14519750—21no—
375#14519750—21no—
376#14519750—21no—
377#14519750D411yescharacteristic
378#14519749—21no—
379#14519749—21no—
380#14519749—21no—
381#14519749—21no—
382#14519749—21no—
383#14519749D411yescharacteristic
384#14519748—21no—
385#14519748—21no—
386#14519748—21no—
387#14519748—21no—
388#14519748—21no—
389#14519748C2311yescharacteristic
390#14519748C2311yescharacteristic
391#14519747—21no—
392#14519747—21no—
393#14519747D411yescharacteristic
394#14519745—21no—
395#14519745—21no—
396#14519745—21no—
397#14519745—21no—
398#14519745—21no—
399#14519745—21no—
400#14519745—21no—
401#14519745D411yescharacteristic
402Q8×Dic61C2311yescharacteristic
403Q8×Dic61C2311yescharacteristic
404C4×Dic122—21no—
405C4×Dic122C2311yescharacteristic
406#14519742—21no—
407#14519742C2311yescharacteristic
408C4×D244—21no—
409C4×D244—21no—
410C4×D244—21no—
411C4×D244C2311yescharacteristic
412C4×D244C2311yescharacteristic
413#14519739—21no—
414#14519739—21no—
415#14519739—21no—
416#14519739—21no—
417#14519739C2311yescharacteristic
418C4×C22⋊D61—21no—
419C4×C22⋊D61—21no—
420C4×C22⋊D61—21no—
421C4×C22⋊D61—21no—
422C4×C22⋊D61C2311yescharacteristic
423C4×C22⋊D61C2311yescharacteristic
424#14519737—21no—
425#14519737—21no—
426#14519737—21no—
427#14519735—21no—
428#14519735C2311yescharacteristic
429#14519734—21no—
430#14519734—21no—
431#14519734C2311yescharacteristic
432C4⋊C4×D61—21no—
433C4⋊C4×D61C2311yescharacteristic
434C22⋊C4×D61—21no—
435C22⋊C4×D61—21no—
436C22⋊C4×D61—21no—
437#14519710C2311yescharacteristic
438#14519709C2311yescharacteristic
439#14519708C2311yescharacteristic
440C4⋊#92418C2311yescharacteristic
441#14519706C2311yescharacteristic
442#14519706C2311yescharacteristic
443#14519702C2311yescharacteristic
444#14519702C2311yescharacteristic
445#14519702C2311yescharacteristic
446#14519701C2311yescharacteristic
447#14519701C2311yescharacteristic
448#14519701C2311yescharacteristic
449#14519701C2311yescharacteristic
450#14519700C2311yescharacteristic
451#14519700C2311yescharacteristic
452#14519700C2311yescharacteristic
453#14519699C2311yescharacteristic
454#14519699C2311yescharacteristic
455#14519699C2311yescharacteristic
456#14519698C2311yescharacteristic
457#14519698C2311yescharacteristic
458#14519697C2311yescharacteristic
459#14519697C2311yescharacteristic
460#14519697C2311yescharacteristic
461C22⋊#92418C2311yescharacteristic
462C22⋊#92418C2311yescharacteristic
463#14519689C2311yescharacteristic
464#14519689C2311yescharacteristic
465#14519689C2311yescharacteristic
466#14519689C2311yescharacteristic
467#14519688C2311yescharacteristic
468#14519687C2311yescharacteristic
469C8×Dic61C2311yescharacteristic
470C2×#41×C61C2311yescharacteristic
471C2×#41×C61C2311yescharacteristic
472C22×Q8×C61C2311yescharacteristic
473C22×Q8×C61C2311yescharacteristic
474#137×C61—24no—
475#137×C61—24no—
476C2×Q16×C61C2311yescharacteristic
477C2×Q16×C61C2311yescharacteristic
478C2×Q16×C61C2311yescharacteristic
479C2×SD16×C61C2311yescharacteristic
480C2×SD16×C61C2311yescharacteristic
481C2×SD16×C61C2311yescharacteristic
482C2×SD16×C61C2311yescharacteristic
483C2×SD16×C61C2311yescharacteristic
484C2×SD16×C61C2311yescharacteristic
485C2×M16×C61C2311yescharacteristic
486C2×M16×C61C2311yescharacteristic
487C4⋊Q8×C61—21no—
488C4⋊Q8×C61C2311yescharacteristic
489#127×C61—21no—
490#127×C61C2311yescharacteristic
491C22⋊Q8×C61—21no—
492C22⋊Q8×C61—21no—
493C22⋊Q8×C61C2311yescharacteristic
494C22⋊Q8×C61C2311yescharacteristic
495#121×C61—21no—
496#121×C61—21no—
497#121×C61C2311yescharacteristic
498#121×C61C2311yescharacteristic
499C4×Q8×C61C2311yescharacteristic
500C4×Q8×C61C2311yescharacteristic
501C4×D4×C61—21no—
502C4×D4×C61—21no—
503C4×D4×C61C2311yescharacteristic
504#107×C61C2311yescharacteristic
505C4⋊C8×C61C2311yescharacteristic
506#103×C61C2311yescharacteristic
507#103×C61C2311yescharacteristic
508#103×C61C2311yescharacteristic
509#103×C61C2311yescharacteristic
510#102×C61C2311yescharacteristic
511#102×C61C2311yescharacteristic
512C22⋊C8×C61C2311yescharacteristic
513C22⋊C8×C61C2311yescharacteristic
514C4×C8×C61C2311yescharacteristic
515C23×D61—21no—
516C23×D61—21no—
517C23×D61—21no—
518C23×D61—21no—
519C23×D61C2×D411yescharacteristic
520#41×C61—22no—
521#41×C61—22no—
522#41×C61—41no—
523#41×C61—41no—
524C2×Q8×C61—21no—
525C2×Q8×C61—21no—
526C2×Q8×C61—22no—
527C2×Q8×C61—22no—
528C2×Q8×C61—41no—
529C2×Q8×C61—41no—
530C2×Q8×C61C2411yescharacteristic
531C2×Q8×C61C2411yescharacteristic
532C2×Q8×C61C2411yescharacteristic
533C2×Q8×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
541C2×D4×C61C2411yescharacteristic
542C2×D4×C61C2411yescharacteristic
543C22×C4×C61—21no—
544C22×C4×C61—21no—
545C22×C4×C61—21no—
546C22×C4×C61—21no—
547C22×C4×C61C2411yescharacteristic
548C22×C4×C61C2411yescharacteristic
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⋊D61C2×D411yescharacteristic
562C2×C22⋊D61C2×D411yescharacteristic
563C2×C22⋊D61C2×D411yescharacteristic
564C2×C22⋊D61C2×D411yescharacteristic
565C22×Dic61—21no—
566C22×Dic61—21no—
567C22×Dic61C2×D411yescharacteristic
568#11758226—22no—
569#11758226—22no—
570#11758226—22no—
571#11758226—22no—
572#11758226—22no—
573#11758226—41no—
574#11758226—41no—
575#11758226—44no—
576#11758226C2×D414yes—
577Q8×D61—22no—
578Q8×D61—22no—
579Q8×D61—22no—
580Q8×D61—22no—
581Q8×D61—22no—
582Q8×D61—22no—
583Q8×D61—22no—
584Q8×D61—44no—
585Q8×D61—41no—
586Q8×D61—41no—
587Q8×D61—41no—
588Q8×D61—41no—
589Q8×D61—44no—
590Q8×D61—44no—
591Q8×D61C2×D414yescomplemented
592#11758224—22no—
593#11758224—22no—
594#11758224—44no—
595D4×D61—22no—
596D4×D61—22no—
597D4×D61—22no—
598D4×D61—22no—
599D4×D61—41no—
600D4×D61—41no—
601D4×D61—44no—
602D4×D61—44no—
603D4×D61—44no—
604D4×D61—82no—
605D4×D61—82no—
606D4×D61—82no—
607#11758222—22no—
608#11758222—22no—
609#11758222—22no—
610#11758222—22no—
611#11758222—44no—
612#11758222—41no—
613#11758222—41no—
614#11758222—44no—
615#11758222—44no—
616#11758222—44no—
617C2×D244—21no—
618C2×D244—22no—
619C2×D244—21no—
620C2×D244—21no—
621C2×D244—21no—
622C2×D244—21no—
623C2×D244—21no—
624C2×D244—21no—
625C2×D244—41no—
626C2×D244—44no—
627C2×D244C2×D411yescharacteristic
628C2×D244C2×D411yescharacteristic
629C2×D244C2411yescharacteristic
630C2×D244C2411yescharacteristic
631C2×D244C2411yescharacteristic
632C2×C4×D61—21no—
633C2×C4×D61—21no—
634C2×C4×D61—22no—
635C2×C4×D61—22no—
636C2×C4×D61—21no—
637C2×C4×D61—21no—
638C2×C4×D61—21no—
639C2×C4×D61—21no—
640C2×C4×D61—21no—
641C2×C4×D61—21no—
642C2×C4×D61—21no—
643C2×C4×D61—21no—
644C2×C4×D61—21no—
645C2×C4×D61—21no—
646C2×C4×D61—21no—
647C2×C4×D61—21no—
648C2×C4×D61—21no—
649C2×C4×D61—44no—
650C2×C4×D61—44no—
651C2×C4×D61C2×D411yescharacteristic
652C2×C4×D61C2×D411yescharacteristic
653C2×C4×D61C2411yescharacteristic
654C2×C4×D61C2411yescharacteristic
655C2×C4×D61C2411yescharacteristic
656C2×Dic122—21no—
657C2×Dic122—22no—
658C2×Dic122—21no—
659C2×Dic122—21no—
660C2×Dic122—21no—
661C2×Dic122—21no—
662C2×Dic122—21no—
663C2×Dic122—21no—
664C2×Dic122—41no—
665C2×Dic122—44no—
666C2×Dic122C2×D411yescharacteristic
667C2×Dic122C2411yescharacteristic
668C2×Dic122C2411yescharacteristic
669C2×Dic122C2411yescharacteristic
670Q16×C61—22no—
671Q16×C61—22no—
672Q16×C61C2×D414yescomplemented
673SD16×C61—22no—
674SD16×C61—22no—
675SD16×C61—22no—
676SD16×C61—22no—
677SD16×C61—41no—
678SD16×C61—41no—
679M16×C61—22no—
680M16×C61—22no—
681C2×C8×C61C2411yescharacteristic
682C2×C8×C61C2411yescharacteristic
683C2×C8×C61C2411yescharacteristic
684C2×C8×C61C2411yescharacteristic
685C4⋊C4×C61—21no—
686C4⋊C4×C61—21no—
687C4⋊C4×C61—21no—
688C4⋊C4×C61—21no—
689C4⋊C4×C61—21no—
690C4⋊C4×C61—21no—
691C4⋊C4×C61C2×D411yescharacteristic
692C4⋊C4×C61C2411yescharacteristic
693C4⋊C4×C61C2411yescharacteristic
694C22⋊C4×C61—21no—
695C22⋊C4×C61—21no—
696C22⋊C4×C61—21no—
697C22⋊C4×C61—21no—
698C22⋊C4×C61C2×D411yescharacteristic
699C22⋊C4×C61C2×D411yescharacteristic
700C42×C61—21no—
701C42×C61—21no—
702C42×C61C2411yescharacteristic
703C22⋊Dic61—21no—
704C22⋊Dic61—21no—
705C22⋊Dic61—21no—
706C22⋊Dic61—21no—
707C22⋊Dic61—21no—
708C22⋊Dic61—21no—
709C22⋊Dic61C2×D411yescharacteristic
710C22⋊Dic61C2×D411yescharacteristic
711#11758202—22no—
712#11758202—22no—
713#11758202—22no—
714#11758202—41no—
715#11758202C2×D414yescomplemented
716#11758201—22no—
717#11758201—22no—
718#11758201—22no—
719#11758201—22no—
720#11758201—22no—
721#11758201—41no—
722#11758201C2×D414yescomplemented
723#11758200—22no—
724#11758200—22no—
725#11758200—22no—
726#11758200—41no—
727#11758199—22no—
728#11758199—41no—
729#11758198—21no—
730#11758198—21no—
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#11758198—21no—
743#11758198—21no—
744#11758198—21no—
745#11758198—21no—
746#11758198C2×D411yescharacteristic
747#11758198C2×D411yescharacteristic
748#11758198C2×D411yescharacteristic
749#11758198C2×D411yescharacteristic
750#11758198C2×D411yescharacteristic
751#11758198C2×D411yescharacteristic
752C4⋊Dic61—21no—
753C4⋊Dic61—21no—
754C4⋊Dic61—21no—
755C4⋊Dic61—21no—
756C4⋊Dic61C2×D411yescharacteristic
757C4⋊Dic61C2411yescharacteristic
758C4⋊Dic61C2411yescharacteristic
759#11758196—21no—
760#11758196—21no—
761#11758196—21no—
762#11758196—21no—
763#11758196—21no—
764#11758196—21no—
765#11758196—21no—
766#11758196—21no—
767#11758196—21no—
768#11758196C2×D411yescharacteristic
769#11758196C2×D411yescharacteristic
770#11758196C2×D411yescharacteristic
771#11758196C2×D411yescharacteristic
772C4×Dic61—21no—
773C4×Dic61—21no—
774C4×Dic61—21no—
775C4×Dic61—21no—
776C4×Dic61—21no—
777C4×Dic61C2411yescharacteristic
778#11758194—22no—
779C2×#92418—22no—
780C2×#92418C2411yescharacteristic
781C2×#92418C2411yescharacteristic
782C2×#92418C2411yescharacteristic
783C2×#92418C2411yescharacteristic
784Dic244—22no—
785Dic244—22no—
786D488—22no—
787D488—22no—
788#11758190—22no—
789#11758190—22no—
790#11758190—41no—
791#11758190—41no—
792#11758190C2×D414yescomplemented
793#11758189—22no—
794#11758189—22no—
795#11758189C2×D414yescomplemented
796C8×D61—22no—
797C8×D61—22no—
798C8×D61—22no—
799C8×D61—22no—
800C8×D61—22no—
801C23×C61—21no—
802C23×C61—21no—
803C23×C61C22×D411yescharacteristic
804C23×C61C22×D411yescharacteristic
805C22×D61—21no—
806C22×D61—22no—
807C22×D61—22no—
808C22×D61—21no—
809C22×D61—21no—
810C22×D61—41no—
811C22×D61—42no—
812C22×D61—42no—
813C22×D61—42no—
814C22×D61—42no—
815C22×D61—42no—
816C22×D61—81no—
817C22×D61—81no—
818C22×D61—81no—
819C22×D61—81no—
820C22×D61—81no—
821C22×D61—81no—
822C22×D61—81no—
823C22×D61C22×D411yescharacteristic
824C22×D61C22×D411yescharacteristic
825C22×D61C22×D411yescharacteristic
826Q8×C61—21no—
827Q8×C61—21no—
828Q8×C61—21no—
829Q8×C61—21no—
830Q8×C61—21no—
831Q8×C61—21no—
832Q8×C61—42no—
833Q8×C61—42no—
834Q8×C61C22×D412yes—
835Q8×C61C22×D412yes—
836D4×C61—21no—
837D4×C61—21no—
838D4×C61—21no—
839D4×C61—21no—
840D4×C61—41no—
841D4×C61—42no—
842D4×C61—42no—
843D4×C61—81no—
844D4×C61—81no—
845D4×C61—81no—
846D4×C61—81no—
847C2×C4×C61—21no—
848C2×C4×C61—21no—
849C2×C4×C61—21no—
850C2×C4×C61—21no—
851C2×C4×C61—21no—
852C2×C4×C61—21no—
853C2×C4×C61—21no—
854C2×C4×C61—21no—
855C2×C4×C61—21no—
856C2×C4×C61—21no—
857C2×C4×C61—42no—
858C2×C4×C61—42no—
859C2×C4×C61—42no—
860C2×C4×C61—42no—
861C2×C4×C61C22×D411yescharacteristic
862C2×C4×C61C22×D411yescharacteristic
863C2×C4×C61C22×D411yescharacteristic
864C2×C4×C61C22×D411yescharacteristic
865C2×C4×C61C2511yescharacteristic
866C22⋊D61—22no—
867C22⋊D61—22no—
868C22⋊D61—22no—
869C22⋊D61—41no—
870C22⋊D61—42no—
871C22⋊D61—42no—
872C22⋊D61—42no—
873C22⋊D61—42no—
874C22⋊D61—42no—
875C22⋊D61—42no—
876C22⋊D61—42no—
877C22⋊D61—42no—
878C22⋊D61—81no—
879C22⋊D61—81no—
880C22⋊D61—81no—
881C22⋊D61—81no—
882C2×Dic61—21no—
883C2×Dic61—22no—
884C2×Dic61—21no—
885C2×Dic61—21no—
886C2×Dic61—21no—
887C2×Dic61—21no—
888C2×Dic61—42no—
889C2×Dic61—42no—
890C2×Dic61C22×D411yescharacteristic
891C2×Dic61C22×D411yescharacteristic
892C2×Dic61C22×D411yescharacteristic
893C2×Dic61C22×D411yescharacteristic
894C2×Dic61C22×D411yescharacteristic
895D244—24no—
896D244—22no—
897D244—22no—
898D244—21no—
899D244—21no—
900D244—21no—
901D244—21no—
902D244—21no—
903D244—42no—
904D244—42no—
905D244—42no—
906D244—42no—
907D244—42no—
908D244—42no—
909D244C22×D412yes—
910C4×D61—22no—
911C4×D61—24no—
912C4×D61—21no—
913C4×D61—21no—
914C4×D61—21no—
915C4×D61—21no—
916C4×D61—22no—
917C4×D61—24no—
918C4×D61—42no—
919C4×D61—42no—
920C4×D61—42no—
921C4×D61—42no—
922C4×D61—42no—
923C4×D61—42no—
924C4×D61—42no—
925C4×D61—42no—
926C4×D61—42no—
927C4×D61—42no—
928C4×D61—81no—
929C4×D61—81no—
930C4×D61—81no—
931C4×D61C22×D412yes—
932C4×D61H(5,𝔽2)12yes—
933Dic122—21no—
934Dic122—24no—
935Dic122—22no—
936Dic122—21no—
937Dic122—21no—
938Dic122—21no—
939Dic122—21no—
940Dic122—42no—
941Dic122—42no—
942Dic122—42no—
943Dic122—42no—
944Dic122—42no—
945Dic122—42no—
946Dic122C22×D412yes—
947C8×C61—21no—
948C8×C61—21no—
949C8×C61—21no—
950C8×C61C22×D412yes—
951#92418—21no—
952#92418—21no—
953#92418—21no—
954#92418C22×D412yes—
955#61075—611nomaximal, Sylow
956C22×C61—21no—
957C22×C61—21no—
958C22×C61—21no—
959C22×C61—21no—
960C22×C61—21no—
961C22×C61—21no—
962C22×C61—41no—
963C22×C61—41no—
964C22×C61—41no—
965C22×C61—41no—
966C22×C61—41no—
967C22×C61—41no—
968C22×C61C23×D411yescharacteristic
969C2×D61—21no—
970C2×D61—21no—
971C2×D61—21no—
972C2×D61—21no—
973C2×D61—21no—
974C2×D61—21no—
975C2×D61—22no—
976C2×D61—21no—
977C2×D61—44no—
978C2×D61—41no—
979C2×D61—41no—
980C2×D61—41no—
981C2×D61—41no—
982C2×D61—41no—
983C2×D61—41no—
984C2×D61—41no—
985C2×D61—41no—
986C2×D61—84no—
987C2×D61—162no—
988C2×D61—162no—
989C2×D61—162no—
990C2×D61D4212yes—
991C2×D61#57712yescomplemented
992C4×C61—21no—
993C4×C61—22no—
994C4×C61—21no—
995C4×C61—21no—
996C4×C61—22no—
997C4×C61—21no—
998C4×C61—41no—
999C4×C61—41no—
1000C4×C61—41no—
1001C4×C61—41no—
1002C4×C61C23×D411yescharacteristic
1003C4×C61C2×H(5,𝔽2)11yescharacteristic
1004Dic61—21no—
1005Dic61—22no—
1006Dic61—21no—
1007Dic61—21no—
1008Dic61—21no—
1009Dic61—41no—
1010Dic61—41no—
1011Dic61—41no—
1012Dic61—41no—
1013Dic61D4212yes—
1014C2×#577—611no—
1015C22×#137—611no—
1016#3488—611no—
1017#3486—611no—
1018#3285—611no—
1019#3285—611no—
1020D4×SD16—611no—
1021D4×SD16—611no—
1022#3278—611no—
1023#3278D6111yescharacteristic, complemented
1024#3275—611no—
1025#3275—611no—
1026#3271—611no—
1027#3271—611no—
1028#3270—611no—
1029#3270—611no—
1030#3266—611no—
1031#3266—611no—
1032#3265—611no—
1033#3265—611no—
1034#3154—611no—
1035#3063—611no—
1036#3055—611no—
1037#3046—611no—
1038#3043—611no—
1039#3013—611no—
1040#3009—611no—
1041#3002—611no—
1042C2×#448—611no—
1043#2947—611no—
1044#2933—611no—
1045C2×C61—41no—
1046C2×C61—41no—
1047C2×C61—81no—
1048C2×C61—81no—
1049C2×C61C2×D4211yescharacteristic
1050C2×C61C2×#57711yescharacteristic
1051C2×C61#358611yescharacteristic
1052D61—22no—
1053D61—22no—
1054D61—41no—
1055D61—42no—
1056D61—81no—
1057D61—81no—
1058C2×2−1+4—611no—
1059C2×H(5,𝔽2)—611no—
1060C22×#41—611no—
1061C23×Q8—611no—
1062#577—1228no—
1063C2×#137—611no—
1064C2×#137—611no—
1065C2×#137—611no—
1066C2×#137—611no—
1067C2×#137—611no—
1068C2×#137—611no—
1069C2×#137—611no—
1070C2×#137—611no—
1071C2×#137—1228no—
1072C2×#137C2×D6111yescharacteristic, complemented
1073C2×#137C2×D6111yescharacteristic, complemented
1074C2×AGL(1,ℤ/8)—611no—
1075C2×AGL(1,ℤ/8)—611no—
1076C2×AGL(1,ℤ/8)—611no—
1077C2×#135—611no—
1078C2×#135—611no—
1079C2×#135—611no—
1080C2×#135—611no—
1081C22×Q16—611no—
1082C22×Q16—611no—
1083C22×SD16—611no—
1084C22×SD16—611no—
1085C22×SD16—611no—
1086C22×SD16—611no—
1087C22×SD16—611no—
1088C22×SD16—611no—
1089C2×#131—611no—
1090C22×M16—611no—
1091#550—611no—
1092#550C2×D6111yescharacteristic
1093D4×Q8—611no—
1094D4×Q8—611no—
1095D4×Q8—611no—
1096D4×Q8—1221no—
1097D4×Q8—1221no—
1098D4×Q8C2×D6111yescharacteristic, complemented
1099#548—611no—
1100#548—611no—
1101#548—611no—
1102#548—611no—
1103#548—611no—
1104#548—611no—
1105#548—1221no—
1106#548—1221no—
1107#546—611no—
1108#546—611no—
1109#546—1221no—
1110#546—1221no—
1111D42—611no—
1112D42—611no—
1113D42—1221no—
1114D42—1221no—
1115#537—611no—
1116#537—1221no—
1117#536—611no—
1118#536—611no—
1119#536—1221no—
1120#536—1221no—
1121#535—611no—
1122#535—1221no—
1123#525—611no—
1124#525—611no—
1125#525—1221no—
1126#525—1221no—
1127#525—1221no—
1128C2×#121—611no—
1129C2×#121—1221no—
1130#520—611no—
1131#519—611no—
1132#497—611no—
1133#497—611no—
1134#496—611no—
1135#496—611no—
1136#495—611no—
1137#495—611no—
1138#492—611no—
1139#492C2×D6111yescharacteristic, complemented
1140#470—611no—
1141#470—611no—
1142#469—611no—
1143#469—611no—
1144#468—611no—
1145#468—611no—
1146#468C2×D6111yescharacteristic, complemented
1147#468C2×D6111yescharacteristic, complemented
1148#467—611no—
1149#467—611no—
1150#466—611no—
1151#466—611no—
1152#465—611no—
1153#465—611no—
1154#465—611no—
1155#465—611no—
1156#464—611no—
1157#464—611no—
1158#464—611no—
1159#464—611no—
1160#464—611no—
1161#464—611no—
1162#463—611no—
1163#463—611no—
1164#462—611no—
1165#462C2×D6111yescharacteristic, complemented
1166#461—611no—
1167#461—611no—
1168#460—611no—
1169#460—611no—
1170#460—611no—
1171#460C2×D6111yescharacteristic, complemented
1172#452—611no—
1173#452—611no—
1174#452—611no—
1175#452—611no—
1176#452—611no—
1177#452—611no—
1178#452C2×D6111yescharacteristic, complemented
1179#452C2×D6111yescharacteristic, complemented
1180#451—611no—
1181#451—611no—
1182#451—611no—
1183#450—611no—
1184#450—611no—
1185#450—611no—
1186#450—611no—
1187#450—611no—
1188#449—611no—
1189#449—611no—
1190#449—611no—
1191#449—611no—
1192#448—611no—
1193#448—611no—
1194#448—611no—
1195#448—611no—
1196#448—611no—
1197#448—611no—
1198#448—611no—
1199#448—611no—
1200#448—611no—
1201#448C2×D6111yescharacteristic, complemented
1202#448C2×D6111yescharacteristic, complemented
1203#447—611no—
1204#441—611no—
1205#441—611no—
1206#440—611no—
1207#440—611no—
1208C4×Q16—611no—
1209C4×Q16C2×D6111yescharacteristic, complemented
1210C4×SD16—611no—
1211C4×SD16—611no—
1212#436—611no—
1213#436C2×D6111yescharacteristic, complemented
1214#435—611no—
1215#435—611no—
1216#435—611no—
1217#435—611no—
1218C8×D4—611no—
1219C8×D4—611no—
1220#428—611no—
1221#424—611no—
1222#418—611no—
1223#417—611no—
1224#416—611no—
1225#416—611no—
1226C2×#103—611no—
1227C2×#103—611no—
1228#408—611no—
1229C2×C22⋊C8—611no—
1230#405—611no—
1231C61#6107511yescharacteristic, complemented, Sylow
12322−1+4—1224no—
12332−1+4—2442no—
1234H(5,𝔽2)—1224no—
1235H(5,𝔽2)—2442no—
1236C2×#41—611no—
1237C2×#41—611no—
1238C2×#41—611no—
1239C2×#41—611no—
1240C2×#41—611no—
1241C2×#41—611no—
1242C2×#41—611no—
1243C2×#41—611no—
1244C2×#41—1221no—
1245C2×#41—1221no—
1246C2×#41—1221no—
1247C2×#41—1221no—
1248C2×#41—1221no—
1249C2×#41—1221no—
1250C2×#41—1224no—
1251C2×#41—2442no—
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—1221no—
1262C22×Q8—1221no—
1263C22×Q8—1221no—
1264C22×Q8—1221no—
1265C22×Q8—1224no—
1266C22×Q8—2442no—
1267C22×Q8C22×D6111yescharacteristic
1268C22×Q8C22×D6111yescharacteristic
1269C22×D4—611no—
1270C22×D4—611no—
1271C22×D4—611no—
1272C22×D4—611no—
1273C22×D4—1221no—
1274C22×D4—1221no—
1275C22×D4—1221no—
1276C22×D4—1221no—
1277C22×D4—1221no—
1278C22×D4—1221no—
1279C22×D4—1221no—
1280C23×C4—611no—
1281C23×C4—1221no—
1282C23×C4—1221no—
1283#137—24no—
1284#137—24no—
1285#137—618no—
1286#137—1224no—
1287#137—1224no—
1288#137—1224no—
1289#137—1224no—
1290#137—1224no—
1291#137—1224no—
1292#137—1224no—
1293AGL(1,ℤ/8)—1224no—
1294AGL(1,ℤ/8)—1224no—
1295AGL(1,ℤ/8)—1224no—
1296#135—1224no—
1297#135—1224no—
1298#135—1224no—
1299#135—2442no—
1300C2×Q16—611no—
1301C2×Q16—611no—
1302C2×Q16—611no—
1303C2×Q16—611no—
1304C2×Q16—611no—
1305C2×Q16—611no—
1306C2×Q16—611no—
1307C2×Q16—1224no—
1308C2×Q16—1224no—
1309C2×Q16C22×D6111yescharacteristic
1310C2×Q16C22×D6111yescharacteristic
1311C2×Q16C22×D6111yescharacteristic
1312C2×SD16—611no—
1313C2×SD16—611no—
1314C2×SD16—611no—
1315C2×SD16—611no—
1316C2×SD16—611no—
1317C2×SD16—611no—
1318C2×SD16—611no—
1319C2×SD16—611no—
1320C2×SD16—611no—
1321C2×SD16—611no—
1322C2×SD16—611no—
1323C2×SD16—611no—
1324C2×SD16—611no—
1325C2×SD16—611no—
1326C2×SD16—611no—
1327C2×SD16—611no—
1328C2×SD16—1224no—
1329C2×SD16—1224no—
1330C2×SD16—1224no—
1331C2×SD16—1224no—
1332C2×SD16—1224no—
1333C2×SD16—2442no—
1334C2×SD16C22×D6111yescharacteristic
1335C2×SD16C22×D6111yescharacteristic
1336C2×SD16C22×D6111yescharacteristic
1337C2×SD16C22×D6111yescharacteristic
1338C2×SD16C22×D6111yescharacteristic
1339C2×SD16C22×D6111yescharacteristic
1340C2×D8—611no—
1341C2×D8—611no—
1342C2×D8—611no—
1343C2×D8—611no—
1344#131—1224no—
1345C2×M16—611no—
1346C2×M16—611no—
1347C2×M16—611no—
1348C2×M16—611no—
1349C2×M16—1224no—
1350C2×M16C22×D6111yescharacteristic
1351C2×M16C22×D6111yescharacteristic
1352C22×C8—611no—
1353C22×C8—611no—
1354C22×C8—611no—
1355C22×C8—611no—
1356C22×C8—611no—
1357C22×C8—611no—
1358C4⋊Q8—21no—
1359C4⋊Q8—611no—
1360C4⋊Q8—1221no—
1361C4⋊Q8—1221no—
1362C4⋊Q8—1221no—
1363C4⋊Q8—1221no—
1364C4⋊Q8C22×D6111yescharacteristic
1365#127—21no—
1366#127—611no—
1367#127—1221no—
1368#127C22×D6111yescharacteristic
1369#124—611no—
1370#124—611no—
1371#124—611no—
1372#124—611no—
1373#124—1221no—
1374#124—1221no—
1375#124—1221no—
1376#124—1221no—
1377#124—1221no—
1378#124—1221no—
1379#124—1221no—
1380#123—611no—
1381#123—611no—
1382#123—1221no—
1383#123—1221no—
1384#123—1221no—
1385#123—1221no—
1386#123—1221no—
1387#123—1221no—
1388#123—1221no—
1389C22⋊Q8—21no—
1390C22⋊Q8—21no—
1391C22⋊Q8—611no—
1392C22⋊Q8—611no—
1393C22⋊Q8—611no—
1394C22⋊Q8—611no—
1395C22⋊Q8—611no—
1396C22⋊Q8—611no—
1397C22⋊Q8—611no—
1398C22⋊Q8—611no—
1399C22⋊Q8—1221no—
1400C22⋊Q8—1221no—
1401C22⋊Q8—1221no—
1402C22⋊Q8—1221no—
1403C22⋊Q8—1221no—
1404C22⋊Q8—1221no—
1405C22⋊Q8—1221no—
1406C22⋊Q8—1221no—
1407C22⋊Q8—1221no—
1408C22⋊Q8—1221no—
1409C22⋊Q8—1221no—
1410C22⋊Q8—1221no—
1411C22⋊Q8—1221no—
1412C22⋊Q8—1221no—
1413C22⋊Q8—1221no—
1414C22⋊Q8C22×D6111yescharacteristic
1415C22⋊Q8C22×D6111yescharacteristic
1416#121—21no—
1417#121—21no—
1418#121—611no—
1419#121—611no—
1420#121—611no—
1421#121—611no—
1422#121—611no—
1423#121—611no—
1424#121—611no—
1425#121—611no—
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#121—1221no—
1438#121—1221no—
1439#121—1221no—
1440#121—1221no—
1441#121—1221no—
1442#121—1221no—
1443#121—1221no—
1444#121—1221no—
1445#121C22×D6111yescharacteristic
1446#121C22×D6111yescharacteristic
1447#120—611no—
1448#120—611no—
1449#120—1221no—
1450#120—1221no—
1451#120—1221no—
1452#120—1221no—
1453#120—1221no—
1454#120—1221no—
1455#120—1221no—
1456#120—1221no—
1457#120—1221no—
1458C4×Q8—611no—
1459C4×Q8—611no—
1460C4×Q8—611no—
1461C4×Q8—611no—
1462C4×Q8—1221no—
1463C4×Q8—1221no—
1464C4×Q8C22×D6111yescharacteristic
1465C4×Q8C22×D6111yescharacteristic
1466C4×D4—21no—
1467C4×D4—21no—
1468C4×D4—611no—
1469C4×D4—611no—
1470C4×D4—611no—
1471C4×D4—611no—
1472C4×D4—611no—
1473C4×D4—1221no—
1474C4×D4—1221no—
1475C4×D4—1221no—
1476C4×D4—1221no—
1477C4×D4—1221no—
1478C4×D4—1221no—
1479C4×D4—1221no—
1480C4×D4—1221no—
1481C4×D4—1221no—
1482C4×D4—1221no—
1483C4×D4—1221no—
1484C4×D4—1221no—
1485C4×D4—1221no—
1486C4×D4—1221no—
1487C4×D4C22×D6111yescharacteristic
1488#117—611no—
1489#117—611no—
1490#117—1221no—
1491#117—1221no—
1492#117—1221no—
1493C2×C4⋊C4—611no—
1494C2×C4⋊C4—1221no—
1495C2×C22⋊C4—1221no—
1496C2×C22⋊C4—1221no—
1497C2×C22⋊C4—1221no—
1498#107—611no—
1499#107C22×D6111yescharacteristic
1500#106—611no—
1501#106—611no—
1502C4⋊C8—611no—
1503C4⋊C8—611no—
1504C4⋊C8—611no—
1505C4⋊C8C22×D6111yescharacteristic
1506#103—611no—
1507#103—611no—
1508#103—611no—
1509#103—611no—
1510#103—611no—
1511#103—611no—
1512#103—611no—
1513#103—611no—
1514#103—611no—
1515#103—611no—
1516#103C22×D6111yescharacteristic
1517#103C22×D6111yescharacteristic
1518#103C22×D6111yescharacteristic
1519#103C22×D6111yescharacteristic
1520#102—611no—
1521#102—611no—
1522#102—611no—
1523#102—611no—
1524#102—611no—
1525#102—611no—
1526#102—611no—
1527#102—611no—
1528#102C22×D6111yescharacteristic
1529#102C22×D6111yescharacteristic
1530C22⋊C8—611no—
1531C22⋊C8—611no—
1532C22⋊C8—611no—
1533C22⋊C8—611no—
1534C22⋊C8—611no—
1535C22⋊C8—611no—
1536C22⋊C8C22×D6111yescharacteristic
1537C22⋊C8C22×D6111yescharacteristic
1538#97—611no—
1539#97—611no—
1540C4×C8—611no—
1541C4×C8C22×D6111yescharacteristic
1542C24—611no—
1543C24—1221no—
1544C24—1221no—
1545C24—1221no—
1546C24—1221no—
1547#41—22no—
1548#41—22no—
1549#41—41no—
1550#41—41no—
1551#41—614no—
1552#41—1222no—
1553#41—1222no—
1554#41—1222no—
1555#41—1222no—
1556#41—1222no—
1557#41—1222no—
1558#41—1222no—
1559#41—1222no—
1560#41—1222no—
1561#41—1222no—
1562#41—1222no—
1563#41—2441no—
1564#41—2441no—
1565#41—2444no—
1566#41—2444no—
1567#41—2444no—
1568#41—2444no—
1569#41—2444no—
1570#41—2441no—
1571#41—2441no—
1572#41—2444no—
1573C2×Q8—21no—
1574C2×Q8—21no—
1575C2×Q8—22no—
1576C2×Q8—22no—
1577C2×Q8—41no—
1578C2×Q8—41no—
1579C2×Q8—611no—
1580C2×Q8—614no—
1581C2×Q8—611no—
1582C2×Q8—611no—
1583C2×Q8—611no—
1584C2×Q8—1221no—
1585C2×Q8—1221no—
1586C2×Q8—1221no—
1587C2×Q8—1221no—
1588C2×Q8—1221no—
1589C2×Q8—1221no—
1590C2×Q8—1222no—
1591C2×Q8—1222no—
1592C2×Q8—1222no—
1593C2×Q8—1222no—
1594C2×Q8—1221no—
1595C2×Q8—1222no—
1596C2×Q8—1222no—
1597C2×Q8—1222no—
1598C2×Q8—1222no—
1599C2×Q8—2441no—
1600C2×Q8—2444no—
1601C2×Q8—2444no—
1602C2×Q8—2441no—
1603C2×Q8—2441no—
1604C2×Q8—2441no—
1605C2×Q8—2441no—
1606C2×Q8—2444no—
1607C2×Q8—2444no—
1608C2×Q8C23×D6111yescharacteristic
1609C2×Q8C23×D6111yescharacteristic
1610C2×Q8C23×D6111yescharacteristic
1611C2×Q8C23×D6111yescharacteristic
1612C2×D4—21no—
1613C2×D4—21no—
1614C2×D4—21no—
1615C2×D4—21no—
1616C2×D4—21no—
1617C2×D4—21no—
1618C2×D4—611no—
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—1222no—
1628C2×D4—1221no—
1629C2×D4—1221no—
1630C2×D4—1221no—
1631C2×D4—1221no—
1632C2×D4—1221no—
1633C2×D4—1221no—
1634C2×D4—1222no—
1635C2×D4—1222no—
1636C2×D4—1221no—
1637C2×D4—1221no—
1638C2×D4—1221no—
1639C2×D4—1221no—
1640C2×D4—1221no—
1641C2×D4—1222no—
1642C2×D4—1222no—
1643C2×D4—1221no—
1644C2×D4—1221no—
1645C2×D4—1221no—
1646C2×D4—1221no—
1647C2×D4—1221no—
1648C2×D4—1221no—
1649C2×D4—1221no—
1650C2×D4—1221no—
1651C2×D4—4882no—
1652C2×D4—4882no—
1653C2×D4—4882no—
1654C2×D4—2441no—
1655C2×D4—2444no—
1656C2×D4—2441no—
1657C2×D4—2441no—
1658C2×D4—2444no—
1659C2×D4—2444no—
1660C2×D4—2444no—
1661C2×D4D4×D6111yescharacteristic
1662C2×D4C23×D6111yescharacteristic
1663C2×D4C23×D6111yescharacteristic
1664C22×C4—21no—
1665C22×C4—21no—
1666C22×C4—21no—
1667C22×C4—21no—
1668C22×C4—611no—
1669C22×C4—611no—
1670C22×C4—611no—
1671C22×C4—611no—
1672C22×C4—611no—
1673C22×C4—611no—
1674C22×C4—1221no—
1675C22×C4—1222no—
1676C22×C4—1222no—
1677C22×C4—1221no—
1678C22×C4—1221no—
1679C22×C4—1221no—
1680C22×C4—1221no—
1681C22×C4—1221no—
1682C22×C4—1221no—
1683C22×C4—1221no—
1684C22×C4—1221no—
1685C22×C4—1221no—
1686C22×C4—1221no—
1687C22×C4—1221no—
1688C22×C4—1221no—
1689C22×C4—1221no—
1690C22×C4—1221no—
1691C22×C4—1221no—
1692C22×C4—1221no—
1693C22×C4—2444no—
1694C22×C4—2444no—
1695C22×C4C23×D6111yescharacteristic
1696C22×C4C23×D6111yescharacteristic
1697Q16—22no—
1698Q16—22no—
1699Q16—614no—
1700Q16—1222no—
1701Q16—1222no—
1702Q16—1222no—
1703Q16—1222no—
1704Q16—1222no—
1705Q16—2441no—
1706Q16D4×D6114yescomplemented
1707SD16—22no—
1708SD16—22no—
1709SD16—22no—
1710SD16—22no—
1711SD16—41no—
1712SD16—41no—
1713SD16—614no—
1714SD16—614no—
1715SD16—1222no—
1716SD16—1222no—
1717SD16—1222no—
1718SD16—1222no—
1719SD16—1222no—
1720SD16—1222no—
1721SD16—1222no—
1722SD16—1222no—
1723SD16—1222no—
1724SD16—1222no—
1725SD16—2441no—
1726SD16—2441no—
1727SD16—2441no—
1728SD16—2441no—
1729D8—1222no—
1730D8—1222no—
1731D8—1222no—
1732D8—2441no—
1733M16—22no—
1734M16—22no—
1735M16—614no—
1736M16—1222no—
1737M16—1222no—
1738M16—1222no—
1739C2×C8—611no—
1740C2×C8—611no—
1741C2×C8—611no—
1742C2×C8—611no—
1743C2×C8—1222no—
1744C2×C8—1222no—
1745C2×C8—1222no—
1746C2×C8—1222no—
1747C2×C8—1222no—
1748C2×C8—1222no—
1749C2×C8C23×D6111yescharacteristic
1750C2×C8C23×D6111yescharacteristic
1751C2×C8C23×D6111yescharacteristic
1752C2×C8C23×D6111yescharacteristic
1753C4⋊C4—21no—
1754C4⋊C4—21no—
1755C4⋊C4—21no—
1756C4⋊C4—21no—
1757C4⋊C4—21no—
1758C4⋊C4—21no—
1759C4⋊C4—611no—
1760C4⋊C4—611no—
1761C4⋊C4—611no—
1762C4⋊C4—611no—
1763C4⋊C4—611no—
1764C4⋊C4—611no—
1765C4⋊C4—611no—
1766C4⋊C4—1221no—
1767C4⋊C4—1221no—
1768C4⋊C4—1221no—
1769C4⋊C4—1221no—
1770C4⋊C4—1221no—
1771C4⋊C4—1221no—
1772C4⋊C4—1221no—
1773C4⋊C4—1221no—
1774C4⋊C4—1221no—
1775C4⋊C4—1221no—
1776C4⋊C4—1221no—
1777C4⋊C4—1221no—
1778C4⋊C4—1221no—
1779C4⋊C4D4×D6111yescharacteristic
1780C4⋊C4C23×D6111yescharacteristic
1781C4⋊C4C23×D6111yescharacteristic
1782C22⋊C4—21no—
1783C22⋊C4—21no—
1784C22⋊C4—21no—
1785C22⋊C4—21no—
1786C22⋊C4—611no—
1787C22⋊C4—611no—
1788C22⋊C4—611no—
1789C22⋊C4—611no—
1790C22⋊C4—611no—
1791C22⋊C4—611no—
1792C22⋊C4—611no—
1793C22⋊C4—611no—
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⋊C4—1221no—
1804C22⋊C4—1221no—
1805C22⋊C4—1221no—
1806C22⋊C4—1221no—
1807C22⋊C4—1221no—
1808C22⋊C4—1221no—
1809C22⋊C4—1221no—
1810C22⋊C4—1221no—
1811C22⋊C4—1221no—
1812C22⋊C4—1221no—
1813C22⋊C4—1221no—
1814C22⋊C4—1221no—
1815C22⋊C4—1221no—
1816C22⋊C4—1221no—
1817C22⋊C4D4×D6111yescharacteristic
1818C22⋊C4D4×D6111yescharacteristic
1819C42—21no—
1820C42—21no—
1821C42—611no—
1822C42—1221no—
1823C42—1221no—
1824C42—1221no—
1825C42—1221no—
1826C42—1221no—
1827C42C23×D6111yescharacteristic
1828C23—21no—
1829C23—21no—
1830C23—611no—
1831C23—611no—
1832C23—611no—
1833C23—1222no—
1834C23—1222no—
1835C23—1221no—
1836C23—1221no—
1837C23—1221no—
1838C23—4881no—
1839C23—4881no—
1840C23—4881no—
1841C23—4881no—
1842C23—4881no—
1843C23—4881no—
1844C23—4881no—
1845C23—2441no—
1846C23—2442no—
1847C23—2442no—
1848C23—2442no—
1849C23—2442no—
1850C23—2442no—
1851C23C2×D4×D6111yescharacteristic
1852C23C2×D4×D6111yescharacteristic
1853Q8—21no—
1854Q8—21no—
1855Q8—21no—
1856Q8—21no—
1857Q8—21no—
1858Q8—21no—
1859Q8—42no—
1860Q8—42no—
1861Q8—612no—
1862Q8—1224no—
1863Q8—1222no—
1864Q8—1221no—
1865Q8—1221no—
1866Q8—1221no—
1867Q8—1221no—
1868Q8—1221no—
1869Q8—2442no—
1870Q8—2442no—
1871Q8—2442no—
1872Q8—2442no—
1873Q8—2442no—
1874Q8—2442no—
1875Q8C2×D4×D6112yes—
1876Q8C2×D4×D6112yes—
1877D4—21no—
1878D4—21no—
1879D4—21no—
1880D4—21no—
1881D4—41no—
1882D4—42no—
1883D4—42no—
1884D4—81no—
1885D4—81no—
1886D4—81no—
1887D4—81no—
1888D4—612no—
1889D4—1222no—
1890D4—1222no—
1891D4—1224no—
1892D4—1222no—
1893D4—1222no—
1894D4—1222no—
1895D4—1221no—
1896D4—1221no—
1897D4—1221no—
1898D4—1221no—
1899D4—1221no—
1900D4—4881no—
1901D4—4881no—
1902D4—4881no—
1903D4—4881no—
1904D4—2442no—
1905D4—2442no—
1906D4—2442no—
1907D4—2442no—
1908D4—2442no—
1909D4—2442no—
1910D4—2442no—
1911D4—2441no—
1912D4—2442no—
1913D4—2442no—
1914D4—2442no—
1915D4—2442no—
1916D4—2442no—
1917D4—2442no—
1918D4—2442no—
1919C2×C4—21no—
1920C2×C4—21no—
1921C2×C4—21no—
1922C2×C4—21no—
1923C2×C4—21no—
1924C2×C4—21no—
1925C2×C4—21no—
1926C2×C4—21no—
1927C2×C4—21no—
1928C2×C4—21no—
1929C2×C4—42no—
1930C2×C4—42no—
1931C2×C4—42no—
1932C2×C4—42no—
1933C2×C4—611no—
1934C2×C4—612no—
1935C2×C4—612no—
1936C2×C4—611no—
1937C2×C4—611no—
1938C2×C4—611no—
1939C2×C4—611no—
1940C2×C4—1222no—
1941C2×C4—1224no—
1942C2×C4—1222no—
1943C2×C4—1224no—
1944C2×C4—1222no—
1945C2×C4—1221no—
1946C2×C4—1221no—
1947C2×C4—1221no—
1948C2×C4—1221no—
1949C2×C4—1221no—
1950C2×C4—1221no—
1951C2×C4—1221no—
1952C2×C4—1221no—
1953C2×C4—1221no—
1954C2×C4—4881no—
1955C2×C4—4881no—
1956C2×C4—4881no—
1957C2×C4—2442no—
1958C2×C4—2442no—
1959C2×C4—2442no—
1960C2×C4—2442no—
1961C2×C4—2442no—
1962C2×C4—2442no—
1963C2×C4—2442no—
1964C2×C4—2442no—
1965C2×C4—2442no—
1966C2×C4—2442no—
1967C2×C4—2442no—
1968C2×C4—2442no—
1969C2×C4C2×D4×D6111yescharacteristic
1970C2×C4C2×D4×D6111yescharacteristic
1971C2×C4C2×D4×D6111yescharacteristic
1972C2×C4C2×D4×D6111yescharacteristic
1973C2×C4C24×D6111yescharacteristic
1974C8—21no—
1975C8—21no—
1976C8—21no—
1977C8—612no—
1978C8—1221no—
1979C8—1221no—
1980C8—1221no—
1981C8C2×D4×D6112yes—
1982C22—21no—
1983C22—21no—
1984C22—21no—
1985C22—21no—
1986C22—21no—
1987C22—21no—
1988C22—41no—
1989C22—41no—
1990C22—41no—
1991C22—41no—
1992C22—41no—
1993C22—41no—
1994C22—612no—
1995C22—612no—
1996C22—1221no—
1997C22—1221no—
1998C22—1221no—
1999C22—1221no—
2000C22—1221no—
2001C22—1222no—
2002C22—1221no—
2003C22—1221no—
2004C22—9762no—
2005C22—9762no—
2006C22—9762no—
2007C22—4884no—
2008C22—2444no—
2009C22—2441no—
2010C22—2441no—
2011C22—2441no—
2012C22—2441no—
2013C22—2441no—
2014C22—2441no—
2015C22—2441no—
2016C22—2441no—
2017C22C22×D4×D6111yescharacteristic
2018C4—21no—
2019C4—21no—
2020C4—22no—
2021C4—22no—
2022C4—21no—
2023C4—21no—
2024C4—41no—
2025C4—41no—
2026C4—41no—
2027C4—41no—
2028C4—612no—
2029C4—1221no—
2030C4—1221no—
2031C4—1222no—
2032C4—1221no—
2033C4—1221no—
2034C4—2441no—
2035C4—2441no—
2036C4—2441no—
2037C4—2441no—
2038C4C22×D4×D6111yescharacteristic
2039C4H(5,𝔽2)×D6111yescharacteristic
2040C2—41no—
2041C2—41no—
2042C2—81no—
2043C2—81no—
2044C2—1222no—
2045C2—1222no—
2046C2—4881no—
2047C2—4881no—
2048C2—2441no—
2049C2—2442no—
2050C2D42×D6111yescharacteristic
2051C2#577×D6111yescharacteristic
2052C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3278C2
socleC22×C61C23×D4
hypercenter#3278D61
hypocenterC61#61075
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3278

Complements

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

NH ≅ G/Ntype
1. C2×#16840571C2semidirect
2. C2×#137×D61C2semidirect
3. #21459487C2semidirect
4. #21459469C2semidirect
5. #21457561C2semidirect
6. #21457558C2semidirect
7. #21457514C2semidirect
8. #21457508C2semidirect
9. #21457478C2semidirect
10. #21457455C2semidirect
11. #21457453C2semidirect
12. #21457400C2semidirect
13. #21457398C2semidirect
14. #21457395C2semidirect
15. #21457383C2semidirect
16. #21457336C2semidirect
17. #21457330C2semidirect
18. #21457321C2semidirect
19. #21457309C2semidirect
20. #21456288C2semidirect
21. #21455505C2semidirect
22. #21455433C2semidirect
23. #21455366C2semidirect
24. #21455335C2semidirect
25. #21455129C2semidirect
26. #21455093C2semidirect
27. #21455040C2semidirect
28. #448×D61C2semidirect
29. #21454657C2semidirect
30. #21454548C2semidirect
31. C61×#3278C2semidirect
32. C2×#14519825C22semidirect
35. C22×Q8×D61C22semidirect
37. C2×#14519810C22semidirect
40. C2×#14519809C22semidirect
41. C2×#14519808C22semidirect
42. C2×#14519807C22semidirect
43. C2×#14519806C22semidirect
44. C2×#14519806C22semidirect
46. C2×#14519805C22semidirect
47. C2×#14519804C22semidirect
48. C2×#14519804C22semidirect
50. C2×#14519800C22semidirect
51. C2×#14519798C22semidirect
52. C2×#14519797C22semidirect
53. C2×Q16×D61C22semidirect
54. C2×Q16×D61C22semidirect
55. C22×#11758201C22semidirect
56. C2×SD16×D61C22semidirect
57. C2×SD16×D61C22semidirect
58. C2×SD16×D61C22semidirect
59. C2×SD16×D61C22semidirect
60. C2×SD16×D61C22semidirect
61. C2×#14519785C22semidirect
62. C2×M16×D61C22semidirect
65. #16840427C22semidirect
66. Q8×C22⋊D61C22semidirect
68. #16840425C22semidirect
70. #16840424C22semidirect
71. #16840423C22semidirect
73. #16840422C22semidirect
75. #16840421C22semidirect
88. #16840337C22semidirect
90. #16840335C22semidirect
94. #16840275C22semidirect
101. #16840238C22semidirect
102. #16840154C22semidirect
103. #16840153C22semidirect
104. #16840149C22semidirect
105. #16840148C22semidirect
106. #16840146C22semidirect
107. #16840143C22semidirect
108. #16840133C22semidirect
109. #16840020C22semidirect
110. #16840019C22semidirect
111. #16840015C22semidirect
112. #16840013C22semidirect
113. #16840010C22semidirect
114. #16840007C22semidirect
115. #16840004C22semidirect
116. #16840001C22semidirect
117. #16839999C22semidirect
118. #16839997C22semidirect
119. #16839994C22semidirect
120. #16839989C22semidirect
121. #16839988C22semidirect
122. #16839988C22semidirect
123. #16839986C22semidirect
124. #16839985C22semidirect
125. #16839984C22semidirect
126. #16839984C22semidirect
127. #16839983C22semidirect
128. #16839982C22semidirect
129. #16839980C22semidirect
130. #16839978C22semidirect
131. #16839970C22semidirect
132. #16839966C22semidirect
133. #16839964C22semidirect
134. #16839961C22semidirect
135. #16839960C22semidirect
136. #16839959C22semidirect
137. #16839927C22semidirect
138. #16839927C22semidirect
139. #16839926C22semidirect
140. #16839924C22semidirect
141. #16839923C22semidirect
142. #16839922C22semidirect
143. #16839919C22semidirect
144. #16839918C22semidirect
145. #16839916C22semidirect
146. #16839915C22semidirect
147. #16839914C22semidirect
148. #16839912C22semidirect
149. #16839911C22semidirect
150. #16839911C22semidirect
151. #16839909C22semidirect
152. #16839907C22semidirect
153. #16839906C22semidirect
154. #16839905C22semidirect
155. #16839903C22semidirect
156. #16839902C22semidirect
157. #16839902C22semidirect
158. #16839902C22semidirect
159. #16839901C22semidirect
160. #16839900C22semidirect
161. #16839899C22semidirect
162. #16839899C22semidirect
163. #16839899C22semidirect
164. #16839897C22semidirect
165. #16839869C22semidirect
166. #16839867C22semidirect
167. #16839861C22semidirect
168. #16839860C22semidirect
169. #16839854C22semidirect
170. C4×#11758190C22semidirect
171. #16839847C22semidirect
172. #16839837C22semidirect
173. #16839834C22semidirect
174. #16839832C22semidirect
175. #16839831C22semidirect
176. #16839831C22semidirect
177. C8×D244C22semidirect
178. #16839825C22semidirect
179. #16839803C22semidirect
180. #16839787C22semidirect
181. #16839765C22semidirect
182. #16839762C22semidirect
184. #16839755C22semidirect
185. #103×D61C22semidirect
186. #103×D61C22semidirect
187. #16839727C22semidirect
188. C22⋊C8×D61C22semidirect
189. #16839716C22semidirect
190. C2×#137×C61C22semidirect
191. C2×#137×C61C22semidirect
193. D4×Q8×C61C22semidirect
194. C61×#492C22semidirect
195. C61×#468C22semidirect
196. C61×#468C22semidirect
197. C61×#462C22semidirect
198. C61×#460C22semidirect
199. C61×#452C22semidirect
200. C61×#452C22semidirect
201. C61×#448C22semidirect
202. C61×#448C22semidirect
203. C4×Q16×C61C22semidirect
204. C61×#436C22semidirect
255. #14519809D4semidirect
591. Q8×D61C2×D4semidirect
672. Q16×C61C2×D4semidirect
715. #11758202C2×D4semidirect
722. #11758201C2×D4semidirect
792. #11758190C2×D4semidirect
795. #11758189C2×D4semidirect
991. C2×D61#577semidirect
1023. #3278D61semidirect
1072. C2×#137C2×D61semidirect
1073. C2×#137C2×D61semidirect
1098. D4×Q8C2×D61semidirect
1139. #492C2×D61semidirect
1146. #468C2×D61semidirect
1147. #468C2×D61semidirect
1165. #462C2×D61semidirect
1171. #460C2×D61semidirect
1178. #452C2×D61semidirect
1179. #452C2×D61semidirect
1201. #448C2×D61semidirect
1202. #448C2×D61semidirect
1209. C4×Q16C2×D61semidirect
1213. #436C2×D61semidirect
1231. C61#61075semidirect
1706. Q16D4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168405712
C2×#137×D612
#214594872
#214594692
#214575612
#214575582
#214575142
#214575082
#214574782
#214574552
#214574532
#214574002
#214573982
#214573952
#214573832
#214573362
#214573302
#214573212
#214573092
#214562882
#214555052
#214554332
#214553662
#214553352
#214551292
#214550932
#214550402
#448×D612
#214546572
#214545482
C61×#32782
#6107561