Finite Group Databasebeta

← #30551528

Subgroups — #30551528

Order 15616.

2222 conjugacy classes of subgroups.

The subgroup lattice has 1938 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459206C211yesmaximal, characteristic, complemented
2#535×D61C211yesmaximal, characteristic, complemented
3#21456916C211yesmaximal, characteristic, complemented
4#21456915C211yesmaximal, characteristic, complemented
5#21456914C211yesmaximal, characteristic, complemented
6#21456913C211yesmaximal, characteristic, complemented
7#21456908C211yesmaximal, characteristic, complemented
8#21456907C211yesmaximal, characteristic, complemented
9#21456906C211yesmaximal, characteristic, complemented
10#21456890C211yesmaximal, characteristic, complemented
11#21456889C211yesmaximal, characteristic, complemented
12#21456888C211yesmaximal, characteristic, complemented
13#21456887C211yesmaximal, characteristic, complemented
14#21456868C211yesmaximal, characteristic, complemented
15#21456867C211yesmaximal, characteristic, complemented
16#21456866C211yesmaximal, characteristic, complemented
17#21456865C211yesmaximal, characteristic, complemented
18#21456280C211yesmaximal, characteristic, complemented
19#21456268C211yesmaximal, characteristic, complemented
20#21456204C211yesmaximal, characteristic, complemented
21#21456190C211yesmaximal, characteristic, complemented
22#21455310C211yesmaximal, characteristic, complemented
23#21455308C211yesmaximal, characteristic, complemented
24#21455296C211yesmaximal, characteristic, complemented
25#21455294C211yesmaximal, characteristic, complemented
26#21455062C211yesmaximal, characteristic, complemented
27#21455057C211yesmaximal, characteristic, complemented
28#21455047C211yesmaximal, characteristic, complemented
29#21455043C211yesmaximal, characteristic, complemented
30#21454453C211yesmaximal, characteristic, complemented
31C61×#3224C211yesmaximal, characteristic, complemented
32C2×#41×D61C2211yescharacteristic
33C22×D4×D61C2211yescharacteristic
34C2×#14519809C2211yescharacteristic, complemented
35C2×#14519806C2211yescharacteristic, complemented
36C2×#14519804C2211yescharacteristic
37C2×#14519804C2211yescharacteristic
38C2×#14519804C2211yescharacteristic, complemented
39C2×#14519801C2211yescharacteristic
40C2×#14519801C2211yescharacteristic
41C2×#14519801C2211yescharacteristic, complemented
42#16840386C2211yescharacteristic, complemented
43#16840383C2211yescharacteristic, complemented
44#16840381C2211yescharacteristic, complemented
45#16840372C2211yescharacteristic, complemented
46#16840370C2211yescharacteristic, complemented
47#16840365C2211yescharacteristic, complemented
48#16840363C2211yescharacteristic, complemented
49#16840358—21no—
50#16840353—21no—
51#16840348—21no—
52#16840346—21no—
53#16840331C2211yescharacteristic
54#16840330C2211yescharacteristic
55#16840330C2211yescharacteristic
56#16840329C2211yescharacteristic
57#16840328—21no—
58#16840328—21no—
59#16840327—21no—
60#16840327—21no—
61#16840326C2211yescharacteristic
62#16840325C2211yescharacteristic
63#16840325C2211yescharacteristic
64#16840317C2211yescharacteristic, complemented
65#16840311C2211yescharacteristic, complemented
66#127×D61C2211yescharacteristic
67#127×D61C2211yescharacteristic
68#16840298—21no—
69#16840295—21no—
70#16840291—21no—
71#16840289—21no—
72#124×D61C2211yescharacteristic
73#124×D61C2211yescharacteristic
74#16840275C2211yescharacteristic
75#16840272C2211yescharacteristic
76#121×D61—21no—
77#121×D61—21no—
78#120×D61—21no—
79#120×D61—21no—
80C4×#11758226C2211yescharacteristic, complemented
81C4×#11758224C2211yescharacteristic, complemented
82#117×D61C2211yescharacteristic
83#16840155C2211yescharacteristic, complemented
84#16840153C2211yescharacteristic, complemented
85#16840152C2211yescharacteristic, complemented
86#16840151C2211yescharacteristic, complemented
87#16840150C2211yescharacteristic, complemented
88#16840149C2211yescharacteristic, complemented
89#16840148C2211yescharacteristic, complemented
90#16840146C2211yescharacteristic, complemented
91#16840144C2211yescharacteristic, complemented
92#16840144C2211yescharacteristic, complemented
93#16840137C2211yescharacteristic, complemented
94#16840137C2211yescharacteristic, complemented
95#16840133C2211yescharacteristic, complemented
96#16840133C2211yescharacteristic, complemented
97#16840125C2211yescharacteristic, complemented
98#16840125C2211yescharacteristic, complemented
99#16840125C2211yescharacteristic, complemented
100#16840125C2211yescharacteristic, complemented
101#16840124C2211yescharacteristic, complemented
102#16840122C2211yescharacteristic, complemented
103#16840121C2211yescharacteristic, complemented
104#16840118C2211yescharacteristic, complemented
105#16840118C2211yescharacteristic, complemented
106#16840115C2211yescharacteristic, complemented
107#16840115C2211yescharacteristic, complemented
108#16840110C2211yescharacteristic, complemented
109#16840109C2211yescharacteristic, complemented
110#16840108C2211yescharacteristic, complemented
111#16839987C2211yescharacteristic, complemented
112#16839986C2211yescharacteristic, complemented
113#16839985C2211yescharacteristic, complemented
114#16839984C2211yescharacteristic, complemented
115#16839983C2211yescharacteristic, complemented
116#16839982C2211yescharacteristic, complemented
117#16839981C2211yescharacteristic, complemented
118#16839980C2211yescharacteristic, complemented
119#16839979C2211yescharacteristic, complemented
120#16839978C2211yescharacteristic, complemented
121#16839977C2211yescharacteristic, complemented
122#16839976C2211yescharacteristic, complemented
123#16839975C2211yescharacteristic, complemented
124#16839974C2211yescharacteristic, complemented
125#16839963C2211yescharacteristic, complemented
126#16839962C2211yescharacteristic, complemented
127#16839961C2211yescharacteristic, complemented
128#16839961C2211yescharacteristic, complemented
129#16839960C2211yescharacteristic, complemented
130#16839960C2211yescharacteristic, complemented
131#16839959C2211yescharacteristic, complemented
132#16839958C2211yescharacteristic, complemented
133#16839957C2211yescharacteristic, complemented
134#16839956C2211yescharacteristic, complemented
135#16839956C2211yescharacteristic, complemented
136#16839955C2211yescharacteristic, complemented
137#16839955C2211yescharacteristic, complemented
138#16839954C2211yescharacteristic, complemented
139#16839927C2211yescharacteristic, complemented
140#16839926C2211yescharacteristic, complemented
141#16839925C2211yescharacteristic, complemented
142#16839924C2211yescharacteristic, complemented
143#16839923C2211yescharacteristic, complemented
144#16839922C2211yescharacteristic, complemented
145#16839921C2211yescharacteristic, complemented
146#16839915C2211yescharacteristic, complemented
147#16839914C2211yescharacteristic, complemented
148#16839914C2211yescharacteristic, complemented
149#16839913C2211yescharacteristic, complemented
150#16839912C2211yescharacteristic, complemented
151#16839911C2211yescharacteristic, complemented
152#16839911C2211yescharacteristic, complemented
153#16839910C2211yescharacteristic, complemented
154#16839909C2211yescharacteristic, complemented
155#16839908C2211yescharacteristic, complemented
156#16839907C2211yescharacteristic, complemented
157#16839906C2211yescharacteristic, complemented
158#16839905C2211yescharacteristic, complemented
159#16839904C2211yescharacteristic, complemented
160#16839898C2211yescharacteristic, complemented
161#16839897C2211yescharacteristic, complemented
162#16839897C2211yescharacteristic, complemented
163#16839896C2211yescharacteristic, complemented
164#16839895C2211yescharacteristic, complemented
165#16839894C2211yescharacteristic, complemented
166#16839894C2211yescharacteristic, complemented
167#16839824C2211yescharacteristic, complemented
168#16839823C2211yescharacteristic, complemented
169#16839822C2211yescharacteristic, complemented
170#16839822C2211yescharacteristic, complemented
171#16839821C2211yescharacteristic, complemented
172#16839820C2211yescharacteristic, complemented
173#16839820C2211yescharacteristic, complemented
174#16839784C2211yescharacteristic, complemented
175#16839784C2211yescharacteristic, complemented
176#16839769C2211yescharacteristic, complemented
177#16839769C2211yescharacteristic, complemented
178#16839765C2211yescharacteristic
179#16839765C2211yescharacteristic
180#16839765C2211yescharacteristic
181#16839765C2211yescharacteristic
182#16839765C2211yescharacteristic, complemented
183#16839765C2211yescharacteristic, complemented
184#16839724C2211yescharacteristic
185#16839724C2211yescharacteristic
186#16839714C2211yescharacteristic, complemented
187C4×#11758189C2211yescharacteristic, complemented
188C61×#542C2211yescharacteristic, complemented
189C61×#535C2211yescharacteristic
190C61×#496C2211yescharacteristic, complemented
191C61×#495C2211yescharacteristic, complemented
192C61×#489C2211yescharacteristic, complemented
193C61×#486C2211yescharacteristic, complemented
194C61×#464C2211yescharacteristic, complemented
195C61×#463C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic, complemented
197C61×#459C2211yescharacteristic, complemented
198C61×#452C2211yescharacteristic, complemented
199C61×#450C2211yescharacteristic, complemented
200C61×#449C2211yescharacteristic, complemented
201C61×#447C2211yescharacteristic, complemented
202C61×#433C2211yescharacteristic, complemented
203C24×D61—21no—
204C2×#11758226C2311yescharacteristic
205C2×#11758226C2311yescharacteristic
206C2×#11758222—21no—
207C2×#11758222C2311yescharacteristic
208C2×#11758224—21no—
209C2×#11758224C2311yescharacteristic
210C2×#11758224C2311yescharacteristic
211#41×D61—42no—
212#41×D61—42no—
213C2×Q8×D61C2311yescharacteristic
214C22×D244C2311yescharacteristic
215C22×C22⋊D61—21no—
216C2×D4×D61—21no—
217C2×D4×D61—21no—
218C2×D4×D61—21no—
219C2×D4×D61—21no—
220C2×D4×D61—21no—
221C2×D4×D61—21no—
222C2×D4×D61—21no—
223C2×D4×D61—42no—
224C2×D4×D61—42no—
225C2×D4×D61C2311yescharacteristic
226C2×D4×D61C2311yescharacteristic
227C2×D4×D61C2311yescharacteristic
228C2×D4×D61C2311yescharacteristic
229C2×D4×D61C2311yescharacteristic
230C22×C4×D61—21no—
231C22×C4×D61C2311yescharacteristic
232#14519809—42no—
233#14519806—42no—
234#14519804—42no—
235#14519804—42no—
236#14519804—42no—
237#14519801—42no—
238#14519801—42no—
239#14519801—42no—
240C2×Dic244C2311yescharacteristic, complemented
241C2×#11758202C2311yescharacteristic, complemented
242C2×#11758202C2311yescharacteristic, complemented
243C2×#11758190C2311yescharacteristic
244C2×#11758190C2311yescharacteristic
245C2×#11758190C2311yescharacteristic, complemented
246C2×#11758190C2311yescharacteristic, complemented
247C2×#11758200C2311yescharacteristic
248C2×#11758200C2311yescharacteristic
249C2×#11758200C2311yescharacteristic, complemented
250C2×#11758200C2311yescharacteristic, complemented
251C2×#11758201C2311yescharacteristic
252C2×#11758201C2311yescharacteristic
253C2×#11758201C2311yescharacteristic, complemented
254C2×#11758201C2311yescharacteristic, complemented
255C2×D488C2311yescharacteristic
256C2×D488C2311yescharacteristic
257C2×D488C2311yescharacteristic, complemented
258C2×#11758199C2311yescharacteristic
259C2×#11758199C2311yescharacteristic
260C2×#11758199C2311yescharacteristic
261C2×#11758199C2311yescharacteristic
262C2×#11758199C2311yescharacteristic, complemented
263C2×#11758199C2311yescharacteristic, complemented
264C2×#11758189C2311yescharacteristic
265C2×#11758189C2311yescharacteristic
266C2×#11758189C2311yescharacteristic
267C2×#11758189C2311yescharacteristic
268#14519777C2311yescharacteristic, complemented
269#14519775C2311yescharacteristic, complemented
270#14519774C2311yescharacteristic
271#14519774C2311yescharacteristic
272#14519773—21no—
273#14519773—21no—
274#14519773—21no—
275#14519773—21no—
276#14519773C2311yescharacteristic
277#14519773C2311yescharacteristic
278#14519773C2311yescharacteristic
279#14519773C2311yescharacteristic
280#14519773C2311yescharacteristic, complemented
281#14519772—21no—
282#14519772—21no—
283#14519772—21no—
284#14519771—21no—
285#14519770—21no—
286#14519770—21no—
287#14519770—21no—
288#14519769—21no—
289#14519768—21no—
290#14519768C2311yescharacteristic, complemented
291#14519768C2311yescharacteristic, complemented
292#14519767—21no—
293#14519767—21no—
294#14519766—21no—
295#14519766C2311yescharacteristic
296#14519766C2311yescharacteristic
297#14519765C2311yescharacteristic
298#14519765C2311yescharacteristic
299#14519765C2311yescharacteristic, complemented
300#14519764C2311yescharacteristic
301#14519764C2311yescharacteristic
302#14519763—21no—
303#14519763—21no—
304#14519763—21no—
305#14519763—21no—
306#14519763—21no—
307#14519763—21no—
308#14519762—21no—
309#14519762—21no—
310#14519761—21no—
311#14519761—21no—
312#14519760—21no—
313#14519759—21no—
314#14519759—21no—
315#14519759—21no—
316#14519759—21no—
317#14519757—21no—
318#14519757C2311yescharacteristic
319#14519756C2311yescharacteristic
320#14519755—21no—
321#14519754—21no—
322#14519753—21no—
323#14519753—21no—
324#14519753C2311yescharacteristic
325#14519752—21no—
326#14519752—21no—
327#14519752C2311yescharacteristic
328#14519751—21no—
329#14519751—21no—
330#14519751—21no—
331#14519751C2311yescharacteristic
332#14519750—21no—
333#14519750—21no—
334#14519750—21no—
335#14519750—21no—
336#14519750—21no—
337#14519750—21no—
338#14519750—21no—
339#14519749—21no—
340#14519749—21no—
341#14519749—21no—
342#14519749—21no—
343#14519749—21no—
344#14519748—21no—
345#14519748—21no—
346#14519748—21no—
347#14519748C2311yescharacteristic
348#14519747—21no—
349#14519747—21no—
350#14519747—21no—
351#14519747—21no—
352#14519747—21no—
353#14519747—21no—
354#14519747—21no—
355#14519746—21no—
356#14519746—21no—
357#14519745—21no—
358#14519745—21no—
359#14519745—21no—
360#14519745—21no—
361#14519745—21no—
362#14519745—21no—
363#14519745—21no—
364Q8×Dic61—21no—
365Q8×Dic61C2311yescharacteristic, complemented
366C4×Dic122C2311yescharacteristic, complemented
367#14519742—21no—
368#14519742C2311yescharacteristic, complemented
369C4×D244—21no—
370C4×D244C2311yescharacteristic, complemented
371D4×Dic61—21no—
372D4×Dic61C2311yescharacteristic, complemented
373#14519739—21no—
374#14519739—21no—
375#14519739C2311yescharacteristic, complemented
376C4×C22⋊D61—21no—
377#14519737—21no—
378#14519737—21no—
379#14519737—21no—
380#14519737—21no—
381#14519737—21no—
382#14519736C2311yescharacteristic
383#14519735—21no—
384#14519735D411yescharacteristic
385#14519735D411yescharacteristic
386#14519735C2311yescharacteristic
387#14519735C2311yescharacteristic
388#14519734C2311yescharacteristic
389#14519734C2311yescharacteristic
390#14519733—21no—
391#14519733D411yescharacteristic
392#14519733D411yescharacteristic
393C4⋊C4×D61D411yescharacteristic
394C4⋊C4×D61D411yescharacteristic
395C22⋊C4×D61—21no—
396C22⋊C4×D61—21no—
397C22⋊C4×D61—21no—
398C22⋊C4×D61—21no—
399C22⋊C4×D61D411yescharacteristic
400C22⋊C4×D61D411yescharacteristic
401C2×C4×Dic61—21no—
402C42×D61—21no—
403C42×D61C2311yescharacteristic
404C42×D61C2311yescharacteristic
405C4⋊#92418C2311yescharacteristic, complemented
406C4⋊#92418C2311yescharacteristic, complemented
407#14519706C2311yescharacteristic, complemented
408#14519706C2311yescharacteristic, complemented
409#14519706C2311yescharacteristic, complemented
410#14519706C2311yescharacteristic, complemented
411#14519702C2311yescharacteristic, complemented
412#14519702C2311yescharacteristic, complemented
413#14519701C2311yescharacteristic, complemented
414#14519701C2311yescharacteristic, complemented
415#14519700C2311yescharacteristic, complemented
416#14519700C2311yescharacteristic, complemented
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519699C2311yescharacteristic, complemented
422#14519699C2311yescharacteristic, complemented
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519698C2311yescharacteristic
426#14519698C2311yescharacteristic
427#14519698C2311yescharacteristic, complemented
428#14519698C2311yescharacteristic, complemented
429#14519697C2311yescharacteristic
430#14519697C2311yescharacteristic
431#14519697C2311yescharacteristic
432#14519697C2311yescharacteristic
433#14519697C2311yescharacteristic, complemented
434#14519697C2311yescharacteristic, complemented
435C22⋊#92418C2311yescharacteristic
436C22⋊#92418C2311yescharacteristic
437#14519689C2311yescharacteristic
438#14519689C2311yescharacteristic
439#14519689C2311yescharacteristic
440#14519689C2311yescharacteristic
441#14519688C2311yescharacteristic, complemented
442#14519687C2311yescharacteristic, complemented
443#14519687C2311yescharacteristic, complemented
444C4×#92418C2311yescharacteristic, complemented
445C8×Dic61C2311yescharacteristic, complemented
446C8×Dic61C2311yescharacteristic, complemented
447C2×#41×C61C2311yescharacteristic
448C22×D4×C61C2311yescharacteristic
449C2×Q16×C61C2311yescharacteristic, complemented
450C2×SD16×C61C2311yescharacteristic
451C2×SD16×C61C2311yescharacteristic
452C2×SD16×C61C2311yescharacteristic, complemented
453C2×SD16×C61C2311yescharacteristic, complemented
454C2×D8×C61C2311yescharacteristic
455C2×D8×C61C2311yescharacteristic
456C2×D8×C61C2311yescharacteristic, complemented
457C4⋊Q8×C61C2311yescharacteristic, complemented
458#127×C61C2311yescharacteristic
459#127×C61C2311yescharacteristic
460#126×C61—21no—
461#124×C61—21no—
462#124×C61C2311yescharacteristic
463#124×C61C2311yescharacteristic
464#124×C61C2311yescharacteristic, complemented
465#123×C61—21no—
466C22⋊Q8×C61—21no—
467C22⋊Q8×C61C2311yescharacteristic
468#121×C61—21no—
469#121×C61—21no—
470#121×C61C2311yescharacteristic
471#120×C61—21no—
472#120×C61—21no—
473C4×Q8×C61C2311yescharacteristic, complemented
474C4×D4×C61C2311yescharacteristic, complemented
475#117×C61C2311yescharacteristic
476C4⋊C8×C61C2311yescharacteristic, complemented
477C4⋊C8×C61C2311yescharacteristic, complemented
478#103×C61C2311yescharacteristic, complemented
479#103×C61C2311yescharacteristic, complemented
480#102×C61C2311yescharacteristic
481#102×C61C2311yescharacteristic
482#102×C61C2311yescharacteristic
483#102×C61C2311yescharacteristic
484#102×C61C2311yescharacteristic, complemented
485#102×C61C2311yescharacteristic, complemented
486C22⋊C8×C61C2311yescharacteristic
487C22⋊C8×C61C2311yescharacteristic
488#97×C61C2311yescharacteristic, complemented
489C4×C8×C61C2311yescharacteristic, complemented
490C24×C61—21no—
491C23×D61—21no—
492C23×D61—21no—
493C23×D61—21no—
494C23×D61—21no—
495C23×D61—21no—
496C23×D61—21no—
497C23×D61—44no—
498C23×D61—82no—
499C23×D61—82no—
500C23×D61C2×D411yescharacteristic
501#41×C61—41no—
502#41×C61—41no—
503C2×Q8×C61—21no—
504C2×Q8×C61C2411yescharacteristic
505C2×Q8×C61C2411yescharacteristic
506C2×D4×C61—21no—
507C2×D4×C61—21no—
508C2×D4×C61—21no—
509C2×D4×C61—21no—
510C2×D4×C61—21no—
511C2×D4×C61—21no—
512C2×D4×C61—21no—
513C2×D4×C61—41no—
514C2×D4×C61—41no—
515C2×D4×C61C2411yescharacteristic
516C2×D4×C61C2411yescharacteristic
517C2×D4×C61C2411yescharacteristic
518C2×D4×C61C2411yescharacteristic
519C22×C4×C61—21no—
520C22×C4×C61—21no—
521C22×C4×C61C2411yescharacteristic
522C2×C22⋊D61—21no—
523C2×C22⋊D61—21no—
524C2×C22⋊D61—21no—
525C2×C22⋊D61—21no—
526C2×C22⋊D61—21no—
527C2×C22⋊D61—21no—
528C2×C22⋊D61—21no—
529C2×C22⋊D61—21no—
530C2×C22⋊D61—21no—
531C2×C22⋊D61—21no—
532C2×C22⋊D61—21no—
533C2×C22⋊D61—21no—
534C2×C22⋊D61—21no—
535C2×C22⋊D61—21no—
536C2×C22⋊D61—21no—
537C2×C22⋊D61—21no—
538C2×C22⋊D61—21no—
539C2×C22⋊D61—21no—
540C2×C22⋊D61—21no—
541C2×C22⋊D61—21no—
542C2×C22⋊D61—44no—
543C22×Dic61—21no—
544C22×Dic61—21no—
545C22×Dic61—21no—
546C22×Dic61C2×D411yescharacteristic
547#11758226—22no—
548#11758226—22no—
549#11758226—41no—
550#11758226—41no—
551Q8×D61—22no—
552Q8×D61—22no—
553#11758224—22no—
554#11758224—22no—
555#11758224—41no—
556#11758224—41no—
557#11758224—44no—
558D4×D61—22no—
559D4×D61—22no—
560D4×D61—22no—
561D4×D61—22no—
562D4×D61—22no—
563D4×D61—22no—
564D4×D61—41no—
565D4×D61—41no—
566D4×D61—41no—
567D4×D61—41no—
568D4×D61—44no—
569D4×D61—44no—
570D4×D61—44no—
571D4×D61—82no—
572D4×D61—82no—
573D4×D61—82no—
574D4×D61—82no—
575#11758222—41no—
576#11758222—41no—
577#11758222—44no—
578C2×D244—21no—
579C2×D244—21no—
580C2×D244—21no—
581C2×D244—21no—
582C2×D244—21no—
583C2×D244—21no—
584C2×D244—21no—
585C2×D244—21no—
586C2×D244—41no—
587C2×D244—41no—
588C2×D244C2411yescharacteristic
589C2×D244C2411yescharacteristic
590C2×D244C2411yescharacteristic
591C2×D244C2411yescharacteristic
592C2×C4×D61—22no—
593C2×C4×D61—22no—
594C2×C4×D61—21no—
595C2×C4×D61—21no—
596C2×C4×D61—21no—
597C2×C4×D61—21no—
598C2×C4×D61—21no—
599C2×C4×D61—21no—
600C2×C4×D61—44no—
601C2×C4×D61C2×D411yescharacteristic
602C2×C4×D61C2×D411yescharacteristic
603C2×C4×D61C2×D411yescharacteristic
604C2×C4×D61C2×D411yescharacteristic
605C2×C4×D61C2×D411yescharacteristic
606C2×C4×D61C2×D411yescharacteristic
607C2×C4×D61C2411yescharacteristic
608C2×C4×D61C2411yescharacteristic
609C2×Dic122—21no—
610C2×Dic122—21no—
611C2×Dic122C2411yescharacteristic
612C2×Dic122C2411yescharacteristic
613Q16×C61—41no—
614SD16×C61—41no—
615SD16×C61—41no—
616SD16×C61—41no—
617SD16×C61—41no—
618D8×C61—41no—
619D8×C61—41no—
620D8×C61—41no—
621C2×C8×C61C2411yescharacteristic
622C2×C8×C61C2411yescharacteristic
623C2×C8×C61C2411yescharacteristic
624C2×C8×C61C2411yescharacteristic
625C4⋊C4×C61—21no—
626C4⋊C4×C61—21no—
627C4⋊C4×C61—21no—
628C4⋊C4×C61C2×D411yescharacteristic
629C4⋊C4×C61C2×D411yescharacteristic
630C4⋊C4×C61C2411yescharacteristic
631C4⋊C4×C61C2411yescharacteristic
632C22⋊C4×C61—21no—
633C22⋊C4×C61—21no—
634C22⋊C4×C61—21no—
635C22⋊C4×C61—21no—
636C22⋊C4×C61—21no—
637C22⋊C4×C61—21no—
638C22⋊C4×C61—21no—
639C22⋊C4×C61—21no—
640C22⋊C4×C61—21no—
641C22⋊C4×C61C2×D411yescharacteristic
642C22⋊C4×C61C2×D411yescharacteristic
643C42×C61—21no—
644C42×C61C2411yescharacteristic
645C42×C61C2411yescharacteristic
646C22⋊Dic61—21no—
647C22⋊Dic61—21no—
648C22⋊Dic61—21no—
649C22⋊Dic61—21no—
650C22⋊Dic61—21no—
651C22⋊Dic61—21no—
652C22⋊Dic61—21no—
653C22⋊Dic61C2×D411yescharacteristic
654C22⋊Dic61C2×D411yescharacteristic
655#11758202—41no—
656#11758202—41no—
657#11758201—41no—
658#11758201—41no—
659#11758201—41no—
660#11758201—41no—
661#11758200—41no—
662#11758200—41no—
663#11758200—41no—
664#11758200—41no—
665#11758199—41no—
666#11758199—41no—
667#11758199—41no—
668#11758199—41no—
669#11758199—41no—
670#11758199—41no—
671#11758198—21no—
672#11758198—21no—
673#11758198—21no—
674#11758198—21no—
675#11758198—21no—
676#11758198—21no—
677#11758198—21no—
678#11758198—21no—
679#11758198—21no—
680#11758198—21no—
681#11758198—21no—
682#11758198—21no—
683#11758198—21no—
684#11758198—21no—
685#11758198—21no—
686#11758198—21no—
687#11758198—21no—
688#11758198—21no—
689#11758198C2×D411yescharacteristic
690#11758198C2×D411yescharacteristic
691#11758198C2×D411yescharacteristic
692#11758198C2×D411yescharacteristic
693C4⋊Dic61—21no—
694C4⋊Dic61—21no—
695C4⋊Dic61—21no—
696C4⋊Dic61—21no—
697C4⋊Dic61—21no—
698C4⋊Dic61C2×D411yescharacteristic
699C4⋊Dic61C2×D411yescharacteristic
700C4⋊Dic61C2411yescharacteristic
701C4⋊Dic61C2411yescharacteristic
702#11758196—21no—
703#11758196—21no—
704#11758196—21no—
705#11758196—21no—
706#11758196—21no—
707#11758196—21no—
708#11758196—21no—
709#11758196—21no—
710#11758196C2×D411yescharacteristic
711#11758196C2×D411yescharacteristic
712#11758196C2×D411yescharacteristic
713#11758196C2×D411yescharacteristic
714C4×Dic61—21no—
715C4×Dic61—21no—
716C4×Dic61—21no—
717C4×Dic61—21no—
718C4×Dic61—21no—
719C4×Dic61C2×D411yescharacteristic
720C4×Dic61C2×D411yescharacteristic
721C4×Dic61C2×D411yescharacteristic
722C4×Dic61C2×D411yescharacteristic
723C4×Dic61C2411yescharacteristic
724C4×Dic61C2411yescharacteristic
725C2×#92418C2411yescharacteristic
726C2×#92418C2411yescharacteristic
727C2×#92418C2411yescharacteristic
728C2×#92418C2411yescharacteristic
729Dic244—41no—
730D488—41no—
731D488—41no—
732D488—41no—
733#11758190—41no—
734#11758190—41no—
735#11758190—41no—
736#11758190—41no—
737#11758189—22no—
738#11758189—22no—
739#11758189—22no—
740#11758189—22no—
741C23×C61—21no—
742C23×C61—21no—
743C23×C61—21no—
744C23×C61—21no—
745C23×C61—42no—
746C23×C61—81no—
747C23×C61—81no—
748C23×C61C22×D411yescharacteristic
749C22×D61—22no—
750C22×D61—21no—
751C22×D61—21no—
752C22×D61—21no—
753C22×D61—21no—
754C22×D61—41no—
755C22×D61—41no—
756C22×D61—42no—
757C22×D61—42no—
758C22×D61—42no—
759C22×D61—42no—
760C22×D61—42no—
761C22×D61—42no—
762C22×D61—42no—
763C22×D61—42no—
764C22×D61—42no—
765C22×D61—42no—
766C22×D61—42no—
767C22×D61—42no—
768C22×D61—81no—
769C22×D61—81no—
770C22×D61—81no—
771C22×D61—81no—
772C22×D61—81no—
773C22×D61—81no—
774C22×D61—816no—
775C22×D61C22×D411yescharacteristic
776C22×D61C22×D411yescharacteristic
777Q8×C61—21no—
778Q8×C61—21no—
779Q8×C61—21no—
780Q8×C61—21no—
781Q8×C61—81no—
782D4×C61—21no—
783D4×C61—21no—
784D4×C61—21no—
785D4×C61—21no—
786D4×C61—21no—
787D4×C61—21no—
788D4×C61—21no—
789D4×C61—21no—
790D4×C61—42no—
791D4×C61—42no—
792D4×C61—81no—
793D4×C61—81no—
794D4×C61—81no—
795D4×C61—81no—
796D4×C61—81no—
797C2×C4×C61—21no—
798C2×C4×C61—21no—
799C2×C4×C61—21no—
800C2×C4×C61—21no—
801C2×C4×C61—21no—
802C2×C4×C61—21no—
803C2×C4×C61—42no—
804C2×C4×C61—81no—
805C2×C4×C61C22×D411yescharacteristic
806C2×C4×C61C22×D411yescharacteristic
807C2×C4×C61C22×D411yescharacteristic
808C2×C4×C61C22×D411yescharacteristic
809C2×C4×C61C22×D411yescharacteristic
810C2×C4×C61C2511yescharacteristic
811C22⋊D61—42no—
812C22⋊D61—42no—
813C22⋊D61—42no—
814C22⋊D61—42no—
815C22⋊D61—42no—
816C22⋊D61—42no—
817C22⋊D61—42no—
818C22⋊D61—42no—
819C22⋊D61—81no—
820C22⋊D61—81no—
821C22⋊D61—81no—
822C22⋊D61—81no—
823C22⋊D61—81no—
824C22⋊D61—81no—
825C22⋊D61—81no—
826C22⋊D61—81no—
827C22⋊D61—81no—
828C22⋊D61—81no—
829C22⋊D61—81no—
830C22⋊D61—81no—
831C2×Dic61—22no—
832C2×Dic61—21no—
833C2×Dic61—21no—
834C2×Dic61—21no—
835C2×Dic61—21no—
836C2×Dic61—42no—
837C2×Dic61—42no—
838C2×Dic61—81no—
839C2×Dic61C22×D411yescharacteristic
840C2×Dic61C22×D411yescharacteristic
841C2×Dic61C22×D411yescharacteristic
842C2×Dic61C22×D411yescharacteristic
843C2×Dic61C22×D411yescharacteristic
844C2×Dic61C22×D411yescharacteristic
845D244—21no—
846D244—21no—
847D244—21no—
848D244—21no—
849D244—21no—
850D244—21no—
851D244—21no—
852D244—21no—
853D244—42no—
854D244—42no—
855D244—42no—
856D244—81no—
857D244—81no—
858D244—81no—
859D244—81no—
860D244—81no—
861C4×D61—22no—
862C4×D61—21no—
863C4×D61—21no—
864C4×D61—22no—
865C4×D61—41no—
866C4×D61—41no—
867C4×D61—41no—
868C4×D61—41no—
869C4×D61—42no—
870C4×D61—42no—
871C4×D61—42no—
872C4×D61—42no—
873C4×D61—81no—
874C4×D61—81no—
875C4×D61H(5,𝔽2)12yes—
876C4×D61H(5,𝔽2)12yes—
877Dic122—21no—
878Dic122—21no—
879Dic122—21no—
880Dic122—21no—
881Dic122—42no—
882Dic122—81no—
883C8×C61—21no—
884C8×C61—21no—
885C8×C61—21no—
886C8×C61—21no—
887#92418—21no—
888#92418—21no—
889#92418—21no—
890#92418—21no—
891#60806—611nomaximal, Sylow
892C22×C61—21no—
893C22×C61—21no—
894C22×C61—21no—
895C22×C61—41no—
896C22×C61—41no—
897C22×C61—41no—
898C22×C61—41no—
899C22×C61—41no—
900C22×C61—41no—
901C22×C61—41no—
902C22×C61—41no—
903C22×C61—41no—
904C22×C61—41no—
905C22×C61—41no—
906C22×C61—41no—
907C22×C61—84no—
908C22×C61C23×D411yescharacteristic
909C2×D61—21no—
910C2×D61—21no—
911C2×D61—21no—
912C2×D61—21no—
913C2×D61—21no—
914C2×D61—44no—
915C2×D61—41no—
916C2×D61—41no—
917C2×D61—41no—
918C2×D61—41no—
919C2×D61—41no—
920C2×D61—41no—
921C2×D61—41no—
922C2×D61—41no—
923C2×D61—41no—
924C2×D61—41no—
925C2×D61—41no—
926C2×D61—41no—
927C2×D61—84no—
928C2×D61—84no—
929C2×D61—84no—
930C2×D61—84no—
931C2×D61—84no—
932C2×D61—84no—
933C2×D61#53512yes—
934C4×C61—21no—
935C4×C61—21no—
936C4×C61—21no—
937C4×C61—21no—
938C4×C61—21no—
939C4×C61—41no—
940C4×C61—41no—
941C4×C61—41no—
942C4×C61—41no—
943C4×C61C2×H(5,𝔽2)11yescharacteristic
944C4×C61C2×H(5,𝔽2)11yescharacteristic
945Dic61—21no—
946Dic61—21no—
947Dic61—21no—
948Dic61—21no—
949Dic61—21no—
950Dic61—41no—
951Dic61—41no—
952Dic61—41no—
953Dic61—41no—
954Dic61#53512yes—
955#3455—611no—
956C2×#535—611no—
957#3224—611no—
958#3224—611no—
959#3224—611no—
960#3224—611no—
961#3224—611no—
962#3224—611no—
963#3224—611no—
964#3224D6111yescharacteristic, complemented
965#3222—611no—
966#3222—611no—
967#3222—611no—
968#3222—611no—
969#3220—611no—
970#3220—611no—
971#3220—611no—
972#3220—611no—
973#3153—611no—
974#3151—611no—
975#3140—611no—
976#3138—611no—
977#3040—611no—
978#3040—611no—
979#3038—611no—
980#3038—611no—
981#3005—611no—
982#3005—611no—
983#3003—611no—
984#3003—611no—
985#2921—611no—
986C2×C61—41no—
987C2×C61—81no—
988C2×C61—81no—
989C2×C61—81no—
990C2×C61—81no—
991C2×C61C2×#53511yescharacteristic
992C2×C61#358511yescharacteristic
993C2×C61#358511yescharacteristic
994D61—22no—
995D61—41no—
996D61—81no—
997D61—81no—
998D61—81no—
999D61—81no—
1000C22×#41—611no—
1001C23×D4—611no—
1002C2×#137—611no—
1003C2×#137—611no—
1004C2×AGL(1,ℤ/8)—611no—
1005C2×AGL(1,ℤ/8)—611no—
1006C2×AGL(1,ℤ/8)—611no—
1007C2×AGL(1,ℤ/8)—611no—
1008C2×AGL(1,ℤ/8)—611no—
1009C2×AGL(1,ℤ/8)—611no—
1010#542—611no—
1011#542—611no—
1012#542—611no—
1013#542C2×D6111yescharacteristic, complemented
1014#541—611no—
1015#541—611no—
1016#540—611no—
1017#540—611no—
1018#539—1221no—
1019#539—1221no—
1020#538—1221no—
1021#538—1221no—
1022#535—611no—
1023#535—611no—
1024#535—611no—
1025#535—611no—
1026#535—611no—
1027#535—611no—
1028#535—611no—
1029#535—1221no—
1030#535—1221no—
1031#535—1221no—
1032#535—1221no—
1033#535C2×D6111yescharacteristic
1034#533—611no—
1035#532—611no—
1036C2×#127—611no—
1037C2×#127—611no—
1038#529—1221no—
1039#529—1221no—
1040#529—1221no—
1041#529—1221no—
1042C2×#124—611no—
1043C2×#124—611no—
1044#525—611no—
1045#525—611no—
1046C2×#121—1221no—
1047C2×#121—1221no—
1048C2×#120—1221no—
1049C2×#120—1221no—
1050C4×#41—611no—
1051C4×#41—611no—
1052C2×#117—611no—
1053#497—611no—
1054#497—611no—
1055#496—611no—
1056#496—611no—
1057#496—611no—
1058#496—611no—
1059#496—611no—
1060#496C2×D6111yescharacteristic, complemented
1061#495—611no—
1062#495—611no—
1063#495—611no—
1064#495C2×D6111yescharacteristic, complemented
1065#493—611no—
1066#493—611no—
1067#492—611no—
1068#492—611no—
1069#490—611no—
1070#490—611no—
1071#490—611no—
1072#490—611no—
1073#489—611no—
1074#489—611no—
1075#489—611no—
1076#489C2×D6111yescharacteristic, complemented
1077#488—611no—
1078#488—611no—
1079#488—611no—
1080#488—611no—
1081#486—611no—
1082#486—611no—
1083#486—611no—
1084#486C2×D6111yescharacteristic, complemented
1085#464—611no—
1086#464—611no—
1087#464—611no—
1088#464—611no—
1089#464—611no—
1090#464—611no—
1091#464—611no—
1092#464C2×D6111yescharacteristic, complemented
1093#463—611no—
1094#463—611no—
1095#463—611no—
1096#463—611no—
1097#463—611no—
1098#463—611no—
1099#463—611no—
1100#463C2×D6111yescharacteristic, complemented
1101#460—611no—
1102#460—611no—
1103#460—611no—
1104#460—611no—
1105#460—611no—
1106#460—611no—
1107#460—611no—
1108#460C2×D6111yescharacteristic, complemented
1109#459—611no—
1110#459—611no—
1111#459—611no—
1112#459—611no—
1113#459—611no—
1114#459—611no—
1115#459—611no—
1116#459C2×D6111yescharacteristic, complemented
1117#452—611no—
1118#452—611no—
1119#452—611no—
1120#452—611no—
1121#452—611no—
1122#452—611no—
1123#452—611no—
1124#452C2×D6111yescharacteristic, complemented
1125#450—611no—
1126#450—611no—
1127#450—611no—
1128#450—611no—
1129#450—611no—
1130#450—611no—
1131#450—611no—
1132#450C2×D6111yescharacteristic, complemented
1133#449—611no—
1134#449—611no—
1135#449—611no—
1136#449—611no—
1137#449—611no—
1138#449—611no—
1139#449—611no—
1140#449C2×D6111yescharacteristic, complemented
1141#447—611no—
1142#447—611no—
1143#447—611no—
1144#447—611no—
1145#447—611no—
1146#447—611no—
1147#447—611no—
1148#447C2×D6111yescharacteristic, complemented
1149#433—611no—
1150#433—611no—
1151#433—611no—
1152#433—611no—
1153#433—611no—
1154#433—611no—
1155#433—611no—
1156#433C2×D6111yescharacteristic, complemented
1157#423—611no—
1158#423—611no—
1159#419—611no—
1160#419—611no—
1161#418—611no—
1162#418—611no—
1163#418—611no—
1164#418—611no—
1165#418—611no—
1166#418—611no—
1167#407—611no—
1168#407—611no—
1169C4×M16—611no—
1170C4×M16—611no—
1171C61#6080611yescharacteristic, complemented, Sylow
1172C25—1221no—
1173C2×#41—611no—
1174C2×#41—611no—
1175C2×#41—611no—
1176C2×#41—611no—
1177C2×#41—611no—
1178C2×#41—1221no—
1179C2×#41—1221no—
1180C2×#41—2442no—
1181C2×#41—2442no—
1182C2×#41C22×D6111yescharacteristic
1183C22×Q8—611no—
1184C22×D4—611no—
1185C22×D4—611no—
1186C22×D4—611no—
1187C22×D4—611no—
1188C22×D4—611no—
1189C22×D4—611no—
1190C22×D4—1221no—
1191C22×D4—1221no—
1192C22×D4—1221no—
1193C22×D4—1221no—
1194C22×D4—1221no—
1195C22×D4—1221no—
1196C22×D4—1221no—
1197C22×D4—1221no—
1198C22×D4—2442no—
1199C22×D4—2442no—
1200C22×D4C22×D6111yescharacteristic
1201C23×C4—611no—
1202C23×C4—1221no—
1203#137—2442no—
1204#137—2442no—
1205AGL(1,ℤ/8)—2442no—
1206AGL(1,ℤ/8)—2442no—
1207AGL(1,ℤ/8)—2442no—
1208AGL(1,ℤ/8)—2442no—
1209AGL(1,ℤ/8)—2442no—
1210AGL(1,ℤ/8)—2442no—
1211C2×Q16—611no—
1212C2×Q16—611no—
1213C2×Q16—611no—
1214C2×Q16C22×D6111yescharacteristic, complemented
1215C2×SD16—611no—
1216C2×SD16—611no—
1217C2×SD16—611no—
1218C2×SD16—611no—
1219C2×SD16—611no—
1220C2×SD16—611no—
1221C2×SD16—611no—
1222C2×SD16—611no—
1223C2×SD16—611no—
1224C2×SD16—611no—
1225C2×SD16—611no—
1226C2×SD16—611no—
1227C2×SD16C22×D6111yescharacteristic
1228C2×SD16C22×D6111yescharacteristic
1229C2×SD16C22×D6111yescharacteristic, complemented
1230C2×SD16C22×D6111yescharacteristic, complemented
1231C2×D8—611no—
1232C2×D8—611no—
1233C2×D8—611no—
1234C2×D8—611no—
1235C2×D8—611no—
1236C2×D8—611no—
1237C2×D8—611no—
1238C2×D8—611no—
1239C2×D8—611no—
1240C2×D8C22×D6111yescharacteristic
1241C2×D8C22×D6111yescharacteristic
1242C2×D8C22×D6111yescharacteristic, complemented
1243C2×M16—611no—
1244C2×M16—611no—
1245C2×M16—611no—
1246C2×M16—611no—
1247C4⋊Q8—611no—
1248C4⋊Q8—611no—
1249C4⋊Q8C22×D6111yescharacteristic, complemented
1250#127—611no—
1251#127—611no—
1252#127—611no—
1253#127—611no—
1254#127—611no—
1255#127—611no—
1256#127—611no—
1257#127—1221no—
1258#127—1221no—
1259#127—1221no—
1260#127—1221no—
1261#127C22×D6111yescharacteristic
1262#127C22×D6111yescharacteristic
1263#126—21no—
1264#126—1221no—
1265#126—1221no—
1266#126—1221no—
1267#126—1221no—
1268#126—1221no—
1269#126—1221no—
1270#126—1221no—
1271#125—611no—
1272#125—611no—
1273#125—1221no—
1274#125—1221no—
1275#125—1221no—
1276#125—1221no—
1277#124—21no—
1278#124—611no—
1279#124—611no—
1280#124—611no—
1281#124—611no—
1282#124—611no—
1283#124—611no—
1284#124—611no—
1285#124—1221no—
1286#124—1221no—
1287#124—1221no—
1288#124—1221no—
1289#124—1221no—
1290#124—1221no—
1291#124—1221no—
1292#124C22×D6111yescharacteristic
1293#124C22×D6111yescharacteristic
1294#124C22×D6111yescharacteristic, complemented
1295#123—21no—
1296#123—1221no—
1297#123—1221no—
1298#123—1221no—
1299#123—1221no—
1300#123—1221no—
1301#123—1221no—
1302#123—1221no—
1303#123—1221no—
1304#123—1221no—
1305C22⋊Q8—21no—
1306C22⋊Q8—611no—
1307C22⋊Q8—611no—
1308C22⋊Q8—611no—
1309C22⋊Q8—1221no—
1310C22⋊Q8—1221no—
1311C22⋊Q8—1221no—
1312C22⋊Q8—1221no—
1313C22⋊Q8—1221no—
1314C22⋊Q8C22×D6111yescharacteristic
1315#121—21no—
1316#121—21no—
1317#121—611no—
1318#121—611no—
1319#121—611no—
1320#121—1221no—
1321#121—1221no—
1322#121—1221no—
1323#121—1221no—
1324#121—1221no—
1325#121—1221no—
1326#121—1221no—
1327#121—1221no—
1328#121—1221no—
1329#121—1221no—
1330#121—1221no—
1331#121—1221no—
1332#121—1221no—
1333#121—1221no—
1334#121—1221no—
1335#121—1221no—
1336#121—1221no—
1337#121—1221no—
1338#121—1221no—
1339#121—1221no—
1340#121C22×D6111yescharacteristic
1341#120—21no—
1342#120—21no—
1343#120—1221no—
1344#120—1221no—
1345#120—1221no—
1346#120—1221no—
1347#120—1221no—
1348#120—1221no—
1349#120—1221no—
1350#120—1221no—
1351#120—1221no—
1352#120—1221no—
1353#120—1221no—
1354#120—1221no—
1355#120—1221no—
1356#120—1221no—
1357#120—1221no—
1358#120—1221no—
1359C4×Q8—611no—
1360C4×Q8—611no—
1361C4×Q8—611no—
1362C4×Q8—1221no—
1363C4×Q8—1221no—
1364C4×Q8C22×D6111yescharacteristic, complemented
1365C4×D4—611no—
1366C4×D4—611no—
1367C4×D4—611no—
1368C4×D4—1221no—
1369C4×D4—1221no—
1370C4×D4—1221no—
1371C4×D4—1221no—
1372C4×D4—1221no—
1373C4×D4—1221no—
1374C4×D4—1221no—
1375C4×D4—1221no—
1376C4×D4—1221no—
1377C4×D4—1221no—
1378C4×D4C22×D6111yescharacteristic, complemented
1379#117—611no—
1380#117—611no—
1381#117—611no—
1382#117—611no—
1383#117—611no—
1384#117—611no—
1385#117—611no—
1386#117—611no—
1387#117—611no—
1388#117—1221no—
1389#117—1221no—
1390#117C22×D6111yescharacteristic
1391C2×C4⋊C4—611no—
1392C2×C4⋊C4—611no—
1393C2×C22⋊C4—611no—
1394C2×C22⋊C4—611no—
1395C2×C22⋊C4—1221no—
1396C2×C22⋊C4—1221no—
1397C2×C22⋊C4—1221no—
1398C2×C22⋊C4—1221no—
1399C2×C42—611no—
1400C2×C42—611no—
1401C2×C42—1221no—
1402C2×C42—1221no—
1403C4⋊C8—611no—
1404C4⋊C8—611no—
1405C4⋊C8—611no—
1406C4⋊C8—611no—
1407C4⋊C8—611no—
1408C4⋊C8—611no—
1409C4⋊C8C22×D6111yescharacteristic, complemented
1410C4⋊C8C22×D6111yescharacteristic, complemented
1411#103—611no—
1412#103—611no—
1413#103—611no—
1414#103—611no—
1415#103—611no—
1416#103—611no—
1417#103C22×D6111yescharacteristic, complemented
1418#103C22×D6111yescharacteristic, complemented
1419#102—611no—
1420#102—611no—
1421#102—611no—
1422#102—611no—
1423#102—611no—
1424#102—611no—
1425#102—611no—
1426#102—611no—
1427#102—611no—
1428#102—611no—
1429#102—611no—
1430#102—611no—
1431#102—611no—
1432#102—611no—
1433#102—611no—
1434#102—611no—
1435#102—611no—
1436#102—611no—
1437#102C22×D6111yescharacteristic
1438#102C22×D6111yescharacteristic
1439#102C22×D6111yescharacteristic
1440#102C22×D6111yescharacteristic
1441#102C22×D6111yescharacteristic, complemented
1442#102C22×D6111yescharacteristic, complemented
1443C22⋊C8—611no—
1444C22⋊C8—611no—
1445C22⋊C8—611no—
1446C22⋊C8—611no—
1447C22⋊C8—611no—
1448C22⋊C8—611no—
1449C22⋊C8C22×D6111yescharacteristic
1450C22⋊C8C22×D6111yescharacteristic
1451#97—611no—
1452#97—611no—
1453#97—611no—
1454#97C22×D6111yescharacteristic, complemented
1455C4×C8—611no—
1456C4×C8—611no—
1457C4×C8—611no—
1458C4×C8C22×D6111yescharacteristic, complemented
1459C24—21no—
1460C24—611no—
1461C24—1221no—
1462C24—1221no—
1463C24—1221no—
1464C24—1221no—
1465C24—1221no—
1466C24—1221no—
1467C24—4882no—
1468C24—4882no—
1469C24—2444no—
1470#41—41no—
1471#41—41no—
1472#41—1222no—
1473#41—1222no—
1474#41—1222no—
1475#41—1222no—
1476#41—2441no—
1477#41—2441no—
1478#41—2444no—
1479#41—2441no—
1480#41—2441no—
1481#41—2444no—
1482#41—2441no—
1483#41—2441no—
1484C2×Q8—21no—
1485C2×Q8—611no—
1486C2×Q8—611no—
1487C2×Q8—1221no—
1488C2×Q8—1222no—
1489C2×Q8—1222no—
1490C2×Q8—1221no—
1491C2×Q8C23×D6111yescharacteristic
1492C2×Q8C23×D6111yescharacteristic
1493C2×D4—21no—
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—41no—
1501C2×D4—41no—
1502C2×D4—611no—
1503C2×D4—611no—
1504C2×D4—611no—
1505C2×D4—611no—
1506C2×D4—1221no—
1507C2×D4—1221no—
1508C2×D4—1221no—
1509C2×D4—1222no—
1510C2×D4—1222no—
1511C2×D4—1222no—
1512C2×D4—1222no—
1513C2×D4—1222no—
1514C2×D4—1222no—
1515C2×D4—1221no—
1516C2×D4—1221no—
1517C2×D4—1221no—
1518C2×D4—1221no—
1519C2×D4—1221no—
1520C2×D4—1221no—
1521C2×D4—1221no—
1522C2×D4—1221no—
1523C2×D4—1221no—
1524C2×D4—1221no—
1525C2×D4—1221no—
1526C2×D4—1221no—
1527C2×D4—1221no—
1528C2×D4—1221no—
1529C2×D4—1221no—
1530C2×D4—1221no—
1531C2×D4—1221no—
1532C2×D4—1221no—
1533C2×D4—1221no—
1534C2×D4—1221no—
1535C2×D4—1221no—
1536C2×D4—1221no—
1537C2×D4—1221no—
1538C2×D4—1221no—
1539C2×D4—1221no—
1540C2×D4—4882no—
1541C2×D4—4882no—
1542C2×D4—4882no—
1543C2×D4—4882no—
1544C2×D4—2441no—
1545C2×D4—2441no—
1546C2×D4—2441no—
1547C2×D4—2441no—
1548C2×D4—2441no—
1549C2×D4—2441no—
1550C2×D4—2444no—
1551C2×D4—2444no—
1552C2×D4—2444no—
1553C2×D4—2444no—
1554C2×D4C23×D6111yescharacteristic
1555C2×D4C23×D6111yescharacteristic
1556C2×D4C23×D6111yescharacteristic
1557C2×D4C23×D6111yescharacteristic
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—611no—
1561C22×C4—611no—
1562C22×C4—611no—
1563C22×C4—611no—
1564C22×C4—611no—
1565C22×C4—611no—
1566C22×C4—611no—
1567C22×C4—611no—
1568C22×C4—611no—
1569C22×C4—1222no—
1570C22×C4—1222no—
1571C22×C4—1221no—
1572C22×C4—1221no—
1573C22×C4—1221no—
1574C22×C4—1221no—
1575C22×C4—1221no—
1576C22×C4—1221no—
1577C22×C4—1221no—
1578C22×C4—1221no—
1579C22×C4—1221no—
1580C22×C4—2444no—
1581C22×C4C23×D6111yescharacteristic
1582Q16—41no—
1583Q16—2441no—
1584Q16—2441no—
1585Q16—2441no—
1586SD16—41no—
1587SD16—41no—
1588SD16—41no—
1589SD16—41no—
1590SD16—2441no—
1591SD16—2441no—
1592SD16—2441no—
1593SD16—2441no—
1594SD16—2441no—
1595SD16—2441no—
1596SD16—2441no—
1597SD16—2441no—
1598SD16—2441no—
1599SD16—2441no—
1600SD16—2441no—
1601SD16—2441no—
1602D8—41no—
1603D8—41no—
1604D8—41no—
1605D8—2441no—
1606D8—2441no—
1607D8—2441no—
1608D8—2441no—
1609D8—2441no—
1610D8—2441no—
1611D8—2441no—
1612D8—2441no—
1613D8—2441no—
1614M16—1222no—
1615M16—1222no—
1616M16—1222no—
1617M16—1222no—
1618C2×C8—611no—
1619C2×C8—611no—
1620C2×C8—611no—
1621C2×C8—611no—
1622C2×C8C23×D6111yescharacteristic
1623C2×C8C23×D6111yescharacteristic
1624C2×C8C23×D6111yescharacteristic
1625C2×C8C23×D6111yescharacteristic
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—611no—
1630C4⋊C4—611no—
1631C4⋊C4—611no—
1632C4⋊C4—611no—
1633C4⋊C4—611no—
1634C4⋊C4—611no—
1635C4⋊C4—611no—
1636C4⋊C4—611no—
1637C4⋊C4—1221no—
1638C4⋊C4—1221no—
1639C4⋊C4—1221no—
1640C4⋊C4—1221no—
1641C4⋊C4—1221no—
1642C4⋊C4—1221no—
1643C4⋊C4—1221no—
1644C4⋊C4—1221no—
1645C4⋊C4—1221no—
1646C4⋊C4—1221no—
1647C4⋊C4—1221no—
1648C4⋊C4—1221no—
1649C4⋊C4—1221no—
1650C4⋊C4D4×D6111yescharacteristic
1651C4⋊C4D4×D6111yescharacteristic
1652C4⋊C4C23×D6111yescharacteristic
1653C4⋊C4C23×D6111yescharacteristic
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—611no—
1664C22⋊C4—611no—
1665C22⋊C4—611no—
1666C22⋊C4—611no—
1667C22⋊C4—611no—
1668C22⋊C4—611no—
1669C22⋊C4—1221no—
1670C22⋊C4—1221no—
1671C22⋊C4—1221no—
1672C22⋊C4—1221no—
1673C22⋊C4—1221no—
1674C22⋊C4—1221no—
1675C22⋊C4—1221no—
1676C22⋊C4—1221no—
1677C22⋊C4—1221no—
1678C22⋊C4—1221no—
1679C22⋊C4—1221no—
1680C22⋊C4—1221no—
1681C22⋊C4—1221no—
1682C22⋊C4—1221no—
1683C22⋊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—1221no—
1694C22⋊C4D4×D6111yescharacteristic
1695C22⋊C4D4×D6111yescharacteristic
1696C42—21no—
1697C42—611no—
1698C42—611no—
1699C42—611no—
1700C42—611no—
1701C42—611no—
1702C42—611no—
1703C42—1221no—
1704C42—1221no—
1705C42—1221no—
1706C42—1221no—
1707C42—1221no—
1708C42C23×D6111yescharacteristic
1709C42C23×D6111yescharacteristic
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—21no—
1714C23—42no—
1715C23—81no—
1716C23—81no—
1717C23—611no—
1718C23—611no—
1719C23—1222no—
1720C23—1221no—
1721C23—1221no—
1722C23—1221no—
1723C23—1221no—
1724C23—4881no—
1725C23—4881no—
1726C23—4881no—
1727C23—4881no—
1728C23—4881no—
1729C23—4881no—
1730C23—48816no—
1731C23—2441no—
1732C23—2441no—
1733C23—2442no—
1734C23—2442no—
1735C23—2442no—
1736C23—2442no—
1737C23—2442no—
1738C23—2442no—
1739C23—2442no—
1740C23—2442no—
1741C23—2442no—
1742C23—2442no—
1743C23—2442no—
1744C23—2442no—
1745C23C2×D4×D6111yescharacteristic
1746Q8—21no—
1747Q8—21no—
1748Q8—21no—
1749Q8—21no—
1750Q8—81no—
1751Q8—1221no—
1752Q8—1221no—
1753Q8—1221no—
1754Q8—1221no—
1755Q8—4881no—
1756Q8—2442no—
1757D4—21no—
1758D4—21no—
1759D4—21no—
1760D4—21no—
1761D4—21no—
1762D4—21no—
1763D4—21no—
1764D4—21no—
1765D4—42no—
1766D4—42no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—1221no—
1773D4—1221no—
1774D4—1221no—
1775D4—1221no—
1776D4—1221no—
1777D4—1221no—
1778D4—1221no—
1779D4—1221no—
1780D4—4881no—
1781D4—4881no—
1782D4—4881no—
1783D4—4881no—
1784D4—4881no—
1785D4—4881no—
1786D4—4881no—
1787D4—4881no—
1788D4—4881no—
1789D4—4881no—
1790D4—4881no—
1791D4—4881no—
1792D4—4881no—
1793D4—4881no—
1794D4—4881no—
1795D4—4881no—
1796D4—4881no—
1797D4—2442no—
1798D4—2442no—
1799D4—2442no—
1800D4—2442no—
1801D4—2442no—
1802D4—2442no—
1803D4—2442no—
1804D4—2442no—
1805D4—2442no—
1806D4—2442no—
1807D4—2442no—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—42no—
1815C2×C4—81no—
1816C2×C4—611no—
1817C2×C4—612no—
1818C2×C4—612no—
1819C2×C4—611no—
1820C2×C4—611no—
1821C2×C4—611no—
1822C2×C4—611no—
1823C2×C4—611no—
1824C2×C4—1222no—
1825C2×C4—1222no—
1826C2×C4—1222no—
1827C2×C4—1221no—
1828C2×C4—1221no—
1829C2×C4—1221no—
1830C2×C4—1221no—
1831C2×C4—1221no—
1832C2×C4—1221no—
1833C2×C4—4881no—
1834C2×C4—4881no—
1835C2×C4—4881no—
1836C2×C4—2441no—
1837C2×C4—2441no—
1838C2×C4—2441no—
1839C2×C4—2441no—
1840C2×C4—2442no—
1841C2×C4—2442no—
1842C2×C4—2442no—
1843C2×C4—2442no—
1844C2×C4—2442no—
1845C2×C4—2442no—
1846C2×C4C2×D4×D6111yescharacteristic
1847C2×C4C2×D4×D6111yescharacteristic
1848C2×C4C2×D4×D6111yescharacteristic
1849C2×C4C2×D4×D6111yescharacteristic
1850C2×C4C2×D4×D6111yescharacteristic
1851C2×C4C24×D6111yescharacteristic
1852C8—21no—
1853C8—21no—
1854C8—21no—
1855C8—21no—
1856C8—1221no—
1857C8—1221no—
1858C8—1221no—
1859C8—1221no—
1860C22—21no—
1861C22—21no—
1862C22—21no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—84no—
1876C22—612no—
1877C22—1221no—
1878C22—1221no—
1879C22—1221no—
1880C22—1221no—
1881C22—1221no—
1882C22—4884no—
1883C22—4884no—
1884C22—4884no—
1885C22—4884no—
1886C22—4884no—
1887C22—4884no—
1888C22—2444no—
1889C22—2441no—
1890C22—2441no—
1891C22—2441no—
1892C22—2441no—
1893C22—2441no—
1894C22—2441no—
1895C22—2441no—
1896C22—2441no—
1897C22—2441no—
1898C22—2441no—
1899C22—2441no—
1900C22—2441no—
1901C22C22×D4×D6111yescharacteristic
1902C4—21no—
1903C4—21no—
1904C4—21no—
1905C4—21no—
1906C4—21no—
1907C4—41no—
1908C4—41no—
1909C4—41no—
1910C4—41no—
1911C4—612no—
1912C4—1221no—
1913C4—1221no—
1914C4—1221no—
1915C4—1221no—
1916C4—1221no—
1917C4—2441no—
1918C4—2441no—
1919C4—2441no—
1920C4—2441no—
1921C4H(5,𝔽2)×D6111yescharacteristic
1922C4H(5,𝔽2)×D6111yescharacteristic
1923C2—41no—
1924C2—81no—
1925C2—81no—
1926C2—81no—
1927C2—81no—
1928C2—1222no—
1929C2—4881no—
1930C2—4881no—
1931C2—4881no—
1932C2—4881no—
1933C2—2441no—
1934C2#535×D6111yescharacteristic
1935C2#2146059411yescharacteristic
1936C2#2146059711yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3224C2
socleC22×C61C23×D4
hypercenter#3224D61
hypocenterC61#60806
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #21459206C2semidirect
2. #535×D61C2semidirect
3. #21456916C2semidirect
4. #21456915C2semidirect
5. #21456914C2semidirect
6. #21456913C2semidirect
7. #21456908C2semidirect
8. #21456907C2semidirect
9. #21456906C2semidirect
10. #21456890C2semidirect
11. #21456889C2semidirect
12. #21456888C2semidirect
13. #21456887C2semidirect
14. #21456868C2semidirect
15. #21456867C2semidirect
16. #21456866C2semidirect
17. #21456865C2semidirect
18. #21456280C2semidirect
19. #21456268C2semidirect
20. #21456204C2semidirect
21. #21456190C2semidirect
22. #21455310C2semidirect
23. #21455308C2semidirect
24. #21455296C2semidirect
25. #21455294C2semidirect
26. #21455062C2semidirect
27. #21455057C2semidirect
28. #21455047C2semidirect
29. #21455043C2semidirect
30. #21454453C2semidirect
31. C61×#3224C2semidirect
34. C2×#14519809C22semidirect
35. C2×#14519806C22semidirect
38. C2×#14519804C22semidirect
41. C2×#14519801C22semidirect
42. #16840386C22semidirect
43. #16840383C22semidirect
44. #16840381C22semidirect
45. #16840372C22semidirect
46. #16840370C22semidirect
47. #16840365C22semidirect
48. #16840363C22semidirect
64. #16840317C22semidirect
65. #16840311C22semidirect
80. C4×#11758226C22semidirect
81. C4×#11758224C22semidirect
83. #16840155C22semidirect
84. #16840153C22semidirect
85. #16840152C22semidirect
86. #16840151C22semidirect
87. #16840150C22semidirect
88. #16840149C22semidirect
89. #16840148C22semidirect
90. #16840146C22semidirect
91. #16840144C22semidirect
92. #16840144C22semidirect
93. #16840137C22semidirect
94. #16840137C22semidirect
95. #16840133C22semidirect
96. #16840133C22semidirect
97. #16840125C22semidirect
98. #16840125C22semidirect
99. #16840125C22semidirect
100. #16840125C22semidirect
101. #16840124C22semidirect
102. #16840122C22semidirect
103. #16840121C22semidirect
104. #16840118C22semidirect
105. #16840118C22semidirect
106. #16840115C22semidirect
107. #16840115C22semidirect
108. #16840110C22semidirect
109. #16840109C22semidirect
110. #16840108C22semidirect
111. #16839987C22semidirect
112. #16839986C22semidirect
113. #16839985C22semidirect
114. #16839984C22semidirect
115. #16839983C22semidirect
116. #16839982C22semidirect
117. #16839981C22semidirect
118. #16839980C22semidirect
119. #16839979C22semidirect
120. #16839978C22semidirect
121. #16839977C22semidirect
122. #16839976C22semidirect
123. #16839975C22semidirect
124. #16839974C22semidirect
125. #16839963C22semidirect
126. #16839962C22semidirect
127. #16839961C22semidirect
128. #16839961C22semidirect
129. #16839960C22semidirect
130. #16839960C22semidirect
131. #16839959C22semidirect
132. #16839958C22semidirect
133. #16839957C22semidirect
134. #16839956C22semidirect
135. #16839956C22semidirect
136. #16839955C22semidirect
137. #16839955C22semidirect
138. #16839954C22semidirect
139. #16839927C22semidirect
140. #16839926C22semidirect
141. #16839925C22semidirect
142. #16839924C22semidirect
143. #16839923C22semidirect
144. #16839922C22semidirect
145. #16839921C22semidirect
146. #16839915C22semidirect
147. #16839914C22semidirect
148. #16839914C22semidirect
149. #16839913C22semidirect
150. #16839912C22semidirect
151. #16839911C22semidirect
152. #16839911C22semidirect
153. #16839910C22semidirect
154. #16839909C22semidirect
155. #16839908C22semidirect
156. #16839907C22semidirect
157. #16839906C22semidirect
158. #16839905C22semidirect
159. #16839904C22semidirect
160. #16839898C22semidirect
161. #16839897C22semidirect
162. #16839897C22semidirect
163. #16839896C22semidirect
164. #16839895C22semidirect
165. #16839894C22semidirect
166. #16839894C22semidirect
167. #16839824C22semidirect
168. #16839823C22semidirect
169. #16839822C22semidirect
170. #16839822C22semidirect
171. #16839821C22semidirect
172. #16839820C22semidirect
173. #16839820C22semidirect
174. #16839784C22semidirect
175. #16839784C22semidirect
176. #16839769C22semidirect
177. #16839769C22semidirect
182. #16839765C22semidirect
183. #16839765C22semidirect
186. #16839714C22semidirect
187. C4×#11758189C22semidirect
188. C61×#542C22semidirect
190. C61×#496C22semidirect
191. C61×#495C22semidirect
192. C61×#489C22semidirect
193. C61×#486C22semidirect
194. C61×#464C22semidirect
195. C61×#463C22semidirect
196. C61×#460C22semidirect
197. C61×#459C22semidirect
198. C61×#452C22semidirect
199. C61×#450C22semidirect
200. C61×#449C22semidirect
201. C61×#447C22semidirect
202. C61×#433C22semidirect
240. C2×Dic244C23semidirect
241. C2×#11758202C23semidirect
242. C2×#11758202C23semidirect
245. C2×#11758190C23semidirect
246. C2×#11758190C23semidirect
249. C2×#11758200C23semidirect
250. C2×#11758200C23semidirect
253. C2×#11758201C23semidirect
254. C2×#11758201C23semidirect
257. C2×D488C23semidirect
262. C2×#11758199C23semidirect
263. C2×#11758199C23semidirect
268. #14519777C23semidirect
269. #14519775C23semidirect
280. #14519773C23semidirect
290. #14519768C23semidirect
291. #14519768C23semidirect
299. #14519765C23semidirect
365. Q8×Dic61C23semidirect
366. C4×Dic122C23semidirect
368. #14519742C23semidirect
370. C4×D244C23semidirect
372. D4×Dic61C23semidirect
375. #14519739C23semidirect
405. C4⋊#92418C23semidirect
406. C4⋊#92418C23semidirect
407. #14519706C23semidirect
408. #14519706C23semidirect
409. #14519706C23semidirect
410. #14519706C23semidirect
411. #14519702C23semidirect
412. #14519702C23semidirect
413. #14519701C23semidirect
414. #14519701C23semidirect
415. #14519700C23semidirect
416. #14519700C23semidirect
421. #14519699C23semidirect
422. #14519699C23semidirect
427. #14519698C23semidirect
428. #14519698C23semidirect
433. #14519697C23semidirect
434. #14519697C23semidirect
441. #14519688C23semidirect
442. #14519687C23semidirect
443. #14519687C23semidirect
444. C4×#92418C23semidirect
445. C8×Dic61C23semidirect
446. C8×Dic61C23semidirect
449. C2×Q16×C61C23semidirect
452. C2×SD16×C61C23semidirect
453. C2×SD16×C61C23semidirect
456. C2×D8×C61C23semidirect
457. C4⋊Q8×C61C23semidirect
464. #124×C61C23semidirect
473. C4×Q8×C61C23semidirect
474. C4×D4×C61C23semidirect
476. C4⋊C8×C61C23semidirect
477. C4⋊C8×C61C23semidirect
478. #103×C61C23semidirect
479. #103×C61C23semidirect
484. #102×C61C23semidirect
485. #102×C61C23semidirect
488. #97×C61C23semidirect
489. C4×C8×C61C23semidirect
964. #3224D61semidirect
1013. #542C2×D61semidirect
1060. #496C2×D61semidirect
1064. #495C2×D61semidirect
1076. #489C2×D61semidirect
1084. #486C2×D61semidirect
1092. #464C2×D61semidirect
1100. #463C2×D61semidirect
1108. #460C2×D61semidirect
1116. #459C2×D61semidirect
1124. #452C2×D61semidirect
1132. #450C2×D61semidirect
1140. #449C2×D61semidirect
1148. #447C2×D61semidirect
1156. #433C2×D61semidirect
1171. C61#60806semidirect
1214. C2×Q16C22×D61semidirect
1229. C2×SD16C22×D61semidirect
1230. C2×SD16C22×D61semidirect
1242. C2×D8C22×D61semidirect
1249. C4⋊Q8C22×D61semidirect
1294. #124C22×D61semidirect
1364. C4×Q8C22×D61semidirect
1378. C4×D4C22×D61semidirect
1409. C4⋊C8C22×D61semidirect
1410. C4⋊C8C22×D61semidirect
1417. #103C22×D61semidirect
1418. #103C22×D61semidirect
1441. #102C22×D61semidirect
1442. #102C22×D61semidirect
1454. #97C22×D61semidirect
1458. C4×C8C22×D61semidirect

Maximal subgroups

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

subgroupindex
#214592062
#535×D612
#214569162
#214569152
#214569142
#214569132
#214569082
#214569072
#214569062
#214568902
#214568892
#214568882
#214568872
#214568682
#214568672
#214568662
#214568652
#214562802
#214562682
#214562042
#214561902
#214553102
#214553082
#214552962
#214552942
#214550622
#214550572
#214550472
#214550432
#214544532
C61×#32242
#6080661